diff --git "a/data/dm_maths/full_data_2/2078_11255.jsonl" "b/data/dm_maths/full_data_2/2078_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2078_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let f(q) = 10*q - 12*q - 3 - 8. Let w be f(-8). Let j(m) = 2*m**2 - w*m**3 - 1 + 0*m**3 - 8*m**3 + 0. What is j(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3172 + 9494 = y + 3161 + 3200, 0 = 5*b + 4*y + 72 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 5\/8, 2.82668, -2\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/10952 and 33\/512.\nAnswer: 700928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -15. Let x = s - 5.5. Let b(g) = -g**2 - 17*g + 41. Let a be b(-19). What is the closest to 0 in 0.1, a, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18921 and 80801.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 d, and 1 b when four letters picked without replacement from bbbbdhdbdddbddddd?\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 0*q**2 - 1 - 5\/4*q**4 - 3*q + 0*q**3. Differentiate l(y) with respect to y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3393663, 3393664, 3393665, 3393666?\nAnswer: 3393667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 - -0.94. Let g = -0.96 + a. Let u = g - 2.04. What is the second biggest value in 0.5, 5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1264, -2\/15, 0.12?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51 * 0.1.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23647209*d**2*m**2 - 10*d*m**2 - d*m - 9*m + 4813 wrt d.\nAnswer: -47294418*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-8 - -2) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**3 + 9*t**3 + 3*t + 4*t**3 + 2. Let f = 2381 + -2374. Let a(u) = 5*u**3 + 2*u + 1. Calculate f*a(m) - 4*d(m).\nAnswer: -m**3 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91092519.\nAnswer: 3, 7, 59, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5940 - 2774 - 2526 = -1776*h - 472*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**5\/3 + 1772*a**4\/3 + 3532*a**3\/3 + 588*a**2 = 0 for a.\nAnswer: -441, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/6 + 1 + -2. Let r = 4 + 1. Let s be -2 + ((-36)\/(-20))\/1. Which is the closest to 0.1? (a) r (b) s (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*w - 108 = 0, 4*w - 87 = -2478*m + 2477*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = -0 - 24. Let v(l) = -4*l + 4. Let g be v(s). Solve 5*k + 4*i - 8 - g = 0, -i = -3*k - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 3*i. Let p(z) = z**2 + z. Let f(j) = 3*g(j) - 6*p(j). Solve f(a) = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68051873?\nAnswer: 137, 251, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -289928749.0000001 - -289928734. Let q = 15 + k. Round q to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9894*t - 84. Let s(c) = 989*c - 8. Let j(d) = -2*o(d) + 21*s(d). Let h(a) = a. What is h(j(y))?\nAnswer: 981*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54800946*t**4 - 77*t**2 - t - 1125?\nAnswer: 1315222704*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 + 13.05. Let n = 42889\/1906 + -2\/953. Let a = n + -23. What is the third smallest value in b, -0.1, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.042 rounded to 1 decimal place?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 628, 885, 1296, 1849, 2532, 3333, 4240, 5241?\n\"Answer: -2*q**3 + 89*q**2 + 4*q + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p - 976 = -2*v - 54*p, v + 4*p - 485 = 0. Let -209 + 385*r + 3*r**4 - v*r + 959 + 0*r**4 - 717*r - 51*r**3 + 315*r**2 = 0. What is r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 3:52 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-22))\/(196\/2695)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - dc3?\nAnswer: -dcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5 + 35*g - 14 - 8*g)*(-1 + 1 - 5*g).\nAnswer: -135*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -32*b + 2. Let c(r) = -r. Calculate l(c(i)).\nAnswer: 32*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence geh when three letters picked without replacement from {h: 1, j: 1, g: 1, e: 1, s: 2, o: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**3 + 463*t**2 + 2911*t + 313. Determine s(-6).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786*x + 13910 + 13681 = -837*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b. Suppose 3*r - 2*r - 12 = 0. Let z be (6\/4)\/((-9)\/r). List the prime factors of t(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5697993 less than 5698000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**8\/672 + a**7\/210 - 5*a**2. Find w such that y(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170706 by 3.\nAnswer: 56902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 3*p + 0*p - p + 0*p + (-6 + 0 + 4)*(-2*p + 15 - 15) + 1 - 2*p - 1 + (0*p - 2*p - p)*(-5 + 3 + 3) + 2*p + 0 + 0.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 311 - 175. Suppose 4*n + 5*p - 42 = 0, 0 = 773*n - 778*n + p + 38. Calculate the greatest common divisor of h and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**3 - w**2 + 17737*w + 592160 wrt w.\nAnswer: 6*w**2 - 2*w + 17737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 3*n**2 + 6*n**2. Let t(l) = 3*l**2. Give t(a(v)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 88416053951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 736029154 to the power of 1\/3, to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 16*w + 59. Let f be s(-12). Which is the second biggest value? (a) -1\/9 (b) f (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 12*t**2 - 12*t + 11. Let h be x(11). Suppose -q + 2 = -h. Differentiate -o - q + 8 - 2 with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.213 - -786101810?\nAnswer: 786101917.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruu when three letters picked without replacement from {m: 1, v: 3, u: 5, o: 6, r: 5}?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 135326 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346323, 692645, 1038967, 1385289, 1731611, 2077933?\nAnswer: 2424255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1016178, 1015832, 1015256, 1014450, 1013414, 1012148?\n\"Answer: -115*y**2 - y + 1016294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -25*v**8\/56 - 4*v**5 - 15*v**4\/2 + v**3\/2 + 16*v + 31. Find the third derivative of c(w) wrt w.\nAnswer: -3000*w**3 - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 59. Suppose p = f - 1. Suppose -230 = q - f*q. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, b: 1, j: 2, m: 1}. Give prob of picking 1 j and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - s + 0*s - 7 = 0, -3*g = 4*s - 6. Let i be (-2)\/4 + (-1)\/g. Let p be (-36)\/140 + 9\/(-15). Are i and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-14)\/i)*i\/(i*i\/(i*i\/(i**(-5\/6)*i)))*((i\/(i**(-3)*i))\/i)**(1\/36))**(3\/4))**(-5\/4) assuming i is positive.\nAnswer: i**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = -0*k. Suppose 0 = 3*p + 6, 4*f - 24 = k*p - 0*p. Suppose 0 = 4*n, 2*i + 15 = -5*n + 21. Solve 0 = y - m - f, -i*m - 17 = -y - 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -52. What is the highest common divisor of x and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255 and 29665.\nAnswer: 88995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -61*n - 1530. What is t(-2)?\nAnswer: -1408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26, -30, -34, -38, -42?\n\"Answer: -4*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/(-2*(-5)\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -421 - -425.04. Let k = u - 5.04. Which is greater: k or 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(3*4\/(-6)). Solve n + 1 = -m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13541? (a) 0.4 (b) 4 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 2*i**3\/15 - 4*i**2\/5 - 24*i\/5 + 39. Solve b(g) = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/30*(-5)\/(-2). Let z be 30\/(-70) + 1*t\/(-70). What is the third smallest value in z, 2\/9, -1\/33?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**3 + 4*k**3 + 6*k**2 + 5 - 14 - 6*k + k**2. Calculate the remainder when 30 is divided by m(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20777.666062 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/4781 and 8\/26637.\nAnswer: 186459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 164.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(14\/(-21)*81\/(-90)). Solve 3*x - y = 41 - 31, m*y - 14 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 19. Suppose k*q + 3*b - 132 = 0, 0 = -q - 3*b + 59 - 5. What is the greatest common factor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*s - 21, -3*s + 15 = 2*c - 0*s. Suppose -4*g + 7*m = 10*m - 17, -2*g + c*m - 5 = 0. Solve 3*x + w = -g*w + 30, 0 = 5*w - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220139?\nAnswer: 29, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 - 36*a + 681. Determine q(13).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.34 and -0.5?\nAnswer: 7.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*n - 50 = -6*n, 17 = z + n. Suppose 2*c + z = 10*c. Suppose 1161 = 7*p + c*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 10, 0*m + 5 = m - k. Suppose 5*n - 3*q - 1556 = m, 0*q - 1544 = -5*n - 3*q. Round n to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47180 + 7?\nAnswer: -47179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18905 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 28032 = -2*q. Factor -2*o**2 + 7*o**4 - 2*o**3 + 2308*o - q*o - 8 + 25*o**3 + 8*o**2.\nAnswer: (o - 1)*(o + 2)**2*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 7527 + 5353 = z, 0 = 2*z + 3*p - 25645. List the prime factors of z.\nAnswer: 2, 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 * 469\nAnswer: -15477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -14440 = -14440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by 14843.\nAnswer: 82\/14843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*o + 2*o. Let c = -4 + 7. What is the nearest to c in o, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4*m = -28, 381*d - 2*m - 66 = 750*d - 383*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 548841463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61923948 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.892 - 0.792. Sort 4\/3, -0.1, g, 9.\nAnswer: -0.1, g, 4\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*b. Let h be b + 1 - (-9 + 11). Let q = 6 + h. Solve -q*r - 9 = -10*r - 3*t, t = 3*r + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 5*o - 1. Let v(f) = f - 2. Let i be v(6). Suppose 5*x - i*x = 5. Suppose -2*t + 5*q - 14 + 2 = 0, x*q = 3*t + 8. Give h(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29792265 and 11208.\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -571*f + 242 + 594 + 552 - 246 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715.5781 hours in microseconds?\nAnswer: 2576081160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 321762 and 12923778.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 237*j + 8 = -239*j, -3*n + j = -5. Suppose -4*v = 5*u - 3*u - 48, 3 = v - 4*u. Calculate the least common multiple of v and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1874*a = 1567*a - 220224 for a.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z + 17*z - 6*z**3 - 24*z.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a - 7. Let t = a + 13. Solve 2*q + 2 = -2*w - t, -2*w - 13 = -3*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 12*b + 15. Let u be s(14). Let d = 11 + u. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -7*p - 3, -5*p - 21 = -3*d. Suppose w + f = d, -w + 3*f = f - 2. Solve -2 - 2 = 2*m, 3*m = w*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -656 + -4?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + g + 8 + 25 = w, 0 = -5*g + w - 26 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 3. Let f be t(3). Let v = f + 2. Suppose -5*a - v = -22. What is the remainder when 6 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 36*f. Let c(l) = -4*l - l - 2 - 2 - 4. Let m(j) = -3*j - 5. Let o(r) = -5*c(r) + 8*m(r). Calculate a(o(x)).\nAnswer: 36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4 + 50*b**2 - 51*b**2 - 31*b + 31*b. Let x(k) be the third derivative of -k**5\/60 + 5*k**3\/6 + 6*k**2. Give -5*v(s) + 4*x(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -3114 in descending order.\nAnswer: 3, -3, -3114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from dnnddqddqddn.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20932 - 20927. Let j be (2\/(-62))\/(-4 + 3). Sort h, -4, 0.4, j in ascending order.\nAnswer: -4, j, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/2*8\/12. Suppose -3*g + 0 = -x. Calculate the remainder when 2 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162526847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 205*b**2 - 1229*b - 2. Give m(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.7 + 19.7. Let s = -0.5 - -1. What is the nearest to 0 in 1\/3, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12505 is divided by 90.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/11 (b) 959 (c) 0.6836 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 4*p - 7. Let t be q(-5). Let c(b) = 3*b - 26. Let k(l) = -l + 1. Let j(f) = t*k(f) - c(f). Let z be j(9). Solve -z = 4*d - 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2. Let b(c) = 2*c - 143. Calculate x(b(f)).\nAnswer: 12*f**2 - 1716*f + 61347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -10. Suppose g = -5*z - 685, -z = 4*z - 2*g + 700. Let a be 2\/(5 - z\/(-28)). Solve 4*m = 4*f + a, -6 + 2 = -t*m - 4*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/5)\/(4\/20). What is the greatest common divisor of l and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 147*y**4\/4 - 226677*y**3\/4 + 4479*y**2\/4 + 226677*y\/4 - 2313\/2 = 0.\nAnswer: -1, 1\/49, 1, 1542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 189812, 379215, 568616, 758015, 947412, 1136807?\n\"Answer: -w**2 + 189406*w + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 2. Let v(o) = o**2 - 6*o + 2. Let m be v(g). Solve -8 = 2*r + 2*k, m = -0*r - 2*r + 4*k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1342 + 1341.99998511. What is v rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60594751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 4*g + 9. Let f be o(-10). Is (f\/4)\/(6\/16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1000)\/(-6)*((-4)\/(-4) - -455). What is y rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 + (122 + 44 + -138 - (1 - -21)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-144)\/(-32))\/(-9))\/((-1)\/(-1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -29*g. Let r(a) = -163 - 18*a**2 + 542 - 180 - 199. Give n(r(l)).\nAnswer: 522*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.211759573 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -3968956.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 4*p + 5108 - 5051, -271*p + 5*b = 2193 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q - o - 4606 = 0, o + 6 = 0. Calculate the highest common factor of q and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11188110 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 528 = -26*z. Suppose 19504 - 4720 = z*f. Does 53 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124011 is divided by 122708.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2150 and 10600.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/35)*f*f)\/f**(-4\/5))**(4\/39) assuming f is positive.\nAnswer: f**(80\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12032461?\nAnswer: 7, 1718923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.278905, -7, -5\/3 in ascending order.\nAnswer: -7, -5\/3, 0.278905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183096*c**2*f**3 + 452982*c**2*f - 6*f**3 + f**2 wrt f?\nAnswer: 1098576*c**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113 - -113. Which is greater: z or 5\/12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 4000?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1689, 1693, 1699, 1707?\nAnswer: 1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 456 and 66?\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 140*u - 574 - 2144 + 478 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 258*i**2 - 1006*i + 750.\nAnswer: -2*(i - 125)*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 2. Let d be o(-2). Suppose -2*w - 2*n = -4, -4*w + 2*n = -d*w - 14. Let t be (-230)\/(-184) - (-3)\/(-10 + -2). Solve t = w*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 5*k**2 + 14*k - 10. Let i be g(4). Suppose r = -14*r + i. Solve -2*m = r*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 373 - -18282?\nAnswer: 18665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 127651215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76205122.\nAnswer: 2, 7, 83, 65581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1292 + -590. Let b = 702.536 - n. Round b to 2 decimal places.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Suppose -a = -x*a + 20. Suppose -15 - a = -5*q. Solve -4*h - 3*s = -7, -3*h + 3*s = q*s - 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 2*o + 3*o)*(-9*o + 9*o + 2*o**3) + (-3*o**2 + 6*o**2 - 2*o**2)*(5*o**2 - o**2 - 5*o**2).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and 8792?\nAnswer: 8804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -1061231257 in descending order.\nAnswer: 3, 1, -1061231257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338044.369936 - 0.3.\nAnswer: -338044.669936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8030442 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d*v**4 - 90029*d*v**3 + 206*d*v**2 - v**4 - v**3 - v**2 + 48686 wrt v?\nAnswer: -72*d*v - 540174*d - 24*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 90 = -78. Suppose -3*n + d*l - 15 = -50, 3*n - 10 = -l. Solve x + 17 = n*u, -u + 2*u - 5 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*j + 0 + 0 + 13*j.\nAnswer: 66*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 27 = -b, 4*b - 39 + 12 = -g - b for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 12:23 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 5 (c) 796\/11 (d) 2\/3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 3. Suppose -3*w - 8 = 1. Let f be q(w). Suppose 2*g + f*r - 17 = -6, 0 = -5*r - 15. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 2:03 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 11 = 5. Suppose u*h = 55 + 33. Let i(j) = -j**2 + 6*j + 5. Let w be i(6). Solve -n = -w*d - 25, 1 - h = 4*d - n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 3. Let h(t) = -3*t + 6. Let j(v) = v**2 - 41*v + 290. Let c be j(9). Calculate c*h(s) - 5*r(s).\nAnswer: 4*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68966, -69113, -69260, -69407, -69554?\nAnswer: -69701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7136214 and 3?\nAnswer: 7136214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 12133005069.\nAnswer: 12133005068.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.9 + 193.9. Let g = u - 189.99821. What is g rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8e1973 + 12?\nAnswer: 8e1985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 5. List the prime factors of v(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6163 + 1876. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16 + 10)*(-58)\/4. Suppose 5*h - 26 = -3*m - 1, 4*m + 3*h = 15. Suppose m = -4*t + 305 + q. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 12:26 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2669*b**4 + 4*b**3 - 33*b + 7. Let u(r) = -2669*r**4 + 5*r**3 - 33*r + 10. Let l(y) = -4*u(y) + 5*x(y). Find the second derivative of l(k) wrt k.\nAnswer: -32028*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 1 - 5)*1. Suppose b*o - k = 5*o - 460, 5*o - 480 = 3*k. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 65?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22814818 is divided by 315?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 420872503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 344618.1 kilometers?\nAnswer: 344618100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1600631705 to the nearest integer?\nAnswer: 40008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 373*x**2 - 6*x - 15. Let j(g) = 746*g**2 - 11*g - 29. Let c(k) = -11*f(k) + 6*j(k). Let s be c(7). Let n = 9768 - s. Round n to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5\/d*d)**38*(d*d*d**(-2\/13))**(-8) assuming d is positive.\nAnswer: d**(2278\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 5*u - 5. Let o be w(-5). Suppose 0 = 12*y - 7*y - o. Calculate the greatest common divisor of 20 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 12*g - 63. Let u be a(-4). Solve 0 = 30*d + 1 - u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 319514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(3\/5)*v))\/v**(-3\/8))\/(v\/(v*v\/(v\/v**(-1\/7))*v)*v**(-5)*v))\/((v**(-2))**3*(v**0*v)**(-5\/9)) assuming v is positive.\nAnswer: v**(25673\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3107, 12440, 27999, 49784, 77795, 112032, 152495?\nAnswer: 199184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-812)\/(-4466))\/(1\/3*6).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppx when three letters picked without replacement from xxxpxxxxxp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*u - 157*u**2 - 9 - 5*u + 106*u**2 wrt u?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 0.32, -339 in descending order.\nAnswer: 0.32, -23, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + 11 + 7 + -16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 995940?\nAnswer: 2, 3, 5, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34508242.\nAnswer: 2, 2473, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 4*c + 1. Suppose -i = d + 3, 4*i - 2*d = -i - 50. Does 11 divide p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1227750 and -62\/27?\nAnswer: 11049750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2415, -5221, -8407, -11967, -15895, -20185?\n\"Answer: a**3 - 196*a**2 - 2225*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2 + 16*r + 29. Calculate the remainder when 56 is divided by a(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135.6 + -132.6. Sort -0.1, -72, o, -0.5 in decreasing order.\nAnswer: o, -0.1, -0.5, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40057812 divided by -69\nAnswer: 580548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10 and 65\/15686932.\nAnswer: 78434660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 8, 1\/3 in descending order.\nAnswer: 8, 1\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/3)\/(33\/3))\/((2236\/(-78))\/(-43))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(198)*2 + sqrt(198) - sqrt(198))*-1)\/(((sqrt(77) - (sqrt(77)*-2 - sqrt(77)))*6)\/sqrt(7)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124157, 124073, 123989, 123905?\nAnswer: 123821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 1.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 81633 to the power of 1\/2, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 176*v + 7177. What is w(-64)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(567) + -1*(-2*sqrt(567) - sqrt(567)))**2 - (sqrt(140)*1)\/sqrt(5)).\nAnswer: -9072 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*b + 21 = 0, 9*w + 45 = 4*w - 5*b. Let q(a) = a**2 + 12*a + 10. Let c be q(w). Is c >= -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2429.2655 rounded to the nearest 10?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 280\/21 + (-13)\/39?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*d = -214, 3*a - 4*d = -39 + 277. Suppose -237 = -5*t + 2*b + b, -4*t - 4*b + 164 = 0. Let n = a - t. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6148.88987 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -71588 rounded to the nearest 1000?\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 653566750 to the power of 1\/2, to the nearest integer?\nAnswer: 25565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 13 = -j. Let v(z) = -2*z + 5. Calculate v(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25043373.\nAnswer: 3, 2782597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:06 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 1.9 (c) -1\/6 (d) -12\/13 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27193?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = b - 21. Let o = 9 - 5. Suppose -o*m - 6 - 2 = 0. Put m, b, -1 in decreasing order.\nAnswer: -1, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 0.0371\nAnswer: -0.2629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3 - 13674*h**2 + 3*h + 91813 wrt h.\nAnswer: -3*h**2 - 27348*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369845207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18 + 11 + 6 - 24 - 11*i**2 wrt i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 - 86 + 217)*(0 - 1 - 1)*(3*d + 4*d - d) + 5*d + d + d.\nAnswer: -245*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 16.1. Let c = 5 - 9. Let u = 10169\/7 - 1453. What is the smallest value in i, c, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2879, 2885, 2895, 2909?\n\"Answer: 2*y**2 + 2877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 + 18*c + 36. Determine w(-3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 6:27 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (9\/108*-38*-8)\/(124\/(-279)*-1)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 166947 = -2*b - 3*k, -3*b + 3*k = 166977. Let f be (-75)\/(-9) + -8 - b\/(-108). Let c = -515 - f. Are -1 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -25*k**2 - 12*k + 13. Let z(a) = -16*a**2 - 8*a + 12. Let s(r) = 2*u(r) - 3*z(r). Let v(n) = -105*n. Calculate v(s(o)).\nAnswer: 210*o**2 + 1050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48500 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 342*l - 136. What is the remainder when a(2) is divided by 111?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193273547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5653.657 millennia in years?\nAnswer: 5653657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*z**2 - 19 - 33 + 4 + 22*z**2 in the form m*z + f + j*z**2 and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.077 - 0.132. Let s = z + -0.045. What is the nearest to -1\/2 in 3\/7, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjy when three letters picked without replacement from {j: 12, d: 2, y: 5}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**5 + 43*x**4 - 1166*x**3 - 539*x + 4683 wrt x.\nAnswer: -20*x**3 + 516*x**2 - 6996*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(180) + -2)**2.\nAnswer: -24*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/4, 1\/149, 1, -14 in decreasing order.\nAnswer: 5, 1, 1\/149, -1\/4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, -1, -3, 20 in descending order.\nAnswer: 20, -1, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -861, 2\/333, 3?\nAnswer: 2\/333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 26099\/34255?\nAnswer: 26099\/34255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*v**6 - 1114733*v**5 + 9762*v**2 - 5924*v + 3.\nAnswer: 2400*v**3 - 66883980*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5553 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1251 - 2630 - 8*r**2 + 6*r + 1374 + r**3 in the form y*r + a*r**2 + f + t*r**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41403616 = -3*a - 6873616. Round a to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v + 33. What is the remainder when 207 is divided by h(1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 5\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-89)\/(-2) - 1\/14*7. Let t be c\/165*-1*(-10)\/4. What is the closest to t in -0.8, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1821, 1834, 1847, 1860, 1873, 1886?\nAnswer: 1899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76192074.\nAnswer: 2, 3, 7, 604699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1844858*i**3 + 107*i**2 - i - 147 wrt i.\nAnswer: -11069148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 912, 1819, 2722, 3621, 4516?\nAnswer: 5407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = 14. Suppose 5*u - 5*s = -35, -5*u + 4*s - 14 - 23 = 0. Let n = -8 - u. What is the greatest common divisor of b and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29441959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*p = 733, -3*p = x + p - 735. Suppose -4*r + j = -1513, -2*r + x = 21*j - 26*j. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/4 and -111\/322.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = n + 155, 16*w - 7039 + 7247 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6331 + -1.0318. What is l rounded to two dps?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k - m = 48, -k + 31 = -5*m. Let l be k\/(-4) - (10 + -13). Let n = -0.2 + -0.8. Which is the nearest to n? (a) l (b) 3\/2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71728*j - 19121*j - 754215*j.\nAnswer: -845064*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.1 + 6. Let o = z - -4.1. What is the second biggest value in 2, o, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 437900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04 and -398.4.\nAnswer: -398.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -29.1613 (c) -134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/9, 0.07, -1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2628946 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 13*h**2 - 10*h - 2. Suppose 0 = -u + 11 - 14. Let g be (u*1)\/((-2)\/8). What is the tens digit of p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1365*p - 993*p + 1.\nAnswer: 372*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*x + 2*s - 3, 4*s = x + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.24 (b) 0.5 (c) 3 (d) -2\/11 (e) -2 (f) -5205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1207*o + 21764. Calculate v(18).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l**2 + 4*l + 78. Is u(9) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 51 - 51 = 0. What is the biggest value in -11\/5, 4, b, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -4464?\nAnswer: -4460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1186 - 0.0486. Let j = 32\/5 + -293\/45. What is the biggest value in 0.3, h, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 24. Suppose y = 2*u, -r - 5 = -u + 1. What is the tens digit of (r\/(-3))\/5*66?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1577*p - 20536. Give q(-13).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**5\/60 + f**4\/24 + f**2 + 6. Let s(b) = -21*b**3 + 15*b**2 + 15*b. Give -15*k(p) + s(p).\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.088828 and -1.\nAnswer: -0.911172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**5\/3 - 25*f**4\/2 + 179*f**3\/6 + 260*f**2 - 200*f\/3 = 0.\nAnswer: -20, -4, 0, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i - 5, -4*v + 36 = -4*i. Suppose -3*s + 1 - 6 = -2*p, -35 = -5*p + 3*s. Suppose -2*c - p = -3*c. Solve 5*b = -v - c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 1216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/7))\/g**(3\/2)*g*g**(1\/8)*g*g**4*g*g*((g*g*g**0*g)**23)**(6\/23) assuming g is positive.\nAnswer: g**(1451\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 + 11*j**2 + 4*j + 10. Let k(p) = 3*p**3 - 21*p**2 - 7*p - 19. Let h(n) = 3*k(n) + 5*y(n). Let q = -62 + 39. Let m be q\/3 - 2\/6. What is h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 3*q - 4*u + 291, -52*u = -4*q - 15*u - 2208 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 - 1. Let a = 10.7 - 76.7. Let f = -62 - a. What is the third biggest value in f, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1912927, -1912925, -1912923?\n\"Answer: 2*f - 1912929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.22 - -1.78. Let t = 3\/433 + -887\/3031. Sort t, -2\/9, d in decreasing order.\nAnswer: d, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 572620 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.043 + 57867.17473\nAnswer: 57865.13173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 10*v - 7. Let x be (-4 - 3*(9 - 14)) + -2. Calculate c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(-136 - t + 136)*(-10 - t + 25 - 19) to the form g + c*t**2 + x*t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58243*x - 58306*x - 1008 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from snsqdsssssdqsdnsq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6092 is divided by 249.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 5*a - 20 = -9*i, 0 = -3*i + 3*a - 12. Suppose -4 = -t - t. Solve -p - t = -i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57, -166, -381, -756, -1345, -2202?\n\"Answer: -9*m**3 + m**2 - 49*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*d + 2*d + 4*d)*(0*d - 6*d + 4*d) + 3*d**2 - 5*d**2 - 4*d**2)*(d - 12*d + 4*d) as t*d**2 + r + o*d**3 + x*d and give o.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 4*q**2 + q + 4. Let a be v(-4). Let g(i) = i**2 + 2. Calculate g(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8 + 3*i + 17*i - 19 - 9*i wrt i?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 - 2*x**2 + 0*x**2)*(-170*x + 8 + 84*x + 85*x).\nAnswer: -2*x**3 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 6 - 31 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 328\/(-32)) + (-3)\/12. Let h(a) = 36*a - 6. Let y(v) = -71*v + 11. Let w(p) = l*y(p) + 11*h(p). Let f(m) = -4*m**2. Calculate f(w(u)).\nAnswer: -3600*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2369996.\nAnswer: 2, 29, 20431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (1 + 0) - (-14 + 16)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158 + -94. Suppose 5*q - i = 4*q. What is the remainder when q is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 6 + -11 + -7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 - f - 6*f**2 + 3*f**2 + 0*f**2. Let l(a) = 2*a**2 + 12*a + 14. Let v(c) = 3*g(c) - l(c). What is the lowest common multiple of v(16) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 4. Suppose -4 + 14 = l*w. Suppose 4*j - w = 2*c, 13 = 5*j + 2*c - 3. Solve k = -k - j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*j*s**2 - j*s - 48*j - 2*s**2 + 3*s wrt s.\nAnswer: 66*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64451.3 micrometers to meters.\nAnswer: 0.0644513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 2 - (1 - -2). Let y(v) = -v**3 - v**2 + v + 6. Let r be y(h). Suppose j + j - r = 0. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52670709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*v + 342*v + 9225 = 0 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1069 divided by -54.\nAnswer: -1069\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-1\/8)*r*r**(-4\/9)*r*r)**(-27))**29 assuming r is positive.\nAnswer: r**(-27753\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000647 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*j - 11 = o, 0 = -4*j + 12. Suppose -3*g + 403 - 1220 = -5*k, -4*k - o*g = -624. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -2 (c) 47 (d) -0.6 (e) -0.9 (f) 173 (g) 1\/6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 26*f = -84 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119 - 11*y + 117 + 0*y to the form g*y + i and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.99 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-110)\/(-165) + 2\/(-12))\/(2\/20). Let h = 0.075 + -18.075. Sort -1\/5, t, h in decreasing order.\nAnswer: t, -1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7525\/45 - 8\/(-72)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**3 - 92*q**2 - 11*q**4 + 17*q**2 - 3 + 73*q**2 - 3*q in the form o*q**3 + s*q + w + p*q**4 + y*q**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 115 - 77. Let l = q - 30. Let n be 0 - 1 - (1 - (0 + l)). Solve n = -w - t + 6, -5*t + 18 = 4*w - 3*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -25. Let p = 8 + h. Let q be ((-5)\/p)\/((-4)\/(-80)). What is the greatest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 - 54. Let i(f) = -n + 73 - f - 40. Determine i(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/41)\/f**(1\/10))**(-12\/7) assuming f is positive.\nAnswer: f**(18\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -219*v**4\/8 + 25563*v**3\/8 + 1755*v**2\/2 = 0.\nAnswer: -20\/73, 0, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 164*m**4 - 9 - 1 + 3*m - 163*m**4 to the form g*m + q + k*m**2 + l*m**4 + y*m**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/5, 2, 4, 15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.079868+13\nAnswer: 12.920132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 6*l - 20, 22 = 2*a - 4*l. Suppose j + a = 4. Let s = -3153 - -3155. Solve j*d + 1 = -s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10306 + -1 + 16\/4. Let q = f + 6803. What is q rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 - 2*o + 1. Let q be d(1). Suppose -q = k + 2. Let u be 559\/215*-5 + 2. Put u, k, -3 in ascending order.\nAnswer: u, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 200, 201, 198, 191, 180?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 111212022 (base 3) to base 12\nAnswer: 5a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4421751, -4421752, -4421753, -4421754, -4421755?\nAnswer: -4421756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3940 and 17\/96530.\nAnswer: 193060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q**(2\/3)\/q)\/q)\/((((q*(q\/q**(1\/19))\/q)\/q)\/q)\/q))**(-1\/23))**22)**(-41) assuming q is positive.\nAnswer: q**(36982\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.46617 + 2.449. Let d = b + 0.017. What is d rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 25364442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5183 and 7526?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -329*j**3 + 330*j**3 - j**2 - 1 - 2*j**2 + 6*j + 0. What is the units digit of r(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62.41 - -66. Round u to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 17 = 5*r, 2*s = r + 7*s + 14. Let b(l) = l - r - 1 + 2. Let w(a) = -15*a + 15*a - a**2. What is b(w(q))?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1407)\/(-140)*(-16)\/66 - -3 and -3\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 18*g**2 - 40*g + 8. Calculate y(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*h = -4*h - 4*h - 962 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvjjjjjj. Give prob of picking 1 v and 1 j.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 7524*d**2 - 22600*d + 15072.\nAnswer: 4*(d - 2)*(d - 1)*(d + 1884)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from gakkkkkkggkgkgg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = 12. Let q(k) = -k**2 + 10*k. Let i be q(10). Solve i = -x*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 52*v - 12 = 46*v, -99*v = -5*h - 100*v + 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 183911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 12823005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -436 equal to -4658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669 (base 13) in base 2?\nAnswer: 110011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8504 + -8472. Solve -32*p = 26*p + a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-8)*18*6. Let w be h - (2 + 0 - 2). What is the second derivative of w - 3*j + 22*j**3 - 135 wrt j?\nAnswer: 132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -17*h. Let j(k) = -k**3 + 2*k**2 + 4*k - 1. Let p be j(3). Let z(u) = -u + p*u - 4*u. Determine z(v(o)).\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + (sqrt(300)*2)\/sqrt(5))\/(sqrt(12) - sqrt(24)\/sqrt(2)*-3) - (4 + (sqrt(5) - sqrt(25)\/sqrt(5)) + 5*-3*sqrt(5))**2)*3.\nAnswer: -3423 + 1449*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 163. Let m = 187 + h. Suppose -3*f = f - m. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**(19\/4)\/(z**(5\/3)\/(z\/(z*z*z*z\/(z*z**(-2\/5))*z))) assuming z is positive.\nAnswer: z**(-247\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 7. What is r(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 655899 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -34908074.2+107\nAnswer: -34907967.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1054601*-0.3\nAnswer: -0.03163803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20344545 (base 6) to base 9.\nAnswer: 1087522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 2*s**2 + 3*s - 4. List the prime factors of k(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzcs when four letters picked without replacement from scnssvvvcsvxscvvnxzn?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -9*s + 11. Let k(n) = -195 + 97 + 115 - 13*n. Give 8*a(y) - 5*k(y).\nAnswer: -7*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6281a (base 14) to base 9.\nAnswer: 401803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 2*t + 4. Let c be s(0). Sort -6\/5, 1, 0.4, c in decreasing order.\nAnswer: c, 1, 0.4, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, t: 1, u: 3, f: 4}. Give prob of sequence fuu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 + 1. Let l = 2.0928 - 0.0928. Which is the nearest to l? (a) -2 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*w + 16*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1872*o + 14212 = -638*o - 81168 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106472095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106319, 425623, 957797, 1702841, 2660755?\nAnswer: 3831539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (0 + -1)*-30. Let p = h + 11. Which is smaller: p or -58\/3?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 2, v: 1, x: 3, g: 1, c: 5}. What is prob of sequence ev?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54948276 to the nearest integer?\nAnswer: 7413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3)\/b)\/b*b*b*b*b\/(b*(b*(b\/b**(-16))\/b)\/b)*b)**(-47) assuming b is positive.\nAnswer: b**799","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 223, 4005, -1, 5 in descending order.\nAnswer: 4005, 223, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**5 + 46*j**3 + 220*j**2.\nAnswer: 120*j**2 + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/10 (b) -0.4 (c) 0.0313 (d) 38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 2. Let l = -7 + k. Solve l = 5*f - 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2016.1269589 and 0.79.\nAnswer: 2016.9169589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwc when three letters picked without replacement from wwwecwcjweew?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -650.3 times -0.676?\nAnswer: 439.6028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 415 + -389. Let q(p) = -p**3 + 27*p**2 - 28*p + 68. Let k be q(m). Solve 4*d = 3*t - 4, 2*d + 2*t - k = -t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.948606 grams in micrograms?\nAnswer: 5948606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-11\/4)\/m)\/m**(-1))\/((m**(1\/3)\/m)\/((m*m\/m**(-3))\/m)))**(-29) assuming m is positive.\nAnswer: m**(-667\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2624 times -1?\nAnswer: 2624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-3)\/12*2*27626\/727?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -50670\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 39 - 51 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Let j(s) = -14*s**2 + 143*s + 58. Let w(c) = -12*c**2 + 142*c + 49. Let y(r) = 5*j(r) - 6*w(r). What is m(y(f))?\nAnswer: 2*f**2 - 137*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 22, 18, -3 in decreasing order.\nAnswer: 22, 18, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 853933 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**2\/2 + d + 15. Give x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*i**3 + 228*i**2 - 328*i\/7 + 16\/7 = 0 for i.\nAnswer: -2, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 1. Let p(s) = -20*s + 20. Let n(o) = -36*c(o) - 2*p(o). Determine n(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2497 is divided by 166?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -29 + 13. Let f = b + 6. Let i be (1 + -6)\/((-20)\/(-48)*-3). Solve -i*l + 2 = -f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -2995804?\nAnswer: 2995798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**7\/5040 - y**6\/540 + y**5\/180 - 13*y**3\/6 + 15*y. Let t(r) be the second derivative of b(r). Factor t(v).\nAnswer: v*(v - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15\/22 - 321\/374. Let v = m - -29\/68. Let j be (-6)\/(-9) - (1 - 16\/(-60)). What is the closest to v in j, -2\/3, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1301, -10630, -35971, -85334, -166729, -288166?\n\"Answer: -1335*c**3 + 4*c**2 + 4*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2049 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y + 5371308. Let i(o) = 2*o. What is j(i(w))?\nAnswer: -14*w + 5371308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -16020*o**2 + 175*o + 25. Let z(w) = 1335*w**2 - 14*w - 2. Calculate -6*c(a) - 75*z(a).\nAnswer: -4005*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38294.\nAnswer: 2, 41, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7 - -0.3. Let p be (-1 + 6)*(-12)\/60. Let d be 1 + (-2)\/(-3)*p. Which is the nearest to d? (a) m (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2333037750?\nAnswer: 2, 3, 5, 3110717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7563 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10854325\/859 - -12636. Let s be 301529\/17180 - 4\/(-20). Let f = s + z. What is the common denominator of -1\/6 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 105*f + 358. Suppose -5*l - 17 = 5*p - 2, -4*l - 10 = 5*p. Calculate the remainder when p - (26 + 2)*-2 is divided by k(-49).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 19*n = -128. Let z be (-3968)\/(-5) + 2 + n\/5. Suppose z = 2*j + 4*i, -j - i = -4*j + 1226. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 32*s - 38. Let d be f(-21). Let j(k) = d*k - 193*k - k**2. Let n(c) = -c**2 + 41. Calculate j(n(a)).\nAnswer: -a**4 + 82*a**2 - 1681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3401, -3365, -3327, -3287, -3245?\nAnswer: -3201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*(-23859)\/1446.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 4*f**2 - 3*f - 3. Suppose -31*p - 4 = -34*p - 2*y, 0 = -5*p - y + 16. Give r(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153\/41972 or 1?\nAnswer: -153\/41972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39.08 - -42. Let y = c + -3. Let m = y - -0.38. What is the smallest value in m, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 767997946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27064, 27063, 27062, 27061?\nAnswer: 27060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(468) - (sqrt(468) + sqrt(468) + -1)) + -5 - (sqrt(468) + 0 + 5)) + 5)**2.\nAnswer: 96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 + 58*p\/7 + 8.\nAnswer: 2*(p + 1)*(p + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -174, 37, 5 in descending order.\nAnswer: 37, 5, -3, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111324 (base 5) in base 12?\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**3 - 4248*s**2 + 1528956*s - 17740944 = 0.\nAnswer: 12, 702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 550\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1515*j**2 + 611*j**2 + 2640*j**2 - 1469*j**2 + 2297*j**2.\nAnswer: 5594*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 + 5)*(-s + 0*s + 3*s) - s + 0*s + 5*s - s - 2*s + 4*s in the form z*s + i and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.19952 + 9.28. Round g to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**3\/6 + 475*s. Let k(l) be the third derivative of -5*l**4\/24 - 2*l**2. Calculate w(k(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(80\/92) + -4. Suppose 7 = -2*s + 13. Suppose s*v - 4 = -1. Is u equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298421*r + 298341*r - 2320 = 0 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98887362*m**2 + 2994944*m + 4 wrt m.\nAnswer: 197774724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/378*3\/2. Let l(x) be the first derivative of -3 + 0*x**3 + z*x**6 - 4\/15*x**5 + 1\/6*x**4 + 0*x + 0*x**2. Solve l(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28598*h**4 + 3*h**3 + 146*h + 1303503886?\nAnswer: 114392*h**3 + 9*h**2 + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104396 (base 12) to base 8.\nAnswer: -764442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7191 and 42379759?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3371*m**3 - 1515*m**3 + 1717*m**3 + 2593*m**3.\nAnswer: 6166*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/(-8)*-1*(-232)\/319. Let y(x) = 3*x - 5*x**3 + 5*x**2 - 2*x**3 - 3 + 6*x**3. Let a be y(w). Solve 2*g - 13 = 4*g - 3*u, 0 = 5*g - 5*u + a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*9\/(-135)*10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 9. Suppose 0 = 3*y - 2*y - d. Sort y, 4, 3, 5.\nAnswer: 3, 4, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/23 - -28\/115. Which is the closest to 0.1? (a) 0.1 (b) v (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.5 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 10*c + 21, -35*p = -36*p - 5*c + 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p**2 - p - 3. Suppose 0 = 7*m + 39*m - 138. Let i(a) = -14*a**2 - 2*a - 7. What is m*i(r) - 7*z(r)?\nAnswer: 7*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*j - 24. Solve 2*d**2 + 8*d**4 - 16*d**2 - 9*d**4 + 2*d**2 - 3*d**4 - 16*d**j = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h**(2\/5)\/h)\/h)\/h)*h*h**(-2\/11)\/h)**47)**27 assuming h is positive.\nAnswer: h**(238572\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 9. Calculate the remainder when (4 + -2)*6 + 0 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, e: 3}. What is prob of sequence eze?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*l**3 - 31*l**3 + 13*l - 2 - 21*l**2 - 11*l + 2*l**4 - 26*l**3 to the form a*l**3 + q*l + u*l**2 + x + c*l**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 32\/7)*2\/(-4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 2*f**3\/3 + 30. Let z(j) = -46*j. Give g(z(w)).\nAnswer: 4232*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-830)\/4)\/((-41)\/82). Suppose 5*b + 4*j = 2635, -3*j - 1996 + t = -3*b. List the prime factors of b.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 283656801 divided by 1\nAnswer: 283656801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5511578 centuries in years?\nAnswer: 55.11578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72143\/12824 - 1\/1603. Find the common denominator of t and 67\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*w = -2, 2*s = -0*s - 4*w + 14. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - f**2 + 4. Let q be a(0). Suppose -3 - 57 = -q*l. Solve 6*m = m + l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81\/11 + 1451\/330. Calculate the common denominator of n and -59\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44.402 + -45.3. Let h = w + 0.9. Round h to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 11*c - 4*c. Put c, -13, -2 in decreasing order.\nAnswer: -2, c, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/410 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) + sqrt(64)*3)\/sqrt(4)*-1)\/(sqrt(64)\/(sqrt(8) + sqrt(2))) + -3.\nAnswer: -6*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 192\/905 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b = -15*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6891*k + 17181 = -5738*k + 52924 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5470064734 to the power of 1\/4, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3635699, 14542819, 32721359, 58171319?\nAnswer: 90892699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 5*f - 10. Let u be v(3). Let z(n) = -2*n**2 - 6*n + 5. Let d(j) = -3*j**2 - 10*j + 4. Let r(g) = 3*d(g) - 4*z(g). Calculate r(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4686 + -0.859. Let i = y + -0.609595943. What is i rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 3) + -1*(-1 - -3). Let f be 7\/2 - (-9)\/m. What is the third derivative of 12*a**2 - 17*a**5 + a**f + 5*a**5 wrt a?\nAnswer: -720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 4*c**2 + 3*c**2)*(1 - 2 - 2)*(-1 - 1 + 4) + (-6 - 4*c**2 + 6)*(-1 + 1 + 2).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3*r - 4*r)*(r**4 + r**4 - r**4) - 54*r**5 + 3*r**5 - 19*r**5 + (-38 + 17*r**5 + 38)*(4 - 1 + 2).\nAnswer: 13*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -17*z**4\/6 + 2*z + 95. Let n(x) = -6*x - 5. Let f(p) = -18*p - 16. Let l(u) = 5*f(u) - 16*n(u). Calculate w(l(q)).\nAnswer: -1224*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*d + 654, -5*g + 4*d + 0*d = 813. Let l = g - -1157\/7. Suppose -v = 4*r + 8 - 3, 3*v = 5*r - 15. Sort r, l, 3 in descending order.\nAnswer: 3, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-5 + 5 + sqrt(34)\/sqrt(2) + -5)**2 - ((sqrt(34)\/sqrt(18) - sqrt(17))**2 - sqrt(1700)*-1)).\nAnswer: -20*sqrt(17) + 355\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 13*q**6\/30 + q**4\/2 + 18*q. What is the third derivative of h(b) wrt b?\nAnswer: 312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 2 + v)*(23 - 17 + 16) to b + h*v and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 625178162 to the power of 1\/4, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 44550.\nAnswer: 356400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12205 is divided by 1111?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (5 + -11)\/(-6). Suppose -w + 397 = d + u*d, 2*d + 402 = w. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 8 = -d, 2*d - 193*r + 402*r - 210*r + 11 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 149368530659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -24*k**2. Let a(o) = -40*o + 22. Let m(b) = -37*b + 33. Let r(g) = -3*a(g) + 2*m(g). Calculate y(r(u)).\nAnswer: -50784*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126589349, 253178695, 379768041, 506357387, 632946733?\nAnswer: 759536079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 2. Calculate the remainder when 10 is divided by c(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.077 and 0.06215?\nAnswer: 0.13915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 221022147 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5599 is divided by 2759?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*g + 130 = 0, -4*z - 5*g + 220 = -85. What is the highest common factor of z and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9757914 - 4807916. Suppose 0 = -5*p + 2*k - 2004135 - 2945869, 0 = 5*p + k + n. Round p to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, -26, -45, -70, -101, -138?\n\"Answer: -3*t**2 - 4*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 13 = -5*o + 17, -5*v + 2 = -2*o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*(u\/(u*u\/(u*u*u**6*u*u)*u))\/u*u))\/u)\/u**(-1\/3))**(-25)\/(u*u**(4\/5)*u**(-3\/2)*u**5\/u*u*u*u*u**(-9)\/u) assuming u is positive.\nAnswer: u**(6581\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 423 + -5. Is 38 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 9:40 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 6*v + 10. Let w(g) = 3*g + 2*g**v - 1 - 3*g. Let b be w(-1). What is the highest common divisor of b and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 times -194\nAnswer: 310.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19901 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 8*m - 260. Let y = -60 + m. Let n = -5 - y. Solve -j + n + 1 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15*(-14)\/(-21))\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4250 and 129500500?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 26 = -5*q, -q - 3*w + 0 = -22. What is the highest common factor of 563 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 57b939?\nAnswer: -57b936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(29\/87 - 7\/12). Which is the fourth biggest value? (a) 0.4 (b) l (c) 0.2 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 4*b - 4*b)*(8*b + 5*b**2 - 3*b**2 + 3*b**3 - 6*b).\nAnswer: 6*b**4 + 4*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -338\/5 - -68. What is the nearest to n in -0.5, -4\/5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 1. Let o = 120 - 111. Suppose o = 2*b + 3*n, -6*b + n - 14 = -3*b. Calculate g(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9455, -9454, -9453, -9452, -9451?\nAnswer: -9450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x = -25*x - 318. What are the prime factors of x?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/3 + (-4)\/(-12). Let s = 1 - -3. Suppose m = -0*m + s. Solve -m + 29 = -f*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -7103792455284?\nAnswer: 7103792455289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3914 less than or equal to 15\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 + 0 = 0, -5*a + 3*p + 11 = 0. Let n be 18\/(-54) + 529\/3. Calculate the highest common divisor of a and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478378?\nAnswer: 2, 11, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7964.\nAnswer: 2, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 38, 60, 112, 206, 354?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 + 217*j + 1936. Give n(-43).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -70986643307 and -0.06.\nAnswer: -70986643307.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -3 - -1 - -9) + (-2 - 1 - -12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -9334.\nAnswer: 2\/4667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 104\/390*15*1. Let c(n) = 160*n**2. Let x be c(-1). Suppose -20 = -5*t, 5*p - 5*t + 0*t - x = 0. What is the highest common factor of v and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - 56eb?\nAnswer: -56f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 754276579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/7*((-512)\/48 + (-13 - -21)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -353\/10 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 1. Let l(g) = -g. Let y(x) = l(x) + 3*m(x). What is the units digit of y(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16 + 3)\/(1\/(-2)). Find the third derivative of -2*t**2 - x*t**6 + 170*t**5 - 170*t**5 wrt t.\nAnswer: -3120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from yaaa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(19) - (sqrt(19)*-3)**2) - (sqrt(19) + (sqrt(95)\/sqrt(5)*4)**2))*4.\nAnswer: -3268 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/54)\/((-12105)\/1076)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2205))\/(sqrt(252)\/sqrt(7)) + -2 + (-2*(1 + sqrt(245)))**2 + -5.\nAnswer: 105*sqrt(5)\/2 + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/52)\/((-7)\/(-14))*72\/1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3224 by 42.\nAnswer: 1612\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 7. Determine i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -74 + (-37 - -131) + 11\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30640123.\nAnswer: 43, 712561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 172 in -1\/261, 0.9, 0.2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/7 + 2214*b\/7 - 43880\/7 = 0 for b.\nAnswer: 20, 2194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:25 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -23457*d - 1571627. Calculate m(-67).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 572 divided by 206\nAnswer: 286\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*m + 5*m - 9*m)*(-m**2 + 4*m**2 - m**2 + (2*m + 2*m - 6*m)*(-3*m + 3*m - 2*m)) to z*m**3 + g*m + k*m**2 + s and give z.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371045936 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 472*k - 197. What is the hundreds digit of i(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*g = 49*g - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.052 (b) 19.8 (c) 0.7529\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 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: Is (-3787572)\/(-270) - (-26)\/(-11115)*19 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 1:00 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1227574)\/(-54966))\/(0 + 2*1\/(-6)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32739802\/5 at most -6547960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -9. Suppose c = 3*l - 5*p - 14, -2*p - 6 = 0. Which is smaller: l or 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*2*sqrt(2) + (sqrt(432)\/sqrt(6))**2.\nAnswer: 8*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341904 is divided by 1686?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.7337232 + 0.2662768. Suppose 2 = 2*q - 2. Let v = 6 - q. Which is the closest to s? (a) -2 (b) 2\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 87?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -4224\nAnswer: 4222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 319415820 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -6 - -11) + -1 + -6 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499 = -m - 5801. Let d = m - -157547\/25. What is the common denominator of -4\/15 and d?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 4*j**3 + 3*j**3 + 0*j**3. Let g be n(2). Let w be g*((-8)\/10)\/2. Solve 0 = -w*a - 0 - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20332320131 (base 4) to base 12.\nAnswer: 956825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Suppose n*f = 4*f. Suppose f = -0*v - v - 5*a + 13, v = -a + 21. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5537 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1101100200 (base 3) to base 2\nAnswer: -110101001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127951 greater than 127951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -6 (b) -3\/5 (c) 3 (d) 2\/3 (e) -0.0692\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 3, -4\/21, 0.1, -2\/23, -2\/13?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 1821762962.\nAnswer: 1821762961.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from {n: 4, f: 2, b: 7, y: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9332162 >= 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-9)\/2)\/(7 - 10). Let n(a) = 3*a - 5. Let l be n(i). Let f be (-124)\/30 + 16\/l. Put -0.01, f, 2\/11 in increasing order.\nAnswer: f, -0.01, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2486 divided by -349033.\nAnswer: 2486\/349033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220 (base 4) to base 5.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*k**5 - 10*k**3*z - 29*k**2*x**3*z + 9*k*x*z - x**3*z - 3*x**2*z - 26*x*z wrt k?\nAnswer: -460*k**3 - 60*k*z - 58*x**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 813225 - 813223. Solve -24\/5*k - 2\/5*k**q + 26\/5 = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-4) + (-1)\/(-4))\/(-497 - -498).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**4\/18 - 2*b**3\/3 + 3*b**2 + 7*b. Factor k(i).\nAnswer: 2*(i - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24795861 to two decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 59*t**2 - 93*t + 81. Is k(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -10221122001?\nAnswer: -10221121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -447 + 447. Let f(k) be the third derivative of r*k**3 + 0*k + 0 - 1\/20*k**5 + 4*k**2 + 1\/6*k**4. Find the second derivative of f(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/2 + 1\/2. Let u = -15 - z. Let q(g) = g**3 - 10*g**2 + 8*g + 12. Let f be q(9). Solve -4*x - 1 = 3*j - f, -u*j + 3 = x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 57 = 6*z - 0*z. Solve 0 = z*r - 98 + 155 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 9. Let u(j) = 6*j + 10. Let b(q) = -f(q) + u(q). What is b(-8)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5 - 3 - 5*i + 2*i - 7*i wrt i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/8, -10, -1, 4.8, -5, 2\/9 in ascending order.\nAnswer: -10, -5, -9\/8, -1, 2\/9, 4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -11725?\nAnswer: 11730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*i - 0. Find the common denominator of 143\/18 and (-2 - i) + (1 - 81\/48).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 4*r - 8, -3*r + 23 = 2*l. Suppose -l*n - 4*k + 4356 = 0, -17 = -k - 18. What are the prime factors of n?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76712 - 310608 = 4498*s for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011 + -1101?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 1. Let p(f) = -f**3 + 2*f + 3. Give 6*m(l) + 2*p(l).\nAnswer: -2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*i + 8, t = -i - 2*t + 7. Suppose 3*h = 3*j + 93, -119 = 4*j - h - i*h. Find the common denominator of (5 + (-356)\/60)\/(j\/195) and 149\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000111110100100 (base 2) to base 5.\nAnswer: 11233213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1876 and -36\/5159?\nAnswer: 20636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 260702 less than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2964*g**4 + 2028*g**3 - 20*g**2 - 62959*g + 197 wrt g?\nAnswer: 35568*g**2 + 12168*g - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*s - 1149939 - 188430 = 1332425. What are the prime factors of s?\nAnswer: 27253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 38*d**2 + 198*d + 1245. Give z(28).\nAnswer: -1051","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10652.7404 rounded to the nearest integer?\nAnswer: 10653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 + 61 = 1958*g - 1966*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.06078 rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 606.595mg in grams?\nAnswer: 0.606595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 6:12 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 - -88. Suppose k = 5*p - 20. Let z be (-1)\/2*(p - 3). Which is the third smallest value? (a) 0.1 (b) -5 (c) z (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41426, 41425, 41424?\n\"Answer: -q + 41427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2623 = 529. List the prime factors of o.\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 6*o + 1. Let i be x(-5). Let b = 8 + -8. Suppose b = 3*n + i - 27. What is the common denominator of 55\/7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s. Let c(g) = -166*g - 438*g - 389*g - 49*g + 134*g. Determine f(c(x)).\nAnswer: 908*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 13*o**2 + 3*o + 4. Let g be r(13). Let y = -18 + g. Find the third derivative of -153*q**5 + 153*q**5 + y*q**6 - 25*q**2 wrt q.\nAnswer: 3000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287830?\nAnswer: 2, 5, 107, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**5\/5 + 14816*a**4\/5 - 29644*a**3\/5 + 14824*a**2\/5 = 0.\nAnswer: -3706, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.30993ml in litres?\nAnswer: 0.06130993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**3 - 176*o**2 + 171*o + 47. Let x be w(43). Let n = -5 - -5. Suppose n*m = -2*m + 16. What is the greatest common factor of m and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4236 and 1775590?\nAnswer: 10653540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 26 + 37)*(-203*v + 426*v + 2*v**2 - 179*v + 3).\nAnswer: 156*v**2 + 3432*v + 234","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3 - 1) + 0 + -10 + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 55. Suppose -3*g + r = 4*n, -2*g - 9 = -5*g + 3*n. Suppose -93 = -g*m - 43. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g + 27. Let p be z(9). Let w(t) = -14*t - 26. Let l be w(p). Calculate the greatest common factor of l and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27.3 + -635\nAnswer: -607.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21022293 rounded to three decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4082 (base 15) to base 12\nAnswer: -7a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6210, -30\/11, 1.6 in descending order.\nAnswer: 1.6, -30\/11, -6210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - i**2 - i - 8. Let x be o(0). Let h be 2\/(-4) + (-22)\/4 + -2. Is h bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and 1\/173 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.498 minus -5226110039?\nAnswer: 5226110038.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8377310*k*v**3 + 2*v**3 + 17*v**2 + 212504*v with respect to k.\nAnswer: 8377310*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 1. Let a(o) = 12*o - 9. Let h(q) = a(q) - 8*k(q). Let r(j) = -j**2 - 17*j + 5. Give 9*h(b) + 2*r(b).\nAnswer: -2*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1196 = -42346*o + 42254*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25568 + 25656. Solve 87*i = 260 + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*j - 3 + 3)*(6 - 12 - 27)*(32 - 9*j - 32) to the form q*j + i + n*j**2 and give n.\nAnswer: 1782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*n + 6*v - v, -3*v = 4*n - 74. Let w(o) = 11*o**2 + 11 - 8*o - 5*o + 4 + o**3 - 1 - n. Determine w(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kff when three letters picked without replacement from {f: 4, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 - 15*k - 4. Let f(h) = 8*h + 28. Let n be f(-3). Let a be v(n). Solve a = -4*l + 2*w - 0*w - 4, l + 1 = 2*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(19\/4)*d**(2\/13)*d**1*d\/(d*d*d**(1\/2))*d assuming d is positive.\nAnswer: d**(281\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7 + 13 = 0. Let l(p) = 13*p + 1. Let q(c) = -9*c - 1. Give j*l(t) + 7*q(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 25*q - 384 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-354)\/72)*(10\/(-5) + 4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(432) + -1 + sqrt(432) - (sqrt(432) + 1 + sqrt(432))*3) - 4*(-1 + sqrt(432) + -4 + 5))**2.\nAnswer: 11520*sqrt(3) + 249232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -958 - 351. Let c be 5\/((-55)\/(-372)) - 34\/t. Suppose 0 = 3*a + 4*r - c, 5*r + 43 = a - 0*r. Calculate the remainder when 53 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/37 or 18.2034?\nAnswer: 18.2034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o + 2*t = 42, 2*o = -4*t - 16. Let a = -10 - o. Suppose 0 = -5*d + 2*f + 70, 4*d + a = 5*f + 56. What is the least common multiple of d and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (82 - 50) - (-1 - -2 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-1) - 325)*(-278)\/(-840672) and -35\/44?\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1656 + -1609. Suppose -5*j = -h*s + 48*s + 13, 0 = -s + j + 17. Calculate the remainder when (-17)\/1*2\/(-2) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.7 + -38.2. Sort i, 5\/6, 0.4.\nAnswer: 0.4, i, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-12)\/(-8))*24?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000010111 + -111?\nAnswer: 11000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23\/15 + -233\/240. Find the common denominator of f and -109\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -26. What is the nearest to -0.4 in 5, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(170) + -3*sqrt(170)*2))\/((3*1*sqrt(50))\/((sqrt(60) + sqrt(60)*1 - sqrt(60))\/sqrt(12))).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 5*v**2 + 4*v**2)*(-2*v - 4 + 4) + 2*v**3 + 4*v**3 - 8 - 5*v**3.\nAnswer: -v**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2672 or 2674?\nAnswer: 2674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.8263282 rounded to two decimal places?\nAnswer: -10.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121656, 243308, 364960, 486612, 608264, 729916?\nAnswer: 851568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (5 + -18) - 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 + 4*v**2 + 3*v - 7. Determine g(-3).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -1.3. Let z = -0.3 + q. Suppose -95*m + 25 = -100*m. Which is the fourth smallest value? (a) m (b) z (c) 5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-18) + -2 + (-11870)\/53415)*(-10)\/(-8)\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -10*x**2 + 2*x - 3. Let a be s(2). Is a greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01921503 + 0.5.\nAnswer: 0.48078497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4673, -6, 1 in ascending order.\nAnswer: -4673, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104\/1373 or -7?\nAnswer: -104\/1373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.688 - 0.012. Let u = 0.6751 + a. Round u to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10971113 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3194? (a) -0.3 (b) -19 (c) -51 (d) 3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 526, 3, -2, 2 in descending order.\nAnswer: 526, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) 2\/19 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*m + 232*m + 29*m)*(-m + 2*m + 0*m)*(-2*m**2 - 2*m**2 + 2*m**2) in the form o*m**4 + k + s*m + u*m**3 + p*m**2 and give o.\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233313 - 11?\nAnswer: -233330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2388242797?\nAnswer: 2388242797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -72 and -1.39551.\nAnswer: 100.47672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18, -0.4, -1, -4\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -211*s**3 + 78 wrt s?\nAnswer: -633*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*i**2 - 296*i**2 + 597*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652*l + 676*l = -687*l + 2162*l - 6909 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-eight fifths of a century?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (387\/48)\/(165\/220).\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 0.00321?\nAnswer: -13.00321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.236 less than 0.059?\nAnswer: -0.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -340278*c**3*k**2*m**2 + 5*c**3*k**2 + 2*c**3*m - k**2*m**2 + 2*k**2*m + 18*k**2 + 131*k*m + m**2 - 12 wrt m.\nAnswer: -680556*c**3*k**2 - 2*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15786?\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 + 26 = -10*h + 130 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -405, -872, -1537?\nAnswer: -2400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 209, 419, 633, 851, 1073, 1299, 1529?\n\"Answer: 2*y**2 + 204*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1419 and 16899?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**3 - 16 - 8 - 13 + 37.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31050 and 43470.\nAnswer: 217350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34774849 to the power of 1\/2, to the nearest integer?\nAnswer: 5897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.06 (b) -71 (c) 0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 29*a**2 - 52*a - 45. Let y be d(27). Solve -2 = p + 4*z + 5, -3*p = 2*z - y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 26\/15*n**3 + 12\/5*n**2 + 3\/5*n**4 + 2\/25*n**5 - 17 + 8\/5*n. Factor g(a).\nAnswer: 2*(a + 1)**2*(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -8*o + 19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -72 and 0.4.\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**2 - 51*r + 15*r**2 + 38*r + 3*r to the form g + d*r + a*r**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4136)\/136 - -15 - (17 - 66\/2).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8830 - -61813\/7. Which is the second biggest value? (a) 0.3 (b) g (c) 0.1 (d) 2\/7 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8138931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a*a**15)*a)\/a*a)\/(a**(14\/3)\/a))\/(a*a**(2\/15)*a\/a**(-2\/19)) assuming a is positive.\nAnswer: a**(-1796\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 1, q: 1}. Give prob of sequence ki.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0. Is j at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2922954680 and -352.\nAnswer: -2922955032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2465578576?\nAnswer: 2, 1289, 119549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*x**3\/5 - 30*x**2 + 231*x\/5 - 18.\nAnswer: 3*(x - 15)*(x - 1)*(3*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let n(u) = u**3 + 3*u**2 + 2*u. Suppose -5 + 2 = k. Let i be n(k). Determine y(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 11:02 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3745 and 55105?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 329739 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:26 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333 + -111103?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 6*d**3 - 4*d**3 - d**3 + 0*d**3 + 3*d**3 + 2*d**3 + 2*d - 2*d + (-2 - 2 + 3)*(-d**2 - d**3 + d**2) + 6*d**2 - 6*d**2 + 7*d**3.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -12*m**3 - 5*m - 5. Let j(t) = 30*t**3 + 12*t + 12. Let r(n) = 23*n - 12. Let z be r(0). Give z*g(s) - 5*j(s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-3)*189\/(-18). Let z be ((-21)\/c)\/(42\/8). Let p = -0.005 - 0.295. What is the closest to z in -4, p, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 4 - 16 - -13) + 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 39. Suppose 0 = -k + o*k - 5. Suppose 43 = k*m + 4*u + 1, 5*u - 30 = -4*m. Solve -m = -n + 4*d - 3, 0 = 3*n + 4*d - 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29636286, 29636284, 29636282, 29636280, 29636278, 29636276?\n\"Answer: -2*b + 29636288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9305269*x**3 + 9287523*x**3 + 0*x + 0*x.\nAnswer: -17746*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/11)\/(i\/(i*i*i*i**(-3\/7)))*(((i*i\/(i*(i\/(i*i*i\/i**(2\/7)))\/i))\/i)\/i*i*i*i)**17)**(18\/5) assuming i is positive.\nAnswer: i**(114012\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-55)*(103 + 2). Let l = s + -47. Are l and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + -3 - 1) + 4. Calculate the greatest common divisor of s and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 5. Let n be l(-7). Let v = 41 + -38. Let a(w) = -2 + 8 - v - 2*w - 2. Determine a(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 4. Let a = -83 + 79. Let d be 20\/5 - -1 - a. Give m(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2816 and 1848.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33747 is divided by 14870.\nAnswer: 4007","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28016031 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -13 + 3656*l - 9*l**2 - 1808*l - l**3 - 1837*l. Determine v(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18654 and 2956659.\nAnswer: 5913318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36895014 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 16 = 10. Let w = 50 + -47. Sort -2, l, -1, w.\nAnswer: -2, -1, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.14 and 100854371.51.\nAnswer: 100854371.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272985 is divided by 2418?\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 2*m - 114. Calculate b(0).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.02643*-0.03853\nAnswer: 0.0010183479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(187) - (sqrt(187) + -4*sqrt(187) + sqrt(187) + sqrt(187))*-3 - sqrt(187))\/(sqrt(176)\/sqrt(4)) + -1 + -4.\nAnswer: -3*sqrt(17)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -17. Let y(d) = -2*d**3 + d**2 - d + 3. Let c(f) = -5*f**3 - 5*f**2 - 10*f + 17. Let v(q) = -c(q) + 3*y(q). List the prime factors of v(m).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2028 + 2407. Calculate the remainder when y is divided by 44.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 438, 923, 1518, 2169, 2822, 3423, 3918?\nAnswer: 4253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-55)*(25\/(1275\/544) + -9)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*c = 2*n, 0 = -3*n - 3*c. Let s(i) = -i + 4. Let v(u) = 3*u**2 - 2*u - 1. Let o be v(-1). Let p be s(o). Solve -4*g + n*g = p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {z: 2, r: 5, c: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/(-9))\/(1\/35). Let x = -4171\/51 + a. Sort 6\/11, 4\/5, x.\nAnswer: x, 6\/11, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16969466185369 plus -3?\nAnswer: -16969466185372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2797 is divided by 2755.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16 - 116 - 10*b**2 + 150*b**2 wrt b?\nAnswer: 280*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6361, 25415, 57169, 101623, 158777, 228631?\nAnswer: 311185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-33))\/(((-24)\/(-6))\/84).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0077 and -0.07.\nAnswer: -0.000539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 33, 574, 28.\nAnswer: -6, 1, 28, 33, 574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9914*k**3*r**2 - 9738*k**3*r wrt r?\nAnswer: -19828*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 3818 + 144. Suppose -2*g + v = 279. Put 5, -4, 6, g in decreasing order.\nAnswer: 6, 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24860 = -4*t - 24852, 24 = 2*c + 2*t for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393762?\nAnswer: 2, 3, 29, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Let f(g) = -3*g**2 + 2*g**3 + r*g**2 + 4*g**2 - 1. Let h be f(1). Calculate the highest common divisor of h and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a gram in milligrams?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104974392 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510*x = -499*x - 3630. What is the highest common factor of x and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 + -3. Let g = -84 - -49. Let m be ((-4)\/g)\/((-10)\/75*3). Is y smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 47. Let t = q + -47.3. Round t to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**18\/h*h**(11\/6)*h**(-18\/5)*h*h\/((h\/(h**(-17)\/h))\/h)*h assuming h is positive.\nAnswer: h**(7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*f - k, -27 + 1 = -f + 3*k. Let h = f - 7. Suppose -h = -0*z - z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15317684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 - -1.1. Let j = 10.2 - t. Let h = j + -10.99999925. What is h rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + -7.91. Let h = -11066 - -11057.9952. Let p = z - h. Round p to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 20. Let c be l(-25). Suppose r - 2207 = -c*y, 0*r = 3*r + 5*y - 6621. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*x**3 - 45 - 2*x**4 - 4*x**3 + 45 - 32*x**3 - 3*x in the form o*x**4 + m + n*x + c*x**3 + w*x**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1815\/15)\/(-1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 659458406?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31180600 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100101011 + -11?\nAnswer: 101100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 6*n**3 - 9*n**3 + 3*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*v**2 + 5*v**2 + 6*v**3 - 5*v**2 + 75 - 29*v**4 - 4*v**2 wrt v?\nAnswer: -116*v**3 + 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 8*d**7\/105 + 122*d**6\/3 - 2467*d**5\/15 - 1690*d**4\/3 - 614*d**3 - 3970*d**2. Let p(w) = 0. Calculate w.\nAnswer: -307, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 316, -4, 15, -5, 5, -1 in descending order.\nAnswer: 316, 15, 5, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3683 (base 10) in base 15?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -13*q**3 + 2*q**2 + 2*q + 1. Let v(l) = l**3 - 8*l**2 - 6*l + 3. Let j be v(9). Let r = 29 - j. Does 6 divide s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1074.53 + -1075. Are s and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*g + 494 - 1408 = 841. Which is the smallest value? (a) -1 (b) g (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 7*u**2 + 5*u - 2. Let x be l(-6). Suppose k - 2 - 7 = 0. Solve k = j - x*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 4*g**2 + 133*g + 399. Give f(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 10\/(-39))*27\/(-36). Let l = h - 37\/78. Put 1, -2\/7, -0.1, l in decreasing order.\nAnswer: 1, -0.1, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**2. Let l(r) = r. Let w(m) = -4*m + 18. Let u(f) = l(f) - w(f). Let g be u(4). Let t(p) = -5*p**2 + 4*p**2 + 2*p**g. Give t(c(a)).\nAnswer: 64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -11. Let l = 6.1 + -1.1. Which is the second smallest value? (a) -0.2 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 10:23 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6187 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-21450)\/154 + -21)*28\/(-3). What is the greatest common factor of 544 and x?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 1. Let i be x(1). Let o(b) = b**2 - 2*b + 3. Let j be o(i). Suppose 3*w - 4*a - 22 = 0, 0 = -j*w - 2*a - 0*a - 4. Solve -l = -w*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 - 71*p**2 + 68*p - 1001. Let t be k(35). Calculate the greatest common divisor of t and 1358.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1, -28, -0.2 in decreasing order.\nAnswer: -0.2, -1, -20, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -11, 2?\n\"Answer: 13*t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = g - 6*g, -35 = 3*g - s - 3*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 11*f + 160 = 0. What is the remainder when f is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) - (-65)\/4. Suppose z + 3*c = -13, -23*z + 19*z = -4*c - 28. Solve 6*g - z*g = -n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*u**2 + 27*u**2 - 84*u**2.\nAnswer: -293*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 8*j**2 - 8*j + 1. Let o(i) = 3*i**2 - 3*i. Let v = 343 + -161. Let r = v + -185. Give r*u(x) + 8*o(x).\nAnswer: -3*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -5, -84, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3315, 13336, 30059, 53484, 83611, 120440?\n\"Answer: 3351*y**2 - 32*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378 and 72198?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12054 * 4\nAnswer: -48216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2. Let x(w) = 28171*w - 2344050 + 2344050. Give u(x(m)).\nAnswer: 1587210482*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 881280 a multiple of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*j - 470*j + 927*j - 144 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/78 and 22\/221.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45989 and 50?\nAnswer: -2299450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 690*o**4 - 14*o**3 - 30009*o wrt o?\nAnswer: 8280*o**2 - 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -368 - -496. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 37158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, e: 5, b: 1, p: 3}. Give prob of picking 2 b and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242857, 971357, 2185523, 3885355, 6070853, 8742017, 11898847?\nAnswer: 15541343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 145627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -54*v + 63*v. Suppose -31 = -v*t + 2*k - 9, -k - 5 = -t. What is the closest to -4 in t, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1116*d + 1137*d = -189 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*4 + (6 - 3) + -3. Sort y, -15, 4 in descending order.\nAnswer: 4, y, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 7*m**2 + 6*m + 14. Let f be i(-8). Suppose -f*s = -34*s + 76. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 - 2158*g + 3492723.\nAnswer: (g - 3237)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2036?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddqqijddiiqdqdqq. Give prob of sequence dqdd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 897392?\nAnswer: 897387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96676606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/15 - 187*j**4\/3 + 69938*j**3\/3 - 29*j**2 + 4*j. Factor m(t).\nAnswer: 4*(t - 187)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/29)\/y)**(-2\/115))**(4\/9) assuming y is positive.\nAnswer: y**(248\/30015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from kbffffffffkffffff.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**2\/2 - 87*b - 84. Differentiate p(s) with respect to s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l*v**4 + 13*l*v**3 - 4*l*v + 32*l - 2*v**4 wrt v.\nAnswer: 24*l*v**2 + 78*l*v - 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - 2*r + 3*r)*(-1 - 1 + 4) + 2*r - 5*r + 4*r - 2*r + 0*r + 0*r + 2 - 2*r - 2 - 14139*r + 19 + 20 - 1410*r - 37 to the form d*r + k and give d.\nAnswer: -15550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*l + 89*l - 1333 - 8091 = -0*l for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 3*m**2 + 0*m + 6*m**3 + 4*m**3 - 1 + m**2. What is the units digit of h(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -498411*g**4 - 500940*g**3 - 168666*g**2 - 57908*g\/3 - 281\/3 = 0.\nAnswer: -1\/3, -281\/55379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -726 divided by -33.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16011144113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 294 = -15*u - 123 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145234239451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1577\/9 - -175. Is f at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.3, 6, -0.92?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:36 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)*q**(1\/8))\/(q**9)**(-1\/21) assuming q is positive.\nAnswer: q**(-529\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1204 - -24?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 4*r + 2. Suppose o = 1, -3*o + 288 = f + 4*f. Let i be 4\/38 - 291\/f. Determine s(i).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 15 - 115 = 0. Let r(v) = -8*v**2 - 15*v - 24. Let i be r(-2). Is k >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285 divided by 40985.\nAnswer: -57\/8197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - -54) + (-5 - -12 - 7 - 79).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51785 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from {o: 1, b: 1, z: 1, t: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 8*t**3\/15 - 1882*t**2\/5 + 376*t + 5000. Determine s, given that n(s) = 0.\nAnswer: 1\/2, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from eaaajeaanjaaeajajaa.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8\/i**20*(i**(-9))**(2\/15))**(1\/13) assuming i is positive.\nAnswer: i**(-66\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s - 27. Let w = s - -18. What is the greatest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276565\/7 + -39509. What is the nearest to -2 in -4.5, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 - -9.8. Let n = 609.3 + -609.3. What is the nearest to n in -4\/5, 2, u?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 + 39 = 3*u, -4*u - 4*o = -12. Let x be 0\/(-1)*7\/u. Solve -r = -2 - x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30876227371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -36*g - 1. Let y be w(1). Let h = y - -72. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/8 and -17\/10088?\nAnswer: 10088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -32*p - 10538. Let a(s) = 2*s. What is t(a(c))?\nAnswer: -64*c - 10538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -4*m - 28, 2 = 2*v - 5*m - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0 + 5. Let a(p) = -p**2 - 17*p + 7. Let d(g) = g**2 + 25*g - 10. Let b(k) = u*d(k) + 7*a(k). Suppose -2*l + l = -4. Give b(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -471 - -491. Let k(p) be the second derivative of p**4\/12 - 5*p**3\/6 + 2*p**2 - p. Let n be k(5). Solve 3*o = -n*u + 12, 5*o - i = u + 2*u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q + 28 = 0. Let d(k) = -k**2 - 10*k - 15. Let i be d(q). Let v be (-4)\/(-2) + (4 + 0 - 1). Are i and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2943335.\nAnswer: 5, 588667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297, 576, 901, 1278, 1713?\nAnswer: 2212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - h + 5*h)*(3*h**2 - 4*h**2 - h**2) - h - 19*h**3 + 0*h - 3 + 18*h**3 in the form g*h**2 + l + x*h + w*h**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42e5672 - -1?\nAnswer: -42e5671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 11*s**2 + 10*s - 11. Let l be x(11). Suppose 2*f - 19 = l. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -311*f + f**2 + 2*f**3 + 312*f - 2 + f**3 to g + d*f + b*f**2 + n*f**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/9*4994\/(-1135)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 77*k**2\/2 + 162*k.\nAnswer: -k*(k - 81)*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 114. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 - 7*p**2 - 29 - 21*p - 40)*(3*p + 2*p - 3*p).\nAnswer: -14*p**3 - 42*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6377.117 years to months.\nAnswer: 76525.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 75*u**2 - 810*u + 2187 = 0.\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13184 and 14832.\nAnswer: 118656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3535820 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - g**2 + 17*g - 9. Let v be d(-5). Solve -2*s - 2*o - 12 = 0, -3*s + s = -o + v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 2*q - 2*q)*(-q**2 + 3*q**4 - q**2 - 2*q**2).\nAnswer: 12*q**5 - 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 612 = -4*y, s - 4*y = -128 + 476. Calculate the greatest common divisor of 3584 and s.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8677950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 15 = 0, 67*j = 64*j + 2*t + 10690. Is 40 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h - 19. Suppose 5*b = 5*c - 35, -7*c + 3*c = b - 8. Suppose 8*k - 195 = c*k. What is the remainder when m(-8) is divided by k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((3 - -2) + -2 + 32 + -27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -748, -765, -810, -895, -1032, -1233, -1510, -1875?\n\"Answer: -2*h**3 - 2*h**2 + 3*h - 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 = 6*n - 2279. Round n to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1126, 1142, 1184, 1264, 1394, 1586, 1852?\nAnswer: 2204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 134*a + 239. Determine t(-3).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15620.\nAnswer: 2, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((250\/14000)\/(2\/(-16)))\/(30\/7)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + t + 52 = 6*t, -5*t = -2*a + 18. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 18*d - 34. Let j be o(2). What is the highest common factor of j and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12)*m)\/m**(-1\/7) assuming m is positive.\nAnswer: m**(-76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1501, -1500, -1499, -1498, -1497, -1496?\nAnswer: -1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37969 divided by 2.\nAnswer: -37969\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*k = 13 - 1, 3*k = -12. What are the prime factors of 14\/(d - (-60)\/(-16))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 17*u + 1. Let x(r) = r**2 - 8*r + 1. What is 6*i(p) - 13*x(p)?\nAnswer: -p**2 + 2*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + 1269. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + -2 + 2 + (sqrt(117) + 0)**2 + -5 + sqrt(117) + 3.\nAnswer: 6*sqrt(13) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 7*t + 1. Let b be w(-11). Suppose 3*y + 2*u = -74, 5*u = y - 4 + 40. Let s = b + y. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106 divided by 5?\nAnswer: 1106\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a + 1. Let n(r) be the third derivative of r**4\/24 + r**3\/6 - 2*r**2. Determine -g(f) + 2*n(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y - 9. Calculate q(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0 + 0*u**3 + 0*u - 1\/30*u**5 - 92*u**2 + 0*u**4 - 27\/40*u**6. Find the third derivative of n(k) wrt k.\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 715524695 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2933, 5865, 8797, 11729?\n\"Answer: 2932*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.30345 + -0.312273. Round a to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 d, 1 z, and 1 v when four letters picked without replacement from {z: 1, e: 1, b: 6, v: 2, d: 8}?\nAnswer: 8\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 at least as big as 913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 969, -20, 2, -2, -4 in descending order.\nAnswer: 969, 2, -2, -4, -18, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.88 and 59376?\nAnswer: 111626.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 129, 157, 193, 237, 289, 349, 417?\n\"Answer: 4*k**2 + 16*k + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 805839 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84 - (-26 + 24 + 16)) + -1 + 2?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6046 is divided by 170.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*b**2 + 655*b**2 - 325*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 5:20 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/31 (b) -1\/57 (c) -0.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -460 (base 11) to base 2\nAnswer: -1000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 5*t**2 + 4*t**2 + 0*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/14 - (-1 - -2). Let g = -36 + 36. Is g less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 25*o**2. Let d(a) = 125*a. What is d(n(m))?\nAnswer: 3125*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -401 in 0, 2, -0.3, -0.941, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w - 3*w + 10*w + 0*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 376141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -113\/12 (b) -0.4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + -bb85?\nAnswer: -bb8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 106, 247, 498, 895, 1474?\n\"Answer: 6*a**3 + a**2 + 22*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22011405 (base 6) to base 13.\nAnswer: 19c0a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -18. Find the third derivative of -2*g**2 - 2*g**2 + 0*g**2 + 2*g**d - 3*g**5 wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ybuyuuuxuybx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (0 - (-1 - -1))) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 111090.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -15, 3, 4, -10 in descending order.\nAnswer: 4, 3, 1, 0, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60.888 + 0.112. Let a = -50 + c. What is the smallest value in a, 1\/4, 0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97040 is divided by 349?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 206 - 203. Which is the biggest value? (a) -4 (b) v (c) 402\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and (1 - -83) + 3 + -5.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 693744959*b**2*p**2*r**2 - 11*b*p**2*r - 468523*b*p**2 + b*r**2 + 14*p**2*r wrt b?\nAnswer: 1387489918*p**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, v: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*a + 4*g - 9, 0 = 4*a - 5*g - 21. Calculate the smallest common multiple of 22\/a - (-6)\/12 and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 451939275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -659 + 909. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 58. Let l(r) be the first derivative of -1\/2*r**2 - 3\/4*r**4 + r - 1 - 1\/3*r**3. Give l(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 26 = 5*m - m, -x - 12 = -3*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1400 and -36\/16808575.\nAnswer: 134468600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eppeeplpeblpllp. Give prob of picking 1 e and 1 l.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 329.7545ns in microseconds?\nAnswer: 0.3297545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 214*u - 11220. Determine c(-105).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z + 3. Let q(b) = 2808*b - 3276. What is 6552*n(j) + 6*q(j)?\nAnswer: 3744*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -530, -415, -282, -131, 38, 225, 430?\n\"Answer: 9*i**2 + 88*i - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 70*j - 790 = -75*j, 0 = -x - 5*j + 146. Calculate the greatest common divisor of 2507 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 84 - 125 + 38 - 94)*(0*z**2 + 3*z**2 + 3*z**2).\nAnswer: -1320*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5 + 18 - 9 + 0 - t. Let k(y) = -1. What is -3*k(o) - p(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, s: 1}. What is prob of sequence gsg?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81009234?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131531 and 1339.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2680 - 5361 + 2681 - 520*s**2)*(2*s**3 - 9*s**3 + 5*s**3).\nAnswer: 1040*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -187, -489, -1027, -1867, -3075?\nAnswer: -4717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6*j - 316. Suppose 2*s - 31 = z, j = 5*s - 0*z - 3*z. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/36*-3)\/((-3)\/9). Suppose -4*w + 6 - 22 = 0. Let c = w + 16. Solve 0 = -4*j - h*f - c, 2*j + 4 = -j - 4*f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -22*u - 19. Let c(r) = 21*r + 17. Calculate 3*c(o) + 2*i(o).\nAnswer: 19*o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20304014 - 33321?\nAnswer: -20342340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + -0.12. Suppose 2*p - 4*p - 4*k = 62, -k + 177 = -5*p. Let v = p - -39. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4 - a**3 + 4*a**2 + 4*a = 0 for a.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-54))\/((-84)\/(-70)*(-20)\/6)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5\/3)*g)\/g*g)\/(g**2*g)*(g**0\/g)**20 assuming g is positive.\nAnswer: g**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3*j**2 + 36*i**3*j + 80*i**3 - 2*i**2*j + 2902*j**2 + 2*j wrt j.\nAnswer: -4*i**3 + 5804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 3, -4\/5, 1, -5, 0.3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -0*u + u - 3*h, 4*u = -5*h + 1. Suppose 0 = d + 4*d - 2*t - 15, d - u*t = -15. Let n = -1 + 15. What is the remainder when n is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37982 * -0.08\nAnswer: 3038.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4736791?\nAnswer: 4736791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g + 133. Determine p(25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 3. Let v be s(0). Put v, -5, -3 in ascending order.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21 + -0.41. Let n be 2\/(-6) + (-28)\/(-30). What is the closest to n in 5, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b04c (base 13) to base 4\nAnswer: -11322213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 255, 493, 827, 1257, 1783?\nAnswer: 2405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -13610958 to the nearest 10000.\nAnswer: -13610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -856935, -1713864, -2570791, -3427716, -4284639?\n\"Answer: b**2 - 856932*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -205.61, -2, 2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -268*s + 5. Let i(o) = -538*o + 9. Let h(f) = 4*i(f) - 7*m(f). Let v(n) = -5*n**2. Calculate h(v(p)).\nAnswer: 1380*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4\/5 - 56*j**3\/5 - 132*j**2\/5 + 448*j\/5 - 256\/5.\nAnswer: -4*(j - 1)**2*(j + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkhhhhhkhhh. What is prob of picking 3 h and 1 k?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a - 5*a - 77*a**2 + 40*a - 142*a**2.\nAnswer: -219*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(-3*-1*sqrt(3)))\/(-4*(sqrt(16) + sqrt(16)*-2)\/sqrt(8)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**3\/3 + 25*i**2 + 317*i\/3 - 28 = 0 for i.\nAnswer: -12, -7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -21. Suppose -4*n - 12 = -n. Put -3, n, y in increasing order.\nAnswer: n, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 3722?\nAnswer: 171212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 13*u - 8*u - 1 + 22 + 22*u. List the prime factors of d(9).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + (sqrt(102)*-5 - sqrt(102)))*3 + sqrt(102))\/(sqrt(6) - (6*sqrt(726) - sqrt(6)))*2*3)**2.\nAnswer: 7497\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0*t + 16. Suppose 0 = 3*m - 13 - 26. What is the remainder when m is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 4:16 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Sort h, 0.3, 0.5 in ascending order.\nAnswer: 0.3, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2384*x - 190 = 17*w + 2428*x, 10 = -w - 2*x for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + o + 1)*(1 - 1 - 1) + 183 - 365 - 3*o + 200.\nAnswer: -4*o + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 15*n**2 + 18*n - 28. Let h be v(16). Suppose 4*p = -3*j + 287, 0*p - 286 = -h*p - 2*j. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -14*d + 460. Calculate g(40).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4.5. Let r = 520 - 518. Sort 0.9, r, 1\/11, u in ascending order.\nAnswer: u, 1\/11, 0.9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 16*b - 11*b + 73 = 4*a - 145 + 39, -2*a = -3*b - 7 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence piss when four letters picked without replacement from sspiskiiiss?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 28836.\nAnswer: 28834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jenj when four letters picked without replacement from jjjjjeneccjj.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -149*v - 46. Let s be h(-2). Let t = -249 + s. Factor -6\/17*j**t - 6\/17*j**2 + 0 - 2\/17*j - 2\/17*j**4.\nAnswer: -2*j*(j + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0067364 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 6. Let c be j(-5). Let r(i) = 3*i**2 + 6*i - 4. Let y be r(-3). Put c, 1, y in descending order.\nAnswer: y, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 84151.\nAnswer: 2\/84151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 224 + 279. Suppose -x + 1724 = 3*p. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005853646 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 246 - 471 + 225 - 2793*h as i*h + j and give i.\nAnswer: -2793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.939 to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2\/4 + 48895*y\/4 + 12225.\nAnswer: -5*(y - 9780)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 48*i**2 - 87*i - 612.\nAnswer: 3*(i - 4)*(i + 3)*(i + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - c - 21 = 0, 3*c + 86 - 99 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 1. Let m(o) = -o**2 + 1. Let f(d) = -2*i(d) - m(d). What is f(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-5) - (-8)\/(-20). Let p be (s\/(-6))\/((-4)\/36). Suppose j + p*j - 352 = 0. Calculate the highest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067052304 a multiple of 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u**(-1\/5)*u))\/u)*u**(-2\/7)*u*u*u)\/(u\/(u*u\/(u**2\/u))*u**(1\/10)) assuming u is positive.\nAnswer: u**(309\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*d + 5, 0 = -3*t + 4*t - 4*d + 5. Is (1*t)\/(0 + 1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0 = -20. Let a(z) = z**3 + 7*z**2 - 2 + 8*z**2 - l + 3*z + 0. Is a(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 12*c - 6*c + 16*c to i*c + j and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -14*i**4 - 74*i**3 + 232*i**2 + 1080*i + 288 = 0.\nAnswer: -6, -3, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + 0 + (1324 - 1301)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 32731746 and 94.\nAnswer: 32731840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -1\/8, 0.5, 2\/5, -2, 1\/32?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -26*f + 4495. What is the lowest common multiple of 714 and b(167)?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.8 times -0.02\nAnswer: 0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-6) + (-730)\/420 and 3\/2*(-1341)\/(-162).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 84 - -94886?\nAnswer: 94970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/((sqrt(108) - sqrt(108)*4 - sqrt(108)) + sqrt(3)) + 5.\nAnswer: -sqrt(3)\/23 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmf. Give prob of picking 1 f and 1 m.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10822136 or -10822137?\nAnswer: -10822136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 13) to base 7\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 3*p + 13. Calculate the remainder when v(-9) is divided by (2 + 17)*(6 - (-2 - -7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11 - -0.013. Let d = c - -0.09700049. Round d to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**0*m*m*m**(-14)*m*m*m)**(-29) assuming m is positive.\nAnswer: m**232","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.7, 0.2, -5 in descending order.\nAnswer: 0.2, -5, -10.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -552442 and 1.\nAnswer: -552442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 8:03 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087420718?\nAnswer: 2, 3, 17, 20464909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**4 - 2*j + 1. Let c(k) = -9*k**4 + 453*k**3 - 13*k + 24. Let h(r) = -c(r) + 4*u(r). What is the second derivative of h(s) wrt s?\nAnswer: 12*s**2 - 2718*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahffhafhhhf. What is prob of picking 1 f and 1 a?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 8*k + 32. Let d be 81\/3 + k + -4. Solve -2*r = -8, -3*f = 4*r + 2 - d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = i + 22. What is the third derivative of 46 - i*y**5 - 46 + 21*y**5 - 34*y**2 wrt y?\nAnswer: -1560*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/9 and -7\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k - 98 + 23*k - 22*k + 13*k. Give l(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -2 + sqrt(2))*-6 + sqrt(32) + -6*(sqrt(96)\/sqrt(3) - sqrt(32)).\nAnswer: -62*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2293420755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1282*n**6 - 6*n**2 + 16*n wrt n.\nAnswer: -153840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1 - 3) + -11 + 14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**4 - 5*q**4 + 6*q**4 + (4*q**3 - 2*q**3 + 0*q**3)*(-3*q + 0*q - 10*q + 2*q + 3*q - 3*q + (q - 2*q - q)*(-3 + 6 - 1)).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4.7, -0.4, 3\/4, -2\/9, -2?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 109*n + 4440 = 15*n. What is the remainder when (214\/3)\/((-4)\/(-6)) is divided by n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2*j**4 - 87\/2*j + 81\/2*j**2 - 21\/2*j**3 + 15 = 0. What is j?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4771874.\nAnswer: 2, 67, 149, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18964957*u**5 + 606309*u**2?\nAnswer: 1137897420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*g, 3*c + 2*g - 37 - 7 = 0. Calculate the lowest common multiple of c and 162.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 + 2*w - 1. Calculate f(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1197 and 198618?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93505.05 weeks to minutes.\nAnswer: 942530904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + 15 + -5 + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(63\/70)*-27. Solve -3*b + 2*b + 8 = 3*o, 5*b = -5*o + y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 2*p**2 + 2*p + 5. Give z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 - 18. Let q be j\/(-102) + 6\/51. Let s(h) = 8*h**2 - h + 1. Give s(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1250*k + 0 - 1522*k + 4487*k - 1443*k.\nAnswer: 272*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5863*x - 17597. What is l(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 915380 by -185.\nAnswer: -4948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 + 9*i**2 + 11*i + 12. Give y(-5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 + -219. Let g be 3\/(-12) - 18\/f. Which is the third smallest value? (a) -5 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -58*h - 490. What is x(-8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 10*l**2 - 2*l + 16. Let z(s) = -s**2 - 3. Calculate -k(g) - 3*z(g).\nAnswer: -7*g**2 + 2*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4512*(-2 - 33\/(-12)). Let n = -2334 - z. Round n to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than 7.663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 28bae8?\nAnswer: 28baeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 16428.6, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 104 - (-48 - (-53 + (-1 - 7))).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6779177*f**2 + 42695234 wrt f.\nAnswer: -13558354*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20514 + 21726. What is the least common multiple of u and 6?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 268 = -4*z + w, 0 = -5*w + 5. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 147 - -383. Suppose 0 = -5*d + 5*q - 530, 3*q + j = -5*d + 2*q. Let z = d + 108. Solve -2*t + z = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1722668 divided by 2.\nAnswer: 861334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 684 and 3942.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 o, and 1 z when four letters picked without replacement from auaaoiaauaazuauoa?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 20. Let x be 7\/3 + -2 + b\/9. Solve 4*c = x + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 + 4115*p + 8231\/2.\nAnswer: -(p - 8231)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g + 6. Let d(c) = -7*c + 5. Let z(v) = -5*a(v) + 6*d(v). Let p = 3 - 0. Let m(i) = 3*i - p*i + 2*i. Give m(z(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 358360272 divided by -4977226\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -3\/2, 739, -22\/23?\nAnswer: -22\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - k - 654 - k + 2*k.\nAnswer: 2*k - 654","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*sqrt(8))**2 - (sqrt(2) - sqrt(12)\/(sqrt(6) + (sqrt(6) - -1*sqrt(6))))).\nAnswer: -4*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, 1\/3, -107?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1031030 (base 5) to base 6.\nAnswer: 213400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/36*((-6)\/(-9))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/26 and -79\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 32560627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(156)*3 - sqrt(156))*-5)\/(5*(sqrt(972) - sqrt(972)*3))*5.\nAnswer: -5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d + 15*d - 12. Suppose 3*w + d*a + 6999 = 8*w, 3*a = w - 1402. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 17. Which is the second biggest value? (a) -2 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/3 - 724*l**2\/3 + 480*l.\nAnswer: 2*l*(l - 360)*(l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85721*q - 233*q**3 - 85327*q - 3*q**2 + 3*q**2 wrt q.\nAnswer: -1398*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/27)*h**(-41)\/h*(h\/h**(-1\/10))**(-42) assuming h is positive.\nAnswer: h**(-11917\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l + 4. Let k(q) = q - 1. Calculate -k(g) - v(g).\nAnswer: 3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.1 + 21. Let v = -3 - y. Which is the closest to v? (a) 0 (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14333034523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4277 (base 15) to base 7.\nAnswer: 55666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -533*s**2 - 520*s**2 + 1074*s**2 + 4*s in the form i + n*s + o*s**2 and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 3, i: 4}. What is prob of sequence ii?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + -1 + sqrt(75))*-6.\nAnswer: -60*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 29*l**2 + 32*l - 22. Let j be y(28). Put 2, 0, j, -1 in decreasing order.\nAnswer: j, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3423335.\nAnswer: 2\/3423335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -19412 + 9*g - g + 19478 - g**2 + 0*g**2. Calculate the remainder when c(12) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15199 - 12479. What is the highest common divisor of 30 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v + 15 = 0, -3*v = -5*u + 50. Let k = u - 8. Suppose -4 = -g - 2*x + 1, k*g - 40 = 5*x. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -333 - -338. Let a = -7 + 15. Let y = a - 6. Put 4, y, z in ascending order.\nAnswer: y, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 4*u. Let m be c(-5). Let j be (-3 + 2)*(0 + m). Let s be ((-12)\/4)\/(-5 + 4). Sort s, j, 4 in increasing order.\nAnswer: j, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650576699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 144114143 (base 5) to base 6\nAnswer: 24300243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/15)\/(2\/(-36)). Suppose 2*p + c = 6*p. Suppose -t = 0, -p*k - 6*t + 66 = -2*t. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.51 + 0.4. Let q = -1660843.10999928 - -1660843. Let z = a - q. What is z rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723283 is divided by 911?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -9*m**5\/4 - 5745*m**4\/4 - 58555*m**3\/4 - 94695*m**2\/4 + 20875*m - 3768 = 0.\nAnswer: -628, -8, -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h**2 + 8*h + 4. Let m be i(-6). Suppose 5*f + m = 19. What is f rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 + -2?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00296709397 to five dps.\nAnswer: 0.00297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 7*l = 84. Solve 6 = -l*i - 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7648 - 1350627503.\nAnswer: -1350619855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.95376 - 11.04603. Let z = 26 + w. What is z rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -128*r. Let g(t) = t**2 - 9*t - 27. Give g(n(d)).\nAnswer: 16384*d**2 + 1152*d - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -391*p - 69. Let c(z) be the second derivative of 23*z**3\/6 + 2*z**2 - 284*z. Determine 69*c(n) + 4*j(n).\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbvpvvtvtvevpv. What is prob of sequence pp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 21846*o**2 - 21846*o**2 - o - 36*o**4 wrt o?\nAnswer: -432*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -2*n - k, -k = 5*n + k - 218. Suppose -2*p = 4*z + n, -5*p - 14 = z + z. Let b = z - -20. Calculate the highest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (26 - -25 - -6) + 61\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 8, 0.2.\nAnswer: -7, -2, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**6\/225 - 9*v**5\/50 - 29*v**4\/30 - 89*v**3\/45 - 2*v**2 + 20*v + 18. Determine p, given that f(p) = 0.\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.8 - 14.5. Round a to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-378)\/(-7)*(-16)\/(-96)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*z**4 + 0*z**2 - 16*z**4 + 4*z**2 + 22*z**4 wrt z?\nAnswer: 552*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and 445.3408555.\nAnswer: 451.3408555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lylqtqqqttttqttot. What is prob of picking 2 t and 1 l?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149 is divided by 167.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1453101 and 91.\nAnswer: 10171707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582\/113 bigger than 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1576 (base 10) to base 13\nAnswer: -943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + 45. Let n = 301 - y. List the prime factors of n - (20\/(-15) - 2\/(-6)).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1542356, 3 in ascending order.\nAnswer: -1542356, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*(-3)\/(-39)*1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*w + 21, w + 3 = -2. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.5 - 5.5. Let g = j + 28.8. Which is the nearest to 0? (a) -2\/3 (b) -4\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -26. Let r(j) = -j**3 + 8*j**2 + 7*j. Let q be r(l). Let u(g) = -2*g**2 - 37*g + 21. What is the tens digit of u(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (25 - (7 - 9))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z**2 + 0*z**2 - 21*z**2 + (2 - 1 - 2)*(-z + z + 3*z**2) to r + a*z + v*z**2 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 0*h - 3*h)*(-3 + 3 + 2*h) + h**2 + 2 - 2 + (3*h + h - 6*h)*(-2 + h + 2) in the form p*h + t*h**2 + l and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 2*s + 3*b + 30, -5*s = -10*b + 5*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.258553 + 0.558553. Let m be (-4 - 0)*(-3)\/2. What is the second biggest value in 2\/5, m, q, 1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99008944, 99008943, 99008942, 99008941, 99008940, 99008939?\nAnswer: 99008938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 11 = -p, -47*p = 8*t - t - 12*t + 163 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 475957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/24 - -7\/24. Let f be (-18)\/8 + 4 - 2. Which is the second smallest value? (a) f (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 3*f + 3. Let h(s) = 7*s**2 - 11*s + 11. Let m(l) = -22*d(l) + 6*h(l). Let k(r) = 17*r - 1. Determine k(m(p)).\nAnswer: -34*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 6*j**2 - 2*j - 4. Suppose 0 = -z - 3*z - 28. Let q be (-37)\/z - 16\/56. What is s(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7744747693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -181*o + 179*o + 5, -10 = 4*f - 3*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-1 + 1) - (-5 + 60). Let s = j - -59. Suppose -s*a + 15 = 3. Solve -12 = 5*l + a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**4\/3 - d**3\/6 - d**2\/2 - 3*d. Let o(y) be the first derivative of h(y). Give o(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 76050, 152100, 228152, 304206, 380262, 456320?\n\"Answer: s**2 + 76047*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, -2303, -6490, -12493, -20312, -29947, -41398?\nAnswer: -54665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17739270?\nAnswer: 2, 3, 5, 65701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -75 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 3*p**2 + 5*p - 3. Let g be y(3). Let o = g + -2. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14140 + -20077. Let f = -5922.026 - x. Let y = f + -15. What is y rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248 + 138911328*d - 138911374*d + 490 - 242.\nAnswer: -46*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 10*a**2 - 5*a - 47. Calculate the remainder when 53 is divided by u(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or -353?\nAnswer: -353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 7*z + 6*z - 6)*(-6*z - 31 + 31) + (2*z - 4*z + 0*z)*(0*z + 5*z - 4*z) as v*z + o + x*z**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 37*h**2 + 28*h + 4. Let u be v(-6). Is (u\/32)\/(1\/38) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 19*m**2 + 2*m + 532. Give i(17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798 - 1602 - 31*p + 804.\nAnswer: -31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + x - 1)*(-x**3 - x**4 + x**3) - 2*x**2 + 2*x**2 - 2*x**5 + 9*x**5 + 19*x**5 + 6*x**5 - 4*x**3 + 9*x**5 + 3*x**3 + 0*x**3 + 2 - 2*x**2.\nAnswer: 40*x**5 - x**3 - 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 6*a**2 + 9 + (-a + a + a)*(a + a - 4*a))*(33*a**2 + 41*a**2 + 2*a**3 - 103*a**2).\nAnswer: 8*a**5 - 116*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -3419704.\nAnswer: 25\/3419704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.008, 2, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {g: 1, u: 1, v: 1, m: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -0.1. Let j = q - 0. Which is the second smallest value? (a) j (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.191 + 6.191. Which is the nearest to -36? (a) i (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 0 - 85*u + 47*u + 46*u - u.\nAnswer: 7*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70, -143, -218, -295?\n\"Answer: -h**2 - 70*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 998670240.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, t: 2, s: 4}. Give prob of sequence teet.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*k + 234 = 295 + 475 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 10069*w**4\/24 - w**3\/6 - 73*w**2 - 6*w - 2. Let z(l) = -l. Give u(z(t)).\nAnswer: -10069*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -4\/13, -2\/55 in descending order.\nAnswer: -2\/55, -4\/13, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + 4 + 7*v**4 - 7 + 0*v**4 + 3*v**5 - 2*v**5 - 2*v**5 + (-2*v**4 - 3*v**4 + 3*v**4)*(4*v - 4*v - 2*v) - 3*v**3 + 3*v**3 + 2*v**5.\nAnswer: 4*v**5 + 7*v**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 - (-7 + 3). Suppose 0 = -h*p - p. Suppose p = 5*v + 3*g - g - 24, 5*g - 2 = 2*v. Solve 4*m + 8 = v*o, 3*m + 10 = 7*o - 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 1:03 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, n: 10}. What is prob of sequence nn?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*v - 77*v - 77*v - 78*v + 449*v + 3 - 74*v.\nAnswer: -6*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.013\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from dndddoondonndddd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15721221 a multiple of 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/3*1\/13.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1815\/(-75) + 24 + 4\/(-30). Is w greater than 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 439 = 448 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -0.2 (b) 1\/10 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -6\/5, 5, 4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2170 - -10671. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 361 - 348. What is the closest to -0.1 in 2, u, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.3 + -4. What is the closest to -3 in t, 0.01, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 - 5*j + 5. What is the remainder when p(3) is divided by ((-532)\/(-95))\/((-4)\/(-10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 15\/(-10))*-12. Let l(j) be the second derivative of 0 - j + 5\/84*j**7 - 1\/2*j**2 - 1\/12*j**3 - 2\/15*j**x + 5\/12*j**4 - 1\/10*j**5. Factor l(a).\nAnswer: (a - 1)**3*(a + 1)*(5*a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 0. Let g = -9 + 10. Let i(h) = 9*h + 4*h**2 - 3*h**2 - g - 7*h. Determine i(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1482 - -2282. Calculate the greatest common divisor of 80 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*q - 2668 + 7314 = -731*q + 24296 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -4, 0 in descending order.\nAnswer: 4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**3 + h**3 + h**3)*(0 - 3 + 2) - h**2 + h**2 - h**3 + (-h - 3*h + 3*h)*(5*h + 10*h - 16*h + 18*h**2) to p*h**3 + z + w*h + l*h**2 and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*n + 1000981, -n = -331*t + 327*t - 200186. Round n to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143 divided by 5.\nAnswer: -143\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(114)*1 - (sqrt(114) + 2*sqrt(114)*1))*-4)\/(3*sqrt(384) - (sqrt(6) + (sqrt(24) - sqrt(48)\/sqrt(2) - sqrt(24)))).\nAnswer: -4*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 9:01 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 12*y + 34 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -154*k - 20201. What is g(-131)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.237 to the nearest integer.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -399*h + 1996. Let d be j(5). Let g = 0.08 + -0.056. Let z = 38.976 + g. Which is bigger: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1331640781358 - 254117010305981041\/190830. Let d = c - -1\/6361. What is the common denominator of 39\/20 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 9 - 20 = 11. Solve -2*z + 3*w = 18, -s*z = -6*z + w - 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 7, -5 in ascending order.\nAnswer: -6, -5, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 31365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170924 and 24?\nAnswer: 1025544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2965 is divided by 589?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10.6763 and -1.03.\nAnswer: -11.7063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -12*z + 8*z. Suppose -2*v + z - 43 = 0. Suppose -2*j - 3*j = 4*a - 198, -j + v*a = -30. Is 39 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422 + -3412223?\nAnswer: -3413200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4*b**(3\/14))\/(b*b**(1\/2)*b)**13)**(-14) assuming b is positive.\nAnswer: b**396","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -664.6 + 664.4. Which is the closest to 0.1? (a) 0.1 (b) 26 (c) g (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 8*t**2 + 8*t - 3. Suppose 3*d - 7*d = -5*j + 145, 0 = -j + 4*d + 29. What is the remainder when j is divided by k(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9967412, 79739913, 269122414, 637919915, 1245937416, 2152979917, 3418852418?\nAnswer: 5103359919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 5*q + q)*(-1 - 1 - 3).\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5))**(-21)*f**4*f**(2\/7)*f)**(-27\/4) assuming f is positive.\nAnswer: f**(-12933\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 76 = p. Let l = -15 + p. Solve -l*w = -3*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*r = -38542, 244*r = 249*r - 10. List the prime factors of a.\nAnswer: 2, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714*w + 14190 + 34644 = -352*w - 12994 for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -0.9. Let x(b) = -51*b - 305. Let m be x(-6). What is the nearest to -1 in m, r, 1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2123499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 0 - 1\/360*o**6 + 0*o**3 + 0*o**4 + 0*o - o**2 + 0*o**5 - 1\/630*o**7. Determine q, given that k(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npk when three letters picked without replacement from bpkkwbn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 3*u**2 - 1\/8*u**4 + 0*u + 0*u**5 - 1\/40*u**6 + 0 + 0*u**3. What is the second derivative of s(x) wrt x?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.6 and 29.\nAnswer: -133.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l\/(l*l**1\/l))**(9\/7)\/(l*l\/(l\/l**(2\/5)))**(-39) assuming l is positive.\nAnswer: l**(2046\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 + 2 - (2 + 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -122323.9 rounded to the nearest 100?\nAnswer: -122300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4 + 69*u**3 + 567*u**2 + 1911*u + 2058 = 0. What is u?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3)\/((-10)\/1210*-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-5) - 8\/20. Which is the smallest value? (a) w (b) 5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1907, 3716, 5425, 7028, 8519, 9892?\n\"Answer: -t**3 - 44*t**2 + 1948*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1539, 1541, 1543?\n\"Answer: 2*s + 1537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 + q**2 + 4*q**2. Let w(k) = 13*k - 11. Let u = -4 + -2. Let g(x) = -7*x + 6. Let h(s) = u*w(s) - 11*g(s). What is h(c(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(3\/4))\/(h\/(h\/(h\/h**1)*h)*h))\/(h**(2\/19)*h**3\/h))**(4\/7) assuming h is positive.\nAnswer: h**(-141\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -238495.6553 take away 6?\nAnswer: -238501.6553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 454122853*i**2 - 11778141 wrt i.\nAnswer: 908245706*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(5*g**4 - g**4 - 6*g**4) + 396*g**2 - 396*g**2 + 2082*g**4.\nAnswer: 2080*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s + 3. Let o(g) = -23*g - 66 + 31 + 17. Determine 6*o(v) + 34*u(v).\nAnswer: -2*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04205814031 rounded to 6 dps?\nAnswer: 0.042058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzppzyyyyyyyyypp. Give prob of picking 2 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnfccfeffef. Give prob of sequence ec.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -38. Suppose 0 = -3*d + q*d - 5. Let j = 1 + -4. Put j, d, 0.3 in descending order.\nAnswer: d, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12*f**2 + 24. Let t(l) = -131*l**2 - 270. Let a(q) = -45*c(q) - 4*t(q). Let g(z) be the first derivative of -3*z**2\/2 + 1. Give a(g(d)).\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815127.\nAnswer: 3, 167, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31690.2*-0.3.\nAnswer: 9507.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 9*l**2 + 10*l - 15. Let g be a(6). Let r = 379 - g. List the prime factors of r.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 12*b - 5. Let i be k(-7). What is the highest common factor of i and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqtqttqq. What is prob of picking 4 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 2 - 8*k - 2.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 1\/20*p**5 + 0*p**2 + 0*p**4 + 5\/6*p**3 + 0 - p. What is the second derivative of h(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 0*o - 2*o + 4*o. Let s(y) = 4*y - 3*y - 4*y. What is p(s(g))?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 + 4 - s**2 + s - 2*s**2 - 1. What are the prime factors of o(3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99000 divided by 30\nAnswer: -3300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130\/3 + -42. Let a = 258.4 + -258. What is the second smallest value in k, a, 2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -2*1 + 2. Suppose 4*s - 3*p = -1, 5*s + p = -q*p - 8. List the prime factors of 1 + 6 - (s + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 98.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.408 - -3.808. Let a = -3356 + 3352.5784. Let j = a + m. Round j to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 12:01 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15162986 by 4.\nAnswer: -7581493\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442300, 442309, 442320, 442333?\nAnswer: 442348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1150, 4478, 9994, 17698, 27590, 39670?\n\"Answer: 1094*d**2 + 46*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 137906*-0.2\nAnswer: -27581.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 711 - 647. Solve m*a - 73*a = -9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0*h**4 - 1\/3*h**3 + 0 - 37*h - 1\/10*h**5 - 17\/120*h**6 + h**2. What is the third derivative of u(s) wrt s?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p*p\/p**1*p*p*p)\/p)\/p*p*(p\/(p\/p**(-4)))\/p)\/(p\/(p\/p**(-2\/3)))**(3\/5) assuming p is positive.\nAnswer: p**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.4. Let x = y - -0.4. Let m be (-8)\/(-64)*(-1 - -2 - 7). Which is the second biggest value? (a) m (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y = 35*y + 48 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 5 in decreasing order.\nAnswer: 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**4\/54 + 8*x**3\/3 - 144*x**2 + 8*x + 12. Solve y(f) = 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 193*l + 21252. Calculate p(-110).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3324860 to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -5554933\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 32 + (-308 - -301) - (9 - -3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 434 - 433.124. Let l = t - 1.19. What is l rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2924374395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5944509 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**2 + 638333570*x = 0. Calculate x.\nAnswer: -127666714, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3029*p + 2 - 4202*p + 100*p**2 + 28491*p.\nAnswer: 100*p**2 + 21260*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -t - 2*t. Is -2 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -73*z**2. Let v(y) = 4*y + 3. Let n(s) = -7*s - 5. Let a(g) = 3*n(g) + 5*v(g). Calculate c(a(w)).\nAnswer: -73*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8704 - 8697. Let q be (1*19)\/((-1)\/(-2)). Let h(z) = -35 - 3*z**2 + 8*z**2 - 4*z**2 - r*z + q. Determine h(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 2*n + 11. Give y(-5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b + 34937 + 88711 = 0. Is b a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*t**4*u - 32408*t*u + 425235*u wrt t.\nAnswer: -8*t**3*u - 32408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 324, 1290, 2900, 5154, 8052?\n\"Answer: 322*i**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 10390241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 7*h + h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 6:08 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 315 + -43532601?\nAnswer: -43532253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Suppose f = l - 1. Suppose 2*a - 5*j = 6*a - 13, 3*j - f = a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -573*g + 579*g - 288. Let p = 56 + 12. Let n = p - g. What is the greatest common factor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50576, -101112, -151648, -202184, -252720, -303256?\n\"Answer: -50536*y - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, k: 4, q: 6}. What is prob of picking 2 y?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59*d**2 + 14*d**2 - 18*d**2)*(0*d + 2*d + 0*d)*(-5 + 2 + 5) to a*d + i*d**2 + v*d**3 + k and give v.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 1\/270, -1 in ascending order.\nAnswer: -2, -1, 0, 1\/270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 225 - 259.8. Let o = -37053.8724 + 37019. Let q = o - m. What is q rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000045955 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-156368)\/(-1276) + -124)\/((-3)\/11). What is b in 221\/6*b + 1\/6*b**3 + u*b**2 - 289\/3 = 0?\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -3922, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-1) + -5 + 3. Suppose -b = -j*b. Let x(a) = -3*a + b - 1 + a**2 + 2. Determine x(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -6402a8a?\nAnswer: 6402a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68134494 and 228.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-5) + (-992)\/120)*183\/(-122). Suppose h + 105 = 6*h. Suppose -h = 2*k + 5*n, 3*k - n - 15 = -2*k. Solve -5*z + x = 3*v + k, -2*z - 4 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 + 289 - 377 - 2*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/6 + 137*m**2\/6 + 277*m\/6 + 139\/6 = 0. Calculate m.\nAnswer: -1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8954 rounded to the nearest one hundred?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -20*h + 2. Let i(o) = 39*o - 5. What is -2*i(r) - 5*m(r)?\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -50.1. Round i to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - -3) + (-12 - 2) + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5)\/(l\/(l**(-2)*l*l)))**(-28))**(-38) assuming l is positive.\nAnswer: l**(-7448\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(68) + 4) - (-1*(1 + sqrt(68)) - 3*sqrt(68)*3))**2.\nAnswer: -392*sqrt(17) + 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 14360402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 113*j - 227*j + 114*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*u**3 + 89*u**3 - 176*u**3.\nAnswer: 39*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153991 is divided by 13996.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1586 + -1562. Solve -5*t + l = 3*z + 4, -8 = -2*t + z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9022 + -6251. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 2*z. Suppose 1 = -i, -14 = -3*l + i + i. Suppose 3*f + 15 = -v - l, -2*f = -2*v + 2. Sort f, 1, z in ascending order.\nAnswer: f, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 2*i - 161. Let h be 1963\/5 - 7\/((-105)\/6). Suppose -3*z = -i + h. What is z rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(3\/2)*x\/x**(7\/4))\/((x\/x**(1\/18))\/(x**(-1)*x)) assuming x is positive.\nAnswer: x**(-79\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41336 or 51809?\nAnswer: 41336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -13 - (-3 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 2*g - 9. Let x(i) be the first derivative of -i + 59. Calculate a(t) - 6*x(t).\nAnswer: -2*t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -262.7 times -0.13?\nAnswer: 34.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 33\/2*l**2 + 14 - 35*l. What are the prime factors of h(6)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 29*v**3 - 24*v**2 - 62*v - 22. Determine z(-2).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*a = 6. Suppose a*n = 5*n + 4*c + 10, -c = 5. Suppose 457*q = 452*q - 5*g - 95, -19 = -2*q + g. Put n, 4, q in decreasing order.\nAnswer: n, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - 55. Let d(m) = 6 + 59*m**2 - 30*m**2 - 6 - 31*m**2. Give g(d(f)).\nAnswer: 6*f**2 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30736.7 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402*m - 137*m = 20482. Put 0, -19, 5, m in ascending order.\nAnswer: m, -19, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3*sqrt(468))**2 + sqrt(468) - sqrt(468)) + -5.\nAnswer: 4202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d - 3*d)*(d**2 + 2*d - 2*d) - d**3 + 2*d**3 + d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7014, 6599, 5908, 4941?\nAnswer: 3698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/57*(-5)\/(20\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311534342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6570 divided by -1.\nAnswer: 6570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 42 = 38. Calculate the highest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z + 4. Let c be i(3). Let p = 16 + c. Suppose x = -4*f + 83 + 38, -p*f + 167 = -4*x. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (73 - (33 + (8 - 23))).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-1)\/c*c**(-1\/8)*((((c*c**(2\/9))\/c)\/c)\/c)**(-38)*(((c**(-4\/9)\/c)\/c)\/(c\/c**(1\/2)))**(-16) assuming c is positive.\nAnswer: c**(2725\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1977\/2636)\/((-3)\/26)*-10?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 3) + (-12 + 11 - -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/5 + 18218698*q\/5 = 0. Calculate q.\nAnswer: -9109349, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 8800.\nAnswer: 79200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/17 + 205600*a**2\/17 + 1233654*a\/17 + 1850508\/17.\nAnswer: -2*(a - 102806)*(a + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -911 - -1595. Is 57 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -26 + (-2 - -1) + 0. Let r be 6\/i*-3*3. What is the nearest to -1 in -0.1, 1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**2 - x + 14. Suppose -i + 0*i = 0. Suppose i*r = -r + 2. Calculate the smallest common multiple of y(0) and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67 and -4.561.\nAnswer: 305.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14938736776 and -54.\nAnswer: -14938736830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4999216*m**2 - 1188588*m?\nAnswer: 9998432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 3*m + 14. Let s be j(0). Factor -3*w + 45*w**3 - 9*w - 3*w**4 - 36*w**2 - s*w**4 + 5*w**4.\nAnswer: -3*w*(w - 2)**2*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 309518000 to the nearest 1000000.\nAnswer: 310000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -268 - -1123. Calculate the common denominator of 54\/13 and -3 + -2*d\/(-520).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110738515 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/1242 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10318 is divided by 2577.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 9308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200*g + 119*g - 41*g)*(3 - 1 - 3).\nAnswer: -278*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.011 times -0.351715\nAnswer: 0.003868865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 659 + 30*p - 221 - 224 - 215 + 8*p**2 - 2*p**2.\nAnswer: 6*p**2 + 30*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 - 3 + 3 + (0*s**2 + 75*s**2 + 9*s**2)*(-3 + 3 + 2)*(3*s**2 + s**2 - 3*s**2) to the form t + x*s**2 + q*s**4 + i*s**3 + c*s and give q.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/7 (b) 0.1 (c) -1\/2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -320317.4 * 19.\nAnswer: -6086030.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*8\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 5364959 in increasing order.\nAnswer: -6, -2, 5364959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 210411?\nAnswer: 210443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 6*l - 45 = 25 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 18*p**2 - 10*p + 9. Let d(a) = a**2 - 3*a + 2. Let j(x) = -4*d(x) + l(x). Determine j(2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 9. Let h(q) = -8*q + 19. Let x(b) = b. Let k(r) = h(r) + 6*x(r). What is -5*f(t) - 2*k(t)?\nAnswer: -t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1035, 2075, 3133, 4215, 5327, 6475?\nAnswer: 7665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*j = -31, 0 = -136*j + 135*j - 8. Let f = 2.94 - -0.06. Which is the closest to m? (a) f (b) 0.3 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*t - 2*f - 22, 0 = -4*t - 2*f. Suppose 0 = t*v - 1318 + 8818. Round v to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7816942260?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.91 times -83.75?\nAnswer: 578.7125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*w**2 - 86 wrt w?\nAnswer: 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -792.\nAnswer: -5\/792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8480083 is divided by 10748.\nAnswer: 10659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8572\/23, 33\/10 in decreasing order.\nAnswer: 33\/10, 1, -8572\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Suppose -85 = -c*l - 3*f, 0 = 3*l - 0*l + 4*f - 62. What is the highest common divisor of 110 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 57. Solve 0 = -w*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 253 and 19127?\nAnswer: 18874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-11) - (-1 + 1 + -1316). Let b be p\/6 + 14\/21. Calculate the greatest common divisor of b and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, i: 1, h: 5}. What is prob of picking 2 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -353 + 351 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -1\/4 (c) -3\/2 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10117 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/2 (b) -2 (c) -48 (d) -9\/5 (e) 1 (f) -67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 63*l - 14 = 66*l, -23 = -35*b - 3*l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3004344 and 189.\nAnswer: 3004344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6408 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2\/8 + 141*j\/4 - 69 = 0. What is j?\nAnswer: 2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31211 - -4?\nAnswer: -31202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440337 is divided by 814?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 0*k**3 + 0 + 365*k - 363*k + 1 + k**3. Calculate m(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/7 + 28917190*v\/7 = 0.\nAnswer: 0, 14458595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-6)\/3)*-324. Let n = l - 647\/2. Suppose -w - n - 1\/2*w**2 = 0. What is w?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (350\/(-75) + -27)\/((-13)\/(-39)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 3*k - 3*k)*((4 - 1 - 9)*(3 - 5 + 4) - 3 - 22 - 6).\nAnswer: 258*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 e, and 1 k when three letters picked without replacement from {h: 1, c: 3, e: 1, k: 2, l: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 274877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 4. Let p be o(4). Suppose 0 = -p*i + i + 12. Put -1, 3, i, 1 in ascending order.\nAnswer: -1, 1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441685.\nAnswer: 5, 88337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f. Let r = -75 + 77. Let m = -2 - -3. Let u(g) = 10*g + 1 + m - 1. What is r*u(x) - 22*c(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(1\/6)*i)\/i)\/(i\/((i**(3\/7)\/i)\/i*i)))**(-2\/7))**7 assuming i is positive.\nAnswer: i**(31\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.36 - 0.04. Let p = 24.12 + -24.22. Suppose -m - 1 + 6 = 0. Which is the third smallest value? (a) o (b) m (c) -3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1714 divide 169158088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, 625, 1908, 3651, 5824, 8397?\nAnswer: 11340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 24 = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + 122. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -46. Suppose -x = -b*x. Which is smaller: -2\/81 or x?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133432 (base 5) to base 13\nAnswer: -2666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1360186 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 6:11 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from xxnnkzkxkkkkx?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10200055 + -30?\nAnswer: 10200025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12128*t + 12128*t - t**2 + 8*t**2 - 4*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 - 14652*y\/5 + 14654\/5.\nAnswer: -2*(y - 1)*(y + 7327)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 7.91.\nAnswer: -7.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 68 + 8. Let k be (4\/h)\/((-1)\/(-45)). Let v = -797 + 995. What is the highest common factor of v and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:11 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50.9 + 56. Let m = -46.745408 - -51.8454. Let a = m - c. What is a rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 11:28 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20201330 (base 4) to base 2.\nAnswer: -1000100001111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 7 = 5*w - 0 + 13, 0 = -3*i - 12*w - 51 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351)\/sqrt(81))\/(sqrt(3)*2*-5) - ((5*sqrt(104)*1)\/(sqrt(88)\/sqrt(176)))**2.\nAnswer: -5200 - sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 - (-9 + -35401 - 10). Round w to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 12*r**2 + 10*r - 18. Suppose -3*j + 9*l - 7*l = -29, 0 = -3*j - 5*l + 1. What is the units digit of v(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**3 - 54*p**2 + 43*p + 34. Calculate j(8).\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 6. Let o(n) = n - 1. Let a(z) = -17*z - 3 + 7 - z**2 + 6. Let t(d) = -a(d) - 4*o(d). Let r be t(-13). Give v(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (11 - (15 + -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 526546936316 + -113?\nAnswer: 526546936203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 33*t - 23 = -x - 14*t, -10 = -2*x + 2*t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14331)\/(-6) - 5) + 9\/6. Suppose -6*s - 1795 = -3*v - 4*s, 4*v - s - b = 0. What are the prime factors of v?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 706892, 1413753, 2120616, 2827481, 3534348, 4241217?\n\"Answer: v**2 + 706858*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from oqqqooqoqqooooqqqqoq.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 8*r**2 - 2*r - 8. What are the prime factors of z(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.065076539 and -0.4?\nAnswer: -0.0260306156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(162) - sqrt(33) - (sqrt(396)*3)\/sqrt(12))\/(6*((sqrt(11) - (sqrt(77) + -2*sqrt(77))\/sqrt(7)) + -1*sqrt(396) + sqrt(396))).\nAnswer: -35*sqrt(3)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5224\/(-3918)*12\/1816.\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 - 30*n**2 - 92*n. Let s be z(-10). What is the greatest common divisor of 345 and s?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 24*o**2 - 17*o - 75. Suppose 3*j = -2*j + 110. What is the remainder when v(23) is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-355)\/560 + 24\/(-126)*-3?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1788864 is divided by 845.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 2*i**2 + 9 - 8 - 17.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.034*56.\nAnswer: 1.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 32*f**2 + 300*f + 603. Calculate k(-2).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 - 420144*s\/5 - 420146\/5.\nAnswer: 2*(s - 210073)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -141877 (base 9) to base 8\nAnswer: -251324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337283 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 14*l = 60. Let n = l - -49. Suppose 38*z = n*z + 108. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11576099204632 - -11576045361531.000194. Let i = u + 53843041. Let g = i + 60. What is g rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 171195 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471571440 is divided by 6039?\nAnswer: 6037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548404?\nAnswer: 2, 71, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -7. Suppose x*z + 16 = 3*z - 4*h, -3*h = 3*z - 30. List the prime factors of z\/(-48) + (-38)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by -98\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -370.6 - 15.4. Let r = a - -386.01. Let g be (-2)\/8*-2*3. Put r, g, -1 in increasing order.\nAnswer: -1, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 31 + m - 17)*(-2*m**3 + 0 + 0 + (3*m - 2*m - 3*m)*(5*m**2 - 5*m**2 - 2*m**2)) as o + v*m**3 + h*m**2 + j*m**4 + a*m and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 2 + 2 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**21\/k))\/k)\/(k**20*k))**(-33) assuming k is positive.\nAnswer: k**1353","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -39671, -16, 0 in descending order.\nAnswer: 6, 0, -16, -39671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340250 divided by 46805?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1370 + 1500. What is the greatest common divisor of f and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/25 (b) 15 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 536.02 - 536. Let k be (-1 + 1)*(-3)\/6. Suppose -u = -v + 4, -2 = -2*u - 0. What is the closest to k in v, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = 6 + 48. Put 2, t, -3 in descending order.\nAnswer: 2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -263 - -991696?\nAnswer: 991433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, j: 6, f: 3, m: 4}. What is prob of sequence jgfm?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -1 (b) -1\/4 (c) -4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (920\/(-120))\/(92\/(-12)). Solve 0 = 55*u - 52*u - 2*o - j, -3*o = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2412 = 33*v - 42*v. Let d = v + 277. Solve 0 = -d*t - 10 - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15*r - 12*r + 139 - 139. Let a(q) = 779*q**2 - 38*q. Let f(y) = 61*y**2 - 3*y. Let u(h) = 3*a(h) - 38*f(h). Give z(u(w)).\nAnswer: -513*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-564) - (-223740)\/9306.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, n: 8, x: 4}. What is prob of picking 1 n and 1 d?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.32919 to two decimal places.\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -0.49?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225955, -226314, -226659, -226984, -227283?\nAnswer: -227550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) - (-94)\/6. Calculate the remainder when 14 is divided by 4\/(a\/(-10))*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 43 - ((15 - -19) + -31)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 2 - (30 - 32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 477 and 212.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64951\/16 - 4058. Find the common denominator of f and (1206\/(-36))\/((-54)\/2).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+-0.6519102543\nAnswer: 3.3480897457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 12. Solve -f = 3*b + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -2)\/2 - -16546 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/(-91)*9*(-77)\/(-66)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -231203430 and -48448.\nAnswer: -231251878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 192 = 4. Let s = f - 15. Suppose 2*t = -2*p + 34, 3*p - s = p - 5*t. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42238 = 2*y + 37*z - 38*z, 2*y + 3*z = 42246. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-2)*(-7)\/14. Let f be (36\/2)\/(4\/k). Let q be 6*-1 - (-17 + 4 + 10). Sort -5, f, q in increasing order.\nAnswer: -5, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/9 (b) 8 (c) -0.5 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 21*z - 22*z - 3*j, 3*j = 2*z + 18. Let n be (-3)\/z*5\/(25\/60). Sort -1\/4, n, -2, 0.3 in decreasing order.\nAnswer: n, 0.3, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1613726 + 7613732 = 2*u - 3*f, -u + 2*f = -3000004. What is u rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b. Let s(l) = l - 1. Let r(o) = -2*o + 5. Let g(n) = r(n) + 5*s(n). What is z(g(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 5:49 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 - 4*q**2 - 6. Let g = 125 + -123. Let m(o) = o**3 - 3*o**2 + o - 5. Let y(i) = g*w(i) - 3*m(i). What is y(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408838827 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from nww?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189*u - 656*u**2 + 188*u - 4 + 117*u**2 - 128*u**2 to m + w*u + i*u**2 and give i.\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(160)*2 - sqrt(160))*-6)\/((-2*sqrt(200))\/sqrt(10)).\nAnswer: -66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222 - 2100000021120?\nAnswer: -2100000020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.377 + 16.477. What is the fourth biggest value in f, -0.3, 2, -1\/7, -3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 251.7 and 5.24?\nAnswer: 1318.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6840 in -31, -1, 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8. Let k(t) be the first derivative of -t**3\/3 - 41*t + 7. Let y(m) = -2*k(m) + 11*x(m). Differentiate y(l) wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z, 3*s - 5*s = z. Suppose i - 13*i + 720 = s. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -4\/5 (b) -2\/9 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 545050 + -5?\nAnswer: 545041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*j**2*v + 341650306*j**2 - 66356847*v with respect to v.\nAnswer: 6*j**2 - 66356847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171*k**5 + 302060*k**4 - 58515201*k wrt k.\nAnswer: -3420*k**3 + 3624720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 25\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*q + 4 + (-3 - 2 + 4)*(0*q - 2*q - 3*q) + (-1 + 0 - 1)*(1 - 2 - 1)*(2*q + 2*q - 3*q)*(1 - 4 + 1))*(11 - 11 + 14*q)*(-8 + 13 + 6).\nAnswer: -770*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.08765 to zero decimal places.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.90438 times -0.4?\nAnswer: 4.361752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2 - 27*z + 100. Calculate the lowest common multiple of j(-8) and 624.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 0 + 24\/4. Suppose 3*x = 5*x + 5*m - 107, 0 = -a*x - 5*m + 239. What is the greatest common factor of 44 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11897496 to the nearest integer?\nAnswer: 3449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*l + 8, -2*l + 6 = l + 3*z. Let b be 9\/2 + (-9)\/18. Solve -b*q + l*q = -20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-143412)\/190)\/(-4 - (-557)\/140)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3\/2 - 93*p**2 - 3555*p\/2 - 10800 = 0 for p.\nAnswer: -32, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -423*r - 1. Let b be s(-1). Let v = b - 3794\/9. Put v, 2, 6\/11 in descending order.\nAnswer: 2, 6\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3da6 - -4?\nAnswer: -3da2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66075838.\nAnswer: 2, 17, 149, 13043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 24*t**2 + 1. Let f be g(1). Suppose 4*c - f = 43. Solve -3*a - 4*l - 1 = 0, 0*a + 3*l = a - c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228\/171*3\/(-30)*-3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/18)\/((-33)\/18).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**3 + 2*o**2 - 15*o - 4. Let x(q) = -q**3 - q**2 - q. Let l(r) = 2*x(r) + y(r). Let w(h) = 2*h**3 - 8*h - 2. What is 6*l(i) - 13*w(i)?\nAnswer: -2*i**3 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 7 + 18. Suppose -16 = -5*m + m. Suppose 3 = 2*n + b, -3*b = -m*n - 8*b - 9. Solve n*a - g = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/9 + 5 + -7 + (-12)\/(-18). Let k(b) = -25*b**3 + 4*b**2 + 4*b - 4. Let z(t) = 924*t**3 - 147*t**2 - 147*t + 147. Determine p*z(r) - 147*k(r).\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = 0. Suppose -20 = -0*m - 5*m + c, 5*m - 2*c - 20 = h. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*l - 8 = 0, 2*m - 10 = 4*m - 5*l. Is 1\/80 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12233707 to the nearest integer?\nAnswer: 3498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 6:48 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/(2\/1 - 1). Suppose 23*b + 20 = 27*b, 4*b - 660 = -5*d. What is the greatest common factor of i and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 - z**2 + 0*z**2 + (-z - 4*z + 3*z)*(55 - 55 - 4*z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, 2467\/4, 15?\nAnswer: 2467\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:06 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-1 + 1 + 3). Suppose 2*c + 4*j - 4 = 0, c - 5*c - 4*j = -8. Suppose -4*r + 2*q = -c - 12, -5*r - 4*q - 15 = 0. Sort n, 5, r in descending order.\nAnswer: 5, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119072.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9144612 and 163380?\nAnswer: 4668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128359944 is divided by 1573.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1175 + -747. Suppose 3*k - 1229 = 2*j - w, 0 = -2*k + 2*j + 536. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) -2\/27 (c) -2\/13 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35)\/(-21)*3*1. Suppose 1 = -i*v + 11. Suppose -v*n - 635 = -7*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.055? (a) 0.7 (b) -1 (c) 0.1 (d) -188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 103\/6*b**6 + 0*b + 0*b**4 + 12 - 1\/5*b**5 + 0*b**2 - 146\/3*b**3. Find the third derivative of w(n) wrt n.\nAnswer: 6180*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*m - 4*p - 38, -2*m + 535*p = 537*p + 26 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3336190 and 502430214.\nAnswer: 2512151070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3325\/99 + -344\/9. Let y = 523\/9 - 169\/3. What is the common denominator of y and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (-26 - (37 + -54))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1111 and 2323.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*v + 60, 7*v + 54 = 2*x + 2*v. Calculate the greatest common factor of x and 2312.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 923 + 170*c + 358*c - 2*c**3 - 347 + 3*c**3 - 12*c**2 - 35*c**2.\nAnswer: (c - 24)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 350274664464.9 and 65.\nAnswer: 350274664529.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2329950.\nAnswer: 2, 3, 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, 55788.73, 0.4?\nAnswer: 55788.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10241*z**2 + 15945*z**2 + 5391*z**2 to l*z**2 + n + b*z and give l.\nAnswer: 11095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) - (-414)\/27. Let u = f + 8. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.29 in -0.028, -2\/17, 1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3244*i - 1388377. Calculate l(428).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*c**2 - 11*c**2 + 18*c**2)*(c**2 - 4*c**2 + 15*c**2) - c**4 + c**4 - 2*c**4 as g*c**3 + n*c + d*c**2 + a*c**4 + i and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -303\/7 + 43. Let f = -465162 - -465161.9. Let d = -2.4 + 0.4. What is the closest to f in d, -4\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*a - 208, 4*a - 3*w + 416 = w. Let v = a + 106. Factor 0*g**v + 2\/3 + 4\/3*g - 4\/3*g**3 - 2\/3*g**4.\nAnswer: -2*(g - 1)*(g + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z - 1. Let c be k(-1). Suppose 4*l = -3*n - 13 + 77, -4*n + 48 = c*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 15 = -209. Suppose 4*i - u = -2*l, 5*l = 4*i - 0*l - 14. Suppose -i*x + 762 - 192 = 0. Calculate the remainder when x is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6da66 + 72d?\nAnswer: 70395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - h - 5*h + (-25 + 25 + 8*h)*(29 - 16 - 16).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1416, 2811, 4214, 5625, 7044, 8471?\nAnswer: 9906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {o: 1, j: 2, m: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -160*s - 17. Let n(w) = -32*w - 3. Give 2*m(j) - 11*n(j).\nAnswer: 32*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3*j**2 + 42058431*d**3*j + 2*d**2*j**2 + 2084298*j**2 wrt j.\nAnswer: 6*d**3 + 4*d**2 + 4168596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8243.04 to the nearest 10.\nAnswer: 8240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w - 4*l + 1 = 0, 2 = -2*l. Let v be w\/3*18\/6. Factor 61*o**3 - 37*o**3 - v - 1 + 26*o**2.\nAnswer: 2*(o + 1)*(3*o + 1)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 104047*r + 104047*r.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-93)\/(-30)*4\/(-2). Let c = w - -653\/90. Calculate the common denominator of ((-4)\/(-6))\/((-100)\/(-1545)) and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(84)\/sqrt(3))**2 + (sqrt(7) - (sqrt(7) + -1 + -3) - sqrt(7))**2.\nAnswer: -7*sqrt(7) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5 + 492*l**4 - 1893*l**3 - 4368*l**2 + 7620*l + 9600 = 0. Calculate l.\nAnswer: -2, -1, 2, 5, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(39\/6)*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**5\/90 - v**4 + 36*v**3 - 19*v**2. Factor m(y).\nAnswer: 2*(y - 18)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2 - 7. Let n(b) be the third derivative of -b**5\/10 - 4*b**3\/3 + 25*b**2 - b. What is -4*n(j) + 5*w(j)?\nAnswer: -j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 7*g**2 - 10*g**3.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8328807139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 9*p**2 + 4*p + 5. Is b(9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(539) + 2 - 2*(2 + sqrt(539)))**2 + (sqrt(539) + -2 + ((sqrt(539) + 2)**2 - sqrt(539)) - sqrt(539)) + 4*(sqrt(539) + 2)**2.\nAnswer: 161*sqrt(11) + 3256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(-4)\/40*-674. Does 28 divide (0 - -5)*s\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17*u. Let r(z) = -11*z. Give -5*o(b) - 7*r(b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.06 and -0.169?\nAnswer: 0.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16587072 a multiple of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c - 2*c - 2 + 2 + c + (2*c - c - 2*c)*(-1 + 5 - 2) + (-4 + 3 + 3)*(0*c - c + 2*c))*(2*c - 3*c + 0*c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*w = 120*w - 651*w - 9585 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 m, and 1 g when three letters picked without replacement from unmvgnmj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + sqrt(76)) - (0 + (sqrt(76) - 2*sqrt(76))))**2.\nAnswer: -96*sqrt(19) + 748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7923333197 to the nearest integer?\nAnswer: 1994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-20)*-4)\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 1\/2*o**4 + 0*o**3 + 15 + 0*o + 3*o**2. Find the second derivative of j(f) wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(9)\/(sqrt(3) - 3*sqrt(12)\/sqrt(4)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42716.48 kilometers in nanometers?\nAnswer: 42716480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 - 31 - 19 - l)*(0*l - 9*l + 0*l) in the form h*l**2 + u + q*l and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 24. Let t be ((-252)\/(-35) - 6)\/(3\/m). Suppose 864 = 4*g - t. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 - 2*i**3 - 3*i**3 - 10*i**2 + 2*i**2 in the form l + s*i + t*i**2 + a*i**3 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293 - 0. What are the prime factors of g?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*d + 58 - 13, 3*d = -2*o - 50. Sort 3, 1, 4, d in descending order.\nAnswer: 4, 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s - s)*(-6794*s**3 - 3534*s**3 - 9576*s**3 - 3568*s**3 + 5715*s**3).\nAnswer: 17757*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 8062284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19680 and 445536.\nAnswer: 91334880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5431 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 2*k**2 - 4*k - 2. Let d(s) = s**3 - s**2 - 5*s - 3. Let x(g) = 5*b(g) - 4*d(g). Calculate x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 604905 and 75?\nAnswer: 3024525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.471 rounded to 0 decimal places?\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 623 - i - 91 - 4*i**2 + i**2 + 307.\nAnswer: -3*i**2 - i + 834","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75183, -75248, -75313, -75378, -75443?\n\"Answer: -65*d - 75118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2800)*2 - ((sqrt(3388) - -1*sqrt(3388)) + sqrt(3388)))\/(4*(sqrt(24)\/(sqrt(6) - sqrt(6)*2) - sqrt(4))) + 4 + -4.\nAnswer: -65*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 383 - 1921\/5. Suppose -7*w - 48 = -34. Which is the closest to 0.4? (a) w (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1670*z**3 + 491*z**2 wrt z.\nAnswer: -10020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/45*(-1078821)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 312.523 centimeters?\nAnswer: 3.12523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 12, 2*i = -4*t + 6*t + 24. Suppose 17*w - 96 = 5*w. Calculate the highest common divisor of i and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 30123?\nAnswer: -30121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -581 or -2712?\nAnswer: -581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -363, -1456, -3275, -5820?\n\"Answer: -363*o**2 - 4*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 14153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224 - -127. Suppose 0 = 2*j + 399 - 19. Let x = d - j. What is the remainder when x is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4149324 is divided by 269.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((150\/(-225))\/((-16)\/153))\/((-36)\/(-16))?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**8*q*q**7*(q\/q**(1\/2))\/(((((q\/(q*(q*q\/(q*(q*q\/((q*q**(-14))\/q))\/q)*q)\/q))\/q)\/q)\/q)\/q) assuming q is positive.\nAnswer: q**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2177020 divided by -646?\nAnswer: 3370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 6973.2.\nAnswer: 2091.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1868, 27 in ascending order.\nAnswer: -2, 27, 1868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*i + 4, 8*i - 4*i + 2*a = 34. Let c be (20\/15)\/(4\/i). Suppose -c + 12 = 2*j. Solve 7*n + j = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 15*v**2 - 29*v - 37. Suppose -h = -18*h + 289. Let l be k(h). What is the greatest common divisor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 + (-49)\/(-4). Suppose 5*g - 13 = l. Let j(x) = -6*x - 1. Let u(q) = 5*q + 1. Calculate g*u(d) + 4*j(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 10*j**2 - 4 + j**2 + 214*j.\nAnswer: -10*j**2 + 214*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2\/3 + 3096844*k\/3 - 6193672\/3 = 0. Calculate k.\nAnswer: 2, 774209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*b = -m + 18, 2*m + 5*b + 12 = 0. Let c = -14 - -95. What are the prime factors of 3\/m - c\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 0*l - 1\/12*l**5 + 0 + 1\/120*l**6 - 7\/6*l**3 + 3*l**2 - 5\/24*l**4. What is u(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2020011 (base 3) to base 15\nAnswer: -734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 - 78*r + 58. Let c be u(40). Calculate the greatest common divisor of c and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58, 91, 142, 211, 298, 403, 526?\n\"Answer: 9*f**2 + 6*f + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 451506 smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 264653.7?\nAnswer: 264653.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/13651 and -26\/13651.\nAnswer: 13651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 276*h**3 - 132*h**3 + 3 - 145*h**3 - 498*h**2 - 3*h - 5 to the form w*h**3 + z + j*h + x*h**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29\/4 + 8. Let p = 14.7 + -15. What is the nearest to p in 2, w, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/10 - (-2)\/5. Suppose 0*a = a, -t - a + r = 0. Suppose -m = -3*l - l + 74, 0 = -t*l + m + 38. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*12\/4*41*63\/(67158\/52).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171407438 and 610?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 15. Let y be o(-12). Let w = -3 + y. Let k = -2 + w. Is k equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (-244)\/(-64))\/((-126)\/28)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 47*f**2 + 10*f. Let w be n(-2). Suppose -w = -o + 3*z, -12*o = -9*o + z - 504. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10327, -20061, -29199, -37741?\nAnswer: -45687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttmtmnmnnntntnmmtmt. What is prob of sequence nntn?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172531564 and 8?\nAnswer: 345063128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 214079 - 214054 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - f = 47, -5*f + 6*f = -2*d + 79. Is 42 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15859 is divided by 4532?\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1609*f - 936*f - 255*f - 109200 = 0 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 8 = 13, -2*f + 5*t + 11 = 0. Suppose 3*i - 19 = -a + 14, -44 = -4*i - 2*a. Find the common denominator of -59\/10 and ((-2)\/f)\/(i\/77).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 6*m**2 - m. Let c be d(-6). Suppose -4*f + 11 = 3*t, -2*f + 2 = 2*t - 4. Let u(w) = -3 + 7*w + 4 - w**2 - t - 3. Give u(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 60. Give v(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 2*n + 2. Let d be q(5). Let p be d\/4*-4*(1 + -2). Let i(g) = -g**3 - p*g + 0 + 18*g - g**2 + 1. Determine i(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, -11, 1 in decreasing order.\nAnswer: 4, 1, 0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2136288 and 8976?\nAnswer: 2136288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 12:26 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let f(j) = -138*j. Determine n(f(g)).\nAnswer: 19044*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68.245833 + -68.145. Let j = i - 0.1011. What is j rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 1. Let y be c(4). Let f(w) be the third derivative of -1\/210*w**7 + 0*w**6 - 2*w**2 + 1\/60*w**y + 0*w**3 + 0 + 0*w + 0*w**4. Factor f(v).\nAnswer: -v**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*r**4 + r + 23*r**4 - 6*r + 4*r + 4*r**2 + 28 to the form t*r + o*r**4 + d*r**3 + w + a*r**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 446 in 1\/28, 1, -2, -176?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(405) + sqrt(405)*2)*2 - sqrt(405)) - (-3*2*-3*sqrt(405))**2.\nAnswer: -131220 - 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 2065?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/176 and 97\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*5.77\nAnswer: 5.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 389*c**2*i**2 - 274*c**2*i + 407*c*i**2 - 122*c + 3*i**2 wrt i.\nAnswer: 778*c**2 + 814*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 14*y - 4. Let x be q(10). Let o = -15 + x. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5 - 103*x**4 - 531*x**3 - 965*x**2 - 754*x - 216 = 0. What is x?\nAnswer: -2, -1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.07 - -0.83. Let p = m + -14. What is the third biggest value in 2\/3, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 7 = -40*z + 425 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**6\/15 - x**3\/2 - 4*x. What is the second derivative of q(k) wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 126, 90, 28, -66, -198, -374, -600, -882?\n\"Answer: -d**3 - 7*d**2 - 8*d + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91.053 + -1.753. Let k = -90 + s. Suppose 5*j - 3*t - 9 = -49, -j - t = 0. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-34)\/4)\/(1\/(-2)). Solve j = -5*f + 2*j - z, -2*f - j - 11 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-10))\/(192\/(-80))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10795, -21591, -32387, -43183, -53979, -64775?\nAnswer: -75571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - 0 - -1) + -1748 + 1752?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/265434 and 3\/1148.\nAnswer: 3716076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15456)\/378)\/(-92)*21\/4.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4135 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 22.7. Let l = -12 + p. What is l rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2726 and 6?\nAnswer: 8178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886423 is divided by 29547?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -139*q + 1080 - 5945 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 18*v**2 - 97*v + 1751. Determine g(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i - 0*i + 3*g, -3*i = g + 17. Let n(x) = -x**3 - 5*x**2 - x + 7. Give n(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 + j)*(-2*j + j + 3*j) - j**2 - 10*j**2 - 14*j**2)*(11*j**2 - 12*j + 12*j) in the form y*j**4 + g*j**3 + w + l*j + b*j**2 and give y.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -819 - -821. Calculate the lowest common multiple of p and -3 + 1 - (-459 - 4 - 7).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 1, d: 1, l: 1, j: 3}. What is prob of sequence jw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.1 + 0.2. Let r = -5 + y. What is the second smallest value in 0.4, 1, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 1. Let m be (50\/15)\/(-5)*-6. Let d(b) = 2*b**2 + 4*b - 4. What is m*s(y) - d(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -67*w**2 - 60*w**2 - 67*w**2 + 254*w**2 + 1 - 63*w**2. Let c(u) = -u**2 + 4*u - 2. Let p be c(3). Let k = p - 2. What is s(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 72. Calculate the greatest common divisor of i and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3240.3969 seconds to hours.\nAnswer: 0.90011025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -64\/3, -3\/7, -1 in descending order.\nAnswer: -3\/7, -1, -64\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-78))\/((-2)\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 237*o - 1277 - 549 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1530*v + 371*v = 26657 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -2*o - 2, -7*o - 49 = -3*o - 5*j for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 161911699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 3*f + 4*f)*(1 + 2 - 5)*(-15*f**3 - 4*f**3 - f**3).\nAnswer: -80*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*b + 17*b**3 + 102*b)*(-3 + 7 - 3).\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -27. Suppose -m + a + 4 = 0. Let l be 2*1*10\/(-15)*-3. Solve l*j - t = -j + m, 0 = -3*j - 5*t + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.5 (c) -0.4 (d) 0.3 (e) 3115\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-880)\/(-448) - 27\/12. Sort 2, n, 0.1, 63 in decreasing order.\nAnswer: 63, 2, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4338*j - 1795928. Calculate m(414).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 5*y + 4. Let r be g(-5). Suppose r*t - 10 = 6, 11 = v + 3*t. Let l = 6 + -11. Sort -4, v, l in decreasing order.\nAnswer: v, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6305 and 6687083?\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 942625*v**3*z + 3*v**2*z - 3*v**2 + 4*v*z - 17*v + 18*z wrt v.\nAnswer: 5655750*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5559 and 20387454.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184191663 less than 9.42?\nAnswer: -184191653.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1033179093 and 342.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-15)*50\/30. Sort q, -5, 17, 54, 0 in ascending order.\nAnswer: -5, q, 0, 17, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 4, o: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-1819)\/(-102))\/107)\/(2\/(-20)))\/((-6)\/(-108))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11602024 is divided by 712?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-18 - -3)*(-4)\/(-42)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 2:01 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/(2\/(66\/(-11)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 121991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.20715 + -0.16253. Round m to three decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -11) + -12 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 2*g + 159 - 169, p - 3*g = -5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.087435009 less than -0.6?\nAnswer: -0.512564991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*x + 664*x - 332*x + 3*x**3 - 7*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 156 divided by -437\nAnswer: -156\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 112108542 divided by 26\nAnswer: 4311867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6*-42\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwiwwwwwwwwww. What is prob of picking 2 w?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -99340525441526 and -5.\nAnswer: -99340525441531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0396909 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6227.695 micrograms to kilograms.\nAnswer: 0.000006227695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + 3 + 2 + 8\/(-4). Which is smaller: m or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2629.099 decades to centuries.\nAnswer: 262.9099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -s, 0*u - 4*s + 26 = 5*u. Let x(k) = 1 + 0*k**2 - 2 + 3*k + k**3 - 3*k**2. Let q be x(u). Do q and 2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 257 or 2055\/8?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24527, -1.33, 2, -5?\nAnswer: -24527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(684) + 2))**2 + -5*(sqrt(684) + sqrt(684) + 0) + 4.\nAnswer: -444*sqrt(19) + 11012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 194, 196, 198, 200, 202, 204?\n\"Answer: 2*i + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-23)*6)\/((2553\/37)\/(-23))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/14 + 342\/21. Let x be w\/9 + 10\/45. Which is the second smallest value? (a) x (b) 0.3 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 413*1\/(-2))*-2. Let z = 413 + b. Calculate the greatest common factor of 8 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -63\/32057, -4, 2\/5?\nAnswer: -63\/32057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2163)\/(-103) - 3774\/180?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(171\/(-12)))\/(5\/(510\/(-8))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 3*h**2 + 5*h + 6. Let q be c(-4). What is the highest common divisor of q and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 42\/5 of a second?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*-6*(-6*sqrt(242) + 4 + -1 + sqrt(242) + -2)*3)**2.\nAnswer: -1283040*sqrt(2) + 70578864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1373, -1448, -1669, -2108, -2837, -3928?\n\"Answer: -12*p**3 - p**2 + 12*p - 1372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 - 67. Let d(f) = -f**3 - 4*f**2 - 5*f - 3. What is d(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 4*a**2 + 2*a**3 + 0*a**2 - 3*a + 6. Suppose 0 = 5*h + d - 16 - 3, 2*d = 2*h - 10. Determine x(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45263655\/37 or 1223343?\nAnswer: 45263655\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggargaeauhaagahgrehg. Give prob of picking 1 u and 1 h.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2.7 (b) -2\/9 (c) 0.127 (d) 386 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r - 1270. Let g be 4\/12 - r\/(-42). Let d = g + 125\/28. Which is bigger: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u**2 + 11*u - 1. Give l(3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 - 8 - 50*k**2 - 46*k**2 + 88*k**2.\nAnswer: -8*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1.16, -0.1, 0, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 58, 52, 34, -2, -62, -152, -278, -446?\n\"Answer: -v**3 + v + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 41000992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:35 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/(-60)*(-18)\/(-10) + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19162 = 38*l + 808. What is the highest common divisor of 207 and l?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1\/4, -25.8?\nAnswer: -25.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.59 - -0.39. What is the fourth smallest value in -2\/9, s, 2\/23, -13?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-4 - -6) - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t**2 + 239*t**2 - 224*t**2.\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/9*n + 2\/9*n**2 + 8\/9.\nAnswer: 2*(n + 1)*(n + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -16*c. Let h(k) = -767*k. Give -6*h(i) + 286*q(i).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*z - 3*k - 18, 7 = 2*z - 3*k. Let h(r) = -r**2 - 6*r - 10. Let s be h(z). Which is the fourth smallest value? (a) 2\/13 (b) s (c) -0.5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 6:42 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -10095419743?\nAnswer: 10095419742.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - z**3 - 26*z**3 - 12*z**3.\nAnswer: -39*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11899 and 26510809?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -26. Factor -4\/3*y**3 - 2*y**4 - 2\/9*y**2 + r*y - 8\/9*y**5 + 0.\nAnswer: -2*y**2*(y + 1)**2*(4*y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 664012 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517968477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 - 106 - (-1 + 61)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -3*p + 4*h, 53 = 4*p - 5*p - h. Let y = -35 - p. Let o(g) = -2*g**2 + 34*g - 2. Let x be o(y). Let v(f) = -12*f - 3. Calculate v(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 574095574 to the nearest integer?\nAnswer: 23960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - c - 1. Let f(a) = -2*a**2 + 7*a - 3. Let j(p) = f(p) - t(p). Let y be (1\/1 + -9)*627\/(-44). Suppose 36*s - 102 = y. Calculate j(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 2\/5 (c) -0.031 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5578072067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+107872.010378\nAnswer: 107871.610378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2. Let z(j) = -7*j - 3. Let c(y) = 48*y + 20. Let a(m) = 6*c(m) + 40*z(m). Determine a(h(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y - 5*y)*(y**2 + 0*y**2 + 0*y**2)*(2*y + y - 5*y - 3).\nAnswer: 4*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/((((w\/(w*w**11*w)*w)\/w*w)\/w)\/w*w*w)))\/(w**(-15)\/w))\/(w**(-16)\/(w\/w**0)))**(-4\/7) assuming w is positive.\nAnswer: w**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-13200)\/14400)\/(3\/(-36)*-1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 764878086 to the power of 1\/3, to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**2 - 2*n**2 + 0*n**2)*(746 + 4027 - 895) + 3*n**2 - n**2 - n**2 as i*n**2 + g + c*n and give i.\nAnswer: 3879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 289635 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1198 + 39563\/33. Let s = -3395\/1098 - -9\/61. Calculate the common denominator of z and s.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 17*b**4\/4 + 2*b**3\/3 - b**2\/2 + b + 3820. Suppose 5 = 5*h - 0. What is the remainder when 55 is divided by a(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26350 - (12 - 7 - -1). Suppose 72*z - 64*z = w. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1ba604?\nAnswer: -1ba601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 2 + 71*v**3 - 2*v**4 - 69*v**3 - 2 to the form d + p*v**2 + r*v**4 + j*v + h*v**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110701 - 75973. Let b be (-6)\/10 + s\/30. What is the highest common factor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -486235 by 14.\nAnswer: -486235\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:43 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.5482 rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/(-4) - ((-20)\/32)\/((-10)\/4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 149*j + 2. Let p(d) = 72*d - 1. Let m(a) = -3*f(a) + 7*p(a). Let z(v) = 14*v - 3. Give -6*m(x) + 26*z(x).\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -14*w. Let g(h) = 8*h**2 - 5485*h - 22. Determine y(g(q)).\nAnswer: -112*q**2 + 76790*q + 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1344 - 4725?\nAnswer: -6271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 87841799315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(4\/11)*t**(-6)*(t**(6\/7))**(-42) assuming t is positive.\nAnswer: t**(-455\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbzzzbzbzbbz. What is prob of sequence bb?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/4*-2*(12 - 64).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 2*f + 4. Let m be z(-2). Suppose p = -m*p + 40. Let x = -41\/5 + p. Sort 0.05, x, -3.\nAnswer: -3, x, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + (22 - (77 + 13 - 40)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huy when three letters picked without replacement from {y: 1, u: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 853594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnrnnssrrgngnsrnn. What is prob of picking 1 s and 1 n?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 89*i**3 - 94*i**2 + 11. Let d(y) = -30*y**3 + 31*y**2 - 4. Let h(k) = -11*d(k) - 4*l(k). What is the third derivative of h(q) wrt q?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184 or -2382\/13?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2. Suppose 4*z + 13 - 86 = -5*f, -2*z - 74 = -4*f. Let h(t) be the first derivative of -2 + 8 - 17*t + f*t - 5*t**2. Give h(n(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 t when three letters picked without replacement from {t: 5, q: 4, w: 7, u: 2, r: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -1, -4, 0, -2, -5 in decreasing order.\nAnswer: 30, 0, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53650 and 155585?\nAnswer: 1555850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 12*u + 22. Let s = 2016.029 + -2017. Let q = 0.029 - s. Which is the smallest value? (a) -6 (b) u (c) 0.5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 + 4*n**3 - 2*n**3 + (-17 + 17 + 7*n)*(n - 3*n**2 - n) + (n**2 - 4*n**2 + 4*n**2)*(0 + 0 + 2*n) + 5*n**3 + 0*n**3 - 3*n**3.\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 6. Let n = 113\/156 + -3\/52. Which is the third smallest value? (a) n (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/((-2079)\/44) - 26\/180. Let j(g) be the first derivative of 1\/5*g**3 - 6\/5*g + 11 + c*g**2. Determine z, given that j(z) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1285504478849\/14352 + 89569710. Let x = -2\/897 - r. What is the common denominator of x and -13 + 10 + 226\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/((-16)\/(-160)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6261425147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**4\/12 - s**3\/2 - s**2 + 6*s. Let a be (-25)\/(-1)*6\/(-15). Let f = 13 + a. What is r(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1099866)\/(-970470)*18\/4*-2?\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 at most -1\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -110418?\nAnswer: -11040b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-8))\/((-2)\/(-12))*-8. Let d be (-272)\/10 + (-6)\/(-30). Let q = 69 - d. What is the greatest common divisor of q and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0*f**2 + 0 - 121\/20*f**5 + 0*f**3 + 52*f + 65\/12*f**4. Find the third derivative of m(r) wrt r.\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -92 + -3?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 121507 and 1.\nAnswer: 121507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l*u + 311069124*l + 37662536*u wrt u?\nAnswer: l + 37662536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + -2.5. Let c = -1.83 - 0.17. Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 590.1 - 3599250\nAnswer: -3598659.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 4:25 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1738, -1483, -1064, -475, 290, 1237, 2372, 3701?\n\"Answer: i**3 + 76*i**2 + 20*i - 1835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*r + 8, -2*u - r + 2 = -4. Solve 2*p = -5*o - 2, 6*p - p = u*o + 28 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1454, -5852, -13192, -23480, -36722, -52924?\n\"Answer: -s**3 - 1465*s**2 + 4*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -c8 (base 16) in base 8?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t - 9. Let b = 5 + -3. What is the closest to 0 in -0.3, b, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 72463884?\nAnswer: 21739165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(-68 + -1)\/((-4191)\/(-254))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08 + 11.92. Let d = -7 + n. Which is the closest to 2\/7? (a) 0.1 (b) -1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 9:09 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -76*d + 2. Calculate q(-2).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a4a062 (base 11) to base 7.\nAnswer: 62262624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 22*v + 27. Give s(-14).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52565 - -157696\/3. Let v = 14.4 + -14. Let h = -0.8 - -3.8. Sort h, -2\/15, v, k in decreasing order.\nAnswer: h, v, k, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.99 - 5. Let t be 270\/105 - 8\/14. Let v = -0.14 + 0.04. Which is the nearest to v? (a) k (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*h**3 + 18900*h**2 - 21360*h + 6080 = 0. What is h?\nAnswer: 4\/7, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 - s**3 - 3*s**2 + 3*s**3 + (2*s + 2*s - 6*s)*(73 - 141 + 2*s**2 + 47) to the form w*s**3 + n*s**2 + i + o*s and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132501 is divided by 26500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 281 + -189. What is the remainder when r is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5\/(a**(2\/11)*a*a)*a**(-2\/11)*a*a**(-2)\/a*(a*a**(2\/3))**(-1\/5)\/(a**(2\/15)*a*(a\/(a*a*a**5*a)*a)\/a) assuming a is positive.\nAnswer: a**(1018\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1875, -1971, -2135, -2373, -2691, -3095, -3591, -4185?\nAnswer: -4883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5037 = 706*a - 417*a + 804*a + 66245 for a.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b - 9. Let c = 440 - 458. Let j(x) = x + 2. Calculate c*j(i) - 4*k(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385, -771, -1157, -1543, -1929?\nAnswer: -2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 79 - 62 = 3*h, -t - 2*h = -53. Let i = 221 + t. What is the greatest common factor of i and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 1:11 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4835598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -484204.93463 - -484993.93463189. Let f = g + -789. Round f to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i**2. Let d(y) = -4*y**3 + 3*y**2. Let z = 29 + -28. Determine z*d(v) - 3*u(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 + -136. Let a = s - 218\/3. Which is greater: 3 or a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1817418 + 5?\nAnswer: -1817413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(612\/(-56)))\/(-15*(-21)\/(-567)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23161529 to the power of 1\/2, to the nearest integer?\nAnswer: 4813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 59778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48109096253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (1 + 13 - 22 - -10)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/7)\/(159\/371)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-4))\/((-16)\/192). Suppose -30*l + 480 = -j*l. What is the highest common factor of 208 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + j - 18426, -y - 23*j = -24*j - 6138. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 28456 - 14227 - 14229 - 3*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28991?\nAnswer: 53, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*y + 3*z, 5*z + 25 = 4*y + 4*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 5*x**2 + 7*x + 5. Let w be j(-6). What is the tens digit of (-6)\/(-2)*w - -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2479*t**3 + 4903*t**3 - 2*t**2 - 2455*t**3 + t**4 in the form u*t + h*t**4 + q*t**3 + j*t**2 + g and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418476179?\nAnswer: 11, 37, 109, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4797 - 2778. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-12)*(-2884)\/1545?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 4*k - 26 = -3*b, -2*b + 24 = 4*k. Suppose b*l = -l. Sort 3\/8, l, -0.2 in ascending order.\nAnswer: -0.2, l, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y + 1. Let z be p(-2). Suppose 0 = 5*u + b - 2*b - 21, -5*b = -2*u + 13. Find the third derivative of -u*a**2 - 11 + 11 - z*a**3 wrt a.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -3326\nAnswer: -1\/3326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 188335032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0.5 (b) -1\/2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3467*w + 1731*w + 417 + 1734*w as m*w + g and give g.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 29*z + 2. Let a(s) = 30*s + 1. Let t(i) = 3*a(i) - 4*x(i). List the prime factors of t(-3).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862057929?\nAnswer: 3, 499, 575857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 1. Let g(s) = -s - 1. Let h(n) = -1. Let a(d) = g(d) - 2*h(d). Let i(y) = -y. Let b(z) = a(z) - 2*i(z). What is b(f) - c(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 - (-1)\/(3\/(-9)). What is the second derivative of 24*d**2 - 2 + 3*d - a*d**2 + 2 wrt d?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -7\/2, -28, 4, -14\/9, -5 in increasing order.\nAnswer: -28, -5, -7\/2, -14\/9, -3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/10363?\nAnswer: -1\/10363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1919130 divided by 191913.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -367551, -735103, -1102657, -1470213, -1837771, -2205331, -2572893?\n\"Answer: -m**2 - 367549*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25198572?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 8*w**3 - 220*w**2 + 1210*w - 1554. Let p(j) = -10*j**3 + 220*j**2 - 1211*j + 1547. Let a(m) = -2*p(m) - 3*y(m). Let a(f) = 0. Calculate f.\nAnswer: 2, 4, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356736187 to the power of 1\/3, to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6033.\nAnswer: 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 48 = 7593*j - 7592*j, v - 267 = -8*j for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-7 - 2 - -5) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 784*w + 304*w + 1197*w - 744*w + 1186*w to j*w + c and give j.\nAnswer: 2727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145534142 (base 6) to base 12.\nAnswer: -1044352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 5*k - 7. Give s(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.127 + 0.027. Let d = o + 1.8. Let b be (-3)\/10*6\/(-9). Put b, -4, d in ascending order.\nAnswer: -4, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*f + 4527 = -4395 + 823. What is the remainder when 1448 is divided by f?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 2*t + 0*t. Let j(k) = 2*k - 262 + 262. Calculate r(j(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29875987 is divided by 83.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(102)\/sqrt(6)*-2 + 5 + (sqrt(170) - (-2*sqrt(170) + sqrt(170))*5)\/((sqrt(150)\/sqrt(3) + sqrt(50))\/sqrt(5)).\nAnswer: 5 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, v: 3}. Give prob of sequence yyvy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*c + 3*q + 1515, c - 5*q - 325 = 0. Suppose n = -2*n + c. Let k = -48 + n. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2704 - 2705. Which is the smallest value? (a) -0.7 (b) 6 (c) 5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 12*r + 5. Let f(p) be the first derivative of -3\/2*p**2 + 0*p - r. Let w(x) = -x. What is f(w(j))?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -71576 divided by 1\nAnswer: -71576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154 - 154. Suppose -3*k + 2 = -5*k, 0 = i - 3*k - 14. Let n = i + -10. Which is the closest to n? (a) m (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a - 5. Let l be y(3). Let v be 5\/5 + l + 0. Solve -s = 4*x + v*s - 1, 4*s = -4*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3\/2 - 55*c**2 - 545*c\/2 + 330.\nAnswer: -5*(c - 1)*(c + 11)*(c + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1805471.1 minutes to days.\nAnswer: 1253.799375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**3 - z**2 + 3*z + 2. What is the tens digit of s(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 16?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 + 38. Let l = r + 118. What is the remainder when l is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = q + 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x = 26*x - 32. Let d be (21\/6)\/(2\/12). List the prime factors of d\/12 - 2\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -143985202.\nAnswer: -3\/143985202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1218604, 1218618, 1218636, 1218664, 1218708?\n\"Answer: p**3 - 4*p**2 + 19*p + 1218588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/33))\/(s\/s**(-2\/5)))**(-10\/13) assuming s is positive.\nAnswer: s**(142\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**5\/70 - 365*o**4\/14 + 133225*o**3\/7 - 48627125*o**2\/7 - 553*o. Factor j(g).\nAnswer: 2*(g - 365)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(108) + 3)*3*3 + (((sqrt(108) + -1)*-6)**2 - sqrt(108)) + (-1 + sqrt(108)*-4 + sqrt(108))**2.\nAnswer: -348*sqrt(3) + 4906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r*(r*r**13)\/r)\/r)\/r*r))\/(r**(-6)*r))**(2\/45) assuming r is positive.\nAnswer: r**(-14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12574041 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319 <= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 2 + (-1 - 0). Suppose -65 = -2*g + t. Suppose 0*b - 6 = -2*b. What is the greatest common factor of b and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1363*v - 9022 = 669*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 12*k = 9*k - 101045, -2*k - 80836 = -4*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*y - 8. Let x = y + -4. Suppose -74 + 2 = -x*c. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-1) - (6 + -6)\/2. Let 0*j + 1\/7*j**5 + 1\/7*j**2 - 1\/7*j**4 + n - 1\/7*j**3 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 31 = 25. What is the lowest common multiple of 8\/28 - (-192)\/l and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 413*d**2 + 79706*d - 492. What is i(-193)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d03 - 17?\nAnswer: -2d1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 - 4*a + 2. Suppose -4*u - u + 15 = 0. Let q = 50 - 47. Let v(n) = n + 0*n - 2*n**u + 4*n**q - 3*n**3 - 1. What is -k(g) - 2*v(g)?\nAnswer: -g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29\/9 - 10\/3. Let p = 19343.7 - 19344. What is the smallest value in -4, r, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 3:13 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 344964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfo when three letters picked without replacement from ttzzzfzpzfftzo?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 3*g - 24 - 6, u - 10 = 3*g. Suppose -124 = 4*y + 2*h, 8*y = 10*y + 5*h + 54. List the prime factors of u\/20 + (-4)\/(y\/834).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 0)\/(1\/(-7) - 0). Suppose 14 = -n*y + 21. Let w be (-28)\/(-60)*5 - (1 + y). What is the nearest to -1 in -0.1, -0.6, w?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50550, -50661, -50760, -50841, -50898, -50925, -50916?\nAnswer: -50865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19603221 to the nearest integer?\nAnswer: 4428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38.13 + -36.13. What is the smallest value in -17, l, 4, 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 4 = b + k, 2*b - 8 = k. Suppose -w = b*o - 4*w - 9, -o = w - 4. Suppose -9 = -o*s, 150 = 3*c + 3*s - 8*s. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1030 + 645.369098.\nAnswer: -384.630902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/5 (b) 1 (c) -0.4 (d) -227 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - s**3 - s - 2*s**2 + 2*s**3 + 6*s - 5. What are the prime factors of i(4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 2*j + 7. Suppose 0 = 22*a + 358 - 1656. Suppose 60*c - a*c = -5. Let i(r) = r + 1. What is c*i(h) + m(h)?\nAnswer: -h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 39 = -21 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-476)\/7*-1 - (1513 + -1474)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -529, -512, -493, -472, -449?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1011101 (base 2) to base 6\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**3 - 2*q**2 + q - 2. Let l be g(2). Let y(i) = -2*i. Let j be y(-4). Let t = l - j. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -15, -2*w - 3*j = 2*j - 21. Is 8\/w - (-13 - -3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 452903 and 394?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - (20 + -72)) + -18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43233391 and 2841?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o**2 + 10*o**2 + 6*o**2 - 31*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/151 != 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/3 and (3 - 232\/196) + -2?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**2 + 7*s - 7*s)*(-s**2 - 2*s + 2*s) + (-21*s**3 + 7*s**3 + 9*s**3)*(-5*s + 4*s - s).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 7*d - 5150, r + d = 2531 + 35. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = 3*h - 221. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*z = 5*l + 8, -3*z + 4*l = -14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195996 to the power of 1\/2, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**2 - 910828*p + 11841440 = 0?\nAnswer: -227720, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 933782.58 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(-6*(-3 + sqrt(75))*-5 + 3 + 4) + -3.\nAnswer: -450*sqrt(3) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805 a factor of 22965015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 37*a**2 - 55*a - 51. Give w(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 7*k**2 - 3*k + 63. Calculate the remainder when 963 is divided by b(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 33. Let y = 11 - i. Suppose y = -4*t - 2*t + 90. Solve -5*a = t, 3*d + 2*a = 2*d - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105\/813682 or 1?\nAnswer: 105\/813682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3431 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: Is 29 a factor of 182992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684343 (base 11) to base 5.\nAnswer: 234323133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, d: 9}. Give prob of sequence ddd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16760721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezz when three letters picked without replacement from {w: 3, i: 2, r: 1, z: 7, e: 4}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4 - 9 - 44 + t**2 - 14*t. Let u be v(17). Let m(z) = 0 + 7 - z**2 + 2*z**2 + 6*z. Give m(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b\/b**(8\/9))))\/b)**(1\/3) assuming b is positive.\nAnswer: b**(1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2637 + 4138. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, and 2 i when four letters picked without replacement from nbbbbbbbibiibgbib.\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f + 18. Let j(x) be the third derivative of -x**4\/12 - 11*x**3\/6 + 9*x**2. Let s be j(-5). Sort f, 2, s in decreasing order.\nAnswer: f, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24772092.3 seconds in days?\nAnswer: 286.71403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 7440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.1 minus 10830051?\nAnswer: -10830066.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/51 and 99\/29317282?\nAnswer: 87951846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -17, 2, -0.5, 0, 334?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 3. Let q(c) = 86*c. Let u(j) = -173*j + 3. Let l(a) = 2*q(a) + u(a). Give -4*f(d) + 5*l(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 25051, 8 in decreasing order.\nAnswer: 25051, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(90))\/sqrt(5))\/(sqrt(9) + -3*sqrt(324) + sqrt(9)).\nAnswer: 3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 8459.2?\nAnswer: -33836.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209078?\nAnswer: 2, 107, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3915\/7 + -558. Is 0 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -18*a**2 + 5741*a + 4. Calculate m(319).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 140*l + 6231. What is u(175)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 7:28 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/31 + 55\/372. Let i(t) be the second derivative of 0*t**2 + 4*t + 0 - k*t**4 + 0*t**3. Let j(s) = 2*s. Calculate j(i(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -713, -740, -763, -782, -797?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 91*f - 96*f + 185*f in the form z*f + k and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 2 - 45*h - 4*h)*(2*h**2 + 2*h**2 - 3*h**2).\nAnswer: -42*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2695, 5408, 8121?\n\"Answer: 2713*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 1 + 1 = 0, 3*q = -2*g + 52. Suppose -27*d + q*d - 54 = 0. Let h be -2 - 265200008\/(2 + d). What is h rounded to the nearest one million?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6415000 rounded to the nearest 100000?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*m - 198*m - 369*m - 232*m - 1 + 1835*m - 370*m.\nAnswer: 326*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1693 greater than -1693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -810 + 1066. Calculate the remainder when a is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffhd. What is prob of sequence hf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 5*a + 3. Let v be w(4). Is v + 164 + (2 + -2)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x**2 + 46*x - 5. Let r(n) = 9*n**2 - 46*n + 4. Calculate 5*r(d) + 4*s(d).\nAnswer: d**2 - 46*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*k + 34*k + 8*k + 0 + 12*k + 2 in the form b*k + p and give b.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6827897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1508788 divided by -14.\nAnswer: 754394\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/55*9\/(-594)*11\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 20, -416 in decreasing order.\nAnswer: 20, 6, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2. Let m(y) be the third derivative of -y**4\/24 - 3*y**2. Give p(m(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 11:51 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 10*f**2 + 10*f - 13. Let x(j) = -18*j**2 - 21*j + 26. Let z(b) = -5*o(b) - 3*x(b). Let m(c) = -2*c**2 - 6*c + 6. Give -13*m(p) - 6*z(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5*(-15)\/(-50))\/(12\/472). What is the first derivative of -s*i**2 - 500 + 977 - 498 wrt i?\nAnswer: -118*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/((s*(s*(s\/(s**(2\/19)\/s))\/s)\/s)\/s))\/s)\/(s**(3\/2)\/s))**(-13))**(3\/35) assuming s is positive.\nAnswer: s**(2067\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130656 and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*h - 2*h. Suppose h*v = -p - 4*v - 605, -4*p + v - 2488 = 0. Round p to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 208 + 102 = -25*x, x + g = 34 - 44 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -7. Let m = -12 + u. Let x = -2.2 - -0.2. Which is the third biggest value? (a) m (b) 1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 666 - 282. Suppose 44*k = 40*k + s. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 78?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22281441 - -15922.31\nAnswer: -22265518.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(-n**2 + n**2 - 2*n**2) + (-3*n + 0*n + 4*n)*(113 - 8*n - 113) in the form k*n + m*n**2 + v and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 - 3\/9. Suppose -3 = 3*z - 6*z. Let o = z - l. Which is bigger: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6341178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 1)*(-b + b + 2*b) + (-2*b + 2*b + 2*b)*(1 - 1 + 1) as q + c*b and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u - 64. Let a = 5 - u. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*g - 8997, -2*g = -j - 2*j - 5999. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7226573785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*k + 52*k + 1152 = 0. Is k equal to -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - -16496?\nAnswer: 164a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2\/7 + 765*l\/7 = 0. What is l?\nAnswer: 0, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513702130.\nAnswer: 2, 5, 51370213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 374494378 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (56 + -34) - -50?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.38 - -2.62. Let g(i) = i**3 + 5*i**2 - 7*i - 7. Let p be g(-6). Which is the closest to y? (a) p (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 5*m**2 + 2*m - 5. Let s be p(-4). Solve 20 = -s*i - i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 y, and 2 j when four letters picked without replacement from qiyjiyjyyyymlyy.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4232 - 0.41. What is m rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 116*n**2 - 4*n + 41. Let t(o) = -o**2 - o + 2. Let z(s) = f(s) - 5*t(s). Find the second derivative of z(y) wrt y.\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -180729.3 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 5*b. Let s = -177345 + 177386. Sort b, s, -2 in ascending order.\nAnswer: -2, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (4 + 35)) + -4 + -10?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -657 + 660. Solve -4*i = -1 - u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 6:49 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Suppose -4*w + 6 = -2. Suppose 2*b - 12 = -w*b. What are the prime factors of s(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303850 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 19 = 147. Suppose 90*u + 4 = 86*u - 4*b, 5*b = -2*u + 10. Let f = u + v. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -724*q**3\/3 + 637*q**2 + 1422*q. What is the first derivative of r(m) wrt m?\nAnswer: -1448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130650)\/(-3484))\/((-4)\/((-8)\/(-3)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*w + 2108, 0 = 4*w + 7 + 1. Is 72 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/2 and -20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4491940 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*n**3 + 13*n**3 - 5*n**3)*(3 + 8 - 4 - 3).\nAnswer: 144*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 0 + sqrt(147) - (sqrt(3) + 2*sqrt(108))**2) + 2.\nAnswer: -505 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 4*k - 5. Let a be u(-5). Suppose -5*z + a*z - 121 = -o, -o - 4*z = -112. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 334 + -295. What is the greatest common factor of z and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**6\/120 + l**4\/24 + l**3\/6 + 39*l**2. Let w(q) = -4*q**3 - 4*q - 7. Give 5*a(v) + w(v).\nAnswer: v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938715159.\nAnswer: 3, 19, 379, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4, 5*s - g - 3*g = 24034. Suppose 0 = 5*v + 1190 + s. What is v rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/25 - -29\/50. Let h = 199\/10 - 97\/5. Factor h*v**4 + 0 - k*v - 3\/2*v**3 + 3\/2*v**2.\nAnswer: v*(v - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59258 >= -59255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-1))\/((-2)\/(-62)). Let m = c + 61. Let z be ((-252)\/(-15))\/(9\/m). Calculate the highest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*d**3\/3 + 397*d**2\/6 + 785*d\/6 - 1 = 0. Calculate d.\nAnswer: -1, 3\/394, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 58217485 and 46.3.\nAnswer: 58217531.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 11\/3 + (-14 - -11)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 29. Let k = o + 2.8. Which is greater: k or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 10) in base 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*l + 67*l = 58*l + 3190 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 33*h - 731*h + 752*h.\nAnswer: -12*h - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 658084.3 meters?\nAnswer: 658084300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355 and 2438921.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 5954, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 68*x + 1. Let c(h) = -55*h + 71. Let r(v) = -c(v) - g(v). What is r(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 5:24 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 6*m**2 - 2*m - 9. Let t be s(-6). Solve -t*z = -4*y + 2*z + 15, -2*y - 3*z - 9 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -20. Is 1338\/u + (-3)\/21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.80094 and -20?\nAnswer: -176.0188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73160186?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 6*s - 1. Let b(g) = g + 18. Let a be b(-14). Suppose -4*j + 0*f - a*f = -136, 4*f = 8. Suppose -5*l = 7 - j. Calculate z(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuuprpzupvp. Give prob of picking 1 z and 3 u.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 7*c**2 - 21*c + 16. Let x be i(13). What is the units digit of x\/21 - ((-2)\/(-3) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/3)\/((-2)\/110). Let p = -32 + j. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uabwotbwwbo. Give prob of picking 1 t and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -30. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1*4\/12). Suppose -83 = -l + 3*q, z*l + 2*q = -2*q + 197. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1732*s + 81357. Give r(-47).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*35\/(-84)*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/(-42) - 2\/(-7). Let a(g) be the third derivative of -1\/12*g**4 - w*g**2 + 0 + 0*g + 1\/3*g**3. Differentiate a(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Let n = -129 + 124. Sort 4, n, p in ascending order.\nAnswer: n, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 10*i + 10. Determine b(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -1)\/2 - -16*13\/104?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008272291152 to 6 dps.\nAnswer: -0.008272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 143184\/3762 + (-4)\/66\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 346, 650, 948, 1234, 1502, 1746, 1960?\n\"Answer: -y**3 + 3*y**2 + 302*y + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112725.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*j - 9, -2*c + 5*j = 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1814 and 302938?\nAnswer: 302938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13909 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 589 and 18569992?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3132 is divided by 1041.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -252, -368, -482, -594?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 192\/15 + 1\/5. Suppose m*i = 14*i - 18. Calculate the remainder when 89 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 - 23*j**2 + 339*j - 213. What is q(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 3 (c) -4 (d) 5 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 109, 4, 70, 0 in ascending order.\nAnswer: -5, 0, 4, 70, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhv when three letters picked without replacement from {h: 2, k: 2, v: 1, y: 2, l: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmrrrrrrmm. Give prob of picking 4 m.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -7*h**4\/5 + 1909*h**3\/5 - 101357*h**2\/5 + 467291*h\/5 - 367836\/5 = 0.\nAnswer: 1, 4, 453\/7, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3182, 3186, 3190, 3194?\n\"Answer: 4*c + 3178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 11 = -p + 6*p, -2*q = -p - 10. Find the first derivative of -48*w**3 + 55*w**q - 1 + 2 wrt w.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + j + 4)*(-1 - 5 + 4) + 1 - 1 - j + (41 - 41 - 15*j)*(-4 + 4 - 2) as p + q*j and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -919, -1575, -1783, -1327, 9?\n\"Answer: 36*z**3 + 8*z**2 - 932*z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*(-3 + sqrt(76)))**2.\nAnswer: -1360 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 4*j**3 + 4*j**3)*(-9*j + 0 + 0)*(-3*j - 7*j + j) + 38*j**5 + 16*j**5 - 26*j**5.\nAnswer: -134*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(19) + 3.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259 - -174. Suppose 0 = -4*d + 2005 - s. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 2*u - 4*l - 22, 5*u - 8*l = 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125 and 20.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b - 9, 2*s + 5*b = 21. Let a be 6\/(-4)*(s - -1). Do -5 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 180*w**2 - 5901*w - 1388. Determine t(33).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 22. Suppose -91 + 11 = -8*g. Suppose g*u = c*u. Solve 5*b + 2 = -3*l, u = -5*b - l - 2 - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 2:22 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 1 = -3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2337 - 2337.00002598. Round p to seven dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 39425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -2, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-112)*(-52)\/6. Let l = i + -33\/14. Let d = -8 + 4. Which is the third biggest value? (a) d (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -381 - -2721?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2 - -9) + -83 + 88 + -17 + 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159412166 a multiple of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2)*3*(-40674)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 3:26 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*m*q**3 - 2*m*q*u**2 + m*u**2 + 2*m - 300*q**3*u + 8*q**2 wrt u.\nAnswer: -4*m*q*u + 2*m*u - 300*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Let u(k) = -k + 8. Let m be u(5). Let a be (-2)\/(-3*(-6)\/(-225)). Solve 0 = -w*z - m*z + a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223851, -448903, -673955?\nAnswer: -899007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7)\/(-6)*298\/(-14) and 97\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110*o + 1 - 3 - 140*o + 1 to the form w + j*o and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 47068.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30823, 61704, 92583, 123460?\n\"Answer: -z**2 + 30884*z - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101000010111110111 (base 2) in base 14?\nAnswer: -333675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 + 3*s**3 - 4*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.31 (b) 5 (c) -0.6 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619984477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 = 3*c, -v + c - 1 = -0*v. Suppose v = -2*x - 2*x. Suppose 4*i - 8*i + 132 = x. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 7*i**2 + 8*i + 9. Suppose -4*n = -54 + 22. Let o = 9 + -4. What is the remainder when j(n) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o + 36*o**2 + 5 - 2 - o**3 - 26*o**2. Let f be i(9). Suppose -f*c - 16 = -4*c. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - d**2 - d + 3. Let i(u) = u**2 - 6*u + 6. Let n be i(6). Let k(h) = -h**2 + 5*h + 6. Let y be k(n). Calculate l(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 2*y + 6. Let w(x) = -11*x**2 - 7*x - 21. Let h(p) = -7*s(p) - 2*w(p). Let i(u) = 3*u**2 - 162*u + 1. Determine i(h(n)).\nAnswer: 3*n**4 - 162*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 1400*o + 20550.\nAnswer: 2*(o + 15)*(o + 685)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196)\/343 + 15\/(-8)*8\/(-14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -324626.\nAnswer: -324627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = 16*h - 325. Sort -76, 1\/10, h in decreasing order.\nAnswer: 1\/10, h, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24*(2 - 1) - 1. Suppose -4*n = -n - 2*a - f, a = 5*n - 29. Calculate the least common multiple of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12201 is divided by 214.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21283\/3 + 7221. Let w = u - 126. Is w bigger than -1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/7)\/i)\/i)\/i**(-2\/3)*(i**(-2\/17)\/i)\/(i\/(i\/i**19)*i) assuming i is positive.\nAnswer: i**(-7964\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-5))\/(96\/(-90) - -1). Solve -h - 8 = 3*f, 0*h - 5*h + 4*f + b = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 314 = -3*l. Calculate the greatest common factor of l and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r**2 + 2*r**2 - 14*r**2. Let v(g) = -11*g + 7*g + 35*g. Calculate s(v(u)).\nAnswer: -1922*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9 + 7*o**2 + 11*o + o**3 + 11 - 15. Let f be a(-5). Suppose f*u = -5*u + t + 238, 0 = -2*u + t + 94. Is u a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 14\/377 (b) 8 (c) -5 (d) 0 (e) -4 (f) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446810 to the power of 1\/2, to the nearest integer?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**3 - 8*w**2 - 3*w. Let k(x) = -21*x**3 + 33*x**2 + 13*x. Determine 26*g(l) + 6*k(l).\nAnswer: 4*l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/14)\/g)\/(g*g*g\/(g\/g**13)))\/((g*g\/((g**(-6)*g*g)\/g))\/g*g*g*g**8*g))**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 929902080 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 63. Let s = b + -37. Are s and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 35*r**2 - 3845*r + 3875.\nAnswer: 5*(r - 31)*(r - 1)*(r + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 888\/252 + 1\/7. Let f = 0.1 - 0.1. What is the closest to 0.2 in f, s, -2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 835575.8ml to litres.\nAnswer: 835.5758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511 = 338*s - 55*s + 511 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h - 239*h + 7 - 7.\nAnswer: -210*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((-1)\/1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2. Let y(x) = -4955367*x. Give y(k(b)).\nAnswer: -19821468*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14802 + -3650. Suppose k = 5*z + 707. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*n + 118, -1659*d - n + 97 = -1654*d. Calculate the remainder when 107 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 172, -10, 4.\nAnswer: -10, -5, 3, 4, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1418414?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 2*g + 5. Let q be u(-4). Let x be 22\/q*(-15)\/10. Suppose -x*i = -6*i - 155. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1086734*q - 6520404. Determine h(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.5 - -4. Let u = 0.3 - 0.7. What is the third biggest value in u, g, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*g + 5 = 0, -8*g = f - 9*g + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4 + 3*p - p + 2 - p. Let a be j(-3). What is the closest to -2\/7 in a, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Let l = -8 + 13. Suppose 2*t - 49 = -l*x - 0, 24 = 2*x + 3*t. Calculate the highest common divisor of 81 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -34, 0.09, -4\/9 in decreasing order.\nAnswer: 0.09, -4\/9, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50.0029 + -50. Round a to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/7 - ((6 - 11) + 6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(-90) - (-3)\/1)*48. Suppose 30*t - x = -2*t. Put t, -3, 14 in descending order.\nAnswer: 14, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25484 divided by -4\nAnswer: 6371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 - 0.03. Let o = q + 0.060025. Round o to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)\/((i\/(i\/(i\/(i\/((i*i**(-24)*i)\/i)))))\/i*i))\/((i**(-2\/51)\/i)\/(i*i\/(i\/(i**(-2\/17)*i)))) assuming i is positive.\nAnswer: i**(6508\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -146.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 34*d**2 - 65*d + 42. Give w(32).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8898*h - 31*h**3 - 4442*h - 4456*h.\nAnswer: -31*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1395144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/16020 and 187\/32040?\nAnswer: 32040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i + 29*i - 5*i)*(1 - 3*i - 1).\nAnswer: -39*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + f - 1. Let q(z) = -129 + 5*z**2 - 9*z + 79 + 56. Calculate 4*g(y) + q(y).\nAnswer: y**2 - 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2122577, 2122555, 2122535, 2122517?\n\"Answer: k**2 - 25*k + 2122601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -967, 0.2, -0.5, 4, 2\/9 in increasing order.\nAnswer: -967, -0.5, 0, 0.2, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7480 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 50. Let k = x - -17.1. Which is the nearest to k? (a) -0.2 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - 0\/(5 + -1). Suppose 5*a = -k + 144 + 276, -v*a - 3*k = -410. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -73a1 - b80?\nAnswer: -8141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*a + 3611 = 832, 3*c + 5*a - 4159 = 0. List the prime factors of c.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)*m*m\/m**(7\/3))\/((m\/(m\/(m*m**(-2\/41))))\/(m\/((m*m**(-42)*m)\/m))) assuming m is positive.\nAnswer: m**(4024\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o - 10875791*o**2 + 37*o + 10875793*o**2 - 10 - 73*o.\nAnswer: 2*o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 17 + 7. Is (205\/(-10))\/(1\/z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n - 1. Let l(h) = -3*h. Let c(k) = -12*l(k) - 3*r(k). Let m(j) = -10*j + 8. Calculate 14*c(s) - 5*m(s).\nAnswer: 8*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Convert 8.249956 grams to milligrams.\nAnswer: 8249.956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.9606 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (-2*sqrt(170)*3 - sqrt(170)) - (sqrt(170) + -5*sqrt(170))*2)\/((2*(sqrt(40)*-4 - sqrt(40)) + sqrt(40))*4).\nAnswer: -sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 0, 5*m + 590 = -3*u + 5*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 10:29 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f. Let s(i) = 298*i**2 + 692. Calculate p(s(t)).\nAnswer: -298*t**2 - 692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 299 - 300. Let j be f + (63\/105 - 2\/(-5)). Solve j = -2*n - 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4455 and 47506635?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15.9 or -756952?\nAnswer: -756952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951226 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**41*b**(-32)*b**(-2\/17)*b**(2\/19)\/b assuming b is positive.\nAnswer: b**(2580\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -66. Determine z, given that -q*z**2 + 24*z - 48*z**5 + 45*z**3 + z**2 - 21*z + 24*z**4 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7252302, 14504604, 21756902, 29009196?\nAnswer: 36261486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 - -12.6. Let w = u - 13. What is the smallest value in 1\/4, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2204 rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 107 and 32082?\nAnswer: 3432774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-68)\/(-28) - 6\/14. Let z(s) = 3*s + 2 - 8*s**3 + s**3 + 0 + s**v. What is the units digit of z(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/20*420\/315. Let -3\/5*q**2 + 0 + 6\/5*q**4 + q**3 - d*q = 0. Calculate q.\nAnswer: -1, -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 h when three letters picked without replacement from {h: 1, w: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/5 - 188*f = 0. What is f?\nAnswer: -470, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5))**(-33)\/(y*y*y**(2\/15)*y\/(y**(-35)\/y)))**(-1\/83) assuming y is positive.\nAnswer: y**(157\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002555727618 rounded to 6 dps?\nAnswer: -0.002556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0302931943 rounded to 4 dps?\nAnswer: 0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 12) to base 15.\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 190111*k. Let d(w) = 24*w + 2. Calculate d(l(q)).\nAnswer: 4562664*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 0*l + l)*(2*l + 16 - 16) + (-4 + 2 - 2*l + 1)*(l + l - 4*l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 12*x - 68 = 0. Calculate the highest common factor of x and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 9, x: 1, c: 3}. Give prob of picking 1 x and 1 c.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyye when four letters picked without replacement from myymmymyeyemyem?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 12559166*z - 25118336.\nAnswer: (z - 2)*(z + 12559168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30997)\/131077 - (-6)\/23?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8403 and 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*k**4 + 5164*k**3 + 30*k**2 - 4073*k**3 + 19*k**4 - 22 - 34*k**4 wrt k?\nAnswer: 24*k + 6546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnnrnnnrtrtn. What is prob of sequence rt?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-174)\/24 + (-3)\/(-12). Let t be -58005 + z\/(35\/(-25)). What is t rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -21. Is 1 + h + (0 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -226\/9*f**2 - 4\/9 + 230\/9*f = 0.\nAnswer: 2\/113, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-7) - 3 - 18\/42. Let f(h) be the second derivative of 1\/21*h**3 + 1\/70*h**5 + 1\/21*h**4 + v*h**2 + 2*h + 0. Factor f(q).\nAnswer: 2*q*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493411941?\nAnswer: 3, 11, 4983959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Let c(s) = -807*s**2 - 738*s. Determine c(w(l)).\nAnswer: -3228*l**2 + 1476*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2 + (-6 - 2 + 7)*(-5 + 4 + 3) + 1 + 1 - 1)*(8 - 8 - 15*h) + 2 - 2 + h.\nAnswer: 31*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -4. Let k = 0.2 + 0.8. Let w = v - k. What is the second smallest value in -0.4, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 15*u**2\/4 - 159*u\/4 - 33\/2 = 0.\nAnswer: -2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -71. Calculate the remainder when x is divided by (-1)\/(-4) - 39\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1612830 and -61\/296925?\nAnswer: 862864050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.179978 - 0.18. Round f to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*u = -206*u. Sort 5, u, 2, 34 in decreasing order.\nAnswer: 34, 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243530 and 14200.\nAnswer: 4870600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 7*b. Suppose b*h + 28 = 2*h + 4*z, -3*z = -h - 11. Let q(j) = -j**3 - j**2 - 2*j + 3. Let n be q(0). Which is smaller: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 830 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 z(l) = 375*l**2. Let w(h) = -2*h. Determine z(w(a)).\nAnswer: 1500*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 + (-13 - -3))\/(1 - 4). Which is smaller: k or 2\/2607?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 26. What is the tens digit of 945\/10 + c\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -19802068.\nAnswer: -158416544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.2, 0.58, 0.0451, 3\/4?\nAnswer: 0.0451","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -0.3?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 40 = -4*k, -k - 2*i = k - 16. Suppose k*u = 9*u + 213. What are the prime factors of u?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/182*(-12*1\/(-192))\/(1\/20).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/81? (a) -12 (b) 0.057573 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312 - -1202012?\nAnswer: 1202330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - (26 + -14)*1\/2. Solve 25 = 5*i - 5*t, 2*i + u*t - 4 = 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n**2 + 10 - 6*n + 9*n**2 + 5*n**2. Let d be a(4). Suppose d*z + 21 = 3*c + 7, 0 = 2*c + 2*z - 6. Solve c*q - 3 = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*75\/((-900)\/136)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730612, 1461148, 2191684, 2922220?\nAnswer: 3652756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*r = 15, 4*b - 5 = -3*r - 0. Suppose b*k + 305 = -2*a, 91 = 3*k - 2*a + 290. Let f = k + 65. Solve -f = 5*c + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.066594 + 117.\nAnswer: 110.933406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiicirriyiiciiiircii. Give prob of picking 1 c and 2 i.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 bigger than -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449606*z - 449456*z + 5850 = 0 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*k = -88*k - 214*k + 1652. Solve -3*m - 2*m + 9 = f, 7 = k*m + f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s. Let a(k) = -199*k + 1. What is a(h(p))?\nAnswer: 597*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 57, 100, 109, 78, 1, -128?\n\"Answer: -o**3 - 11*o**2 + 83*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/3)*g*g*g*g**(-12)*g*g)\/((g*g\/g**(-3)*g)\/g)**(-17) assuming g is positive.\nAnswer: g**(229\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.007 + -87.007. Let h = i - -87.4. Sort 1\/3, 2, h in decreasing order.\nAnswer: 2, h, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 173*q - 8084. Calculate h(47).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43.6 + -42.6. Let h be (26\/585)\/((-1)\/(-3)). Which is the second smallest value? (a) h (b) -0.1 (c) s (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (82 + (5 - 1))) + (27 - 50)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21835162073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 0.3.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.126 - 0.934. Let t = u + 1. Let z be -2 - -1 - 5\/(-7). Which is the nearest to t? (a) -3\/4 (b) -2\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.67 + -0.47. Which is the fourth smallest value? (a) g (b) -1 (c) 1\/10 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 80.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17280 + 17283. Which is the closest to 0? (a) t (b) 5\/4 (c) -339\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 4*o**4 - 10*o - 24. Find the first derivative of r(y) wrt y.\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 458*j - 142970. Calculate n(-213).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -3\/14*b**7 + 0*b**3 + 0*b**2 - 23\/6*b**4 + 3\/20*b**5 + b - 5 + 0*b**6. Find the third derivative of o(h) wrt h.\nAnswer: -540*h**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 4*m - 7 + 3, -14*k = -4*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187174069 divided by 47.\nAnswer: 3982427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 43*s**2 - 6*s - 27. Let q be a(-4). Let x = 983 - q. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7163.97 - -7164. Sort i, 1, 15\/7, -0.1 in increasing order.\nAnswer: -0.1, i, 1, 15\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 314 - 43415331?\nAnswer: -43415013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47845524 and -0.06.\nAnswer: -2870731.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 11:57 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 453*h - 452*h + 2, -5*u = 4*h - 44 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**6\/1260 - m**5\/140 - 12*m**3 + 2*m**2 - 51. Let d(k) be the first derivative of i(k). Factor d(a).\nAnswer: -2*a*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 1:26 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 30 = 9*f + 9*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3aa8 (base 13) in base 9?\nAnswer: -12484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144063?\nAnswer: 3, 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33778630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -11. Is ((-1)\/n)\/(76\/325432) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 30.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Suppose 7 = -4*n + 23. Let g be (-2)\/4 - 6\/n. Which is the closest to 0? (a) t (b) g (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 7402.\nAnswer: 3\/7402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 235755 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 31 + -2 + 6 + -6. Let a = m - 13. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2052)\/162*4*3\/(-8)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 - w**2 + w**2 + (12*w**3 - 3*w**3 - 6*w**3)*(-3 + 1 + 1) as p*w**3 + o*w**2 + k*w + b and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/15242175*-193)\/(1\/5*1\/(-1)).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 2088561?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f**2 - 9*f - 404. Calculate j(11).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/15)\/(1\/15). Let v(d) = d**2 - 6*d - 1. Determine v(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224632 greater than 222361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.4221 - -2.4506. Let w = -0.0285 + b. Let z = 3.7 - 4. What is the third smallest value in z, -1\/4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = 24*f + 44*f + 83 - 24 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794014?\nAnswer: 2, 13, 30539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1\/2)*h)*h)**(-19\/4)\/(h\/h**1)**35*((h\/(h\/(h*h**(-1\/2))))\/h)**(-43)\/(h*h**(-6)\/h*(h\/(h**(-7)\/h)*h)\/h) assuming h is positive.\nAnswer: h**(91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -611*z - 4255. Calculate k(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 119962995*-0.8\nAnswer: -95970396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y = -2331 + 2457. Factor -45\/2*q - 3\/2*q**2 + 27\/2 + 5\/2*q**y.\nAnswer: (q - 3)*(q + 3)*(5*q - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 103*l - 418. What are the prime factors of z(30)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s**(2\/3)\/s)**(1\/5)\/((s**(-1\/4)*s)**(4\/3))**(-42\/11) assuming s is positive.\nAnswer: s**(104\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g. Let k(t) = -26781*t**2. Determine w(k(q)).\nAnswer: -53562*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0 (b) 0.03 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297322 is divided by 1862.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 219 - 126. Let p = 142 - -7. Let j = 173 - p. What is the remainder when m is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62384942 is divided by 62384903.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*b - 126*b - 55331*b**2 + 240*b.\nAnswer: -55331*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 12*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*78\/(-1260)*16\/(-52)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p. Suppose z = -5*b + 31, 2*z - 92 = -p*z + 5*b. What are the prime factors of z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2968105 divided by 35\nAnswer: -84803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 479*u**4\/2 - 89*u**3\/3 - 2*u + 1190. What is the third derivative of v(f) wrt f?\nAnswer: 5748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011100000110110 (base 2) to base 10.\nAnswer: -79926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 16 = -3*g. Let t = g + -6. Let k(h) = 5*h - 3. List the prime factors of k(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {v: 14, a: 4}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.07 (c) -14 (d) 0.5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 2)*(c**4 + 0*c**4 + 0*c**4) - 123*c**4 - 18*c**2 + 126*c**4 + 6*c**2 + 3.\nAnswer: 5*c**4 - 12*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-6))\/((-2)\/40). Let i = -360 + 359. What is the biggest value in i, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5 + 33333*f - 2 + 5. Suppose -4*o + 100*d - 36 = 97*d, 20 = 5*d. Let b be c(o). Round b to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 749, -4, -1, 0, -247, 1 in increasing order.\nAnswer: -247, -4, -1, 0, 1, 3, 749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10324 from -16.\nAnswer: 10308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) + 3 + (-1652)\/(-8). Suppose 4*p = -5*a + z, 5*a = p + a - 68. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l + 2. Let c = 59 + -62. Let b(y) = -9*y - 3. Calculate c*b(g) - 5*o(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v\/(v*v*(v\/(v**(-2)\/v))\/v*v))))*v)**50)**(23\/3)*((v*v**(-4\/5)*v)\/v)\/v**(-5)*v**3\/v*v*v*v*v**(-5)*v assuming v is positive.\nAnswer: v**(40343\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1719193 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*x - 35, -5*d + 0*d - 2*x = -20. Differentiate -6*y + 4*y**2 + 8 + d + 6*y wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 853814?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b**2 + 4*b**2 + 20*b + 2*b**2 + 0*b + 4*b**2. Let r(z) = 5*z. What is r(c(f))?\nAnswer: 5*f**2 + 100*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-46)\/(-18) + -2. Let h be (12\/30)\/(28\/(-35)). Suppose -12 = 4*o, 4*m - 2*o - 12 = m. Which is the closest to h? (a) -1\/4 (b) m (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*t + 2 - 19*t - 22*t + (1 - 1 - 1)*(3*t - 5*t + 3*t) - 8*t + 3*t - 2*t to b + i*t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1050 and 109\/62475.\nAnswer: 124950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = -42*t - 2*t - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20195767282665 and 0.07.\nAnswer: 20195767282665.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00031845733 to 7 decimal places.\nAnswer: -0.0003185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) 1 (c) 125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 2*w - 2*w**2 - 46*w**3 - 2*w.\nAnswer: -46*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27562 or 173?\nAnswer: 27562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 168c?\nAnswer: 168f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 175\/3*h**3 + 3*h + 142 + 5\/2*h**2. What is the second derivative of u(i) wrt i?\nAnswer: 350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/3)\/o*o*o*o)**(2\/5)\/(((o\/(o\/((o*o**1)\/o)))\/o)\/(o*o**(-1\/6))) assuming o is positive.\nAnswer: o**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2*(10\/(-45))\/(4\/(-288)*8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092*l = -458*l - 24800 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzqfqjwqfqnzzzzjzfw. Give prob of picking 2 f.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 2:42 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.1. Let f = -0.1 - x. Let z = 2.5 - -0.5. Put f, -0.3, z in descending order.\nAnswer: z, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -6?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 8:13 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 2.46?\nAnswer: -7.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9879 - 9869. Sort 3, 4, i, 23 in decreasing order.\nAnswer: 23, i, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 1144?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/672 and -149\/4368.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*m - 2604 = -1179 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 13 + 3, 4*i + 21 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -143 + -250?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -14. Let g(l) = 224336*l. Let c be g(x). Suppose 4*d = 5*f + c + 99338, 0 = -2*d + 2*f + 274004. What is d rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -2 (c) -0.2 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - l + 4)*(-1 - 3 + 6)*(-3*l + 3*l - l)*(2 - 2 + 6) - 3*l**2 + 1 - 1 to the form g + v*l + h*l**2 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1209 + -1173. Suppose -95 - 11 = -n. Calculate the remainder when n is divided by m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 19*c**2 + 130*c + 242. Give g(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 24 = -4*j. Let i(y) = y**2 + 24*y + 48. Let t be i(-22). Solve -2*o + 2*m = 5*m + j, 4*o + t*m + 20 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15421 - 812213\nAnswer: -796792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83c69 (base 15) to base 5.\nAnswer: 101333144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26\/9 + 29\/9. Which is the second biggest value? (a) 0 (b) t (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + 0. Let u be 60\/14 - (2 - -2). Which is the second smallest value? (a) 1\/7 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -82*s**2 + 137*s**2 - 64*s**2 + 12 + s**3 - 59*s. Calculate the remainder when p(14) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -4*y - c, -3*y = 4*c - 39 + 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlrg when four letters picked without replacement from {h: 5, j: 1, g: 1, l: 2, b: 3, r: 3}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - m + 12 = 0, -7*x + 11*x - 5*m + 36 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3146 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(833) + -3 + sqrt(833) + 3 + -4 + -1*(sqrt(833)*3 + -5))**2.\nAnswer: 14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37200)\/12896)\/((-27)\/(-39)).\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -441, -787, -1133?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*p**3 + 153*p**2 - 855*p + 204.\nAnswer: 3*(p - 4)*(p + 17)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 10*p - 5*h - 35 = 0, -p - 4*h - 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + 1 - 2)*(1 + 3 + 1) + 0*p + 3*p - 5*p.\nAnswer: 8*p - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (27 + -25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7049, 7372, 7693, 8012, 8329?\nAnswer: 8644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 891962945 by 5.\nAnswer: 178392589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -72? (a) -5 (b) -5\/4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6875*q + 3436*q + 3452*q.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = -z + 10 - 90 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317136 = -4002*w - 43044 for w.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -660 (base 14) to base 11.\nAnswer: -a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 3*w**2 + 4*w - 4. Let b = -11 + 15. Let g be k(b). What is the remainder when 29 is divided by g*((-7)\/2 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225834 and 13566?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17866, 17850, 17832, 17812, 17790, 17766?\n\"Answer: -a**2 - 13*a + 17880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1577?\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 4, 2\/7, -163\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v - 4*i = 253, 4*v - 194 = -i. Find the common denominator of v and 36\/103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1613303 is divided by 133?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4221274, 4221275, 4221276, 4221277, 4221278?\n\"Answer: a + 4221273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 32*t**3 + 12768*t**2 - t - 474. Determine v(-399).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-6 - (-2 - 3 - 1) - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -6*i + 0*i**5 + 0 + 3\/16*i**4 - 1\/4*i**3 + 0*i**2 - 1\/40*i**6. Let f(h) = 0. What is h?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -3*h + 5*x, h + 30 = -2*h + 3*x. Let y = -268 - -1691\/6. What is the common denominator of h\/32 - 286\/(-48) and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41014*z - 12*z**3 - 83786*z + 42772*z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**4 + 0*u**4 + 4*u**4 + (-u**2 - u**2 - u**2)*(19*u**2 + 163*u - 163*u) to p*u**3 + c*u**4 + g*u**2 + t + m*u and give c.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 18*q + 16. Let i be (-3 - 55\/10)*2. Let w be u(i). Which is the second smallest value? (a) -1\/6 (b) 0.3 (c) -2\/3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2910831 > 2910830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*t + 84*q - 89*q, 2*t - 4 = q. Solve 6*c + 24 = 4*o + t*c, -3*o + 5*c + 26 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 7*t**2 + 19*t - 34. Let i be f(4). What is the closest to 0.3 in 4, 0.5, i, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j - 2*j)*(j**2 + 2*j**2 - 13*j**2).\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111100 - -11101000000000101001?\nAnswer: 11100111110011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -25, -3\/7, 0.004, 1.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*w + 718*w**4 - 718*w**4 + 4*w + 9*w**5 wrt w.\nAnswer: 180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*i - 4708 - 4737 = -14103 + 4736 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**(-2\/25)\/(g\/g**3)**(-20) assuming g is positive.\nAnswer: g**(-4996\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 79201 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -22*l + 192. Let h be u(8). Solve h = 7*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*l + 6*l = -9, -22 = -4*o + 2*l. Which is the closest to -3? (a) 0.01 (b) -4 (c) o (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*z = 107512 + 10658. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y. Let o(x) = -x**2 - x - 1. Let d(m) = -6*m**2 - 4*m - 4. Let j(k) = d(k) - 4*o(k). What is j(i(a))?\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.78 from 373239663.\nAnswer: 373239661.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 588489570 + 67\nAnswer: 588489637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/13 or 137\/772?\nAnswer: 137\/772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 6 = -8*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(3 + (sqrt(375)\/sqrt(3))**2 + 0 + sqrt(5) + -2 + -5).\nAnswer: 3*sqrt(5) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9226 = -316*f + 2120 - 6166 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbkbbkkkkkkk. What is prob of sequence bbkb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 210*c - 9101. Calculate s(43).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 14175.\nAnswer: 14176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 310?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -274446 or -274448?\nAnswer: -274446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f00 - 3?\nAnswer: -5f03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/60 and 19\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 14. Let t = 28.0000022 + c. Round t to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 418 and 11913?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 1 (c) 32672\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 37 = -2*z. Calculate the greatest common divisor of z and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oujr when four letters picked without replacement from {o: 1, j: 3, r: 4, u: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.2 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 383272363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 14. Let i be 3\/m*6 - -1. Find the third derivative of 9*b**3 - 13*b**2 - 9*b + i*b + 6*b wrt b.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -5, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 331153 or 330372?\nAnswer: 330372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-26)*(-54)\/81. Is i bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 164*j - 7871. Determine c(48).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 1. Suppose 9*f + 1 - 100 = 0. What is the remainder when f is divided by s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - o = 2*l - 8, 0 = 5*o - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 12*s**2 + 11*s + 4. Let j be t(-11). What is the closest to -1\/2 in -1, j, -6\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 3*z + 19. Let f be k(-6). Which is smaller: f or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsm when three letters picked without replacement from {x: 4, u: 3, v: 2, s: 1, a: 3, m: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 1010?\nAnswer: 22220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 3, -2, -16, -939?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335.9669 millimeters to nanometers.\nAnswer: 335966900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/20 + (-66)\/(-15). Let a = 1 + l. Solve a*d - 31 = -6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 11, 8, 3, -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 2*f**2 - 1495968 + 1495968.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i**5 - 1128424*i**2 - 6*i + 2673615 wrt i?\nAnswer: 200*i**3 - 2256848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 881.4537 - -1.7463. Which is smaller: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 - (21 - 9). Let p(c) = 13*c**2 - 11*c + 11. Let z(f) = -7*f**2 + 6*f - 6. Let r(m) = b*z(m) - 6*p(m). Let v(i) = -36*i**2. What is v(r(y))?\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -29*g**3 + 15*g. Let v(k) = 7*k**3 - 4*k. Suppose -14 = -4*x + 58. Let o(u) = x*v(u) + 4*b(u). Let z(d) = -d**3 + d. Calculate -o(a) - 12*z(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 39. Suppose 144 = 2*v + h. Let b = -48 + v. Calculate the highest common divisor of 36 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2507 - -5?\nAnswer: 2514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 41 = 3*k, -k = 2*x + x - 155. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 12:13 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 611*o**3 + 2*o**2 - 4*o + 2. Let z be x(1). Which is smaller: 610 or z?\nAnswer: 610","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14652289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.45 - -0.05. Let v = -3 + f. Let b = 0.5000004 + v. Round b to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5911815.\nAnswer: 3, 5, 7, 13, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b1658a (base 12) to base 7\nAnswer: 32352061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -170*m**2. Let c(f) = f. Calculate c(g(s)).\nAnswer: -170*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (442\/1105)\/(3\/(-5)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 140 + 40 = -4*u, -4*u = -3*f + 120. Calculate the highest common divisor of f and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -6*a + 12. Let x(r) = -5 - 7*r + 10*r + a. What is x(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -5*b - v, -3*b = -v - 3*v + 8. Let q = b - -14. What is the least common multiple of 10 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -6*b + 4. Suppose k - b = 5*i, 4*i + 3 - 2 = 3*k. What is the units digit of i - -2*8\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from cqqqqdppdiqqciiqiiqd.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 218374 to the power of 1\/2, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -16*h**2 - 8*h + 17. Let k(l) = 11*l**2 + 5*l - 11. What is 8*k(f) + 5*w(f)?\nAnswer: 8*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/44128 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 7*v**2 + 1. Let p be g(7). Let y(h) = h**3 - 5*h**2 + 2*h - 6. Let d be y(5). Put 5, p, d in ascending order.\nAnswer: p, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223 by -231.\nAnswer: -223\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33610 is divided by 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 16 = p. Let z(g) = 10*g - 9*g - 2 - 25 - 15*g. List the prime factors of z(p).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 41.334 to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 2:06 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 - 26 - 19*a - a**3 + 2*a**4 + 18*a in the form u + i*a**4 + y*a + m*a**3 + d*a**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 2*h + 701. Let g(d) = 15*d. Give g(n(z)).\nAnswer: 15*z**2 + 30*z + 10515","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1200*a + 7202. Let q be h(-6). Let s(x) be the second derivative of 28*x + 0 + 1\/6*x**3 - 1\/2*x**q. Give s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 10806994?\nAnswer: 1080698a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 6:02 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**2\/5 + 24742*c\/5 - 8248\/5.\nAnswer: 2*(c + 4124)*(3*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2301 - -4213. List the prime factors of l.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 139 + 0*y - 14 - 124 - 101 to the form k*y + i and give i.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*y + 4, -2*b - 4*y = 16. Let r(t) = -105*t**3 - 10*t - 19. Is r(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 2*d**3\/3 + 13*d**2\/2 + 6*d - 55. Determine x(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8925.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7044, 28247, 63564, 112995, 176540?\n\"Answer: 7057*z**2 + 32*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 5 + 2*x**2 + 13*x**3 + 4. List the prime factors of r(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-7)\/(-21))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 20 = 4*a, -5*a = 5*k - k + 46. Let z(o) = 3*o**2 - 5*o - 23. What are the prime factors of z(a)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243\/6831*-11*7\/((-126)\/(-4)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 11)*(4*q + 0*q - 2*q).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -3. Let h(o) = o**2 + 9*o - 7. Let i be h(w). What is the third derivative of -7*s**i + 49 + 7*s**2 - 49 wrt s?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**3 - 4*w**2 - 4*w - 4. Let u(q) = -30*q**3 - 25*q**2 - 25*q - 25. Give 4*u(p) - 25*y(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 6:00 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3769, 14986, 33653, 59764, 93313, 134294?\nAnswer: 182701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1613646 to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2680*x**3 + 2*x - 1674?\nAnswer: 8040*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1122*p*q*u**2 - 90759*p*q*u + 40*p*q - 2*q*u**4 - 165*q*u**2 - u wrt u?\nAnswer: 2244*p*q - 24*q*u**2 - 330*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 12725328?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.4 - -22.5. Let r = -0.0288 + 0.0288. Put h, r, -3, 1\/4 in descending order.\nAnswer: 1\/4, h, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-698)\/5584)\/(66\/(-16)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111011 (base 2) to base 4.\nAnswer: 10323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 5*b**2 - 7*b. Determine x(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 33*t + 12674. What are the prime factors of q(-190)?\nAnswer: 2, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119675 = 13*x - 36468. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54245 and 366893195.\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -252*y**3 + 54188*y**2 + 52712*y - 1728 = 0. What is y?\nAnswer: -1, 2\/63, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 20010514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 11 - -7) + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (2 + -1)\/(-1). Let q be (g - (1 + -2)) + 1. Suppose 5*d + 2*j = 663, -3*d + 2*j - 270 = -q*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 + 0.38. Let y = -346 + 345.47. Let q = y - i. Which is the nearest to -1? (a) 3 (b) q (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**6\/60 + v**5\/60 + v**4\/24 + 4*v**3\/3 + v**2. Let o(g) be the first derivative of k(g). Give o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477347 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50376514?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.176449 grams?\nAnswer: 0.000001176449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkbkkbbbkb?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 9*m**2 - 11*m - 11. Let b be 10*((-18)\/5 - -4). Let x be b\/(-8) - 38\/4. Let r be j(x). Which is bigger: -1\/34 or r?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -517 (base 8) to base 16.\nAnswer: -14f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 3544.07367?\nAnswer: 3540.07367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-three quarters of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 13 = -2*h + 247, 3*h + g = 432. Solve -66 = h*i - 131*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.1 (c) 1747 (d) -8 (e) 3\/23 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**3 - 2. Let n(d) = -11*d**3 - 5. Suppose -7*u + 4 = -6*u. Suppose u*o = -5*v - 5 - 5, 4*o + v = -18. Give o*j(b) + 2*n(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 73. Let m = -8 + z. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302747 (base 9) in base 4?\nAnswer: 223300033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30018 divided by -1\nAnswer: 30018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*v**2 + 5)*(60641 - 60641 - 3111*v**2).\nAnswer: 9333*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47893 divided by 47893.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 610403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/(-16) + -7 - 2\/(-2)) + (-76)\/(-120).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -249 and 3403?\nAnswer: -847347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*c - 10864, 541*c + 8145 = 3*f + 544*c. What is the remainder when f is divided by 151?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n + 102. Let t be y(23). Let k = t - -590. Is k a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 19*w - 162. Let m be d(6). Let g be m\/(-9) - (10 + -5 + -2). Let q be (4 - (3 - 0)) + -3. Is q greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-3)\/(-6)) - -36. Let i be y*1 - (7 + -4). Let u = 14 - 7. What is the highest common factor of u and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -183245*u + 18874226. What is m(103)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -51*h**2 - h - 1. Let b(m) = -204*m**2 - 5*m - 5. Calculate -2*b(z) + 9*r(z).\nAnswer: -51*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 155*j + 156*j - 12762, -4*j = -16. What are the prime factors of k?\nAnswer: 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 21. Let y be s(-7). Let u(a) = a**2 + 9*a + 18. What is the remainder when u(y) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13409.199 months?\nAnswer: 111.743325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/2 - 27)*-1. Let k = -465 + 469. What is the tens digit of 46*(k - y\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3167.\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1386882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.9089 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 + 49. Let c = 21214.65 + -21248.649928. Let w = q - c. What is w rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -2731?\nAnswer: 2732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -918\/13 - -6265\/104. What is the common denominator of u and -11\/17?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -22 + 2. Suppose -q + 5*y = -6, 0 = 5*q - 5*y - m - 6. What is the tens digit of (-13)\/(q + 2\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(39)\/sqrt(3))**2 - (sqrt(13) - (sqrt(13) - sqrt(65)\/(sqrt(5) + (sqrt(5) - (sqrt(20)\/sqrt(4) - sqrt(5))))))**2)*-5.\nAnswer: -135\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 11*c - 6. Let k be q(6). Let i = k + -32. What is the greatest common factor of 70 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -9. Let v = 15 + j. What is the remainder when 33\/7 + 2\/v is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -570756, 10, -2 in increasing order.\nAnswer: -570756, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5219 divided by -307\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.05, 1\/2, 12, 387, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**5\/30 - 2479*w**2. Let t(p) = 64*p - 15 + 15. Give n(t(g)).\nAnswer: 8192*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-15)*w*w**(-15)*w)**(35\/6)\/((w\/(w\/w**0))**(2\/9)*(w**(2\/7))**43) assuming w is positive.\nAnswer: w**(-3688\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2 - 5*p**3 + 3*p - 5*p + p + 7*p**2 + 6*p**3. Let c be a(-7). Calculate the greatest common factor of 40 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(-2)*(4 - 30). What is the highest common factor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -398*l**4 - 48*l + 11*l + 396*l**4 + (2 - 2 + l)*(2*l**3 + 0*l**3 - l**3) as m*l**3 + i + z*l**4 + d*l + n*l**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -34?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 2*r**2 - r + 4. Let d be y(2). Let o(a) = 6*a**2 - 4*a + 5. Let z(t) = -12*t**2 + 9*t - 11. Calculate d*z(p) - 13*o(p).\nAnswer: -6*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 62?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 15*s**2 - 1677*s - 1667. Give l(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/13149444 and -39.\nAnswer: 13149444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 863651.2km in centimeters?\nAnswer: 86365120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 - -10 - 6\/(-2)) + 9. Let f be 11 - x\/((-65)\/10). What is the highest common factor of f and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 385?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 29, 0.4, -1\/5, 5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603*p - 303*p - 12 = 298*p + 4*d, -p - 5*d = 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 816252185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 - (-13 + -2 + 2 - 6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 12*i**2 + 11*i + 6. Give l(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2448935 times -4\nAnswer: 9795740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 13*p + 36 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.024 - -45.976. Let x = 45 - z. Which is the closest to 2? (a) -3\/4 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 2*v - 4*v - 4 - 2*v + 4 + (1 - 4 + 2)*(-3 - 2*v + 3) - 3 + 3 + v - v + 5*v - 2*v - 1283*v - 109970 + 109970.\nAnswer: -1282*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/f**45)\/f))\/(f*f**(10\/3))*(f\/(f*f**(42\/5)\/f))\/(f\/(f**5*f)))**(-3\/28) assuming f is positive.\nAnswer: f**(-589\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (230\/(-575))\/((-4)\/(-30)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6151841 is divided by 227.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 18713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 11020?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14415.077 + 14415. Is d < 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13551620 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 8*z + 10. Let k be o(-9). Let w(u) = u**2 + 13*u + k + 0*u**2 - 1 - 1. List the prime factors of w(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:30 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*o**2 - 83*o**2 + 29*o**2.\nAnswer: -111*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1791 and -81\/796.\nAnswer: 7164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 12\/73, -2\/5, 1\/5, 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -513 + 961. Suppose 21*m = -a + 1561. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 3. Let a be y(2). Let q(d) = 78*d**2 + 2*d + 2. Is q(a) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 402 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*b + n, 0*b + 2*b - 2*n = 4. Suppose -b*q = -2*p - 9 - 1, -25 = -3*q + 5*p. Suppose -2*y - 2*y + 220 = q. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -47*j - 182. Let r be y(-4). Solve 0 = -5*h - 20, k + 0*k - h = r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4453c91 + -3?\nAnswer: 4453c8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 1. Let l(y) = 3*y + 2. Let b = 50 + -47. Let q be 2*b*(-12)\/9. Let t(r) = r**3 + 7*r**2 - 9*r - 7. Let v be t(q). What is v*g(n) + l(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2552 and 13407512.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -233.1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6153559 + -1?\nAnswer: -6153560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*r + 41 - 7, -2*r = j - 59. Suppose -2*s + s + r = 0. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2150 and 209410?\nAnswer: 1047050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-669)\/(-33) - (-30)\/(-110).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(328\/(-410))\/(-1 + 4\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1956454225 to the nearest integer?\nAnswer: 44232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 9 + 120579354*w**2 - 120579351*w**2.\nAnswer: 3*w**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122341 + -10?\nAnswer: -122401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 13, t: 3}. What is prob of sequence ttx?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44081.054181 + -44081. Round d to three dps.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*n + 127*n - 112237*n**2 + 112242*n**2.\nAnswer: 5*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*g + 8*g. Suppose 30 = 5*r + 5*j, -5*r - g*j + 21 = -0*j. Solve 0 = 2*h + r - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21271 + -8391. Is 140 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160039*n - 160052*n = 455. Let k(r) = 2*r + 74. Calculate k(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -438, 120 in decreasing order.\nAnswer: 120, -62, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(-1\/2))*y*y*y*y**2*y*(y*y\/y**(1\/2))**48 assuming y is positive.\nAnswer: y**(155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 323302529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Let w(m) = m**2 + 4*m - 7. Let i be w(2). Let g(t) = 4*t - 15. Let c be g(i). Solve -q*u - c*f + 16 = -3*f, -4 = -2*f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0261 + 1.0261. Sort 0.2, g, 4.3 in ascending order.\nAnswer: 0.2, g, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1 + 2*n**3 - 8*n**2 + 12*n**2 - 15*n + 3*n**2. Let m(o) = o**3 + 4*o**2 - 8*o. Let j(q) = -5*m(q) + 3*w(q). Calculate j(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 + 10. Let w(t) be the first derivative of -13*t**3\/3 + 63. Determine w(c(h)).\nAnswer: -117*h**4 - 780*h**2 - 1300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.239072 to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 22.9655. Let a = -0.036 + l. What is a rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 10. Suppose -s = -w + 4*l, 2*l = -5*w - 2*l + 64. What is the units digit of (-4 + 0)*(-3)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13941 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 11, g: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5409 and 5931.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/247)\/(((-171)\/(-6))\/(-57))?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -1\/3*u**3 - 6*u + 7\/2*u**2 - 6. Determine z(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 6, 0 in decreasing order.\nAnswer: 6, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46092?\nAnswer: 2, 3, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 20. What is x(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g + 5. Let q(z) = 2*z - 3. Suppose 3*k + 11 = -b + 2*k, -5*b + 4*k = 46. Let m(h) = b*q(h) - 6*v(h). Let s(x) = 2*x. What is m(s(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(448) - (sqrt(448) + 0)) + 2 + sqrt(448) + (sqrt(448) - -1*1*sqrt(448)) + -1 + 2)**2.\nAnswer: 96*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 1\/4*a**4 + 0 - 6*a + 27\/2*a**2 + 3*a**3. Find m such that q(m) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2989 + 3691. Calculate the highest common factor of 216 and p.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 122, 46, -32, -100, -146, -158?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 17. Let g be 12\/5 - 3 - (a - 2). Factor -1\/5*j**5 + 3\/5*j**3 + 0 + g*j - 1\/5*j**4 + j**2.\nAnswer: -j*(j - 2)*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.5 - 2.5. Let a = 44 - 43.9. Are j and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + -6. Let q = k + 87. Suppose 13*x = 13 + q. Solve 0 = -5*b, -a - x + 2 = 3*b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.21, 0, 147 in descending order.\nAnswer: 147, 1.21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 + 30*q. Let x(b) = 9*b**2 - 50*b - 1. Determine -3*x(r) - 5*z(r).\nAnswer: -7*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 1\/2, 3, -0.15756, 2\/3?\nAnswer: -0.15756","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 57\/(-126) + (-2)\/(-7). Let b = -0.4137 - 1.5863. Let u = -0.5 - -4.5. What is the closest to m in b, u, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {e: 3, f: 1, q: 8, z: 1, o: 3, p: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -184 (b) -5 (c) 0.1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 0.24, 3 in increasing order.\nAnswer: -0.01, 0.24, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {t: 7, o: 2, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338800 - 677203 - z + 339144.\nAnswer: -z + 741","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**7\/2520 - 7*d**6\/720 + 3*d**5\/40 - d**4\/12 - 2*d**3 + 121*d. Let b(z) be the third derivative of y(z). What is b(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 9. Let g be p(-3). Calculate the remainder when 41 is divided by (-87)\/(-4) - g\/(-24).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*q + 23. Let k = -12 - -5. What is the remainder when k + 8 + (67 - 1) is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1571\/2, 24 in descending order.\nAnswer: 1571\/2, 24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 32674632 divided by 6\nAnswer: 5445772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - 16*s**2 - 19*s - 32. What is n(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79438 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 y when four letters picked without replacement from {y: 2, w: 10, o: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 540 and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, and 1 j when three letters picked without replacement from zupmmpjzfufm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((6\/15)\/((-10)\/(-250))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**3 + 0*n**3 + 0*n**3)*(-1 + 0 - 1)*(2 + 3 - 7) to the form q*n**2 + t*n + v*n**3 + o and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10526 + 1136809\/108. Let p(g) be the third derivative of -7\/540*g**6 - 4*g**2 - 1\/315*g**7 + 0 - m*g**4 + 0*g**3 + 0*g - 1\/54*g**5. Factor p(c).\nAnswer: -2*c*(c + 1)**2*(3*c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**2 - 501*q + 2334. What is l(96)?\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-440)\/(-11)*(-11)\/(99\/(-18))*(-5)\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 314656242?\nAnswer: -314656250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:02 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4, 159, -2\/21, 0.13, -0.4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -178*y**5\/5 - 17*y**2\/2 - y + 73. What is the second derivative of b(s) wrt s?\nAnswer: -2136*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 9*g - 12. Let s be k(-5). Calculate the highest common factor of 72 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 41*k + 42. Let l be y(-40). Which is greater: -12 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/35*49\/(-28)*-5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -16 - (14 + -3 + (10 - 4))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 124*i - 1 - i**2 - 246*i + 121*i. What is j(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 552 and 1199703.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20622, -83033, -187052, -332679, -519914, -748757, -1019208?\n\"Answer: -20804*z**2 + z + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-457143)\/(-2)*42\/3. Suppose -p - 10 = -5*i - 0*p, 4*i + 4*p = 8. Suppose c = i*m - b, 8*m - 3*m - 7999996 = -4*b. Round m to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 40 + (-22 + -1 - 3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**4 - 118*d**3 - 15*d**2 + 94*d + 7784748?\nAnswer: 4*d**3 - 354*d**2 - 30*d + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -3.576. Let y = r + -0.224. Suppose -5*u + d = 52, 4*d + 45 = -5*u + 2*u. Is y at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.6999997936 - 10.7. Round t to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4290, -8573, -12856?\nAnswer: -17139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -30. What is the remainder when 5 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-10)\/v))\/(v**(-5)\/v) assuming v is positive.\nAnswer: v**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.161 - -0.161. Let o = -17.8 - i. What is the third biggest value in -3, o, -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 + 5. Let y = c - -83. What is the second derivative of 127*m**y - 62*m**2 - 63*m**2 + 21*m wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5386 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 144*s - 622. Calculate the remainder when 2067 is divided by u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (23\/4)\/(5\/40) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*q - 2 = 0, -5*g + 3*q - 5 + 55 = 0. Is -1 - 0 - (g - 13171) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1701, -3402, -5103, -6804?\n\"Answer: -1701*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 19, -90.2, 21, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1052238*q + 1052229*q - 52 = -v, 0 = q - v + 44 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -d + 2807 + 2554, 0 = 2*w + 5*d - 2667. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**2\/6 - 59*b\/3 + 76 = 0.\nAnswer: 4, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, j: 1, m: 1, h: 1, q: 5}. Give prob of picking 1 u and 1 h.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -28. Let j(x) = 3*x**2 + x + 1. What is the units digit of j(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 754475 and 9376.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 396*c + 2232.\nAnswer: 4*(c + 6)*(c + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3606526, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*k - 0*k. Suppose -u + 2*o = k, -u - 3*u - o - 6 = 0. Sort u, -15, -3 in decreasing order.\nAnswer: u, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4525, -9051, -13577, -18103, -22629, -27155?\nAnswer: -31681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89090?\nAnswer: 2, 5, 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10\/7*i + 22\/7*i**4 + 6\/7*i**3 + 4\/7*i**5 - 22\/7*i**2 + 0 = 0. What is i?\nAnswer: -5, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28d2 - -2e?\nAnswer: -28a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -824, -820, -848, -908, -1000, -1124, -1280?\n\"Answer: -16*g**2 + 52*g - 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4231 = 5*q, 3*u - 3*q = 1246 + 3041. What is the greatest common factor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*x - 12, 0 = 3*n - 6*n + 2*x + 8. Solve -5*w - 2 + 17 = n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k - 8. Let q be c(3). Suppose 0 = 6*o - 1420 + q. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 13*m + 61, -3*m + 4 = -11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**3 - 81 + 145 + 16*w**3 + 4*w**3 - 33 - 32.\nAnswer: 14*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 95429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/((-1458)\/(-72))*(2 - -4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -152109354362819 - -0.4.\nAnswer: -152109354362818.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*y - 9*y - 10*y)*(-2 + 3 - 2)*(-2 + 3 + 2).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x. Let m(n) = -76*n + 57. Let p(b) = b - 1. Suppose -12*s = -5 - 7. Let q(w) = s*m(w) + 57*p(w). Give o(q(y)).\nAnswer: -38*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t + 30. Let w be p(14). Let r(j) = 18 - j - 19 + w*j. Suppose -2*y + 4 - 6 = 0. Let n(a) = -a**2 + 4*a - 3. Calculate y*n(d) + 4*r(d).\nAnswer: d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55897832999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.3 - -0.3. Let h = 33.5 + -34. Which is the smallest value? (a) m (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.055 + -1.965. Let q = 0.02 + m. Which is the closest to -1\/3? (a) -0.2 (b) q (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 10*m**2 - m**4 - 16*m**2 + m**4 - m**4 - 9*m as a + v*m**3 + i*m + q*m**2 + u*m**4 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 116, 166?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-207)\/(-115) + 3*1\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*z**3 - 40*z**2 wrt z?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183027194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*a + 2*t, -4*a - t + 1676 = 1683 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-706)\/(-12002))\/((-8)\/68))\/(82\/(-24)*1)?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/20)\/(6\/(-20)*46\/(-23))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 88790.6 to the nearest one hundred.\nAnswer: 88800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-59)\/(-236))\/(11\/16) + 17\/(-77)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*z**2 + 314 - 314 + 6*z**2 to h + y*z**2 + m*z and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 0*w**2 + 2\/35*w**5 + 0*w + 8\/21*w**3 + 2\/7*w**4 - 45. Factor d(a).\nAnswer: 2*a**2*(a + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/60 - r**4\/12 + r**3\/3 + 5*r**2. Let b be l(4). Calculate the greatest common factor of 4 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**4 - 28277457*t**3 - 39*t**2 - 55669?\nAnswer: -48*t - 169664742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -85544 divided by -296\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at most 323102\/18773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-10))\/(2\/(-2170)). Let k be (-14)\/(-9)*((-4324)\/y + -5). Let j = k - -2\/9. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:30 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 12:55 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 117?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17528?\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(117)\/(sqrt(45)\/sqrt(5)) - ((sqrt(468))**2 + -2)) + -1.\nAnswer: -465 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1882 - 4*u - 3764 + 1882.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -72, 196\/9, -2\/15, -1\/3, -3, 3, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 + 159. Suppose -75*n = -o*n - 900. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1459, -1435, -1411, -1387, -1363, -1339?\n\"Answer: 24*o - 1483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 964 less than 963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -26.2. Which is the closest to v? (a) 3\/7 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t**(-4\/3))**12*(t**1)**(5\/8)\/((t\/((t\/((t\/(t**(2\/7)\/t))\/t))\/t))\/(t*t**(1\/6)*t)) assuming t is positive.\nAnswer: t**(6901\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(0 - 1) + (-76 - -141). What is the greatest common factor of 188 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, n: 1}. Give prob of sequence qn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21086 or 21110?\nAnswer: 21110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -114, -105, -94, -81?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -840 = 32*j - 88*j. Let p(s) be the first derivative of -s**4\/4 + 5*s**3 + 4*s**2 + 9*s - 2. Calculate the remainder when p(j) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -10. Suppose -3*q = -x*q + 15. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*b**2*c**2 - 62*b**2*c - 98*b**2 - 3*b*c**2 - 15*b*c + 10*b + 2*c**2 - 145 wrt b?\nAnswer: -206*c**2 - 124*c - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 1) + (146 + -64 - 66)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*a - 2*a - 4*a)*(-1 - 5*a**2 + 1) + 2*a**2 - 2*a**3 - 2*a**2)*(4*a**2 + 0*a**2 - 2*a**2)*(0 + 2 + 0 + (-3 + 3 - 1)*(1 + 3 - 3) + 3 - 3 - 2).\nAnswer: -26*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-204*v + 204*v + 41*v**2)*(-4*v + 0*v + 2*v).\nAnswer: -82*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679895553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1431*k + 281*k + 31050 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2049 by -1.\nAnswer: -2049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(114)*-2 - sqrt(114) - sqrt(114) - sqrt(114) - sqrt(114))*4 + sqrt(114) + sqrt(114))*1)\/((5*sqrt(54) - (sqrt(6) - sqrt(600)*2))*-1).\nAnswer: 66*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.0271 - 0.0271. Which is the third smallest value? (a) -0.04 (b) h (c) 4\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31223 (base 4) to base 13\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnddnnd. What is prob of sequence ndd?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 14*r. Let g(h) = -2*h - 76. Give s(g(j)).\nAnswer: -28*j - 1064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 21 = 6*m - 7*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/(6\/(-8)). Let v be (-2)\/5 - ((-1158)\/(-30) - 4). Let f = -27 - v. Solve f = -2*n + g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a gram in milligrams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9788 - -9899) + -105 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2 + f - 1\/2*f**2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17992272 or 17992275?\nAnswer: 17992275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113 - -112. Let k be (-5)\/((2 - 1)\/(d\/1)). Suppose -9 = 3*c + j - 416, -k = 5*j. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4\/2 + 27*m**3\/2 - 1323*m**2\/2 - 5547*m\/2 + 3420 = 0. What is m?\nAnswer: -24, -5, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2316616881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/15*36\/(-48)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 75969?\nAnswer: 151938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m - 4 = 0. Let o be (8*-4)\/(m\/(-4)). Let d be o\/34 - 4\/(-2). Put d, -3, 1\/4 in decreasing order.\nAnswer: 1\/4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 3*o + 1. Let x(n) be the third derivative of n**5\/60 - n**4\/24 - 7*n**2. Let s(z) = -4*b(z) + 4*x(z). Let s(t) = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*u = -17*u + 1564 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*d + 44*d = -15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10206 is divided by 2300?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130*f**2*x**2 + 2*f**2*x - 141*f**2 + 23235*f*x**2 + 15*f*x wrt f?\nAnswer: -260*x**2 + 4*x - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6956 and -117\/28?\nAnswer: 48692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*j - 15. Is 33 + (j - -2) - 2 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2911\/150028 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8616387*f + 2481159 wrt f.\nAnswer: 8616387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 263\/3 + -87. Let p(l) be the first derivative of r*l**3 + 0*l - l**4 + 0*l**2 + 2. What is the third derivative of p(q) wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 - 8*o**2 + 3*o**3 + 15*o**2 - 17 - o**2 to m*o + v*o**3 + n*o**2 + x and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5958 (base 15) to base 12.\nAnswer: -ab9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + (2 - 26) + -6?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2692743 milligrams?\nAnswer: 269274.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 1 + 3 = -2*a, 9 = -3*a - 6*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**23\/o*o*o\/o**(6\/7) assuming o is positive.\nAnswer: o**(162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5*(-8)\/(-10))\/(-3 - -1). Suppose v - t*h + 4 = 0, h + 7 - 23 = -3*v. Solve -4*r - v = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, 6, 4, 10 in increasing order.\nAnswer: 4, 6, 10, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389 + 395 = 2*c, 4*c = 4*w - 28 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 229482 and 323361?\nAnswer: 7113942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1825 - 1823 + 5475 - 1827 + 281*g**2. Let h(y) = -10*y. Calculate d(h(c)).\nAnswer: 28100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/29 or -1?\nAnswer: -30\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 2:23 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**2 - 13*k**2 - 4*k**2 + 5*k**2.\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*f + 208*f - 57*f)*(-f - 11*f - 6*f).\nAnswer: -3762*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 7*i**2 - 2*i - 6. Let h be w(-4). Suppose -16 + h = 2*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14607614?\nAnswer: 2, 7, 1043401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (2 + 1) - -3. Solve -r*l + 13 = -2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 7. Let t be f(-9). Suppose -x = t*x. Which is smaller: x or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 20. Let q be i\/((3\/6 + -1)*2). Does 6 divide (3 + q - 0) + 0 + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (700\/(-3))\/10*(-18)\/4. Let r be 2700\/l + 4\/14. Suppose -25*p - 85 = -r*p. List the prime factors of p.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 15 + -6 + -10 - -3 - -31.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.5 (b) -429 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 22*v**2 - 75*v + 59. What is the hundreds digit of c(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*b - 177, 4*b + r - 144 = -r. Let k = 14 + b. Let p = -21 + 47. What is the remainder when k is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7282 + m**3 + 14478 - 7196.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*c + 190*c + 2140*c**2 + 1 - 1.\nAnswer: 2140*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.75 + -71.75. Let o = -71.0000006 - t. Round o to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 a factor of 47576144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 79. What is the greatest common factor of 130 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*q**3 - 162*q**3 + 0*q**2 - 166*q**3 - 80*q**3 + 0*q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {f: 5, i: 1, a: 8, l: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 8, 4*f = -3*h + 6*h + 82. Let n = f - 16. Calculate the highest common factor of 30 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**4 + 61*k**3 - 351*k**2 wrt k?\nAnswer: 24*k + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3352750976?\nAnswer: 2, 26193367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*a**3 - 24*a**3 + 88*a**3 - 32*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5842, -0.3, -22.9?\nAnswer: -22.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a + 6. Let n(r) be the second derivative of r**5\/5 - 2*r**3\/3 + 19*r**2\/2 - 33*r + 2. Calculate -2*n(s) + 7*u(s).\nAnswer: -s**3 + s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47124 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/56909876 and 39\/4708.\nAnswer: 626008636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Let d(v) = -v**2 - 18*v + 23425621. What is d(k(a))?\nAnswer: -a**2 - 18*a + 23425621","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + -4 + (-32 - -42).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, 7\/8, 0.65827, 0.4, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9580.\nAnswer: 2, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -44*v + 442. Let i be u(10). Solve 2*p - 2*j - 1 = 1, -3*j = -i*p + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((13325\/(-130))\/(-205))\/(1\/(-92)*2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9017870929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -292*g + 292*g + 104*g**2 in the form d*g + y + x*g**2 and give x.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 18*y**2 - 2*y + 2. What is s(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgj when three letters picked without replacement from {g: 6, j: 12}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -175 + 248. Let k = 123 - a. Suppose 3*q + 5*o = k, 3*q - 4*o = q + 4. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p**5\/11 - 2*p**4 + 2*p**3\/11 + 6*p**2\/11 = 0.\nAnswer: -3\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcdxrra. Give prob of sequence ac.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = s + 8, s - 5*p = -3*p - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3264 divide 506952062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - (5 - (-2 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + -28 - -61)\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2609?\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 193, 393, 663, 997, 1389, 1833, 2323?\nAnswer: 2853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1373360 and 9270180?\nAnswer: 37080720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-47281)\/(-65) - 4\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0109 + -216.0109. Let m = 203.9 + h. Round m to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 573*w + 42 = 569*w, 68*j + 2*w + 113 = 73*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1278156, -1278155, -1278164, -1278189, -1278236, -1278311?\nAnswer: -1278420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 8\/1661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h - 58. Let k be j(21). What are the prime factors of k - 1 - (-3809)\/39*9?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115.8 - -116.3. What is the third biggest value in 4, 2.7, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -94.\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c0240 (base 16) in base 8?\nAnswer: 23001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1030 divide 41200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3185 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10876 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12285 + -12282. Put -5, -2\/5, 290, v in decreasing order.\nAnswer: 290, v, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8836 and 188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12*(3 - 2) + (-30 + 2)*(-76)\/228\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3511 + -4385.8. Let i = 875 + x. Let o(h) = h**2 - h. Let y be o(-1). Sort 0.3, -4\/9, i, y in decreasing order.\nAnswer: y, 0.3, i, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/(-12) + 8 - (-6)\/(-2). Suppose 10 = -5*a, -35 = r*b - 4*a - 16673. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - h - 5*h - 2*h + 0*h + 0*h - 4*h + h + 2*h + (3*h + h - 6*h)*(0 + 1 - 3) - 5 + 5 + h - 832 + 94*h + 832 + 2*h + 2*h - 2*h as t*h + v and give t.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 1. Is 2260\/l - (-6)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4334 (base 6) in base 12?\nAnswer: -6aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.8 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d - 35. Suppose -5*q - 3 - d = 0. What is the tens digit of q*4*(2 - (-270)\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/5256 and -61\/24.\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j + 5 = 0. Let v be (-3 + 2)\/(j\/3). Find the second derivative of v*a - 2*a + a**5 - 3*a**5 wrt a.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11a7310 (base 11) to base 13\nAnswer: 581933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 + 215*y - 1. Let q(x) = -x**2 - 108*x. Let h(i) = -9*q(i) - 4*v(i). Let l be h(16). Which is the closest to -0.2? (a) 2\/5 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02729 and 2.\nAnswer: -0.05458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 33. Let z(q) be the third derivative of 0*q**4 + 0 - q**2 + 0*q - 1\/3*q**3 + 1\/20*q**j. Differentiate z(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/15 - 17\/(-5). Let h(m) = -8334*m + 2. Let t be h(r). What is t rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 323, 661, 1007, 1355, 1699, 2033?\n\"Answer: -i**3 + 10*i**2 + 315*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11433280 divided by -2286656?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Suppose j*g = 166 + 268. Suppose -5*m - g = -3*s, 5*m = 2*s + m - 148. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6692611.21 to the nearest 100000.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 160*a**2 + a. Let w(t) = t**2. Determine w(n(f)).\nAnswer: 25600*f**4 + 320*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.23 + 2.77. Let i = -4.09 + 0.09. Let q = 9.4 + -9. What is the third smallest value in i, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4812914 to the power of 1\/2, to the nearest integer?\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.72 + -1.862. Round r to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + w = 3 - 5, 4*d - 7 = 5*w. Let z(a) = -a**3 + 5*a**2 + 7*a. Let x be z(6). Let j = x + 3. Calculate the highest common divisor of d and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18602783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + -40 - (4 - (1 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39467*w**4 + w**2 - 4*w - 820446 with respect to w.\nAnswer: -157868*w**3 + 2*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*x**2 - 3)*(78*x + 44*x + 2*x - 2876 - 137*x).\nAnswer: 26*x**3 + 5752*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 18. Let m be t(-8). Suppose 9 = y - 4*y - 3*g, -2 = -2*y + 2*g. Let d be (m + -2 + y)*1. Are d and -1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896943 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 347*p - 396*p. Sort 4, 3, -7, p, -4 in descending order.\nAnswer: 4, 3, p, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 575150*v + 3450720.\nAnswer: 5*(v + 6)*(v + 115024)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.71018 months in centuries?\nAnswer: 0.21642515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d**3 + 141*d**2 - 396*d - 108 = 0 for d.\nAnswer: -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 445930 - -16?\nAnswer: 445946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -404b4 (base 13) to base 6\nAnswer: -2244415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17451 is divided by 143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*d - d, 4*h - 5*d = 3. Let p(c) = 14*c**3 - 3*c**2 + 3*c - 6. Does 10 divide p(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h. Let t(q) = -q**2 + q + 2. Let p be t(h). Solve 0 = -4*i + p*v - 8, -5*v = 5*i - 2*v + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8 - 0) + 4)*-11. Suppose 3*m - 334 = -4*j, 2*j - 66 - 46 = -m. Calculate the greatest common divisor of b and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123620.5 nanograms to tonnes.\nAnswer: 0.0000000001236205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/(-22))\/(2\/(-12)). Factor -c*l - 10*l**2 + 0*l + 11*l**2 - 4*l**2.\nAnswer: -3*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 - 265*z**3 + 255*z**2 + 265*z - 260.\nAnswer: 5*(z - 52)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 5*q**2)*(-15 + 21 - 20).\nAnswer: -70*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5412 and 1452?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7) - 405\/21. Let y = -4 - b. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 923226 and 21?\nAnswer: 6462582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -531719*b**4 - 4293878 wrt b.\nAnswer: -2126876*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -abb1 (base 12) to base 16.\nAnswer: -4a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1852*b + 61. Let w be f(-9). Suppose 7*c - w = -2008. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 3*x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i*i**(-4))\/i**2)**(-24)*(i\/i**(-1\/2))**(11\/2)\/((i*i**(6\/11)\/i*i*i)\/i**(1\/4)) assuming i is positive.\nAnswer: i**(1187\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*-1522.\nAnswer: 62402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 less than or equal to 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37.1 and -1?\nAnswer: 37.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 26748 + 18420. Suppose 17*v - g = -1095. List the prime factors of v.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*g - t + 64, t + 25 = 2*g. Calculate the remainder when 43 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.06093 months to centuries.\nAnswer: 0.082550775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3 = 11. Suppose -r - c*r + 15 = 0. Find the common denominator of -45\/16 and -1 + (r - (-33)\/(-42)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -325*m*n**3*t - 191*m*n**3 - 40*m*n**2*t - 232*m*n**2 + 2*m*n*t + 9*n**3 - 246*n**2*t + 2*n*t wrt n.\nAnswer: -1950*m*t - 1146*m + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p\/(p*p\/p**(-6))*p))*p\/(p\/p**(-9))*(p*p**(-5)*p)\/p**9)**(-2\/7) assuming p is positive.\nAnswer: p**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfy when three letters picked without replacement from {f: 2, k: 7, y: 1}?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(85) + sqrt(85)))\/sqrt(5) + 3 - (2 + sqrt(51)\/(sqrt(108) + -6*sqrt(108))).\nAnswer: sqrt(17)\/30 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -7. Suppose c - 80 = -3*q, v*q - 9 - 37 = 3*c. Let f = q + 3. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4576405?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08619559 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s + 2*v + 94, s + v - 43 = 0. What is the remainder when 179 is divided by s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15358, 29071, 42784, 56497, 70210, 83923?\nAnswer: 97636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150304 is divided by 282.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-8)*(-6)\/(-7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*p + 344 = -56*p + 190 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8542?\nAnswer: 2, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -14*n - 60. Let f(t) = 7*t + 30. Let k(c) = -13*f(c) - 6*p(c). What is k(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 - 59 - 2*m**3 - 2*m**3 + 10.\nAnswer: -m**3 - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + r + 0*r)*(6 - 1 - 3).\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-588)\/3087*693\/66?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-3040)\/1064)\/10)\/((-56)\/12)\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2478 and 106250670656?\nAnswer: 106250673134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 434451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -453*g**2 + 5*g - 4. Let r(b) = 909*b**2 - 11*b + 9. What is 13*o(c) + 6*r(c)?\nAnswer: -435*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 1 - 8*k + 6 to the form n + q*k and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.220237.\nAnswer: -1.101185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -3, 64?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -13*l**2 - 40*l - 9. What is i(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -4*z - 5*k + 128, 2*z = 3*k + 10. Suppose -1 = -2*c - 13. Let b(n) = 4*n**2 - 8*n + 7. Let d(w) = -w**2 + w - 1. What is c*d(m) + z*b(m)?\nAnswer: 2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 92 * -49284\nAnswer: -4534128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -21. What is the remainder when 81 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5671, -5483, -5297, -5113, -4931, -4751, -4573?\n\"Answer: -r**2 + 191*r - 5861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 672.2? (a) -3 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 5) to base 3.\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.7694?\nAnswer: 0.3847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2235488 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - i. Let j(g) = -8*g**2 + 7*g - 2. Calculate j(u) + 5*s(u).\nAnswer: -3*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o + 163. Determine c(21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 135 from 170.2.\nAnswer: 35.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 2312406281.\nAnswer: 2312406280.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 9 = 6*u + 3*f, 0 = -4*u + 5*f - 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdct when four letters picked without replacement from hchthdpchhhhspph.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054 times -0.1?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 138 in ascending order.\nAnswer: -7, -3, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 1, 2, -7, -32, -79, -154, -263?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -11000101111011111?\nAnswer: 11000101111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 14*n**2 - 2*n + 30. Determine r(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.9 - 28. Let s = -4 + f. Which is smaller: s or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 10:35 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -323, -1, 1, -3, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -731*o**3 - o**2 - 337*o - 336. What is h(-1)?\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20836519, 20836583, 20836697, 20836867, 20837099, 20837399, 20837773?\nAnswer: 20838227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*t**4*x - 2*t**3*x + 2*t**2 + 2*t*x - 36*t + 2 wrt t.\nAnswer: -960*t**2*x - 12*t*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127724603?\nAnswer: 1567, 81509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 547 and 0.050019.\nAnswer: 547.050019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15731, 21483, 27235, 32987, 38739, 44491?\nAnswer: 50243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1008)\/102 + 6 + 4.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*z - 255 - 254 - 3121 = 0 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 2*j - j - j. Let o(f) = -f + 2. Let t(y) = -6*y - 23. Let g(x) = -5*o(x) + t(x). What is g(i(a))?\nAnswer: 2*a - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150800 = -5*f + 25*f. List the prime factors of f.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 17*b**7\/14 + 3*b**5\/20 - 3*b**4\/4 - 27*b**3 + 2*b - 2316. What is the third derivative of a(g) wrt g?\nAnswer: 3060*g**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142144 by -6.\nAnswer: 71072\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*a - 5. Let z(u) = 6*u + 7. Let n(o) = 6*o + 6. Let f(d) = a*n(d) - 2*z(d). Let p be f(0). Solve 0 = -5*b + 4*k - 17, -14 = p*b - 3*k - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -16. Suppose 5*q = -2*m + 2, t*m + 0*q - 5 = -4*q. Solve 0 = -7*b + 29 - m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.072, 3, -4\/5?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1396, -3, -5 in increasing order.\nAnswer: -1396, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**5\/180 - f**4\/24 + f**3\/9 + 7*f**2\/2 + 13*f. Let h(d) be the first derivative of x(d). Factor h(u).\nAnswer: (u - 2)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 7*l**2 - 2*l + 1. Let n = -21 - 0. Let o = n + 14. Let i be u(o). Calculate the highest common factor of 105 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15 + -3)*(-4)\/(-12). Suppose -u + j*y - 1077 = -6970, 4*u - 23583 = 5*y. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-366)\/12)\/(-61)*4*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)\/(z\/((z\/(z*z**(-2)*z*z*z))\/z)*z)*(z*z\/(z**(-2)\/z)*z)**12)**(-1\/31) assuming z is positive.\nAnswer: z**(-478\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n + 3 = 0. Suppose -3 - 9 = -3*j. Suppose 0 = 2*w + 2*x + 2, j*x - 3 = 5*x. Sort -5, w, n in decreasing order.\nAnswer: w, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 + 138\/24. Let l = m + 32. Suppose -3*d = -c - l, -d - 2*c + 10 = 2. Calculate the smallest common multiple of d and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 922 - 398 - 513*p**3 - 123 - 401.\nAnswer: -513*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 21 + 75 = 6*a, -5*a = -2*n - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14110 by -5485.\nAnswer: -2822\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.0011, -2, 1, -1\/10, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*r + 420*r - 20826 + 22047 = -44531 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.09 (c) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m. Let o(w) = 14972129*w**2. What is n(o(i))?\nAnswer: -14972129*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 7*b + 26 = 2*d, 0 = 2*b - 4*d + 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-5 + (10 - 10))) + 12\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7686161 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 0)*8\/20. Let s = 1 - u. Suppose -c + s*c = 40. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 250489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-609)\/(-3045))\/(2\/110)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(11*(-11)\/(-121)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 2*x - 2. Let r be u(6). Suppose 22 = -4*a + r. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w**3 - 4*w**2 - w + 2. Give s(-2).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12234.13 nanometers in centimeters?\nAnswer: 0.001223413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 97\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3 - 51486*v**2 + 1339650*v - 8709922 = 0. What is v?\nAnswer: -25769, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2167 - 2167.4. Let w = 1.41 - 0.01. Which is the smallest value? (a) 5 (b) w (c) -2\/7 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 17 = 63. Suppose -4*u + m = 5*f, u + 2*f - 3 = 1. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 27*r**2 - 240*r - 73. Let g be i(-34). What is the closest to -3 in 0.09, g, 29?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - j**2 - j - 1. Let s be a(2). Let v = s + -3. List the prime factors of (-1712)\/(-24) - v\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/42)\/(84\/(-294))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 12. Give p(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 5*p + 3. Let a be w(5). Suppose k + 5*v = 7, 0*k + 4*v - 10 = -a*k. Suppose -k - 4 = -2*l. Solve -4*g + q + 2 = l*q, q - 2 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.683 - 15.6. Let l = 0.061753 - -0.021141. Let m = l - z. What is m rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 19. Let b(c) = -6 - 8*c - 1 + c**3 + 5*c**2 + 0*c**2 - c**2. What is b(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 2. Let a be l(-5). Suppose 0*q = -a*q + 18. Is 11 a factor of (-1)\/(-3) - (-130)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2352 - 271 = -145*o - 13 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**3 - 4*g**2 + 8*g + 1681. Let h(n) = -14*n**3 + 11*n**2 - 22*n - 5044. Determine -11*a(i) - 4*h(i).\nAnswer: i**3 + 1685","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n - 47*n = -1100 + 461. Solve -4*g - 4*w + 11 = -n*g, 2*w = 5*g + 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780464577?\nAnswer: 3, 17, 19, 43, 18731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 8205204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4293\/8 - -81735\/152. What is the third biggest value in 1, 1\/39, d?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1029717189?\nAnswer: 3, 71, 1611451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -69. Let a = -10 + w. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612115287 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -1300*j**4 - 446035*j**3 + 849050*j**2 - 474165*j + 72450 = 0. What is j?\nAnswer: -345, 1\/4, 42\/65, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**2 + 6*g + 1. Let t(h) be the third derivative of -h**5\/60 + h**4\/24 + 223*h**2. Calculate 2*s(m) - 10*t(m).\nAnswer: 2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a factor of 164367252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 598700 to the power of 1\/2, to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60*q**4 - 3*q**3 - 179*q - 137569 wrt q?\nAnswer: -240*q**3 - 9*q**2 - 179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -880793, -2, -4.\nAnswer: -880793, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166653 + -109206. List the prime factors of n.\nAnswer: 3, 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21 + 16\/7. Let y(l) = l**2 - l. Let f be y(d). What is the units digit of (-18)\/4*-1*f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 24 = 2*c. Let h = 541.8 + -542.8. What is the closest to h in -0.3, c, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 8:05 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6753628, 6753609, 6753578, 6753535?\n\"Answer: -6*q**2 - q + 6753635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**4\/4 + 285*l**3\/2 - 1845*l**2 + 5670*l = 0. What is l?\nAnswer: -126, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2347640563 + -3?\nAnswer: -2347640566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(114) - sqrt(114)*-3 - sqrt(114))\/sqrt(6)*-3)**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3 - 9*l**2 - 15*l + 25 = 0. Calculate l.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7122.9 rounded to the nearest ten?\nAnswer: 7120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 4 - -2) + (12 - 21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29666526 and 74.\nAnswer: 29666526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 11:34 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*m - 36, 3*l + 4*m = -65 + 9. Let d = 94 + l. List the prime factors of d.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4747 (base 8) to base 2\nAnswer: 100111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 581.\nAnswer: 4\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 4*d**2 + 7*d - 2. Calculate f(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -310 + 315. Let g(p) be the first derivative of -p**3 + 0*p + 3 + 9\/8*p**6 + 0*p**2 - 63\/20*p**k + 3*p**4. Factor g(y).\nAnswer: 3*y**2*(y - 1)*(3*y - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c06 - -31?\nAnswer: c37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let m(k) = 1 - 3*k**2 - 4*k - k**o + 6*k**2. What is the units digit of m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a**4 - 44*a**3 - 344*a**2 - 160*a = 0. What is a?\nAnswer: -4, -1\/2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f - 4 - 2*f + 9 + f. What is m(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = a + 2*r, -4*a - 2*r = -0*r + 2. Suppose -d + 0*d = a. Suppose 0 = -d*l - l + 38. Calculate the remainder when l is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1372294110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 7:12 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2890204 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*q - 0. Let v(p) = p**3 + 5*p**2 - 7*p - 7. Let i be v(q). Are i and -1\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l - 121*l - 2828 = 112*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4953\/7239)\/((-1)\/(-19)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1252.2 + -1370. Let s = d - -98. What is s rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = -84*a + 65*a. Solve 0 = -v - 27 + a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 1894*i - 12. Determine u(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.42617*2947\nAnswer: -1255.92299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 6, -12400, 3, -4, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5482355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*n + 343 = 68. Let w be 518\/(0 - -2) + -1. Suppose n*c + w - 1245 = -3*v, 5*c + v = 989. Calculate the greatest common divisor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 10:44 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 + 55. Let f(x) = -x**3 + 40*x**2 - 17*x + 678. Let s be f(40). Sort 3, c, -5, s in descending order.\nAnswer: 3, c, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 42*w**2 - 2*w + 97. Let o be u(42). Suppose 3*k = q - k + o, q + 3*k - 15 = 0. Calculate the smallest common multiple of q and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7313.\nAnswer: 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -203834\/9 - -22648. Put s, 5, -35\/2, -8 in descending order.\nAnswer: 5, s, -8, -35\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471 = -6*d - 507 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -72, -140, -236?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 41838544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*s**4*u + 55*s**3*u**3 - 2*s*u**3 - 7*s*u**2 + 4*s*u + 12*u**2 wrt s.\nAnswer: -60*s**2*u + 330*s*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -0. Let s = -17 + 20. Suppose -3*d + x + s = -9, 3 = x. Solve i - 11 = 3*l, -4*i + v*i - 19 = d*l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 32) + (1 - -5) - (6 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 7*u + 5. Calculate the remainder when c(4) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9672544 divided by -4\nAnswer: 2418136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -372 divided by -36209\nAnswer: 372\/36209","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 + 3 = 0. Suppose 2*g + 7 = r*g. Suppose -2*d - 2*d + 4 = 0. Solve -k + 3 = -4*p + d, -k - 5*p - g = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -41*g**2. Let p(z) = -8491*z - 9. What is p(x(a))?\nAnswer: 348131*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715)*-3)\/(1*sqrt(847) + sqrt(847)))**2 + -1.\nAnswer: 1721\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 86986.9m?\nAnswer: 86986900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01615 rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -816, 8 in descending order.\nAnswer: 8, 4, -816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -64*h**3 - 15*h**2 + 9*h - 84. Let q(x) = 31*x**3 + 8*x**2 - 5*x + 42. Let v(w) = 6*p(w) + 11*q(w). Find the second derivative of v(l) wrt l.\nAnswer: -258*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6 = 0, 3*g - 375*n - 1573 = -376*n. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c1 (base 14) to base 9\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30929294939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -391\/3 + 389\/3. What is the biggest value in -0.02, -1\/2, f?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 7, 2, -1 in descending order.\nAnswer: 7, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-212)\/(-583))\/(4\/(-154))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2599, 2604, 2609, 2614?\n\"Answer: 5*i + 2594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17970 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*1*(-1738)\/22. Suppose -310 = -3*a + h. Is 39 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37134 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2308064 and 23572.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -195 + 216. Suppose 3*w - q = 2*w + h, -67 = -3*w + 5*h. Solve 18*x = w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(2*(-1)\/(-2)). Suppose 29*o = 27*o - 6. What is the units digit of k\/((o\/2)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, k: 5}. What is prob of picking 2 k?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 - -60. Let o = k + 59. Does 37 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2 = w, 3*w - 26*v - 5019 = -5109 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.011 and 182597.\nAnswer: -184605.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 291673216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/2061400 and -61\/22488?\nAnswer: 6184200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*q + 15, -z = 2*z + 4*q - 9. Let r = -3762 - -3775. Sort -0.4, z, r.\nAnswer: -0.4, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0799985 - -0.08. Round j to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 5*k**4\/12 + k**3\/3 - 2*k**2 + 341*k. Let r(h) = -20*h - 4. Give 3*r(u) + 5*x(u).\nAnswer: -10*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a gram in micrograms?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2079590432.\nAnswer: 2, 19, 347, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 106*u**3 - u - 1. Let x be v(-1). Let o = -24 + 25. Let p = o - x. What are the prime factors of p?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -47. Calculate the remainder when 42 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 152?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7*189\/54?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -5*v - 5, -2 = -4*u - 5*v + 8*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4883*d**2 - 122081*d - 147. Determine c(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 204 = 10*d. Suppose 20 = -7*t + d. Solve -2*v - 1 = b + 3, t = -3*b - v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcjd when four letters picked without replacement from {j: 1, p: 2, c: 1, d: 2, z: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3 - 10.3. Let v = -8.9 - a. Put -2, 0.6, v in descending order.\nAnswer: 0.6, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44a (base 12) in base 7?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102517*x + 100251*x = -222068 for x.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 = -0*g - c, 4*g - 5*c + 7 = 0. Let x(t) = 2*t**2 - 1. Determine x(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 3*k, 0 = 3*z - 3*k - 9. Solve -5 - 1 = z*a, -5*a - 20 = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/5)*h\/h**1*h\/h**(-1)*h*h**14 assuming h is positive.\nAnswer: h**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 20 = 4*z, -5*p - 10 = 2*z - 0*z. Suppose -3*c + 1231 - 319 = p. Calculate the remainder when c is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 528*a**2 + 11531*a + 12. Give d(21).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18645889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*q - 10*q + 216 + 366 = 0. Solve 0 = -2*w - 2*x, -3*w + q*x - x = -32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(2*sqrt(77) + sqrt(77)) + sqrt(77) + sqrt(77))*1*5)\/((sqrt(350) + 2*sqrt(350))\/(-4*-2*sqrt(2))).\nAnswer: -128*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 5:54 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -109*s - 62. Let c be l(-1). Solve 0 = c*t - 49*t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338424 + 113400 = 575*r - 599*r. What is the thousands digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24425, -24337, -24249?\n\"Answer: 88*m - 24513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175993*j + 3*l = 175996*j + 21, 0 = -4*j - 3*l - 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -875280 divided by -4\nAnswer: 218820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 60*a**2 - 54*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*x + 98 = 6*b, 2*b = 2*x + 50. Suppose 16*v + 11 = 19*v - l, 2*v = -5*l + 13. Solve -v*t - b = 3*k, -3*t - 4 = -6*k + 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199231377 to the power of 1\/4, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 8227*a**5\/10 + a**4\/3 + 19*a**3\/6 - a**2\/2 - 14*a. Let k be n(-11). What is k rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g + 39. Determine p(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -21743.2 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 2*o - 2864*o**2 + 2765*o**2)*(-2*o + 1 - 1) in the form q*o**2 + p*o + j + w*o**3 and give w.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/21180 and -70\/45537.\nAnswer: 910740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -34 - (11 + -8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 + 3)*2\/4. Let l be 10\/(3 - (-8)\/w). Calculate the highest common divisor of 20 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -202220603?\nAnswer: 202220601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 17*w - 3*w**2 + 5 - 11 + 5*w**2. Let r be h(-10). What is the third derivative of -r*s**3 - 6*s**2 + 12*s**2 - 21*s**3 wrt s?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z - 5 - 22. Let x = -27 + 82\/3. Which is the closest to x? (a) 1\/2 (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 11*q**2 - 29*q + 10. Let c(h) = -4*h**2 + 10*h - 3. Let y(w) = -8*c(w) - 3*o(w). Let a be y(5). Let l = -5 - -6. Sort l, -4, a.\nAnswer: -4, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 4*r + 1. Let m be l(-4). Let u = m + 27. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2897316 and 1737?\nAnswer: 2897316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.1. Let s(l) = -767*l - 18430. Let b be s(-24). What is the second biggest value in b, 5, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -40\/7, 2, -4\/3, 0.5?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12858, -12853, -12850, -12849?\n\"Answer: -l**2 + 8*l - 12865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/20 in 0.3, 1, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26 or 1?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjggjgjjjjggjjgjjjg. What is prob of picking 3 j?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x + 341. Determine d(-59).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-84))\/(2\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*g - 3 = 0, 5 = 4*g + 1. Suppose 0 = -343*m + 344*m + 6. Put m, 0, i in decreasing order.\nAnswer: i, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**3 - 275*n + 161*n + 5*n**2 - 47*n + 161*n - 5*n**2.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 - 16338*o - 81692\/5.\nAnswer: 2*(o - 40846)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, -18, -2, 13 in decreasing order.\nAnswer: 13, -2, -4, -14, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10179045?\nAnswer: 3, 5, 226201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 24, 0.3, -1459\/8, -0.3, -1, -0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 2*q**2 + 1. Suppose 3*h + 12 = 15. Give v(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738 (base 10) in base 9?\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -10.7. Let y be 1\/(-3) + (-3)\/((-495)\/25). Which is the third smallest value? (a) -3 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q - 15*q + 259*q**2 - 258*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*2 + -1 + -5)**2.\nAnswer: -264*sqrt(19) + 9232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -1 (c) 11627 (d) -84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.13 + 3.43. Suppose -2*o - 3 - 1 = 0. What is the nearest to 2\/3 in t, -1, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 3\/7, 3, 2.5, 1\/6, -57 in decreasing order.\nAnswer: 3, 2.5, 3\/7, 1\/6, -1\/4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 - 11*j**3 - 5*j**2 + 4*j**2.\nAnswer: -6*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plalm. Give prob of sequence am.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**3 - 12*h**2 + 344*h + 7. Let v(a) = -9*a**3 + 9*a**2 - 344*a - 5. Determine -3*u(p) - 4*v(p).\nAnswer: 12*p**3 + 344*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 12. Let y(f) = 1. Let j(u) = -3 + 4 + 2 - 1. Let z(s) = -j(s) + 3*y(s). Give i(o) + 12*z(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.791315 weeks to milliseconds.\nAnswer: 5316987312","meta":{"dup_signals":{},"source":"measurement__conversion_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: Collect the terms in 2 + 6 - 5 - 3 - 26*n**3.\nAnswer: -26*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 4*k + 30. Suppose 5*d + 25 = -3*y, -3*y + 4*y + k = -5*d. Let t(o) be the second derivative of o**5\/20 - o**3\/2 - o**2 + 14*o. What is t(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3*(-29)\/(-3))\/1 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 13*d - 12 = 0. Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14045 (base 6) to base 16\nAnswer: 88d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 2*p**3 - p + (0*p + 4*p - 2*p)*(4*p**2 - 3*p**2 + 6*p**2) - 2*p + 2*p + 2*p**3 + 2*p**3 + 0*p**3 + 0*p**3 + (2*p**2 + 2*p**2 - 5*p**2)*(0 + 0 - p).\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 a when four letters picked without replacement from ddmwawxdwdmamwramrww.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -944703, -3778824, -8502357, -15115302, -23617659, -34009428?\n\"Answer: -944706*p**2 - 3*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.97 - -9. Sort 0.3, h, -2\/17.\nAnswer: -2\/17, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11124 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Let h(q) = q + 2*q + q**m - 1 - 4*q + 0*q. Let u = 694 + -692. What is h(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -6, -7*g + 9*g = -4*c - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-14) + (-8)\/20*-10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 3*a**2 + 14*a + 74. Calculate x(-4).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -6, 5*o = o - 2*l - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331645909 is divided by 486.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2013120 - 0?\nAnswer: 2013120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 126 = -n - 2*v, 0 = 2*v - 12. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 3*f**2 + f**2)*(-2 + 5 - 4) + 626*f - 1668*f**2 - 322*f - 304*f.\nAnswer: -1671*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1427 is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32887 = i - 4*g - 32875, 5*g - 8 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1285 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*j**5*k + 888*j**3*k**2*z + 48*j**2*k*z - j**2*z - 142*k**2 wrt j?\nAnswer: 1140*j**2*k + 5328*k**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 219 in -1\/2, -9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*g + 2)*(18 - 2 + 6).\nAnswer: -44*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20948 - 2*l**2 - 20663 - 20621 + 62232.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 0*i**2 + 3*i**2)*(i**2 + 5*i**2 + 0*i**2) + i**4 - 5*i**4 - 2*i**3 + 2*i**4.\nAnswer: -8*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (2 + -1 + 2) - (93 + (79 - 180))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 382042, 381927, 381800, 381655, 381486, 381287, 381052?\n\"Answer: -b**3 - 108*b + 382151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 4}. Give prob of picking 2 x.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594, 558, 522, 486, 450?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 582965463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**2\/2 - w - 227. Let f(d) = -d - 4. Suppose -8*o + 8 = -4*o. Give o*f(m) - 6*b(m).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1650)\/3255 - (-8)\/(-124). Let g = -259\/1599 + 1\/123. What is the closest to 1 in t, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 2. Suppose 4*l - 2 = 5*g - 15, -l = -2*g + 4. Let d be f(l). Let t = 9 + -5. Which is the second biggest value? (a) t (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133812 a multiple of 528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 4*q + 4*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 223.9085.\nAnswer: 20.151765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -77549455533426 - 10?\nAnswer: -77549455533436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - m + 10. Give h(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -38488*f**3 + 13584. Let g(h) = -7*h**3 + 4. Determine -3396*g(k) + l(k).\nAnswer: -14716*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2*s + 18 = -7, 3*w - 16 = 5*s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1545*p**4 + 435*p.\nAnswer: -18540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-8))\/(18\/(-8)). Let f = -238 + 242. Suppose -2*l + f = -4*s, 4*s + 8 = -0*l + 3*l. Which is the nearest to 1? (a) 8 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -405*j**4 - 4936725*j**3 + 3784155820*j**2 + 1682578380*j + 186980240 = 0.\nAnswer: -12913, -2\/9, 724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) 45\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*z + 34 = 0, 97 = 5*g + 5*z - 3*z. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -106, -104, -102, -100, -98, -96?\n\"Answer: 2*q - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -84329000 rounded to the nearest one million?\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**2 - 12*v**2 - 8*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 = -4*y, -3*y = -q - q + 4. Suppose -2*t - 3 + 7 = y. Suppose 0 = -f - 3*f - t*b + 278, 3*b = -4*f + 279. List the prime factors of f.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226, 240, 258, 280?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/36*4*-3. Calculate the remainder when 26 is divided by (r + 16)\/((-2)\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**4 - 29*o - 39 wrt o.\nAnswer: -8*o**3 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 10:29 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (18\/4)\/(42\/56). Let t be 11*(2\/(-10))\/(-1). What is s in 21\/5*s**2 + s**4 + t*s + 2\/5 + 17\/5*s**q = 0?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -67*w**2 - 10*w - 44. Let a(i) = -i**2 - 2*i + 1. Let b(d) = -5*a(d) + h(d). Differentiate b(s) wrt s.\nAnswer: -124*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 1, -2\/95, 0.3, -4?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - 13) - (55 + -64 + 14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501837837 to the power of 1\/3, to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307 + 532*j + 562*j - 307 - 1097*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 7:12 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, k: 2}. What is prob of sequence vkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h = -5*h - 50 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4602178 to the power of 1\/2, to the nearest integer?\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 62 = -3*b + 24, 0 = -4*b - 5*q + 117. Calculate the lowest common multiple of 11 and b.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2274*n**3 - n**2 - 2393*n + 2 wrt n?\nAnswer: 13644*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 87 = -94. Let i = b - -900. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (5327\/(-7) - -4). Let y(r) = -1 - 10*r - w*r**2 + 4 + 751*r**2. Determine y(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = -15*c - 2*y, -191*y + 188*y - 23 = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-1\/39)*l)\/l*l**(-14\/5)\/l)**8)**(-2\/5))**(-4\/3) assuming l is positive.\nAnswer: l**(-47744\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 4*v**2 + 2*v + 1. Let g be ((-8)\/(-20))\/(1\/10). Let q = g - 5. Let j(h) = -5*h**2 - 2*h - 1. Let s be j(q). What is w(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 237969?\nAnswer: 237969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 22. Suppose 5*g + 22 = -n, 29*n = 24*n - 6*g - 34. What is the nearest to p in 1\/8, -13, n?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -178 - -178. Which is the third biggest value? (a) m (b) 1\/26 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5281408.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 86736 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, g: 1, h: 4, c: 2}. What is prob of sequence rchg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {i: 7, m: 6, b: 1, d: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -209 less than -1048\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -801, -1880, -2973, -4086, -5225, -6396, -7605, -8858?\nAnswer: -10161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 2*l - 91. Let t be (-2)\/7 + l\/(-21). Sort 4, t, 3.\nAnswer: t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 3:29 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 6)\/(-3)*8\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312652 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 470 (base 15) to base 16.\nAnswer: 3ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 11. Let h be v(12). Suppose p = 5*s - 2*p, 5*p - h = 0. Let k = 19 - 13. What is the remainder when k is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.65756 centuries in millennia?\nAnswer: 0.165756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -454?\nAnswer: -22.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -18 + 48. Calculate the smallest common multiple of j and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 209815, 419619, 629417, 839209?\n\"Answer: -3*x**2 + 209813*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -7365\nAnswer: -1473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + 3*t. Let r(p) = 6*p**2 - 8*p. Let u(y) = -3*r(y) - 8*w(y). Let g(m) = 1 + m**2 - 1. Calculate u(g(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**4\/12 - n**3\/6 + n. Let j(z) = -4*z - 20. Let l be 1*-3 + (-12)\/4 + 0. Let x be j(l). What is b(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00474348041 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 - -111. Solve -2*h = u*z - h + 13, 0 = 2*z + 4*h - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -135 - ((-44 - 50) + 39)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 1:31 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3104 is divided by 73?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**3 - 9*n**2 + 258*n + 1906. Let u be z(-7). Put -2, -5, u in descending order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/54 - (-40)\/180\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {z: 2, a: 13, v: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 - (10 + -6)) + 107. Find the first derivative of 5*k**2 + 9*k**4 - 5*k**2 - o + 279 wrt k.\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + 7*n**3 - 6*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 885 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: Evaluate 1 + -1 + 64 + -60.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 2*d**2 - 2*d + 2. Let j be f(3). Let h = -5770 - -3460. Calculate the common denominator of 127\/6 and (-1 - -1) + (h\/96)\/j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 509*q - 979*q + 3 - 5 + 491*q to the form h*q + r and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6 + 6)\/10)\/(5 - 4). Solve 41*x + x + 84 = l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26717, -91791, -200249, -352091, -547317?\nAnswer: -785927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12, -5, -4, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*l - 22. What is c in 4 + 192*c + c**l - 2*c**2 + 3*c**3 - 4*c**3 - 188*c = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d + 33 = 4*q, 5*q - 5*d - 30 = 0. Suppose -4*p = -3*p + 4*i - 18, -5*i = -20. Suppose -q - 5 = -p*z. Let c(g) = -g + 1. Determine c(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*(-4)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38099, 78664, 119227, 159788, 200347, 240904?\n\"Answer: -w**2 + 40568*w - 2468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**3 + l**2 + 6*l**3 - 4*l**3 - 2*l**3 - 1. Let i be z(1). Is 8 a factor of (i\/5)\/(1\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -91, 12, 4, 11 in ascending order.\nAnswer: -91, 4, 6, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 450. Let d(s) be the third derivative of -s**5\/12 - 160*s**2 - 3*s. Calculate d(h(k)).\nAnswer: -20*k**2 + 9000*k - 1012500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 8 - 1. Let f(s) = -3*s - 10. Let v(y) = 2*y + 9. Let i(c) = x*f(c) + 4*v(c). Let r be i(6). Let m(u) = u**3 - u**2 + 5. Give m(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139.999881 + 140. What is i rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + z - 2. Let x be j(0). Let w(c) = 5*c - 1. Let s(v) = -26*v + 5. Let k(h) = 2*s(h) + 11*w(h). What is k(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 188*f - 546*f - 2194*f**5 - 1089*f**5 + 2066*f**5 - 2665*f**5 wrt f?\nAnswer: -77640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7774 = -r + c, 7*r - 5*r - 15534 = -5*c. Is r a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 24*y - 41. Let x be y\/12 + (-99)\/(-108). Solve -2 = 3*b - 7*b + i, -x = -3*b + i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 0*u**3 + 0*u**2 + 0 + 1\/6*u**4 + u. Let l(h) = -8*h**2. Determine i(l(n)).\nAnswer: 128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/8)\/(3645\/13770). Let s(i) be the third derivative of 26*i**2 + 0*i + 9\/8*i**4 + 0 + z*i**3. What is the derivative of s(b) wrt b?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311271 is divided by 155551?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 5. Let b(m) = -55*m + 107*m + 54*m**2 + 128*m**2 - 49*m. Let y be b(q). Round y to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, -5, 4, 5, 0 in increasing order.\nAnswer: -5, 0, 4, 5, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - v + 3*v = -21, -2*r + 3*v + 3 = 0. Let f(z) = 36*z**2 + z - 4. Is f(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -9. Suppose 2*u = h + 2. Solve 0 = -u*g - 2*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzuuuuuuuuuzzuuuuuzu. What is prob of sequence uu?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2944.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57143\/5 - 11403. Sort a, 0.2, -2\/9, 5, 4 in decreasing order.\nAnswer: a, 5, 4, 0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + 40. Let j = 33 - r. Let v = -24 - j. What is the closest to 1 in 4, -1\/4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**3*z - 2*c**2*z**2 - 10*c**2 + 3*c*z**2 - c - 8*z**2 wrt c?\nAnswer: -30*c*z - 4*z**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a**2 - 3*a - 11. Let w(l) = 3*l**2 + l + 4. Let d(t) = -4*h(t) - 11*w(t). Give d(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00390448379 rounded to six dps?\nAnswer: 0.003904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*k - j, -53 = 3*k - 166*j + 176*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630\/50*40\/6 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 411335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1815235190 to the nearest integer?\nAnswer: 42606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3686, -6726, -9764, -12800, -15834?\n\"Answer: t**2 - 3043*t - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 15*s**2 - 4*s + 4. Let h(f) = f**2 + f + 1. What is -6*h(u) + k(u)?\nAnswer: 9*u**2 - 10*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 0.45, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (23 - (-8 + 5))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2\/8 - 168039*c\/8 - 84021\/4 = 0. Calculate c.\nAnswer: -1, 56014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 869039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 1546*l**3 - 416*l**3 - 318*l**3 - l**2.\nAnswer: -2280*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -103224122 (base 5) in base 4?\nAnswer: -1230301201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 1:25 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/5 + 74*m**3\/5 - 378*m**2\/5 + 166*m\/5 + 124 = 0. What is m?\nAnswer: -1, 2, 5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110?\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 215 - 1?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17225867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -895 = -4*a - 271. Suppose 0 = -8*d + 2*d + a. Calculate the least common multiple of d and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/8 - 33*c**2\/8 - 21*c\/8 + 441\/8 = 0. What is c?\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/(-22))\/(1\/(-2)). Let h = 6 + f. Suppose -h*m - 3*l + 15 = l, 0 = 4*l. Solve 3*v + m = r, 2*r + 2*v = 7 - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5012 - 1.542. Let i = o - 1.9592. Let q = 2\/41 + 37\/82. Which is the smallest value? (a) -13 (b) i (c) -3\/4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -36.1. Let g = s - 2.10000148. What is g rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2675*d - 58854. Let a be y(22). Let g(f) be the third derivative of -5*f**4\/24 - 7*f**3\/3 - f**2. Let b(k) = 9*k + 27. Determine a*b(l) - 7*g(l).\nAnswer: -l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3698 - 3698.1. Let a = -122\/3 + 41. What is the second biggest value in a, p, 0.1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7948 divided by -4\nAnswer: 1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 2:02 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -210873\nAnswer: 147611.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c + 7*c)*(6*c**2 + 0*c**2 - c**2).\nAnswer: 50*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x - 4*f + 28 = 0, -12 = 2*x - 5*f. Suppose -558 = x*q - 1442. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00434734 to six decimal places.\nAnswer: -0.004347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**7\/840 + k**6\/240 - k**5\/20 + k**4\/12 - 3*k. Let l(q) be the third derivative of y(q). Factor l(r).\nAnswer: 3*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 34*n**2\/7 + 2036*n\/7 + 1056 = 0.\nAnswer: -56, -66\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + n**3 - 3*n**3 + n**3 + 4*n**3 + (-3*n**3 - n**3 + 2*n**3)*(-3 - 4 + 6) - 5*n + 5*n - 3*n**3)*(-2 + 2 + 5*n).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**11*q\/(q\/(q**(-6)*q))*q**(1\/3)*((q\/(((q**(1\/15)\/q)\/q)\/q))\/q*q*q**0\/q*q)**(-17) assuming q is positive.\nAnswer: q**(-1238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7*m*m**(-1\/3)*m*m*(m\/m**5*m)\/m**(1\/4))\/((((m\/m**4)\/m)\/(m\/(m\/m**(-6))))\/(m**(-1\/3)*m)**(-8\/5)) assuming m is positive.\nAnswer: m**(67\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m - 8. Let o(t) = t. Let q(k) = -o(k) + p(k). Let h(w) = -3*w - w + 3 + 0. What is 8*h(z) + 3*q(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4533 divide 220490283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -4\/5, -0.07, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(76)*2*-6*2)\/((sqrt(4) + (sqrt(4) - (-2*sqrt(324) + sqrt(324) + sqrt(4))))*5)*4.\nAnswer: 144*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 3*o - 5. Let l(a) = -5*a**2 - 9*a + 14. Let j be -4 + (45 - (-2)\/(4\/(-2))). Let v = 51 - j. Let c(w) = v*b(w) + 4*l(w). What is c(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 46 = -16. Suppose 18 = y*a - 27. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, n: 4, s: 2, h: 1}. What is prob of picking 1 n and 1 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 177 = 117. Let u be (24\/14)\/((-28)\/y). Solve -3 = -x + n, 0 = 2*n - u + 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 - 1 = b, -5*b = -15. Suppose -9*z + 2*g - 3122010 = -k*z, 5*z - 7804990 = 2*g. What is z rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 1. Let r be q(-1). Suppose -b + r*b - 5 = 0. Let u be b\/(10\/13204) + 2. What is u rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 - 88*h**2 + 60*h + 41. Let s be k(-30). Solve 0 = -s*y - 8 + 49 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (16 + (8 - 27))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 853782.4677 - 854153.2. Let m = -574.745 - s. Let t = -204 - m. What is t rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 0 - (-14 - -30). Let g be (4\/(-8))\/(4\/u). Solve 4*q = 3*b - 5, g*b - 2*q - q = 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9384 in 1, 0.06, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 22113783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 4651341502?\nAnswer: 4651341465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*sqrt(128) + (sqrt(32)*-6)**2 - (sqrt(20)\/(sqrt(10)*4) + (sqrt(2) + 4 + 2)**2)).\nAnswer: -177*sqrt(2)\/4 + 1119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56824 and 10?\nAnswer: 284120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.236 minus -21.64?\nAnswer: 29.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*u + 3*u. Let y be (0 + -39)\/(36\/48). Let m = 57 + y. Solve -u = m*n - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15334 - 15333.8. Put -1\/3, -2, 1\/3, 0.1, t in descending order.\nAnswer: 1\/3, t, 0.1, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35216 and 744.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362 + 256 = 116*q - 890 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56220344 and 77596.\nAnswer: 4084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3805, -7656, -11507, -15358?\n\"Answer: -3851*p + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 65 - 15. Is j at least -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35464 divided by -572.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q*q**4))\/q)**31 assuming q is positive.\nAnswer: q**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 3*p - 117. Calculate the remainder when 31 is divided by x(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -2068?\nAnswer: -7\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 1673893 and 0.1.\nAnswer: 1673893.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 8*f - 403. Let j(t) = -t**2 - 2*t. Give 4*j(r) + n(r).\nAnswer: -2*r**2 - 403","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 2*p. Let c = -372417\/20 + 18616. Calculate the common denominator of c and 359\/132 - 1\/p.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/250 and -61\/4.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u**2 + 424143*u - 424143*u.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -3, 0.1, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1294 - 1192 - 13*m**3 - 1192 + 3680.\nAnswer: -13*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-49)\/5)\/(-2 + 3). Let c = g + 9. Is c not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 39528\/3 + (-10 - -16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210298309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -24, -58, -128, -246, -424, -674?\n\"Answer: -2*s**3 + 4*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 1\/5, -12, -9, -0.03?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 7. Let j be (c + 4)\/(-2 - 0). Which is greater: j or -3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2087, -4142, -6163, -8150?\nAnswer: -10103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 20. Suppose 0 = 4*k + 2 - o. Calculate the least common multiple of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 20. Let n be -8 + 7 - p\/1. What is the tens digit of (-2)\/n - 209\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*u**4\/5 + 511*u**3\/5 + 578*u**2\/5 - 92*u + 72\/5.\nAnswer: (u + 2)*(u + 9)*(7*u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 4551276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 7*d**2 - 5*d + 4. Let n be z(4). Suppose 182*p + 192 = 186*p. What is the greatest common divisor of p and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 184\/7, -42, -1?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026497 rounded to seven decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/21 and -4\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujubuuuuhbhbujbruub. What is prob of sequence rbhj?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 155 and 15.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 5*l**7\/14 - l**4\/4 + 3065*l**3\/3 - 11054*l. Find the second derivative of o(z) wrt z.\nAnswer: 300*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 5*x + 3. Let v = 1089 + -1094. Give g(v).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -456, -870, -1284, -1698, -2112, -2526?\n\"Answer: -414*a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 + 13*k - 84100000. Let n be z(0). Round n to the nearest 1000000.\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/512 and 4\/14 + ((-22077)\/(-2016) + -11)*-124?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8179 + -4906. What is the greatest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-99))\/(24\/66)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375491 is divided by 1194?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 - 9 = -36*v. Solve -4*b - 24 = -v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41037+122.0251\nAnswer: 41159.0251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 p, and 1 r when three letters picked without replacement from zpovttr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6356 + 13996 + 14418 = -1159*l for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/5*(((-418)\/(-22))\/76)\/((-8)\/(-960))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3))**34*(c**(-1\/4))**(-4))**41 assuming c is positive.\nAnswer: c**(-1271\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.075, -7, 3\/5, 5 in increasing order.\nAnswer: -7, 0.075, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 8. Let i be v(-2). Suppose i*x + 32 = 10*x. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3020119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 186 - 929\/5. Which is the fourth smallest value? (a) -2 (b) p (c) 3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1859 + -1862.4. Which is the smallest value? (a) 6 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 3:48 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**6 - 2052*f**5 + 2*f**3 - 14014*f**2 wrt f?\nAnswer: -360*f**3 - 123120*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-126) - ((-964)\/(-420) - 2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 7*x - 3. Let r be z(-6). Suppose -19 = -4*d - r. Suppose d = 3*m - v - 29, 5*v + 5 = -m. Calculate the remainder when 38 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5088 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l + 5. Calculate q(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57438*c**4 + 6*c**3*y**2 - 4*c**2*y**2 + 2*c**2*y - 2*c*y**2 + 2*y**2 - 1 wrt c?\nAnswer: 1378512*c + 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/6075*-9*((-390)\/36)\/(-13).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 0.2, -124, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 9\/140182?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131.54538us to minutes.\nAnswer: 0.000002192423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -387 + 775\/2. Let q = 16 - 15. Let f = 0.04 - 0.44. What is the third smallest value in f, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-32)\/200)\/((-14)\/10)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53033515 by -461161.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34999.05 less than 0.2?\nAnswer: -34998.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = 3*v + 5, 21 = y - 2*v. Let u(j) = -j**2 + 13*j - 14. Let a be u(y). Solve -4*h + a*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -136, -458, -1000, -1762, -2744, -3946?\n\"Answer: -110*o**2 + 8*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppox when four letters picked without replacement from ppxxoooopo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 413, 820, 1225, 1628, 2029, 2428?\n\"Answer: -u**2 + 410*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m - 49. Let k be l(-6). Let r(a) = -a**2 - 2*a + 4. Let j be r(-4). Let o be (10\/j)\/(15\/(-12)). Solve -o*n + 12 = -k*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 17\/7, -0.2212, 5, -1, 0.2, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 201333233 (base 4) to base 8\nAnswer: 417757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 28 - 11 + 64. Suppose 0 = i - 4*f - 82, -i + 4*i = 4*f + 246. Which is bigger: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 125012538?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1 + (3 - 1 + 0)*(-3 - 14 - 3))*(-4*d + 3*d + 0*d).\nAnswer: 41*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 27. Let y = -8 + h. Let t be ((-8)\/4 - 3)*-1. What is the smallest value in y, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -3\/7, -0.5, 1\/2, -248380, -1\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 980 and 6310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-340) - 1746\/29682?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24718 divided by -3?\nAnswer: -24718\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/13)\/l**(-15\/4))\/(l\/l**(-5\/3)*l\/(l**(-3\/10)*l*l)) assuming l is positive.\nAnswer: l**(1271\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.5 (c) -2\/9 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 - -10 - (14 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277 or 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 406, -2 in ascending order.\nAnswer: -2, 1, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1647)\/(-366))\/(598\/(-8) + 0) and -77\/46.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(968)*-2)\/(sqrt(72)\/sqrt(2)).\nAnswer: -22*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12.1, 8.81, -4\/3 in decreasing order.\nAnswer: 12.1, 8.81, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1515 + -1496. Put -20, 2\/3, d in descending order.\nAnswer: d, 2\/3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*-7*27\/(-252)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.0822, -0.2, 0.3, 1 in decreasing order.\nAnswer: 1, 0.3, 0.0822, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -7\/252559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.17. Let j = -77.07 + 75. Let t = j - h. Do t and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192 + -87. What is the remainder when t is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 v when three letters picked without replacement from {v: 2, l: 1}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37355614 + 0.3.\nAnswer: 37355614.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 - (-54)\/24*-4. Solve n*f = -6 + 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 137358, 549668, 1236852, 2198910?\n\"Answer: 137437*m**2 - m - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/10 and -8 - -8 - 25\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6131567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/13 + 505792*k\/13 - 3034680\/13.\nAnswer: -2*(k - 252890)*(k - 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 13 = -109. Let r be (3\/2)\/((-9)\/u). Let j be (-5)\/(-9) - r\/36. Which is greater: j or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - v + 51 = 0, -2*j = 5*v - 7 - 80. Suppose -20 = 3*x - j. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74006 less than 8.28498029?\nAnswer: 74014.28498029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 925631, 1851282, 2776951, 3702638, 4628343, 5554066, 6479807?\nAnswer: 7405566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855.\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 7\/4250059 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/43740*36)\/(86\/36).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 71. Let r = c - -18.962. Is r < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*l*s**6 - 775*l*s**4 - 2*l*s**2 - 4339*l - 2*s**4 wrt s.\nAnswer: -960*l*s**3 - 18600*l*s - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**5 + 8*t**4 + 32*t**3 + 8*t**2 - 28*t - 16.\nAnswer: -4*(t - 4)*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -4. Suppose -4*l = 31 - w. Is ((-3)\/l)\/((-1)\/(-154)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 228 - 198. Suppose 0 = -3*v - 4*r + 21, 5*v - 24 = -2*r - r. Let c = v - -6. What is the remainder when h is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 - 7*r - 19. Let t be n(-7). Let q be (-1*1)\/(t\/50). Let p = -19\/2 + 47\/5. Which is the smallest value? (a) p (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3647*q - 3643*q + 44, -5*q - 73 = -3*c. Solve c = -22*t + 13*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 7. Let a be n(5). Let s be a\/(-5) + 18\/5. Solve 5*w = -s*q + 30, 0 = -2*q - w - 9 + 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 = 2*o, -29 = -v + 3*o - 8*o. Suppose 0 = v*p - 1 - 7. Factor 1\/4*u**3 + 1\/4*u**4 + 0 - 1\/4*u**p - 1\/4*u.\nAnswer: u*(u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or -203\/3?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/1092 - (22\/(-231))\/(12\/9)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65390246 + 3846346.\nAnswer: -61543900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4287895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 2. Suppose m*b - 28 = 4*b. What is the smallest common multiple of 6 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 2\/15, -2\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153)*-6)\/((2*sqrt(63))\/sqrt(7)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0*m**2 - 4*m - 3\/2*m**3 + 0. Let w(y) be the third derivative of y**5\/20 - 4391*y**2. Calculate w(s(c)).\nAnswer: 243*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) 0.07 (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371*p + 375*p - 2*h - 52 = 0, 28 = p - 3*h. What is the lowest common multiple of 5170 and p?\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**(-1)*i))**(-24\/5)*(i**2*i)\/(i\/(i*i**(1\/7))))**49 assuming i is positive.\nAnswer: i**(4298\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 24*z**2. Suppose -2*p = 4*v + 134, -352 + 9 = 5*p + 2*v. Let o = 71 + p. Let k(a) = -2 + 2 + 0*a**o + 2*a**2. Give b(k(y)).\nAnswer: 96*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*21\/(-98) - 251\/308. Let j = -3\/22 - o. Which is the second biggest value? (a) -11 (b) j (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 76\/7, 0.05, -6, 59 in descending order.\nAnswer: 59, 76\/7, 0.05, -5\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 178202 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-10) - 4) + (354\/(-30) - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 3*h - 10. Let q(b) = -14 + b**2 - 7*b + b + 9*b + 1. Let z(w) = 3*q(w) - 4*r(w). Give z(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 + 1. Calculate x(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54664359 divided by -53.\nAnswer: -1031403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 0.2 (c) 4792 (d) 4 (e) 1 (f) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.26 + -0.05. Let v = 0.21 + p. What is the closest to -1 in 3\/7, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.47 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16196756*b*j**2 - 145*b*j - b + 733*j + 2 wrt j?\nAnswer: -32393512*b","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (7 + -21) - (-80 + 0 + -8)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, m: 3, d: 1, y: 2, z: 1}. Give prob of picking 1 u and 1 m.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 52*z + 39. Let w be a(-11). Let p = w - -754. What is the greatest common divisor of p and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88\/3 + 30. Let h = -100 + 178. Let m = h + -73. Sort v, -3\/5, m in descending order.\nAnswer: m, v, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60559484 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -9*m - 15. Solve -m*c - 8 = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29378 - -29390. Solve 142*w - r = 148*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 882 + -874. Solve 2*t = -5*h - 10, -3*t + q = -4*h + 23 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2a05 (base 12) to base 5\nAnswer: 124101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 417239.8 - -56\nAnswer: 417295.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (0 - 1) - (16 - 22). Suppose 764 - 5520 = -u*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 6*b**2 + b + 2. Let q be a(6). Suppose 0 = -3*l + 35 - q. Let c = 235 - 136. Calculate the greatest common divisor of c and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 11. Suppose 0 = 5*n + 2*w - 65, -6*n + 3*n + 3*w + 60 = 0. What is the remainder when 3065\/75 + 2\/n is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(2*l + 2 - 2) + 5 + l - 5.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/7557 and -16\/25404115?\nAnswer: 76212345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.26 - -0.04. Suppose -15 = -4*s + 9. Suppose 7*n = s*n + 1. Which is the smallest value? (a) -2 (b) n (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35638114.7 rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 18*z + 4. Let r be n(18). Suppose -359 - 73 = -r*i. Does 12 divide (i\/(-14))\/((-21)\/196)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b48 (base 15) to base 5.\nAnswer: 142133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3146131914 to 3 decimal places.\nAnswer: 0.315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36407851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 5\/3 (b) -4\/3 (c) -3 (d) -116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*o + 997121 + 87681, 1084798 = 3*o - m. Round o to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 11:06 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -13*l**2. Let i(r) = -21*r**2 - 4*r - 1. Let t(m) = 1315*m**2 + 20*m + 5. Let x(k) = -5*i(k) - t(k). Give -561*d(z) + 6*x(z).\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3627.255 + 0.315.\nAnswer: 3627.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -13*w + 25*w - 16*w - 38*w - 164. Is 13 a factor of i(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007996462 to four decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**3\/3 - f**2\/2 + 223*f - 1. Let b(l) = -l**2 + 4*l + 4. Let q be b(5). Calculate u(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/193 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, -3, -5, 9 in increasing order.\nAnswer: -10, -5, -4, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/27 in 11\/3, -5\/2, -1\/6, 0.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Suppose -l*o - 150 = -7*o. Let x be 44\/33 - 1326\/(-18). What is the highest common factor of x and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1701*c - 72771. Determine r(44).\nAnswer: 2073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.4184 - -0.3\nAnswer: -1.1184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -49)*368\/(-24). Let i = h - -1108. Suppose 0 = 3*o + o - i. Is 31 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 23.9515. Let m = 17.95 - 18. Let g = m - q. What is g rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 10*k + 6. Let d be t(9). Suppose -d = -4*r + 5. Factor r*u - 5*u - 3*u + 3*u**3 + 3*u**2 - 3*u**4.\nAnswer: -3*u*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*a - 347980 = 5*x, 5*a - 173980 = x. Round x to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -105.22?\nAnswer: -105.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*r + 26, r = -4*i - 0*r + 179. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/5 - 206448\/21160)\/((6\/8)\/(-3))?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993132890 rounded to the nearest 1000000?\nAnswer: 993000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 13*g - 23. Let j be n(8). What is the nearest to 0.2 in -2\/7, j, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 254 + -223.4. Let x = -30 + q. What is the second smallest value in x, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 - 807\/8. Let g(n) be the third derivative of 0 - 1\/2*n**3 + 0*n + 2*n**2 - q*n**4. Find the first derivative of g(k) wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10600?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -103 - -9674?\nAnswer: 9571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 7:06 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18212514 + -11732514. Round v to the nearest one hundred thousand.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5*y + 22 = -2*u, -18 = 5*u + 2*y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + -7. Are -71 and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*j**2 + 4*j**3 - 215*j**2 - 2*j**3 - 3*j**3 + 13*j**5 + 3*j**3 wrt j.\nAnswer: 780*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 5070*n + 10128.\nAnswer: 3*(n + 2)*(n + 1688)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 181*o + 10*o**2 + 88*o - 200 + 93*o to l*o**2 + t*o + f and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 316.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -2. Let k be 2\/4 + x\/4. Let d be 124\/12 - 6 - (-4)\/6. Solve -5*h - d = -5*c, -2*c + k*c = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1211*l = 1222*l + 11. Which is the closest to -0.1? (a) l (b) -0.2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1517*k - 61900. Calculate b(41).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfj when three letters picked without replacement from {x: 1, c: 6, f: 3, j: 4, h: 1, r: 4}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000010111010 + -1?\nAnswer: 1010000010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1. Let o(g) = g + 6. Let f(r) = -o(r) + 6*v(r). Let q(i) = -3*i. Determine q(f(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 8:31 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537716*h + 537716*h + 59*h**2.\nAnswer: 59*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 5*c + 1. Let w be z(-5). Let i be 0\/(w\/(2\/4)). Suppose 0 = u - i*u. Is u >= 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/((y**(-1\/3)*y)\/y))\/y)\/y**9)\/(y\/y**(-2)*y)**(5\/7))**18 assuming y is positive.\nAnswer: y**(-1452\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19699.\nAnswer: 19699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13488 - -2?\nAnswer: -13486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(1100)\/sqrt(4) - sqrt(11)) + 1 + -5)*-2)**2*-3.\nAnswer: -2544 + 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 463195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1056404 - -2?\nAnswer: -1056402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002 a factor of 123451410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 17*g**6\/3 + 4*g**3\/3 + 9*g + 46. Find the third derivative of a(b) wrt b.\nAnswer: 2040*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10*z. Let l(m) be the third derivative of -2*m**5\/15 + 31*m**2. What is l(n(y))?\nAnswer: -800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 + (-1 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 4222082.2?\nAnswer: -37998739.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/709 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 4*c + 8, 5*d = -4*c - 516 + 507 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/3 + 124*u**2\/3 - 2464*u\/3 - 78400\/3.\nAnswer: 4*(u - 25)*(u + 28)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*z - 15 = 5, 0 = 3*k + z - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*z = 46 - 1831 - 381 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/17)*w**(7\/4))\/(w**(6\/11)*(w*w**(7\/2))\/w) assuming w is positive.\nAnswer: w**(-1057\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18572 + -8745. What is the thousands digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -674 - 17316?\nAnswer: -20212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 68, 134, 200, 266, 332, 398?\n\"Answer: 66*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 852 - 851.999988656. What is j rounded to seven decimal places?\nAnswer: 0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*k + k, -3*x + 4*k = -14. What is the third derivative of 3*q - 3*q + 4*q**2 + 3*q**6 + 2*q**x wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34564063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -12. Let p = 99\/4 - k. Factor 1\/2*s**2 - p*s - 1\/2.\nAnswer: (s - 2)*(2*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -2849 (c) 26.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 256176 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 h be (-1)\/15*(438 - 444). Sort 14\/5, 0, -4, 2\/43, h in decreasing order.\nAnswer: 14\/5, h, 2\/43, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.3 (b) -0.056 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 3120.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -63, 11, 2430 in descending order.\nAnswer: 2430, 11, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inddddindxnniddddd. Give prob of picking 3 d and 1 i.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**2 - 21*p**2 + 1 + 7*p**2 + 62*p**2.\nAnswer: 32*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -1603?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 174474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2244 is divided by 160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 10:52 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-8 - (-1 + -2))\/1 + (13352 - 24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/4 + 9155*r**3 + 8048491*r**2\/2 - 8075957*r + 16170225\/4 = 0?\nAnswer: -36175, -447, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82\/5 - 84\/5. Let p = -2 - -2.1. Let v = -0.1 + p. Which is greater: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-29 - (-17 - 8))*12\/376)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-167874*o + 2*o**2 + 160 + 827 + 167872*o - 5*o**3)*(0*o - 3*o + 2*o) as f*o**2 + c + k*o**3 + x*o**4 + i*o and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2. Let j(w) = 13514*w - 638. Let s(d) = -85*d + 4. Let y(n) = -2*j(n) - 319*s(n). What is f(y(g))?\nAnswer: 22707*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) + 0)*5 - sqrt(208)) + sqrt(208) + -3 - (-5 + (1*(sqrt(208) + 3))**2))*6.\nAnswer: -1290 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.142368721 and 0.3.\nAnswer: 0.0427106163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 0*h**2 + h**3 + (h**2 - 2*h**2 + 3*h**2)*(h - 2 + 2) + (4*h - h - 4*h)*(-3*h**2 + 2*h**2 + 3*h**2) - 23*h**3 - 37*h**3 - 5*h**3.\nAnswer: -64*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2230541 (base 7) to base 6.\nAnswer: -5531325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 65212 - -2?\nAnswer: 65214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 567474570 at least 567474570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 112*i + 44. Let y be d(4). What is y rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 19. Let p = -8 - -11. Let o(g) = -3 + p + 2 - 3*g. Let u(y) = 2*y - 1. Determine a*u(j) - 3*o(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 3. Let p(t) be the second derivative of -5*t**3\/6 - 7*t**2\/2 + 2*t + 2589. Calculate 3*p(f) + 5*v(f).\nAnswer: -5*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -242, -542, -962, -1502, -2162, -2942?\nAnswer: -3842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(9\/2)))**32 assuming r is positive.\nAnswer: r**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 + 46*p**2 - 2132*p\/9 - 848\/3.\nAnswer: 2*(p - 6)*(p + 1)*(p + 212)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3264 = -h + i + 3358, 2*h - 188 = -2*i. Calculate the greatest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -17) + (-15 - -21) - (-37 - -21)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -812230 and 4.\nAnswer: -3248920","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13264 + 1762?\nAnswer: -11302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 7:04 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/3168 and -25\/2464?\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -4, 1, -29964, 2, 0 in increasing order.\nAnswer: -29964, -4, 0, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24885 and 11553276.\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 6940188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77666, 155330, 232992, 310652, 388310, 465966, 543620?\nAnswer: 621272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(1\/5)))\/y*y*y\/(y**(-2\/3)*y))\/((y*y**(-1\/4))\/y**(-2\/5))*y**(1\/2)\/y**(3\/5)*(y**(1\/4))**31 assuming y is positive.\nAnswer: y**(209\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2160)\/105)\/12*(-7)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*g + 2*d + d, -5*d + 5 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + -4 + (-27)\/(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 14*u + 3076 = 12*u, 0 = -5*u + 20. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.194 - 6.208. Round d to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125140 (base 14) in base 6?\nAnswer: 21250152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 121 + 68 + 3*w - 7 + 0*w + 24 in the form d*w + y and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 + 5132*w - 1361360.\nAnswer: 2*(w - 260)*(w + 13090)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - k + k**2)*(k - 2*k + 2*k) - 23 + 23 - 5*k**3 + 4831 - 3*k - 4885 - 2*k**3 - 7*k**3 to the form v*k + y*k**3 + t*k**2 + l and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1713777 or -1713780?\nAnswer: -1713777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*k**2 - 329 + 3*k + 339 - 3*k wrt k?\nAnswer: 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28152 divided by -6?\nAnswer: -4692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.16 - 0.84. Let j = 32849.000025 - 32850. Let a = c - j. Round a to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4514 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7.43, 78, -0.3, -4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/11)\/t*t)**(15\/2)\/(((t*(t\/t**(-1))\/t)\/t)\/t**(5\/6)) assuming t is positive.\nAnswer: t**(-101\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 3*w**5\/20 - 7*w**4\/6 - 2*w. What is the third derivative of y(u) wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22, 22, 6, -26, -74?\n\"Answer: -8*g**2 + 24*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30996a (base 11) to base 12.\nAnswer: 1bb261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81044 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 22864184\nAnswer: -3\/22864184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43667.8l?\nAnswer: 43667800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24\/11 - -98\/55. Let h(d) = 9*d + d**2 - 8*d + 5*d + 3. Let j be h(-4). Which is the third smallest value? (a) f (b) j (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8517.\nAnswer: 3, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1335344 divided by -8\nAnswer: 166918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -563071800 by -10.\nAnswer: 56307180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 11*i**2. Let q(l) = -7*l**2 - 4*l - 4. Let h(z) = 6*z**2 + 3*z + 3. Let f(y) = -4*h(y) - 3*q(y). Determine d(f(o)).\nAnswer: 99*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 5 - 6 + 3 + 0. Let w be j(-13). Suppose u - w = 22. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 203*m - m**3 - 812*m**2 + 2 + 402*m**2 + 410*m**2 + 0*m**3 in the form y + c*m**3 + x*m + f*m**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133241759, 133241758, 133241757, 133241756, 133241755?\nAnswer: 133241754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 10*b - 15*b + 7*b - 22. Calculate the remainder when 15 is divided by p(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyxhyhyhy. Give prob of sequence yh.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41\/656 + (537810\/(-32))\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 36*t - 109 = 22*t, -32 = -4*w + 4*t. Suppose -20 = -2*f + 80. What is the remainder when f is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 14715.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24563 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1059*x**2 - 1057*x**2 - 9 + 319*x + 7)*(-2*x - 2*x - 2*x).\nAnswer: -12*x**3 - 1914*x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 5*d + 12. Suppose 3*g - 24 = -g. Let h be k(g). Let m(p) = -p**2 + 7*p - 4. Give m(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 - -367\/5. Let h = -2483 + 2500. Which is the biggest value? (a) i (b) h (c) 1\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from gshhtggthtogtth.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(3\/(-45)*2). Is u bigger than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -157128 * 0.06.\nAnswer: -9427.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + -3*sqrt(36)\/sqrt(3))*3)\/(sqrt(256) + (sqrt(256) - (sqrt(256) - sqrt(256)*2 - sqrt(256))*4) + sqrt(256)).\nAnswer: -3*sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-209 + 226 - (1 + -3 + 1)) + -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, 188.3, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13339 by 1.\nAnswer: 13339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b = 6919 + 99461 + 820. Calculate the highest common factor of 402 and b.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -3\/2*p**6 + 156 - p + 0*p**5 + 21*p**2 - 11\/3*p**3 + 0*p**4. What is the second derivative of b(c) wrt c?\nAnswer: -180*c**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*n + 6*o + 193, 2*n = -o + 163. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4299599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, 0.64, 3\/2, -0.1, -1\/2, -3 in ascending order.\nAnswer: -3, -1\/2, -0.1, 0.64, 3\/2, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -756447 and -34277.\nAnswer: -790724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11*k - 7. Let u be a(1). Calculate the remainder when 1128 is divided by -2*(8362\/(-111))\/(u\/3).\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -6 (b) -0.2 (c) -8\/5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 2028122200.\nAnswer: -2028122199.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/2029 or 0?\nAnswer: -30\/2029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3\/5 - 74852*l**2\/5 - 929318*l - 72051936\/5 = 0.\nAnswer: -31, 37488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 228846121 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 10:16 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1845.2683 + 0.2683. Let u = k - -2016.6. Round u to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 316 and 3759452.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 2. Let v(f) = -f + 3. Let j(q) = 3*m(q) + 2*v(q). Let n(l) = 25*l**2 + 19*l**2 + 16*l**2. Give n(j(h)).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 18. Let u be h(4). Suppose u*l = 2*j + 2*l - 24, -5*j - 2*l = 0. Find c, given that -6*c**3 + 0*c + 0*c**j - 6*c**4 + 0 - 3\/2*c**5 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*m**3 + 4*m**2 + 248567*m - 584864632 with respect to m.\nAnswer: 18*m**2 + 8*m + 248567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2204.626 nanometers to kilometers.\nAnswer: 0.000000002204626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 20 = 6. Let s(f) be the third derivative of -f**5\/60 + 3*f**4\/8 + 11*f**3\/6 - 85*f**2. Let j(h) = 4*h + 5. Give g*s(u) - 5*j(u).\nAnswer: -2*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from qqbwbmvwmwbbwwbqwbwb.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117244 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 6832*t**2 - 47787*t + 81900.\nAnswer: -(t - 6825)*(t - 4)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffi when three letters picked without replacement from uuieizzuueiieufiefz.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37449150 by -215225.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1801, -4063, -6351, -8665, -11005?\nAnswer: -13371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2249889?\nAnswer: 3, 43, 107, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**5 + 8181*m**4 - 98*m**3 - 119666*m**2 - 28*m?\nAnswer: 240*m**2 + 196344*m - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 - 988363563826?\nAnswer: -988363563750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 5*s**2 - s + 8. Let t be x(-4). Does 11 divide (-7)\/(t\/(-8)) + 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7*a + 18 = -4*a, 2*u - a = -8. Let j be (-1)\/((-2 - -3)\/u). Suppose 90*k - 148 = 75 + 137. Solve -k*d + f = -5, -4*f = -j*d - 0*f - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 14 + 120 = -3*m, 5*m + 253 = 2*l + 40 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + b - 8488 = 0, -4*n + 64*b - 69*b + 33946 = 0. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -365, -2768, -9241, -21818, -42533, -73420, -116513?\n\"Answer: -339*q**3 - q**2 - 27*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 31726*m + 31728. What is b(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/20 and 65\/17181832.\nAnswer: 85909160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 63551478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*20.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 0*y - 9\/130*y**5 + 9 + 3*y**2 + 2\/39*y**3 + 1\/52*y**4. Let h(d) be the second derivative of n(d). Factor h(k).\nAnswer: -2*(3*k - 1)*(9*k + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73772 is divided by 9073?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 8:26 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-324)\/(-1458) + (-1168)\/18*-11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31047, 4, -1 in increasing order.\nAnswer: -31047, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 373.61 + -367. What is u rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3558, 6826, 10298, 13968, 17830, 21878, 26106, 30508?\nAnswer: 35078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70754?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -19. Let p(i) = 700*i - 89. Is p(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1449, 1775, 2303, 3129, 4349, 6059, 8355?\nAnswer: 11333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 + 13*h + 5. Let y be c(-3). Let f be (-1 + y\/(-4))\/((-267)\/(-356)). Is f > -14\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from {l: 1, w: 2, i: 5, u: 2, x: 2, s: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 - -29.1. Let x = 30.9183 - p. Round x to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 2*k**7\/105 - 2*k**6\/15 + 2*k**5\/15 + 2*k**4\/3 - 2*k**3 + 2*k**2. Factor c(n).\nAnswer: 4*(n - 3)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9356 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 95 and 1194183245.\nAnswer: 1194183340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 17 - 4*g - 39 - 4*g. Let n be k(-5). Suppose 5*r - n = 2*r. What is the smallest common multiple of r and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548820726.\nAnswer: 2, 3, 91470121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.024727 decades?\nAnswer: 1082.96724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3143334 + 1341?\nAnswer: -3141443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 + 1 + 2\/1. Let i(j) = j**3 + 4*j**2 + 3*j. Let p be i(-2). Let t be p\/q + (-1800)\/21. Round t to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 1, q: 1, g: 2, p: 1, w: 2}. What is prob of sequence pw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237991952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1515, 637, -241, -1119, -1997?\n\"Answer: -878*b + 2393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-66) - (-13 + (-5499)\/(-429))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 46.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 14. Let b be g(7). Suppose h - 4*h - 3 = b. Is (-28 + -3)\/(h - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 428*i**3 - 462 wrt i?\nAnswer: 1284*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -16007 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.63 and -1.2.\nAnswer: -1.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 568 = -l, 7 = l + 3. Let s = v - -31. Does 38 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 949.5 - 949.6. Which is the fourth smallest value? (a) -24 (b) -2\/19 (c) -1\/2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -7\/3, -2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100010010 - 10110101100?\nAnswer: -1010010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3596039.25 - 0.0215\nAnswer: -3596039.2715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 + 462*p**3 + 9114*p**2 + 62426*p + 144060.\nAnswer: 2*(p + 7)**3*(p + 210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 4*h + 2. Let y be r(-4). Suppose -3*w + 2*d = -y*d - 123, 5*d = 0. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(4 + -1 - 169\/26). Suppose -1140 = -5*t - k*t. List the prime factors of t.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1768 and -0.1.\nAnswer: 176.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 230*h**2 + 212*h + 3886. Give t(229).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1) - (-567893 + (1 - 9)). Round l to the nearest ten thousand.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2596 = 4*g, 0*a = 5*g - 4*a - 3251. Let m = -250 + g. Suppose 2*h = -4*d + 1588, 0*d + d - h - m = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 51.5254\nAnswer: -20.61016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 877723.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421*z + 220*z + 217*z.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -746320*n**3 - 17270288 wrt n.\nAnswer: -2238960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 136085, 272288, 408487, 544682?\n\"Answer: -2*i**2 + 136209*i - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 2790*x + 257894. Calculate i(-87).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2495 is divided by 357?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1403311326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 71?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -59\/19, -5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/91188 and -47\/63325.\nAnswer: 2279700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2 - 497742*q + 22394340 = 0 for q.\nAnswer: 45, 248826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 54. Suppose d - 4*w = -26, o = -2*d - 3*d + 5*w. What is the units digit of 4\/d*(-18)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1)**23\/(w*w**(-2\/3))**(-20) assuming w is positive.\nAnswer: w**(158\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3113*n**3 - 4036*n - 1.\nAnswer: 18678*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 72. Solve -6*n + 14 = p*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 94*a - 2211. Give i(-49).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utxotuoutvb. What is prob of picking 2 t and 2 u?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2110)\/(-633))\/((-4)\/9 + 2\/(-9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36697426 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 55 - 547*i**2 - 22 - 20 as l + z*i**2 + y*i and give z.\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.262, 2\/21, -1\/7?\nAnswer: 0.262","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/11 - 3820*w**4\/11 - 3750*w**3\/11 + 129700*w**2\/11 - 213808*w\/11 = 0. Calculate w.\nAnswer: -1909, -7, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1. Let n(c) = 2*c**2 + 7. Give 4*n(q) - 28*t(q).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1493 + -0.8507. Let s(j) = j**3 + j + 1. Let r be s(0). Which is the closest to 1? (a) g (b) -3\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (175 - 175 + 5*p)*(2*p - 3 + 3).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1180\/(-1593)*6\/4\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(0 + 3) - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 6195 = -3*q - 6189, -3*f = 7*q - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2426*y**5 - 25*y**4 + 4*y**3 - 2*y**2 - 567302*y wrt y?\nAnswer: -145560*y**2 - 600*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -110*z**3 - 11 - 45*z - 14 - 9 - 11. Let d(t) = -5*t**3 - 2*t - 2. Calculate 2*a(b) - 45*d(b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2.5685+-0.1\nAnswer: -2.6685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**5 - 2*k**4 - 37*k**3 + 27*k**2 + 27*k?\nAnswer: 240*k**2 - 48*k - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/6 + 2\/4. Let h(g) = 10*g**2 - 3*g - 2. Is h(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/35)*p**(-20)*(p**(-3\/5))**4 assuming p is positive.\nAnswer: p**(-782\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 279 and 6.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m - 10*m**2 + 15*m**2 - 35*m.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - x + 243*x**2 + 722*x**2 + 714*x**2.\nAnswer: 1679*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 35894584*h**2 - 35894386*h**2 + 14*h + 51*h as c*h + p + w*h**2 and give w.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {j: 5, z: 15}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 w when three letters picked without replacement from cccwwwwcwwwwcw?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (sqrt(5) - (-1 + (sqrt(15)\/sqrt(3))**2)))*-1 + 0.\nAnswer: -54 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 2, c: 1, f: 2}. What is prob of picking 1 d and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 35. Suppose 113 - 33 = 4*y. What is the greatest common factor of y and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 11 + 171 = 26*r, -2*r + 104 = 5*y - 3*y - r for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 213, -170 in descending order.\nAnswer: 213, 5, -3, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -389 + 1577?\nAnswer: 11dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 1\/3, -2, -1.61, 34\/5, -3 in ascending order.\nAnswer: -3, -2, -1.61, -3\/4, 1\/3, 34\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 267.5 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (99\/63 - 2)*(-49)\/462\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 9*v**2 + 9*v - 4. Suppose -9 = 4*z - 29. Suppose z*o - 38 = 2. Let n be t(o). Solve 0 = -0*w - n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.68 - 1.32. Which is the nearest to 0.6? (a) -0.2 (b) -2\/13 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1152 + 7*w - 1152.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 - 10106.\nAnswer: -10061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -783734032711 - 0.16.\nAnswer: -783734032711.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w\/(w**(-2\/3)*w))\/w)*w)\/w*w)**(-2\/25)*w**(-1\/4)*w\/(w**(3\/5)\/w)*w*w*w assuming w is positive.\nAnswer: w**(1213\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2. Let v(x) = -5*x - 5385067. Determine v(h(k)).\nAnswer: -10*k**2 - 5385067","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v - 19. Let j be s(15). Let p = -38 + j. Calculate the greatest common divisor of p and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72586*l*y**3 + 14*l*y**2 + 2*l*y + 2674912*l + 2*y**3 - 2*y**2 - 6 wrt y?\nAnswer: 435516*l*y + 28*l + 12*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-14\/5))\/(h*h**(-3)*h) assuming h is positive.\nAnswer: h**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.2. Let h = -0.3 + n. Let b = -1.5 - h. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 9:42 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 898*y - 32720.\nAnswer: -2*(y - 409)*(y - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 0. Suppose r + 870 = p*r. Suppose h - 4*f - r = 0, 4*h + h = -3*f + 389. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -236.96779 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*r**3 - 46*r**3 - 35*r**3 - 42*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21712 and 64900?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from llkhkktkkkxxkhxkxx.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -64 + 11 - 6*c + 35*c. List the prime factors of f(14).\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*p - 2315*p - 896*p + 223*p - 1486*p to v + h*p and give h.\nAnswer: -4407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 1. Let v(y) = 4*y + 1. Let k be 2\/(-15) + (-416)\/480. Determine k*v(d) + 2*j(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(368 - 908 + 296)*(-f**2 + 4 - 4)*(4*f**2 + 0*f**2 - 6*f**2 + (-f + 2*f + f)*(6*f + 0*f - 4*f) + f + f**2 - f).\nAnswer: -1464*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*-4*-2*5.\nAnswer: 320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 16*m**2 - 7*m - 5. Let o(a) = 3*a**2 + a. Determine 6*o(q) - v(q).\nAnswer: 2*q**2 + 13*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6383 + 6383 - 5*h**2 - 12*h**2 + 3*h**2 + 2*h**2.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 651 and 0.004307888.\nAnswer: 651.004307888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -23*o - 80. What is x(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 33. Let z = -3 - -1. Put d, z, -5 in increasing order.\nAnswer: -5, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 - -959.\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3, 2\/597?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31886, -66650, -101414, -136178, -170942?\n\"Answer: -34764*z + 2878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4033052?\nAnswer: 2, 1008263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1252, -32, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109539?\nAnswer: 3, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6967 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: Let l(n) = -n**2 - 132049*n - 2. Let z(k) = -2*k**2. Determine l(z(o)).\nAnswer: -4*o**4 + 264098*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Let d(k) = k**3 - k**2 + k + 14. Let c be d(n). Let b = c + 2. What is the remainder when 46 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9504?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0, -21, 2\/179, -128\/23, 1 in ascending order.\nAnswer: -21, -128\/23, 0, 2\/179, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as 952.93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d, 0 = n - 8*d + 3*d + 5. What is the nearest to 1\/4 in -3, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*m = 45, 0 = 2*z - 6*z - 5*m - 65. Let y = z - -7. Suppose -2*f = -h + 2, -4*f - 2*h = 2*h + 28. Is f less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -251\/11 + 23. Let o = 0.1078 + -1.1078. Which is the closest to -6? (a) g (b) o (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 116353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {b: 4, a: 3, g: 1, e: 1, u: 2, x: 7}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -44.7386?\nAnswer: 44.4386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*w - 29 = 3*x, 10 = -2*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.27 + -2.67. Which is the closest to 1? (a) p (b) 4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/32)\/((-342)\/8)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 11. What is the derivative of z*l - 2*l**2 - 11*l + 3 wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -736*a + 11705. Let g be c(16). What is the smallest value in g, -1, -1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 7*p + 15, -424*p = -213*p - 213*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -c + 2, -3*c - 6 = -4*v + 20 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**3 + 1 - 6*x**3 + 6*x**4)*(0*x - 7*x + 3*x).\nAnswer: -24*x**5 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 84229385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 35, 47, 55, 59, 59, 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 10*b**2 + 5. Let q be s(10). Suppose q*u = -5*c + 2*u + 16, -3*u - 14 = -c. Solve 0 = c*j - 0 - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7436*v**4 - 5*v**3 - 104744*v wrt v?\nAnswer: -89232*v**2 - 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/33)\/((-820)\/6765)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 61130 (base 9) to base 11\nAnswer: 28229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - -32. What is the highest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527688.8 rounded to the nearest ten thousand?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (260\/6)\/(2*8\/6*194\/582). Solve -j*r + 70*r**2 + 5\/4*r**5 - 85\/2*r**3 + 25\/2 + 15\/2*r**4 = 0 for r.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*t - 177*t + 2001 - 178*t.\nAnswer: -2*t + 2001","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:41 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a hour?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 10. Solve 0 = 5*b + 2*s + 17, -3*b + 3*s + n = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/240*-3)\/(10*8\/600)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105*b + 253 - 306 + 94*b wrt b?\nAnswer: 199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/48400 and 11\/32.\nAnswer: 96800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 11*v = -10. Suppose 0 = 9*a - 14 - 4. Suppose a*h = h + 6*h. Solve 2*s = -2*s - b + 12, h = 3*s + b - v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183956729 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppaaxpxalxaaa. What is prob of picking 2 p and 2 a?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5388 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15753339 divided by 27.\nAnswer: -583457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f + 7. Let r be z(10). Suppose r = 4*v - 3*v. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1557\/4 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4248 is divided by 250.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {z: 1, p: 1, d: 2, l: 2, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 - 6*z**2 + 5*z**2 + (-3*z**2 + z + 2*z - z)*(-121 + 494 + 591 + 46).\nAnswer: -3027*z**2 + 2020*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.64 and -0.3.\nAnswer: 4.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 5*g - 55, 2*n - 1563*g + 1608*g = 495 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 5*y + 6. Let u be b(-4). Let z = u - -10. Calculate the lowest common multiple of 4*3\/(-6) + z and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)*c*c**(2\/11)*c)\/(c**2)**(-3\/14)*(c**(-3\/2)*c\/(c\/(c\/c**(3\/8))))**(-45) assuming c is positive.\nAnswer: c**(24015\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 178 and 891\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/3 - 6\/9. Suppose -x*y = -b - 2*b + 954, 314 = b - 3*y. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d + 2*d - 3*d)*(-d**2 - 4 + 3 + 3*d**2) in the form m + w*d**2 + z*d**3 + v*d and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 188 - 132*c**2 - 211*c**2 - 278*c - 10*c**3 + 124*c**2 - 257*c**2 = 0.\nAnswer: -47, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 7*a + 6. Let w be h(8). Suppose -w*y = -8*y - 18. Find the third derivative of 174*x + 10*x**2 - 174*x + 42*x**y wrt x.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-20)\/9 - 26\/117. Let n = 9 + -7. Let x(p) = n*p - p + i*p. Let q(c) = 10*c**2. Determine x(q(f)).\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/81680 and 79\/2432.\nAnswer: 12415360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 473940640 take away 0.3074661?\nAnswer: 473940639.6925339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -5 - -4)*1. Suppose 0 = -10*w + 115 + 85. Solve -2*i - 4 = -4*c - w, -v*i = c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 10 = 2*s, 0*s + 4*s - 20 = 0. What is the common denominator of -1 - 1\/(14\/(-116)) and a + (-12)\/(-9)*-14?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -413 + 426. Solve 4*c = -20, -4*l - 15 - v = 4*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 6*b - 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*f**2 + 9679998*f - 2765712.\nAnswer: -3*(f - 460952)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11 - (10 + -3))*-1. What is the least common multiple of 66 and (-120)\/(-64) + c\/(-32)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 1 - 1)*(0 + 2 - 4)*(-1377*m + 592*m + 229*m).\nAnswer: 2224*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65.2 + -74. Let b = j - -9. Which is greater: 1\/4 or b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.15 - -5. Let k = -0.03 - j. Which is the second biggest value? (a) 1 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 51, 9746\/7?\nAnswer: 9746\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/(-64) - 117\/18 - -36.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/6 (b) 0.8 (c) 0.02033\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2. Let w(r) = -3163 + 133*r + 3163. Determine w(y(s)).\nAnswer: -665*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 11*g**2 - 12*g - 16. Let m be c(-11). Suppose -5*s + m = -y + 5*y, -4*y = -s + 4. Solve 4*j + 0*j + 20 = 4*k, -3*j = 4*k - s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 4. Let t be 8\/(-6)*(-3 - -6). Let x be a(t). Let d(s) = x + 3 - 6*s + 4*s. Let y(n) = n - 2. Give -4*d(w) - 6*y(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 356304726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5613, 10687, 19143, 30981, 46201, 64803, 86787?\n\"Answer: 1691*g**2 + g + 3921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 12, 41, 100, 201, 356, 577, 876?\nAnswer: 1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 220 = -4*d, -4*m + 138 = 2*d + 28. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 7. Let u(x) = -x + 1. Let q(f) = 3*u(f) - z(f). Let t be q(4). Let d be t\/(-8)*4\/3. Solve -d*s = 2*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4291 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: Let q(l) = 49*l**2 + 5*l + 9. Suppose -20*d - 2*d = 44. Is q(d) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - -4*(sqrt(76) - (sqrt(76) - (sqrt(76) + 2*sqrt(76))))) + 3*sqrt(76)*1)\/(sqrt(400)*-2*6 - (sqrt(400) - -2*sqrt(400)*2)).\nAnswer: -8*sqrt(19)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45072 or -45161?\nAnswer: -45161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0.53, -4, 3\/4 in descending order.\nAnswer: 9, 3\/4, 0.53, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, e: 7, v: 2, h: 2, p: 5}. Give prob of picking 1 h, 1 e, and 2 o.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60791, -121578, -182353, -243110, -303843, -364546, -425213?\nAnswer: -485838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -772 - -773. Which is the second smallest value? (a) -0.07 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, 2\/31, -5, -3\/41, -0.0755, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 2*u**2 - 46*u - 172. Determine m(0).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b - b. Suppose 3*c - 4*x + 44 = 0, b = 2*c + 3*c - 2*x + 50. Let i = c + 18. What is the greatest common divisor of 40 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/3360 and -23\/96?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.273049mm?\nAnswer: 0.9273049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35632.\nAnswer: 2, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 7:57 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 23*n**3 - n**2\/2 + 15. Let i(x) = 4*x + 52. Let d(c) = 2*c + 24. Let p(b) = 13*d(b) - 6*i(b). Calculate p(a(t)).\nAnswer: 138*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 132\/60 + 2\/(-10). Solve i*x = -3*c + 5, -x + 3*x + 2*c - 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 + 690*q + 8645. Give r(-12).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284416 a multiple of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 595.4 + -68.4. Let o = 495.8 - a. What is o rounded to 0 dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - b - 12 = -i, -18 = -5*i - b. Let r(z) = 2*z - 2. Let p be r(i). Solve -4*m - l + 20 = -3*l, -24 = -4*m + p*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3331223 - 0?\nAnswer: -3331223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26755 is divided by 579.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 1. Let k(u) = 3*u**2 + u**2 + u**2 + u**2 - 7 - 3*u. Let o(v) = 4*i(v) - k(v). Differentiate o(g) wrt g.\nAnswer: -4*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/278 + -14021\/39198. What is the common denominator of n and -23*(-5 - 427\/(-84))?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -134\/5? (a) 0.32 (b) -3\/4 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 19*d. Let l(y) = 608*y. What is -95*g(a) + 3*l(a)?\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 0*p**3 + 0*p + 1\/60*p**5 - 1\/720*p**6 + 31*p**2 - 1\/12*p**4 + 0. Let y(q) be the second derivative of w(q). What is y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 19*n + 28. Let h be i(-15). Let p = h - -37. Solve 22 = p*j + x, -5*j + 3*x + 31 = x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o = -8, 0 = -2*f - 5*o + 24. Suppose 10 = 2*q + 2*g, q - 7 = -f*q - g. What are the prime factors of 0 + (11 - 10)\/(q\/105)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1369299 is divided by 456409?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -98. Let p be 8\/(-28) + 40\/(-7). Let b be ((-1)\/2)\/(p\/c). Solve 2*f + 4 + b = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyozyyxo. Give prob of picking 1 y, 1 x, and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 21194 + 18291 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173 - 323 + 172)*(1 - 1 - y**3).\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1602859944 to the nearest integer?\nAnswer: 40036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -76\/27, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -63\/4. Let n(i) = -i + 14. Let w be n(9). Which is the nearest to -4? (a) 0.2 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -k + 73130, 0 = -3*k + 5*b + 83516 + 135862. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7643?\nAnswer: 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4169 + 2)\/((-92)\/92)?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -4*q + 9*g, 1354*q - 1359*q = -3*g + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3*w + 1)*(3*w + w - 42*w + 411 + 51*w - 4*w) to the form r*w + f + i*w**2 and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 511 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3094 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1908?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(304) + (sqrt(304) + 1)*6 + sqrt(304).\nAnswer: 7 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:01 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 235977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2659 = l + 3494, 4127 = 2*z - 9*l. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -22, -30, -40, -52, -66, -82?\n\"Answer: -c**2 - 3*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2173a29 (base 12) to base 3\nAnswer: -102222202120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*l - 4*f - 7, 3*l - 3*f - 3 = 0. Find the second derivative of -10946*u**l - 1 - 16*u + 114*u**5 + 10946*u**2 wrt u.\nAnswer: 2280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(68)*2)\/sqrt(4) - (sqrt(68) + 0)**2) + (((sqrt(85)*1 - sqrt(85)) + sqrt(85) - sqrt(85))*-2)\/(sqrt(180)*-3).\nAnswer: -64 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5\/8)*y**2 assuming y is positive.\nAnswer: y**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*d + 3. Solve d*n - n = 2*q + 14, 3*q + n + 13 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/17 - 84*y**4\/17 - 326*y**3\/17 + 5808*y**2\/17 + 33768*y\/17 + 47520\/17 = 0 for y.\nAnswer: -6, -3, 10, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1542*l. Let a(f) = 14813*f**2. Determine k(a(o)).\nAnswer: 22841646*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 18*h - 1. Let g(d) = -73*d + 5. What is 2*g(j) + 9*v(j)?\nAnswer: 16*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/463*6\/8. Let t = v + -54321\/4630. Let i = -141\/20 - -25\/4. Calculate the common denominator of t and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -345181, -690344, -1035507?\n\"Answer: -345163*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*l + 46, -j - 3*l + 3 = -4. Calculate the highest common divisor of 33 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -2350, 4, 0.\nAnswer: -2350, -4, 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4, -24 = -r - 8*t + 3*t. Solve -4*s = -3*k + 10, -2*s + 4*k = -r + 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 16 = -5*j, -3804 = 3*a + j - 3820 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/6 + -2\/3. Let p(s) = -s + 5. Suppose m - 9 = 5*h + 1, -2*h = 3*m - 13. Let k be p(m). What is the closest to k in d, -2\/11, 2\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/2)*j)\/(((j*j**(6\/11))\/j*j*j)\/j))**(-23)\/(j**(-3\/4)\/(j*j**(-5))*(j\/j**(-2\/7))**(-17\/3)) assuming j is positive.\nAnswer: j**(-5519\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1309160 or -1309044?\nAnswer: -1309044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + n + 7 + 1)*(-2*n**2 + 2*n**2 + 3*n**2).\nAnswer: 3*n**3 + 21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81\/4 + -251\/12. What is the nearest to l in 1, -84, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -430762, -2\/5?\nAnswer: -430762","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11120891*r**3*u - 2*r**2*u - 120*r**2 - 18*r + 299 wrt r.\nAnswer: 66725346*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 5*g + 2*n, 2*g + 0*g - 5*n = 65. Calculate the remainder when g is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*c + 109 = 0, 37*k + 4*c = 42*k - 330. Calculate the greatest common divisor of 1178 and k.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -272, -1084, -2438, -4334, -6772, -9752, -13274?\n\"Answer: -271*g**2 + g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5 + 10 = -5*k, 0 = 5*k + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 2*t - t + t**2 - t**2 - 2*t**2 + 4*t**2 + 0*t**2 - t**2 + 3*t**2 + (-3 + 3 + 2*t**2)*(0 - 1 + 2) + t + 2*t**2 - t + t**2 - 4*t**2 + t**2.\nAnswer: 6*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-15))\/(38\/(-6))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.222 - 32.022. What is w rounded to 0 dps?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*a + 4*a - 23, 0 = -5*z + 4*a + 55. Suppose 12*r = -6*r + 108. Are r and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*j**2*p + j**2 - 2*j*p**2 + 8*j*p + 91*p**2 + 11*p with respect to j.\nAnswer: -70*j*p + 2*j - 2*p**2 + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2. Let y(a) = -911 + 906 - 10*a + 0*a - 157*a**2. Let v(k) = 20331*k**2 + 1296*k + 648. Let l(b) = -5*v(b) - 648*y(b). Calculate f(l(n)).\nAnswer: 6561*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*f + 21 = 0, t + 9 = 6*t - f. Let v be (5 + -5)*(-1)\/t. Suppose 5*o + 3250 = -i, 5*o + 2*i + 3250 = -v*i. What is o rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 + -0.02. Let h = -0.21 + 0.01. Let q = -53\/28 + 15\/7. What is the closest to h in r, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/36 and -5\/11832.\nAnswer: 35496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 72360\/132 + (1 - 13\/11). Suppose d = 225*l - 223*l. What are the prime factors of l?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 150798854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14084 is divided by 2640.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**8\/28 + 17*b**5\/20 - b**4\/12 + 5*b**3\/6 + 3*b + 6. What is the third derivative of h(z) wrt z?\nAnswer: -240*z**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-28) - 29\/(-7). Suppose 2*m + 18 = r, -r + 3*m + 55 = 4*r. Suppose r = w*b + k - 52, -12 = 3*k. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064952309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/7)\/((-72)\/(-189)) + -2. Let n = 0 - 3. Sort 2\/17, w, n in descending order.\nAnswer: w, 2\/17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125818957.61000127 + 125818956. Let g = c - -1.61. What is g rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c - 44 = 0. Solve 7 - c = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 28 = -4*m, 16*h = 10*h + 5*m - 119 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 130138652 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 23. Let a = 8 + r. What is the nearest to 0 in 2, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (1\/6)\/(630\/(-34641)). Let i = x + -157\/14. Find the common denominator of 15\/4 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -231\/38 >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -311 - -24143?\nAnswer: 23432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 - 2*h + 1. Let b be z(1). Let p(y) be the first derivative of 0*y - 1\/3*y**b - 2 - y**2. What is the second derivative of p(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36210*f = 35874*f + 31248 for f.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/11 in 4, 3\/2, 1\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/53)\/((-10)\/(-280)*28).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(17) + 0 + 0.\nAnswer: -4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2162 is divided by 65.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198.4826l to millilitres.\nAnswer: 198482.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 423 + -423.3. Which is the third biggest value? (a) z (b) -3 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30 - -a9?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (-2*sqrt(68) - sqrt(68)))*1 - -4*(sqrt(68) - (sqrt(68) - (2 + sqrt(68) + sqrt(68)))))**2 + 1*(sqrt(68) + 0)*4.\nAnswer: 392*sqrt(17) + 9856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*c = 9, -218*g + 221*g = -4*c - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**6\/24 + 3*n**5\/10 - 11*n**4\/16 + n**3\/2 + 524. Solve j(d) = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 289 = -4*z + z + 220, 0 = -3*o + 9 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*i - 271*i + 396 = -130*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16641167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1063.18 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/5670753 and 59\/162?\nAnswer: 306220662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/20, -1\/3, 4, 1\/6 in decreasing order.\nAnswer: 4, 1\/6, -1\/20, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7831321*b + 1260*b**2 + 7831321*b)*(b - 4*b + 5*b)*(2*b - 1 + 1).\nAnswer: 5040*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 437021 to the power of 1\/2, to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -2823844.\nAnswer: -847153.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*j + 19 - 149. Let g(s) = -s**3 - 12*s**2 + 3*s + 33. Let v be g(-12). Let n be (-1)\/(((-2)\/8)\/1). Sort n, v, j in ascending order.\nAnswer: j, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 6*i**2 + i + 3. Let y be m(-6). Let w be y\/(18\/(-4))*-9. Is (w\/4)\/(6\/(-88)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 3*v**2 + 5*v + 4. Let t be d(-6). Let f = t - 819\/10. Which is the smallest value? (a) -1 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1, -3475?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d + 30. Suppose -5*s + 31 + 34 = 0. Let n be p(s). Find the second derivative of 1050*o**3 - 1050*o**3 + 30*o**n - 2*o wrt o.\nAnswer: 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 16. Let z(o) = -66*o**3 - o. What are the prime factors of z(v)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3617849 to the power of 1\/2, to the nearest integer?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3241 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -47 (b) -3 (c) -4\/7 (d) -3\/11 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -56541 divided by -60?\nAnswer: 18847\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 - 263376*j + 113740116 = 0. What is j?\nAnswer: 434, 87358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 543378438585 minus -30?\nAnswer: 543378438615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*c - 47*c = 1645 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -513\/4 - -129. Let y = -1.75 - -6.75. Sort -0.1, y, -2\/7, u in increasing order.\nAnswer: -2\/7, -0.1, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 27. What is the units digit of 2*k*(-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -23*o**7\/105 - 19*o**4\/24 + 3*o**2 + 2*o. What is the second derivative of b(q) wrt q?\nAnswer: -552*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 31*r + 112. Does 9 divide l(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 8 + 23 = 0. Suppose -4*q + 10*f = l*f - 508, 5*f = -4*q + 548. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33842 + 68325. What are the prime factors of l?\nAnswer: 34483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 89947, 179922, 269899, 359878?\n\"Answer: a**2 + 89972*a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*u + 45*u + 52*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 12:37 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -18*c + 574. Calculate h(34).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/(10\/(-100)). Let n(v) = -v**2 - 1 - j*v + 2 - 3. What is n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 33, 9 in ascending order.\nAnswer: -44, 9, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-4)\/60)\/((-19)\/(-627))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*q + 19 = 0, -2*q = -y - 4*q + 9. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 909045?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 340*b - 342*b + 2 + 2 - 4. Let u(q) = 22*q. What is p(u(y))?\nAnswer: -44*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-6)\/8*(-2)\/(-3)). Suppose 0*v - 5*v + y*n + 177 = 0, 4*v - n - 146 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 75, 629, 2133, 5061, 9887, 17085?\n\"Answer: 79*u**3 + u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 7*z**2 + 7*z. Let t be s(6). Let d be (-721)\/(-1) + (-4 - (-5 + 3)). Suppose -d = -7*y - 684. Solve -2*m - y*x = 20, 3*m - x + t = -7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = -214*g + 11761211. Is g a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 6198712.\nAnswer: 6198712.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 - -146 - (4 - (-20 + 7)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -30. Let u be (-28)\/(-30) + (-6)\/f. Which is the third biggest value? (a) u (b) -2\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14908219262 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -23 + 136 + 42 + -41\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3)*3\/2. Let t = 6 - w. Let i be -16 + (-15 - (-4 - 55)). What is the greatest common factor of t and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 105, -7\/8, -0.1?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 3*q**2 - q - 1. Let b be s(-2). Suppose b*f = f + 20. Solve 4*x = -4*m, f*x = 5*m - 32 + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43437689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {g: 10, m: 1, l: 6}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*o + 2*v, -3*o + 4*v + 14 = 3*v. Suppose -o*z = -0*z - 196. Suppose 1 = -s + z. What is the greatest common divisor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64345 divided by -5.\nAnswer: -12869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 9:59 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r - 2*r**2 + r**3 + 0*r**2 - 2 + 2*r**2. Let i(w) be the first derivative of -w**2\/2 + w - 130. What is f(g) + 4*i(g)?\nAnswer: g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -66 - 2270067?\nAnswer: -2270155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 4590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = 5*v + 3984 - 4270 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.156336?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15712383 + 15712026 + 3*v - v.\nAnswer: 2*v - 357","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428175.\nAnswer: 3, 5, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10210001121 (base 3) to base 7.\nAnswer: -426625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/20 and -25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -202947, -4.\nAnswer: -202947, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/5 (b) 32.1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c0795 (base 14) to base 13.\nAnswer: 290408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - s + 6. Let f be v(-4). Which is the closest to -0.2? (a) f (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -1264*v + 1262*v - 3, -i + 2*v + 15 = -0*v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 183 = 6*x. Let i = -71 + 68. Is x at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 433426 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) - (-1 + sqrt(847))) + -1 + -4*(-1 + sqrt(847)))*4 - (sqrt(567) + sqrt(567) + -2 + sqrt(448)\/sqrt(4))*3)**2.\nAnswer: -10648*sqrt(7) + 410432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28154, 56302, 84446, 112586, 140722, 168854, 196982?\n\"Answer: -2*r**2 + 28154*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h + 67*h + 58*h - 26*h.\nAnswer: 86*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + i**2 + 2*i - 2. Let x be k(-2). Let d be ((-2)\/(-95))\/(-4*1\/x). Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3202 + 1?\nAnswer: 3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.6 + -33.74. Let j = f + 0.14. Which is the smallest value? (a) -0.3 (b) 1\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4}. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -3) + (-2)\/((-92)\/1698). Let i = n - 36. Is -1 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -101*m**2 - 26*m - 4. Let c(u) = -199*u**2 - 48*u - 7. Give -6*c(y) + 11*x(y).\nAnswer: 83*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*z - 12, 3*z - 4*z + 3*a + 14 = 0. Sort z, -5, -6 in increasing order.\nAnswer: -6, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1149 - 1150. Let q = -4 + 8. Which is the smallest value? (a) g (b) 2\/9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3951, 3279, 2159, 591, -1425?\n\"Answer: -224*l**2 + 4175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 488 divided by -4\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286252 is divided by 7736.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/(-2)*6\/9 and (-30)\/4*(-114)\/162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 7920 = 10*i. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1362, 9273, 29446, 67599, 129450, 220717, 347118, 514371?\n\"Answer: 953*y**3 + 413*y**2 + y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*z = -3*n + 45, -z - 4 = 0. Suppose 19 = 5*d - n. Solve -j = -2 + d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17341776911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2972.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11 + 36*m + 31*m + 14*m - 23*m. List the prime factors of d(9).\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r + 68. Let u be x(-9). Suppose -3*g - 2*a = -2, u*g - 34*a + 38*a = 4. Solve -2*i - 4 = -g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 7*l - 7. Let i(v) be the third derivative of v**5\/60 + 5*v**4\/12 + 5*v**3\/3 - 61*v**2 - 2*v. Calculate -5*i(q) - 7*z(q).\nAnswer: 2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3083 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1134 - -1133.996999. What is o rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 20) + -3 - (-6 - 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 45. Give g(-28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:23 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500)*-2)\/(-5*(sqrt(2) - (-2*sqrt(2) + sqrt(2)))))\/(sqrt(540)\/sqrt(6) + (3*sqrt(120) - sqrt(120))\/sqrt(12)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627.7 + 28833?\nAnswer: 29460.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 1. Let y be h(-1). Find the third derivative of -11 + 4*d**y + 11 - d**5 wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4189 - -3073. What are the prime factors of c\/6 - (-220)\/132?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (4 - 10\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 15*p - 39. Give h(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000191152 rounded to 6 dps?\nAnswer: -0.000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + (4 + -9 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223002124 (base 5) to base 4.\nAnswer: -3300121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 285*t + 4. Let n(y) = -62*y - 1. Let l(u) = d(u) + 4*n(u). Let s(a) = -16*a + 44. Let c(b) = b - 3. Let o(m) = -88*c(m) - 6*s(m). Calculate l(o(j)).\nAnswer: 296*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 greater than or equal to 321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0504 + -0.8756. Round u to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91681 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*q**3 - 250*q**3 - 241*q**3 - 4 - 234*q**3 + 965*q**3.\nAnswer: 5*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 439.05 times -1?\nAnswer: -439.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Is 8 a factor of (-10)\/(-25)*-5*f + 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79 - 4 - -8 - 93) + (1 - (51 - -1)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x - 2. Let j be d(2). Suppose -3*m - j*r = 20, -r = 3*m - 0 + 5. Suppose m*b = -3*b + 6. Solve 2*q + 1 = b*y + 5*q, -y - q = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 - 4*y + 5. Let i(r) = -r**2 - r + 1. Suppose 11*h - 5*h + 54 = -48*h. Give h*a(m) + 5*i(m).\nAnswer: -3*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2788 and 656.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26532988.\nAnswer: 2, 17, 390191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685771.\nAnswer: 571, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.272371 + -0.2801. Round u to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -2*w + 8 + 13, -5*w + 5 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 19*r + 282. Suppose 0 = -4*h + 52 + 12. Suppose -4*d = -132 + h. Calculate the remainder when d is divided by b(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (7 + -14) - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -7*o**4\/12 - o. Let s(y) = -y**2 + y**2 + 2*y**2 - y**2. What is s(m(b))?\nAnswer: 49*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511*j + 263*j + 258*j - 38*j**3.\nAnswer: -38*j**3 + 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -35622840 divided by -7124568\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/13)\/q**(-14))**(2\/21) assuming q is positive.\nAnswer: q**(368\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/4, -0.5, 4, 17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50.35 + 2.15. Let r = m - -44. What is r rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 0.2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2091*u - 45. Let o(z) = 6272*z - 126. Let h(n) = -14*j(n) + 5*o(n). Let r(w) = -w. Calculate h(r(c)).\nAnswer: -2086*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 10:32 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 5*u**4\/12 + 7*u**3\/3 - 8*u + 14. Let o(x) be the first derivative of q(x). What is the second derivative of o(y) wrt y?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -410*a + 591*a + 1991 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (62 - 18) + (-7 - -3) + 10 + 5 + -1?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 5:55 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2647, 5 in decreasing order.\nAnswer: 2647, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 36, 14 in ascending order.\nAnswer: -9, 14, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 2*a + 0*a)*(-1401 + 1401 + 11*a) + a**2 + a**2 + 0*a**2 - 2*a**2 - 3*a**2 + 2*a**2.\nAnswer: 43*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -98*d - 2. Let a(t) = 394*t + 8. Calculate -2*a(v) - 9*w(v).\nAnswer: 94*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1515*l**2 - 1 - l - 5 + 4.\nAnswer: 1515*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {q: 4, a: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 29*d**2 - 68*d - 9. Give r(26).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from cggayoocycycccgrygc.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 561 - 208. Suppose -3*v + 784 + h = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -10*o - 3. Let y be n(-1). Let l be 8\/21*(y\/4 - 1). Which is the third smallest value? (a) -0.2 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 428843, 428844, 428845, 428846, 428847?\nAnswer: 428848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*u + 135, s + 8 - 142 = 3*u. Let k = 64 - s. What is k rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**8\/20160 + v**7\/840 - v**6\/360 + 7*v**5\/60 + 7*v**2. Let j(i) be the third derivative of y(i). Calculate j(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/(270\/(-405)). What is the closest to -2\/3 in -1\/3, -0.5, -2, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4986635 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 271504 and 1349.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + l + 100, -4*l + 20 - 4 = q. Let o = -17 + q. What is the highest common factor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + p + 1. Let y(w) = -5*w**2 + 15*w. Let g(f) = -10*b(f) + y(f). Determine n so that g(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -56 + 737 + -711.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 260754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 28 + 2 + -11 + 26 + -3 + -8\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*(-44)\/(-275))\/((-10)\/25). Let s = -0.1 - -0.2. Let j be (-1)\/(-1) + (-2)\/8. What is the closest to s in 1\/2, j, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 5 - 24) + 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wk when two letters picked without replacement from wadkdkwjrjdddddjddk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 17*y**2 - 2*y - 33. Let l be s(-17). Which is the nearest to 4? (a) 2\/111 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2*j - 65 = 0, 1213 = 2*l + j + 1255 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 - 9*o - 7. Let d(k) = k**2 - k - 1. Let x(f) = c(f) - 6*d(f). Let z = 13 - 4. Let t be 12\/9*z\/(-6). Give x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 13. Let n be m(-9). Sort -1, n, 2 in increasing order.\nAnswer: -1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1 - 3 - 3 + 4*q - q**2. Let u be g(6). Let l = -30 - u. Round l to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4424 = -3*o, 4*h = 9*o - 5*o - 5920. List the prime factors of o.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**3 - 68*j - 4 + 185*j + 4 + j**2.\nAnswer: -9*j**3 + j**2 + 117*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -21) + -6 + -10\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 5*d**2 + 5*d + 8. Let p be r(6). Let s(t) = -5*t - 1. Let w be s(p). Suppose 39 = -3*o - 3*i, 5*i = -17 + 2. Is o bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6846b34 (base 12) to base 7\nAnswer: -332003254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -9*v - 4. Let f = 11 + -8. Let i(g) = 1 + 8*g**3 + 3*g**3 + g**2 + 4*g**3 - g + g**f. What is i(v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/1373691 and 9\/88.\nAnswer: 10989528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 128 (b) 0.1 (c) -2 (d) 224\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -169, -329, -489?\n\"Answer: -160*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/3, 1, 32.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2936, 3179, 3424, 3671, 3920?\nAnswer: 4171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h*h**(2\/15)))\/(h*h*h**(-1)\/h))**(23\/2))**(2\/81))**(-22) assuming h is positive.\nAnswer: h**(1012\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -16.8962561.\nAnswer: 1.68962561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2421, -4841, -7261, -9681, -12101?\n\"Answer: -2420*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/580*10*104\/(-6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*h - 22, 2*z + 5*h + 40 = 10. Let m = z + 14. Let y(p) = 2*p - 4 + 0 + m. Let k(a) = -2*a**2. Determine y(k(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 4. Let v be r(4). Suppose p - v = -3*p. Is -1*(-370 - (2 + p)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 - w**2 + 6*w**2)*(w**3 + 4 - 4) - 3*w**5 + 5*w**5 + 5*w**5 + 3*w**3 - 3*w**3 + 2*w**5 + (-3*w + 3*w + w)*(-w**4 + 2*w**4 - 2*w**4).\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u**5 + 0*u)*(-2 + 5 - 5 + 3 - 4 + 3 + (3 + 0 - 1)*(0 + 0 - 1) - 2 + 3 + 7).\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 160437748 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 304 (b) 224\/23 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3558 (base 12) in base 11?\nAnswer: 453a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**7\/840 - m**6\/72 - 11*m**4\/6 - 49*m**3\/6 - 100*m. Let s(b) be the second derivative of w(b). Differentiate s(h) wrt h.\nAnswer: -3*h**2 - 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 2.4. Suppose -26*m - 3*o = -29*m - 51, 85 = -5*m - 2*o. Which is the fourth smallest value? (a) m (b) 5 (c) h (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 33.465\nAnswer: -34.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17781 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30167 + -17694. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 83.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-2 - -5)\/(-3). Let z(q) = 1 - r*q + q + 3*q. Let x(m) = -6*m - 8. Suppose 0 = -3*g - 4*a - a - 50, 0 = g - 6*a - 37. Determine g*z(f) - x(f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -106, -249, -450?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5966\/11 - -544. Which is smaller: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 255.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1987*s - 2398*s + 22194 = 0 for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 22 + 43)*(2 + a**2 - 2 + (-a + 0*a - a)*(4*a + 0*a - 3*a)).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315 - -295 - (-26 + 1)) + (-2 + -2 - -75).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + 1?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 524*j**2 + 72 + 508*j**2 - 2058*j**2 + 524*j**2 + 520*j**2.\nAnswer: 18*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-90)\/5)\/6)\/(6\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 348874 + -0.026?\nAnswer: 348873.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22923 times -44?\nAnswer: 1008612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3033 = -3*l, -2*l = -4*l - 4. Suppose -3*w = -p - 146. Suppose 5*t + 4*s - 186 = 3*t, -4*t + w = -5*s. What are the prime factors of t?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35640053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2812*b**5 + 29*b**4 - 244*b**3 + 230773470*b**2 wrt b?\nAnswer: 168720*b**2 + 696*b - 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 163531?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -755 (b) -153\/2 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 + 4*b**3 - 11*b**3 + 2*b**3 wrt b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.55 + -2.75. Sort 9\/4, g, -0.4 in increasing order.\nAnswer: -0.4, g, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 17 - 19 + p + 2*p - 22. Let s be c(8). Suppose s = -45*g + 46*g - 2. Calculate the greatest common factor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, n: 2, e: 6, k: 1, o: 4, g: 4}. Give prob of sequence onge.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-117)\/(-312) - 4428894\/(-48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**2. Let t(a) = -98389*a. Calculate k(t(w)).\nAnswer: 58082371926*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 1039 (b) -5 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -19*z**8\/112 + 5*z**4\/8 + 11*z**3\/6 + 453*z**2. Find the second derivative of v(j) wrt j.\nAnswer: -1140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11743 + -122?\nAnswer: 11621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22108, 24723, 27336, 29947, 32556, 35163, 37768?\nAnswer: 40371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 1. Let o = -99 + y. Suppose -5*k = -0*h - 2*h + 26, -5*h - 1 = 4*k. What is the biggest value in 2, k, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54432*c**2 + 38689 wrt c.\nAnswer: -108864*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 9*o - 10. Let p be q(-7). Suppose 0 = -j - 2*f - 8, 4*j - 28 = p*f - 0. Let z(m) = 3 - 2 - 2 - 5*m**j + 3*m + m**3. Determine z(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 18. Let h be o - (3 + -4) - 3. Suppose 0 = -2*x + x + q + 1, -2*q = -x + 2. Solve -2 + x = -h*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2 - 1440622*w - 1440621 = 0.\nAnswer: -1440621, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 15*m**2. Let l(j) = -1. Let g(p) = p + 1. Let s(r) = 2*g(r) + 2*l(r). Determine x(s(w)).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**2 - 11*g - 5*g + 31*g + g**3 - 9*g - 2*g + 2. Calculate s(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65609400 and 645.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/6 - -43\/30. What is the nearest to 0 in 0.4, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49664089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjbb. What is prob of sequence jbjb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 226, 197, 162, 121?\n\"Answer: -3*f**2 - 20*f + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14562 - 11889. What is the highest common factor of o and 1089?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**4\/6 - 37*k**2\/2 + 3. Let g(d) be the second derivative of y(d). Let z(l) = -10*l**2. What is g(z(x))?\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/3)\/(-1) - -3. Suppose -62 = -4*k - 5*b, b + 13 + 61 = m*k. Let c = k + -1. Solve -20 = 4*y, 3*d + y + 3*y = -c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 5*y - 4. Let t = -6 + 9. Let s be h(t). What is the derivative of 5*n**4 + 10*n**4 - 18 - s*n**4 wrt n?\nAnswer: 52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -20*t + 2. Let q(k) = 2*k. Let m(j) = -45*j + 5. Let h(y) = m(y) + 4*q(y). Let o(u) = -5*c(u) + 3*h(u). Let s(r) = -5*r + 2. Give -2*o(l) + 5*s(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -1 - (2 + 2). What is the units digit of 12 + -4*u\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 45. Suppose -q + g*w + 3 = 0, 5*q - w - 15 = -6*w. Let y be (-298)\/228 + ((-2)\/q - -2). Which is bigger: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*u = -92*u - 6. Suppose 2*o + 18 = 2*i - 0*o, 3*i - u = -2*o. Solve i*l + 3*h - 12 = 14, 0 = l + 3*h - 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2176 + 210*x - 102*x - 92*x + 984.\nAnswer: 16*x + 3160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 26*k**3 - 4154*k**2 - 967*k + 1120. What is n(160)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30122 - -21?\nAnswer: -30101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + ((27 - 55) + 40 - 51)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/5 (b) 23 (c) -4\/7 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a factor of 58590892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*c**3 - 67*c**2 + 60*c - 9 = 0. What is c?\nAnswer: 3\/16, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqt when three letters picked without replacement from {q: 6, t: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -358038 < -358038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o**4 + 2*o**3 + o**2 + 6*o**2 + 1 + o - 3*o**2 - 2*o**2 to s*o + j*o**2 + z*o**3 + k + t*o**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-20)*(-245)\/(-49).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 343165469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -470856*n**5 + 2*n**3 - 666896818*n wrt n?\nAnswer: -9417120*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6*(-291 + 153)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 496*m.\nAnswer: -4*m*(m + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20202230201 (base 4) to base 15.\nAnswer: 2e3745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 2 - 19) + 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1 - 6 - (-6 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 + 40\/(-4))\/((-1)\/(-4)). Which is the smallest value? (a) -2 (b) i (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3691?\nAnswer: 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -g + 1625. Suppose -3*r + g = 247. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 0*y + 3*y + 0*y + 0*y + y + (-1 + 1 + 2)*(6*y + y - 5*y) + y - 4*y + 0*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*c + 33 - 142, 0 = 2*s + 2. What is the remainder when 64 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -83. Suppose -2*o + 37 = b. Let p(k) be the second derivative of -k**5\/10 - k**4\/12 + k. Calculate p(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -95644231*j*v + 3*j*y**2 - 6*v*y**2 + 2*v*y - v - 15385*y + 22 wrt j?\nAnswer: -95644231*v + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 5*c - c)*(13 - 4*c - 13) + 0*c - c**2 + 0*c - 3*c**2 + 3*c**2 - c**2 + 0*c + c**2 + 0*c.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(35\/2) - (-4)\/(-7). What is the nearest to 1 in -3, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29155 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 18. Let v(l) = -l - 27. Let m(c) = 3*n(c) + 2*v(c). Let u(z) = -2*z**2 - 84. Calculate m(u(g)).\nAnswer: -8*g**2 - 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2279488*y - 4558978*y + 2279483*y - 1.\nAnswer: -7*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 43965, 43963, 43965, 43977, 44005, 44055, 44133?\n\"Answer: v**3 - 4*v**2 + 3*v + 43965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 99*r**2 - 42885*r - 4245625. Give m(-99).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5715 = 168*q + 8235 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/(-68) + 11\/4. Suppose 4*d + 14 - 146 = 0. Calculate the highest common divisor of t and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**3 - 22*d**2 + 3*d - 195. Let h(y) = -y**2 + y - 1. Let s(g) = -3*h(g) + t(g). Differentiate s(n) with respect to n.\nAnswer: -12*n**2 - 38*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15977386 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/12, 0.4, -17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -177316 + 8511245\/48. Find the common denominator of 0 + (-1)\/6 + -1 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*((sqrt(3) + 2 + sqrt(3))*6 - (-3 + 1*sqrt(3) - sqrt(3))) - (sqrt(3)*1 + 5 + 1 + sqrt(3) + 3)*6))**2.\nAnswer: 152064*sqrt(3) + 267408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/59119890 and -67\/86480.\nAnswer: 472959120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/6)\/z)\/z*z\/(z\/((z\/(z*z*z**(3\/19)))\/z*z*z)))**(2\/47) assuming z is positive.\nAnswer: z**(-227\/2679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.6 - -1.4. Are 0.08 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -685, -686, -687, -688, -689, -690?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (0 + -36 - -4). Suppose m*z = 33*z - 10. Let a be (3\/7)\/(44\/308). Solve 0 = -z*u - 2 - a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355083 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*c**4*i**2 - 209*c**2*i**3 + 2*c*i**3 + 33*c + 79*i**2 wrt c?\nAnswer: -468*c**2*i**2 - 418*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6 - l + 14 + 4. Let z be r(10). Solve z*n = 3*x - 15, 4*n - 5*x + 3*x = -10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1037*d*w**2*z + 7*d*w*z**2 + 6651*w**2*z**2 - w**2*z - 2*w*z**2 wrt d?\nAnswer: 1037*w**2*z + 7*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 561, 560, 559, 558, 557?\n\"Answer: -o + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133280 divided by 7840.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -333 + 311. What is the nearest to -1 in 2\/7, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 6*k + k + 4*k + k + 3 - 3 + (-2 + 0 + 1)*(0*k + 0*k - k) + 2*k - 4 + 4 + k + 2*k + k.\nAnswer: 7*k - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112302 + -11011031?\nAnswer: -10232123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**4 + 5*v**3 + 131*v**2 + 6219.\nAnswer: -8*v**3 + 15*v**2 + 262*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2023116 and 322.\nAnswer: 321.7976884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 20. Let k be r(20). Suppose k = -2*n + 2*u - 6, -2*u = -5*n - u - 3. Solve o + n*o - 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3310 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(220\/16)\/11 - 10\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 - 11*g**3 + g**3 + 2*g**3 - 4*g**3 + 0*g**3 + (-11 + 2 - 1)*(-2*g**2 - 2*g**3 + g**3 + 0*g**3).\nAnswer: -3*g**3 + 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1815 - 1815.743. Let u = 1.143 + g. Which is the nearest to -13? (a) -2 (b) -8 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 189.63 - 4.63. Let j = -185.058 + y. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 175\/(-30) - 2\/12. Let i = -3 - f. Suppose 2*q + i*q - 1015 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(47\/(-15) - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 14. Let o = -2 - f. Suppose 2*x + 1 - 5 = o. Solve -3*c = -4*j - 19, 0*j - 7 = -x*c - 3*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1082185793 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/(w*w**(-2\/11)))\/w)**(-43))**(9\/2))**(23\/3) assuming w is positive.\nAnswer: w**(-2967\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -48a4722?\nAnswer: 48a4724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24b (base 13) to base 15\nAnswer: 1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.7 + -11. Let i = 1.7 + w. Put i, -0.1, 4 in decreasing order.\nAnswer: 4, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/(6\/99). Let m = 268 + -259. Suppose 18 - 9 = m*z. Calculate the highest common divisor of o and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -188, -255, -338, -443, -576, -743, -950, -1203?\n\"Answer: -c**3 - 2*c**2 - 54*c - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.947 + -40. Let x = 270 + -265.747. Let f = x + z. What is f rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 62107, 62094, 62073, 62044?\n\"Answer: -4*b**2 - b + 62112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 895609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 1260?\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106462213 (base 7) to base 16.\nAnswer: -63fe23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10987?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 16310 = -i - 16210, 2*i + z = 195. Suppose -32 + 168 = 4*h. What is the remainder when i is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -439*m - 7291 - 38804 for m.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 4*p**5\/15 - 4*p**3\/9 - 2. Factor o(g).\nAnswer: 4*g**2*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305 and 206485?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9854, 78798, 265932, 630350, 1231146, 2127414?\nAnswer: 3378248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11988 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfaaaafassfsfff. What is prob of picking 1 f, 2 s, and 1 a?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**3\/3 + c**2 + 3*c - 1. Let x be d(3). Differentiate -1 + 3*n + x + 0 + 0 with respect to n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 12. Let s = 0.99 + 0.01. What is the third smallest value in s, n, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 15 = 0, -5*r - 2*b + 36758 = -r. Let z = -3111 + r. Is (2\/(-6))\/(z\/(-3036) + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 3*x + 0*x + 7*x. Let w(i) = -30*i + 864. Let m(f) = -f + 36. Let d(h) = -24*m(h) + w(h). Calculate d(z(b)).\nAnswer: -66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3456, 7151, 10826, 14469, 18068, 21611?\nAnswer: 25086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10801678?\nAnswer: 2, 5400839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*v + 167, 3*v + 5*c - 149 = 6*c. Let o = -5 + 7. Suppose 72 = -3*i - 2*l, -o*i + 0*l - v = l. Is i at least as big as -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3609936 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i**2 + 113*i - 113*i)*(3*i**2 + 2*i - 2*i).\nAnswer: 48*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 233414404 (base 5) in base 2?\nAnswer: 100000110110000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in -31\/52, -1.8, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {t: 3, r: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9943923 meters?\nAnswer: 994.3923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-1\/2))**(-41)*(l\/((l**(-1)*l)\/l))**(-40))**(1\/6))**(-31) assuming l is positive.\nAnswer: l**(8773\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*p + p**3 - 56*p + 2 + 17*p**3 + 116*p.\nAnswer: 18*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(300) - (sqrt(300) + (sqrt(300) + 0 + 5)**2)) + -2*(3*2*sqrt(300) + sqrt(300)) + -5.\nAnswer: -240*sqrt(3) - 335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -6, -4822, 0.16?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 + 125?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r - 62. Let i be l(-18). What is the greatest common divisor of 50 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**3 - s**2 - 8*s - 8. Let v be l(-1). Let j be v*(34\/8 + -5) + 1. Solve -j*u = -2*u + 2, 7 = -o - 2*u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + -138 + 112 + 93?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*-3916828\nAnswer: 313346.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -454 and 2.\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31752 and 6360?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + (sqrt(539) - (sqrt(539) + 0)) + sqrt(539) - sqrt(11) - sqrt(11)) + 2.\nAnswer: 2 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 5*w - 2. Let z be y(-5). Is z + -4*1\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 893 + -910 - (34 + 2).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**3 - 49*q**2 + 31*q + 19. Is s(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1 - 28\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5\/2)*t*t*t\/t**9*t*t**(-14)*(t*t*t**(-1\/2))\/t assuming t is positive.\nAnswer: t**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3, 0.3, -0.07, 1\/11?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 3*x. Let i be (-120)\/(6\/2) + 2. Let v = -43 - i. Determine k(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(8\/3)\/(b**(1\/4)\/b))\/(b\/(b\/(b*b*b*(((b\/(b\/b**(-2)))\/b)\/b*b)\/b)*b))**(-24) assuming b is positive.\nAnswer: b**(-535\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*i + 2*z - z, -4*z + 10 = -2*i. Let a(k) = k. Let c(l) = -2*l. Let d(f) = -3*a(f) - 2*c(f). What is d(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/(-28) - 14\/49. Is j != -9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Let w(y) = 22*y. Let b(p) = 3*p + 1. Let g(f) = 7*b(f) - w(f). What is the remainder when 6 is divided by g(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**3 + 2*c**2 - 2*c + 1. Is j(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 7*k**5\/120 + k**4\/6 + k**3\/3 - 7*k**2. Let w(n) be the first derivative of g(n). Determine w(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101\/124 + (10\/(-16))\/((-5590)\/(-6708))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(-46) assuming l is positive.\nAnswer: l**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - -44. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 + 34*r**2\/3 + 88*r\/3 + 56\/3.\nAnswer: 2*(r + 1)*(r + 2)*(r + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195713631.\nAnswer: 3, 7248653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 0 = -i - 8, 0 = -3*j - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442 + 466 = -24*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**2 + 78*c - 2. Let h be m(-17). Calculate the highest common factor of h and 2223.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - 448 + 215 + 224. What is p(4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-20 - -3)*-19. Let l = q + -165. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41366 + -41359. Which is the fifth biggest value? (a) -3\/7 (b) -0.1 (c) -1\/3 (d) y (e) 411\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 1\/8 (c) -1375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*h - 458*h = 185*h - 35916 for h.\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717137.\nAnswer: 149, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + p - 2*p)*(31*p - 43 + 43 - 3*p + 3*p - p + (0 + 0 - 1)*(-p + 0*p + 2*p)) as c*p + h*p**2 + f and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3357, -6715, -10073, -13431?\nAnswer: -16789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*x - 16*x - 18. Let s be (-1*(-62)\/(-4))\/(x\/(-36)). Let t = 71 + s. Calculate the smallest common multiple of t and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19668 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21989 is divided by 7189?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + t**2 - 6*t**2)*(25 - 1829*t**2 + 530*t**2 - 2 + 454*t**2 + 642*t**2).\nAnswer: 406*t**4 - 46*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*p - 22*p + 195 - 195.\nAnswer: -137*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272182537.\nAnswer: 11, 907, 27281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42027*w**4 + 2*w**2 + 13*w + 3999?\nAnswer: -504324*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose f*t + 16 = 4*t. Calculate the smallest common multiple of t and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 - -2310?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -145.1\nAnswer: -435.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, n: 3}. What is prob of picking 1 n and 3 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 190702 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 22. Let j be a(7). Suppose -j*s = -556 - 436. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-1)\/1 + 0. Let d be (-34)\/(-8) - (-4 - (-68)\/16). What is the second derivative of -j**d + 16*j**n - 5*j - 16*j**3 wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z - 13. Let p(x) = 1. Let v(k) = -i(k) - 6*p(k). Let b(g) = 7*g - 8. Determine 5*b(h) + 6*v(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/21 + 4\/2. Let q = -56.9 - -56.5. Put q, z, -3 in descending order.\nAnswer: z, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 3*r - m + 1712, 5*m + 2880 = 5*r. Is 28 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -6. Suppose 5*k - a = k. Suppose 0 = 2*o + 3*w - 46, -2*o + k*w - 2 + 34 = 0. Solve 0 = -7*g + 2*g + o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 55*l - 115. Determine n(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:43 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*c + 93*c - 47*c + 15 + (49*c + 1457 - 1457)*(0 + 2 - 3) as j*c + q and give j.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1493332 and 248?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 456057346 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/4527056 and 25\/3296.\nAnswer: 9054112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 = -3*h, 5*l - 2*h = -3*h + 24. Solve 6 - l = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*z + 12 = -58*z. Let m be 3\/z + (-316)\/(-16). Let d(u) = m*u**2 - 23*u**2 - 20*u**2. Let o(k) = k**2. What is o(d(p))?\nAnswer: 529*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26.49072 * -0.4\nAnswer: -10.596288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-56)*(-28)\/(-18)*-6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 less than or equal to 61\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 76. Let s = -134 - -147. Calculate the remainder when o is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*(2 + sqrt(13)).\nAnswer: 20 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68750 at least as big as 68750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-25) - -9*(-2)\/(-5). Suppose 0 = -n*o - 3*o - 35. Is -4 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20522270 and 129290301.\nAnswer: 1292903010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-18)\/15 - -1). Suppose -h*u + 42 = 3*o, 0 = -5*o + 11 + 9. What is the highest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*k**3 + 189*k**3 - 28*k**3)*(-1 - 2 - 3)*(1 - 1 + 4*k) in the form d*k**3 + i*k + j*k**2 + n + b*k**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(12\/5)\/r*r**(-10))**6 assuming r is positive.\nAnswer: r**(-258\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1872 - 738*c - 631 - 623 - 618.\nAnswer: -738*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 m when three letters picked without replacement from {o: 1, s: 2, n: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**4\/18 - 14*b**3\/3 - 147*b**2 + 52*b. Solve f(c) = 0 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 1558 + 0*t + 1557 + 2*t + 3469*t**2.\nAnswer: 3469*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 - g - 2. Let n be r(-2). Suppose 0*i + 3*i = n. Suppose 4*y + i*d - 20 = 0, -y + 2*d + 0*d + 2 = 0. Solve -y*f + 9 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/10523948 and 37\/445930.\nAnswer: 52619740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 - -108.8. Let b = 0.0728 + -3.2628. Let m = w - b. Round m to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 246 = 3*m + 235, m + 3*u = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**8\/h)\/(h*h**(-8\/11)*h))**(-3\/2))**(-38) assuming h is positive.\nAnswer: h**(3591\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 = -2*a, 0 = 6*c - c - 20. List the prime factors of (4 - a)*(-154)\/(-1).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000)*-1*3*-2)\/(sqrt(40) - (sqrt(40) + sqrt(80)\/sqrt(2) + sqrt(40)) - (sqrt(1000) + sqrt(1000)*2 - sqrt(1000))).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 9569*d + 6 - 14.\nAnswer: -9569*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 18 + 7. Suppose -3 = 3*y - 4*a, 4*y - 10 = -a + u. What is the least common multiple of y and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*d + 21*d**2 + 62*d - 253*d.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 0*i**4 - 23 + 0*i + 0*i**2 + 16\/3*i**3 + 19\/5*i**5. Find the third derivative of p(t) wrt t.\nAnswer: 456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0708 + -0.0292. What is the closest to f in 1, -1\/2, -4, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -9*a - 144. Let h be (-3)\/(a\/(-26)) + 3. Are h and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -949, -1706, -2455, -3190, -3905?\nAnswer: -4594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7b + -1682?\nAnswer: -171d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, h: 5, v: 1, u: 1, c: 1}. What is prob of picking 1 h and 1 v?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + (-6 - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -1\/4*s**2 + 369\/4 - 30*s = 0.\nAnswer: -123, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -24. Let o(b) be the second derivative of v*b**2 - 1\/3*b**4 + 3*b + 0*b**3 + 0. Let x(c) = -2*c**2. What is x(o(y))?\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*z - 4*z - 27, -3*z - 128 = -4*v. Let l be (-150)\/v - (-2)\/7. Which is the closest to 0.1? (a) -7 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1303 + 144?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30\/(-27)*3)\/((-8)\/12). Solve 3*p + 2*u + 3 = 4*p, 25 = 4*p + t*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7230 and 6194415?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 151, 291, 431, 571?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 1\/5, -1.01?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*i + 9*i - 36*i + 1018584. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115721401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20998374.\nAnswer: 2, 3, 541, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*((-18)\/13 - (-59946)\/(-32136)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 12 = d, 4*d - 2 = 871*m - 866*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o + 3. Suppose 77 = -3*z - 5*q + 15, 3*z - 4*q + 26 = 0. Let y(b) = b - 1. What is z*y(v) - 4*h(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -344\/136787?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4608*j**3 - 3849 + 72*j**4 - 15*j**2 + 15*j**2 - 4600*j**3 wrt j?\nAnswer: 288*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.674126l to millilitres.\nAnswer: 3674.126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {z: 1, m: 2, e: 3, l: 3, r: 7, a: 3}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z**4 - 87*z**3 + 284*z**2 - 60*z - 144.\nAnswer: (z - 6)**2*(z - 1)*(7*z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 975605077 to the power of 1\/3, to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 z when four letters picked without replacement from {r: 3, i: 12, z: 3}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-84) - (-1)\/(84\/1956).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 2)\/(1\/6). Let r be (3 + -2)*h\/(-3). Let v be ((-9)\/24)\/(3\/r). Is v bigger than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 413 + -400. Calculate the remainder when 173 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.84841 - -0.02.\nAnswer: 2.86841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 10:13 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7775 and 70305.\nAnswer: 109324275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 19 - 3. Suppose r*c = 3*d + 7439, -d - 2084 = 2*c + 385. Round d to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 52, 206, 454, 790, 1208, 1702, 2266, 2894?\n\"Answer: -d**3 + 53*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r = -4*y + 2, 0 = 5*y. Let c be (-1 + 49 + r)*(-15 + 16). What is the units digit of 7\/((-147)\/(-612)) - 7\/c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38451*f**2 - 15775*f**2 - 19543*f**2 in the form u*f**2 + v*f + m and give u.\nAnswer: 3133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n, -3*l + 10*n - 5*n = -1053. What is the greatest common factor of 143 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 15) to base 2\nAnswer: 1100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x - 24. Let c be u(6). Suppose -45 = -c*y - 225. Calculate the remainder when 39 is divided by y*(-1*(-4 + 6))\/3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 - 142. Suppose 0 = 5*b - 2*w - 19, b - m*w - 17 = -8*w. Solve 23 = -b*z - a, 8 + 2 = -4*z + 2*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -44. Suppose m*i - 166 - 50 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638*z**2 + 614*z**2 + 653*z**2 - 1921*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**2\/7 + 188*k - 1317\/7 = 0.\nAnswer: -1317, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*9\/3)\/((-21)\/2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -706 = -15*g + 1514. Let d(t) = 153*t - 307*t + g*t + 1 + t**2. Give d(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(7) + -1)**2*-6 - sqrt(56)\/sqrt(8)*-4*1.\nAnswer: -44 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4 - 8 + 4 + 15*a**2. Let f(n) = -n**2 + 11*n - 28. Let j be f(6). Let t(h) = 18*h**j + 39*h**2 - 55*h**2. What is i(t(x))?\nAnswer: 60*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2\/7 + 57432*t\/7 - 57453 = 0. What is t?\nAnswer: -19151, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1798 - 1808 - (1 + 10 + -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8000 + 8075. Solve -t*i + 66*i = 54 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 12:03 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*l + 1)*(0 - 1 + 15)*(4499 - 4499 + 269*l).\nAnswer: 7532*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1010 + -2?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 624*u + 642*u - 1265*u. Suppose 4*c = -3*k - 0*k - 2, -3 = 5*c + 4*k. Let r(m) = -m**2 + 4*m - 1. What is c*r(h) - 5*l(h)?\nAnswer: -h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwrr. What is prob of picking 3 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1768*p**4*t - 2*p - 8*t - 76 wrt p.\nAnswer: 21216*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 2*n**3\/3 - 5*n**2\/2 + 5*n + 695. What is v(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*g - 7 = 0, -15 + 23 = 2*o + g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168 - 319. Let z = j + 144. What is the third smallest value in 0.1, -0.4, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25085262 to the nearest 10000.\nAnswer: 25090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*q + 326*q - 14136 = 62*q + 647*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13217\/2 - -6856. Let n = -1247\/5 + o. What is the common denominator of -67\/458 and n?\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*m + s - 1 = 0, -3*m - 1 = 5*s. Let b = m - -2. Find the first derivative of -2*o - b*o - 1 + 5*o wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 115*c + 164. Let j be y(56). Let w(p) = 2*p**2 + 3*p + 5. Calculate w(j).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 229, 233, 237, 241, 245?\n\"Answer: 4*g + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2 - 38*d + 22. Let k be t(-13). Solve -2*i - k = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 380 + -368. Calculate the least common multiple of 8 and 4*(-2)\/o - (-312)\/9.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -34. Let u = d + -160\/7. Are 1 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -42. Let r = -250 + 1009\/4. Find the common denominator of r and (-111)\/(-6)*6\/s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -386 divided by 1819063\nAnswer: -386\/1819063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 19.4. Let k(m) = 2*m**2 - 1. Let d be k(-1). What is the nearest to d in a, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*27\/(-30) + -3. Let r = 678\/7 + -97. Sort -2\/7, h, r.\nAnswer: -2\/7, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62 - -31) + (-11 - (18 - 10))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 16*q + 7. Let t be m(15). Let d = 0 + t. Is 12 a factor of 37 + 0 + d + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 327624 divided by -2.\nAnswer: -163812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20820.67957 - -21063.67956982. Let g = -243 + k. What is g rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -192*o**3 - 3*o**2 - o + 1. Is g(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 158*a**2 + 158*a + 73308. Give i(-156).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/7, 1\/5, -5, 0, -1549 in ascending order.\nAnswer: -1549, -5, -2\/7, 0, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -19096.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29, 0.8, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 290 - 288. What is h in 2 + h - 2 + 344*h**n - 343*h**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44164 is divided by 3396.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*v + 36, 0*l + 56 = 5*l + 3*v. Solve -3*y - 5 = -4*j, -4*j + y = -y - l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/31072 and -77\/24?\nAnswer: 93216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (-11 + 31 - -18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 66, -2 in increasing order.\nAnswer: -4, -2, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32225785*a**3 + 27062661 wrt a.\nAnswer: 96677355*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-6))\/((-6)\/(-9)). Let g = -57\/14 + 9\/2. Which is the nearest to w? (a) 5 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1\/6*n**3 - 1\/6*n**4 - n + 2 + 0*n**2. Let o(b) be the first derivative of f(b). Find the second derivative of o(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 36*f = 38*f - 50, 4*l - 60 = -4*f. Solve 0 = -10*i + l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*b = 55*b + 306. What is the greatest common divisor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17104998943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/924 and -45\/28?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -25, -4, 6, -2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 135.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-870)\/75)\/((28\/(-98))\/((-20)\/(-84))).\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -5\/4*h**4 + 32 - 20*h**2 + 0*h - h**5 + 50\/3*h**3. Find q such that k(q) = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 3, -19, 1 in descending order.\nAnswer: 3, 1, 0.04, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29353 + -16310. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.1 + 36. Let c = -2.3 - 0.7. Let s = r + c. Is s not equal to 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 2 = 15*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 17*z**2 + 5*z + 2. Let o(q) = 87*q**2 + 27*q + 11. Calculate -33*i(f) + 6*o(f).\nAnswer: -39*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -8019 >= -8019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u**3 - 103*u**2 + 76*u + 1041. Determine n(-17).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 14*n - 6. Let d be q(6). Solve d*u - 3 = 3*u - 4*i, 0 = -3*u - 5*i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301215 + 16869*j**2 + 301215.\nAnswer: 16869*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 526\/45 + -59\/5. Let d = -31 + 32. What is the biggest value in -1\/3, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 + -11.93. Let y = i + 5. Let p = -5 - y. Which is the nearest to p? (a) 1\/6 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -7*j**4\/12 - j**3\/3 + j**2\/2 - 86*j + 55. Let w(k) be the first derivative of o(k). Give w(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 8*h**2 + 15*h - 79. Calculate m(9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3, -7*t + 5*t = 4*d - 582. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 29*l + 27. What is the units digit of p(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 73*d + 131 = -146*d + 81*d, -13*d = 2*b - 0*b - 206 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4\/5 - 212*o**3\/5.\nAnswer: 4*o**3*(o - 53)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*p - 56*p = 20. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 12*g. Let q be f(-12). Is 0 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 14a6?\nAnswer: -14a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0693 - 0.2693. Which is the closest to k? (a) 0.03 (b) -20 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*l = -8 - 66, -p + 18 = -l. Suppose 0 = -p*y + 23*y - 262. Suppose 15*n - y = 1583. 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 value of 3 - (6 + 1 + (-168)\/35)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 1:09 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f + 118 - 8*f - 118 - 239*f**2.\nAnswer: -239*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 16.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -8222ab?\nAnswer: -8222b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 317 + -5706?\nAnswer: -5367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h - 13. Let p be u(-4). Let t = -45 - p. Suppose t = -2*y + 87 + 41. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 3*v = 152. Is v smaller than 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/((y\/y**(1\/5))\/y*y)*y)\/y*y)**(10\/9)\/(((y\/y**(2\/15)*y)\/y)\/(y\/(y**(-3)*y))))**(-4\/13) assuming y is positive.\nAnswer: y**(-824\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16306.13*4.\nAnswer: 65224.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + n**4 - n**4 + (4*n - 6*n - 5*n)*(3*n**4 - 3*n**4 + n**4) - 3*n + 2*n**5 + 3*n + (-2*n - 2*n + 2*n)*(4*n**4 - 5*n**4 - n**4).\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10677937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*z + 166 - z - 52*z wrt z.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p - 4*m + 12701120 - 12701033, -2*m - 15 = -p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -35\/3, -0.5, -2\/5 in increasing order.\nAnswer: -35\/3, -0.5, -2\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -121.19?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*n + 62*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 2, -9, 9, 816 in decreasing order.\nAnswer: 816, 9, 3, 2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 = 50. Let x = 16 + n. Solve 0 = x*m + y - 5*y - 23, 4*y = -8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/4 - 79*t**4 - 8805*t**3\/2 - 96976*t**2 - 3686893*t\/4 - 3024819 = 0. Calculate t.\nAnswer: -252, -19, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6909888?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11768 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -75 - (-3 - (10 + -12))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 157 in 2, -4\/9, 2.3, -1\/2, -2?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 12:12 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -650 + 655. Find n such that 4*n**2 - 3\/4*n**3 + 0 - n - 4*n**4 + 7\/4*n**k = 0.\nAnswer: -1, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s - 25. Let w be m(-4). Let h = w + 29. What is the remainder when h is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-2) - (-18)\/2. What is the third derivative of -2*c**2 - c**5 - 2*c**2 - 3*c**5 + o*c**5 wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(684))**2*6.\nAnswer: 16416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 9. Let w(f) = -f. Let m(b) = v(b) + 6*w(b). Let i be m(-4). Calculate the greatest common factor of i and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -13*b - 4116. Let d(i) = 7*i + 2057. Determine 5*d(g) + 3*f(g).\nAnswer: -4*g - 2063","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920431513?\nAnswer: 920431513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 (base 13) in base 3?\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 6:47 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j. Let r(p) be the third derivative of p**2 + 0 - 2\/3*p**4 - 1\/6*p**3 + 0*p. Suppose 13 = o - 2*z, 2*o - 4 - 13 = -5*z. Calculate o*t(n) - 2*r(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4003 - -40?\nAnswer: -3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/6)\/((-2)\/354). Suppose -q = -4 - f. What is q rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 + (-43)\/(-5). Suppose 1 - a = -4*s. Let c(d) = -8*d - 7. Calculate the least common multiple of s and c(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1681\/(-684) + 6880\/1548 + -2.\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.33529um in millimeters?\nAnswer: 0.04233529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1595*z**3 + z**2 + z**2 + 414 + 23*z**2 - 25*z**2 + 2*z**4 wrt z?\nAnswer: 8*z**3 + 4785*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 5*a - 12. What is the tens digit of q(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/7)\/i)*i)**50)**27*(i**(4\/7)\/(i**3\/i))**(-10) assuming i is positive.\nAnswer: i**4450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g + 8. Let p be n(-4). Let t = 287 + -287. Which is the nearest to p? (a) 0.1 (b) -1 (c) 48 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yccecceceyceceyyccec. Give prob of picking 3 c and 1 y.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -29. Suppose 7*u = d*u + 4. Let h be 1 + (5 - 2) + u. Solve -4*r = -h*n + 30, 3*n + 2*n + r - 5 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Let x = -3.027 + 0.027. What is the third biggest value in 4, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9*o - 6. Let q be v(-4). Suppose -3*t - q = -5*i - 8*t, 2*i - t = 3. Let n(a) = -a**2 + 712*a + 19957. Let u be n(-27). Sort -4, i, 2, u.\nAnswer: -4, 2, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {f: 1, a: 2, e: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 109*y + 328. Let d be z(-2). What is the highest common divisor of d and 935?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtvttvvvvttvv. Give prob of picking 1 v and 2 t.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/22407301 or 0?\nAnswer: -5\/22407301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (113 + -189 + 129)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125 + 213 - 162 - 4*n)*(3 - 1 - 4).\nAnswer: 8*n + 148","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006699 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(70) - (sqrt(70) + 3*(sqrt(70) - (sqrt(70) - 2*sqrt(70)))))\/(-5*(sqrt(10) + ((sqrt(80)*-4)\/sqrt(8) - sqrt(10)))).\nAnswer: -9*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221 + -220. Let m be (-18)\/(-8) - 1\/4. Let j be -1*(m - (1 - -1)). Sort j, i, 3 in descending order.\nAnswer: 3, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 345, 352, 361?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 6*f - 3. Let r = 0.28 - 0.28. Which is the closest to r? (a) -0.3 (b) 0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 16. Let b(g) = -2*g - 7. Let l be b(q). Suppose -j = -4*v - 20, 4 = 2*j + 4*v + 12. Solve -j = l*x - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-7)))\/(g\/g**(-7))*((g\/g**(-2))\/g)**(23\/3)*(g*g**(-2)\/g)**30\/((g\/g**(-3))\/(g\/((g\/(g**(-5\/3)*g))\/g))) assuming g is positive.\nAnswer: g**(-190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*f + 7. Suppose 2*o - 242 = -214. Let c(n) = 0 - 5 - 6*n**2 - 6*n**2 + o*n**2. Let z(u) = 2*u**2 - 6. Give f*z(a) - 4*c(a).\nAnswer: -2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 349886 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 8*y**4 + 28*y. Let f(v) = 2*v**2. What is r(f(k))?\nAnswer: 384*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/60 - 3*w**3\/2 - 2*w**2. Differentiate c(m) with respect to m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82547.6 rounded to the nearest one hundred?\nAnswer: -82500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 d when three letters picked without replacement from ucmmvadcdmcm.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*z = -213*z + 3. Suppose -j + 3 = 8*o - 3*o, 2*o - 35 = -z*j. Put j, -3, 3, 1 in decreasing order.\nAnswer: j, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 64b - -6b9?\nAnswer: d26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-60))\/(5\/25)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4697358 to the power of 1\/2, to the nearest integer?\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01088732 rounded to four decimal places?\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 1651110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*n = 5*d - 25, 0 = -2*n - 3*d + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-266)\/(-1064))\/(2*1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -16*g + 20*g. Let z(m) = -m + 18. What is z(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258334311?\nAnswer: 3, 86111437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 k when three letters picked without replacement from {o: 4, k: 2, q: 1, w: 1, f: 1, z: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1270 divided by 31127\nAnswer: -1270\/31127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 3*s + 17. Let p be w(-6). Let t(n) be the first derivative of -3*n**2 + 6. What is t(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 0.038186 (c) -5 (d) 2 (e) 9 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 + 2*j + 2. Let q be f(-1). Suppose -q*i = 4*b - 24, -4*i + 0 - 4 = -3*b. Solve -u - 3*v = -3*u - 11, -b*v = 5*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 120 = 2*j. Let i be 2 + j\/(-30)*5\/1. Let f(w) = -8*w**3 - 4*w**2 - 5*w - 5. What is the units digit of f(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x + 2*x + x)*(-2*x - x - 8*x) + 6*x**2 + 134 - 134 as g*x + k + f*x**2 and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -30, -58, -94, -138, -190, -250?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 2*h - 2*t + 16, -3*t - 6 = 0. What is the highest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 93*a. Let p(c) = 9*c**2 - 8. Let m(h) = 16*h**2 - 14. Let t(i) = -4*m(i) + 7*p(i). Determine t(k(s)).\nAnswer: -8649*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -6114*x - 6149*x + x**2 + 12323*x + 900 = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -38 + 35 + (5 - 0\/2). Suppose -q - 4 + 10 = 0. Suppose b = -b + 5*t - 9, -4*b + q = -2*t. Is b greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*z - 240. What is the greatest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 1. Let a be n(-2). Suppose 2*l - 4 = 0, 0 = -4*x + 5*l - 47 + 17. Put a, 2, -2, x in decreasing order.\nAnswer: 2, -2, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -2\/19 (c) 2 (d) 0.5 (e) 20685\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 7*y**2. What is z(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 13*p**2 + 33*p + 40. Let t be i(-15). Which is the closest to 0.2? (a) t (b) -8 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a microsecond in nanoseconds?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 9*i**2 - 7*i + 5. Calculate the remainder when 94 is divided by n(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -15*b**2 + 28*b + 226. Give v(-7).\nAnswer: -705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 33*a + 127*a + 2 - a - 3*a + 6*a + 2*a + 4*a - 4*a + (-3*a + 0*a + 4*a)*(-1 - 1 + 4) + 0 + 0 + 2*a.\nAnswer: 102*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 1, 0.2, 3\/2, -0.4, -3, 19662.9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6250 + 6281. Solve -s*t + 0*t = -248 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1 = 0, -4*j + 9*j = -q - 26 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, x: 1, i: 2}. What is prob of sequence ix?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g. Let v(d) = -34*d - 53*d - 6*d - 118*d - 7*d. What is i(v(m))?\nAnswer: -654*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142 and 3550.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 14*v**3 + 74*v**2 - 134*v + 74. Let r(z) = -31*z**3 - 150*z**2 + 267*z - 149. Let g(k) = 9*j(k) + 4*r(k). Find a such that g(a) = 0.\nAnswer: -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 13. Let p be j(-12). Let t(a) = -6*a - 1. Let q be t(2). Let k = p - q. Calculate the highest common factor of 35 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/2 - (-1 + 0). Factor -3 - 6*y**4 + a*y**3 + 12*y + 7 + 4*y**5 + 8*y**2 - 24*y - 6*y**4.\nAnswer: 4*(y - 1)**4*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 220343014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 1001650*m**2 + 50163132765*m - 200668557780.\nAnswer: 5*(m - 4)*(m + 100167)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*o = 2*o - 29, 14 = -3*y + 4*o. Suppose 39 = y*z - z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a**2 + 175*a - 8. Give i(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10149?\nAnswer: 3, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 86*w**3 + 6*w**2 + 23*w + 17. Let y(v) = -43*v**3 - 3*v**2 - 11*v - 9. Let c(n) = 3*x(n) + 7*y(n). What is the hundreds digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522338143?\nAnswer: 151, 859, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 6*q + 6. Let r be a(5). Let v be (r - 5)*377\/(-2). Suppose -b - b = -v. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3 + 2*z**2 - z**2 - 3 - 3 + 6*z. Calculate q(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 + 19*i**2 + 10*i + 15. Calculate v(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32606 - 32584. Solve 17*q - 2*m + 14 = b*q, 5*m = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*a - 13. What is the closest to a in 0.5, -2, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 3, x: 1}. Give prob of sequence xr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15636*q**2 - 11538*q**2 + 31843*q**2)*(3*q**2 - q**2 - q**2) - q**3 + q**3 - 2*q**4 to the form t*q**4 + p*q + a + y*q**3 + z*q**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228291 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25712*a**3*c**3 + 327*a**3*c + 16*a wrt c.\nAnswer: 154272*a**3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 6399397\nAnswer: -4\/6399397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 8*i**2 - 13*i - 5. Does 11 divide c(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 9:43 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 963*w - 6130.\nAnswer: 963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = -5*t. Suppose -6*m + 10*m = 0. Suppose -5*f - 2*g + 14 = m, -3*f + g + g = -18. Solve 0*i - f = l - i, l = t*i - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 4:35 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 9:21 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61554 is divided by 61520.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5\/2*m**3 + 1\/2*m**5 + 3\/2*m**2 + 0 - 3\/2*m**4 = 0 for m.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6085 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -84670, -84252, -83834, -83416, -82998, -82580?\n\"Answer: 418*z - 85088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (0 - -17)) + 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/19))\/(r**(-5)*r)*r**(2\/17)*(r**4\/r)\/r*((r\/r**(-3)*r*r)\/(r**(2\/7)\/r))\/((r\/(r\/(r\/r**3)))\/(r**(-4\/3)\/r)) assuming r is positive.\nAnswer: r**(92275\/6783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5936.749 millennia to months.\nAnswer: 71240988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (7 + 3 - 24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -63, -1 in increasing order.\nAnswer: -63, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 13 + 3 + (-6 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1609 - 1607 + 4821 + 8*g - 1604.\nAnswer: 8*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:27 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3307618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 1)*(-9)\/12. Let s(x) = -x**3 - 9*x**2 + 5. Calculate the remainder when s(-9) is divided by (-6 - 3)*1\/w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 112 = 2*d. Let m = d + -52. Sort 0, -27, m in increasing order.\nAnswer: -27, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*2*1\/(-2). Let b = -520\/9 - -58. What is the nearest to d in 4\/7, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -18 + 1 + (5 - 40) + 42.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 7*l**2 - 7*l + 9. Let g be y(6). Suppose a = -g + 7. Solve -2 = -2*r, -r = q + a*r - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 96\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) -6 (c) -2\/345 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1833671, 1833480, 1833289, 1833098, 1832907, 1832716?\nAnswer: 1832525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837178603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 7. Let h be o(-5). Let i = h + 2. Let t(p) = -p**2 - p + 28000. Let x be t(i). Round x to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, b: 11}. Give prob of picking 4 a.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exp when three letters picked without replacement from {e: 1, c: 1, g: 1, p: 1, x: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 11?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 128\/6*9\/4. Suppose 0*g = 4*g - m. Suppose 2*s - g - 8 = 0. What is the remainder when 18 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -13*o + 63. Let t(m) = 7*m - 34. Let f(a) = 6*j(a) + 11*t(a). Calculate f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4638 + -2998. List the prime factors of q.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -819 + 821. What is the nearest to b in 1, -0.5, 0, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33312310304 - 3?\nAnswer: 33312310301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201312021212 (base 4) to base 14.\nAnswer: 126d618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + (0 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**6*r\/r**(-1\/15)*(r*r**(-12\/7)*r)**17 assuming r is positive.\nAnswer: r**(202\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 2*z = l + 64, -3*l + l + 3*z = 3*l - 96 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -5*a + 92. Let w(t) = -t**2 + 9*t + 25. Let i be w(a). What is the second derivative of 14*m**3 + 25*m - 20*m**i - 10*m**3 wrt m?\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613632 a multiple of 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-nine quarters of a gram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227491690 is divided by 1002166.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 28 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -9. Let g = 6 - j. Let a = 212 - 212.2. What is the closest to g in a, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 102788603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 606\/(-1414)*(-98)\/2 + 18513\/(-884).\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-3))\/(-3 + -20). Suppose -t = 2, t + 6 = 2*d - 3*t. Is d smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*h**2 + 951*h**3 + 961*h**3 - 1909*h**3.\nAnswer: 3*h**3 - 95*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 2*y - 5. Let s be b(9). What is the highest common factor of s and 2552?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215138176 divided by -19558016.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**2 - s + s + (6*s - 3*s + 0*s)*(5*s - 2*s - s))*(4*s**2 + 10*s**2 + 4*s**2) in the form r*s**2 + i*s + d*s**3 + o*s**4 + c and give o.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11723, 22560, 32509, 41570, 49743, 57028?\nAnswer: 63425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/35042 and -17\/11721549.\nAnswer: 23443098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(153) + ((sqrt(153) - (sqrt(153) - (sqrt(153)*1 + sqrt(153)))) + sqrt(153))*-6)*-3)\/(-3*((sqrt(1296) - sqrt(1296)*1)*-5 + sqrt(1296))))**2.\nAnswer: 122825\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 s when three letters picked without replacement from wwhwwhwsswswshwwwwww.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5*b**5\/4 + 21*b**4\/2 - 289*b**3\/4 + 69*b**2\/2 + 26*b = 0.\nAnswer: -13, -2\/5, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -4, -7, 4 in descending order.\nAnswer: 4, 3, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 857*c*v**2 - 33817*c*v + 931*c + 36857*v**2 wrt v.\nAnswer: 1714*c + 73714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-54)*(2 - -1))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oosoooosoo. What is prob of sequence sos?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**4 + t**3 + t**2 + 2. Let v(j) = 4*j**4 + 13*j**3 - 208*j**2 - 4*j - 12. Let c(d) = -6*s(d) - v(d). What is the third derivative of c(p) wrt p?\nAnswer: 48*p - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*p + 3*h + 78, -5*p - h = 183. What is the hundreds digit of (179\/3)\/(p\/(-216))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19009461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4468068 and 789810?\nAnswer: 156382380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 6:40 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 - 75. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-21 + 11) - -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywwwywbfyb. Give prob of picking 3 f and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4632811415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5398207 divided by 107?\nAnswer: 5398207\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -543695, -1087427, -1631203, -2175035, -2718935, -3262915, -3806987, -4351163?\nAnswer: -4895455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*i = 2160, -2*f + 4*i = -5*f - 1268. Let o = 509 - f. Does 50 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 11696033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31292005601 from -12014.\nAnswer: -31292017615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: c (base 13) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 10*x + 4*x + 4*x - 3*x - 2*x + (5 - 2 - 1)*(x + 3*x - 2*x) - 2 + 2 - 2*x + 0*x - 2*x + 0*x - 327*x - 181*x + 246*x as d*x + j and give d.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6931851 divided by -6\nAnswer: -2310617\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d5ea2 - -ed?\nAnswer: d5f8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/20 + 5*l**4\/12 - 7*l**3\/6 + 5*l**2\/2 - 67*l + 2. Suppose 2*v - 277 = -289. Calculate m(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -23. Sort 0.3, 2, v.\nAnswer: v, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 524584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 - -87. Let a(s) = -s**2 - 3*s. Let w be a(l). Let b(n) be the first derivative of -n**2\/2 - 5*n + 1. Give b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0 = -20. Suppose 0 = v*n - 2*n - 120. Suppose -3*y + 8*y = -n. Is y less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 = 3*r, 0 = 3*z + 3*r - r - 39. Suppose -4*i = i - z. Let q(p) = p**2 + 2*p + 3. Let t be q(-3). Solve i*l + t = -0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44766071 + -44762329.7831. Let a = r + -3741. What is a rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 17*n**2 - 39*n + 104. Let y be j(-14). Calculate the greatest common factor of y and 496.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2. Let s(m) = 714*m**2 + 85*m - 85. Suppose -3*y + 1020 = y. Let a(c) = 17*c**2 + 2*c - 2. Let j(k) = y*a(k) - 6*s(k). Determine t(j(z)).\nAnswer: -2601*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/4*10*1. Let n(p) = p**3 + 6*p**2 - p - 11. Let o be n(-4). Calculate the highest common divisor of o and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*j**5 - 5*j**3 - 506*j**4 + j + 257*j**4 + 248*j**4 + (-2*j + 3*j + 0*j)*(-5*j**4 + 3*j**4 + 4*j**4).\nAnswer: -15*j**5 - j**4 - 5*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 394 and 1773?\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/111183002?\nAnswer: 1\/111183002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + (-22 - ((15 - -3) + -14 + 1))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301069657?\nAnswer: 7, 523, 82237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/28)\/(r**(-5)*r))\/(r**(1\/4))**(1\/3))**(1\/6) assuming r is positive.\nAnswer: r**(163\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 0) + (129 + -79 - 46)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/8004 and 27\/667.\nAnswer: 8004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0 = -6. Let m be -2 - y*(-6)\/2. Let w = m - 1. Solve 7*s = 3*s - w*v - 1, -3*s + 3 = 3*v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -575007*f - 5750061. Determine j(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j)**(2\/37)*j**4\/((j**(1\/5)*j)\/j)*(j**(-1\/5))**(-34)*j**(1\/14)\/(j*j*j**3) assuming j is positive.\nAnswer: j**(14969\/2590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 5:18 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 c when three letters picked without replacement from {v: 2, c: 4, i: 1, s: 4, o: 3}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*i - 32*i - 120. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23997721 is divided by 197.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 11*m - 2. Let w be f(14). What is the common denominator of -9\/4 and (3 - 3) + 134\/w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/452 and 62\/91?\nAnswer: 41132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 655408 divided by -368\nAnswer: -1781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 19*t**8\/42 - t**7\/210 + t**5\/60 + 4*t**4 + 208*t**2. Find the third derivative of v(h) wrt h.\nAnswer: 9120*h**2 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 3. What is the remainder when 20 is divided by o(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 188 + 23 - 17*p - 211. Let z(o) = 2*o**2 + 3*o. Let a(d) = -4*d**2 - 5*d. Let k(n) = -3*a(n) - 5*z(n). Calculate g(k(s)).\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 0*s**2 - 3*s**3 + 3*s**3 + 47 - s**3 - s**2. Is 12 a factor of x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-137295)\/(-27) + (2 + -4 - 1) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jmjzymmjxwzwjmxmm.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1577.3856 months?\nAnswer: 131.4488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**2 + 5 - a + 2\/3*a**3. Let o be c(0). Which is smaller: o or 1\/33?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168154 and 20?\nAnswer: 1681540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from {t: 3, h: 1, d: 5, n: 1, c: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 492*p**2 - 22*p - 8. Let k(t) = -164*t**2 + 8*t + 3. What is 3*b(d) + 8*k(d)?\nAnswer: 164*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.9 in 1\/7, -0.5, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.4 (b) 45\/4 (c) 1\/18 (d) -1\/3 (e) 313\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135321 and 18834?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -34 - (17 + (-9 - 2))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3024352 divided by 94511\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*w - 30*w = -273 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 101000110111?\nAnswer: 101000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 4230230\nAnswer: -18\/2115115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2. Let g(q) = 18*q. What is a(g(s))?\nAnswer: 324*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*s - 767*k + 762*k + 1216 = 0, 0 = 2*s - 4*k - 64 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 m when three letters picked without replacement from {a: 11, m: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1627403.6 or -12\/13?\nAnswer: -1627403.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1915 by -99.\nAnswer: 1915\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 2:53 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5*(-22)\/20)\/(3\/(-36)*1). Sort 2, -4, n in descending order.\nAnswer: n, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.8, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**2\/7 - 18432*k\/7 - 21233664\/7 = 0.\nAnswer: -2304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 r when four letters picked without replacement from {b: 3, r: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((5*-1*sqrt(847)*4)**2 - (0 + sqrt(847)*2 + 5))*-4.\nAnswer: -1355179 + 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4 and 73\/322812746.\nAnswer: 645625492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000082199704 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 2. Let k = -549 - -296. Let r = -253.3 - k. Which is the nearest to i? (a) 2 (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 11, -24, -5 in decreasing order.\nAnswer: 11, 8, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*2*-4 - sqrt(275)) + sqrt(275))*1.\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1344 and 6720.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = k + 3*m, -5*m + 4*m = 2*k - 13. Is 11 a factor of 2\/k - (-86)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 32 = -m, 5*l + 7 = -18. Suppose -5*j + 4*b = 10, -j = -3*j + b - 4. Let g = m + j. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -105, 5, 6.\nAnswer: -105, -5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*s + 72 = 0, -1504*f + 4*s = -1508*f + 72 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - ((3 - 1) + -2)\/(-1). Let r be (0*1\/u)\/(-4 - -5). Solve -4*l + 5*k + 11 = r, -l = -0*l + 2*k - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1491650 to the nearest 10000.\nAnswer: -1490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 4*g - 3*g = -168 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 82, 89, 96?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*r - 245*r + 61*r + 12*r**3 + 56*r + 65*r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 5. Calculate q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*o**2\/4 + 58385*o\/4 + 8341\/2.\nAnswer: -(o - 8341)*(7*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 not equal to 217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -14\/5, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44161 - 15812. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 19*h - 12. Determine a(4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*r - 37 - 44 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + -15*(-20)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 1128, 3976, 9526, 18678, 32332, 51388?\nAnswer: 76746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b1352b - 0?\nAnswer: -1b1352b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - o = -2*g + 4, -3*g - 4 = 5*o. Let h = g - -15. Let p = 10 - h. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2)*(-70)\/(-1120)*-880.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000827 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2385 + -2350. Let z(f) = -868*f + 35. Let o(c) = 51*c - 2. What is q*o(l) + 2*z(l)?\nAnswer: 49*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 538708.311 rounded to the nearest 100?\nAnswer: 538700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let v(n) = -2*n - 178. Determine l(v(o)).\nAnswer: -2*o - 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*h**2 - 54*h**2 - 3*h**3 + 25*h**2 - 12*h wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2897 = -1367. Calculate the remainder when r is divided by 67.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2934*b + 1504 with respect to b.\nAnswer: 2934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12651055, -25302133, -37953211, -50604289, -63255367, -75906445?\n\"Answer: -12651078*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 13*d - 41. Let h be v(-7). Solve -7*n = 1 - h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyyyqyk. Give prob of picking 1 q, 1 y, and 1 k.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/11)\/h)**(9\/2))**(-31) assuming h is positive.\nAnswer: h**(3627\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4451 - 4450.3. What is the closest to 2\/11 in -0.1, -2\/7, -1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 8*l - 32, 5*n + 10909 = 5*l + 10864 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**5\/20 + l**3\/6 - l**2\/2 + 6*l. Determine s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*u - 9 + 38 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 - 621*u - 4575. What is t(-148)?\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d**3 - d**2 + 4*d - 11. Let t(k) = -5*k**3 - 2*k + 6. Let j be -3*(-2)\/(0 - (-12)\/(-8)). Let y(f) = j*v(f) - 7*t(f). Calculate y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4998 - 10481 + f + 5483.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-35)*17135\/6854.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 562651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 20*d - 275. What is the highest common factor of 65 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-3 - (-3 - -1)). Let w(a) = 2*a**y - 79*a + 77*a + 2 + a**3 + 0*a**3. Let i(k) = -k - 7. Let s be i(-4). Determine w(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 5*h**4 + 14*h**4)*(0 - 2 + 3)*(-3 + 4 + 1)*(5 - 3 - 3*h + 5*h).\nAnswer: 68*h**5 + 68*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*f + 75, -f + x = -0*x + 24. Find the common denominator of -27\/22 and (-26)\/(-28) + f\/7.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.7 + -11.7. What is the third smallest value in 2\/23, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 21, -38 - 22 = 5*w + 5*o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54\/1333 + -515\/5332. Calculate the common denominator of 57\/155 and t.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z + 125. Let k be l(-18). Calculate the highest common divisor of 455 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1442 and 3675504.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 3492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61601942 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3597.\nAnswer: 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*k + 635463 - 621127 = 0 for k.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1185735\nAnswer: -4\/1185735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1711720 by -5.\nAnswer: -342344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (10380\/(-18) - (-2 + -2))\/(28\/(-882))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1368 + -10?\nAnswer: -1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-5\/2))\/h*h*h\/(h*h*h**(-8)))\/(h\/((h*h**3)\/h)*h*h\/h**(-2)) assuming h is positive.\nAnswer: h**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*a - v + 29 - 28 = 0, -a - 2 = v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 6. Let c(x) = 5*x**2 + 5*x - 5. Let q(p) = -7 + 8*p - 4*p + 2 + 0 + 4*p**2. Let z(u) = 3*c(u) - 4*q(u). Calculate z(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -1\/9, 0, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*l**2 + 228*l**2 - 57*l**2 + 1178*l - 60*l**2 - 1 - 57*l**2.\nAnswer: -3*l**2 + 1178*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445 = 12*j - 505 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**3 + 136*o**3 - 233*o**3.\nAnswer: -89*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 35 - 5 = 0. Suppose -6 + i = 3*n. Suppose -n*o + 21 + 15 = 0. Calculate the remainder when 21 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/13)*l**(-8))\/((l*l**(-1\/4))\/l*l)**5)**(-9\/4) assuming l is positive.\nAnswer: l**(5103\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12320 - 12319. Let q(x) = 15*x**3 - x**2 + 4*x - 3. Determine q(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-14))\/((-324)\/(-63)). Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: a059a58 (base 11) to base 14\nAnswer: 25158c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**2 + 124*g + 1353. Determine x(-12).\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 4:11 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + 0.2. Round g to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-6)*(69\/(-966))\/((-4)\/(-14)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 716122, 1432212, 2148264, 2864260, 3580182?\nAnswer: 4296012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -276*q + 13290. Calculate g(48).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53114 + 5?\nAnswer: -53109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -76 in 1.6, 0, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 + 6 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 + 17*y**2 - 8*y**2 - 2*y**2 + y**2 + 0*y**2 + (-2 + 2*y**2 + 2)*(2 + 1 - 2) - 7*y + 7*y - 5*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - v + 1 = 0, 0 = -5*l - 2*v + 3*v - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r - 3*r + 4*r)*(-7 - 9 + 3)*(-3*r + 12*r - r) in the form j*r**2 + q + u*r and give j.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -3*s + 4*o + 25, 10 = -63*o + 61*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v. Suppose 3*f + 14 = 2*u, 4*u - 23 = u + 5*f. Let a(z) = z. Let r(d) = 3*d + 1. Let o(x) = 2*a(x) - r(x). Calculate u*o(j) + 3*k(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, 1\/148, 0.05, 2, -50\/3, -1\/2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/215, 4\/3, -3 in decreasing order.\nAnswer: 3, 4\/3, -1\/215, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121247 - -121247. Factor n + 1\/10*a**3 + 0*a + 3\/10*a**2.\nAnswer: a**2*(a + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16514 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 2, e: 9, u: 7}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321131 - -1112220?\nAnswer: -202311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 23)*(2856\/(-36))\/14?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12345, 49385, 111121, 197553, 308681?\n\"Answer: 12348*k**2 - 4*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2152840146 and -1.2.\nAnswer: 2152840144.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*d + 4*w, -4*d - 2*w = -7*w - 41. Solve -3 = -3*m - 3*i - d, m = -5*i - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98538963 to the nearest integer?\nAnswer: 9927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 35576?\nAnswer: 35576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 + 4 = 0. Let i = 7 - l. Calculate the common denominator of -103\/10 and ((-20)\/i)\/((-14)\/48).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2, 0, 3, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64\/399 + 1\/57. What is the closest to 2\/3 in p, -0.3, -1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*a, -a - 3*g - 6 = 6. Let i(y) = -y**2 - 4*y - 3. Determine i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15065 from -8.\nAnswer: 15057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -2\/31, -11 in increasing order.\nAnswer: -11, -2\/31, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 + 16*f**3 - 6*f**2 - 44*f + 32.\nAnswer: 2*(f - 1)**2*(f + 2)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 1691 + 102. What are the prime factors of y?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 322569?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 10569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 6 - 60*k + 14*k - 10.\nAnswer: -46*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x. Let c(r) = -34*r. Determine c(l(i)).\nAnswer: -136*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*z + 23, 0 = a + 6*z - 3*z - 7. Let k(f) = f**3 - 5*f**2 + 1. Give k(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3.9 (b) 3\/7 (c) 0.3 (d) -5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.954 - -0.046. Let q = -40 + 146. Let k = -107 + q. What is the closest to -0.1 in b, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, q: 1, r: 4}. Give prob of sequence rq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1883, -3791, -5699, -7607?\n\"Answer: -1908*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78517, -82668, -86819, -90970, -95121?\n\"Answer: -4151*v - 74366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -3)\/(84\/(-83454)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 3) + -3 + 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*j - 318 = -2*f, 5*j - 811 = 3*f. What are the prime factors of j?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 9. Suppose c*p - p - 12 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167411 is divided by 11064?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -152 - 340. Suppose -h = -q - q. Suppose 4*g = -p + 85, 6*p - 2*p + 34 = g. What is the remainder when q is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 53*o - 2160. Let d be p(-27). Let n(v) = 3*v + 2. Let a be n(6). Solve d = w + 4*w - a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**5\/15 + 50*k**4\/9 + 442*k. Let b(q) = 0. Calculate q.\nAnswer: -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 6030?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -19. Suppose 4*d = -n - 1. List the prime factors of 1*2 + (d - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (25\/(-20))\/((12\/(-345888))\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -81978405?\nAnswer: -81978408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 5*w + 2. Let a(n) = -n**3 - 6*n**2 - 4*n. Let g be a(-5). Let f = -1 - g. Suppose 2*p - 2 = -2*x, 2*p + f = -x - 0. Determine k(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1696397 and 1124.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*w + 11, -19 = 3*b - 0*b + 5*w. Suppose -4*h - 10 = h. Sort h, b, -29, 5 in increasing order.\nAnswer: -29, b, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -315 + 317. Suppose z*l - 182 = 350. Calculate the greatest common factor of 190 and l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*t + 775 = -7*t - 11354 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 41.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2 = -18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/21)\/(((-63)\/6)\/(-3) + -2). What is the third biggest value in 2, 4, -14, i, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-3))\/((-18)\/108))\/((-34)\/(-187))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 126.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1\/9, 28, -1 in increasing order.\nAnswer: -1, -1\/9, 14, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-107)\/(-62))\/(70\/14511*3). Let j = z - 477\/4. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 131*x**3 + x + 4. Let f be (-2)\/(-21) - (-600)\/315. What is the thousands digit of l(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/1*-2. Let z = -13 - -1. What are the prime factors of c\/6 + (-70)\/z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -7 + (-2 + 1 - (-38 - (-30 - -3))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 + -11a7c35?\nAnswer: -11a7c4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*a + 20*a + 5*j + 55410, 0 = j + 8. Is 35 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -24*u**3 + 7*u**2\/2 - 14*u. Let x be b(-4). Let v = x - 11649\/20. Calculate the common denominator of v and -17\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*n - 51*n + 52*n in the form y*n + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/5))**12\/(b**(-2)\/(b*b\/(b\/(b*b**(2\/13))))))**46 assuming b is positive.\nAnswer: b**(62652\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/504 + 341\/3069 - -3*8\/(-357)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:15 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1347 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108\/3*(-3)\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228546 is divided by 616?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*i + 29*i - 1155 = 108*i for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14245.6 and 347?\nAnswer: 14592.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from daa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, n: 1, e: 5, c: 7, y: 2}. Give prob of sequence ybbb.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + sqrt(112) + 0.\nAnswer: -1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*-5*2. Suppose 0 = -0*y - v*y + 45. Calculate the lowest common multiple of 11 + 12\/1*(-30)\/60 and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -6.1. Let i = -2.9 - p. Let l = -93\/2 - -1585\/34. Which is the second smallest value? (a) i (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2647*h + 5410*h + 2160 = 2691*h for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 16) to base 11.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 7 + y**2 - 3*y**2)*(-2*y + 2*y + y**2) + 2169879 - 2169899 - 4*y**4 - 2*y**2 - y**4 to a*y**3 + m*y**2 + t + h*y**4 + s*y and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**3 - 14*h**2 + 5*h - 7. What is j(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31004 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25\/4 + 183\/28. What is the second smallest value in n, 0, 1\/2, 11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34265\/117 + 3813\/13. Let k = -0.6 + -15.4. What is the smallest value in 4, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1486\/503 (b) -1 (c) -2\/3 (d) 0.03 (e) -0.4 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 10) to base 15\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/16 - (-248)\/(-32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -14. Let d = o + -4. Suppose 25 = d*v - v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 41.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/9222 and -59\/477?\nAnswer: 27666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x**3 + 2470*x**2 + 4934*x\/3 + 274.\nAnswer: 2*(x + 411)*(3*x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y + 2*y)*(3*y + 2*y - 3*y)*(-13046*y - y**2 + 2050 + 25894*y - 12849*y).\nAnswer: -4*y**4 - 4*y**3 + 8200*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -15*w**3 + 33*w**3 + 420*w - 5*w**3 - 10*w**3 + 216*w**2 = 0?\nAnswer: -70, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(((-1)\/(-16))\/((-35)\/(-630))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/8*1\/(-25))\/(3060\/(-481950))*-4.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -9123.\nAnswer: 2\/3041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - 148. Is u at most as big as -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34202414 (base 5) in base 16?\nAnswer: -4a17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*c**2 + 99*c**2 - 188*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5080 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -14*c**3 - 22*c**2 + 992. Let a(d) = -5*d**3 - 8*d**2 + 330. What is 11*a(p) - 4*t(p)?\nAnswer: p**3 - 338","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 5*q - 2*q**2)*(9*q + 1 - 160*q - 67*q).\nAnswer: 436*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 - 55 = -13*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, 9, -42, 27.\nAnswer: -42, -4, -3, 4, 9, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Let z be -4*(-2)\/(-12)*-3. Let v be (0\/1)\/(b - z). Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -821, -3537, -8025, -14285?\nAnswer: -22317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5843 plus -51409?\nAnswer: -51408.4157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9205828?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (74\/(-20))\/(1540\/49). Let z = i - 2\/275. Let v be (-13)\/(-39) - 2\/(-3). Which is greater: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-3))\/((-8)\/(-2)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/272 - 535\/2448. Which is the third smallest value? (a) t (b) -1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -6\/11 (c) 0 (d) -5 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 144 = -4*b, 5*b + t - 4*t - 180 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 27 = -4*u + 3*p, 18 = u - 5*p. Suppose 0 = u*o - 3*o - 25. Differentiate -8 + 1 + 0 - 12*m - o with respect to m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o - 14. Let w be n(2). Calculate the greatest common divisor of w and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2666246 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + 3 + -131 + (45 - 4).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*y - 355, -2*m - 4 = -14. What is the remainder when y is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 45\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 649 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100281363 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n + 162 = -2*a, -3 = -a. Let x = -9 - -33. What is the greatest common factor of x and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 74260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 32. Let t be d(-11). Let h be (t + 0 + 17)*(-91)\/(-26). Calculate the greatest common factor of 56 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -5 (c) 37 (d) -1\/6 (e) -0.325 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3))**(-1\/4)*n*n\/n**(1\/9)*n**(-2\/21)\/n assuming n is positive.\nAnswer: n**(221\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*a*s**4 + 21*a*s**3 - 4*a - s**4 + 25*s**2 + s wrt s?\nAnswer: 288*a*s + 126*a - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -864\/31 or -120?\nAnswer: -864\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 750383679 to the power of 1\/2, to the nearest integer?\nAnswer: 27393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 8. Let z be t(-10). Let a be z + (-1 + -1 - 43996). What is a rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 560575.8 centuries?\nAnswer: 5605758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -9. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 - 3.2. Let h = -117388\/13 - -9030. Which is the biggest value? (a) h (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4404, -8812, -13226, -17646, -22072, -26504?\n\"Answer: -3*p**2 - 4399*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w. Let s(l) be the third derivative of l**4\/24 + 13*l**2. Give s(h(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 14 = -2*j + 7, -j + 5*a - 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - y - 3*y - 3*y + 4*y - 4*y + (0 + 1 + 0)*(0*y - 2*y + y) + (-2*y - 2*y + 2*y)*(11 - 3 + 0)*(-1 + 0 - 1) to the form o*y + l and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 3:02 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 21198, 4, -5 in descending order.\nAnswer: 21198, 4, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 368082 divided by 3042?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 121*t**2 - 374*t + 442. Let f be w(124). What is the greatest common factor of f and 7081?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15531056 by -8.\nAnswer: -1941382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r = -24. Is (626\/r - 2)*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4598.93 rounded to the nearest 10?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 57. Solve 3*t + 5*z = 25, -2*t + 6*t = 4*z - n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 5810?\nAnswer: 5805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.031 - 9. Round d to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**2 - 8*h**2 - 36 - 2*h**2 + 24.\nAnswer: -20*h**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*f - 51 = -106 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/82 - -209\/1968. Is 0 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66263601 (base 7) to base 14\nAnswer: -a83da8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*((2 + 0 + 0)*(3 - 2 + 1) - 6 + 2 + 2)*(135*l**3 - 340*l**3 + 90*l**3) to the form q*l**2 + t*l**3 + v + d*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 6*h + 1\/3*h**3 + 75 + 5\/2*h**2. Give m(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, j: 4, l: 2, k: 1, t: 2}. Give prob of picking 1 k and 1 g.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-168)\/(-3) + -11 + 8. Which is the closest to 2? (a) l (b) -0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*s + 5*m, -7*m + 54 = 2*s + 70 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 11*d**3 - 10*d**3 - 1 + d**2 + d**2 + 2*d**4 - 18 to the form m + n*d + b*d**4 + i*d**2 + l*d**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 34278\nAnswer: 1\/17139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 3142120320?\nAnswer: -3142120311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 12:00 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 3720?\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 1, v: 1, c: 1, a: 3}. What is prob of sequence jc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4798*h**5 + 4299*h wrt h.\nAnswer: 95960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63469, -61469, -59469, -57469, -55469?\nAnswer: -53469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 45*n - 41*n + 18, 0 = -2*t - 5*n + 18. Sort t, 0, 10, 5, -3 in decreasing order.\nAnswer: 10, t, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.011 - 0.066. Let z = t + 1.777. Which is the nearest to 2? (a) -5 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8000 = m + m. Let h be ((-21)\/(-28))\/((-2)\/m). What is h rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 36*o**2 - 360*o - 173. What is q(-19)?\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3369879?\nAnswer: 3, 233, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + f = 6, 7 = 4*z + 4*f - 1. Let v(o) = -2 - 6*o - 5*o**3 + 4*o**3 - 3*o + 11*o**2. Let w be v(10). What is the highest common divisor of z and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -188046369*m**3\/2 + 5076072645*m**2\/2 + 31839737*m\/2 + 49923\/2.\nAnswer: -(m - 27)*(13713*m + 43)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-56)\/12)\/((-12)\/36). Calculate the highest common factor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 149*l + 11 + 96*l**2 + 148*l)*(-44 - 46 + 0).\nAnswer: -8640*l**2 + 90*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3. Let d(q) = -71*q**3 + q**2 + 14*q. Let c(n) = -3*d(n) - 3*m(n). Find the third derivative of c(u) wrt u.\nAnswer: 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5*v + 47626, 4*v - 47599 = 4*i - 5*i. What is the ten thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 959 + 1017 - 1481 + 8*s**2 to f + b*s**2 + c*s and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 + 61*d - 5 - 3*d**3 - 62*d + 4 + 0 as x*d + y + r*d**4 + o*d**2 + s*d**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 426 = -404 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -3 + (-8)\/(-2). Let p(y) = -y + 13. Let j be p(l). Solve 2*o - c = 2*c + j, 0 = -3*o - 2*c - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - -1. Suppose b - y = 4, 2*y - 13 - t = -4*b. Let x(o) be the second derivative of -o**3\/3 + 2*o**2 - o. Give x(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*-3)\/((-3)\/((-22)\/((-154)\/(-21)))). Let s be 1\/((12\/27)\/(-4)). Sort s, i, 2 in descending order.\nAnswer: 2, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**2 + 13*m - 6. Let s be l(2). Solve 8 = -6*u - s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 4*n = -2499266. Let c = n - -314225879\/1383. Let g = c - 113915\/63618. What is the common denominator of 41\/12 and g?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19680 and 43870.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.075 * -14.\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 < -310343.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14580 from -47.01717.\nAnswer: -14627.01717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21973, -87901, -197775, -351589, -549337, -791013?\nAnswer: -1076611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-266)\/(-63) + 1 + (-11)\/9. Suppose 3*l = 3*t, -9 = -3*l + 6. Factor -2\/3*j**2 + 2\/3*j**q + 0 + 0*j**3 + 1\/3*j - 1\/3*j**t.\nAnswer: -j*(j - 1)**3*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10)*-1*(-1875 - (-5 + 0)). Calculate the greatest common divisor of o and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -53. Solve -2*b + p = -4*c, -2*c + 2*b = -b + 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/8 + 18\/(-24). Suppose 88 = k*g + 32. Calculate the greatest common divisor of 308 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (sqrt(832) + -1))*2*-5*-2 + 0)**2 + 1.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:39 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o - 4*o + (4*o + 2*o - 5*o)*(-5 + 4 + 0))*(1 - 2 + 9 + (7 - 4 - 4)*(-1 - 1 - 1)).\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1)*2\/(-1). Let i(q) = q**2 + 46*q + 408. Let c be i(-34). Put -3, k, c, 2 in increasing order.\nAnswer: -3, c, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 131*u + 655. What is i(60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/3, 2, 1\/10, -53995, -0.3, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -h - 11, -52*c + 49*c = -2*h - 24 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -40 + (-3 - (-1 - 2)). What is the units digit of ((-6)\/5)\/(12\/q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675 = -g - 672, -9 = -3*m + 3*g. What is q in -3\/2*q**2 + m*q - 6 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 51*h**3 - h**2 - 2*h - 2. Let w be i(-1). Let z be 8\/w - (-3)\/((-39)\/(-28)). Let b(p) = 69*p**3 - 2*p**2 - p - 1. Is b(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-6\/5))**7*x\/x**(-27)*x*(x\/x**(3\/5))\/x assuming x is positive.\nAnswer: x**(219\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 31*a**2 - 32*a + 53. Let r be (-2 + 14\/3)\/(212\/2385). Calculate w(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -3 + 1\/4. Suppose 0 - 3 = 3*w. Is h less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14020 + 14477. What are the prime factors of d?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.69 and 1.517?\nAnswer: 10.14873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(i - 10 + 12 - 53) to the form j + d*i and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 59*b**2 + 12*b + 8. Let z be k(-6). Let v = z - 1021. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riirhgrrh. Give prob of sequence ihig.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 13) to base 11\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -870 = -3*v - 3*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/15983 and 47\/94445.\nAnswer: 1038895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -1) + (16 + -14 - -14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0)\/(-2 - -3). Suppose 2*w + 4 = a, 5*w + 31 = 3*p - 0*p. 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 remainder when 3985 is divided by 210?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f = -30. Let k be (-196)\/f + 9\/27. Let p = k + -18. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51 (b) 0.1 (c) -6\/25 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4\/19 - 8*g**3\/19 - 750*g**2\/19 + 2276*g\/19 - 80 = 0.\nAnswer: -19, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 1\/2 (c) 0.4 (d) -14 (e) 1\/20 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7. Let u = 50.4 + -15. Let z = u + -35. Put z, -4, o in descending order.\nAnswer: z, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 14455?\nAnswer: 14455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170193000 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 40. Suppose 3*o = -0 + n. Suppose 2*i + 7*m - o*m = 47988, -3*i + 2*m = -72008. Round i to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5812.338 centuries?\nAnswer: 6974805.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-6))\/(2\/8). Suppose f + 3*o - 13 = 0, -3*f - 9 = -4*f - 2*o. Let t be f + (4 - (-65)\/5). Calculate the highest common factor of u and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/6 and 2680\/240*4\/102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6401 + -5730. What is the remainder when t is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(6)*-2)\/(sqrt(16)\/sqrt(2)*3).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**4\/28 + 8*w**3\/21 - 425*w**2\/14 - 7780. Factor r(z).\nAnswer: z*(z - 17)*(z + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, 12, 2\/321, 0.03, 1\/5.\nAnswer: -3, -0.5, 2\/321, 0.03, 1\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 19*v + 21 + 7123*v**2 - 3546*v**2 - 3578*v**2. Calculate q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + 1.4. Which is the biggest value? (a) w (b) -0.2 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 5*c**2 - c + 2. Let i be y(5). Let h be 9*(i + (-12)\/(-3)). What is the highest common factor of h and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049*0.321.\nAnswer: -0.015729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 41*j**4\/4 + 44*j**3\/3 + 22. Find the third derivative of m(u) wrt u.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164690181 to the power of 1\/3, to the nearest integer?\nAnswer: 1609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*s - 80. Let c = s + 20. What is the second derivative of 2*l + 6*l**2 - l - c*l wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 627189 - 627188.100018. Let a = -5 - -5.9. Let r = h - a. Round r to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b + 3. Let l(u) = -4*u + 2. Let h be (-60 - -59)\/((-5)\/(-45)). What is h*l(d) + 4*o(d)?\nAnswer: 4*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1598 (c) -179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319499.\nAnswer: 319499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 10, 32, 66, 112, 170, 240?\n\"Answer: 6*b**2 - 8*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454135851.\nAnswer: 3, 13, 23, 168761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahaayyahha. Give prob of picking 1 a, 1 y, and 1 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a - 17. Let w(j) = 2*j + 7. Let d(g) = h(g) - 3*w(g). Give d(6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -24, -68, -138, -240, -380?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14747, 14746, 14745?\nAnswer: 14744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-20 - (-4 - -9)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 1 + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65672*s + 65664*s - 8 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*r + 23 = 0, a - 31 = -5*r - 9. Suppose -5*o = -17 - 8, -2*o + a = -z. Suppose -2*j = -j + z. Let m(k) = k**3 + 4*k**2 + 4*k. Determine m(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19320 and 30912?\nAnswer: 154560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwx when three letters picked without replacement from {w: 2, c: 1, g: 1, x: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 125. Let g be u(-27). Suppose 4*r - 80 = -r. Let p = g - r. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 51*v + 8 + 34 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8 = 82. What is the units digit of 6\/(-15) - (-1482)\/h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 3 (c) -6 (d) -0.9 (e) -37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4880491 and 1771.\nAnswer: 112251293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205589265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40487393.\nAnswer: 29, 59, 23663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 - 107. Suppose 0 = 5*y - 15, 5*z + 0*y - 5*y - 5 = 0. Suppose 2*p + 4*j = 8, -z*p - 2*j = -2 - 2. Sort p, 4, b in increasing order.\nAnswer: b, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (195*p**2 + 77848*p - 155678*p + 77843*p)*(-2*p + 4*p + 0*p).\nAnswer: 390*p**3 + 26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22457, 22456, 22455, 22454?\n\"Answer: -d + 22458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169351 is divided by 88?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - t - 18. Let y be f(3). Suppose -2 + 2 = y*p. Factor -1\/2*h**2 + 0*h + p + 1\/8*h**3.\nAnswer: h**2*(h - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1879*h**2 - 14 + 16.\nAnswer: -1879*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 104*q + 11. Let u(j) = 309*j + 31. Calculate 11*l(c) - 4*u(c).\nAnswer: -92*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 939*s**3 - 7*s**2 + 123*s - 576. Is x(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*c = 7*c - 645, 2*o + 5*c - 261 = 0. Let k = 131 - o. Solve 4 = m, 0*m = 4*w - k*m + 16 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6*18\/(-3). Let n(u) = -3*u - 1 + t*u + 3*u. What is n(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4. Suppose -2*t + 18 = 4*j, -h*j = -5*t - 4 - 3. Suppose -t = q - 6. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 24*v - 45. Let j be g(22). Let z be (14*j)\/(-3 + 4 + -3). Let y(q) = -q**3 + 7*q**2 - 2*q + 6. Determine y(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635960 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2))**39 assuming f is positive.\nAnswer: f**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 16. Let k be g(7). Solve -z + 2 - 5 = d, 0 = -k*z - 5*d - 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4486 = 1568. List the prime factors of n.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -l - 15, l = -2*c - 0*l + 30. Let p be 9 - (0 + 1 - 4). What is the common denominator of 64\/9 and (p\/(-80))\/(c\/(-84))?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/29? (a) -9 (b) -0.5 (c) 21\/205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x + 2*x + 3*x - 5 + 5*x**2 + 4*x. Let h = -1816 + 1819. Let y(a) = 9*a**2 + 11*a - 9. Calculate h*y(u) - 5*f(u).\nAnswer: 2*u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 1 + 1 + (-1 - 1 + 1)*(-2 + 2 - 2*d**2) - d**2 - d**2 + 3*d**2 - 3 + 3 + d**2 - d + d - 2*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -4*w - 1\/6*w**3 + 0 + 0*w**2. Let i(q) be the first derivative of q**2\/2 - 17. Calculate i(o(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3318 and -0.5.\nAnswer: -0.1659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941341.\nAnswer: 17, 55373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1\/(-3))\/(7\/42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 9\/52*b**6 + 9\/65*b**7 + 0*b**3 - 97*b**2 + 7\/312*b**8 + 9\/130*b**5 + 0*b**4 + 0*b + 0. Factor l(p).\nAnswer: 2*p**2*(p + 3)*(7*p + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 5512*u**2 + 8955*u**2 - 2*u.\nAnswer: 14467*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 + -8.13. Let c = o - -7. Let b = -0.26 + 0.06. Sort c, 1\/3, b.\nAnswer: c, b, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 40 = 2*k, -3*k = -6*h - 37475 + 37517 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -1\/5, 5, -2\/57 in decreasing order.\nAnswer: 14, 5, -2\/57, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21527 times 8\nAnswer: -172216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57439, 57443, 57449, 57457?\nAnswer: 57467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 204*s**2 + 5468*s + 925. Give y(228).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3427 - 2718 - 6057 + 2355 + 1268)*(s - 6*s + 2*s) as c + l*s and give l.\nAnswer: 25737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 958289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94801 + 27076 = -43*w. What is the remainder when w is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240220 - 43?\nAnswer: -240313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - -0.2. Let o = 11.691 - 11.191. Which is the closest to -2? (a) w (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 14568*o - 189891.\nAnswer: 3*(o - 4869)*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 72. Suppose -p + v*a + 97 = 0, 5*p - p = 2*a + 370. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2. Let i(h) be the third derivative of h**5\/6 + 193*h**2. Determine v(i(j)).\nAnswer: 100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33 from 7474.\nAnswer: 7507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus 384325?\nAnswer: -384341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 365506 divided by 3?\nAnswer: 365506\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z. Suppose 3*q - 2 - 4 = 0. Let v be p(q). Suppose -3*t - v = 35. Is -19 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 8*s**2 - 10*s + 5. Give j(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-7))\/(111\/777)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66315 divided by -5?\nAnswer: -13263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.12, 0.4, -0.3, -0.27 in descending order.\nAnswer: 2, 0.4, 0.12, -0.27, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20266\/5355 - -4\/595. Calculate the common denominator of r and 73\/172.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 62\/930 + (-830)\/75. Let i(d) = -5*d**2 - 9*d. Let z(u) = 14*u**2 + 26*u. Let s(o) = -17*i(o) - 6*z(o). What is the tens digit of s(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*-2)\/sqrt(2))\/(sqrt(14)\/(sqrt(7) - (sqrt(112) + sqrt(7))) + (sqrt(2) - (sqrt(54)\/sqrt(3))\/sqrt(9))).\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {y: 4, c: 4, s: 6}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 11*y + 3. Let f be i(-8). Suppose 25*m = 28*m - f. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -326, -2775, -9420, -22361, -43698, -75531?\n\"Answer: -350*a**3 + 2*a**2 - 5*a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 - 2*y**2 + 2*y**2)*(41*y - 5*y**2 - 41*y - 2) to the form s + p*y**3 + k*y**2 + b*y + x*y**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/3 + 1541522*y**2 - 27747368*y\/3 + 12332160 = 0 for y.\nAnswer: 2, 4, 4624560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105646 - 105647. Let i be 6\/2*(-52)\/6. Which is the biggest value? (a) -0.7 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/10)\/(-7*(-5)\/350)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/6, -0.5, 41 in decreasing order.\nAnswer: 41, 6, 1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*k**2 - 39*k - 222 + 224 + 2*k**4 - 35*k**2 in the form p*k + d*k**2 + l*k**3 + x*k**4 + q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 484862, 969699, 1454514, 1939307, 2424078, 2908827?\n\"Answer: -11*v**2 + 484870*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43 and 1060337?\nAnswer: 1060337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(24\/582) + -5. Is a >= 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 13*b**2 - 6*b - 4. Calculate v(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3516*v - 3508*v - 4*v**3 - 15*v**3 - v**2 in the form u*v**2 + r*v + l*v**3 + d and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -321?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3231, -3266, -3325, -3408?\nAnswer: -3515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.21 - 0.21. Let m = 0.5 - l. Which is the third smallest value? (a) 0.01 (b) -0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.03667 + -0.03667. Which is the nearest to 2? (a) -26 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 5*c + 1 + 24, -3*c + 18 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 10. Let f be c(-8). Let s(o) = 0*o - 9*o - f*o - 7*o. Let j(l) = -2*l. Calculate s(j(i)).\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, y: 3, w: 3, l: 2}. Give prob of sequence iil.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24387.\nAnswer: 3, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258260550, -258260548, -258260546?\nAnswer: -258260544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.4, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 2334, 2, -1, 17 in descending order.\nAnswer: 2334, 17, 2, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 738, 16.\nAnswer: 9, 16, 738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.731084 rounded to one dp?\nAnswer: -241.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -231.1 + 248. Let c = -22 + b. Let s = -9.4 - c. What is s rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/15*(-1 + 7) + 2. Let j be 1035002*2 - q\/1. Round j to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57\/638 - -5\/22. Which is smaller: -0.63 or o?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/27)\/(24\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5*5\/(-15))\/((-2)\/6). Solve -4*c = -3*x, o*c + 7 = -0*x + 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107310, -214604, -321888, -429156, -536402?\nAnswer: -643620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/37036929 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**4 - 12*z**3 + 36 - 24*z + 4*z**4 + 26*z**2 - 28 + 2*z**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 708145200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 426540*x - 81 + 5*x**2 - 426540*x + (-2 - x + 2)*(-5*x - 1 + 1) to r*x + d + q*x**2 and give d.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkwy when four letters picked without replacement from wykwyk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423422 = 59*k - 3740798. 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 next term in 66, 51, 10, -69, -198, -389, -654, -1005?\nAnswer: -1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 33. What is the least common multiple of u\/(-2) - (-39)\/2 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 1845 = 3*g. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 10. Let c = 19 + j. Let d(w) = -w**2 + 11*w + 14. Let u be d(c). Solve 2*h = -u*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34934568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 11. Let j(g) = -13*g**3 + 2*g**2 + 2*g. Let r be j(z). Let y = -36 + r. Calculate the greatest common divisor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.383 - 0.083. Which is the closest to 5? (a) 0 (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -268 (c) 1 (d) -5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/4 + 125617*n\/4 - 376833\/2 = 0.\nAnswer: 6, 125611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.5, 135, -4, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - 2*f**2 + 55271*f**3 + 2 - 55249*f**3 - 2*f - 4*f**4 as a + j*f**4 + w*f**2 + h*f + r*f**3 and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 280 divided by 36351\nAnswer: 40\/5193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-9) - (-3 - -5). Which is the nearest to -1\/2? (a) p (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3 - t + 2 - 2. Let p = 20 + -28. Let w be u(p). Solve -5*f + 4*a - w*a = 15, f - 2*a + 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 27*u + 25*u = -43, -2*u = 5*a - 55 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -70?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101110101 (base 2) in base 6?\nAnswer: 4033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0, 1, -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(((c**(-3\/4)*c)\/c)\/c)*c**(-5\/3)\/c assuming c is positive.\nAnswer: c**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69733422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 6*m - 3. Let w be h(6). What is the third smallest value in w, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(18\/8))\/((-2)\/20*-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4402 times -287?\nAnswer: 1263374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11069\/9 - -1228. What is the common denominator of x and 22\/81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6d9f3 - -b?\nAnswer: -6d9e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 99, 198, 297, 396, 495?\n\"Answer: 99*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:55 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7815 is divided by 59.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*c - 1058 - 533 = 285*c + 2693 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.2 from 27564.\nAnswer: 27561.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 38 = -3*y, 0 = y - 3*y + 3*q. What is the remainder when 22 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418137 (base 11) to base 13\nAnswer: 1a5a5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1117781*m**4 + 2*m**3 - 2*m**2 + 7127*m - 157 wrt m.\nAnswer: -13413372*m**2 + 12*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, -80, -462, -1246, -2564, -4548, -7330, -11042?\nAnswer: -15816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 9, f: 2, p: 1, e: 7}. What is prob of picking 1 b and 1 f?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 5, -1\/2108, -0.2, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0, 3, -23, -1\/13 in decreasing order.\nAnswer: 3, 0, -1\/13, -1\/4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 36 = 120. Let j = x + 57. Suppose -5*f = j - 15. Let m(a) = -a**2 + 13*a + 4. Let o(z) = 4*z + 1. Determine f*m(k) - 7*o(k).\nAnswer: -2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1700)*2)**2 + -6*(sqrt(1700) - (sqrt(1700) + (-1 + sqrt(1700) - sqrt(1700)) + sqrt(1700)))**2.\nAnswer: -3406 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/38 - 14\/19. What is the nearest to -7\/6 in 2\/11, c, 2\/79?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 6*l + 5. Let m(d) = -d**2 + 2*d + 6. Let v be m(0). Let y be k(v). Let b = 0.2 + -3.2. Sort y, b, -5 in increasing order.\nAnswer: -5, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 11:40 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/12)\/(3*12\/1080). Let k = -179\/3 + 59. Which is the closest to -2? (a) k (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(77)\/sqrt(7)) + (3 + sqrt(2448) + sqrt(2448) - sqrt(2448)) + (1 + sqrt(425))*-5*-1 + 1)**2 + -2.\nAnswer: 684*sqrt(17) + 24627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 16. Let t(a) = -7*a + 31. Suppose -161*o + 74*o = 522. What is o*t(w) + 11*i(w)?\nAnswer: -2*w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 4*g**2 + 3. Let n be v(-3). Suppose 0 = -3*y + 7*y - n. Suppose y*l + 7 = -5, -3*a - 2*l + 106 = 0. Is a a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.2 - -26. Which is the closest to 1? (a) 5 (b) s (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*r + 15. Let m(t) = 21*t**3 + t**2 - t + 16. Let j(h) = 10*h**3 + h**2 - h + 7. Let s(q) = 5*j(q) - 2*m(q). List the prime factors of s(r).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 332050 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 5*i + 6. Let k(w) = 2*w**2 + 9*w - 11. Let z be 17\/(170\/108)*(-100)\/(-6). Let b = z + -183. Give b*k(n) - 5*m(n).\nAnswer: -n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8317028311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**5 - 18*r**4 + 24*r**3 + 18*r**2 - 27*r = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + -6*(sqrt(1584) - (sqrt(1584) + -1)) + (sqrt(1584) - -3*(sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 2 + sqrt(1584))**2))) + -3.\nAnswer: -19023 - 204*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(130) - sqrt(130) - (sqrt(130) + (sqrt(130) - sqrt(130)*-3)*5))\/(6*sqrt(10)*3 - sqrt(10) - (sqrt(20)\/(sqrt(12)\/sqrt(6)) - sqrt(10))).\nAnswer: -7*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 482120 and 709000.\nAnswer: 12053000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:24 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 31*l**2. Let h = -34 + 40. Let b(y) = 0*y + 5*y - h*y. What is b(z(k))?\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -9\/2929762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.71 - -0.71. Let i = 75 - 53. Sort w, i, 1 in increasing order.\nAnswer: w, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-15)\/3) - -2. Solve -u = -5*r - 3*q, -6*r + 3*r = -q - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:08 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -8*h**4 - 9454*h**3 + 145574*h**2 - 550220*h + 478800 = 0.\nAnswer: -1197, 5\/4, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 547 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = 4*q - 5, -3*u = -q - 11. Suppose u*a = f - 6*f + 215, -2*f = -3*a + 124. What is the common denominator of (5\/(-12))\/((-4)\/(-18)) and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 178\/11, -0.047759, -0.4 in decreasing order.\nAnswer: 178\/11, -0.047759, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a - 10. Suppose 71 = -5*p - 11*y, 13*y - 15 = 3*p + 15*y. Put 4, 1, p, a in decreasing order.\nAnswer: a, 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7920\/(-32)*(-4)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 4, -0.076, -38 in descending order.\nAnswer: 4, -0.076, -14, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/(1*2*(-10)\/((-1400)\/70)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 11*y**2 + 10*y + 26. What are the prime factors of n(11)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20103 (base 4) to base 5\nAnswer: -4111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.066+0.05881\nAnswer: -0.00719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54480 is divided by 18065.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9669948089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(891) + 1 - sqrt(891)*1*1)**2 + -3 - (1 + sqrt(891) + -3 - (0 + sqrt(891) + -4)**2)) + 1.\nAnswer: -81*sqrt(11) + 908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -203 + 226.04. Let i = q - 26. Let o = 0.04 - i. What is the third biggest value in 4, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2632944 divided by -658236?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66708 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 20\/(-8) - (-3)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21746 from -31.81.\nAnswer: 21714.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10*x + 150395 = -11*x, -z = 5*x + 30055. Round z to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8544 and 58473?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 u, and 1 q when three letters picked without replacement from qnguuqnuznw.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + a0?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nannnnnnnanaaa. Give prob of sequence nnnn.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -43796?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15399\/5 + 3094. Which is smaller: 14 or c?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 19 = 81. Let j = o - -47. Let y = 211 + -126. What is the remainder when y is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*2)\/(sqrt(144) + sqrt(4)).\nAnswer: 8*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 23*z**2 + 356*z - 7348. Give x(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 32800*i - 53792000.\nAnswer: -5*(i + 3280)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8143824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + 128. Suppose a = -0*a - 2*d + 22, 4*a + 2*d = i. Solve a = -4*q, 0*q + 2*q = 4*x - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-7)\/7)\/(3 + -10). Put 5, -2\/13, -0.3, d in decreasing order.\nAnswer: 5, -2\/13, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1362474 - 0.4\nAnswer: -0.2637526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*c**3 + 448*c**3 + 23 - 23.\nAnswer: 680*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**3 + 5*u**2 + 6*u - 1. Let k be h(-2). Suppose k*i - 15840 = -6*i. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 80*s - 9*s**2 + s**2 + 2 - 14*s**2 - 3*s**2.\nAnswer: -23*s**2 + 80*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-5)*40\/8. Let m = 26 - 27. What is the tens digit of (-2)\/m - (-44 + z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y = -61*y - 9*y + 117. Solve -3 = d - y*n, -4*n - 11 = d - 22 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -1 - (-32)\/(384\/7908). Solve -562 = 19*n - j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - -0.7. Let p = d - 0.6. Suppose 1 + 1 = -2*c. What is the second smallest value in -3, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249407747?\nAnswer: 12611, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5057?\nAnswer: 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*u**3 + 389 + 1121 - 248.\nAnswer: -157*u**3 + 1262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-406788)\/2180*130\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2481*g**3 - 57*g**3 - 2934*g**3.\nAnswer: -5472*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 4:44 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 30*n - 5. Let k be c(1). Let h = k - 51. Let r = 13 - h. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179 + -177. Solve -7*x + b*x = -c - 10, 5*x = -2*c + 25 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((5 + -7 - 0) + -4 + -13)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = 4*v - 1, 17599*v + 3*n = 17598*v - 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p + 423 - 471. Let r be (0\/2)\/(2\/2). Suppose o - 4 = -p*c - 6, r = -2*o - c + 3. Is 2 not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513) + sqrt(513)*-4)\/(sqrt(27)*-4).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6918 - 25181. Let y be -195*(3 - c\/(-21)). What is y rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 1252856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o**2 - 9*o + 3. Let j(m) = -4 + 2*m + 25*m**2 + 3 + 0*m - 27*m**2. Calculate 2*i(v) + 9*j(v).\nAnswer: -2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*y - 21, -5*y + 0*j = j. Let t be 1 + 7 + -1 + y. Suppose 4*x - 14 = -t. What is the greatest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r**3 + 17*r**2 + 46*r**2 + 14*r**3 + 12*r**3 - 63*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5*c + 30, 4*c - 5*c - 1 = 0. Let l(h) = 2*h**2 - 3*h - 1. Let v be l(3). Let k = v + x. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.09223ml in litres?\nAnswer: 0.08709223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2, -0.3, -3, 4 in ascending order.\nAnswer: -3, -2\/5, -0.3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/6 and -7\/298.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 53*x + 44 - 22)*(2*x + x - 2*x).\nAnswer: -53*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67750 divided by 542?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.5 - 1040?\nAnswer: -1027.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 1171 = -1147 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + u**4 - 2*u**4)*(-185 - 213 + 445)*(0 + 2 - 1)*(6 - 3 - 1)*(3 + 3 - 5).\nAnswer: -188*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37.402 + 37.425471. What is a rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -879*b**3 + 547*b**2 + 174*b**3 - 423*b**2 wrt b.\nAnswer: -4230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035137 to 4 dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 1. Suppose -2*q + q + 6 = 0. Let l be y(q). Suppose 2*o = 2*i + 10, 0 = -i + 4*o - l*o - 7. Is -7 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(-1)))**(4\/17))**(-3\/2)*((i\/((i**(1\/2)*i)\/i))**(-12))**50 assuming i is positive.\nAnswer: i**(-5094\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65 + 65 + 159)*(-3*z + 4*z + 3*z) to the form q*z + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1645 + -1124. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -309919 and -12134.\nAnswer: -322053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c + 4 - 3 + 9 + 1. Calculate the remainder when u(0) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -209*(-2 - -2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.771 + -40214746?\nAnswer: -40214746.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4429 + 159455\/36. Find the common denominator of d and 82\/24*4\/9.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 3 + 215 + -173?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392796 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1285 divided by 257?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2\/3 + 5909762*k\/3 - 13789412 = 0.\nAnswer: 7, 2954874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3811 + 230*u**3 - 229*u**3 - 257*u + 3803 as j*u + l*u**3 + r*u**2 + g and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**2*n**3 + 76*l**2*n**2 + 2*l**2*n + 30*l**2 + 803733*l*n**3 wrt l.\nAnswer: -2*n**3 + 152*n**2 + 4*n + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 436686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -22*i - 4. Let d(y) = -2 - y - y - 9*y. Let t(k) = -7*d(k) + 4*m(k). Is t(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17+-385862919953\nAnswer: -385862919970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 13 + (-49)\/(-7) + 2\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55699414?\nAnswer: 2, 193, 144299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 706, 1211, 1724, 2245?\nAnswer: 2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -37*r + 833. Let q be l(21). What is the greatest common divisor of 5404 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7520980 at least 7521014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.20032 to two dps.\nAnswer: -149.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/6 + 2*i + 118. Let d(j) be the second derivative of j**4\/12 - j. Give d(g(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7741440*m + 3*m**2 - 7741440*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h**2. Let k(j) = 9*j**2 + 0*j**2 - 2*j**2. Calculate d(k(a)).\nAnswer: 294*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 - 17*x - 74. Let o be v(7). Solve -o*a - 5*w - 4 = 1, a = -5*w - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = -4*x - 313 + 319, -5 - 39 = 4*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2284, 0, -16, 7, 1 in increasing order.\nAnswer: -2284, -16, 0, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 6695?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 29. Let u be r(13). Let i(l) = -l**2 - 23*l + 1. Let g be i(-23). Solve -3*s - u = -g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 5443700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b**2 - 2*b - 18. Let i(k) = -81*k**2 + 21*k + 189. Let f(p) = -2*i(p) - 21*x(p). Let l(v) = 197*v**2. Determine l(f(w)).\nAnswer: 7092*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 368832\/103734 + 526\/9?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*u + 0*u + 19 = 0, -4*u - 1 = 3*n. Let g = 14 - 12. Let s = g + n. Sort 1, s, 4 in decreasing order.\nAnswer: 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = -3*j, -10 = -r + 4*j. Suppose r*t - 5*t = -30. Suppose -7 = x - t. Solve x*m = 1 - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(104)*5 - 1*sqrt(104)*-3)\/(-1*sqrt(48)\/sqrt(6) + sqrt(968)*3))**2.\nAnswer: 13\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 44. Suppose 3*l = 4*l + 6. What is the remainder when i is divided by (-216)\/(-28) + l\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 23\/8 of a milligram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 0*m**3 - 1\/2*m**2 + 1 + 0*m**4 + 1\/6*m**6 + 0*m + 0*m**5. Find the second derivative of z(u) wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*((-765)\/6 - 4\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = -3*d + 9, 0 = 5*d - 15. Let v(w) = w - 18 - 4 + 35 - 2. Let t be v(-6). Solve 2*f + 5*b = 6, j*f = t*f - 4*b - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247767?\nAnswer: 3, 13, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and (173 - (0 - 2)) + 66\/11?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**8\/2880 - y**7\/3780 + y**4\/3 + 4*y**2. Let b(n) be the second derivative of u(n). Determine t, given that b(t) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**3 + r**2 - r + 4. What is the units digit of d(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z - 32. Let m = 27 + -16. What is the least common multiple of m and f(-18)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -505ad9 (base 16) to base 3\nAnswer: -100220112210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -499*f**4 + 144*f**2 - 10 + 4 + 788*f**4 + 0 wrt f?\nAnswer: 6936*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*i = -96*i + 142*i + 72*i + 13640 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.9 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36418*s**2 + 60497?\nAnswer: 72836*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21943 - 53557.\nAnswer: -75500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110647867.\nAnswer: 11, 10058897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.87 less than -0.5?\nAnswer: 16.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5568 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 5 = -10*b + 50, 4*p - p - 2*b = 4*b - b - 4 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461663659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3\/5 + 109827*o**2\/5 - 658878*o\/5 + 878472\/5 = 0. What is o?\nAnswer: 2, 4, 36603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -28*f + 103. Let o(m) = 225*m - 820. Determine 25*k(g) + 3*o(g).\nAnswer: -25*g + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3 + (-3 + 4 - 3)*(-2 - 3 + 7))*(-35 + 91 + 59)*(1 + 6 - 3)*(y + 2*y - 2*y).\nAnswer: -2300*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 39996*p - 1439729. Give i(36).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3600 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**4 + 5. Let u(d) = -8*d**4 - 15. Let v(m) = 11*p(m) + 4*u(m). What is the derivative of v(n) wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4*i = -0*x - 21, 2*x - 2*i - 6 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + 2*z**3 - 4*z**3 + (-2*z**3 + 0*z**3 + 3*z**3)*(-8 - 1 + 0) + (2 + 3 - 4)*(-4*z**3 + z**3 + z**3).\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5992, 24157, 54594, 97435, 152812, 220857, 301702, 395479?\nAnswer: 502320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4628*n**2*q + 3*n*q - 20*n + 3 wrt n.\nAnswer: -9256*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -48012.19 rounded to the nearest ten?\nAnswer: -48010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*b**3 - 25 + 23 - 2*b - b**2 - b**4 - 42*b**3 to r*b**2 + h + g*b + x*b**4 + a*b**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117937?\nAnswer: 117937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*g - 100*g + 2 + 39*g + (6 - 3 - 1)*(2*g - 3*g - g).\nAnswer: -23*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-225)\/180*2*(-290)\/(-100)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 292*p**5\/5 + 13812*p**4\/5 - 14104*p**3\/5.\nAnswer: 4*p**3*(p - 1)*(73*p + 3526)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 2*z - 64 = 0, 95155*z = -2*u + 95156*z + 69 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -612133, -611795, -611457?\nAnswer: -611119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 + 113. Solve w*f - 20*f = 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1191896 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3647 + 3643. Sort -1\/17, s, 0.6, 0.2.\nAnswer: s, -1\/17, 0.2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 195 - 115. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42888 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222 by 3.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120513853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3733977, 14935914, 33605809, 59743662?\n\"Answer: 3733979*l**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 770966?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 30 = -2*y + 12, -4*q = y - 69. Let p be 280\/q - (-1)\/(-2). Calculate the highest common factor of 187 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 670*w + 402*w - 138*w + 603*w + 680*w to s*w + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 - -135. Let z be -1 - (c\/(-4) + 0). Solve 29 = -3*h - 5*g, -2*h - z*h + 3*g = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9126 and -16675.\nAnswer: -152176050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 3:12 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5*i - 18*i + 6*i.\nAnswer: -17*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9 + 3 + 103*w**2 - 6*w - 96*w**2. Let s(j) = 105*j**2 - 91*j - 91. Calculate -91*c(q) + 6*s(q).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6766359.096 - -0.25.\nAnswer: -6766358.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**4 + g**3 = 0?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/5 + 16*j**4\/5 - 6881*j**3\/5 - 90404*j**2\/5 - 348332*j\/5 - 78064 = 0. What is j?\nAnswer: -85, -7, -4, -2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 7*j + j - 1077. Which is smaller: 7 or j?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + l - 107 = 0, -5*x + 2*l + 1148528 - 1148427 = 0 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p*x**4 - 66*p*x**2 + 3*p + 27*x**4 wrt x.\nAnswer: -72*p*x + 648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y + 425. Let n = y + 46. Let h = -25 - n. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 247, -0.4, 0, -1\/7, 2\/5, 6\/7 in descending order.\nAnswer: 247, 6\/7, 2\/5, 0, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5, 1, -18, 4, 7, 0 in descending order.\nAnswer: 7, 5, 4, 1, 0, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*x + 17, 3*y - 5 - 13 = 2*x. Let j be 3\/(-2) - (-14)\/y. Suppose 5*h + 33 = -j*g + 3*g, 2*h = -4*g + 154. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32159 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/596)\/(7\/(-1575)*-9). Which is bigger: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10609 + -10608.7. Which is the second smallest value? (a) 32\/37 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 15*a + 6. Let u(x) = -8*x - 3. Let v(h) = -2*n(h) - 5*u(h). List the prime factors of v(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 10850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c (base 16) to base 7.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3738)\/(-16821))\/((-4)\/3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, m: 4}. What is prob of sequence mhmh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**7\/77 + 2*t**6\/11 + 87*t**5\/110 - 27*t**4\/11 - 72*t**3\/11 + 1394*t + 1. Suppose m(z) = 0. What is z?\nAnswer: -3, -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 - -4)*208\/(-14). What is the highest common factor of s and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12220 and 88.\nAnswer: 268840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -148*a. Let v(f) = 3057*f**2. Give v(l(u)).\nAnswer: 66960528*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 2*v**3 + 2*v**3)*(-25*v + 0*v + 5*v) + 0*v**3 - 26*v**4 - 4*v**3 + 27*v**4.\nAnswer: -59*v**4 - 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -42. Is 17 a factor of ((-6)\/3 + -15)*t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*104\/(-8) + -3. Let h be 175\/w - 3 - (-3)\/6. Sort 1, h, 2 in descending order.\nAnswer: h, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g + 317. Is i(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2039197, 2039073, 2038949?\nAnswer: 2038825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2494833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 93451693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyv when four letters picked without replacement from {v: 3, y: 3, l: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x. Let z be i(-1). Suppose p - 4*w = 8, -3*p - w + z = -0. Let f = -52 - -55. What is the second smallest value in p, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 3 (c) -3.2 (d) 1\/6 (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*u - 29, a - 5*u = -u + 13. What is the remainder when 81 is divided by (-70)\/15*(-9 - a)*1?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3274 + 1470 - 1206 = 122*l for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 478998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1 - 2 - 6*d - 1.\nAnswer: -6*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -246 + 244. What is the nearest to 0 in -0.02, 0.3, n?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -3, 902, 37, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2603 - -2491. Let q be ((-45)\/20)\/(21\/p). Let k be (-716)\/(-6) + 4\/6. What is the greatest common divisor of q and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/4)\/((-2)\/(-4)). Let o = 5.05 + -0.05. Let i = o + 0. What is the second smallest value in i, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -91, -3, -2 in decreasing order.\nAnswer: 5, 2, -2, -3, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 - 4*b**2 + 5*b**2)*(-48 - 16 - 7)*(-42 + 10 - 1) as w*b**2 + h + z*b and give w.\nAnswer: 4686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3257 times -2\nAnswer: 0.6514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176904 and 165?\nAnswer: 9729720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*l + 38 = -222*l. Solve 3*c + 15 = z, -l - 1 = 3*z + 3*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*k**2 - 31*k**2 - 30*k**3)*(-43 + 21 + 23) - k**3 - 1 + 1.\nAnswer: -31*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 457693566461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 1584\/43, -1, 5 in increasing order.\nAnswer: -7, -2, -1, 5, 1584\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 19) + -36 + 36\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 144 + 5?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 0 (c) 4\/11 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsptpzvr. Give prob of sequence spz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = 3*b, 4*b + 0*b = -v + 20. Let p(c) = 2*c**2 - 6*c. Give p(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 19 + (21 - 13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57.9 in 3, -3, 0.3, -0.1, -4, 75.32?\nAnswer: 75.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1425232, -5700971, -12827196, -22803901, -35631080, -51308727, -69836836, -91215401?\n\"Answer: w**3 - 1425249*w**2 + w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**2 + 3*o**2 + 6*o**2 + (-9*o + 7*o + 18*o)*(2 + 1410*o + 1410*o - 2825*o).\nAnswer: -76*o**2 + 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 10 + -18 + (22 - 36) - 46.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 171 - 39 - 725512*i + 2598860*i. Let d be o(-9). What is d rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10233 and 1152539?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, o: 2}. Give prob of picking 3 x.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**5\/10 + i**4\/8 - i**3\/6 - i**2\/4 + 17. Find l, given that n(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j + 14 = 40*j. Suppose 2*k - 4 = g, -3*k + 0*g + 12 = -3*g. Suppose k = j*v - 7*v + 165. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/295*(44 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-49211\nAnswer: 24605.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2. Suppose -m = -17 + 9. Let u(g) = -m*g + g - g. Calculate u(f(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*k + 216903 - 216903)*(-2 - 4 + 4)*(11 - 3 + 2).\nAnswer: -1440*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (32 - (850\/34 + 43)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 60. What is the first derivative of 2*f**2 - 3*f**3 - w + f**3 + 14 - 13 wrt f?\nAnswer: -6*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -5)\/3*-12. Let q be (-6*(-3)\/d)\/(3\/(-10)). Suppose -q*m + s = -120, 0*s = -4*s. Do 24 and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60593643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10.808*-0.4\nAnswer: -4.3232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -947 times -9155\nAnswer: 8669785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 - -0.118.\nAnswer: 1.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60973.\nAnswer: 11, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 195255 or 195463?\nAnswer: 195463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 403 (base 7) to base 10\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/8 of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91449\/19 - 4813. Factor h*x**5 + 4\/19*x**4 - 14\/19*x - 4\/19 - 16\/19*x**2 - 4\/19*x**3.\nAnswer: 2*(x - 2)*(x + 1)**4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 9*q**2 - 9*q + 10. Let y be v(8). Suppose -y*x + 473 = -x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 divided by 488754?\nAnswer: 71\/162918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 103?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -458, 4, 2, -5 in decreasing order.\nAnswer: 4, 2, -4, -5, -458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -5, -2, 1, 3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 2*r**2 - r**2)*(-4 - r + 4).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -28.9 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.2 - -8.2. Let w = 373\/15 - 25. What is the nearest to -9 in p, w, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -10, 4*b = -4*v - b + 223. Let z = v + -50. Solve z = -5*t - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35367.\nAnswer: 3, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (6 + -3 - 3). Suppose -2*q = 3*v - 5 + 3, g*q - 5*v - 41 = 0. Suppose -5*w + 53 = -q. What is the least common multiple of 22 and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*z - 129*z = -8. Let g be (5 + (-315)\/10)\/(2\/z). Is 19 a factor of 5*(g\/5 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/140)\/(53\/371)*(-92)\/(-943)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5036a7 (base 12) in base 7?\nAnswer: 13425202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p - 2. Let w = -6 - -7. Let r(v) = v. What is w*z(j) - 6*r(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(b + b - b) + 2*b + 5 - 5 - 124*b + 99*b + 71 + 21*b.\nAnswer: -3*b + 71","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346592 at most 1346591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**5 + 206*a**4 + 1582*a**3 - 4366*a**2 - 28220*a + 30800 = 0?\nAnswer: -7, -5, 1, 4, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 27 = -4*z, 0 = -3*i - 0*z + 3*z. Suppose -i*c + 4*h = -c + 26, -3*h = c + 8. Let n(x) = 8*x - 2. Let m(k) = 3*k - 1. Calculate c*m(d) + 4*n(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*r = -2*r - 40, 3*r + 72 = 3*n. Suppose 4*j + 8 = n. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85911.\nAnswer: 3, 7, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + e22f0?\nAnswer: e22f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(3\/2))\/b)\/b*b*b**(1\/17)*(b**(-42))**(-3\/8) assuming b is positive.\nAnswer: b**(973\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -256567932 divided by 54\nAnswer: -4751258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1532\/210 + -8 - (55\/(-35) + 1).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8304767?\nAnswer: 19, 437093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -289 minus -45?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 - -0.23. Which is the biggest value? (a) -3\/2 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 n, and 1 v when four letters picked without replacement from {b: 7, v: 2, n: 2}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*2\/6*1. Let r be (-60)\/(-27) - 2*z. Let d = -3.9391 - -4.9391. Which is the nearest to -2\/7? (a) d (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 123*h**3 + 3*h**2 + 3*h - 3. Let v(i) = -2705*i**3 - 65*i**2 - 65*i + 65. Give -130*u(w) - 6*v(w).\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**2 + 311595*p - 311590 = 0.\nAnswer: 1, 62318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 116718509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -981.92 - -981.9. Sort 4, -0.3, w, 4\/9, -5.\nAnswer: -5, -0.3, w, 4\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -3, -3\/7, 13, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, 0, 1?\n\"Answer: u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.96?\nAnswer: 2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11 and -2138.54354849?\nAnswer: 2149.54354849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -43*f**5\/5 + 103*f + 431. What is the first derivative of d(b) wrt b?\nAnswer: -172*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 16) in base 7?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234211.\nAnswer: 234211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -585 (base 13) to base 16.\nAnswer: -3ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1722 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*t = -2*d + 10, 2*d = t - 6. Let u(s) = -s**2 - s. Calculate u(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 893*q - 8931062 + 8948922 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6403?\nAnswer: 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 4582?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 10, -4*j + 1028 = -4*f - 0*f. Calculate the common denominator of -70\/3 and (-4 - -1) + 175\/j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 755784 by 4.\nAnswer: 188946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a decade?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 199306641 a multiple of 411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27413175 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15888)\/(-40) + 1\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 87*p + 273. Let g(t) = 10*t + 1. Determine -9*g(q) + n(q).\nAnswer: -3*q + 264","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/5 - 44*h**2\/5 - 92*h\/5 + 28.\nAnswer: -4*(h - 1)*(h + 5)*(h + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 29*p**2 + 15*p - 8. Let g(v) = 2*v**3 - 60*v**2 + 32*v - 17. Give 6*g(s) - 13*u(s).\nAnswer: -s**3 + 17*s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ffffififffffffiiff.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3417260012 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-13 + 14 - 8)*(0*q + 4*q - 5*q) + 153 - 10*q - 153)*(7*q - 4*q - q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 + 127.00000162. What is z rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/1 + (36\/(-4))\/(-1). What is the greatest common divisor of s and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + (4*(sqrt(153) - (sqrt(153) - (sqrt(153) + sqrt(153) + -3)) - sqrt(153)) + sqrt(153))**2.\nAnswer: -357*sqrt(17) + 3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2. Let w(c) = -c**3 - 7*c**2 + 8. Let n be w(-7). Suppose -n*v = -3*v - 10. Let s(l) = -4*l + v*l + 0*l + 5*l. What is s(y(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 7*t**2 + 2*t + 8. Let z(k) = 6*k. Let y be z(-4). Let p be y\/20*10\/(-3). Suppose -3*v - 2*n = 21, -p*v + 0*v - 5*n - 28 = 0. Give l(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u - 7*u + 11 + 0*u. Let b be 2\/5 - (-66)\/10. What are the prime factors of t(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1429, 3053, 4895, 6955, 9233?\nAnswer: 11729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2. Let c(v) be the third derivative of -3*v**2 + 2*v**3 - 4*v - 1\/8*v**4 + 0. Give c(n(q)).\nAnswer: -12*q**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2\/2 - 27*o\/2 + 12 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**2. Let i(m) be the third derivative of 1\/12*m**4 + 0 + 0*m + 0*m**3 - 3*m**2. Determine i(c(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 k when four letters picked without replacement from {b: 9, k: 3, d: 6, s: 1}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33358654 and 4.\nAnswer: 66717308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 4*m**2 - 20*m - 12.\nAnswer: 4*(m - 3)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -8, 0, 1538578 in descending order.\nAnswer: 1538578, 0, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**4\/4 + q**3\/3 + q - 774. Let p(g) = 24*g**3 + 3*g**2 + 3. Determine 3*f(r) - p(r).\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.1 - -0.1. Let k be -4 - (0 + (-750)\/189). Let g = k - 59\/126. Put b, g, 5 in increasing order.\nAnswer: b, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/5 (b) 1721 (c) 95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*b*g + 4*a*b + a*g**2 + a*g + 13*b*g**2 + 8*b*g + 3*g**2 - 96*g wrt b?\nAnswer: 2*a*g + 4*a + 13*g**2 + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102*b**2 - 487*b + 268459 with respect to b.\nAnswer: -204*b - 487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 142?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hihthithihhhiih. What is prob of picking 1 i and 2 h?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2\/21, -338?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4\/15 + 86*a**3\/15 + 158*a**2\/5 + 102*a\/5 - 288\/5 = 0.\nAnswer: -3, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o. Let p(c) = -c**2 + 11*c - 1. Let n(j) = -9*l(j) + 2*p(j). Factor n(k).\nAnswer: -(k + 2)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199079 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.49 * 0.272.\nAnswer: 0.13328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-19)\/((-228)\/8))\/((-4)\/3). Let v = 1\/4 - w. What is the smallest value in v, -1\/6, 0.6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -265, -600, -1069, -1672, -2409?\nAnswer: -3280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 45*u + 43*u + 20, -4*u = -20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 5, 5*i + 19 = -2*v + 30 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 107270, 214540, 321810, 429080, 536350, 643620?\n\"Answer: 107270*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/2, -84, 4\/11, -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 11:17 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 7 = -3*o, 4*o + 9 = w - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 19*m - 14*m. Solve -2*k + m = -0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 16*a**2 - 4*a + 61. Let k(v) = -17*v**3 - 17*v**2 - 30*v - 14. Let p be k(-1). Determine d(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/7))\/((h\/(h\/h**14))\/h))**20 assuming h is positive.\nAnswer: h**(-1720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0683 + 2.0317. Which is the closest to h? (a) 5 (b) -2\/7 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 12:50 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 4*k. Let t be r(3). Let p be 2\/(-4) + t\/(-6). Suppose -3*h + p = -30. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/16 - (-4785)\/(-3480)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291662773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63853817?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from xxixixxiixix.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1578 and 652503.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5644 and 9962?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1433*x + 8. Let d(m) = -5111514*m + 28540. Determine 7135*b(l) - 2*d(l).\nAnswer: -1427*l","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4819435 divided by 4819435.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 7*z**2 - 7*z + 9. Determine x(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -406, 0 in ascending order.\nAnswer: -406, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -7\/2*p**2 - 10*p + 1\/3*p**3 + 6. What is the lowest common multiple of 22 and o(10)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-3)*-1)\/(4664\/106)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158 - -362. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(2 - 3 + 4)*(-54*o - 10*o + 0*o).\nAnswer: -192*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38899519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b (base 15) to base 14\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4581667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 397349 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, j: 6, z: 6, o: 3}. Give prob of picking 2 z and 1 o.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2)*2 + -2*sqrt(6)\/sqrt(3) - (3*(sqrt(162) + -1))**2.\nAnswer: -1467 + 162*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 5*n = 45, 477*n - 475*n = -2*g + 14 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -52, 2\/3, 0.1 in increasing order.\nAnswer: -52, 0.1, 1\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 + -175. Let b = j - -53. What is the tens digit of (3 + b)*32\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - s + 454 = -2*s, 3*j - 338 = 2*s. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 2 + 6 + 0. Let b be i(-5). Suppose -5*d = 3*g - 4391, 4*g = -b*d + g + 2637. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 9*t + 12*t - 5*t + 211*t**2.\nAnswer: t**3 + 211*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 135*q + 2852. Let a be u(-123). What is the greatest common divisor of 559 and a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - 10 - -285 - -6. Let g = 449 - q. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6753 + 198*d**2 + 6753 - 196*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9}. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -622, 0, -4, -1 in descending order.\nAnswer: 0, -1, -3, -4, -5, -622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 2*n - 3. Let l be u(5). Let p = 27 + l. Let t be 2*p\/6 - 7700003. Round t to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 2*p + 76 - p**3 - 29 + 4*p as d*p + h + v*p**2 + x*p**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*k**5 - 704\/15*k**3 + 0 + 56\/3*k**4 + 0*k**2 + 0*k = 0. Calculate k.\nAnswer: 0, 8\/3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086100664 a multiple of 3404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2316 and 8292?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + k - 0 + 4, -4*o = k - 26. Suppose -2 = 3*d + 3*m - 8, 3*d - m - 10 = 0. What is the greatest common divisor of o and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1151512 is divided by 1874?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 276121 greater than 276125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j + 3. Let g(m) = 1. Let c(o) = 7*o - 8. Let y(v) = c(v) + 5*g(v). What is -6*x(b) - 7*y(b)?\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -3, 2, 162, -5, -1 in decreasing order.\nAnswer: 162, 2, 1, -1, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 - 0)\/(-2))\/2. Let p be (-1)\/(2\/(-34)) - 1. List the prime factors of 3\/(6\/p) - g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 6:55 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 675 and 4025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 33. Sort -4, 4, -1, m in increasing order.\nAnswer: m, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.18 (b) 1\/45 (c) 1\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = 6*k - 15*k. Let o be 150\/14 + 8\/k. Solve w - o = -4*g, -4*w - 3*g + 6 = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 181 + -179. Let q = -2 + 5. Let h = q - m. Solve 0 + h = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or 137\/46?\nAnswer: 137\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*u - 16*u**2 - 603*u**3 - 623*u**3 + 1225*u**3)*(0*u - 2*u + 0*u).\nAnswer: 2*u**4 + 32*u**3 + 142*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 2*q + 3. Let n(y) = y**2 + 3*y - 4. Let t(r) = -3*b(r) - 2*n(r). Let m(d) = -4*d**2 - 2*d + 1. Let g(k) = -m(k) - 5*t(k). What is g(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100110 - -101111?\nAnswer: 1110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 470 + -612. What is the biggest value in 1\/4, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672880 and 1105.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-950022)\/844464)\/(-1*3\/(-208))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192699 = -465581*z + 463934*z for z.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/8)*c**(-19)*c assuming c is positive.\nAnswer: c**(-143\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 1 = 2*n - 172*z + 173*z, -8 = 3*n - z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.5, 0 in descending order.\nAnswer: 2, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 106*p - 1235. What is o(-90)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 860, 0, 4.\nAnswer: 0, 4, 860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 5, o: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8162 and 1522796.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 4. Let c be 1\/y*0 - -5. Is 96 + (c - 2)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383617691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y - 3*y**2 + 2*y**2 + 5*y + 17 - 4*y - 11. Let j = -8 + 3. Determine g(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07537 and 3.0221.\nAnswer: 0.227775677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -75*q**3 + 13*q**2 - 63*q + 73. Is y(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.082941 + 0.272941. Let q = 6 + 5. Let j = q - 16. What is the biggest value in u, j, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*5*3563883\/(-552540).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39.787 + -39.7960736. What is y rounded to 4 dps?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62863\/45915 + -15\/6122. Let r = 8514107\/3447510 + 3\/52235. What is the common denominator of p and r?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 10*y**2 + 3*y + 10. What is the tens digit of t(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -1\/4, 0, 0.3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 7 = 3*k, 12428 = -8*n + 3*n + 5*k + 12413 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -16. Let s = -574 + 600. Let v = u + s. What is the remainder when v is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28247909.\nAnswer: 37, 763457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, -32, -27, -20, -11, 0?\n\"Answer: z**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 434.1266 years?\nAnswer: 0.4341266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-4\/15))\/i)**(-1\/12)*i\/(i*(i**(-2\/45)\/i*i)\/i*i)*i*i**37)**13 assuming i is positive.\nAnswer: i**(22243\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i + 18. Let n(k) = -30*k**2 - 9 + 1 - 8*k + k + 32*k**2. Is 14 a factor of n(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 3, q: 1, w: 4, t: 7}. What is prob of sequence qat?\nAnswer: 1\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/23 or 3334?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2818057599.\nAnswer: 3, 7, 19, 181, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + c8?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 17*k - 3. Let z be c(17). What is the nearest to -4 in z, 1, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n - 3*n. Suppose -3*s - 3*u = 6, n = 2*s - 5*u + 24 - 6. Let q be 1 - 3 - (s - 1). Solve -2*w + 1 = q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = 2*p - 13*p. Let a = p - 17. Solve -a*i + 6 = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138013 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 6 - 1 + 0 + 0*g. Let d be a(-5). Let j = 0 + d. Solve 3*r = 2*r - j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002825541 to six dps.\nAnswer: 0.002826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**5\/7 - 1622*q**4\/7 + 295230*q**3\/7 + 13850750*q**2\/7 + 7225000*q = 0.\nAnswer: -35, -4, 0, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50246 is divided by 9446.\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -6, -206, 22, -3, -5 in descending order.\nAnswer: 22, 8, 1, -3, -5, -6, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o*t**2 - 199*o*t - o + t**2 + 128 wrt o?\nAnswer: t**2 - 199*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12*s + 8. Let j(g) = g + 1. Suppose -3*p - 2*p = -3*y - 52, 0 = -4*y - 16. Let b(m) = p*j(m) - d(m). Let k(f) = -f**2. Calculate k(b(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*t - 201*t + 113*t.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -720 + 555. Let h = -5 + -10. Let p be ((-36)\/i)\/(6\/h). What is the smallest value in p, 0.3, -2, -3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 671491 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*z, z + 41 = c - 0*z. Suppose -2*w = -4*q - c - 0, -w - 5 = q. Let g = -1 - q. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-16 - (-1 - -2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlmllmmflfmhlmf. Give prob of picking 1 f and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41939630*n**3 + n**2 - 20490916*n wrt n.\nAnswer: -251637780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 - -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/6 + 993*m - 5959\/6 = 0. What is m?\nAnswer: -5959, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmymqyyqommyymymmoy. Give prob of sequence mom.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 + (-178 - (-15)\/(-5))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = p - 4 - 6, -5*g = 2*p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-61)\/(-6) - (-90)\/((-99)\/11). Let k(i) be the third derivative of 0 + 18*i**2 + 0*i + 1\/60*i**5 + a*i**4 - 7\/6*i**3. What is k(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130365 (base 7) to base 4.\nAnswer: 11322030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/55))\/((w*w*w\/(w*w**(5\/13)*w)*w*w*w)\/w*w) assuming w is positive.\nAnswer: w**(-1896\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 367600067 and 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = a + 5*a. What is the greatest common factor of a and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 - 36*c - 91. Calculate m(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4831707 to the nearest 10000.\nAnswer: 4830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144*s + 85*s - 66*s to z + u*s and give u.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37327d - -5?\nAnswer: 373282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:52 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u - 2*z - 6, 4*u + 4*z = 28. Let c(x) = u*x + 1 - 1 + 5*x. Let g(s) = 3*s - 4. Let o(j) = j - 1. Let t(p) = -g(p) + 4*o(p). What is t(c(d))?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1, -1, 15, 0.2, 783?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*k**2 - 4\/21*k + 0.\nAnswer: 2*k*(3*k - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1196*w = 1195*w - m + 420, 2*w + 3*m - 841 = 0. Calculate the greatest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.7 - 25. Let f = 0.3 - 0. Which is the third biggest value? (a) 6\/5 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -178, -184, -190, -196?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28490 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -716 + 720. Which is the closest to 0.19? (a) t (b) -1\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.31 - -0.349. Let s = x + -4.039. Are -0.12 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -38*j**4 - 5*j**3 + 10*j**2 - 52. Let v(a) = -38*a**4 - 6*a**3 + 12*a**2 - 52. Let z(x) = -6*s(x) + 5*v(x). What is the derivative of z(t) wrt t?\nAnswer: 152*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/21, -4\/3, 2497 in descending order.\nAnswer: 2497, -1\/21, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29065, 116497, 262263, 466345, 728725, 1049385, 1428307?\nAnswer: 1865473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 369273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.1, 27.2?\nAnswer: 27.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by ((-198)\/9 + 16)\/((-4)\/58).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**3 - 5*a**2 - a - 2. Let z be m(2). Solve -x + f + 2 = -3*x, 4*x - 3*f = z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*x = 118*x + 812 - 3647 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 0. Let j = u - 4.8. Let i = 2271\/2 - 1135. What is the second smallest value in i, 2, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {o: 5, c: 9}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - 0.5. Let d = 0.5 + -1. Let i = -5.7 - -6.2. What is the second biggest value in i, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308666397 a multiple of 2932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 51 = -5*a. Suppose -h - 12*g + 69 = -8*g, 211 = 4*h + 3*g. Let j = h - a. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 26*z - 21*z - 16*z - 20 - 23 - 5*z**2. Let d(o) = 3*o**2 + 5*o + 21. Let j(k) = 7*d(k) + 4*i(k). List the prime factors of j(14).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 4*d**3 - d**3 - 6*d**2.\nAnswer: -d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 107039785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0212 * 8\nAnswer: 0.1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24461 divided by 22\nAnswer: 24461\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 140*c**2 - 783*c + 2758. Calculate f(-134).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 12. What is x(8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 7. Let q(h) = 3*h**3 - 9*h**3 - 8 + 6*h**2 + 10*h**2 + 4*h - 24*h**2 - 2*h. Let b(s) = 2*s**3 + 3*s**2 - s + 3. Determine v*q(o) - 8*b(o).\nAnswer: 2*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q, -v + 3*q = -2*q - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2. Let g(v) = 302*v**2. Determine u(g(y)).\nAnswer: -91204*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f**(-1)\/f)))**(-23)*f**(5\/3)*(f**(1\/3)\/f)\/f)**(13\/4))**(-11\/4) assuming f is positive.\nAnswer: f**(-3289\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + 2*w - 2 + 2)*(3*w + 5*w + w).\nAnswer: -27*w**4 + 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5216520.421 minus -0.5?\nAnswer: 5216520.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -14. Suppose -2*m = -0*m - k. Let o(w) = 2*w - 7. Let j be o(m). Which is the closest to 0.1? (a) 4 (b) j (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 27*u = 74390. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 - -46704.112227.\nAnswer: 46704.282227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 4:35 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 282997? (a) 0.3 (b) -6\/13 (c) -5 (d) 2\/83 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3885 is divided by (1 - (-295)\/(-25))*(-50)\/30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 3290*v + 13144.\nAnswer: (v + 4)*(v + 3286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -18.999804. What is c rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5 - y - 1 + 3. Let b be q(5). Let p be (-6)\/(-9)*-3 - b. Which is smaller: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101110222 - 1122?\nAnswer: -101112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 6*o**2 - 4*o + 16. Let m be z(3). Let r be (-18)\/m*(78\/18 - 5). Solve 3*w = 4*q - 8 + 4, -q - 14 = r*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198\/308)\/((-20)\/(-1960))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a**2 - 9*a**2 + 4*a**2)*(-44 + 168 + 260).\nAnswer: -5376*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmtmuut. Give prob of sequence uu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102919222 divided by 5.\nAnswer: 102919222\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1209808, -2419611, -3629414, -4839217, -6049020, -7258823?\n\"Answer: -1209803*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*p - 289*p + 1837*p**2.\nAnswer: 1837*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9)\/(i*i\/(i\/i**(-5)))*(i*i\/(i\/(i\/i**1))*i)**(2\/17))\/(((i*(i*i**(-1\/2))\/i)\/(i\/i**(2\/7)))\/(i**6\/((i\/(i**5*i))\/i))) assuming i is positive.\nAnswer: i**(1773\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 360\/621 + 12\/138. Which is the nearest to -1\/4? (a) -2\/3 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 994 + 372 = 4*t, 0 = -3*c - 3*t + 822. Is 36 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/16*88\/66?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 6*q**2 + 10*q - 17. Let r be t(7). Suppose z - 138 = -4*g, 2*z - r*g - 198 = 114. Calculate the highest common divisor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 6169?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at least 26.54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (7 - (-3 - (-5 - 2)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 5*v**2 + 2. Let c be s(5). Suppose -b = 3*b + 4*t - 8, -c*t = -4*b + 8. Solve 0 = -b*w - 4, u - 3*u + 5*w + 2 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 0, -38775, 2 in decreasing order.\nAnswer: 2, 0, -55, -38775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 - -76. Let z be (-4 + x\/(-6))\/((-1)\/(-12)). Suppose z*g = 715 + 119. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 171343 - 171343.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 7*a - 8. Let i(t) = -t + 3. Let q be i(6). Let b(l) = -l**2 - 8*l + 9. Let o(x) = q*b(x) - 4*y(x). What are the prime factors of o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (-520)\/25)\/((-4)\/(-5))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**3 + 4*i**2 - 25*i**3 + 15*i**3 - 4*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159140 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 464343.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, u: 7, e: 1, f: 1}. Give prob of sequence me.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*c + 1029 = -720, -3*v = 2*c - 1333. Suppose 5*g = -j + 236, -4*g + 551 = 4*j - v. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2854 - -0.2854. Which is the closest to 0.1? (a) -0.09 (b) 3 (c) -3\/5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3822 >= -3832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icja when four letters picked without replacement from {j: 1, a: 2, i: 5, c: 1}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -2\/9 (c) 920\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3987*c**3*p**3*z + 5357*c**3*p**2*z + c**3*p**2 - c**2*p**2 - 3*c**2*z**3 + 10*c*p**3*z**3 - 3 wrt p.\nAnswer: -23922*c**3*z + 60*c*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123423 is divided by 203.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(10\/11)*z**4 assuming z is positive.\nAnswer: z**(45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*p**3 - 152*p**3 - 44*p**3 + 24*p**3 - 114*p**3.\nAnswer: -327*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (21 + (-3 - -21)) - 15.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -723\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 30*t. Let c(o) = o**3 + 12*o. Determine -5*b(j) - 12*c(j).\nAnswer: -2*j**3 + 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 - x**5 + 0*x**3)*(-46 + 13 + 5)*(-1 - 1 + 7).\nAnswer: 140*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a factor of 144084081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**12\/f*f)\/f)**(-2\/103) assuming f is positive.\nAnswer: f**(-22\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14080807*r**2 + 6968978*r wrt r.\nAnswer: 28161614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 2569019?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2*u + 2 = 0, 3*v = -3*u - 87 + 84 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 - 12 + 39 + (0 - 1 + 0)*(-7 - 14 + 38))*(-2*q + 2*q - 2*q**4).\nAnswer: 148*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 20 + 22 = 0. Suppose -29876 = -3*w - 4*w. Let g be 2\/7 - w\/(-154). Calculate the greatest common factor of b and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-25)\/10 + -1)*-106 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 756.04 - 749. Let z = 14.04 - q. What is the second smallest value in 1, 0.5, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 + 141. Solve -s*v + 6 = -4*h, -v + 3 = -3*h - 2*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 - ((0 - -2) + -14 - (29 - 26 - 27))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 35 = -t. What is the lowest common multiple of ((-60)\/(-14))\/5*t and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 23.422936.\nAnswer: 46.845872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 29.\nAnswer: -4, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0 = 2*v - 8, -l = 5*v - 20. Suppose -28 = -v*g + 3*g - 3*p, -4*g = 5*p - 77. What is the remainder when 33 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 552 and 6466584?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*r - 7098 = -508*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(((s**(-8)*s)\/s)\/s)*s))\/s*s)\/s)\/(s*s**(-1\/2))*(s\/s**0*s)**47*(s**(-5)*(s*(s**(-6)*s)\/s)\/s)**(2\/23) assuming s is positive.\nAnswer: s**(3751\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 4, h: 2}. What is prob of picking 2 n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-6))\/o)\/((o\/((o*o**(-2\/7)*o)\/o))\/o)*((o\/o**(2\/17)*o)\/o*o)\/(o**4\/o) assuming o is positive.\nAnswer: o**(-762\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*x + 13 - 13)*(-7 - 69 + 22) to the form v*x + r and give v.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -15*c + 17*c - 1 - c. Let f = 15 + -9. Let l be t(f). Let r(g) = g - 7. Give r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2*a + 4 = 0, 671*a + 11 = 3*d + 676*a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.32 + 10.320000103. What is h rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f. Let w(y) be the second derivative of -y**4\/6 + 23*y**3\/3 + 1158*y. Give d(w(v)).\nAnswer: -12*v**2 + 276*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - ((4 - 8) + 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 125\/(-60) + (-128)\/(-96)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151083 by -1416.\nAnswer: -50361\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -178 - -78. Let c = 701\/7 + p. Is -1 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452398011 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7350075 + -9112773.\nAnswer: -16462848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16696*t**3 - 4 + 4 + 16683*t**3.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3351 and 11?\nAnswer: 36861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108835968 by -6.\nAnswer: 18139328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 20\/3*f + 25\/6*f**2 - 11 + 5\/9*f**3. Factor u(m).\nAnswer: 5*(m + 1)*(m + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.108 - 0.024. Round w to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10117696.27978 + -0.8\nAnswer: -10117697.07978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) 0.3 (c) 4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55472 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*r + 11*r + 3*r + 9 + 2*r**4 + r**2 in the form w*r + p*r**4 + l*r**3 + a + i*r**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*n**2 - 95*n**2 - 103*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -259012\nAnswer: 2\/64753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35, -43, -71, -125, -211, -335?\n\"Answer: -p**3 - 4*p**2 + 11*p - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 4 (b) 5\/9 (c) 997.3 (d) -5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2. Let f(c) = -123*c + 66*c + 415*c. Give f(w(n)).\nAnswer: 716*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236496041 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 - 3*s + 2. Let b be f(1). Find the third derivative of 26*d**3 - b*d**2 - 38*d**3 + 16*d**3 wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**6\/18 - 4*k**5\/15 - k**4\/6 + 8*k**3\/9 + k**2\/6 - 4*k\/3 + 1687. Find c such that b(c) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.8 and 12895899.72381.\nAnswer: 12895897.92381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**2 + 23*u - 7. Is p(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**5 + 0*f**3 + 54*f**2 - 14*f**5 + 11*f**5 - 8*f**3 wrt f.\nAnswer: 60*f**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/((-216)\/576).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 365, 551, 739, 929, 1121, 1315?\nAnswer: 1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from tqtqqttkttqktqkk.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5882.126 meters in nanometers?\nAnswer: 5882126000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 194374207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2767, 2693, 2597, 2479, 2339, 2177, 1993?\nAnswer: 1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/130 and 173\/6552.\nAnswer: 32760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**2 + 1896080*a = 0.\nAnswer: -474020, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.33647.\nAnswer: -0.100941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 65 - (8 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmk when three letters picked without replacement from kkkkklkkklkmkm?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 - 14*o**2 + 4. Let v be l(-7). Solve 2*z = -5*m + 6, -4*z + 3*m - v = 5*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 334733*d**3 - 107579 wrt d?\nAnswer: 1004199*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -100.7 and 25?\nAnswer: 125.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64201, -128575, -193127, -257857, -322765, -387851, -453115?\nAnswer: -518557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 277 + -236. Let y = t + -36. Solve -y - 3 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvfvvvvvvvvvvvfvvv.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1133436\/(-54) - (-2)\/(-4). Let h = c - -20996. Find the common denominator of -93\/14 and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p - 8*p - p**3 - 7*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 7402673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 11 = -5*f, -3*o - 2*f - 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*t + 3*d, 0 = -5*t - d + 7 + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7*-14*(6\/(-144) - (-2464)\/(-5376))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6) + 1)\/((-7)\/(-63)). Find the second derivative of -16*d**2 - 16*d + 5*d**4 + 13*d**3 - z*d**4 + 16*d**2 wrt d.\nAnswer: 24*d**2 + 78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b (base 16) to base 9.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 19. Suppose 2*g = 3*s + 57, -2*g = 3*s + s + 62. What are the prime factors of x(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.19 - 2.81. Let a = -2 - -2.5. What is the biggest value in j, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 5*d - 59 = 0, 4*p + 19 = 30*d - 33*d - 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*g + 26, -5*w + 10*g - 6*g + 14 = 0. Let k(d) = 10*d. Let f be k(2). Solve l = w*l + f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + sqrt(500) + ((sqrt(405) - (sqrt(405) + -1)) + sqrt(405))**2 + -1.\nAnswer: 28*sqrt(5) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-10) + (-715)\/(-25) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*28\/(-96)*(-10)\/10.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*z - 373 = 4*g, -4*z + 577 = -3*g. Let s = -126 - g. Let r = -51 + s. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 47 = -13*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247872434102 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7707 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 129? (a) 2\/15 (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -85, -147, -225, -325?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11388 - -11637. Calculate the remainder when s is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 290432, 290434, 290436?\n\"Answer: 2*p + 290430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/1559 and -93\/53006.\nAnswer: 53006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28975 divided by 14.\nAnswer: 28975\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 20 (c) -2\/11 (d) -1.15 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 668*a + 31407. What is v(-47)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*a**3 - 591*a**2 - 5052*a + 684.\nAnswer: 3*(a - 19)*(a + 6)*(15*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 0.02, -14\/17, -0.1 in decreasing order.\nAnswer: 5\/2, 0.02, -0.1, -14\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315957769?\nAnswer: 7, 1907, 14083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2 + (8 - -4)*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-6) - (-7 + 190\/30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 p when three letters picked without replacement from {p: 9, e: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 7. Let b(h) = -h**3 - 5*h**2 - 4. Let t be b(v). Is 420 - (-4)\/(0 + t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q - 32 = -56 + 51 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-232)\/(-261)*3\/(-52)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4518790, 9037689, 13556688, 18075781, 22594962, 27114225, 31633564?\nAnswer: 36152973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -1\/15*c**6 + 0 + 0*c**5 + 1\/42*c**7 + 0*c**2 + 1\/6*c**4 + 6*c - 1\/6*c**3. Factor p(b).\nAnswer: b*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krkkxrkxxxkk. What is prob of picking 1 r and 3 k?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 4*q + 20, q - 90 = -t. List the prime factors of t.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -164, -524, -1216, -2348, -4028, -6364?\nAnswer: -9464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + b + b)*(-4*b + b + 0*b)*(-3*b**3 + 0*b**3 + b**3) + (5*b**3 - 5*b**3 - b**3)*(-b + b**2 + b).\nAnswer: -13*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 606261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 2:01 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/22)\/(((-234)\/24)\/13).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2)*-2)\/(2660\/266)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmcn when four letters picked without replacement from ckkkkkkcmmncnhmm.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (sqrt(133) - ((sqrt(133) - 2*2*sqrt(133)) + sqrt(133) + sqrt(133))) + sqrt(133) + sqrt(133) - 2*sqrt(133)*-1)\/((3*sqrt(1512))\/sqrt(6)).\nAnswer: 7*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 9. Let s be v(7). Let d(c) = 3*c - 5. Let n(u) = -4*u + 7. Suppose 8*g - 3*g + 105 = 0. Let w = -28 - g. What is s*n(q) + w*d(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1280094 = -3*v - y, 0 = 5*y + 62 - 92. What is v rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46*8\/112 - (-6)\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1010001?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 915612445 to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-2\/7)*a)\/a)\/a)**(-6)*a**(-8)*(a\/a**(-7))\/a*(a*(a\/(((a**(-1\/2)\/a*a)\/a*a)\/a*a*a))\/a)**29*((a**(2\/7)*a*a)\/a)**(26\/5) assuming a is positive.\nAnswer: a**(1293\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let i be 3*((-21)\/(-9) + -1). Suppose -3*u - 12 = 0, 5*u + 10 + 13 = -c. Put i, c, z in descending order.\nAnswer: i, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 190960 = -12*j. Suppose 0 = -15*l + j + 17015. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + (-4 - 0) + (-10 - -2 - -30 - 12).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**6\/120 - r**5\/30 - 5*r**4\/24 + 2*r**3\/3 + 216*r**2. Give b(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-5) + 2*3. Let a be 5 - 10 - -9 - (-23 + -1). Solve -g*m + m + 4 = 3*f, -5*f + a = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6504950*q**3 + 7832487*q**2?\nAnswer: -39029700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 9 - 5 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y - 3. Let p(n) = -3. Let w(t) = -8. Let v(f) = -5*p(f) + 2*w(f). Give -r(m) + 2*v(m).\nAnswer: 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 17*g**2 + 20*g + 66. List the prime factors of f(11).\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (81\/(-513))\/((-3)\/57). Let d be (-3 - -6) + 18\/(-14). Sort -3, q, d, -1\/3 in increasing order.\nAnswer: -3, -1\/3, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*q - 14*q = q + 17101. Which is bigger: 342 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (280\/(-220))\/(((-36)\/(-66))\/(-6)). Solve -y = -4*z + j, -323*z = -318*z + 2*y - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04612 + 0.25388. Which is the closest to -0.28? (a) 0.5 (b) -5\/2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17909519 to the power of 1\/2, to the nearest integer?\nAnswer: 4232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -37?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012 is divided by 146.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6.330155 days?\nAnswer: 546925392000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2027, -2188, -2441, -2774, -3175, -3632, -4133?\nAnswer: -4666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1765\/2 or 883?\nAnswer: 1765\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -309 or 24?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1*8 - (2 + 88)\/(-15) - 11\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 15 = 3*z, 0*h + 4*h = -5*z - 25. Suppose 6*g - g = h. What is the derivative of i**3 + g + 4 + 3 - 10 wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 10*h**2 - 13*h + 44. Let m be 3\/(-6) + 34\/4. Suppose y - 28 = -y + n, m = 2*y + 4*n. What is the smallest common multiple of r(9) and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p - 188. Let c be a(-38). Let l(u) be the third derivative of 1\/168*u**4 + 0 - 1\/420*u**5 + 0*u + 3*u**c + 0*u**3. Factor l(b).\nAnswer: -b*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-18)\/(-6) - 4) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.138756 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 0*b + 0 - 5\/24*b**4 - 11\/6*b**3 + 3*b**2. Differentiate c(p) wrt p.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -16 + 11 - 66\/(-2). Solve c - 3 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261550 divided by 3.\nAnswer: -261550\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010 (base 2) to base 14.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/3 + 165\/35. Sort -0.2, 10\/9, o, 14.\nAnswer: o, -0.2, 10\/9, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 75 = 9*w. Solve 0 = -f - 2*f - w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/19))\/t**(-3\/4))\/((t\/t**(2\/19))\/t*t**0)*(t*(t**(2\/13)*t)\/t*t*t)\/t**(-2)*(t*t*t*t\/(t**(2\/5)\/t*t)*t*t)\/t**(-2) assuming t is positive.\nAnswer: t**(3771\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -1, -2\/3, -0.4, -0.06 in ascending order.\nAnswer: -22, -1, -2\/3, -0.4, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3 + (1 - 5 + 3)*(4 - 6 - 7) - 2 - 1 - 1)*(2*d + 4*d - 3*d) as o + r*d and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1138 - -1727. Suppose r = 3*n + w - 1041, 4*n + 5*w - 2166 = 0. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6006*c**3 - c**2 + 481*c + 1 wrt c.\nAnswer: -36036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3785*x**3 - 259*x**3 + 5176*x**3.\nAnswer: 8702*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52392213941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*a - 38*a + 113*a - 33*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 6 + 18 = -0, d + 2*b + 9 = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 160 + -160.1. What is the nearest to k in 1\/6, -0.5, 6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302664 is divided by 100882.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 156, 136, 116, 96, 76?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -224 greater than -197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:44 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 94246.66 millennia?\nAnswer: 1130959920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-65)*((-4920)\/(-328))\/((-66)\/(-2))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 9*q + 4193. Let z = 96 - q. Let f = z - -3512\/7. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -14, -106, -24, 6 in increasing order.\nAnswer: -106, -24, -14, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - (172 - 178)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/42)\/((-1083)\/(-560994)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.83 and -1\/91 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**2 + 586*p - 41*p**2 + 2 + 19*p**2 - 586*p + 12*p**2.\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2359 is divided by 106.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270062?\nAnswer: 2, 13, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2. Let z(c) = -21*c. Suppose -7*r = -22*r + 45. Let o(m) = 4*m. Let j(g) = r*z(g) + 21*o(g). Calculate t(j(q)).\nAnswer: -2205*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 87cc?\nAnswer: -87c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o = -32*o + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from xluthxa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59\/10*o**2 - 1\/10*o**3 + 61\/5*o + 0.\nAnswer: -o*(o - 61)*(o + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 4:43 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3350 + 3337. Does 62 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -770\/14387 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -38, -117, -290, -593, -1062?\nAnswer: -1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f**4 - 4*f**2 + 11 - 4 + 4*f**2 wrt f.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 3492986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -993.54 minus -31?\nAnswer: -962.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21+-2381724\nAnswer: -2381745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -47 (b) 2 (c) 2\/129 (d) 2\/45 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**6\/360 - 7*v**4\/24 + 38*v**3\/3 + 61. Let g(d) be the third derivative of l(d). Calculate g(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 5:09 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = 2*g, -4*w - g + 1 + 7 = 0. Suppose 0 = w*y - 90 - 0. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (-195)\/(-90))\/((-20)\/(-215)). Let u be ((-21)\/(-8) - -1) + 1. Let m = u + g. Find the common denominator of 38\/33 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1825732, 5, -0.3, -1\/3, -5, 2?\nAnswer: -1825732","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + 10*n**2 + 10*n**2 + 7*n**2 + 11*n**2 as c*n**3 + o*n + k + b*n**2 and give b.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 13233*q. Let n(p) = 6*p + 12. Let k(l) = -7*l - 15. Let c(o) = -4*k(o) - 5*n(o). Calculate w(c(i)).\nAnswer: -26466*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-376)\/20 - -18)\/(2 + (-38)\/20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 6*q**2 + 3*q. Let i be 108\/9 + -18 + 1. Determine r(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + w + 2 = 0, w - 20 = 6*w. Suppose u*b - 12 = -2*o - 3*o, -o + 2*b = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 389469 and 591?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*t - 7*t. Solve -2*g - t*g = l + 9, g = -2*l - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2500.8719 rounded to the nearest integer?\nAnswer: -2501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76810796 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 1334.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*(sqrt(539) - -2*sqrt(539)) + sqrt(539))*-2 + 4)**2.\nAnswer: -3136*sqrt(11) + 422640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, v: 7}. What is prob of picking 1 v and 3 k?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2) - sqrt(18)) - 3*sqrt(2)*-3)*-4.\nAnswer: -28*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -1\/11, -824?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)*z**(2\/13)*(z**(-2\/3))**(-30))\/(z**(-2)\/(z\/z**2*z)*(z**(-1\/2))**(-11\/6)) assuming z is positive.\nAnswer: z**(16253\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 2418?\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -3.\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w - 60*w = 52*w - 6*w - 6018 for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409255614.\nAnswer: 2, 3, 31, 733433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545499887.\nAnswer: 71, 137, 56081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -12, -1, -375, 3 in decreasing order.\nAnswer: 3, -1, -2, -4, -12, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2017 + 661 + 668 + 664 + 34*c in the form d*c + i and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*r + 3. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**5\/5 - q**4\/3 + q**3\/6 - 2*q**2 - 7*q + 6. What is the hundreds digit of z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 7:02 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-10)\/8)*2\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/1845 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26910 divided by 6?\nAnswer: 4485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 1 - 1)*(-r + 4 - 4)*(-325*r + 358*r + 879*r) in the form w + y*r**3 + k*r**2 + x*r and give y.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 13) in base 6?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (175 + 187*a + 170 - 345)*(2*a - 3 + 3).\nAnswer: 374*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*3 - 9\/3. Let x = c + 11. Suppose x*j - 5*j = 0. Solve j*w + 5*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/2 - (4 - 5). Let p(h) = -h - 8. Let g be p(-11). Let u = g + t. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -97\/2. What is the closest to 0.1 in p, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwpa when four letters picked without replacement from ppwawaaqpvaa?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (5 - 2)) + 8\/42. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -134*k - 6. Is r(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5453 - 0?\nAnswer: -5453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16989111 minus 26336?\nAnswer: -17015447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 12:43 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 212791817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.13 + -0.13. Let i = r - 16. Let q be 1 - ((-6)\/(-2) + -2). What is the closest to 1\/4 in q, i, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n + 25. Suppose -198 = -n*i - u, u = 5*i + 4*u - 204. Let l = -23 + i. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 + -2.54. What is the nearest to k in 0, -0.5, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/3 + 4*d**4\/3 - 2*d**3 - 16*d**2\/3 - 8*d\/3 = 0. Calculate d.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**6\/360 - i**4\/24 - 43*i**3\/6 - 6*i. Let m(z) be the second derivative of j(z). Suppose -2*y - 2*y = 0. Give m(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 345*d + 1191. Does 17 divide y(-107)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a60a4 - -4?\nAnswer: a60a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26 (b) -2\/11 (c) 2390 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2985586?\nAnswer: 2, 1492793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -63. Suppose 6*y - 2*y = 0. Suppose -l + v = -y*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 9*m**2 - 6*m - 9. Let i be h(-8). Let y(t) = -2*t**2 - 38*t - 173. Let a be y(-7). Sort a, 3, i.\nAnswer: i, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 42. Let o(p) = 8*p**3 - 2*p + 1. Let a be o(k). Solve -3 - a = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 2*f - 2*f)*(0*f - 3*f + 0*f) - 2*f**3 + f**3 - 2 + 5.\nAnswer: 2*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24\/72*54\/(3\/(-1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2184, -193, -2, 0 in ascending order.\nAnswer: -193, -2, 0, 2184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13429, 28424, 43419?\n\"Answer: 14995*g - 1566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 8. Suppose o = -4*p + 3*p. Let h(v) = -3*v + 1. Let a(f) be the first derivative of f**2\/2 - f + 3. Give p*h(w) - 2*a(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 459.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/24545 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3778 + -2806. Does 971 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857371178 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -28 + 45 + -21?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(17) + -4 - (1 + sqrt(68)).\nAnswer: -10 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 3*m - 5. Let y(g) = -1. What is c(v) - 6*y(v)?\nAnswer: v**2 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*((1 - -6) + -6). Let k be (3\/(-2) + d)*(-7 + 5). Is k bigger than -2\/1823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 730\/1683 + 2\/187. What is the closest to -6 in 2\/5, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -115. Let w = 947\/13 - b. Let z be (8\/(-42))\/((-2)\/(-6)). Sort z, w, -3\/2 in descending order.\nAnswer: w, z, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4865 + -4692. What is the greatest common factor of 8304 and v?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*n + 26, -5*i + 0*n = -4*n + 46. Let o(y) = -3*y**2 - 9*y - 6. Let d be o(i). Let c = d + 56. What is the nearest to 3\/7 in c, 1, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 - 1793*z - 1797. Give v(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**3\/3 + 25*m**2\/2 - 42. Find the second derivative of b(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109435\/4 at least as big as 27359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*o + 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 50789 = 1216. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -16*r**2 - 30*r + 137. Let t(c) = -7*c**2 - 16*c + 68. Let p(s) = -4*q(s) + 9*t(s). Give p(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/((-2)\/(-3 + (-1 - -3))). Suppose a*p = -b + 96 + 62, 5*b - 734 = 3*p. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*p = -1670 - 6055, 0 = -2*u - 5*p + 5144. Let x = 5134 - u. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 - 513.6182.\nAnswer: -450.6182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)\/sqrt(2) + sqrt(60))*-3 + sqrt(720)\/(sqrt(12)*-1))\/(sqrt(108)\/(sqrt(36)\/sqrt(4)*-5)))**2.\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d**5 - 188*d**4 - 652*d**3 - 1012*d**2 - 672*d - 144 = 0.\nAnswer: -3, -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 199172\/35 + -5691. Let y = -38\/7 + f. Which is greater: y or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 628576 = 138*w - 34*w. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10650 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-18)*b*(b\/b**24)\/b)**46)**(-21))**(1\/7) assuming b is positive.\nAnswer: b**5658","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*i + i. Suppose 5*d - k = 4*k - 60, -5*k = 3*d + 60. Let o = i + d. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-1 + 17*z - 6*z - 9*z).\nAnswer: -4*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002393171 to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/19 - 9148*y\/19 + 18304\/19.\nAnswer: -2*(y - 2)*(y + 4576)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a + 6. Let f(q) = -4*q + 3. Let n(m) = -7*f(m) + 3*j(m). Let u be n(6). Suppose -2*l - u*l = 0. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -2\/15*c**3 + 9 + 1\/100*c**5 + 1\/30*c**4 + 0*c + 15\/2*c**2. Let w(v) be the second derivative of q(v). Factor w(i).\nAnswer: (i + 2)*(3*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-257)\/478 - 3\/(-6). Let k = v - -23841\/4780. Let l = 7035\/8 + -63511\/72. Calculate the common denominator of k and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 0, 1\/5.\nAnswer: 0, 1\/5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/8, -19, -9 in descending order.\nAnswer: 1, -1\/8, -9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*c - 5*c + 240, 0 = -5*c - w + 1179. What is the remainder when c is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80813.\nAnswer: 211, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/90)\/((-8008)\/8195) - (-6)\/(-13)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 5, -3 in decreasing order.\nAnswer: 5, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/9, 3, 83, -0.04, -13, 5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7d + 204?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(1\/22))\/n*n*n**(-19))\/(n**(1\/26)\/n**(3\/2)))**(-25) assuming n is positive.\nAnswer: n**(117925\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -1585123832718?\nAnswer: -1585123832714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = 4*l, -6 = -4*p + 3*p - 3*l. Let j be (7\/(-2))\/(p\/(-24)). What is the greatest common factor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 6*a + 94, 2*a + 32 = -4*v + 35 - 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 + 26 - 10 - 12. Let s(q) = 5*q**2 + q - 5. What is 3*b(z) + 2*s(z)?\nAnswer: -2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102000 = 184*j - 190*j. Round j to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -0.5, -0.2, 44?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-14) + ((-2)\/(-2) - 0). Which is the smallest value? (a) -1\/3 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -5 - (-17 + -1 + 2). What is the highest common divisor of 165 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/k**(1\/2)*k))*k*(k**(1\/14)*k)\/k*(k**(1\/2))**(-16))**(1\/12) assuming k is positive.\nAnswer: k**(-19\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 9*k - 24. Give w(13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2483 + 6701. Let r = u - 2960. Let l = r + -130831\/104. Which is bigger: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5966 + -60?\nAnswer: 5906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110 - 35850\/(-150))*2\/(-12)*2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b**3 - 30*b**2 + 2*b + 21. Let a be j(-5). Suppose -118 = -a*s + 487. Calculate the remainder when 207 is divided by s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 20483 = 20531. Let j(y) = y**2 + y - 4. Let m be j(-3). Solve m*t + t = -i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(119)*-2 + (-2*(sqrt(119) - (sqrt(119) + 2*sqrt(119))) - sqrt(119)))\/(-3*sqrt(196)\/sqrt(7)).\nAnswer: -13*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 70336?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 42. Let r be i(20). Let c be r - (-48)\/(3 + 0). Suppose -3*w - 4*h = -86, w + 3*h = 4 + c. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74301666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*h + 11*h - 39690 = -143*h - 58*h for h.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -34 - (-2 + (-6)\/(-2)). Let z = -21 - g. Solve -r = 3*n - 0*n + 10, -2*r - z = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*l - 178*l = -49 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.3, 4, 0.2, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 80*b**2 + 622*b - 37409. Give p(82).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7011.104l to millilitres.\nAnswer: 7011104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 145 - 141 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37520 - 87?\nAnswer: -37617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, h: 2, e: 13}. Give prob of picking 2 h.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*33\/154.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j + 2. Suppose 3*v - 14 = -2*l, 3*v - l + 14 = 16. Give d(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12258 less than -12256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Let w = 0.04 + -2.04. Which is the second smallest value? (a) -0.2 (b) n (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4*v = -27, -v - 4*v - 40 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11773 + 11777. Solve -3*q - h = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 = 20*d - 2*d - 4 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/11, -132330?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619 = 6*g - 437. Let j = 285 - g. Let v = 47 - 19. Calculate the remainder when j is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -2*i - 4*g, -3*g = 5*i - 7*g + 200. Let k be (46\/4)\/(6\/i). Let r = k + 82. What is the remainder when 36 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 0*h - 3663 - h + 713*h**2 + 3666 to g*h**2 + t*h + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4405*v - 8810*v + 4406*v - 55 = 5*z, 0 = v for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 1. Let k = 3 + -3. Suppose 5*a + 3*v = -12, 4*a - 4 = -k*a + v. Give s(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/22 and -95\/1424.\nAnswer: 15664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qofofooe. Give prob of picking 1 o and 3 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*g - 12, -1 = 4*g + 3*v - 4. Let n(o) = 20*o**g - 40*o**3 + 19*o**3 + 9*o**2 + 2. What is the units digit of n(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 36*i**2 + 5. Let y(b) = b**2 + 1. What is w(n) - 5*y(n)?\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*w + 4*f, 4*f + 2 + 8 = -2*w. Solve 2*o = 3*o - w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 124, -2, -5.\nAnswer: -10, -5, -2, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 4*m + 13, 2*m = -8. Let a be 3*(196\/6 + j). Let y = a - 50. Calculate the remainder when y is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162987 divided by 54329.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 17*f + 18*f = -1892, 0 = -3*y - 5*f + 1124. Is y a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l - 304. Give i(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3055 and -0.664?\nAnswer: -2028.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/180*(22 + 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let g(u) = 12*u**2 + 3. Let d(r) be the first derivative of -23*r**3\/3 - 5*r - 8. Let v(x) = 3*d(x) + 5*g(x). What is c(v(i))?\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k - 4. Suppose -29 = -5*v - 4*u, -4*v + 2*u = -0*v - 44. Let m(p) = 3 + 5*p - v + 9. Determine -5*c(y) - 6*m(y).\nAnswer: -5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33155*c**2 + 66309*c**2 - 33159*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512 + 204 = -55*l - 549 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -243505 - 13?\nAnswer: -243522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by -25.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -i + 2*i + 1, -i - 4*u = 0. Let h = 6 + i. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/330*((135\/(-50))\/3)\/(50\/(-400)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4199 - 521012.\nAnswer: -525211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9601 is divided by 4713?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 16636*m**2 + 5251008*m + 431601408.\nAnswer: 4*(m + 168)**2*(m + 3823)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/18 - -2) + ((-10696)\/1344 - -7)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 1, m: 7, x: 1, c: 5, i: 1}. Give prob of picking 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1105 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1737\/15 - (-6)\/30. Suppose 2*f - m = -44. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 + 6*x**2 + 15*x + 14. What is h(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -36. Calculate the smallest common multiple of l - (3 + -6)*-1 and 3\/(-6) - (-32 + 1 + 303\/(-202)).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/(-12) - 1\/4. Suppose -o + 22 = 4*a. Let d(h) = 15*h**2 - 8*h + 3. Let w(m) = -7*m**2 + 4*m - 1. Let f(n) = -6*d(n) - 13*w(n). Give f(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k**4\/11 - 492*k**3\/11 + 4168*k**2\/11 - 6480*k\/11 = 0. What is k?\nAnswer: 0, 2, 10, 162\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1450*l**2 + 406*l**2 - 493*l**2 + (-2 + 2 - l)*(-l - l + l) as u*l + h*l**2 + f and give h.\nAnswer: -1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*u + 3*l, -6*u - 2*l = -2*u - 8. Let m = 2 + 0. Sort m, 3, u.\nAnswer: m, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 26.4. Let u = n - -0.6. Which is the nearest to u? (a) 0.01 (b) 1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1262 + 0.01.\nAnswer: -1261.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.395479 micrograms?\nAnswer: 0.000000000395479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 66 = -2*t. What is the smallest common multiple of 6 and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - o - 2. Let h be c(-2). Suppose -a + 9 = -3*w, 2*a + h = w + 4*a. What are the prime factors of 5 - (-4)\/(w\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + a - 227, -2*s + 3*a = s - 129. Let w = 174 - s. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -105, -1, 5 in decreasing order.\nAnswer: 5, 1, -1, -2, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 103 = -47. Suppose 0 = w*p - 55*p + 3526. What is the remainder when p is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9697670375 - 38716179970. Let x = i + 29018509622.600000594. Let k = x + -27.6. Round k to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27124900 to the nearest 100000.\nAnswer: -27100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.155 (b) -0.1 (c) 5\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/((-3)\/(-6)). Let o be -3 + 11 + 1742\/(-208) + 6 + -6. Put 0, c, o in descending order.\nAnswer: 0, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -307*l - 49. Let p be n(4). Let i = 416 - p. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 430645, 430628, 430625, 430642, 430685, 430760, 430873, 431030?\nAnswer: 431237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 3*b**2 + 30 + 4*b + 5*b**2 - 12*b**2 + 8*b**2.\nAnswer: -4*b**2 + 4*b + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 + -115. Sort l, 5, -5 in increasing order.\nAnswer: -5, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.95 - -22.85. Let u = -0.6 - d. Round u to zero dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c*d*m - 1621*c*d - 201633*c*m + 5*d*m wrt d?\nAnswer: -c*m - 1621*c + 5*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-520)\/(-390) + -3 + 7 + (-1180)\/228?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2 - 89344120*j - 89344125 = 0. Calculate j.\nAnswer: -1, 17868825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3145*f**3 - 3982 with respect to f.\nAnswer: -9435*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3376 and 125756?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.168 * -91546\nAnswer: 15379.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 3:30 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -136864420 divided by 4888015?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*f - 468022 = 83*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 30234\nAnswer: -5\/15117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 7. What is the highest common divisor of g and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1292 + 2141 = 12*v - 443. Calculate the remainder when v is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.04, 0.5, 167, -0.1 in descending order.\nAnswer: 167, 0.5, 0.04, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38391, 76784, 115177, 153570, 191963?\nAnswer: 230356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 23*a - 70. Let h be c(4). Suppose 4*m = 4*g + 72, -g + 0*g = m - h. Calculate the greatest common factor of 15 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102031 + 210344?\nAnswer: 103313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31894 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/1353 + 4507\/4059. Let g be ((-4)\/(-9))\/(-2 + 1). Let y = c + g. What is the third smallest value in y, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 90 = -5*z. Solve -3*w = -6, 5*m - 4*w = z - 13 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 15, 35, 69, 123, 203, 315, 465?\n\"Answer: o**3 - 2*o**2 + 11*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3614 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: What is 20 minutes after 12:04 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -1, -8 in ascending order.\nAnswer: -8, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 4*u - 8*u. Calculate the lowest common multiple of u and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = f - 2*c - 47, 3*c + 159 = 3*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/2 - 24*x + 153\/2 = 0.\nAnswer: -51, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 10*c - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*s + 39*s - 100*s + 4255 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8 + 3. Let o = 2436 + -31670\/13. Put c, -2\/3, o in descending order.\nAnswer: c, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - o**2 - o - 2. Let m = 61 - 55. Let t be 1 - m\/(-1 + 4). Let c(f) = f**2 + 1. Give t*s(p) - c(p).\nAnswer: -2*p**3 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/89 and -58\/5?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 86. Is 2 a factor of 36 + (c + 0)\/4*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152*a**4 - a**5 - 174*a**4 - 781*a - 395*a - a**5 wrt a?\nAnswer: -40*a**3 - 3912*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l**3 - 33*l**3 + 67*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let h(i) be the first derivative of i - 11. Let l(o) = 2*o - 8. Let a(r) = 24*h(r) + 3*l(r). Calculate v(a(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32, 2082, 5594, 10504, 16812, 24518?\n\"Answer: 699*b**2 + 17*b - 748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*x**2 + (593 - 73*x - 593)*(-20*x - x + 9*x))*(x**2 + 0*x**2 + x**2).\nAnswer: 1748*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**4\/24 + 46*c**3\/3 + 352*c**2 - 8692*c. Factor w(m).\nAnswer: (m + 8)*(m + 176)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 47 - 43 - 53 - 61 + 258 + 8*z.\nAnswer: 8*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x**3 - 9*x + 222. Let j(z) = -5*z**3 + 4*z - 111. Calculate 4*i(w) + 9*j(w).\nAnswer: -w**3 - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/4, -0.4, 0.3, -4\/5, 3, 14.48961?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1478403 to the nearest 10000.\nAnswer: -1480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 0 + 3)**2 + (((0 + sqrt(2736) - sqrt(2736)) + 3)**2 - sqrt(2736) - sqrt(2736)).\nAnswer: 48*sqrt(19) + 2754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -2\/9, 5, 4.4?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 11. Let x be a(7). Suppose -x*f + 33 - 25 = 0. What is w in -14\/5*w**f - 12\/5 - 46\/5*w = 0?\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916148758?\nAnswer: 2, 7, 65439197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -46. Suppose -v*n + 93 = -2*p - p, 0 = 2*n + 5*p - 53. Suppose 19*h = n*h - 995. What are the prime factors of h?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 26800*h. Let y(m) = -518*m. Give p(y(a)).\nAnswer: -536648*a**2 - 13882400*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(22)*-2 - (sqrt(22) + sqrt(1078)*2 + sqrt(1078)))\/(sqrt(2) - -2*sqrt(98) - (sqrt(2) - 1*sqrt(8)\/sqrt(4))).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -11100?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47069579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/(-21))\/((-1870)\/(-119) + -16). Let p(v) = v**2 - v + 1. Let x(i) = 2*i**3 + 10*i**2 - 6*i + 1. Calculate l*p(n) - x(n).\nAnswer: -2*n**3 - 4*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/391753 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from xwgfwg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44722795771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - 11*w + 126. Calculate a(7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, m: 1, g: 3, a: 3}. Give prob of picking 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**6\/360 + h**5\/120 - h**4\/24 - h**3\/3 + h. Let g(t) be the second derivative of s(t). What is the units digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*i + 2*u, 37 = -14*i + 11*i - 5*u. Factor 5\/4*a**2 + 2*a + 1\/4*a**3 + i.\nAnswer: (a + 1)*(a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00793 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 16*c. Let g(b) = 6203*b - 3107*b - 3102*b. Determine p(g(n)).\nAnswer: -96*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2976 - 1775. Let f be ((-4)\/5)\/(1\/(-895)). Let d = g - f. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -12 - (28 + (-21 - -2)) - (-1 - -16).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, 1, 106 in decreasing order.\nAnswer: 106, 1, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111853, -112156, -112459?\nAnswer: -112762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -11*n**3 - 3*n**2 + n + 2. Let x be s(2). Let y = x + 101. Suppose 32 = 9*m + y. Solve -m*g = -5*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434*o**2 + 434*o**2 + 16*o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24417*p + 378439 = 1443493 + 985974 for p.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3341 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -445499\/55305 + -3\/12290. What is the common denominator of -83\/66 and k?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-254 - 361 - 855 - 3134)*(0*l - 4*l + 3*l).\nAnswer: 4604*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 9:42 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**3\/6 - 9*y**2\/2 + 2*y. Suppose 5*t = -4*v - 0*v - 43, v - 4*t - 5 = 0. Let s be o(v). Put s, 3, 2 in decreasing order.\nAnswer: 3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 673721604 to the nearest integer?\nAnswer: 25956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -122.6 - -142. Let l = i + -19.4. Sort -4, l, 2\/39, 1\/4 in increasing order.\nAnswer: -4, l, 2\/39, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + h = 2*h - 12*q + 3*q - 160, -4*h + 10 = -q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-2)\/(-18)*3. Sort 3, k, -2.\nAnswer: -2, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - j + 1530007 = 0, 8*j - 6 = 6*j. Suppose 0*f + 2*m - i = 5*f, -459003 = 3*f - 3*m. Round f to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 t, 1 j, and 1 q when four letters picked without replacement from tbtjjqjqqvjlj?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 5. Let i(x) = 3*x - 14. Let q(h) = h**2 + 13*h - 20. Let l be q(-14). Determine l*i(w) - 17*b(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 66124598047921 and -4.\nAnswer: 66124598047917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*f + 5*l - 15, 5*f - 2*l = 36. Suppose -7*b = -f*b - 6. Solve -b = -3*d + 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54, -57, -60, -63, -66?\n\"Answer: -3*w - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 11*x**2 - 107*x + 18. What is the least common multiple of 24 and k(11)?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5331158932.\nAnswer: 2, 11, 121162703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 m when three letters picked without replacement from {c: 5, m: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.29 * -31.\nAnswer: 101.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -79, -54, -29, -4?\n\"Answer: 25*d - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11221201 + 12?\nAnswer: -11221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - 3 - 38\/8 - (12 - 14). Which is the biggest value? (a) -1 (b) w (c) -2\/175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 11769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Let n = -63 + 15. Let w = n + 48.2. Which is the closest to w? (a) 3\/8 (b) t (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502730210?\nAnswer: 2, 5, 197, 255193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 2*y - 98. Let b be r(-9). Solve 4*f + 2*s + 4 = 0, -f = -12*s + 7*s + b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**5*l**3 + 2228*g**5*l - 779*g**2*l + g*l**3 wrt g.\nAnswer: -120*g**2*l**3 + 133680*g**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5024343 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 59*x. Let g(s) be the first derivative of s**5\/120 - 2*s**3\/3 + 35. Let c(a) be the third derivative of g(a). What is c(i(m))?\nAnswer: 59*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z**3 - 4929*z - 22 + 2501*z - 3*z**4 + 2430*z in the form j*z + w*z**3 + g + q*z**2 + k*z**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 3. Let j(i) = -13 - 4*i**2 - i + 14*i**2 + 9 + 4. Calculate j(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2157*g - 25891. Determine w(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -17. Suppose -r = -a - 4, -2 = -r - 4*a + q. Let w(s) = s**2 + 4*s - 1. Calculate the least common multiple of w(-5) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 25024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -638964 by 106494.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 8. Let u be 4*((-3)\/y + 0). Solve -3*k + 5*h + 2 = -13, -u*k + 2*h + 6 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwnwnw.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and -3087544.\nAnswer: -111151584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 58. Let r = 287 + -286. Is v <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.12454 and -5225360469.4.\nAnswer: -5225360469.27546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 3:51 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2472, -2488, -2504, -2520?\nAnswer: -2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12748, 51014, 114768, 203992, 318668, 458778, 624304?\nAnswer: 815228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-8792)\/(-1884)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1367125432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 41*h - 44*h - 6, 0 = 3*y - 11*y + 2*h - 36 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104444323 (base 5) in base 6?\nAnswer: 14013545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/4))**(-10\/17)*((s*s\/(s**(-1)*s)*s*s)\/s)**(-5))**(-15\/8))**46 assuming s is positive.\nAnswer: s**(174225\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44767648811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.7 - 12. Let c = r - 1.7. Let p(g) = -g**2 - 11*g - 13. Let i be p(-9). Which is smaller: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2 + 584062*s - 85282104961 = 0. Calculate s.\nAnswer: 292031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 2*w = 9*g + 8, -2*w + 4 = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/21 + -4 + 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 13. Let a(s) = 3*s + 7 + y*s - s**2 - 10*s. Give a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -590291?\nAnswer: -177087.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*w = -4, 2 = g + 2*w + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 + 103. Let v = -2 + -1. Let q be 0 + -3*2\/v. Solve q*t - w = -5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + 1 + 22*i - 27999180*i**2 - 23*i**3 + 27999180*i**2 to the form z*i**4 + r*i**3 + q + o*i + w*i**2 and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -63, 0.0432.\nAnswer: -63, 0.0432, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, f: 5, d: 3, l: 1}. What is prob of picking 1 d and 2 a?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.023 in -2, 5, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2459346, 2459298, 2459252, 2459208, 2459166, 2459126, 2459088?\nAnswer: 2459052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 - 228*o**2 - 573*o + 65316. Give j(114).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 83. What is the units digit of (-1528)\/s*(-5)\/(5\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*b**4*j - 6*b**4 - 586*b**3*j - 91*b**3 - 11425767*b**2*j - b*j - 3*b - j wrt b.\nAnswer: 384*b*j - 144*b - 3516*j - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -363 - -387. Suppose 1392*l - 1379*l - 208 = 0. Calculate the remainder when q is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241a (base 13) to base 2.\nAnswer: 1001111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s + 4. Determine y(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 872144362.00000286 - 872144388. Let y = m - -26. Round y to 7 dps.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*b**2 - 8*b**2 + 29*b**5 + 45*b**2 wrt b?\nAnswer: 1740*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y**2 + 2*y + 1. Suppose 0 = -2*b - 0*b + 28. Let f be (-25)\/35 - 4\/b. What is the units digit of c(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 10:13 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - 99\/(-21) - 44\/(-105). Put z, 1\/18, 0.2 in decreasing order.\nAnswer: 0.2, z, 1\/18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(18\/30)*42\/(-30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, p: 1, s: 1, o: 2, d: 3, u: 1}. What is prob of sequence ohoh?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - x - 1. Suppose -5 = -7*s + 8*s, j + s = -5. Calculate z(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5789 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027857 rounded to four dps?\nAnswer: 0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 + 161 = 7*k. Suppose k = 14*y - 12*y. Suppose -10*h - h = -y. What is the remainder when 7 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50581 - 27776. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13845707 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 6*b - 2. Suppose 80 = 5*l + 5*o, 3*l - 5*l + 72 = -3*o. Calculate the remainder when l is divided by v(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*f**2 + 7*f**2 - 223*f**2.\nAnswer: -181*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9849.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 707069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzggzzz. Give prob of sequence zg.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/3000 and -101\/10500.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10 + 4*n - 2*n**3 + 58*n**2 - 6*n - 70*n**2 + 30*n**2 - 497*n**5 wrt n.\nAnswer: -29820*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 + 2 = 0. What is the smallest common multiple of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*y + 36, -111 = -4*m - 4*y + 7*y. Let x = -21 + m. What is the smallest common multiple of 44 and x?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 22.7. Let y = r - -3.3. Sort -0.4, y, 1 in decreasing order.\nAnswer: y, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*d + 8 - 17 + 43 + 46 - 7 wrt d?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 12*t - 564. Calculate the remainder when 340 is divided by x(52).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (77\/39 + -2)\/((-134)\/(-17286)) + 3\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**4\/4 - 2*q**3\/3 - q - 2. Let w be (-4)\/(8\/(-6)) + -1. What is f(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 40607 and 1908528\/47 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 25*s - 6. Let r = 12 + 1. What is the lowest common multiple of (s*r)\/(1\/(-1)) and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 9196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(5\/(-18))*1220\/732?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3*y + 0*y)*(-2*y**3 + 5*y**3 - 5*y**3) + 2*y**4 + y - y + y**4 + 42*y**2 - 16*y**2 + 78*y - 28*y**2.\nAnswer: 5*y**4 - 2*y**2 + 78*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83616\/7 + -11966. Let x = 21 + g. Let l be (14\/(-7))\/((-2)\/4). Which is the nearest to 2? (a) x (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - y + 143, -7*w = -3*w - 4*y - 580. Let j be 2\/(-6) - w\/(-27). Suppose 24 + 76 = 4*u + 3*t, -j*u - 2*t = -125. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**5\/20 + h**4\/3 - 17*h**3\/3 - 5*h**2 + 2*h - 127. Give r(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -3*r - n + 11, 0 = r + 5*n - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6 + 21)*(-3 + 1 + 0)*(-2 + 1 - 2)*(3*h**2 - 2*h**2 + 19*h**2).\nAnswer: 960*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 178.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024592916 rounded to 4 decimal places?\nAnswer: 0.0246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvovovvlol. Give prob of sequence lvl.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -18 - -1) + -3. Let t = k - 8. Is 5 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*sqrt(16)*5)\/(sqrt(1152) - (-4*sqrt(1152) - sqrt(1152))).\nAnswer: -125*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1986, -4493, -8678, -14547, -22106?\n\"Answer: -n**3 - 833*n**2 - n - 1151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 55 - (-6 + -4 - -1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 126\/49*(-4 + 578)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-12)*(-3 + 0 + 0). Let p = -47.5 + 54. Let v = -6.2 + p. What is the closest to t in -0.2, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9469 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 7*a**2 - a - 3. Let p be f(7). Let s be (-574)\/(-4) - 5\/p. Suppose 0 = 2*z - 5*b + 67 - 178, 3*z - s = 3*b. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-6))\/((-3)\/9). Let g(c) = 2*c - 2. Let u be g(4). Let p(s) = -3*s + 8*s - 3*s + s**2 - u. What is p(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 392 by 1.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 + 6*o**4 - 12*o**4 + (5*o**2 + 3*o - 3*o)*(-o**2 + 5*o**2 - 3*o**2) + 2*o**2 + 6*o**4 - 32*o**4 + 6*o**4 - o**4 + 2*o - 2*o.\nAnswer: -19*o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11340*q**2 - 30*q - 60. Let s be l(16). Let r be ((-360)\/(-1))\/(27\/s). Round r to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 8. Let k be u(6). Let y(f) = -f**3 + f**2 + f. Let b be y(k). Let i = 6 + b. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - x - 3. Let u be v(-2). Suppose u*y - 147 = 231. Let c be -2*1\/3*y\/(-12). Solve -c = 4*o + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - d + 0)*((2*d + 0*d - d)*(4*d - 2*d + d) + 3*d**2 + 6 - 6 - 3 + 3 - d**2) in the form w*d + r*d**2 + j + a*d**3 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 119 - 116 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70259292 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -134?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*u - 3, -2 = -3*u - 3*r - 8. Suppose -2*x = z - 7 - 17, -2*z - u*x + 43 = 0. Calculate the remainder when 40 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1568 + -956. What is the highest common factor of 36 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (-3*sqrt(156) - sqrt(156)))*2 + sqrt(156) - sqrt(156))\/(sqrt(972)*-3 + sqrt(972)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**4 - 2688*a**3 - 5392*a**2 = 0.\nAnswer: -2, 0, 674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -474 + 454. Put -4, u, -4\/5 in decreasing order.\nAnswer: -4\/5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f**2 + 67*f - 438. Calculate r(7).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 26*m**2. Let y(z) = 6*z. Let l(g) = g. Let n(v) = 5*l(v) - y(v). Determine a(n(q)).\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**4 + 72*b**3 + 148*b**2 - 1584*b + 1936 = 0?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w = -17*w - 16, 0 = 5*d + 2*w - 18 + 26 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-77*u - 107*u - 15*u - 3*u)*(-u - 1 + 1) in the form t*u**2 + w*u + p and give t.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**4\/24 - y**3\/3 - 21*y**2\/2 - 27*y. Let w(c) be the first derivative of p(c). Determine w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 7 - (1 + (-4 - -9))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 5*g - 1. Suppose 2*d - 25 = 7*d. Does 12 divide x(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*sqrt(3)*-6.\nAnswer: 5 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:08 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60\/(-4)*4\/(-20). Suppose 8*g = -a*g. Factor -2\/5*d**3 + 8\/5*d**2 + g - 8\/5*d.\nAnswer: -2*d*(d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 1, d: 11}. What is prob of sequence ddq?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*i**4 + 8*i**3 + 36389*i + 125466583 wrt i.\nAnswer: -52*i**3 + 24*i**2 + 36389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -u - 3*r + 4, -2*r = -5*u + 128. Let d be 132\/8 - (-1)\/(-2). What is the highest common divisor of u and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93429 * 0.1.\nAnswer: 9342.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/5)\/(2\/25). Let x = t + 15. Suppose -x*j + 15 = 0, -5*z + z + 27 = 5*j. Solve 3*u = -s - 12, 4*s + z*u = -3 - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 + 22*i**2 + 134 - i**3 - 134 to the form y*i**4 + q + a*i**3 + x*i**2 + f*i and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 90744671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 - 2 = 5*l, 0 = -l + 5. Suppose z = -a + 8. Let h(k) = -a*k + 4*k + k. Let i(j) = 4*j. Give i(h(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 7) + 3 + -1 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -2. Let q be (d - -1)*(3 - 4). What are the prime factors of -2 + -1 - -21 - q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*p**4 + p**2 + 112*p wrt p?\nAnswer: 108*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**6\/120 - a**5\/15 - a**4\/4 + 2*a**2. Suppose 40 = 7*s + s. Calculate j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Let k(y) = -6*y + 2*y + 3*y. Calculate d(z) - 3*k(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.046, -0.4, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -7 - (-33 - -37)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-294))\/((-219)\/511).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1848*l**2 - 101*l + 522. What is the thousands digit of b(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 11*a - 5 + 18383*a**3 - 3*a**2 - 9 - 5*a**2. Let h be v(10). Suppose 3*p - 5317724 - h = 0. What is p rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d*d*d**(2\/3)*d)\/d)\/d)*d*d**2)\/((d*d**(-3\/5))\/d**(6\/7))*(d*d**(-2\/7))**(5\/12)*(d**(-1))**47 assuming d is positive.\nAnswer: d**(-18443\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*v**3 + 220575*v**2 + 294160*v + 98060.\nAnswer: -5*(v - 4903)*(3*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -51, -109, -189, -297, -439?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 - m**3 + 5*m**3)*(8 + 4 + 0 + (-2 - 1 + 4)*(0 - 2 + 0) + 7 - 3 + 7)*(4 - 3 - 3).\nAnswer: -42*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 18881 + 3559. List the prime factors of m.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + (10 - 11))\/(-2 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*v = 89239 + 233438. What is the remainder when v is divided by 155?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1009.8 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33777280*w**4 - 260*w**2 + w - 10966 wrt w?\nAnswer: 810654720*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 4*y**3 + 2*y**3 - 5*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 1262\/5 (c) -3 (d) -2\/9 (e) 0.5 (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {o: 1, m: 3, c: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in 1.2, 1, -4, 0.5, 2\/7?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7116249 - -1043.\nAnswer: -7115206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -70*c - 588. Calculate z(-15).\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10698, -21394, -32090, -42786, -53482, -64178?\n\"Answer: -10696*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562.001m to micrometers.\nAnswer: 562001000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49453351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016759 rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-1))\/u)\/(u*u**(-2\/11)))\/((u\/(u*u**(1\/3)\/u))\/((u**(-1)\/u)\/u*u)))\/((u*u\/(u**(-2\/5)\/u))**48*(u\/u**(2\/3))**45) assuming u is positive.\nAnswer: u**(-30143\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -2. Let x(a) be the first derivative of 7*a**2\/2 - 138. Let v(s) = -48*s. Let u(b) = 28*b**2 - b. Let q be u(1). Determine l*v(r) + q*x(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*s**4 + 4*i**3*s - 9333*i**3 - 93475*s**4 wrt s?\nAnswer: 12*i**3*s**2 - 1121700*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115315473 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2\/7 + 330*m\/7 + 1179 = 0 for m.\nAnswer: -21, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w**2 - w + (-w**2 + w**2 - w**2)*(2 - 6 + 3) - 6*w**2 + w**2 - 5*w**2)*(5 - 3 + 2).\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.2 (b) -2 (c) 48933 (d) 0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-1*2 - (3 + 1*sqrt(605)))**2.\nAnswer: 198*sqrt(5) + 5454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**2 + 8*i + 5. Let l(u) = -8*u**2 - 8*u - 4. Suppose 0 = -10*k - 8*k - 41 + 113. Calculate k*a(d) + 5*l(d).\nAnswer: -4*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + (-20 - -22) + (-49 - -44).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + 2\/3. Let o be v\/(-1)*(-25)\/5. Suppose 0 = o*i + d - 67, 5*i - 33 - 22 = 5*d. Calculate the remainder when 24 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**3\/6 - 7*j**2\/2 - 2*j. Let f be x(-7). Let l(y) = y**2 + y + 47. Is l(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/9 and -85\/10236?\nAnswer: 30708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616039305?\nAnswer: 3, 5, 7, 61, 96181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b (base 15) in base 8?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 7*k**2 + 8*k - 10. Let g be l(8). Let w be (12\/g)\/(12\/(-30)). Suppose 8*n = w*n + 265. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 k, and 2 f when four letters picked without replacement from {k: 6, f: 3, i: 3, m: 4, l: 1, v: 2}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u + 5448 = -1848. What is the highest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - w = 322, -5*r + 0*r - 5*w = -550. Let m = -57 - r. Is m\/(-9) - 6\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94057\/3454 or -27?\nAnswer: -94057\/3454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-186)\/(-5)*(50 - 8835\/171)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -711*i + i**2 + 711*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 12*l**2 + 12*l + 13. Let y be s(13). Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((3\/12)\/(2\/32))\/(-3). Let r = -1122.4 - -1117. Sort r, q, 4.\nAnswer: r, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.73 + 50758575076.\nAnswer: 50758575078.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -76. Suppose 26 = 3*n - 2*x, -2*n + x + k = n. Suppose 4*w + n = 0, f - 3*w - 12 = -0*f. Solve -3*l - 9 = -5*c - 4*l, f*c + 4*l - 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39.999884 + -40. What is o rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 15350117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1058*y + 195 - 157*y**4 - 1058*y with respect to y.\nAnswer: -628*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 79. Let u be n(25). Solve 5*c = c + 5*t + 8, 0 = -5*c - u*t + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 776 and 28008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 2878 = -6*h - 3167. What is the remainder when 779 is divided by h?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63359814 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from bbssxssxbsbsbsxbx?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/28)\/(55\/(-374))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x. Let o = 1865 - 1862. Let m(c) be the first derivative of 1\/2*c**2 + o + 0*c. Determine m(v(w)).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1772, 2, 1, -3, -4, -5.\nAnswer: -5, -4, -3, 1, 2, 1772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 11. What is the closest to 0 in g, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39.7 - 2.3. Let f = x - -43. Which is the nearest to f? (a) -10 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3))\/((-5)\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -186, -209, -242, -285, -338?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000200562436 to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 7292*t - 5*t**2 - t**2 - 7292*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i - 8. Let x be y(-2). What is the closest to x in 3, 0.04, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 10038*h**4 + 682580*h**3 - 272*h**2 = 0?\nAnswer: -68, 0, 2\/5019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 14 = 3*q. Let f = 5\/12 + -1\/6. Which is the nearest to f? (a) -2\/5 (b) q (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4 = -2*s, -5*a + 5*s + 307 - 297 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31061 = 1137*p + 323*p + 3979 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95.7267l?\nAnswer: 95726.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1138, 4530, 10160, 18028?\nAnswer: 28134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.5, 872, 2\/5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124806 and 12617.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07925 in 2\/129, -4\/7, -2?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -184*q + 1574. Does 9 divide x(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + -154530?\nAnswer: -154477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-110))\/((-12369)\/41230)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 t when four letters picked without replacement from cccpcccpttct?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g\/((g\/(g\/(g*g*g**32*g)))\/g*g)))*g*g**(-15) assuming g is positive.\nAnswer: g**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((6*(sqrt(140) + sqrt(140)*-1 + sqrt(140)))\/sqrt(5))\/((sqrt(324) + -3*sqrt(324))*-4).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2. Let h(i) = -i + 1. Let k(o) = 2*h(o) - v(o). Let g(m) be the first derivative of -m**2 + 6. What is 3*g(p) - 2*k(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12cc0 + -14?\nAnswer: -12cd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/12)\/((-3)\/(-12)). Suppose t + r = 4. What is the highest common factor of t and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2222021213 (base 4) to base 3\nAnswer: 1022102000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2329847 or 2329806?\nAnswer: 2329806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -17. Let k(f) be the third derivative of f**6\/120 - f**5\/10 + f**4\/24 - f**3\/2 + f**2. Let b be k(6). Sort 4, b, w.\nAnswer: b, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948458?\nAnswer: 2, 7, 37, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.6 + -537685888.\nAnswer: -537685878.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from {p: 4, z: 11, e: 1, i: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 259157495 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5231 - 5226. Solve 8*k = 6*k + l + 1, 0 = q*k - 5*l + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 13 = o, 0 = 595*o - 601*o + 5*f + 29 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2663, 2653, 2641, 2633, 2635, 2653, 2693?\nAnswer: 2761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 14 = -v. Suppose 3*k - 89 = -2*h - v, 4*h = 3*k + 92. Suppose 4*t + 2*p = 4*p + h, 0 = t - 3*p - 14. Solve -4 = t*l - l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*q - 58*q - 59*q)*(-q**2 + q**2 + q**2) + (-3*q**2 + q**2 + q**2)*(-3*q + 0*q + 2*q).\nAnswer: -192*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 538, 447, 280, 31, -306, -737, -1268, -1905?\n\"Answer: -x**3 - 32*x**2 + 12*x + 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*((i*i*i*i*i**(1\/6)\/i)\/i)\/i))**23\/(i*i*i**(-13)*(i*(i**(-2\/11)\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(-901\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/216*30\/70?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 20 = 5*h, 0 = -4*h - 0*h + 3*z + 5. Let r = -2 + h. Suppose -p = -r*p + 6. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/3)\/4)\/((-48)\/168).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4494\/147*(-49)\/28)\/1*2.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - 55\/(-15). Let i = k + -1. Let y(m) = 2*m**2 + m - 2. Calculate the remainder when 37 is divided by y(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -12*w**2 + 4. Let y(o) = 5*o. What is u(y(k))?\nAnswer: -300*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**3 - 4*z**2 - 624*z + 1259. Determine g(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/7398 and 59\/28190490.\nAnswer: 253714410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as 741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 578309, 578310, 578311, 578312, 578313, 578314?\nAnswer: 578315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (300\/(-250))\/(3\/20) - -17\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 646*x + 15*x**3 + 455*x - 52 + 98*x - 26*x**4 + 52 wrt x.\nAnswer: -312*x**2 + 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 482*r + 106*r - 79*r + 107*r to the form b + c*r and give c.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/18))\/m**(-1\/2))\/(m**(2\/5)*m**(-12)) assuming m is positive.\nAnswer: m**(587\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 470\/9991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3. Suppose 3*j - 4*j - 4 = 0. Let i = 36 - 34. Let m(z) = 1133*z - i + 6 - 1132*z. What is j*u(s) - 3*m(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/(f**(-1\/3)\/f))**(-6\/29)\/((f**(-4)*f)\/(f**(-6)\/f*f)*(f\/f**(-1)*f)**(-1\/15)) assuming f is positive.\nAnswer: f**(-326\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 464 (c) 24 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 17*i - 7833 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-25 - (-32 - -12 - -12)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r**3 - 4*r**2 + 1. Let m(l) = 7*l**3 + 5*l**2 + l - 2. Let n(v) = -5*m(v) - 6*x(v). Let d be n(3). Let w = 14 - d. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**5 + 27790*v**4\/3 - 184795*v**3\/3 + 120040*v**2 - 276940*v\/3 + 73840\/3 = 0.\nAnswer: 2\/3, 1, 4, 1846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 6*a + 8. Give s(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-18336)\/(-2865)*(-75)\/6\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 440*z - 43 wrt z?\nAnswer: 440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 9:23 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 0*y - 5\/3*y**3 + 0*y**2 + 7. Let n(p) = 1519 - 1519 + 10*p. Calculate x(n(k)).\nAnswer: -500*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q**2 - 2*q**2 - 3*q**2 + (-353*q + 180*q + 161*q)*(3 - 3 - q))*(-q + 1 - 1) as i*q + d*q**3 + v + c*q**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -19*g - 76. Let n(p) = 28*p + 114. Let y(r) = -7*a(r) - 5*n(r). What is the remainder when y(-11) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:22 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v**3 + 10*v**3 - 9*v**3 + (-140*v + 52*v + 71*v)*(4*v**2 - 5*v**2 + 3*v**2) - 3*v**2 + 3*v**3 + 3*v**2 to q*v + r + p*v**2 + f*v**3 and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2*a = 2*a + 20, -3*h - 5 = a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/679 (b) -0.3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (20 - 47) - (-3 - (-8 - 3)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541679 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 21*y**2 - 21*y - 13. Determine i(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 3 + 3)*(-h + 0*h + 0*h)*(-3 + 3 - 2*h).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 8*m**2 + 9*m + 6. Calculate the remainder when 56 is divided by l(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.2998 decades in months?\nAnswer: 114875.976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u + 102. Let v be t(-17). Suppose -5*d - 3*s + 565 = v, 6*d - s = 10*d - 445. Is 108 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 38. Let w(v) = -2*v. Determine t(w(f)).\nAnswer: -6*f - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 162*n - 82*n - 51*n**2 - 82*n in the form j + m*n + f*n**3 + d*n**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -79 - ((-20 - -9) + 36)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -244, -335, -422, -505?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 618*q**2 - 18000*q - 48384.\nAnswer: 2*(q - 336)*(q + 3)*(q + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*b - 6*b. Suppose 0 = 2*d - d. Factor 1\/2*r - 1\/2*r**3 + d*r**b + 0.\nAnswer: -r*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146 (base 16) to base 3\nAnswer: -110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -1) + -2 - (-79 + (20 - 9) + -2)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 11*d**3 - 5*d**3 + (0*d + 0*d + d**2)*(-3*d + 2*d + 2*d) + 5*d**3 + 4*d - 4*d in the form m*d**2 + r + u*d**3 + c*d and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 725.56\nAnswer: -2902.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -27*r + 22. Let k(p) = -23*p + 22. Give -4*k(f) + 3*l(f).\nAnswer: 11*f - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/84*5*36\/(-30)*8. Which is the nearest to -2? (a) -0.3 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7235)\/8682)\/((-2)\/(-12)*900\/(-8))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = -6. Suppose -u*d + 15 = -25. Calculate the highest common factor of d and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 42 - 68)*(0 + l + 0)*(2 + 2 - 1).\nAnswer: -306*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63 - 4*(-1)\/1?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1141151423 - 1?\nAnswer: -1141151424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*v + 21 + 4 = 3*k, 272*v - 139*v + 38 = 4*k + 138*v for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 3*l - 4 + 28, -4*l + 59 = 3*h. Let x(d) = -5*d - h + 13. Let q(k) = 0*k + 3*k - 2*k**2 - 3*k. What is q(x(t))?\nAnswer: -50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19247 is divided by 275.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*87.\nAnswer: 43.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-8\/9))**8 assuming y is positive.\nAnswer: y**(136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.56, 0.3, 2\/17, 0.5, 2, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 1392 = 10*j. Calculate the lowest common multiple of 27 and j.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 687767.0159 + -687958. Let c = -3.32 - 187.68. Let d = g - c. What is d rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2124 - 2169 - (-1 + -85)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*a - 3*a**2 + 0*a**2 + 0*a**2.\nAnswer: -3*a**2 - 90*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -89 (b) -0.4 (c) -1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 8:50 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8840, 17678, 26508, 35330, 44144, 52950, 61748?\n\"Answer: -4*g**2 + 8850*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:29 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v - 99 + 99 + 699*v**3 + 181*v**3 as g*v**2 + d*v + m + x*v**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (2\/1 + -4). Let q = 3.138 + -0.138. What is the closest to 2\/5 in c, 2\/5, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57971499.\nAnswer: 3, 41, 471313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/186 and 4\/1281.\nAnswer: 79422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.0541 (b) -4 (c) 4\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072373728 to five decimal places.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201443 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 3063253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 + -82. Calculate the remainder when 49 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2293173*k**4 - 227119?\nAnswer: 9172692*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**4\/24 - 2*b**3\/3 + 7*b**2. Let k = 176 + -106. Let g = 74 - k. Give r(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3361, 3349, 3323, 3277, 3205, 3101, 2959, 2773?\n\"Answer: -q**3 - q**2 - 2*q + 3365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -37*w - 257. Let j be m(-7). Solve 4*p + z = -8, -2*p - 3*z - 2 = j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - 2. Let c(o) = 33*o**2 + 269*o + 37. Let h be c(-8). Sort h, f, 1 in decreasing order.\nAnswer: 1, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -97*d + 463. Let j be z(-43). What is the highest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -18*r + 248. Which is the biggest value? (a) -4\/3 (b) r (c) 5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 5452?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 6. Let q(j) = 41*j + 26. Let n be q(8). Suppose 4*x + p = 0, 0*x - n = -2*c + x. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (57\/6)\/((-3)\/(-6)). Let p = n - 17. Solve 7*b = p*b - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16.386 and 0.4.\nAnswer: 16.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13525 + -2?\nAnswer: 13523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0 - 5, 3*o - 3 = -3*p. Let x(u) = u**2 - 3*u - 3. Calculate the remainder when 59 is divided by x(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8959 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 1. Let j be q(2). Let i = 216 + -218. Is i equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*d - 2 = 5*b - 292*d, 2*b - 5*d - 34 = 0. Let r = 67 - 37. Put r, b, -3 in descending order.\nAnswer: r, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(475) + 2))**2 - 2*1*(sqrt(475) + 0).\nAnswer: -10*sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -4\/9 (c) -2\/17 (d) 130.68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 j, and 1 c when three letters picked without replacement from {y: 1, w: 1, j: 2, c: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 132, 487, 952, 1545, 2284, 3187, 4272, 5557?\n\"Answer: 3*a**3 + 37*a**2 + 223*a - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + k + 5. Let p be h(0). Suppose -p*o = -324 + 14. What is x in 5*x**3 + o - 62 + 5*x**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - i + 54 = -10*q, 5*i = -1076*q + 1080*q + 25 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32086420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 11:53 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43124.\nAnswer: 2, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 10*n**2 - 15*n - 5. List the prime factors of m(-11).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*t + 71*t + 65*t as l + o*t and give o.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ab (base 14) in base 13?\nAnswer: 32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 5*m - 3*m - 88, 2*l - 47 = m. Let b = l - 5. Let s be (-10)\/(-6) - (-7)\/b. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -192 greater than -191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 40. Let q = z + -21. Is q at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -53. Let k(l) = l**3 - 5*l + 10. Let a be k(5). What is the greatest common factor of a and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3618 + -130743191679.\nAnswer: -130743195297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4333 (base 13) in base 6?\nAnswer: 111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 274, 278, 282, 286, 290, 294?\n\"Answer: 4*p + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9934661*i**4 + 76729888*i**2 wrt i.\nAnswer: -238431864*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) + 1 + sqrt(180) - (-1*sqrt(500) + sqrt(500)))*-1 - (sqrt(45)\/(sqrt(54)\/sqrt(6)) + 3)*3) + -1)**2.\nAnswer: 330*sqrt(5) + 1246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*t + 2. Suppose -3*n = 3*v - 18, -5 = -t*n + v + 4*v. Let y be ((-1)\/1 - (0 + 0))*0. Solve 5*a - r - 8 - 2 = 0, y = -n*r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2468886 plus -567?\nAnswer: -2469453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 4417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from psrrvrdrsrpr. Give prob of picking 1 d and 3 r.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 - 0.05. Put u, -3\/2, -2 in ascending order.\nAnswer: -2, -3\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -557 - -556. What is the closest to c in 2, -2\/7, -5, 41?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {k: 1, x: 3, o: 11}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1547 and 3757?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1174473 = 9*t + 18*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90306.76 litres in millilitres?\nAnswer: 90306760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44731\/32 + 1398. What is the common denominator of n and 19\/18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from wabbawwbbwwa?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36293157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 - -90. Let u = b + 74. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-35))\/(112\/98)*0. Put b, -385, 1 in descending order.\nAnswer: 1, b, -385","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6919*j**2. Let g(d) = 7*d**2. Calculate g(o(a)).\nAnswer: 335107927*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2415 + 2415.00001274. Round y to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {d: 1, w: 1, s: 1, q: 1, l: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + (0 - (6 + -6 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 6. Let z be w(2). Let t be -2 + 60\/25 + 296\/z. Let x be (3\/(0 + 6))\/((-3)\/(-1980)). What is the highest common factor of x and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -23, -23, -31, -53, -95?\n\"Answer: -q**3 + 5*q**2 - 6*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/(2\/(-12)). Let v = w - -7. Let t be (0 + -2)*(v - 2). Which is the closest to 0? (a) 5 (b) t (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-5 + (-3 - -6))) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-6)*(-42)\/4620*-55*(11 + 1)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o + 9. Let r(q) = -q. Let p(f) = -f + 4. Let s(k) = p(k) - 4*r(k). Suppose 2*b - 8 = 4*b. What is b*c(h) + 9*s(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7. Let r(i) = -i**3 + 8*i**2 + 9*i - 2. Let m be r(9). Let x(d) = -3. Let c(k) = m*n(k) - 5*x(k). Let h(l) = -2*l**2 - 4. Calculate 4*c(g) + h(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 14. Calculate the least common multiple of v(-4) and 8\/(-6)*18\/(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -53*q. Suppose c = 3*c + j - 1, -4*c - 19 = -5*j. What is the tens digit of w(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/13 + (-195976)\/24752 and -41\/896.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128253\/8 - -16023. Find the common denominator of -1 + (-292)\/1216*-5 and g.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.4 (c) 40 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(475) + 3.\nAnswer: 3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2, -3*u + 74 = n + 67. Solve -5*k - 23 = 3*l - 9, n*k = -4*l - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222556 - 704583\nAnswer: -482027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 9:20 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-400)\/300*(-6)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + b. Let s be j(-2). Let p be 6 + -1 - 1 - 1. Let k(v) = -5*v**3 - v**2 + 6*v**3 - 2 - p*v**2. Determine k(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1019726218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 - 71 - (13 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26771*i**3 + 7*i**2 + 2*i - 40232095.\nAnswer: -80313*i**2 + 14*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107414244 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 62704696 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5 + 6)*(-3*b**2 - b**2 + 3*b**2) + 6 - 2*b**2 + 13 + 2*b - 16.\nAnswer: -6*b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 12, -26*g + 340 = -22*g + 4*k. Is g a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**27))*b*b**(-2\/79))**(-18) assuming b is positive.\nAnswer: b**(-41202\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 52*m**3 + 320*m**2 + 4*m - 5. Determine k(-6).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 5*f - 2745. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (28\/174)\/((-100)\/150) and -17\/5.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 9 + 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h**2 - 3*h + 2. Let u(c) = -c**3 - 2*c**2 + 1. Calculate i(m) - u(m).\nAnswer: m**3 + 10*m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.15578 and 0.5?\nAnswer: 0.57789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 495 + -491. Solve -2*s - s = -v - 7, r*s - 41 = -5*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, x: 3, f: 4, u: 8}. What is prob of picking 1 x and 1 u?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (1 + 5\/4). Let y = 10.18 + -0.18. Which is bigger: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -13*h**3 + 25*h + 8. Determine v(-5).\nAnswer: 1508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7)*r**(-7)\/r)**(-14) assuming r is positive.\nAnswer: r**116","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 u, and 2 y when four letters picked without replacement from {e: 1, u: 1, d: 1, y: 2, n: 2, b: 11}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1581?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 985310407 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -11*j**6\/120 + 17*j**3\/3 + 5*j**2 - 3*j. Differentiate t(q) with respect to q.\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 18. Give g(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -3\/2*v**2 - 2*v - 39*v**4 + 0*v**3 - 22. What is the tens digit of j(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978810 is divided by 131?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 816420 + -9013876\/11. Let g = 3021 + w. Find the common denominator of g and (-4)\/10 - 481\/10.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**4 + 708*y**2 + 1447*y wrt y.\nAnswer: 12*y**2 + 1416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/((y**(-5)\/y)\/y*y*y)*y)**(-16)*(y**2)**30 assuming y is positive.\nAnswer: y**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -241*s**2. Let t(c) = 6*c**2 - 4*c - 3. Calculate t(d(g)).\nAnswer: 348486*g**4 + 964*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1195 - 1187 - 16*c + 2387)*(2*c + 2 - 2 + (-5 + 2 + 0)*(0*c + 3*c - 2*c)).\nAnswer: 16*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1660116 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 7*k - 7. Let g be u(-5). Let w be (g - (1 + -1)) + 3. Solve 4*v = -2 - w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195\/(-2)*(-40)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2. Let l(n) = n - 5. Let y be l(6). Suppose -4*o + y = -5*x, 5*x - 2 = 2*o + 5. Let m(b) = x*b - 4 + 4. Give m(v(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(-32)*((x\/x**0)\/x)**28)\/(((x\/x**(-7))\/x)\/(x*x**(-5\/4)*x))**(2\/63) assuming x is positive.\nAnswer: x**(-4057\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21414663 (base 7) in base 6?\nAnswer: -103204203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1149 - 590. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u)\/u**(-2\/5))**(-1\/27)\/((u**0)**(-28))**(17\/6) assuming u is positive.\nAnswer: u**(13\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1262 - 1262 - 355*f.\nAnswer: -355*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15)*5\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22356\/1449 - 2*18\/4 - 6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 5*v - 30, -125 + 114 = j + 3*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 2232.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 40. Let g(k) = 36*k - 7*k - k**2 - 29*k. Determine z(g(p)).\nAnswer: -2*p**4 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21.31432 years?\nAnswer: 0.2131432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 366450937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 742*i**4*m + 11*m - 10 with respect to i.\nAnswer: 2968*i**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 417852 and 1595196?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q - 5 = d, -2*d - 5*q - 8 = 0. List the prime factors of 43 - 8\/4*d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((273\/52)\/7)\/(9114\/(-496)).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75347 + 137166. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 437644 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 366570367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459 and 1413618.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*h - 0*h. Let b = 114 - 109. Calculate the lowest common multiple of h and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvy when three letters picked without replacement from zqyrqrqrqzzrvqrv?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4 - 11. Let c(b) = b**3 - 2*b**2 - 2*b + 1. Let f(j) = -j - 4. Let h be f(-4). Let t be c(h). What is the third smallest value in -2\/7, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-25)\/(-1))\/(-5))\/(-1) - 1. Solve -y*k = -17 + 25 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -23.3265?\nAnswer: 16.32855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 + 162.1. Sort -3, -2\/11, g, -1\/5 in ascending order.\nAnswer: -3, -1\/5, -2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 5454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 28*y**5 - 18640*y**4 + 2875788*y**3 + 3760376*y**2 - 4960496*y - 1657056 = 0.\nAnswer: -2, -2\/7, 1, 246, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2449*j**4*t**3 + 11*j*t**3 + 5*j*t + 12*t**3 wrt j?\nAnswer: -29388*j**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (3 - -6) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4535 + 4535. Which is the nearest to 13? (a) 2\/7 (b) q (c) -0.04 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1222268628 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 59. Let w = f + -4. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 456715000 to the nearest one million.\nAnswer: 457000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-4)\/(60\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 0.1263.\nAnswer: 2.8737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (-5 + 6*(3 + sqrt(275)))*-4 + 1)**2.\nAnswer: 11520*sqrt(11) + 160704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6223, 6125, 5859, 5341, 4487, 3213, 1435, -931?\n\"Answer: -14*m**3 + 6237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {p: 2, d: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13435648*i**3 + 68*i - 25965.\nAnswer: 80613888*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 7:44 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31775 = 60*v + 145*v. Let s(z) = -5*z - 7. Calculate the remainder when v is divided by s(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r**2 - 881*r - 3. Let j(o) = -5*o**2 - 884*o - 2. Determine -3*j(m) + 2*w(m).\nAnswer: m**2 + 890*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -r - 2. Solve 2*n - 6*n - 4 = r*s, 3 = 2*n - 3*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.93614162 rounded to three dps?\nAnswer: 6.936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztz when three letters picked without replacement from {t: 1, n: 2, z: 4, g: 5, u: 5, v: 3}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 313 + -175. Let j = d + -137.6. Put 5, -0.02, -0.3, j in decreasing order.\nAnswer: 5, j, -0.02, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 994*x**2. Let o(h) = 218*h. Calculate n(o(z)).\nAnswer: 47238856*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 - 16*x**4 - 84*x**3 - 136*x**2 - 94*x - 24.\nAnswer: 2*(x - 12)*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 426 + -425.999999797. Round q to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/63 + (-124)\/(-9). Is 15 a factor of 8 - (-2149)\/w*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4457*f + 174. List the prime factors of c(1).\nAnswer: 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 20*m + 19. Calculate o(10).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3262*r + 3266*r + 4*i = 108, 4*r = 21*i + 208 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2. Suppose 24*t + 4*s + 6 = 27*t, -5*t = s - 10. Let o(b) be the second derivative of -6*b + 0*b**t - 2\/3*b**3 + 0. What is o(r(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 902737011 to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 664073027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -462 or 215?\nAnswer: -462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m + 4. Let g be q(4). Let i be ((-18)\/(-12))\/(3\/16). What is the tens digit of i*2\/(g\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 6*i**2 - 7*i + 3. Let k be q(4). Suppose 6*x - 31 = -13. Let j = -27 - -30. Solve f + 3 + j = -2*r, x*f = 5*r - k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 2*j. Let a be f(0). Suppose a = u - 6 - 81. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*h + h = -375488, h + 300397 = 4*m. What is m rounded to the nearest one thousand?\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - a - a + (2*a + a - a)*(-3 - 2 - 1))*((-52 + 14 - 66)*(12*a**2 + 10*a**4 - 12*a**2) + (-3 + 1 + 4)*(1 - a**4 - 1)).\nAnswer: 11462*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 4*n**2 + 7*n + 1. Suppose 0*k = k - 4. Suppose -r = k*r - 30. Calculate the remainder when s(5) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00045172 rounded to six decimal places?\nAnswer: 0.000452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 731752, 1463497, 2195242, 2926987, 3658732?\n\"Answer: 731745*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 10*f + 8. Let t be w(-6). Let y = 1 + -3. Sort -5, t, -10, y.\nAnswer: -10, -5, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {n: 1, x: 1, a: 1, w: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40521\/8 - -5055. Calculate the common denominator of b and -61\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q. Let w(y) = 531360*y + 4. Determine w(h(z)).\nAnswer: 3188160*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 891 divided by 3\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -9. Let j be 4\/s - (-140)\/6. Suppose -4*h + 2*h + 2*f = -16, -3*h + 5*f = -j. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35012? (a) 0.2 (b) -0.3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1478 + a1b?\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -64, -98, -132?\n\"Answer: -34*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 83a + 3636a?\nAnswer: 36ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o - 5*m, 0 = o - 4*m. Suppose y + y - 6 = o. Suppose -25 = -y*a - 2*a. Solve -2*b - 2*c + 12 = -7*b, 36 = -4*b - a*c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1104 - -2235\/2. Let t(f) = -4*f - 24. Let n be t(-7). Suppose -n*h + 26 = -34. Do h and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181375 to the power of 1\/2, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/3*(-3)\/(-4). Let k(b) = b + 3. Let l be k(o). Let j = l + 7. Solve j + 7 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3804459 a multiple of 843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -87\/154 in 0.05, 0.3, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9233*w**2 - 17*w - 17. Let y(g) = -3075*g**2 + 6*g + 6. What is -6*h(l) - 17*y(l)?\nAnswer: -3123*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 439*q + 97. Is m(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 f when three letters picked without replacement from frfycdee?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1153\/35 - -264\/35. Let n = -25 - d. Which is the third biggest value? (a) 0.2 (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -0.1. Let s = w - 1.6. Let u = s + 1.4. Put -2\/5, u, -5 in descending order.\nAnswer: u, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, h: 5}. Give prob of sequence hzz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzuuzzuzeuuzuuzx. Give prob of picking 1 x and 3 u.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 10*x**2 - 49*x - 6. What are the prime factors of z(-19)?\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l = -8. Solve -s + 3 = l*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**5\/20 - r**4 + r**3\/6 + 4*r**2 - r. Let b = -21528 + 21516. Determine v(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -16. Let s(h) be the first derivative of -5*h**c + 2*h**2 + 3*h + 3 - 5*h - 4. Differentiate s(w) with respect to w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/258634 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343437*x**2 + 114472*x**2 + 7 - 16 + 9 + 114473*x**2 + 114480*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 47 = -9*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**3 - 5*v**3 + 2*v**3 + (-3*v**3 + 2*v**3 + 2*v**3)*(3 - 2 - 3) to the form f*v**2 + y*v + i*v**3 + b and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chc when three letters picked without replacement from hch.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -18, 0.3, 0.2, -2\/67, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41375881343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*l. Suppose l*z - 5*z + 5*h = -10, -3*z = -4*h - 6. Suppose -z*x = x + 105. Round x to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 38376.\nAnswer: 1\/2952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -6*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, -86, -190, -326, -488, -670, -866, -1070?\n\"Answer: x**3 - 25*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 9:55 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-8)*(-28)\/(-7))\/(52\/(-78)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/((t\/t**(3\/7)*t)\/t))\/t)\/t**6)**(11\/7) assuming t is positive.\nAnswer: t**(-429\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 443 (base 14) to base 7\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -480, -0.2, -2, 46, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 24090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3\/3 + 16*k**2 + 56*k - 1568\/3 = 0.\nAnswer: -14, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m - 86 = -2*g, 0 = -g - 5*m + 22. Suppose 27 = 8*f - g. Let j(i) = -2*i + 3 + 4 - 3. What is j(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(6\/10)\/((3108\/(-56))\/(-37))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3302550 and 330255.\nAnswer: 3302550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*v = 18, -3*w + 5*w = v. Solve 0*p + 6 = -w*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-80) + (-6)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -10.1\nAnswer: 0.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1352480?\nAnswer: 2, 5, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*(sqrt(5) + -2) + sqrt(45)\/(sqrt(900) + (sqrt(900) - -1*sqrt(900))))*2.\nAnswer: -899*sqrt(5)\/15 + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 13*t + 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 - 3295*m\/3 + 13132.\nAnswer: (m - 3283)*(m - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - y + 2. Let g be (7 - (7 - -2)) + (-8)\/(-2). Give c(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(209)\/sqrt(99) + -3 + sqrt(57)\/(sqrt(12)\/sqrt(4))*-3 + -2)**2.\nAnswer: 16*sqrt(19)\/3 + 1225\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/3 + (3 - 3). Suppose -2*z - z = -3*f - 636, -g*z = -3*f - 427. Suppose -5*h - 29 + z = 0. Does 30 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 4 - 4)*(2 - 2 + u) + 0*u**2 - u**2 - 2*u**2 + 1 - u**2 - 1.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 20 - 10 = 0. Solve 5*y + 0*y = 4*u + 23, 0 = y - u - g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -30. Suppose -4*v = -j - 6, 4*v - 7 = 5*v + 4*j. Solve r*k + v = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34101 divided by -4?\nAnswer: -34101\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 100175.67644 to the nearest ten.\nAnswer: 100180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*c - 5 = 1637, c = 5*k - 8168. Suppose k = 2*h - 1437. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 1181*v - v**3 - 6*v**4 - 4 - 1181*v to s*v + u*v**3 + c + y*v**2 + h*v**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 133724467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, -27, -16, 29, 120, 269?\n\"Answer: 2*s**3 - s**2 - 22*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 - 20*p - 15. Let g be s(-6). Let h(b) = -b - 3. Let w(k) = -1. Let r(d) = 1. Let n(j) = -7*r(j) - 5*w(j). Give g*n(q) + 2*h(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(-5*(sqrt(119)*3 - sqrt(119)) - sqrt(119)))\/(sqrt(14)\/(sqrt(8)*-4)).\nAnswer: -264*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**7\/840 + 7*k**6\/360 + k**5\/15 - 2*k**4\/3 + 2*k**3\/3 + 23*k**2. Let l(r) be the first derivative of d(r). Factor l(w).\nAnswer: (w - 1)*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11384 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9) - (-26)\/(-48)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9157848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96580\/273 - -4552\/13. Calculate the common denominator of -65\/13023 and m.\nAnswer: 91161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.09 (b) 0.01 (c) -168 (d) -5 (e) -3\/5 (f) 2\/227 (g) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -425*z**5 + 104992*z**3 + 2596*z + 6501.\nAnswer: -8500*z**3 + 629952*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1319587?\nAnswer: 29, 45503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-7))\/((-230)\/3220*(-4)\/(-4)*1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -8, -4*n + 60 = -2*x + 7*x + 78 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327442944 to the nearest integer?\nAnswer: 18095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 17*v - 111. Determine z(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crscccscssrrs. What is prob of picking 1 c and 1 s?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 59 = -21. Suppose z = -f + 5*f. Suppose 5*l + 24 = 2*r, -3*l - 3*r = -2*r + f. Do -4 and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 13) in base 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -494 (base 14) to base 3.\nAnswer: -1020212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.39 (b) -0.5 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 253307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**3\/6 + 3*g**2 + g. Let j(w) = -3*w - 12. Suppose -4*k + 4 = -2*k. Let x(d) = k*j(d) + 5*u(d). Calculate x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1030510*a = 1030495*a + 615 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 10*i + 2. Calculate the remainder when 86 is divided by r(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/7 - 58457*z**2 + 41860750800*z\/7 + 41861160000\/7.\nAnswer: (z - 204600)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -58. What is the tens digit of 2 + -2 + (-340)\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 418616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.733 - 1.335. Let h = 1.169 + m. Round h to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**3\/3 + 92. Let v(t) = 3*t**2 - 7. Give v(x(n)).\nAnswer: 3*n**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -9 in ascending order.\nAnswer: -9, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -179*n**3 + 52 wrt n?\nAnswer: -537*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*a - 0*h + 383, -3 = 3*h. Suppose -3*x - q = -58, -20*x = -25*x - 3*q + 98. What is the highest common factor of x and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 0*v - 5*v + v - 2*v. Let b(y) be the second derivative of 0*y**3 - 3*y + 0*y**2 + 0 + 1\/12*y**4. Calculate b(l(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*d*p**3*r**3 + 5*d*p**2*r**3 + 2*d*p + 38*d*r**3 + 4*p*r**3 wrt p.\nAnswer: -180*d*p*r**3 + 10*d*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 26 - 4. Let b be (0 - (-3)\/(-2))\/(q\/296). Let m = b + 28. Calculate the greatest common divisor of m and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/180 and -91\/4140.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*g - 1420, 4240 = 6*c - 3*c + 2*g. Suppose 0 = -19*j + 9*j + c. What is the remainder when j is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*(-2 - 52\/(-16)). Let a be ((-1)\/(-5))\/((-3)\/y). Let f = 7 + -3. Solve 5*b + 1 = -f*w - a, -14 = -5*w + 2*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*a**2 + 11*a**2 + 1 - 41)*(1 - 1 + a).\nAnswer: -a**3 - 40*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - -68 - (235 + 5)\/(-24)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/2 + 123858*p**3 - 8421477*p**2\/2 + 35790049*p.\nAnswer: -p*(p - 247682)*(p - 17)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (8 + -18 + 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602668622944*t - 602668622944*t - 8*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2001 + -1131?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 921, 0, 3, -1 in descending order.\nAnswer: 921, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**21)\/(q\/q**(-7\/8)) assuming q is positive.\nAnswer: q**(-175\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -149, -343, -615, -965, -1393?\nAnswer: -1899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 122. Suppose k = 5*q + 489, -q = -0*k + k + x. Let i = q - -251. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*s - 5 + 12, -2*y - 3*s = 0. Let g(c) = -c**3 + 6*c**2 - 14*c + 79. Let a be g(6). Sort 0, a, y, 6 in increasing order.\nAnswer: a, 0, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -257*q**2\/10 - 16049909*q\/10 - 62451\/5.\nAnswer: -(q + 62451)*(257*q + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(65) + (sqrt(65) - (-4*sqrt(65) - sqrt(65))*5)))\/(sqrt(405)*-2*-2).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 3*h**2 - h + 1. Suppose 2*y - 5*v + 1 = 0, 5*y - 23 = -5*v - 8. Let x be m(y). Suppose -5 + 3 = t. Put 4, t, x in increasing order.\nAnswer: t, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccfcffcffccf. Give prob of sequence cf.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k*k**(1\/4))\/k)\/k)\/(k**(-2\/11)*k)*(k**3*k)\/(k\/(k\/(k**2*k)*k)*k) assuming k is positive.\nAnswer: k**(63\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3717\/(-1947))\/(3\/22).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13875142 to the power of 1\/2, to the nearest integer?\nAnswer: 3725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c - 42. Calculate h(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 612 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 8:59 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 2*n)*(-29 - 27 + 54 - 19*n**3).\nAnswer: 38*n**4 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/19 in 0.4, -2, 13, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460682 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 219038160 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.26 and 211758703060.\nAnswer: 211758703059.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syhyoyhyhyynonhysn. What is prob of picking 2 o?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103013332 + -2102?\nAnswer: -103022100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26800965?\nAnswer: 3, 5, 595577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 16\/6949?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/9, -15, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 5:23 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1298*l + 2088 + 4332 + 5590 = 1626 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21959599 or -21959617?\nAnswer: -21959617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4040250946?\nAnswer: 2, 41, 49271353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -583 - -576. What is the tens digit of -2 - (-522 - (c + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by -7*6\/189 - (-184)\/18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 1:48 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 60 = -24 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 76 = -5*w - 21, 2*w = q + 13. Let b be ((-26)\/4)\/(4\/8). Let d = b - -25. What is the lowest common multiple of w and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4837894 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 161 - 45 - (9 + -30 - -16).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) 2 (b) 4 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.51025 + 0.02405. What is n rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k - 66*k + 40 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*l + l + s, -l = -5*s + 14. What is the units digit of 0 + (-1)\/(l\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/(1\/8). Let n(w) = -310*w + 17667. Let z be n(57). Sort z, 2, 3, a in increasing order.\nAnswer: a, z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -34. Suppose -10*q - 20*q + 270 = 0. What is the smallest common multiple of h and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/8, 0.1, 22, 2.1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66*o**3 - 8974*o**2 + 2112158 wrt o.\nAnswer: -198*o**2 - 17948*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7623488?\nAnswer: 2, 23, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.51? (a) 0.2 (b) 0.1 (c) -1\/5 (d) 51 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 + 37. Is 140 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -8*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114.592 + -193.04. What is g rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50461\/6 + 8390. Which is smaller: y or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 43*s + 1073. What is w(-27)?\nAnswer: -1546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0566 + -0.5566. Which is the nearest to -1? (a) -14 (b) -1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27054836.\nAnswer: 2, 6763709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3861898 (base 10) to base 13\nAnswer: -a52a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 8. Suppose w*x = -2*h + 2, 4*h = -2*x + 8*h + 20. Let m(t) = x*t**2 - 2 - t**2 + 4. What is m(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 12461, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 11*p**3\/3 - 13*p. Let d(w) be the second derivative of w**4\/6 + w. Determine d(g(u)).\nAnswer: 968*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -34*q - 155 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12240)\/(-8568))\/(1\/2)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3228, -1\/3, 530?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 20*s**2 - 59*s + 132. Give h(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) 3 (b) -5 (c) -3 (d) 0.06 (e) 0.068\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -77, -83, -91, -101, -113, -127, -143?\n\"Answer: -s**2 - 3*s - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 2:53 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 4*u + 20 = 5*h, h + u = 4. Sort h, 0, -6.\nAnswer: -6, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 25. Suppose -5*y + h + 70 = -25, -3*h - 15 = s. What is the lowest common multiple of y and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = x + 2*p - 0*p, 4*x - 16 = -4*p. Suppose -3*r = -v + 6 + 2, -5*v + 1 = -2*r. Let d be (0\/v)\/(0 - -2). Solve 3*k = -d*k - x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 1. Let r be o(5). Suppose 0 = 3*k - 2*g - 219, -2*k - 135 = -r*k + 5*g. Let j = -2 + 21. Calculate the remainder when k is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1753*w + 1809*w - 3792*w + 11960 = 0 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 14555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/(-4)*(-40)\/(-12). What is the highest common factor of 30 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide -66 - -130 - (1*-3 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-70)*21\/(-9).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*i + 11*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**3\/6 + 7*w**2\/2 + 19*w. Determine b(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 4*b - 13 + 0 = 0, 416*m + 2*b - 6 = 418*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = 1000 - 984 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 47550\nAnswer: 3\/15850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-12 + 1)) + -5 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 5*x + 12*x)*(218*x + 753 - 753).\nAnswer: 1090*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 218816*v + 0 + 218816*v + 9171*v**2.\nAnswer: 9171*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-7) + (-5357)\/3080 and 43\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 - -3 - -5. Let o be (-2)\/g*(-8)\/(-3). Which is the closest to o? (a) 0 (b) -0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 5, 31, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1113202300132323 - -1?\nAnswer: -1113202300132322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3897 - -12677. What are the prime factors of d?\nAnswer: 2, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - -43) + 65 + -84 - -7) + -20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 10:47 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010006 rounded to five dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:39 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**8\/336 - 11*m**7\/210 - m**6\/24 + 11*m**5\/12 + m**4\/6 - 22*m**3\/3 - 22*m**2 - 17. Determine p, given that a(p) = 0.\nAnswer: -2, -1, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9669775 to the power of 1\/2, to the nearest integer?\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 1410.8.\nAnswer: -1411.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 10. Let x(r) = -r**2 + 6*r - 2. Let d be x(5). Suppose 3*s + 3*g = 0, -s - 2*g = 2*s. Solve -3*w - 5*l = -s*w - 17, y = d*w - 5*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.32 + 108.62. What is n rounded to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/510*-4*(-20)\/((-4)\/1)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 1 + 0*k + 3*k. Let a(s) = s**2 + s + 2. Suppose 1 = z + v, 4*z = -0*z - 5*v + 4. Calculate z*o(n) - a(n).\nAnswer: -n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-10))\/(4\/(-20)). What is the units digit of (-10)\/r*((-1287)\/(-15) - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 20941.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*a + 5136570 = -170*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 4*r + 13. Is b(4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 3*g**2 - g - 1. Let a = -12 + 9. Let f be l(a). Solve 0 = -3*o + f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -16. Solve b = h + h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 2, -1501980, -5 in increasing order.\nAnswer: -1501980, -25, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {i: 1, c: 2, h: 2, e: 1, y: 1, m: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 divided by 2260713.\nAnswer: -95\/2260713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*v + 35 = -20, -3*d - 2*v = -8. Suppose 0*q = d*q - 3*q. Solve 7*k = 4*k + 5*s + 25, -5*k + 5*s + 35 = q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 9*d = 8*d. Let b be (1 + d)\/(5 - (-2 + 6)). Factor 0*u**2 - 2*u**2 + 8*u + 9 + b.\nAnswer: -2*(u - 5)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 23*u**2 + 89*u - 245. Determine y(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**3 - 3*i**2 - 12*i + 12. Give g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -38. What is the fourth smallest value in p, 0.5, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940916 is divided by 4825?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(175) + (sqrt(7) - sqrt(49)\/(sqrt(28) + sqrt(7))))*-4.\nAnswer: 172*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -23026\/19 smaller than -1212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 5:08 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 22302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 307, 1091, 2347, 4069, 6251, 8887?\n\"Answer: -f**3 + 242*f**2 + 65*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = v + 293, -4*m - 5*v + 3*v = -598. List the prime factors of m.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 159 and 6519?\nAnswer: 6519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 14*f**3\/5 - 17766272*f**2\/15 - 9306166*f\/15 + 1692028\/5 = 0.\nAnswer: -6\/7, 1\/3, 423007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17484343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 34 + 2*v + 5.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 1:33 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -5) + (-5)\/(5\/(-4)). Suppose -4*b + j*m = -5*b + 3241, 2*b - 6504 = m. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s. Let h(o) = -8*o - 8*o - 86*o**2 + 16*o. Give h(l(p)).\nAnswer: -344*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 584 = -3*r - 147, 2*r + 4*l + 494 = 0. Let z = -226 - r. What is the greatest common factor of z and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 + 0.42. Which is the third smallest value? (a) 3\/2 (b) g (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7012 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1458334 - 1822.6\nAnswer: 1456511.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7752 is divided by 7085?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - g + 0)*(-103 + 210 + 734).\nAnswer: -841*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, x: 1, v: 1, z: 5, l: 3, w: 2}. Give prob of picking 2 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2. Let k be 3 + ((-1)\/(-5))\/((-26)\/130). Let v(r) = r + 7*r**2 - 16*r**2 - 6*r**k. Give y(v(j)).\nAnswer: -225*j**4 + 30*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54464109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 10. Let u(w) = -w**2 + 7*w - 2. Let d(h) = -h**2 + 7*h - 3. Let m(k) = 3*d(k) - 2*u(k). Determine m(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 105, 112, 129, 162, 217, 300, 417, 574?\n\"Answer: q**3 - q**2 + 3*q + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 11:34 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -174, -288, -444, -642, -882?\nAnswer: -1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 2*v - 16 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (255\/(-153))\/(80\/1152).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 813400 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19, -42, -73, -112, -159?\n\"Answer: -4*b**2 - 11*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.213 and -13.9?\nAnswer: 2.9607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -97 + 334*a - 132*a + 97 in the form c*a + l and give c.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:01 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**6\/3 - 8*c**3\/3 + 7*c**2 + 57. Find the second derivative of f(g) wrt g.\nAnswer: 80*g**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*n - 27*n - 31*n - 25*n - 6 - 188*n**2.\nAnswer: -188*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**4 + 3*f**3 - f - 32 + 32 in the form h*f**3 + a*f + v*f**2 + t*f**4 + b and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - i**2 - 2*i**2 - 10 + 1 + i. Give o(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.0211 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5081*c*d + 26*c + 103 wrt d.\nAnswer: -5081*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1640 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 145, 131, 101, 49, -31, -145, -299?\n\"Answer: -l**3 - 2*l**2 - l + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ba7 + -9a?\nAnswer: -2c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55771, 55684, 55597, 55510?\nAnswer: 55423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 8*x + 252. Let u be (-9)\/x*16\/(-3). What is the closest to 2\/5 in -1\/6, -0.3, u?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287869037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41635.\nAnswer: 5, 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -9 + ((-2750)\/385)\/(165\/(-616))?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0715 rounded to one dp?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22990016 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164644042?\nAnswer: 2, 82322021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*v**3 - 64983*v**2 - 1150740*v - 738276 = 0. Calculate v.\nAnswer: -17, -2\/3, 7238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j\/(j**0*j))\/j*(j**(4\/11)*j*j*j*j)\/j assuming j is positive.\nAnswer: j**(37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005916037 rounded to six dps?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.1 - -21.1000039. What is s rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**6\/24 + h**5\/10 - 7*h**4\/8 - 11*h**3\/6 + 7*h**2 + h. Let c(r) = -r**3 + r**2 - 4*r - 2. What is -22*c(u) + 4*k(u)?\nAnswer: 2*u**3 + 2*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:55 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**4\/4 + 7*g**3\/3 - 3*g**2 - 7*g - 1. Let z(m) = 6*m - 1. Let v be z(1). What is the tens digit of h(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59004 or -1?\nAnswer: -59004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + 3 - (3 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 3. Let k be q(-3). Let f = -24150 + 316634\/13. Let z = f - 206. Is k less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 118364 and 4.\nAnswer: 118364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2321 + 3165. Solve n = -11*c + 756 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 2\/3 (c) -565 (d) -1\/7 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8052, -8056, -8062, -8070, -8080, -8092, -8106?\nAnswer: -8122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/18 and 31\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4154, 4156, 4158, 4160, 4162?\n\"Answer: 2*z + 4152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**6)*b**(3\/5)*b**1\/(b\/b**(2\/3)))**13 assuming b is positive.\nAnswer: b**(1417\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1716 divided by 572.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(5) + (sqrt(40)*2)\/sqrt(8) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 4*f - 6. Let u be b(5). Let v(h) be the third derivative of h**4\/8 - h**3\/6 + 8*h**2. Calculate v(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 27*t. Let w(j) = -4*j + 3. Let u(y) = y - 1. Let m(h) = -u(h) - w(h). Let n(a) = -a + 1. Let c(x) = -m(x) - 2*n(x). Give c(i(b)).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1896*r**2 + 2702*r**2 - 5947*r**2)*(-6 + 2 + r**2 + 2).\nAnswer: -1349*r**4 + 2698*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -4. Let n(q) = q**2 + 3*q - 1. Suppose 0 = 4*y + 4*t, 4*y - 4*t = -19 - 13. What is the smallest common multiple of n(y) and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2220 + -1281. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 25468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3. Suppose p - 5 + 0 = m. Let y = 20 - -10. Solve o + p*a - 30 = 0, -a + 0*a + y = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/8)\/((-13 + 7)\/12). Let i(b) = 3*b**2 - 5*b. Let q(r) = r**2 - r - 1. What is m*i(y) + 2*q(y)?\nAnswer: -y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8200*o**3 - 12*o**2 + 8265*o**3 + 531*o - o**4 - 351*o**2.\nAnswer: -o*(o - 59)*(o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s**2 - 20*s + 29. Let o(g) = -5*g**2 - 10*g + 14. Let n(x) = 7*o(x) - 3*v(x). Let b be n(1). Sort 0, 2, b in increasing order.\nAnswer: b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 3*m + 211 = -5*c, 3*m = 3*c - 324. Suppose -4*d = 4*n - 2*d - 76, 0 = -n - 5*d + 37. Calculate the remainder when c is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = -33*v + 18. Let p be (-1)\/((-2)\/4) + 134. Suppose 5*n = -3*x + 164, 4*n - p = 2*x - v*x. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 10*u + 18. Let a be l(-8). Solve -4*h = 2*d - 0*d - 14, a*d + 2*h - 6 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000468513 rounded to five dps?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -20*j**2 + 14*j + 6. Let r(q) = -10*q - 4814*q**2 + 5*q + 1 + 4821*q**2 - 3. What is 14*r(c) + 5*x(c)?\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-39))\/(-46*48\/(-14352))\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -337476 by -83.\nAnswer: 337476\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3114083.\nAnswer: 7, 444869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 56 = -2*h. Let x = 4 - 1. Solve -h + x = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21012220 (base 3) in base 7?\nAnswer: 21225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, g: 5, f: 4}. Give prob of sequence gfgp.\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 108 - 65\/3*b**3 - 55*b + 115\/2*b**2 + 5\/4*b**4. Factor u(t).\nAnswer: 5*(t - 11)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*k - 648 = 66*k. Calculate the lowest common multiple of k and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28392 divided by 3.\nAnswer: -9464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 33*r**2 + 54*r + 710. Determine l(-34).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12 + 13272\/(-144). What is the smallest value in 29, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 523, 1050, 1563, 2056, 2523?\n\"Answer: -b**3 - b**2 + 537*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3 + 2*m**3 - 8*m - 8*m**3 - 9 + 11*m wrt m.\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**2 + 4*n**2 + n**2 + (-n**2 - 3*n**2 + 2*n**2)*(0 + 8 + 0).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2898)\/(-36))\/23*(32\/(-14))\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -5*b**5\/4 - b**4\/6 + 5*b**2 + 65*b. Find the third derivative of t(m) wrt m.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(7 + 14 + 5 - k).\nAnswer: -k + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*f + 56*f - 4 = 0. Let h be 4 - (760032\/f - 4). Round h to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/3*14\/(-112) - (-6)\/(-45)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 68*n**3 + 26*n**2 + 6*n + 19. Is i(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t**2. Let x(f) = 13*f. Calculate x(n(k)).\nAnswer: 104*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -775*j**2 - 14. Let r be 25\/(-6) + (-3)\/(-18). Let i be m(r). What is i rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 919401 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 651 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 12, 1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, h: 11}. What is prob of picking 3 h?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, o: 1, n: 5, l: 2, j: 5}. Give prob of picking 1 o and 1 l.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * -62.\nAnswer: 2108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 + -3.93. Which is smaller: a or -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*46.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 - g. Let z be c(1). Suppose -2*y - 4*q - 4 = 0, z*q = -10 + 2. Let h(s) = -s**2 - 2*s + 5. Let b be h(-4). Put 0, b, y in decreasing order.\nAnswer: y, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584922214 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1254767\/4857 - 14\/1619. Let c = d - 7597\/30. What is the common denominator of c and -1*(-1 - (-4)\/9)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64324253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express (-16*a - 1 - 9 + 10)*(-7*a**2 - 6*a**3 + 7*a**2) as k*a**4 + c*a + x*a**2 + m + b*a**3 and give k.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-389440210875)\/(-3276) + 2 - (6 - 9). Let m = q - 118876757. Let p = m + 319\/52. Find the common denominator of p and -70\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*p - 355668 + 51136. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 14*w**2 + 13*w - 6. Let o be v(13). Sort o, 3, -3\/4 in descending order.\nAnswer: 3, -3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 17*f**2 + 7*f - 4. Suppose t = -g - 8, 8 = -3*t + 4*g - 3*g. Does 30 divide b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21384 - 0.28616. Which is the fourth biggest value? (a) 5 (b) -0.2 (c) s (d) -37.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, w: 10, b: 4, u: 1}. What is prob of sequence bus?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 242615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 3*u + 3. Let v(r) = 10*r**2 - r + 1. Let g be v(1). Let z = g + -7. What are the prime factors of w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 561196 and 4113.\nAnswer: 5050764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1359809590 to the nearest integer?\nAnswer: 36876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.26 - 31.26. Let w = j - -30.8. Let q = 3 + 1. Which is the biggest value? (a) q (b) -1\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12457, 24937, 37443, 49969, 62509, 75057, 87607?\n\"Answer: -v**3 + 19*v**2 + 12430*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 168093 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -130*u + 128*u. What is the smallest common multiple of 459\/(-18)*(4 - u\/15) and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*i + 369*i + 18305 = -382*i + 90185 for i.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + 463*h + 7960. Give s(-16).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*v - 449*v - 46*v.\nAnswer: -743*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 - (6 + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4703*q**4 + 1641*q**4 - 3082*q**4 + 4929*q**4 - 4 + 4 - 2*q**4 + (q + 2*q - 4*q)*(2*q**3 - 3*q**3 + 2*q**3) - q**2 + 2*q**4 + q**2.\nAnswer: 8190*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-63)*(-36)\/(-24)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/3, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*x + 20 = -6*x, -x + 3 = 0. Let g(z) = 90*z + 81. What is the hundreds digit of g(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22938 - -22937.94. Let j = -8 + 49\/6. What is the fourth biggest value in -2, j, 2\/5, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.5, 1\/137, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/6 + 67987*p**2\/3 - 2720080*p\/3 + 9067600 = 0. Calculate p.\nAnswer: -136014, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 27c?\nAnswer: 27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 + 31 = -30*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5441*q = 5434*q + 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*s + 2*h - 3*h, -3*s + h + 7 = 0. Solve -t - 12 = -3*t + 4*b, 0 = -s*t - 5*b - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 11*u = k + 4, u - 1 = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2\/7 + 32*w\/7 + 18 = 0.\nAnswer: -9, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9660\/4140 - (1 - 98\/(-6))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 478, 817, 1220, 1687, 2218, 2813?\nAnswer: 3472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735556011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 267414497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) -977 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-30))\/((-7397)\/17070)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/180*(-70)\/(-490)*-9.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + l. Let c be 2*(-2)\/4 - -2. Let x(w) = 4*w**2 - 5*w - 1. Determine c*x(n) + 5*o(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.65410746 + -1.65617. Round p to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 10*p - 417 = 7*p, -2127 = -5*l - p. Let r = l - 425. Is -2\/359 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/2082 and -59\/30?\nAnswer: 10410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-48)\/(-4)) + -3. Which is bigger: -15 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*q + 4178745*c**3 + 48*c*q - 2123*q wrt q.\nAnswer: c**3 + 48*c - 2123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m**2 + 56*m + 100. Give x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, -26, -55, -94, -143, -202, -271?\n\"Answer: -5*m**2 - 4*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**5\/60 + 7*v**3\/6 - 381*v**2. Calculate g(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43964295 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15595540 and 1645?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 147903677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 287*v**2 - 3*v - 45. What is i(-3)?\nAnswer: 2547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1560?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 145, 230, 333, 460, 617, 810?\nAnswer: 1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1141 times -0.2\nAnswer: 228.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 452903 + -16954423807\/37435. Let v = l + 49301927\/598960. Let m = -80 + v. Find the common denominator of 71\/3 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 336 = 12*g. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 69.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 5*j + 6*j - 2*j as n*j + u and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a**2 + 2*a + 2. Let s be g(-2). Let m = 567 - 588. Let h be (-30)\/m + (-24)\/s. Solve 2*w + 10 = -5*r, -3*r = h*w + 5 + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a + 290. Suppose 5*s - 50 = 3*m, -3*m + a = -8*m + 2*s. Is (9765\/m + 2)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -883077.\nAnswer: -883076.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 670983003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, z: 5, q: 1, m: 1, v: 5}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**3 - 4*a**2 + a + 8. Let y(s) = 5*s**3 + 3*s**2 - s - 6. Let k(n) = 4*w(n) + 5*y(n). Let j be k(1). What is the nearest to j in 0, -3, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5892432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1. Let s(r) = 2*r**3 + 21*r + 7. Give 5*h(m) - s(m).\nAnswer: -2*m**3 - 21*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 160, 19, -2\/13 in increasing order.\nAnswer: -5, -2\/13, 0, 19, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10.74334 or 1\/3?\nAnswer: 10.74334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10783 - -10812. What is the remainder when 556 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k*w**5 + 23*k*w + 2*k - 9*w**5 - w wrt w?\nAnswer: 20*k*w**3 - 180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - 3*c + c)*(-3*c + 5*c - 4*c + (3*c - 6*c + 2*c)*(3 - 2 - 3) - 3*c - c + 0*c) in the form r*c + s*c**2 + h and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4808*t - 67318. Determine h(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) -7379 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o - 44. Let t be a(8). Suppose 0 = q - t*k - 92, 0 = -4*q - 4*k - k + 473. Calculate the highest common factor of q and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(-1\/3))\/a)\/a)\/a)**(5\/7)*a**(-2\/25)*a\/(a\/(a\/a**8)) assuming a is positive.\nAnswer: a**(-4342\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(162) + 2*sqrt(162)*-3 + -2 + 1*sqrt(162) - (-4*(-2 + sqrt(162)) + sqrt(162) + -5 + sqrt(162)*-2 + sqrt(162))**2).\nAnswer: -7809 + 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 25, 2*d - 9 = -5*f - 28. Suppose 5 = m - 0. Solve -28 = -y + m*j, 4*y = d*y + 3*j + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11211626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 4:30 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -0.4 (c) -4683 (d) -2\/3 (e) 5 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 34*y**2 + 9*y + 9. Let s be k(-8). Let c = 13310 - s. Is c 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 81358123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 601, 124, 12 in descending order.\nAnswer: 601, 124, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1388, -2587, -3818, -5099, -6448, -7883, -9422, -11083?\nAnswer: -12884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -16. Let r be (-15)\/18*(-4)\/y. What is the smallest value in r, 0.5, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33348 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/36 and 61\/203232.\nAnswer: 609696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**3 - 267*r**2 + 184*r - 154. Is k(53) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 985*k**2 - 544*k**2 - 486*k**2.\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240850.078354 + -3648.\nAnswer: 237202.078354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0 - -1) + 18 + -14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-20)\/(-105)*14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 0. Let s = 219\/500 - -3\/250. Find the common denominator of (110\/6)\/(1 - q) and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18*-6 - 8\/(-12). Suppose d*h = 701 + 3. What is the highest common divisor of h and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 9*l - 9. Let p = -16 + 9. Let y be w(p). Solve -5 - 5 = -y*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210880 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2525 and 408445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 3527342.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 413409 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, y: 4}. Give prob of sequence yyyy.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, s: 1, k: 2, r: 2, q: 1, f: 7}. What is prob of sequence isq?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 - 3*h**2 + 5. Let w(g) = 3*g**3 - 2*g**2 + 4. Determine 2*j(i) - 3*w(i).\nAnswer: -3*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, -50, 5?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276916?\nAnswer: 2, 107, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/8, 3, 4, -5, -3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27112264457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**2 + 9*p**2 - 10*p**2 to the form o*p**2 + s*p + k and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 404 (base 8) to base 5\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 5*i - 235 + 245, -4*i = 5*d + 44 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6 - 116*n + 392*n - 1 - 1 to the form l*n + p and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 32*l**3\/3 + 3974. Let g(h) = h**2. Determine g(u(v)).\nAnswer: 1024*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let u(b) = -2 - 3 + t - b**2. Let i be ((-32)\/(-72)*-3)\/(4\/12). Let k(y) = 3*y**2 + 11. Calculate i*k(g) - 11*u(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/3)\/(-1) - -1. Let r = -347\/10 + 69\/2. Which is the nearest to h? (a) -0.3 (b) r (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 38\/3, -0.5 in descending order.\nAnswer: 38\/3, 1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -241797*g*p**3 - g*p**2 - 6*g + 80*p**4 + 6*p**2 + 8777 wrt p.\nAnswer: -1450782*g + 1920*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -430021, -430020, -430019, -430018, -430017?\n\"Answer: k - 430022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 49 = 4*r, 0 = -88*r + 85*r - 3*w + 57 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/16719?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2088\/(-290))\/(-6)*(-2)\/(-3))\/(6\/(-720))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*u - 6, 3*w - 15 = w + 5*u. Let x(r) = w + 0 + 2*r**2 + 1 - 3*r**2. Let m(s) = -7*s**2 + 2*s + 7. Give -m(b) + 6*x(b).\nAnswer: b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + 3) - (-47 - -36) - 25?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89628302568 + -0.3.\nAnswer: 89628302567.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/19236356 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*w - 1989*w - 1912*w + 74998 = -673*w for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17757 + -13984. Does 49 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 (base 14) in base 6?\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2345 is divided by 392?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1253120?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 9*b = -2*h + 12, -5*b = -2*h + 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x**2 - 2654*x + 2856 = 0 for x.\nAnswer: -84, 17\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 6*n + 4*n)*(0 - 2*n + 2 + 2).\nAnswer: -14*n**2 + 28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/15 - 5*s**4\/24 + 5*s**3\/6 + 143*s**2. Let i(g) = 1 + 5 - 7*g**2 + 2*g**2 - 6*g. Determine -5*i(o) + 6*q(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 57\/11 - ((-1350)\/(-165) + -8). What is the greatest common factor of 230 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let y(k) = -6*k**3 + 4*k**2 + 1. Let z(x) = 5*x**3 - 3*x**2 - 1. Let s(l) = 4*y(l) + 5*z(l). What is s(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*x - 0*x. Let i be -5 + x + 2 - -5. Suppose 0 = 4*a - 5*r - 11737, -5*r + i*r + 5864 = 2*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6 and -4552211.\nAnswer: -4552211.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 168185, 168186, 168187?\n\"Answer: m + 168184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2140543 - 12?\nAnswer: -2140555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/11 - 64*g**3\/11 - 6*g**2 = 0. What is g?\nAnswer: -1, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60.6 - 3.4. Let h = -60 - y. What is the smallest value in 5, h, 0.5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1346 - 828. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**2\/2 - 2*r + 37. Give j(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 180 = 3*z. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.761 + 0.179. Let u = 1.06 - 1. Let p = j + u. Is -0.1 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 h when three letters picked without replacement from eeqeqbhqhkqehq.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.506487767 to three decimal places.\nAnswer: 0.506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 265 - 257. Solve -b = -4*o + 3*m, 3*m = -o + 2*m - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 379756 by 3484.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/1865145 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 4 - -3) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2773224 is divided by 308?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 130. Suppose -5*v - 4*h + s = -30, 0 = 3*v + h - 70. Suppose -31*d - 8 = -27*d, -2*z + 52 = -d. What is the highest common divisor of v and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -80. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**7\/30 + 13*u**3\/6 + 15*u**2 - 25*u. Let d(g) be the first derivative of z(g). Find the first derivative of d(b) wrt b.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 660 = 14*z. Calculate the remainder when z is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177 times 241141?\nAnswer: 283822957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 less than -0.3953715?\nAnswer: -43.3953715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4883?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*d**3 - 2*c*d**2*t + 89*c*t - 4*d**3*t + 2*d**3 + 4*d**2 wrt c.\nAnswer: 2*d**3 - 2*d**2*t + 89*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-12)*-5)\/(42*40\/5040).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -35. Put n, -3, -2 in descending order.\nAnswer: -2, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3180*o**2*x - 36*o**2 + 183*o*x + 2361 wrt x.\nAnswer: 3180*o**2 + 183*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i**3 - i**2 - i - 3. Let j(f) = 6*f**3 + 17*f**2 + 17*f + 13. Let l(y) = j(y) + o(y). Give l(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -27*d**2 - d + 2. Let g be b(-2). Let y = 27 + g. Let p be (-4)\/(-22) + (-140)\/y. Let l(r) = 2*r - 3. Determine l(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 3:30 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 9:50 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) -1 (b) -0.8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*v**6 - 207058*v**5 + 48733018*v**2.\nAnswer: -9000*v**3 - 12423480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m + 6. Determine d(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -24. Let n(l) = -l + 3. Calculate n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 268, 2, -0.2 in descending order.\nAnswer: 268, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - p + 4*p - 50 + 0*p. Let j be l(0). Does 18 divide (-30)\/j - 354\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4207*o - 75. Is b(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 232 - 41. Let c = 196 - v. Solve -c = -5*p + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**3 - 3*q**2 + 2*q + 3. Let l be c(3). Let f = 163 + -459. Find the common denominator of 2\/5 + f\/l and -59\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349743 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*o - 32 = 78*o. Calculate the lowest common multiple of o and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -14*g**3 + 16*g**2 + 50*g - 3. Is k(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**6\/120 - n**4\/6 + n**3\/6 - n**2. What is the tens digit of y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/3*(7 - 43\/7). Suppose 22800000 = -o*x + 16*x. What is x rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 515828 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q - 4*q + 3*q + (-2 + 6 + 2)*(-1 + 1 - 2*q).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55368099.\nAnswer: 3, 17, 101, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -3, 4, 13, 3, -4 in decreasing order.\nAnswer: 13, 4, 3, -3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13452948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 1106.1?\nAnswer: -1105.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2050, -1, -3 in descending order.\nAnswer: 2050, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 4*r**2 + 6*r**2 + 3.\nAnswer: 7*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18) + 1\/45 + (-1189)\/(-145)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (78 - (114 - 75)) + -97\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + n**2 - 2*n + (-n + n - 2*n)*(3 - 3 + 2*n) + 3*n**2 - 2*n**2 + n**2 + 6*n**2 - 4*n**2 - 3*n**2 - 884518586 - 28804*n**2 + 884518586.\nAnswer: -28806*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4.5, -4, -2, -0.36947, -2\/9 in increasing order.\nAnswer: -4, -2, -0.36947, -2\/9, 3, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 797375568 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 619299*j**5 + j**4 + 466760*j**2 + j + 2.\nAnswer: 37157940*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssss. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 9991134?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5715, -11456, -17195, -22932, -28667, -34400?\nAnswer: -40131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5404 - 86491\/16. What is the common denominator of (-126)\/720*-10 - 1\/6 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -401 divided by 6\nAnswer: -401\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*(-1 + (-30)\/(-25))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frmmlblf. What is prob of picking 1 f and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.5 to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*r**2*w**3 - 3*r**2*w**2 - 3*r**2*w - 7472*r*w**3 + 2*r*w**2 + 6*r*w + 19*w**3 + 210819*w wrt w?\nAnswer: 324*r**2 - 44832*r + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**3\/2 + 2*p**2 + 3*p. What is the tens digit of l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 8.1, 0.03, -3\/11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012414 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7068703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/18 + 2\/(-4). Let z = -0.7 - 0.3. Let l = 1.1 + z. Which is the closest to l? (a) -0.2 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85283.67 months to decades.\nAnswer: 710.69725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 150*q + 147*q = 15, 0 = 3*m - q - 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -3*f - 3712. Suppose q - f - 39 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3875409*0.087.\nAnswer: 337160.583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984199 is divided by 108750.\nAnswer: 5449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 332263\/1368 - 2186\/9. Calculate the common denominator of 38 and m.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + sqrt(80)) - (5*(sqrt(80) + 3))**2) + -2.\nAnswer: -2233 - 592*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -120221122100?\nAnswer: 120221122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (125*(-46)\/(-5175))\/((-10)\/(-42))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*6)**2 - sqrt(175))*6 + 5*sqrt(35)\/sqrt(5) + (sqrt(28)\/sqrt(4))**2*-6.\nAnswer: -25*sqrt(7) + 37758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:50 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -301 + 425. Let l = -124.0000138 + d. What is l rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzfq when four letters picked without replacement from qqqqqffzffq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.2, -2, 23, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-9 - -9) + -26\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-8)*(-1260)\/2835. Let h = 11 + -10. What is the biggest value in -0.18, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.43 - -2.73. Let w = j + -1.29545. What is w rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4208 + 4205.11. Which is the third biggest value? (a) 5 (b) 1 (c) -4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 + 3c276?\nAnswer: 3c24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 656242 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17698327 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10318)\/(-1943))\/154)\/((-1)\/(-4)).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*z - 267, 629 - 184 = 5*z + 2*w. Let i = z + -981\/11. What is the biggest value in i, 3\/5, 1\/6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 1 - 1)*(6*d + 6*d**2 - 6*d - 1 + 1 + d**2 + (-4*d + 0*d + 2*d)*(-4*d + 3*d + 0*d) + d**2 + 3*d**2 - 3*d**2 + d**2 + d - d - 3*d + d**2 + 3*d).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 280 (b) -3\/11 (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3273 + -0.3?\nAnswer: 3272.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h = 4*b - 100, -2*b - 20*h + 2 = -16*h for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1aa - 1?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k - 15. Let c(p) = 9*p + 35. Let w(u) = 6*c(u) + 14*h(u). Let l(i) = 298*i. Give w(l(d)).\nAnswer: -596*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*sqrt(117).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 75, 219, 493, 939?\nAnswer: 1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, -28, -85, -168?\n\"Answer: -13*v**2 + 8*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3193696 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 100453?\nAnswer: 100451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (2 - (-9 + 39 + -2)) + 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o - 167*o**4 + 350*o**4 - o - 102*o**4 + 62 with respect to o.\nAnswer: 324*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-54)*(0 - (3 - 2)*-45).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*p + 2*a - 155, -a = p - 51. Suppose 0 = -48*k + p*k - 50. Calculate the highest common factor of 70 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/535, -2\/7, -2\/19?\nAnswer: 2\/535","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6089 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 8:52 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196967 divided by 2.\nAnswer: 196967\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 413235491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 2*o + 4*o)*(1 - 1 - o**2) + (-2*o**3 + 4*o**3 - 3*o**3)*(-163 + 47 + 61).\nAnswer: 56*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -104.\nAnswer: -104, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h**2 + h - 71. Let n(m) = 7*m**2 - 35. Let d(o) = 6*b(o) - 13*n(o). Suppose -4*x + 13 = q, 14*q - 18*q + 38 = 2*x. Give d(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -117. Suppose l*u - 126 = -3*u. Solve -2 = 2*j + u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 21 + 18*z - 6*z + 20 - 11. Suppose -8*t - 55 = 3*t. Let j be c(t). Round j to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 551535 (base 8) to base 3\nAnswer: 100102000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50641 from -37.\nAnswer: -50678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k + 19. Let z be c(-6). What is the units digit of 178\/z*(-15)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021 is divided by 513?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 0 + 0*v + 0*v**3 + 1\/24*v**4 + 3*v**2. Let o(y) = 2*y + 2. Calculate g(i) - o(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12678233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 196.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -94f8 + -40?\nAnswer: -9538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*m + 3. Let y = -44 - -39. Sort y, m, -4 in ascending order.\nAnswer: y, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**6\/30 + x**3\/3 + 4. Let m(u) be the third derivative of k(u). Let n(s) = -s. What is n(m(q))?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 13 = 4*v, i + 0*i = -v + 1. Let p(s) be the first derivative of 1\/2*s**2 - 2*s - v. What is the first derivative of p(u) wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 1830096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 32 - (3 + 14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*l - 74 = -0*l, 2*d - 2*l = 44. Let z be (-2)\/((-2)\/(-3)) + d + -13. Suppose o - 6 = -z*o, -3*o + 6 = -4*g. Solve 2*x - 3*x = g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 2 = -b - 12, z + 3*b + 11 = 0. Solve i - 3*o - 4 - z = 0, -5*o = 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.05 (b) 5\/4 (c) -81 (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228873094.\nAnswer: 2, 593, 192979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 64773 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggmg when four letters picked without replacement from {g: 4, m: 1, x: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 72979225637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 5) in base 6?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/((-1620)\/(-345)) + 6. Which is the closest to 0.17? (a) 3\/8 (b) 3 (c) 0.2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15903 - -9277.\nAnswer: 25180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**5 + 0*x**5 - 4*x**5)*(147 - 720 - 186 - 1404).\nAnswer: 6489*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2 + 6*f**2 - 7 + 3*f - 2 + 5*f. Let c(y) = y**2 + y. Let r(h) = 4*c(h) - i(h). Let g(m) = m**2 + 2*m - 6. What is 7*g(t) + 4*r(t)?\nAnswer: -t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.0300208?\nAnswer: 0.0600416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 z, and 1 x when four letters picked without replacement from zccqqqzxococzcccz?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 15 - 6 = 0. Solve y = b - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2765904.\nAnswer: 2, 3, 29, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 323510631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24.7 (b) 0.2 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-11)*o)\/(o\/o**(3\/4)))**(-24)*((o**(-4)\/o)\/o**3)**(2\/25) assuming o is positive.\nAnswer: o**(6134\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15080 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 6*c**5\/5 + c**4\/6 + 2*c**3\/3 + 17*c**2\/2 - 6*c. What is the second derivative of m(a) wrt a?\nAnswer: 144*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 234 + -233.9317. What is f rounded to 3 dps?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2699, -2680, -2649, -2600, -2527, -2424, -2285?\n\"Answer: d**3 + 12*d - 2712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrrrruruuokxr. Give prob of picking 1 h and 2 u.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*i**4 + 6*i**5 - 23*i**4 + 937 + 251*i**5 - 937 + (-4*i**5 + 4*i**5 + 2*i**5)*(2 - 3 + 0) - 2*i**5 + 2*i**5 - i**5 - 2*i**5 - 2*i**5 + i**5.\nAnswer: 251*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 106 - 2?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 10. Let u be c(-6). List the prime factors of (8 + u)*1057\/28.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01051 rounded to 4 dps?\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = -32*k - 762 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6082175440 to the nearest 1000000.\nAnswer: 6082000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 97923881 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 314*w**3 - 29065*w**2 - 4*w + 29311401 wrt w?\nAnswer: 1884*w - 58130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 + s. Let f(r) = 13*r - 16*r - 7*r - 2*r**3 - 14*r**2. Let g(w) = -f(w) - 2*o(w). Let g(b) = 0. What is b?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1230 divided by -6\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0.1, -2, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 33*v + 362. Let k be x(-10). Solve -69*g - k = -77*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1)*(-4 + 8). Suppose 0 = -4*k - 13 + 233. Suppose -h*d = d - k. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzzaazaaattza. What is prob of sequence at?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (242\/726)\/((-3)\/171)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*i - 1640 = -69*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31, 10, -5, -275, 1 in decreasing order.\nAnswer: 10, 5, 1, -5, -31, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qllfiff. What is prob of sequence fiqf?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6608 is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13372917?\nAnswer: 3, 4457639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 793069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/(-9) - -8 - (1 + 3). Sort a, 9, -1.\nAnswer: -1, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9*x + 8. Let q be i(6). Let f = -1242 + 1438. Let j = f - q. What is the greatest common divisor of j and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffjffjjj. What is prob of picking 2 j and 1 f?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*a = 1248, -6*a + 5*a = 2*r - 624. Calculate the remainder when 626 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**4 - 2*m**3\/3 - 2*m - 1. What is the units digit of t(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/28 - (-46)\/28)*2. Suppose 0 = -3*j, -a + d*a = -2*j + 54. Solve -7 = 5*w - a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/7182 and 10\/627?\nAnswer: 79002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 5:42 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aahaaaahaa. What is prob of sequence haha?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47823132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*sqrt(136)*2*-5)\/((sqrt(168)\/sqrt(3)*2)\/((sqrt(70) + -2*sqrt(70))\/sqrt(10))).\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -13*(-5)\/30 - (3 + -1). What is the third biggest value in -0.1, 4, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2. Let v be -3 + (-7 - -4 - -6). Let w be (4\/(-4) - v) + 3. Let j(m) = 14*m**w + 0*m**2 + 4*m**2. Determine y(j(n)).\nAnswer: 648*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {e: 9, f: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.2, 1, -2.57, 2\/27, 2\/11 in ascending order.\nAnswer: -2.57, -0.2, 2\/27, 2\/11, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 2*u**2 + 37*u + 52. Let f be k(-4). Let b be (-785)\/1182 + (-12)\/(-18). Which is bigger: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3276)\/27)\/(-4)*21. What is the highest common divisor of m and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3594 - 45229 = 465*z - 1222*z for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68 - 158 + 60 + 228*y + 36 to n*y + k and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(-4 + 4*s + 4)*(-346*s + 171*s + 206 + 176*s) to the form f + m*s**2 + h*s and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.5 + 5.5. What is the nearest to -0.1 in -1\/5, u, -3\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 7, 0 in decreasing order.\nAnswer: 21, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 3. Suppose 6*d = 3*d. Suppose d = -w + 2 - 6. Give u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 674, -391, -2342, -5323, -9478, -14951?\nAnswer: -21886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10572207881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 1041 = -1140. Let c(f) = f**2 - 6*f - 19. Determine c(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46, 33, 14, -11, -42?\n\"Answer: -3*m**2 - 4*m + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-33)*47\/15463*141.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212056 a multiple of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*w + 11*w + 33 + 27 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 l, and 1 q when four letters picked without replacement from aylljaqlaq.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, f: 5}. What is prob of picking 1 f and 2 i?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 7*s = 6. Let f = s + 5. Solve 0 = f*x + x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 5*h - 65. What is u(10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.80186 - -9.8. Round u to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*y\/y**(2\/9)*(y*y\/(y**(-1\/4)\/y)*y)**(-13) assuming y is positive.\nAnswer: y**(-1889\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*n - 21. Let j = n + 1. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -33) + 1 + 1 - (1004 + -990).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3963*s + 3972*s - 7934*s + 0 - 3.\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 2 + 1 + 150 + -150?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -290, -296, -304, -314, -326, -340?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 6:42 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 2*g + 10, g - 14 + 9 = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19*5\/(-930) + (-2)\/(-12).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 17*d - 19 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28490)\/(-3003))\/(-37)*(36\/10)\/3?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 - f**4 + f**4 + (-2*f**3 + 6*f**3 + f**3)*(-6*f**2 + 9*f**2 + 15*f**2).\nAnswer: 89*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3680 is divided by 231?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 7\/2*n**2 + 13*n + 0 - 1\/20*n**5 + 7\/3*n**3 - 1\/3*n**4. Is l(-7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1755*y = 1758*y - 6067*y + 2014*y + 28620 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 + 0)*(2 + 5 - 3)*(9*w - 9*w - 3*w**2)*(-6*w - 3 + 3) in the form z*w + d*w**3 + r*w**2 + h and give d.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 2*z - 13. Let a(i) = 13*i + 6. Let v be a(-1). Calculate the least common multiple of b(v) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.6, 3, -6 in descending order.\nAnswer: 3, 0.6, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4108 divided by -4.\nAnswer: -1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-4 + sqrt(75)) + sqrt(75) + 4*(-3 + sqrt(75)) + 0)*-4)**2.\nAnswer: -1920*sqrt(3) + 11056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**3 - f**2 - 9*f. Suppose -3*h = -2*p + 3*p + 9, 3*h = -4*p. Let d(z) = -3*z - 1. Give p*q(v) - 7*d(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 5:07 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3636.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (21 + (-27 - -8)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -3, 739484.\nAnswer: -3, 3, 5, 739484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -5. Suppose 0 = -u + 4*o + 14 + 10, 0 = b*o + 25. Let k(p) = 3*p + 2. What is the least common multiple of k(2) and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 59*a - 4887. Calculate h(37).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. Suppose -4*c - a = -4*m - 0, -5*c - 13 = -m. Let k be (-2 - 0) + m - -1. Let j(o) = o**2 + o - 2. Determine j(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5\/3 + u**4\/3 + 2*u**3\/3 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-1\/3)*s)\/s**(4\/9))\/(s**(2\/7))**(14\/5)*(s\/(s*s**(-7)\/s)*s\/s**(-4)*s)**(-32) assuming s is positive.\nAnswer: s**(-20096\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 5*y - 10. Let f be u(8). Let s be (-3)\/(6\/(-2))*f. Let c = -8 + s. Solve n - 5*m + c + 7 = 0, 4*m = -3*n - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 0.7 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 3, -0.062, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 238\/26 - (-8 + 636\/78) - (-43 - 6)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 388 and 1.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239 divided by -595.\nAnswer: -239\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**2 - d**2 - 3*d**2. Let v(p) be the first derivative of -p**2 - 4. What is v(q(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*b - 5*y, 2*y = -4*b + 5*y - 25. Let s(f) = -2*f**2 - 6*f - 10. Let k be s(b). What is the tens digit of (34 - 0)\/(k\/(-27))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*a - z, 2*z + z = -2*a - 3. Suppose 0 = -4*u - 30 + a. Let o be u\/((-24)\/(-20)) + 4. Which is bigger: o or -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m = -15. Let r = 2 - m. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-2 - -2) - 11. Does 5 divide 200\/v*24\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u + 70. Let r(a) = -2*a + 20. Let c be r(9). Let o = 20 - c. What is the remainder when u is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18527?\nAnswer: 97, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7575 and 9696.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 7 - (-5 - -18)) + -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**2*d*h - 2650412*c**2*d + 2*c*d*h + 9*c*h + 2377*h wrt h?\nAnswer: -c**2*d + 2*c*d + 9*c + 2377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*u + 13*u - 3*u - 6*u + 37*u**2 wrt u?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-190)\/(-15))\/(-2))\/(2\/(-234)). Let d = m - 240. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 44. Let y = 10 + v. Calculate the remainder when 18 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59 + -2*25\/10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - -1 - (3 + 2) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.98 + -52.253803862.\nAnswer: -47.273803862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let q(z) = 4*z - 2. Determine -3*q(u) - 6*t(u).\nAnswer: -6*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -36*d**2 + 0*d**4 + 0*d + 0*d**3 + 0*d**6 + 0 + 1\/360*d**5 - 1\/1260*d**7. Factor w(q).\nAnswer: -q**2*(q - 1)*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*h**3 - 7282*d**3*h*o + 66*d**2*h*o + 524343349*d*h**3*o - 36*h*o wrt h?\nAnswer: -12*d**3*h + 3146060094*d*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 4*r - 3*r + 2*r - 2*r - 2*r + (-3*r - 3*r + 4*r)*(0 + 1 - 3) + 4*r + 3*r - 6*r + 2 - 2 - r + 7692 - 7635 + r + r in the form i*r + w and give w.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 k, and 2 r when four letters picked without replacement from {k: 4, a: 1, t: 2, g: 1, o: 1, r: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -93*29185\nAnswer: -2714205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2280 + 7840. Let t = 33281\/6 - q. Calculate the common denominator of -65\/6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103134 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*y**2 - 3*y**3 - 1 + 2*y - 2*y**3 + 2*y**3 - 19*y**2 as r*y + u + w*y**2 + f*y**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 + 5 - 4*h**2 - 11*h + h. Let v be w(-9). Calculate the common denominator of (-1)\/(v*(-4)\/24) and 53\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 17*x**2 + 6*x + 84. Let y(j) = j**3 + 18*j**2 - 7*j - 86. Let d(z) = 7*a(z) + 6*y(z). What is the first derivative of d(h) wrt h?\nAnswer: -3*h**2 - 22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 + z**2)*(0*z + 3*z + 0*z) + 5*z**3 + 6*z**3 - 2*z**3.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2. Let n(u) = 167*u**2 + 1198 - 2409 + 1211 + 3*u. Determine n(j(l)).\nAnswer: 668*l**4 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - -2822) + -10 - 6 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 9, j: 5}. What is prob of picking 1 j, 1 t, and 1 u?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Suppose o*u + l - 28 = 0, -6*u + 2*u + 44 = -l. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/4))**(22\/5) assuming x is positive.\nAnswer: x**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3281, -3285, -3263, -3197, -3069, -2861?\nAnswer: -2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 33*r + 204 = 0. Suppose -52*h = -h - r. Solve -5*a - h = -6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4\/7 (b) 0.4 (c) 54 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**5\/3 + 724*p**4\/3 - 33838*p**3\/3 + 176684*p**2\/3 + 11280*p - 59136 = 0.\nAnswer: -1, 1, 6, 48, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -128, -88, 2, 0, -4 in increasing order.\nAnswer: -128, -88, -5, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/1017 and 139\/1506516.\nAnswer: 4519548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 131 + 131. Let v(t) = -7*t. Calculate v(z(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/7)\/((-12)\/(-28))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 10*d**2 + 3*d. Let b(z) = -z**3 + 5*z**2 + z. Let j(x) = 5*b(x) - 3*k(x). What is the units digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 9*h + 16*h to the form k*h + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6*(-23 + 8). Let a be h\/(-4)*264\/30. Let o = a + -20. Solve y + 3*c - 16 = -0, -4 = o*y - 3*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 5*a - 40. Suppose -15 = -5*u + a*u. Let q = 4 - 4. Which is greater: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 8:07 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-2) + (7 - 8). Let o = r - -1. Find j such that 0*j + 1\/2*j**2 - 1\/2*j**o + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 20*b**2 - 405*b - 1768. What is w(15)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 241432 + -0.19.\nAnswer: 241431.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 743607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 2*n**2 + 2*n - 6. Let p be i(-3). Let r = -65\/2 + p. Let 1\/2*q**2 + 0*q**3 - 1\/4*q + 1\/4*q**5 - r*q**4 + 0 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 11266.8.\nAnswer: -33800.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6788049138.\nAnswer: 2, 3, 13, 29008757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9923)\/((-4)\/3 + 5\/15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139.5 - 139. What is the biggest value in 4, -1, -4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23026 and 17071.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1\/7, -4 in decreasing order.\nAnswer: 12, 1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 147 - 147 - 2*p. Let r(w) = 12*w**2. Calculate r(j(d)).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160*g**2*k**3 + 199*g**2*k**2 + 2*g**2 + 2*g*k**3 + 29*k**3 wrt k?\nAnswer: 960*g**2 + 12*g + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 503103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - -1 - -2 - (-3 - -4). Solve q*t + 29 - 9 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -36 + 300. What is the remainder when l\/(-4)*8\/3 is divided by 29 + 57\/((-1539)\/540)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/6*92\/230?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i + 4. Let q be 4\/(-3)*i\/2. Find the common denominator of -63\/8 and (-2)\/(-5) + 40\/q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-14)*153\/34.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 6 = 2*b - 3*s, 3*s = 5*b - 30. Suppose -3*t = 5*a - 3 + 5, a + 10 = -b*t. Solve -14 = -4*w - 34, 0 = a*k + 4*w + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63884?\nAnswer: 2, 15971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 55 (b) -3\/8 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -24 + 2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 7*z + 7. Let j(x) = -x**2 - 2*x - 2. Let g be 6 + -17 + 7 - (-9 - 1). Determine g*y(s) + 21*j(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 18, -38, -5 in increasing order.\nAnswer: -38, -5, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1361\/115 - 8109\/1610. Let k = n - -48\/35. What is the common denominator of k and 40\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4\/9 - 4208*j**3\/9 - 11182*j**2\/3 - 20932*j\/9 + 58688\/9 = 0.\nAnswer: -2096, -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 0, -3.\nAnswer: -3, -2, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**4 + 33*a - 539 + 539 + (0*a**2 - a**2 + 3*a**2)*(3*a**2 - a**2 - 3*a**2) - a**4 - a**4 + 0*a**4.\nAnswer: -10*a**4 + 33*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - ((-4 - -5) + 21)) + 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w + 3. Let h(k) = -3*k + 2. Determine -3*h(u) + 2*j(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(170)*4)\/(sqrt(490) + sqrt(490)*-3).\nAnswer: -6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*a**2*i**2 + 2*a**2*k - a**2 - 4*a*i**2*k**2 - 2*a + 3*i**2*k**2 with respect to k.\nAnswer: 2*a**2 - 8*a*i**2*k + 6*i**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 3, l: 3, c: 3}. Give prob of picking 1 e and 1 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w**2 + w**2 - 7*w + 4*w**2 - 3*w**2 + w**3. Calculate l(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqrrqrqqrqgrrg. Give prob of sequence ggr.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9192325?\nAnswer: 5, 17, 43, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 21. Let i be v(5). Suppose 9*z + 3808 = i*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -4, -0.4, 35\/6, 0.1, -0.1?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 12) to base 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 51359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2317, -2300, -2265, -2206, -2117, -1992, -1825, -1610?\n\"Answer: c**3 + 3*c**2 + c - 2322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:25 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 13. Let h = -5 + q. Does 9 divide h\/(-45) - (-551)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 11*l - 23*l. Solve 13*u**3 - 29*u - l*u**3 + 29*u = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 6\/2443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.54 - -0.44. Which is the nearest to 0.2? (a) -5 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7 - c**3 - 76*c + 5*c**2 + 38*c + 43*c. Determine y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158727\/2 != 79364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -27. Solve -3*n - o = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -27173059 at most as big as -27173049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.26 + -0.66. Which is the closest to -0.1? (a) 0.09 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26, -152, 4, 13, -2, 0.2, 0.1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1066, 0, -4, 2\/407.\nAnswer: -1066, -4, -0.2, 0, 2\/407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 + 8*c**3 + 5*c - 8*c**3 + (-4 - c + 4)*(4*c**2 - 4*c**2 - c**2).\nAnswer: 4*c**3 + 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 5 (b) -2\/3 (c) -1\/6 (d) -1.15 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 100, -6.5, -9\/8, -2, 1, 0 in descending order.\nAnswer: 100, 4, 1, 0, -9\/8, -2, -6.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, j: 1, d: 10}. What is prob of picking 3 x?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiii. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-41))**(-28)\/(w**(-5)\/(w*(w**(5\/14)*w)\/w)) assuming w is positive.\nAnswer: w**(15769\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -49893428.21?\nAnswer: -49893423.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 6*l**2 + 9*l - 3. Let g be (1 - 4)\/9*-21. Is u(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 12:41 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219179 is divided by 72409?\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142268356 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317, 1262, 2837, 5042, 7877, 11342, 15437?\nAnswer: 20162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.358 + 0.3579961. Round p to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/(-90))\/4)\/((-4)\/5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 1, q: 1, u: 1, g: 1}. What is prob of picking 1 u and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10277381 rounded to the nearest ten thousand?\nAnswer: -10280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -400206, -800422, -1200638, -1600854?\nAnswer: -2001070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - c - 28 = -21, -5*c + 10 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -204\/11, -0.51, -262\/3?\nAnswer: -262\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1043.04 + -1043. Which is the closest to 1\/15? (a) t (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22631286 is divided by 51?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o + 20 = 0. Let a be (-26 - -23)\/(((-1)\/1)\/(-25)). Let h = a - -75. Solve s - o*m - 8 = -2*m, h = -s + 4*m + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 - (22 - (-11 + 34 + -4 - 16))?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 298*o*v**2*y + 31*o*v*y - 4899*v**2*y + v**2 wrt o?\nAnswer: 298*v**2*y + 31*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 13*o**3 + 0*o**2 - 20*o**3 + (-1 - o + 1)*(o**2 + 0*o**2 - 2*o**2) + 0*o**3 - 3*o**3 + 4*o**3.\nAnswer: -5*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17179 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6*3\/126*-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Let a = -1.211 - -0.211. What is the third biggest value in a, -0.4, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.18 + -0.04. Let x = t - 2.78. Which is the closest to 1? (a) -4\/5 (b) -3\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 861290786 minus -1.7?\nAnswer: 861290787.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 457*s - 18499. Determine m(412).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2094598?\nAnswer: 2, 11, 19, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m + 3. Let w(p) = -p**2 + 4*p - 7. Let n = 17 - 13. Suppose 3*f = -n*f + 21. Let a be w(f). Give t(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302640 a multiple of 556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 852.7273l to millilitres.\nAnswer: 852727.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 + 176\/(-24))\/((-1)\/(-36)). Sort 3, 0, z in descending order.\nAnswer: z, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 251, 372, 493, 614, 735?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**9\/60480 - g**8\/4032 + g**7\/1680 - g**6\/720 + g**5\/60 + 2*g**2. Let i(k) be the third derivative of z(k). Determine i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21001001110212101 - -1?\nAnswer: -21001001110212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -133*o + 467. What are the prime factors of n(-24)?\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 t, and 1 z when four letters picked without replacement from {o: 2, t: 2, s: 2, l: 1, z: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + g + 75 = 6*p, 4*p - 312 = g. Let x = 123 - p. Suppose 5*q + 5*j - 655 = -0*q, -4*j - 379 = -3*q. What is the remainder when q is divided by x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.4583 to 1 decimal place.\nAnswer: -163.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 + -112. Calculate the greatest common divisor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15554445 is divided by 144?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 8, 22?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*7\/210*9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10310*c**2 + 2752 + 287*c**2 - 1375 - 1377.\nAnswer: 10597*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 + w + 5. Let z(l) = 4*l**3 - 7*l - 3. Let x(m) = -2*m**3 + 4*m + 1. Let q(j) = 5*x(j) + 3*z(j). Determine -5*h(i) - 6*q(i).\nAnswer: -2*i**3 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -827078 at most -827078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/6 - 5*v**4\/2 - 9*v**3.\nAnswer: v**3*(v - 18)*(v + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence busb when four letters picked without replacement from busb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**2 - 314*c - 2362. Determine n(59).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -95*x + 4556. Determine o(48).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*j, g - 585 = -3*j + 121. List the prime factors of g.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517569 is divided by 800.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -205 + 614\/3. Let d = -1152 + 1156. What is the nearest to t in 5, 7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.037 + 29.147. What is the closest to 1 in -49\/5, w, 0.1, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 4. Let p be n(6). What is the second smallest value in p, 1, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4956396, 9912790, 14869184, 19825578, 24781972?\n\"Answer: 4956394*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7*q = 6*q - 18, -5*m + 2*q = -29. Let v(a) = 3 - 1 - 6 - 6*a + a**2. Determine v(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9341103 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h - 25. What is w(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence loli when four letters picked without replacement from {n: 1, o: 1, l: 5, m: 5, i: 3}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 11:42 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/8)\/f*(f*f**(-8)\/f*f)\/f assuming f is positive.\nAnswer: f**(-69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 0*x**3 + x**3)*(-126*x - 369 + 369) - x**4 + 1 - 1.\nAnswer: 251*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcc when three letters picked without replacement from llcjlcjfcfjffcjljj.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(1\/4). Suppose 0 = p*x + 6*v - 2*v, 2 = -2*x - 5*v. Suppose x = j - 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 13 + 108. Let c = -2 - l. Calculate the highest common factor of c and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 64*i**2 + 232*i - 476. What is q(-60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*2 + 5)**2.\nAnswer: 160*sqrt(7) + 1817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -73. Suppose o = -3*a + 25. Solve 0 = -c + a*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 17 = -5*k + 525, -3*h + 4*k = -762. Suppose 251*r + 519 = h*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mllumu. What is prob of sequence um?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 5*i**2 - 14*i - 1. Let r be s(7). Let f = -2 + r. Let x(b) = -26*b. Does 29 divide x(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (549\/(-244))\/(3\/8). Let d(t) = 25*t**2 - 2*t - 20. What is the hundreds digit of d(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -158 + 67 - (-1045)\/11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324\/19 + 306\/19*i - 2\/19*i**3 - 20\/19*i**2.\nAnswer: -2*(i - 9)*(i + 1)*(i + 18)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 4*j - 1 + 2*j. Suppose -20 = -4*f + 12. Let p = 5 - f. What is m(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2045340 (base 6) to base 8\nAnswer: -302574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116141?\nAnswer: 116141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkg when three letters picked without replacement from {a: 3, k: 1, z: 1, g: 5, f: 1}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4932\/5 + 996. Calculate the common denominator of 13\/((-702)\/186) - 5\/(-1) and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piyyyigyymimpy. Give prob of sequence yiy.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 + -167. Calculate the common denominator of -30 and -27 - -25 - (0 + m\/22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -23*l + 62 + 112. What is the remainder when 1243 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105698093 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -195 + 291. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 9*k + 6. Let d be u(8). Let y be (-24)\/d*(-8)\/(-32). Are 4 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -449*m**2. Let n(v) = -8744*v**2. Calculate g(n(s)).\nAnswer: -34329433664*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 18*r - 456. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 3, -12, 1481, -4 in descending order.\nAnswer: 1481, 34, 3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 27 - 7*w - 7*w**2 - 3*w + 3*w**2. Let z(k) = 3*k**2 + 5*k + 14. Let g(t) = 4*l(t) + 7*z(t). Is g(8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 + 92. What are the prime factors of s?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-39 - (53 - 113)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373119690?\nAnswer: 2, 3, 5, 641, 19403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 1\/8 (c) -291\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 - 123. Solve -n*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/11, 0.1, -5, 1\/110?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 13 - 3 + 27 - 6*w - 4*w to the form k + s*w and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 26*k - 144. Let y be c(6). Suppose 0*u - 6 = -2*u, -g = -u - y. Let i(n) = 15*n. Let m be i(1). Calculate the greatest common divisor of m and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 12 = 3*l, -15*n - 5 = -14*n + 2*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -456.40009 + 30602978.40009. Let a = -30602527.9999999 + m. Let u = a - -6. Round u to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3402*y**4 + 157*y wrt y?\nAnswer: -40824*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -0.2, -127, 0, -732?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 29 = -4*o, -3*o + 3*m + 48 = -0*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/3 + 614*s\/3 + 94249\/3 = 0.\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116 + 117. Let t(p) = -p**3 - 4*p**2 + 3*p + 2. Let v be t(r). Solve 3*f + 13 + 12 = 2*h, v = 2*f + 3*h - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 548*o + 6. Let r be ((-24)\/(-30))\/(4\/(-10))*-1. List the prime factors of g(r).\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1020)\/2856 + 4*(-15)\/(-140)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -18*d**2 - 15*d - 3. Determine w(-5).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-8)\/(-36)*567\/(-42)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -11*i**3 + 5*i**2 + 5. Let r(f) = -f**2 + 16*f - 11. Let c be r(15). Let k(w) = -10*w**3 + 4*w**2 + 4. Give c*o(v) - 5*k(v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2899 is divided by 172.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/8 and -1 + ((-2)\/(-3) - (-314)\/(-66)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 divided by -221?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132 + -60. Let m = r + -74. What is the closest to 1 in 10, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -17*o**3 - 5*o**2 + 82*o + 345. What is i(-4)?\nAnswer: 1025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z + 33749*z**3 + 3*z - 13*z**2 + 14*z + 25*z**2. Let w be x(4). What is w rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 30. What is the nearest to -3 in 9, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*k - 38 + 9, 3*h + 2*k - 13 = 0. Let l(b) = -b**3 + 14*b**2 - 11*b - 22. Let w be l(13). Suppose -h*g + w = -6. Solve -g*n + 2 = -8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nln when three letters picked without replacement from {l: 1, n: 2, d: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.84 to one decimal place.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/((((p*p*p**(-1\/3))\/p)\/p*p*p)\/p))\/p)\/p)**(-3\/8)\/(((p**(-3\/8)\/p)\/p*p)\/(p\/((p**7\/p)\/p))))\/(p*p**(3\/8)*p**4*p)**(2\/21) assuming p is positive.\nAnswer: p**(-73\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 541432417 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-8\/5)*j)\/(j*j\/((j*(j\/j**(-3\/2)*j)\/j)\/j))*j\/(j*(j*(j\/j**(2\/7))\/j)\/j)*j**28 assuming j is positive.\nAnswer: j**(2043\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*m = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t + q = 2, 8 = 4*q. Let y(s) = -s**2 - 13*s + 12. Let h be y(-14). Which is the closest to h? (a) -1 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256059 divided by -1922?\nAnswer: -256059\/1922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 5*r = -6. Suppose a - r*d = -4, -2*a + 2 = a + d. Suppose a = 3*b - 5*q + q, -11 = b - 5*q. Solve -4*v = 20, 3*c - b = -4*v - 33 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1572, -3146, -4720?\nAnswer: -6294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 15*o**2 + 9*o**2 + 10*o**2 + 3*o**3 - 43*o**2 + 5*o + o**4 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 36. Which is smaller: 12\/13 or w?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040775284 rounded to 6 decimal places?\nAnswer: 0.000408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 163*g. Let n(f) = -10*f. Give n(x(i)).\nAnswer: -1630*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -1, 9647, -4?\nAnswer: 9647","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g - 5*l - 47, -3*l = -15. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 12:05 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**3*z**3 - 2*v**3*z**2 + 90*v**3*z + 25*v**3 + 2*v**2*z + 2464*v*z**3 + 26645*z**3 + 4*z**2 - 36 wrt z.\nAnswer: -12*v**3 + 14784*v + 159870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65559 + -33514. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 14*m + 28. Let l(q) = 9*q + 19. Calculate -7*l(o) + 5*z(o).\nAnswer: 7*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + -2. Let o(q) be the first derivative of -q**4\/4 - 2*q**3 + 5*q**2\/2 + 7*q - 1. Is o(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 z when three letters picked without replacement from {z: 12, w: 1, e: 4, j: 2}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 4*n - 8*n. Solve n = -f + 1 - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 - 7*x - 2. Let s be t(-9). Suppose s = 2*k + 5*k. Suppose -q = -2*q - 5*f + 46, -q = 2*f - k. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 674*z - 4716. Let i be o(7). Let v be 14\/3 - (-2)\/6. Suppose x - v*x + 32 = i*l, -3*x + 31 = 5*l. What is the greatest common divisor of 49 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3454 + -14?\nAnswer: -3501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 7:47 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 101. Let o = -66.5 + x. Round o to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-358 + 359 + (2 - 1))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*a = 152*a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -94359\/3931 greater than or equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1003?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-202)\/(-10) - 7\/35. Solve -3*v + 2*g + g = 12, -2*g - a = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*((0 + 0 + 2)*(3*h + h - 2*h) + 514*h + 5821 - 5821)*(1 + 1 - 3).\nAnswer: -1036*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1 + sqrt(1700))*1 + (sqrt(1700) + 0)*4)*-6)**2*5.\nAnswer: -450000*sqrt(17) + 191254500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 2004?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0 + -4 + 0 + -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, 485, -182\/3 in descending order.\nAnswer: 485, -0.15, -182\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 5 = -4*c. Let f = c - -17. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*-1*(-46)\/69. Solve 5*t + 0*r - 2*r = 3, m*t - 5*r - 18 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/7)*g)\/g*g**(10\/3))**(-47))**(3\/8) assuming g is positive.\nAnswer: g**(-376\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46844 and 383117?\nAnswer: 10727276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 26, 1, 24, 5 in increasing order.\nAnswer: -5, 1, 4, 5, 24, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/8 and -77\/8940?\nAnswer: 17880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2950 is divided by 297.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016071179 to 5 dps.\nAnswer: 0.01607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) + 16\/(-7). Let q(o) be the third derivative of 1\/3*o**3 + 0*o + 1\/6*o**4 + 0 - 7*o**2. Determine q(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eooo when four letters picked without replacement from {e: 5, u: 1, o: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 - 1. Suppose 2*m + 2 = -m - 5*c, 4*c + 5 = m. Determine t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 8. Let x be j(9). Let s = -8\/15 + 1\/3. Is s equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5 - 25 = 0. Suppose 0 = -4*y + a*p + 20, -2*p = -6*p - 16. Put -2, -1, y in descending order.\nAnswer: y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544457?\nAnswer: 673, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:43 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*h - 7*h. Let t = 32 + h. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3231426 and 32307?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -935\/4 or -234?\nAnswer: -935\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (273 + -270)*(8 - 22)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 56a?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*y - 12 = -48, 3*t + 31 = 4*y. Sort -2, -3, t, 1 in descending order.\nAnswer: 1, -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 4. Let y be (2\/(-4))\/(1\/(-10)). Let w be g(y). Let n = -1 - w. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-5))\/(8\/120). Suppose 0 = -u + r - 3. Suppose -3*n = -0 - u. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 equal to 125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1310 - 1122.5. What is h rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 4*n**4\/3 + n**3\/2 - 87*n**2 - 2*n. Let x(y) = -y**2. Calculate r(x(v)).\nAnswer: -32*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (-5 + 8 + 208). What are the prime factors of (-11720)\/24*v\/60?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 34?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(sqrt(242) + 1*sqrt(242) + -5 + sqrt(6)\/sqrt(3))**2)*-1.\nAnswer: -4337 + 920*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 2 - (-6 + 11)*-1. Suppose -5*q = 7 + f, -4*q - 548 = -4*i. What is the highest common divisor of i and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.29 (b) -2\/5 (c) 18.88 (d) 1\/411 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**1\/x))**35\/(x**(-6))**(-40) assuming x is positive.\nAnswer: x**(-205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2234 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - n**3 + n**3)*(-4*n**2 + 2 - 2) - 4119*n + 15*n**2 + 8228*n - 6*n**5 - 4068*n.\nAnswer: -10*n**5 + 15*n**2 + 41*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4*v = 0, -139*d + 3*v + 0*v = -144*d - 2*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 388 - 2725\/7. Let m be -3 + (-3)\/(-3)*1. Is w >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 328584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 173?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 0*k - 3*k)*(28*k - 25*k + 0*k + 119) + 52*k - 7*k**2 - 52*k to t*k**2 + c + a*k and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 + -106. Sort -18, -4, n, -3 in decreasing order.\nAnswer: n, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 7*l**4\/12 - 14*l. Let n(h) = h. Give f(n(j)).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111111021102212 - 12?\nAnswer: 1111111021102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20553.\nAnswer: 3, 13, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113489 divided by 3.\nAnswer: -113489\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 49. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g + 18*g + 20*g - 7*g.\nAnswer: 25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -795 - -804. Let v(o) = -2*o**3 + 9*o**2 + 6*o. Let r(s) = -s**3 + 4*s**2 + 3*s. Determine k*r(j) - 4*v(j).\nAnswer: -j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4 (b) 3 (c) 2\/17 (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -998\/7 in -1, 2\/11, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*j**2 + 100*j**2 + 0*j + 0*j.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.3 or 13\/4?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 113 + 112 + 57938*q.\nAnswer: 57938*q + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74851?\nAnswer: 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -787.52964 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 3*d + 15 = 0. Let s(g) = 3*g**2 + 3*g - 1. Let r(c) = -3*c**2 - 2*c. Determine d*r(u) - 2*s(u).\nAnswer: 3*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*p**2 + 14*p**2 - 115*p**2 to the form b + s*p**2 + o*p and give s.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*r**5 - 11*r**3 - 4*r**2 + 189412*r wrt r?\nAnswer: 580*r**3 - 66*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - s**2 - s + 4. Let g(a) = -2*a - 13. Let w be g(-9). Suppose -w*u + 16 = 6. Let d be 0\/(-1 + (1 - u)). Calculate z(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t**3 + 7*t**2 + 5*t - 2. Let u(q) = 10*q**3 + 9*q**2 + 6*q - 1. Calculate -3*r(g) + 2*u(g).\nAnswer: -4*g**3 - 3*g**2 - 3*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10217979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/4 and 23\/6244.\nAnswer: 6244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/416 and -131\/156?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951021641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + o**2 - 5*o**2 + (1 - 2*o**2 - 1)*(0 + 0 + 1) - 3*o**2 + 2*o**2 - 2*o**2 + 0*o + 0*o + o**2 + 9*o**2 + 4*o**2 - o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 5, w: 2, o: 9, n: 3}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.991 - 0.009. Let w = -63 - -68. Let o = 0.07 + -0.57. Which is the second smallest value? (a) o (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192041 and 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -773 - -6?\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4551\/185 + 1456\/(-56) + (-1 - 378\/(-170)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 9:50 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 29 = 2*x, 0 = 4*x - x - 2*o - 31. Let t(f) = -f**2 + 9*f - 17. Determine t(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 1\/4*q**2 + 1 + 0*q + 1\/12*q**3. Factor p(c).\nAnswer: c*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8483*0.0963\nAnswer: -816.9129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 24*z + 486. Let r be f(20). What is r rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f, -3*h - 5*f + 8*f + 27 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3003431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + 5*n**2 - 51*n - 62. Determine z(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b8 + -15?\nAnswer: 4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - -0.4. What is the closest to -1 in 3, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61821360 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 116. Suppose -38*f + t*f - 16 = 0. What is the second derivative of -14*o**2 + 14*o**2 - 22*o - 2*o**f + 5*o**4 wrt o?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.96 + -0.04. Let g be (288\/480)\/(9\/10). Sort 12, t, g, 2 in increasing order.\nAnswer: t, g, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(68\/(-24))*(-1)\/5*(-18)\/(-90).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -177*j**4 - 7*j**2 + 22*j wrt j?\nAnswer: -4248*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197650 to the power of 1\/2, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 9\/56?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3219 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -7. Let i be -3 + u - (2 - 6). Find the first derivative of -d + 3 + d**i + 0*d + d wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/3332 and 73\/48832.\nAnswer: 5811008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/45)\/(2\/(-18)*1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-28)\/y**(6\/5) assuming y is positive.\nAnswer: y**(-146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 8*p**2 + 14*p + 6. Let q be w(8). Let y = q - 115. Solve 2*j + 1 = y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**2 + 15*v + 1. Let b be f(2). What is the closest to 1 in 5, 0, -2\/3, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*c = -782*c + 2200 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 6 - 3)*(2 - 7 + 2) + 3 + 3 - 5 + 0 + 2 + 0 + 1 + 2 - 1 + (-4 - 2 + 5)*(-2 - 1 + 4) + 4 - 2 - 1)*(n + 10*n + 0*n) as d*n + b and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -22*y**2 - 351*y + 43. Let n be d(-16). Solve -30*p + n = -3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32433, 32335, 32237, 32139, 32041, 31943?\nAnswer: 31845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 278*m**3 - m**2 + m - 1. Does 10 divide s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 970695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u**2 + 8 - u**3 + 6*u + u**3 + 5*u - u**3. Let h be a(-9). Is h*(-2 + (-26)\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 13*s = -51, 4*s = -5*q + 219 - 267 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 6, 5*p - t + 5*t - 253 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 + 13 + -10 + -8 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557874 divided by -54?\nAnswer: -10331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1870)\/(-159390) - 7\/161?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + sqrt(1584) + -3)**2.\nAnswer: -72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/23)*l*l*l**(-2\/3))**(-1\/52) assuming l is positive.\nAnswer: l**(-49\/1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*m + 4*m - 1204 = 0, 3*m = 0. List the prime factors of w.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -59690, -59697, -59714, -59747, -59802, -59885?\n\"Answer: -t**3 + t**2 - 3*t - 59687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62731?\nAnswer: 62731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 67 - ((43 - 46) + 46)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h. Let o(m) be the third derivative of -m**4\/12 - 7*m**2. Give o(u(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 113*k**7\/7 + 62*k**3\/3 + 79. Find the third derivative of s(x) wrt x.\nAnswer: 13560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15938.\nAnswer: 2, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*z - 11051, 1310*h = 1307*h + 5*z + 33153. What is the highest common factor of h and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8487722 by -4243861.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -75. Let c = -2372004709\/1141 + 2078882. Let u = c - -3\/163. Does a = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4252\/83 (b) -3 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -97 - (-63 + 65 + (3 - 4) + 12 - 11)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 416 (b) 0.2 (c) 0.4 (d) 41\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 19*s**6\/120 - 7*s**5\/60 + 18*s**2. Find the third derivative of n(v) wrt v.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 60.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2324)\/(-8) + -4 + (-3)\/(-2). Suppose t - d = 312. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142074719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**5\/5 - 88*a**4\/15 + 98*a**3\/5 - 44*a**2\/5 - 16*a\/3 = 0.\nAnswer: -1\/3, 0, 1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5723\/14 - -2862\/7. Let z(y) be the third derivative of 0*y - 1\/7*y**3 - c*y**4 + 0 - 1\/70*y**5 - 51*y**2. Factor z(l).\nAnswer: -6*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (1 - 1) + -6 + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, g: 1, k: 1}. Give prob of picking 1 v, 1 k, and 1 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 464 (base 10) to base 12\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 18 = 3*z, -y = 3*z - 0*y + 12. Let q be (2\/z)\/(3\/27). What are the prime factors of (3\/q)\/((-3)\/192)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -21. Suppose g + t*s - 43 = 0, 4*s = 5*g - 3*g - 16. What is the remainder when 71 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52109?\nAnswer: 107, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 9*i**4\/4 + 25*i**3 + 12*i**2 + 11. Factor l(n).\nAnswer: 3*n*(n + 8)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojezb. What is prob of picking 1 j and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13565*z - 21479*z - 25414*z - 19331*z.\nAnswer: -52659*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.132 - -191.132. Let h = k - 191.1. Which is the third smallest value? (a) 3 (b) -2\/103 (c) h (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 4355 - 4*q - 561.\nAnswer: -q - 4916","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -415 - -419. Suppose 0*v = 2*v. Suppose -c + 2 = -v. Solve 2*b - c = q*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + -14440?\nAnswer: -14460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 3:25 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 751 = 741 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 s when three letters picked without replacement from {s: 5, r: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*j + 5, 2*j = w - 3. Suppose 533 = w*z + 11. What is the least common multiple of 14 and z?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*g + 20, g = -d + 3*g + 8. Solve d = -3*y + 2*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 2*b - 79. Let z be v(11). Let r be (-39)\/(-260) + 2\/z. Solve r*c**4 + 1\/2*c**2 - 5\/2*c**5 + 0 + 7\/4*c**3 + 0*c = 0 for c.\nAnswer: -1\/2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + m - 4*m - 74, -2*w + 20 = 2*m. Suppose -860 = -7*t - w*t. Calculate the greatest common factor of 473 and t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*j**4 - 7*j + 8*j**4 + 12199*j**3 + 1 - 12201*j**3 to the form r + s*j**3 + g*j**2 + b*j**4 + p*j and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (9 - 14) - 0 - (-2 + -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2 + 6286*j - 6285*j + 0 + 1. Let i(a) = 2*a**2 - 3*a + 2. Suppose -6*p = -5*p + m - 1, -3*p - 15 = -3*m. Let s = 1 + p. Give s*i(k) - 4*d(k).\nAnswer: -2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*12511\nAnswer: 6255.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d\/d**(-1)*d)*d*d)\/d**(-3\/4))**(-16) assuming d is positive.\nAnswer: d**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*v + 300*v - 41485 + 6601 for v.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.75289 * 0.1\nAnswer: -0.075289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:25 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(-4 + (5*(sqrt(1700) + (sqrt(1700) + sqrt(1700) + -3 + sqrt(1700))*1 + sqrt(1700)) + 2)**2) + 0.\nAnswer: -6500*sqrt(17) + 1062666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-25185)\/(-75) - 17)\/(1\/(-5)). Let x = -917 - o. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 4.6. Let f = 0 - u. Let k = 34 - 104\/3. What is the closest to 3 in f, k, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r + 33*r + 2*r.\nAnswer: 50*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2306 - -200620\/87. Let x = v + 35\/261. What is the nearest to -1\/4 in 4, x, 1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -919.\nAnswer: 2757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9154 rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 22*u**2 + 54*u - 54. Calculate d(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18203278 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-272)\/(-15)*54\/24. Which is smaller: x or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10160713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54417379?\nAnswer: 23, 53, 44641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-12)*c)\/(c*c**(2\/23)))\/(((c*c**(3\/5))\/c)\/(c*c**0*c)) assuming c is positive.\nAnswer: c**(-1229\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 316016712 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, h: 5}. What is prob of sequence uuu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.93 - 64.93. Let t = q - -63.8. Which is the nearest to -4? (a) t (b) -2\/17 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/23613 and -5\/8772.\nAnswer: 4061436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 2*z. Let a be k(-2). Let v(w) = -4*w - 3. Suppose -f + 222 = 207. Calculate the remainder when v(a) is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 1:45 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-14)\/(-12)) + (16 + 2 - -6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1003333110 (base 4) to base 3\nAnswer: 112011000020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-24)*8656\/6. Let h = 241 - r. Let f = -701\/8 - -175\/2. Calculate the common denominator of h and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1088) + -5 + (0 + sqrt(1088))*1 - (2 + -2*(sqrt(1088) + 1))) + -1.\nAnswer: -6 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 640822 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 955.9170247 rounded to 0 dps?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 4. Let l = f - 8. Let w be ((-1)\/l)\/((-1)\/9). Let i(t) = -2*t + 4. Calculate i(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(6)\/(sqrt(12)\/sqrt(6)))*-6.\nAnswer: -12 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.16732nm in meters?\nAnswer: 0.00000006816732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29527.4ug?\nAnswer: 0.0000295274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (21 - (16 - 6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 < -0.287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5372? (a) -1 (b) 0.5 (c) -4\/251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**3 - 7*c + 5. Let j(p) be the third derivative of p**6\/60 - p**4\/6 + p**3\/2 - 304*p**2. Calculate 5*j(v) - 3*x(v).\nAnswer: -5*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from vdyedwweewwewww?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) -4 (c) 0.5 (d) -0.1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/2, -12, 1\/6, 98, 267\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017774433 rounded to 4 dps?\nAnswer: -0.0178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 19535667 = 17384333. Round c to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 174\/10 + 8\/(-20). Suppose -7*h + 27 = s - 2*h, 4*s - 5*h + o = 0. Let i = 6 - s. Solve -3*v - 21 = 3*g, i*v - 4*g = 4 - 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5360*d + 67. Let r(l) = 243*l - 3. Let m(c) = 67*r(c) + 3*v(c). Let p(b) = -2*b**2. Calculate p(m(y)).\nAnswer: -80802*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1684248*l - 10887676.\nAnswer: 1684248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 0*f**2 + 7 - 6*f + f - f**2 + 2*f. Let b be g(-5). Suppose 6*x - 3*d - 7 = 4*x, -2*x = 4*d. Put -4, b, x in decreasing order.\nAnswer: x, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -17. Suppose -3*p - 15 = 0, 2*z + 4 = -f*p - 1. Let i = -11 - -19. What is the lowest common multiple of i and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 62 - 53 + 5*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72372.\nAnswer: 2, 3, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 20, 17, 14, 11, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430 and 165217266?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.639704 - 1.64. What is y rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/3 + 40220*c**3\/3 - 402334*c**2\/3 + 442616*c - 482880 = 0 for c.\nAnswer: -20120, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*w - 11, 3*c - 3 = -2*w - 2*w. What is the derivative of -7 - 6 + 0 + c*b + 3 wrt b?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-9)\/m)\/(m\/(m*m\/m**(3\/5))*m))\/(m**(-1\/4)\/(m*m**(-4\/5))))\/((m\/m**(-2\/19))\/(m*m**12))**(5\/14) assuming m is positive.\nAnswer: m**(-15699\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -83*n - 78. Let u be c(-1). Let j = -1.9 + 2. What is the fourth smallest value in u, -2, 2\/11, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + -65. What is the remainder when 24 is divided by f\/(-6) + (-3)\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 15 = 5*w. Let s = -9772 + 9776. What is the nearest to s in -2, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 18. Let j(v) = 3*v**2 + 13*v - 4. Let w(q) = 7*q**2 + 27*q - 8. Let s(n) = x*j(n) - 4*w(n). List the prime factors of s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -1\/100*v**5 + 0 + 6*v - v**2 + 0*v**4 + 0*v**3. Let p(x) be the first derivative of m(x). Factor p(f).\nAnswer: -3*f**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 20, 3 in decreasing order.\nAnswer: 26, 20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1096 = -0*y + 4*f, -f - 5 = 0. Let j be (712\/12)\/((-3)\/((-414)\/4)). Suppose -y = -5*n + j. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.049 - 0.149. Let m = 2 + -1. Let j = -0.1 + 0.2. What is the nearest to m in j, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -54764.6 and -4.1446?\nAnswer: 54760.4554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-32)\/(-6)*3)\/(6\/(-72)*-6). Solve -2*y + 14 = 3*a, 0 = 2*y + 27*a - u*a + 18 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29736 - 29732. Solve w - 5*s = -16, v*w = -2*s - s + 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -6) + 4617 - -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -36. Let d = i + 22. Solve -z + 3*z = d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.2084 rounded to one decimal place?\nAnswer: -65.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*s - 620*s = -2*l + 4*l - 21, -3*l + 3*s = -9 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 205 + 34 = 0. Let d = -182 + 440. Let n = d - 239. What is the highest common factor of n and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 194977755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -5, -4, -3021 in ascending order.\nAnswer: -3021, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3 - 6*w)*(-4*w + w + 7*w).\nAnswer: -24*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/30*5*(-4)\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -937683960 divided by -31256132\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 8*u - 10. Let p be d(-7). Let a = -1 - p. What is the units digit of 1 + 1 - 2\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*b + 17 = 0, -a - 4*b = -3*a - 18. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 6*j + j)*(-1 + 1 + j + (3*j + j - j)*(-1 - 10 - 3))*(-3*j**2 + 2*j**2 - j**2) as r*j + y*j**2 + v*j**3 + q*j**4 + b and give q.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = -0*r. Let w(g) = g**2 + 4*g - 1. Let u be w(r). Suppose -n + 172 = 3*n + u*d, -5*n + d + 185 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 19.4. What is the second smallest value in 0.02, t, -0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from 772154.\nAnswer: 772153.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2692 is divided by 127.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*n = -101, -4*m + 5*n = -88 + 9. Let s = -1627264\/13 - -124986. Let u = s + 188. Which is the third biggest value? (a) -5 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 + 3158*k - 912168.\nAnswer: -2*(k - 4428)*(k - 309)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**5\/20 - 2*w**4\/3 - 4*w**3\/3 - 11*w**2\/2 + 522*w. Let c = 17 - 8. Give g(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.5 and 0.147.\nAnswer: -0.9555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 256, 238, 200, 136, 40?\n\"Answer: -u**3 - 4*u**2 + u + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 12. Let w = n + 9. Is 99 + -1 + w\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c + 23 = 4*d, 0 = -5*c + 15. Let s = -5 + d. Let n be s\/(6\/22) - -2. Solve 5*w = n - 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 y, and 2 w when four letters picked without replacement from yawwlaiaiawwayaawl.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-13)\/(-2)*-2)\/(-2 - -1). Solve -s = -k - 3*h, h - 7 = -3*k - 0*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-5))\/(1\/4))\/(8\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 0.5, 4, 6\/5, -1\/4 in ascending order.\nAnswer: -47, -1\/4, 0.5, 6\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 995140.1 millennia to years.\nAnswer: 995140100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5590*f**2 - 612 + 1463*f**2 + 612.\nAnswer: -4127*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 152299.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (53 + 1)\/(6\/4). Let u = 181\/5 - t. Which is the biggest value? (a) -3 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 3:06 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4175 + 4180. Let j(w) be the first derivative of -3 + 11\/3*w**3 + 0*w**2 - 13\/5*w**f + 0*w + 0*w**4. What is the third derivative of j(o) wrt o?\nAnswer: -312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 5 + -4 + 2. Suppose -2*i - 144 = x*i. What is the tens digit of (381\/9)\/((-3)\/i) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {o: 1, n: 2, b: 3, m: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122282 by -5.\nAnswer: -122282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 8*p - 6. Let o be f(-8). Let d(z) = 5*z + 2 - 5 + z**3 + 1 + 7*z**2. Let r be d(o). Solve 5*b - 9 = i, 0*i - 5*b = -r*i - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 6)*(-3*j**3 + 14*j**3 + 6*j**3 + (1 - j**2 - 1)*(0*j - 2*j + j) + (5 - 2 - 4)*(-3*j**3 + 4*j - 4*j)).\nAnswer: 84*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*i - 20771 = 39*i - 5123 for i.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 23)\/(4*3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -1501*z**6\/6 + 672*z**2 - 49. Find the second derivative of v(i) wrt i.\nAnswer: -30020*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 4744203.081 to the nearest 100000.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five sevenths of a week?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128069 divided by 1.\nAnswer: 128069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/10)\/(2 - -1). What is the units digit of 32\/(-8) + (-6)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8*z**3 - 9*z**2 + 2*z - 18. Is n(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 + 58.99507. Round g to 4 decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/3 - (-100 + 87).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1660*o + 1688*o - 112 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (6 - (23 + 7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (56\/(-10))\/((-10)\/1525). Is 2\/(-5) + z\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 6*i - 1. Suppose -j - 2*b = -0*j + 1, 3*b = 6. Let l be p(j). Calculate the greatest common factor of l and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*c**2 + 4*c**4 + 37*c**2 - 6*c**6 + 59*c**2 wrt c?\nAnswer: -720*c**3 + 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.17 at least as big as 3\/304298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -1814*v**3 + 3120086*v**2 + 47199030*v - 156150 = 0.\nAnswer: -15, 3\/907, 1735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 258*u**2 - 21 + 5*u - 508*u**2 + u**4 + 252*u**2 to w*u**3 + n*u**2 + y + s*u + p*u**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 592 = -2*i + 3*i + 538, 0*a + 15 = 3*a + 3*i for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -18, 3, 4 in decreasing order.\nAnswer: 4, 3, -2, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -10*u + 1. Suppose -4 + 2 = -2*o. Let f(d) = 1. Let s(g) = o*j(g) - 4*f(g). Is s(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -208 - -407. Let w = p - 62. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 478667.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9173 to the nearest 100.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**8\/l*l\/(l\/(l*l**(-1)))*(l**(2\/3)\/l)**(-2\/25) assuming l is positive.\nAnswer: l**(527\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**3 + 5*i**2 + 3*i + 11. Suppose -2 = -3*b + b. Let k(q) = q**3 + q**2 + q + 1. Let x(u) = b*p(u) - 4*k(u). What is the units digit of x(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 1 + 2\/(-1) + -2. Suppose -q = -4*t + 10, 5*q - q + h*t - 17 = 0. Solve 3*z = q*z - 4, 5*z + 15 = 5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -624 divided by -6?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*k - 104 = 2*s, -3*k = 3*s - 312. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 + 35 = 0. What is the remainder when 16\/20*19*5 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**3\/3 + 3*n**2 - 5*n + 30. List the prime factors of z(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1) + -1 + (-2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -97680\nAnswer: 293040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 5491 = -5*q + c, -4*c = -3*q + 16508. Let d = 9388 - q. Let l = d - 1311. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-four sevenths of a week?\nAnswer: 92160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 732 (base 16) to base 9\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1299324 is divided by 505?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*c - 31. Let y(i) = i - 4. Let a be y(c). What is the third derivative of -p**2 + 3*p**6 - 2*p**6 - p**a wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 3*c + c)*(-3*c**2 + 0*c**2 + 4*c**2) + 892*c**2 - 516*c**2 - 494*c**2 - 3*c + 7*c**3 to q + x*c**2 + i*c**3 + k*c and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 4*v**2 + 5*v - 2. Let k be w(-5). Let s(j) = j**2 + j. Let l be s(k). Suppose 0 = 2*p - m - 5, 3*m - 10 = -3*p + l*m. Solve r = -p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**2 - 4*p - 6. Let x be l(-3). Let i = -246 - -201. Let w = x + i. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 405*j**2. Let i(f) = -7*f**2. Determine i(v(t)).\nAnswer: -1148175*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1085554 minutes to hours.\nAnswer: 0.03514259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 286*n - 283*n = -6*k - 6, 0 = 3*k - 2*n + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 3*u + 2)*(-2 + 0 + 1) + 4*u + u - 3*u)*(3821*u - 9099*u - 8321*u - 7019*u + 3402*u) to the form x + d*u + k*u**2 and give k.\nAnswer: 17216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.657 + 0.857. Let n be 12\/9*-1 - -1. Let y = 1 + -2. What is the closest to n in 0.1, t, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 37*c - 32. Let r be -3 - (-6 - c - 4). Let a = -4 - -6. Solve a*h - r = -1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 8*x**2 + 8. Give z(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a. Let j = -21 + 13. Let t(m) = -11*m**2 + 8*m. Let p(i) = 7*i**2 - 5*i. Let b(q) = j*p(q) - 5*t(q). Determine o(b(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 28 = z, q + 0 = -z - 2. Suppose 45 = 2*r + z*r. Suppose t - r = 9. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**6\/126 - 11*j**5\/70 + j**4\/3 - j**3\/3 + 19*j - 60. Let z(t) be the third derivative of r(t). Factor z(g).\nAnswer: -4*(g + 7)*(5*g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1432440 by 59.\nAnswer: -1432440\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-3 - (-1 + -1)). Suppose v = -5*w + 31, -5*v + 169 - 34 = u*w. Calculate the remainder when 51 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14797.61 + 1648.2?\nAnswer: 16445.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.8 * -2.05.\nAnswer: 32.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 327 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -5*o**6\/96 - 19*o**5\/30 - 79*o**4\/32 - 3*o**3\/4 + 273*o**2. Let f(y) = 0. What is y?\nAnswer: -3, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/294 and 43\/1582?\nAnswer: 33222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3834760549 and 16.\nAnswer: 3834760565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 326104 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8427217*n + 212 = -8427221*n, -67*o + n = -388 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -5 (c) -3\/4 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - o - 2*o - 3 + o. Let j be w(-5). Is (-255 + -2)*j\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2306.8730653 and 0.17.\nAnswer: -2306.7030653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 3\/7 (c) 1 (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10391000 to the nearest 100000.\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1586 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 + -89. Suppose 17*g - 300 = f*g. What is the highest common divisor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**7\/105 + b**5\/15 - 9*b**2\/2 - 6*b. Let h(p) be the first derivative of r(p). What is the third derivative of h(k) wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/(sqrt(3)*-4) - ((2 + sqrt(162) - sqrt(162))**2 - sqrt(18) - sqrt(18)).\nAnswer: -4 + 21*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 21 = 3*u, 0 = -2*u - 2*u + 4*n + 36. What is the second derivative of -68*g - 18 + u*g**3 + 6*g**3 + 69*g wrt g?\nAnswer: 108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/21 + 1\/7. Let h = -0.4 + -3.6. Suppose 3*u - u = 8. Put h, f, u in increasing order.\nAnswer: h, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84804, 84834, 84864, 84894, 84924, 84954?\nAnswer: 84984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.98 - 2.48. Let w = 1.25 - 2. Let c = w + x. What is c rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/(-243))\/((-5)\/(-60))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1611 = d. Let j = 794 - d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4 = -x. Suppose -3*g = -h - 66, -x*h + 6*h = 0. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*a + 380. Suppose -2*i = -0*i - a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 2:58 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 815764459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1716 - 5?\nAnswer: 1711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l\/(l\/(l*l**(2\/39)*l)))*l*l**(2\/25)*l*(l**(-1\/11)*l)\/(l\/l**(8\/5)*l) assuming l is positive.\nAnswer: l**(27218\/10725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ba - 118?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*s + 1026*s - 66630 = 65284 - 52414 for s.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -416728118*r. Let i(p) = 2*p**2. Calculate z(i(t)).\nAnswer: -833456236*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxk when three letters picked without replacement from kkxxxxx?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**6\/120 - x**5\/24 + x**4\/12 - x**3\/12 + 4*x**2 - 2. Let v(i) be the second derivative of g(i). Factor v(j).\nAnswer: (j - 1)**2*(2*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(6)\/(sqrt(1400)\/sqrt(7)).\nAnswer: sqrt(3)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 406317 to the power of 1\/2, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**10\/j*j**(2\/65)\/j assuming j is positive.\nAnswer: j**(522\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 - 1. Let j be f(-1). Let o be (j\/(-8))\/((-2)\/(-4)). Suppose i + o - 4 = 0. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 equal to 207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 19. Let p(i) = 1. Let g(a) = -4*p(a) + z(a). Suppose 78 = 2*v + 4*v. Calculate the least common multiple of g(v) and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 22 = 5*r, 2*r = 5*h + 90 - 65 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -50466789.2 to the nearest ten thousand.\nAnswer: -50470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + s - 1. Let c(w) = -5*w**3 - 4*w**2 - w - 2. Let m(z) = -b(z) + c(z). Is m(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -7 + -11 - (-2 - (-4 - -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, a: 1, o: 6}. What is prob of sequence ao?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 16 - 52 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k - 26. Let u be n(0). Let j = 31 + u. Suppose 5*z + 115441 = 5*y - 9574, 2*z - j*y = -50015. Round z to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 5*i - 10. Let n be k(6). Let x be 20\/(-6)*6\/n. Suppose 4*b + v = 136, -4*b = -b - x*v - 125. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(0 - -24) + (-12)\/(-16). Suppose -5*w = -3*u - v, -13*u + 14*u - w - 1 = 0. Solve -u*a + 4 = -5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 - 2*q. Let c(l) = -l. Let y be c(4). Let p(d) = -47*d**2 + 2*d - 18. Let b(v) = y*f(v) - 4*p(v). Find the first derivative of b(g) wrt g.\nAnswer: 392*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14427 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**2\/2 - 14*f + 6. Let r be t(-17). Let m = 21 + r. Which is the closest to m? (a) -1 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 11*j + 7. Let u be z(11). Let d = u - -10. Suppose -d = -6*l + 37. What is the remainder when 35 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 84\/16 - (-2)\/(-8). Solve 2*r = a*h - 17, 7*h - 4*r - 13 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/209703654 and -62\/33.\nAnswer: 2306740194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007164 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 0*b**2 - 2*b**2 + (-b**2 + b**2 - 2*b**2)*(1 - 1 - 2) + (-5*b + 0*b + 3*b)*(-3*b - 2*b + 3*b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r - 6. Let b(g) = 59*g**2 + 466*g - 46. Let q be b(-8). Give a(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -1.72?\nAnswer: -0.0344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {u: 1, b: 2, s: 8, h: 7, n: 1, g: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*v - 8 - v)*(2 - 2 - 4*v**3).\nAnswer: 12*v**4 + 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 167ca - -2?\nAnswer: 167cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10*-4*(-9)\/360*5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/7))**(43\/3))**(-3\/8) assuming y is positive.\nAnswer: y**(-387\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**2 + 41468360*t + 107476555068100 = 0.\nAnswer: -5183545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 18309?\nAnswer: -2\/18309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - n - 23*n**3 + n.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -148078 greater than -148073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(91)*-1*1)\/(4*sqrt(1008) + sqrt(7)).\nAnswer: -3*sqrt(13)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p\/p**(-5\/3))*p)\/(p**2\/p)*((p**0*p*p)\/p)**47*((p\/(p*p**(-2\/5)*p*p))\/(p\/(p**2*p)))**50 assuming p is positive.\nAnswer: p**(202\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 1088 + 531 + 564. Let i(v) = -v + 1. Give 4*i(g) + z(g).\nAnswer: -g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12 - ((4 - 2) + -1). Let f(j) = j**2 + 11*j - 24. Let o be f(k). Solve -4*g - 2*x + 5*x - 7 = 0, -o*g - 5*x + 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 21. Suppose h = r*h. Let f = 2 - 4. Which is the nearest to h? (a) f (b) -1\/3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6\/83, 222, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/2 + (-1)\/(-2). Suppose 0 = -n - 3*n - 4*z + 408, -2*n = -2*z - 192. What is the highest common divisor of d and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 22 = -2*l, -4*l + 76 = -0*l - 20*c for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 + 117*k**2. Let g be h(-39). Solve 47*o + q = 48*o + 5, g = 3*o + 4*q - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-1))\/((-55)\/44) - 4. Let z be 2\/(-6) + 14\/46. Which is bigger: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.1 (b) -0.15 (c) 34 (d) -5 (e) 0.11 (f) -0.5 (g) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 143, -0.3 in increasing order.\nAnswer: -4, -0.3, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(11) - (-1 + sqrt(1584))**2) + 0 + sqrt(1331)*-2 - (3*(sqrt(1584) + 3 + (sqrt(1584) - (sqrt(1584) + 2) - sqrt(1584))) + 4).\nAnswer: -1589 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*(2\/(-16))\/(16\/160). Suppose 66*v - 56*v - l = 0. Let x(d) = -5 + 3 - 6*d + 1. Give x(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15900, -15986, -16072, -16158, -16244?\nAnswer: -16330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/(-378)*(-12 - (0 + 9)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkfkkkkfkkkkfk. Give prob of sequence kfkf.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 7*y**3 + 4*y**3 + 2*y**3.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 345120865 - 345120865 - 15017*r in the form b + j*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**6\/120 + l**5\/12 - l**4\/4 + 2*l**3 + 29*l**2. Let v be (-2)\/3 - 80\/15. List the prime factors of y(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*x + 262*x = 44. Factor 9\/5*b**x + 3\/5*b + 6\/5*b**3 + 0.\nAnswer: 3*b*(b + 1)*(2*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 3, -1, 58388, 4 in descending order.\nAnswer: 58388, 4, 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 8*d**2 - 8*d - 3. Let i be o(-7). Suppose -i*m = m. Let j(s) = -s - 7. Give j(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17898?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 298 divided by -2\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162 + (3 - 1) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-376)\/32 + (-2)\/8. Let u be (v\/(-10))\/(2\/5). Determine n so that 0*n**2 - u*n**2 + 6 + 0*n**2 + 0 + 3*n = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**5 - 3*c**4 + 9*c**3 + 15*c**2 + 6*c = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188685414.\nAnswer: 2, 3, 17, 347, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -313 + 332. Suppose 5*r = 3*p + f - 5, -4*p - 3*r = -20. Solve -5*w + 5 = p*h - 23, 32 = 5*w + 3*h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1537617 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 80062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5832075206 to the power of 1\/3, to the nearest integer?\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-15.38.\nAnswer: -1.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n - 29 = -2*b, 0 = -5*n + b - 136. Let h be -3 - (-1 + -1 + 30). Let g = n - h. Solve -g*a + 1 = 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/60 - 5*n**4\/4 - 155*n**3\/6 - 2*n**2 + 626. Determine o(35).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 1. Suppose -4*o - 8 = -6*o - 2*q, q = -p. Solve o*y - 2 = -12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-253)\/(-44) - (-2)\/8. Let w be r\/(-4) - (-70909)\/46. Suppose 2*o - 8026 - w = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*a + 23, 2*a + 26 = 3*t + 9. Let y(n) = -10*n**3 - 5*n - 5. Let w(k) = -11*k**3 - 6*k - 6. What is t*w(l) - 6*y(l)?\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (66\/(-8))\/(1\/20). Let m = -117 - z. Suppose 3 = 3*t - m. Calculate the remainder when 50 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.748 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1632568597 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71957329*b**3 + 10358486*b**2 wrt b.\nAnswer: -431743974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -39, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9840*j**3 - 24*j**2 + 98*j - 64. Let x be g(16). Round x to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12518, -13000, -13482, -13964?\n\"Answer: -482*p - 12036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/13))**(3\/8)\/(k**(-1\/4))**(-16) assuming k is positive.\nAnswer: k**(-205\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1468 - 1476. Let u be 3\/(-9)*(4 - 35). Let j = 10 - u. Which is the nearest to j? (a) -2 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from ccdcd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 0.624, -2, 3\/7 in ascending order.\nAnswer: -2, 3\/7, 0.624, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 37. Let g(j) = j**2 - 4*j - 13. Let s be g(o). Suppose -3*v + 49 = -d, -4*v + s = -d - 0*d. Calculate the remainder when 27 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*l - 45*l + 6*l)*(-3*l + 5*l - 4*l)*(37*l - 8*l + 3*l).\nAnswer: 6528*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 1)\/((-2)\/28). Suppose -5*m + i = -1. Suppose 5 = 5*p - 5*b, 290 - 293 = -4*p + 5*b. Put m, 4, -6, p in descending order.\nAnswer: 4, m, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.72613 and -574670.\nAnswer: -574669.27387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -8 - (1 + (-9 - -48) + 3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 164. Let s(f) = 293 + 266 + 2*f**2 - 858 + 273. What is g(s(r))?\nAnswer: -2*r**2 - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 134, 0.5, -4, -4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9095.6572 rounded to the nearest one hundred?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -19*n - 2. Let c(v) be the third derivative of v**5\/30 + 16*v**2. What is c(a(l))?\nAnswer: 722*l**2 + 152*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-14)*(-39284)\/8418\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20806 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-27))\/(-22*(-1)\/(-1)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-7))\/(4\/84). Suppose -l + y = 9, -y = y + 2. Let z = l - f. Solve -z*h + 9 = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -22*n - 7. Let z be b(4). Let t = -53 - z. Let j = t + -15. What is the greatest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*q - 3*q**3 + 9*q**3 + 4*q**3 - 4*q**3 - 3*q**4 + 3*q**2 = 0. Calculate q.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/19 (b) -2 (c) -2\/11 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1713*d - 1713*d - 610*d**2 as f + i*d + p*d**2 and give p.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m - 3. Suppose -6*r = -m*r + 3*l + 9, 9 = -2*r - 3*l. Suppose 2*s + 0*s = r. Solve -b + i + 2 = 0, -9 = -4*b - s*b + 5*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n + 3*n**2 - 6 - 3*n**2 - n**2. Let a be k(-8). Calculate the highest common divisor of 70 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 20 = -5*d, -2*d - w = -5*w + 26 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 982386036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t + 3*d + 33, -15 = -3*d. Which is smaller: t or 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -22*l. Let v(y) = -7*y. Calculate w(v(t)).\nAnswer: 154*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j - 1 + 11*j + 2*j**2 + 6*j - 4*j**4 - 3*j**2 to c*j + f + q*j**3 + u*j**4 + s*j**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) - ((2*sqrt(80) - sqrt(80)) + 3)**2 - (sqrt(80) + sqrt(80) + 2 + 3 + sqrt(80))**2 - (-1 + (-2*sqrt(80)*3)**2 + -2 + -2*sqrt(80) + sqrt(80)).\nAnswer: -3711 - 136*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25018822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 1 - (1 - 7). Let m be (a\/(-10))\/((-8)\/20). Let q = m + -1. Solve -6*f + f - 5 = q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 636864 and 2285568.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**2\/2 - 3*t - 2. Let y be n(7). Suppose 5*l = h + 12, -y*h - 8 = -h - l. Which is the closest to 0.1? (a) -3 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v. Let h(p) = 7*p + 2*p**2 + 10*p + 5*p - 3*p + 3*p. Determine o(h(r)).\nAnswer: -10*r**2 - 110*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 4)*(-1)\/(-1). Suppose h = -0*h + 775. Suppose -j + h = n*m, -3 = j - 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 - (6 - (2 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679*w**2 - 13610*w**2 + 56 - 2739*w**2.\nAnswer: -15670*w**2 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 164433536?\nAnswer: 164433542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 0*l + 0*l**2 - 10 - 11\/5*l**5 + 0*l**4 + 4*l**3. What is the third derivative of d(v) wrt v?\nAnswer: -264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/43054 and 117\/836.\nAnswer: 86108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 3, -23, -61 in increasing order.\nAnswer: -61, -23, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 13617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + i + 9, -n - i = i + 3. Suppose 0 = 14*q - 9*q + 5, 5*q - 97 = -3*c. Solve n*x - c = -9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1031, -1037, -1045, -1055, -1067, -1081, -1097?\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/263 not equal to 3\/277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0.0949\nAnswer: -6.9051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -230, -3 in increasing order.\nAnswer: -230, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-360*z + 360*z - 82*z**2)*(15*z - 10*z + 23*z).\nAnswer: -2296*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2151014245930 and 0.1.\nAnswer: -2151014245929.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 7260?\nAnswer: 14520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n + 4*g = -1092, 0 = -3*n - 5*g + 1693. Let a = 1033 - n. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 42 = 147 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 5*y + 4*v, v + 3 + 2 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 1094159*i - 1094158*i + 3*n, 2 = 2*i + 4*n for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + 0 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20487 - 20546. Put -10, p, 2 in ascending order.\nAnswer: p, -10, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 29 = -5*f, -t - 2*f + 7 = -6*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 706, 709, 712?\n\"Answer: 3*u + 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (100\/(-2))\/(28\/(-1232)). Suppose -2*i - 19*r = -24*r - u, -i + 2*r + 1100 = 0. What are the prime factors of i?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 n when four letters picked without replacement from {w: 11, n: 5}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*a - 148*a**3 + 93*a + 43*a wrt a.\nAnswer: -888*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51869 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.88248 (b) 384\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 303873139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 12 = -12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 6*x**2 - 16*x - 7. Let m(g) = -5*g**2 + 16*g + 9. Let j(q) = -7*k(q) - 6*m(q). Find the second derivative of j(c) wrt c.\nAnswer: 42*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91400 + -53480. What is the ten thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011011000 - -11001101101?\nAnswer: 111101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2 + 10*y - 25 = 0. What is y?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 611.3792 centimeters?\nAnswer: 6113792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - 2*f)*(3*f - 3*f - 15*f**2) + 3*f**2 - 2*f**2 + f**3 + 0*f**2.\nAnswer: 31*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2230*c - 21. Does 17 divide z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 38 = 5*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1611 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 s when three letters picked without replacement from uussuebhu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - sqrt(180)\/(sqrt(48)\/sqrt(4)))\/(-1*sqrt(180)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -26.4. Round v to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d**3\/d))*d*d**(-1\/7))\/(d**6\/d*(d*(d**(-1)\/d)\/d)\/d))\/((d**(2\/9))**(-1\/35)\/((d**(-2\/3)\/d)\/d)**(-2\/67)) assuming d is positive.\nAnswer: d**(-1201\/21105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 153*g - 156*g - 5*j + 66, 5*g + 3*j = 62. Solve 2*k - 9 = -g*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 + (-2)\/(2 + 0\/1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2564 = -5*m + 2312, 0 = -4*y - 5*m - 242 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 1876.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2. Let h = 3.5 + -3. Which is the closest to k? (a) 0.4 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/4 - 20*u**4\/3 + 105*u**3\/2 - 4*u + 136. Let q(j) = 0. Calculate j.\nAnswer: 0, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -41*d - 31. Calculate the remainder when i(-2) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-61942)\/(-24) - -10*27\/3240. Is i less than 2583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*2923.\nAnswer: 32153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 348816259.4312278590851003 + 0.5687774409148997. Let c = j - 348816241. Let i = c - 19. What is i rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 49 - (-64 - 6 - -63)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 383174.29977 + -383209.3. Let q = 0.51 + -35.51. Let c = q - j. What is c rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465366318.\nAnswer: 2, 3, 41, 113, 16741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-45)\/25 + 1 - 188\/(-10). Solve -7*f + v = 32 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9849097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -25*q**2 - 2*q + 1. Let d = 664 - 663. What is b(d)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 935 - 132*l - 149*l + 462*l - 180*l.\nAnswer: l + 935","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-26)\/(o\/((o\/o**(3\/5)*o)\/o)))\/(o**(9\/8)*o*o**24))**(-12\/17) assuming o is positive.\nAnswer: o**(6327\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - (-2 - (-9 + 6) - -3)) + -11.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2198 - 1225 = -2*c, -c = -2*k - 1712. What is c rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(66\/(-11) - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.3708784 minutes?\nAnswer: 0.03951464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 132, 144, 162, 186, 216?\n\"Answer: 3*z**2 + 3*z + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -154, -287, -418, -547, -674, -799, -922?\n\"Answer: u**2 - 136*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**6\/120 + 11*i**5\/60 + 11*i**4\/24 + 2*i**3 + 8*i**2. Let z be v(12). Solve d + 0*d = z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 + (14 - -41 - 20)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/(-945)*(-37)\/(-5). Let y = x - -1\/525. Let q = -223\/5 + 44. Which is the closest to y? (a) -4 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.6 and -19.\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*n, -3*h + 4*n - 2 = -0*h. List the prime factors of 3\/h*40\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -dd4?\nAnswer: -dd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -214*f**2 - 38*f + 110363 wrt f.\nAnswer: -428*f - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x + 7. Let d(w) = 5 + 3 + 4*w + w. Let o(y) = -3*d(y) + 4*s(y). Let f be (2 + 3)\/(-1)*(-16)\/(-20). Determine o(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1021 * -0.01.\nAnswer: -10.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-245)\/(-40) - 6) + (-6780)\/54112. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 497, 498, 499?\n\"Answer: w + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, 854, 1.19?\nAnswer: 854","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 334413 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1 = -2*x - 4*c, -4*c - 35 = 5*x. Let q be (5 - 3)\/(2\/4). Suppose -4*s - 14 = -2*w, 7 = -q*s - 1. Sort x, w, 0.\nAnswer: x, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**3 - 733339*i - 8213883.\nAnswer: -6*i**2 - 733339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 - 3*t**3 - 7*t**3)*(-5 + 3 + 0)*(-2 + 2 - 2*t).\nAnswer: -40*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = 32. Let c = 39 - o. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24804 divided by -3?\nAnswer: -8268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 17 - 1 = 0. Let y = h + 12. Solve -2*g = y*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -367*w + 375*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18653186 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*b**3 + 2540*b**2 - 27488*b + 8880.\nAnswer: 4*(b - 10)*(b + 222)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 6. Let x be ((-4)\/10)\/(n\/165). Suppose 2*t = -t + x. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 2*o - 19, 4*y = -2*o + 16 - 32 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*x = a + 233*x + 149 + 22, 0 = 3*a + 5*x + 430 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4027 and -0.43.\nAnswer: -4027.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 8, -315\/16, -4, 1\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2 = d. Let v(n) = -9*n**2 + 2*n + 5*n**2 - 2 - n**3 - 6*n + 2*n**2. Calculate v(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15968 + 16037.01. What is d rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 18*r**2 + 25*r - 78. What is the hundreds digit of c(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 17. Let w be s(0). Let r = -5 + w. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 0. Let t be c\/8 - 39\/(-12). Suppose -3*v - 2 = -r + v, v = 2*r - 4. Solve u - r*m + 21 = t*m, 9 = u + m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -76e + -5?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -68*n - 100. Let q be k(-2). Let b = -21 + 30. What is the greatest common factor of b and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 52 - 44 = 0. Suppose y = 4*g + 40. Solve 1 = k + g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(-5 + ((5 + sqrt(27))**2 + -2 + sqrt(48) - ((sqrt(30) - sqrt(120)\/sqrt(4)) + sqrt(30))\/sqrt(10)*6)).\nAnswer: 42 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 + 8*o**3)*(5 + 2 - 6) + 2*o**3 - 3*o**3 - 3*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 12 = -4*a, 4*z + 1388*a = 1392*a + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*j + j + 3*h, -4*j = -2*h + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*a + 5*g + 23 = -663*a, a - 20*g = 79 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 - 139*w**2 + 1337*w + 28. Give j(58).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 7:56 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*-12*2\/90.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 67*p + 62*p + 20, -20 = 3*q - p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -386, -371, -344, -305?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 26. Let o = h + 1. Let d = -55.3 - -55.1. Which is the second smallest value? (a) -0.1 (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*-2*sqrt(200) + -3*(-2 + sqrt(200)) + -2 + -4)**2.\nAnswer: -20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, 2\/9, -10\/3, 5, 1 in decreasing order.\nAnswer: 5, 1, 2\/9, -0.3, -3, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*c = -0*c, -5*i + 3*c = -27. Suppose 5*p + 11 = -4*a, -5*p - 14 = 3*a - 7. Suppose 0 = 5*f + q, -4*f - 30 = -5*q - p. Sort i, 5, f.\nAnswer: f, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*n - 24, 5*d - 30 = -5*n + n. Let q be ((-4)\/(-138))\/(d\/(-18)*4). Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.422082um in meters?\nAnswer: 0.000008422082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + a - 2*a + (2*a + 0 + 0)*(-6 - 10 + 2))*(a + 8*a + 13 - 14) to t*a + m + w*a**2 and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -43 - (2 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/136 and -33\/764?\nAnswer: 25976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3654758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 347 + 1342. Suppose 3*k - 21 = -y + 37, 4*y + k - q = 0. What is the remainder when y is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {z: 1, k: 12, t: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 + 37*b**2 + 56*b**2.\nAnswer: 86*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, 1, 0.09756, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = 5*b + 4*y, -b + 15 = 2*y - 8 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 83*x**7\/210 - 55*x**3\/3 + 63*x**2 + 2. Differentiate r(m) with respect to m.\nAnswer: 332*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 554*w**2 - 4825*w - 21. Give m(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -13 - 10*k + 15 + 21*k + k**3 - 12*k**2. Let w be m(11). Let s(h) = 5*h - 4. Calculate the lowest common multiple of 10 and s(w).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 3. Let p(y) = -5*y + 10. Suppose -8*z - 267 + 243 = 0. Calculate z*p(r) + 8*i(r).\nAnswer: -r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3*m - 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29660 is divided by 3295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 equal to -6576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -909*g + 2 - 30 = -881*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 = 3*p - 0*r, -r + 18 = 4*p. Suppose -90 = -p*u + 280. Suppose 0 = -m - 4*m + 95. Calculate the remainder when u is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 2*y + 4. Let k be h(0). Solve -k*p - 2*w = 12, 2*w + 10 = -2*p - w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100101 + 10010?\nAnswer: 100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -5. What are the prime factors of -1 + (-2)\/(h\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1614 + 814. Let y be 1\/(-4) + (-520)\/c. Solve 0*f + y*f**2 - 2\/5 = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a factor of 43023343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-60))\/((129\/129)\/(-1*(-12)\/(-9))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 + 15)*((-75)\/(-10) - 2). What is the greatest common divisor of 275 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 158, 0.38?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 43*k - 1. Let p be h(-2). Let g = p - -181. Suppose 5*x + g = 304. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/77 and 62\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*3*-4)\/(sqrt(36)\/sqrt(4)*-5).\nAnswer: 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let j = -31 - -27. Let m(t) = 2*t**2 + 2 - 7 + 2 + 4*t. Give m(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298398?\nAnswer: 2, 3, 41, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/sqrt(3) + 2.\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1494576 is divided by 99.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + 105 + 8 - -11.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-8)*(-2)\/(-1). Let v = 12 - y. Let t be 587\/13 + (-14)\/91. Calculate the highest common divisor of t and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*n**3*w - 121*b*n**3 - 3*b*w**2 + 4*n**3 - 140*n**2*w**2 wrt w?\nAnswer: 2*b*n**3 - 6*b*w - 280*n**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -841 divided by 152.\nAnswer: -841\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23.0639 from 55.327.\nAnswer: 78.3909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832)*-1 + 5.\nAnswer: -8*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -69 (b) -13\/10 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**4*u + 2083825*p**3*u - 37*p**2*u + 7*p*u + 105*p + 2*u - 13 wrt p?\nAnswer: -72*p*u + 12502950*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**2*v**3 - 237*f**2*v**2 - 2*f**2 + 2*f*v**3 - 123*f*v**2 wrt f.\nAnswer: -12*v**3 - 474*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (1 - (3 - (-15)\/(-5))). What is the fourth smallest value in z, -3, -0.01, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.1 (c) -0.5 (d) 1\/8 (e) -29.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/(-55 - (-64697)\/1178).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*u = -u, -5*f = -4*u. Let a = -0.13 - -2.16. Let w = 1.89 - a. Sort w, 4, f in decreasing order.\nAnswer: 4, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5790697 is divided by 103405.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 218008 (base 12) to base 11\nAnswer: 333968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.128, -7, -6.7?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 9108\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/420 - v**5\/210 - v**4\/21 + 4*v**3\/21 + 8*v**2. Suppose z(m) = 0. Calculate m.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14174797, -28349605, -42524413, -56699221, -70874029?\nAnswer: -85048837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.058477292 * 2.9\nAnswer: -0.1695841468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 4:50 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4331*t + 51913. Determine f(12).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2 + 0 - 2*a - 4.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 35 + -1 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 61 = -5*z, -z - 3*c - 3 = -8. Solve 2*i = z - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/21 + (-5860)\/(-420). Solve 0 = 15*a - j*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -3. Suppose -287 = 7*z + 119. Let w = 63 + z. Solve 0 = -3*i + o, i - 10 = w*s - 2*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (816\/108 - 8)*(-3)\/22?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.46 + 0.5. Let s = g - 0.025. Let r = s + -0.077. Round r to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40348 and 4928.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753*b + 366*b + 5*b**3 + 324*b.\nAnswer: 5*b**3 - 63*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*q + 117 = 262*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + -4 + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(8\/3)*o**2)\/(o**(-1\/6)\/o)**(-4\/5) assuming o is positive.\nAnswer: o**(56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928580 not equal to 1928579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -5*b**4\/12 + b**3\/6 - 21*b**2\/2 + 95*b. Differentiate u(w) wrt w.\nAnswer: -10*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47345555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27532676 is divided by 307.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -30. Suppose 4*y - 5*y = u - 4, u + 5*y = 8. What is the highest common divisor of q and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*h - 5*h - 7*h - 2 - 2*h as k*h + d and give k.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 345\/2 or 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2443 = -457*y - 9896 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1140026, 2280274, 3420524, 4560776, 5701030, 6841286, 7981544?\n\"Answer: d**2 + 1140245*d - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocbaa. Give prob of sequence aba.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 26 = 2*s + 18, 13837*f - 13834*f - 59 = -s for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f. Let g(q) = -6*q**2 - 21*q - 3. Let a(y) = g(y) + 5*l(y). Suppose -13*m + 10*m - 33 = 0. What are the prime factors of a(m)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + 81?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 3:46 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*y = -71, -4*m - 4*y = y - 104. Let d be 14\/(-8) + 3\/(-12). Calculate the remainder when 203\/5 - d\/5 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -170006\/21 + 8099. Calculate the common denominator of q and -37\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 160*f + 155.\nAnswer: 5*(f + 1)*(f + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*r - 1120, 532*q - 4548 = 528*q + 3*r. Calculate the highest common divisor of 80 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (255\/(-1190))\/(((-144)\/14)\/(-2)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 16) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/21*5\/(15\/(-3))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**6*g*g)\/(g\/g**7) assuming g is positive.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -103, -108, -127, -166?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*(-4 - (-5 + 0) - 6\/10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 7:08 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 690437 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 0.4 in descending order.\nAnswer: 2, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5830 - -494.\nAnswer: -5336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/12 (b) -81 (c) -9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 2. Let t be (-2)\/(-4) + o\/(-6). Let g(z) = z - 1. Let d be g(t). Which is the smallest value? (a) d (b) -1\/8 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1929565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 1:34 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -5*y - 11. Let l = -8 - y. What is the third derivative of -n**5 - l*n**2 + 2*n**2 + 3*n**5 wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 11010?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 800\/(-72) + ((-726)\/22)\/(-3).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*o + 17, o - 9 = -2*h + 2*o. Solve -h*z - d + 10 = 0, 3*z = -d + 2 + 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.32161 milligrams in grams?\nAnswer: 0.04732161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*p = -85*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 - 0 - (-3)\/(-3). Let m be (-21)\/(-14)*(-16)\/u. Solve 5*w - 19 = -2*d - 0*d, 3 = 3*w + m*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(5)*1 + (-1*(sqrt(5) - sqrt(20)\/sqrt(4)) + sqrt(640)\/sqrt(8))**2)*-2.\nAnswer: -158 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**2 + k**2 - k**2)*((k - 4*k + 5*k)*(3 - 3 + 1) - 657 + 1511*k + 657) to the form l*k + w + b*k**3 + c*k**2 and give b.\nAnswer: 1513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3225, -6348, -9367, -12282, -15093, -17800, -20403?\n\"Answer: 52*r**2 - 3279*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/30 and 29\/55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrr. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -124*v + 1590. Give b(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14341417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 21. Let w be b(10). What are the prime factors of w\/(3\/(-123)) - (12 + -9)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 630\/2 + -21 + 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b1d + 3991?\nAnswer: 54ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - o - 14, 4*o + 3 = -4*h - 5. Suppose -h*x - 2*x + 148 = 0. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -26. Let z = r - 11.5. Let c be 4\/(-10) - (-1)\/5. What is the third smallest value in 5, c, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -104\/18585 and 79\/1652.\nAnswer: 74340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108240?\nAnswer: 2, 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/104 and -155\/528.\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4087 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1496 (b) 0.4 (c) 0.5 (d) -0.4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 39. Which is the second smallest value? (a) -5 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/33627?\nAnswer: 7\/33627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2*f - 233 = 4*i, 83*i - 87*i = 5*f + 120 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u*u*u*u**4))\/u))\/(u\/(u\/(u\/u**14))*u*u) assuming u is positive.\nAnswer: u**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 339990678931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17274349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -40432 divided by 76?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.244 + 0.744. Suppose -5*w - 4 - 6 = 0. What is the closest to 3\/4 in -2\/9, w, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71704 or 71729?\nAnswer: 71729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*m - 34*m, 4*l + 5*m = 176. What is the least common multiple of 44 and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 6*t = 0, 12*y - 13*y + 3 = 2*t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 58, 63, 68, 73, 78?\n\"Answer: 5*r + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -66 (b) 0.2 (c) 3\/4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2086?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735622?\nAnswer: 2, 41, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1887*p**3 - 786*p**3 - 209*p**3.\nAnswer: 892*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -103744267.6.\nAnswer: -103744267.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*l - 7*t + 2*t, -l - 7 = 5*t. Let n(c) be the third derivative of c**5\/60 + c**4\/12 - 2*c**3\/3 - 2*c**2. Is 3 a factor of n(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 107483, 212994, 318505, 424016, 529527?\n\"Answer: 105511*n + 1972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 0 - 3*j**2 - 1\/6*j**3 - 4*j + 1\/12*j**4. Let v(k) = 7. Let t(s) = 4. Let d(n) = -5*t(n) + 3*v(n). What is -6*d(f) - y(f)?\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 6.\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -43, -53, -81, -133, -215, -333?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(204) - (1*sqrt(204) - sqrt(204))))\/(sqrt(24)\/sqrt(2)*-1).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 + 3*u**2 - 3*u**2)*(-3*u + 5*u - 3*u) + 66*u**3 - 68*u**3 + 17*u**2 + 47*u**2 to the form b*u**3 + z + w*u + l*u**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59bb - -27?\nAnswer: -5994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 19*w**5\/60 + 2*w**2 - 110. Let l(y) = -2*y. Determine l(b(s)).\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -17\/4*w**4 + 0*w + 289\/2*w**3 + 1\/20*w**5 - 87*w**2 + 0. Factor y(o).\nAnswer: 3*(o - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose -3*h + 9 = -6. Suppose h*l + 1 = 6. Is l less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + m + 0)*(0 + 0 - 2) + 23 + 5464*m - 23 + 523*m.\nAnswer: 5985*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(200)\/sqrt(4) + sqrt(50)))\/(3*1*sqrt(363)).\nAnswer: sqrt(2)\/330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4 + m**2 - 6 - 5*m - 2. Let c be s(7). Let d be ((-36)\/30)\/((-4)\/c). Which is bigger: 3\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 20 = -3*r. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 + 3*q + 2. Let f(s) = 4*s**2 + 3*s + 2. Calculate 3*f(n) - 2*y(n).\nAnswer: 2*n**2 + 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 8*q + 8. Let d = 12 + -5. Calculate the remainder when 43 is divided by k(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -43, -80, -137, -220, -335, -488?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -5. Let y(u) = -u**3 + 4*u**2 + 7*u + 2. Determine y(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235092243 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622393373.\nAnswer: 7, 157, 521, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28\/17 + -169\/51. Which is the biggest value? (a) -2 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + 1*(sqrt(125) + -1*(-1 + sqrt(125)) + (6*(sqrt(125) + 0))**2)*-3 + 4.\nAnswer: -13496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -129856 divided by 64\nAnswer: -2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18424 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 13*d**2 + 27*d - 43. Give v(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75450776 and 992?\nAnswer: 301803104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/11 + (-4 - -1). Let q = u - -101. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.696 rounded to two decimal places?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394195926.\nAnswer: 2, 3, 19, 3457859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 61.3. Let k = -5.2971 + q. What is k rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45338?\nAnswer: 2, 22669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3)*(-13*s + 26*s - 14*s)*(-1 + 0 + 2).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 23. What is the units digit of f\/(-4) - 135\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**3 - 15*o**2 - 2*o + 19. Let i(d) = 9*d**3 + 29*d**2 + 4*d - 37. Let s(y) = -11*h(y) - 6*i(y). What is s(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19, 39, 59?\n\"Answer: 20*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2. Let d(x) = 151*x**2. Determine u(d(r)).\nAnswer: 45602*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*q - 2 = 0, 2*c + 3*c = -3*q - 4. Let s = 6 + c. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98 and 429037.\nAnswer: 42045626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3\/s)**(2\/41) assuming s is positive.\nAnswer: s**(4\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60456816 or 0.1?\nAnswer: -60456816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25461 rounded to the nearest 100?\nAnswer: 25500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9867731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4036*z + 4033*z + 42 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 68.17. Which is smaller: 1\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, n: 4, j: 1}. Give prob of picking 4 l.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167221936?\nAnswer: 2, 7, 31, 48163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 7*w**2 - 4*w + 6. Calculate f(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 0, -4*s = 201*p - 199*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**5\/150 + j**4\/30 + j**3\/15 - 11*j**2\/2 + 15. Let y(a) be the second derivative of d(a). Solve y(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, x: 4, l: 2, i: 1, z: 4}. Give prob of picking 3 x and 1 i.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 108*x**2 + 499*x + 167. What is the least common multiple of 1815 and i(-103)?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7871403 (base 9) in base 5?\nAnswer: 2041130322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 3*f = 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7*z = 3*x - 82862, -5*z + 207170 = 5*x. List the prime factors of z.\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6471896391 to the nearest integer?\nAnswer: 80448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - r, 0 = -5*v + 5*r + 245. Suppose -5*n = 4*k - 65, 0 = -2*n + 3*n - 4*k - 13. Calculate the remainder when v is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26410 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yddd when four letters picked without replacement from dyyyydyyddyddddd?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3560 and 9858085.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 5)*(53*b - 8*b - 5*b) + 4*b + 3 - 3 to the form k + o*b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108\/127, 4, -15\/4, -1.39 in decreasing order.\nAnswer: 4, 108\/127, -1.39, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4046 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29389562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7976290789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2415, 4843, 7281, 9735, 12211, 14715?\n\"Answer: q**3 - q**2 + 2424*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b + 2. Suppose 0 - b = -o. Suppose 3*m = 5*i + 20, 2*i - 4*m = -0*m - 8. Put o, i, -2 in descending order.\nAnswer: o, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (50\/(-15))\/(1\/(-93)) is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001111000001 (base 2) in base 6?\nAnswer: -35225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(2 - 2 + 2 + (-1 + 0 + 0)*(2 - 1 - 4) + (-4 + 3 - 1)*(-4 + 0 + 2) + 1 + 1 - 19)*(0*i + 2*i + 54 - 32).\nAnswer: -16*i - 176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156) + 2*sqrt(156))*-4)\/(sqrt(300)*4).\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886 = 5*j - a, -3*j + 7*a = 2*a - 536. Let r = j - 80. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 - 15.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30878 - -30883. Solve 4*x - 22 = 2*n, -v*x - 29*n = -24*n - 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 3*c**2 - c - 2. What is p(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2550 by -6.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-12)\/g)\/g*g*g*g*g)\/g**(2\/5))**(-1\/4)*(g**2*g)**(-3\/4)\/(g*g*g\/((g\/((g\/(g\/((g\/g**(2\/5))\/g)))\/g)*g)\/g))**(-44) assuming g is positive.\nAnswer: g**(107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -186 - -202. Let y be 10\/27*(-6)\/8. Let p = 151\/9 + y. Which is bigger: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088529039 to the power of 1\/2, to the nearest integer?\nAnswer: 32993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 5*h**2 - 5*h. Let x be (0 + -1 + -5)*1. Let s(j) = -1989*j + 973*j - 3*j**3 + 1022*j - 6*j**2. What is x*v(u) - 5*s(u)?\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/11 - 148*j**3\/11 + 2834*j**2\/11 - 16224*j\/11 = 0.\nAnswer: 0, 13, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 - -10. Let z(a) = -a**3 - 19*a**2 + 10*a + 10. Let x be z(-20). What is the highest common factor of r and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -2, -3, -5, -72 in increasing order.\nAnswer: -72, -26, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2088 - 847. Let w = t + -777. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 - -9?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 705389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.1 - -11. Let j = 6 + -10. Let y = -2 + 5. What is the nearest to d in -0.2, y, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5425*k**2 - 4998*k**2 + k - 4982*k**2 + 15363*k**2.\nAnswer: -42*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 40. Give r(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -m + 412, 2*m + 0*s - 806 = -2*s. Let i = m - 709\/2. What is the common denominator of i and (-2 - (-37)\/(-5))*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 10*j = 121. Solve 7*h + 8 = 3*h + 4*r, r = -2*h + j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/135236 and 22\/3?\nAnswer: 405708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*g - 153 - 15 = 0. Solve -2*m - 26 + 4 = -4*o, g*m + o = -8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2) + 6 - 4 - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 0*g + 2*g + (-2 + g + 2)*(-2 + 1 - 1) + 2*g - g - 4*g - 3*g - 2*g + 7*g + 2*g + g + 0*g to the form o + t*g and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x - x)*(3*x**4 + 2*x**4 - 2*x**4) + (65*x**2 - 65*x**2 + 489*x**3)*(-x**2 + 0*x**2 - x**2).\nAnswer: -975*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*h + 27480 = 0, 0 = 3*b + 6*h - 9*h + 27480. What is b rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 788, -12, 3 in descending order.\nAnswer: 788, 6, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 29*t. Let o(p) = -28*p. Determine d(o(q)).\nAnswer: -812*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 859 + 447. Suppose 3 = -q, -4*f + 5*q + 142 = -z. Is 39 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 284.5?\nAnswer: 170.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ppupuwupup.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 22 - 122 = 26 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.048449, -1, -2\/3.\nAnswer: -1, -2\/3, 0.048449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*a - 0*a. Suppose 2*t = -4 + a. Suppose 0 = -t*j + 36 - 0. Calculate the remainder when j is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(3*5\/15). Let r = a - -5. Suppose 61 = y - r*d, 2*d + 6 = 16. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.608549 rounded to 2 dps?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 5. Let a = -2 - -2. Let c be u(a). Suppose 31 = 5*m + y, -5*y - 20 = -c*m + 35. Solve -m*b + 2*b = 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3 - -7)*-318*(-4 - 14\/(-3)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*t**4 + 0 - 5*t**4 + 4*t**4 - t**4 + (-2*t + 2*t + 2*t)*(-4*t**3 + 2*t**3 + 3*t**3) - 2*t**3 + 2*t**3 + t**4.\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {n: 1, m: 1, t: 1, a: 1, w: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6*8)\/(10\/5 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 - 334 + 1026)*(-6 + 3 + 4)*(-18*j**3 + 9*j**3 + 0*j**3).\nAnswer: -7227*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {c: 1, e: 1, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-5 + 16 + -23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) + (-2211)\/(-60). Let k = p + -37. Let c = -1 + 6. What is the third biggest value in c, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgdcffdccgcdc. What is prob of sequence dd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*c + 68 = 0, o = 6*o + 2*c - 108. Suppose o*a - 154385 = 19755. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16255047*b**3*k*p**2 - 9079945*b**3*p**2 + b**3 - 10*b*p**2 - 7*k*p**2 wrt k?\nAnswer: 16255047*b**3*p**2 - 7*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*-15\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**3\/6 - 13*z**2. Let v(f) = f + 5. Suppose -u - 5 + 7 = 0. Let i be (30\/(-5))\/(u - 0). Give i*k(x) - v(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 96 = 9*x. Let j = x + 27. What is the second smallest value in j, -18, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -68 - 45ac?\nAnswer: -4636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 830357318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of (-8)\/6 + 45\/((-1890)\/(-510608))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2 (b) -9\/203 (c) -5 (d) -49 (e) 1\/9 (f) -0.5 (g) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 11*j**3\/2 - 29*j. Let m(u) = 2*u. Calculate v(m(f)).\nAnswer: 66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxzfzxzzxzzfxxxxx. Give prob of picking 3 x and 1 z.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 + 2 = 0. Let d be (1\/q - 1)*0. Find the third derivative of 33*x**4 - 34*x**4 + 4*x**2 + d*x**2 wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50821718351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 6:15 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13024882 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {s: 2, w: 3, m: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 398\/7. Let z be -9*2\/(-3) + 2. Let d(m) = -m**2 + 7*m + 7. Let g be d(z). What is the nearest to g in 4, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7 - 1.3. Let n = 0.07 - -3.93. Let q = -2091.08 + 2090.98. Which is the smallest value? (a) h (b) q (c) n (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a = -20*a - 16. Find the third derivative of 4*q**a + 417*q - 22*q**2 - 207*q - 210*q + 232*q**3 wrt q.\nAnswer: 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70.58 - 70. Let o = k + -0.78. Let s(f) = -f**2 - 2*f - 2. Let u be s(-3). Which is the smallest value? (a) u (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 783393.5 to the nearest ten thousand.\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -32271986 divided by 16135993\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -538\/5 + 108. Let i be (-1)\/(-2) + (-99)\/(-6). Suppose -1 + 5 = 4*r - 4*a, r + i = -5*a. Are r and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*d - 4*t, t = 5*d + 4*t - 65. Let c be (-16)\/d - 12\/30. Let i(u) = 2*u**3 + 2*u**2 + u. Give i(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j)**49*((j**(-2\/3)\/j)\/j*j)\/(j\/(j*(j\/((j*j**(2\/21))\/j*j))\/j)) assuming j is positive.\nAnswer: j**(-1087\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27341049.\nAnswer: 3, 17, 536099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.536219m in millimeters?\nAnswer: 536.219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 + 1696*z**3 - 3389*z**2 + 1694*z.\nAnswer: -z*(z - 1694)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {k: 1, p: 1, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7478260 + 13086638. Suppose 652496 + 469185 = l - 5*f, -5*l - 2*f + u = 0. Suppose -6 = -2*k, 118315 = -2*z - 3*k - l. Round z to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -275210 (b) -0.046 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9991.1 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21 and 189.9979.\nAnswer: 210.9979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 9. Let f = -6 + m. Which is the closest to f? (a) 0 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.83293113 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n**2 + 33*n**2 + 1 + 14*n**2 - 114*n**2 - 17*n**2.\nAnswer: -99*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10189.\nAnswer: 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p. Let o(k) = 8776355*k**2. Calculate o(q(h)).\nAnswer: 8776355*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -41 + (-15 - (-55 + 8))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2. Let h(r) = 4*r**2 + 2*r - 1. Let z be h(1). Let g = -3 + z. Let p(b) = 6*b**g - 2*b**2 - 2*b**2. Calculate m(p(v)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*k - 2*q - 6, q - 12 = -2*k. Suppose -k*i + 85 = -15. Let f = 61 - i. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 6) + 3 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40142.\nAnswer: 2, 20071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.052*-177900.\nAnswer: -9250.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36381631 is divided by 1156.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z**2 + 4*z**2 + 371*z**2.\nAnswer: 407*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 43 = 2*g, g + 4*w - 9 = 5*w. Solve k - g = 3*y, -k + 1 = 2*y + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-14)*(-33)\/(73062\/189).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f*j**2 - 741*f*j - 142*j**2 - 17*j wrt f.\nAnswer: -j**2 - 741*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30573?\nAnswer: 3, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1 - (-28)\/(-29)). Let c = -57\/2 + i. Let h = 23912\/5 - 4782. What is the smallest value in h, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8477 = 8*l - l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 46*q - 48*q)*(-8*q**3 - 11 + 11).\nAnswer: 16*q**4 - 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 3830 = 30610. What is the greatest common factor of u and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/809575 and -33\/470?\nAnswer: 1619150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 19*w**2 + w - 1. Let z be p(19). Suppose z*x - 21 = 11*x. Suppose -71 = -x*u + 52. List the prime factors of u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/16)\/((-1)\/(-4))*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -80 in -2, -5, -3, 132?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 794*c**2 - 260*c + 432*c - 172*c to the form m + t*c**2 + g*c and give t.\nAnswer: 794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -54275534 and -13009.63?\nAnswer: 54262524.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39566243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339012069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/558*9*-71.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-6)*n*(n*n*n**(2\/35))\/n*(n\/(n**14\/n))\/n**(-14) assuming n is positive.\nAnswer: n**(-33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, y: 3, p: 3, x: 1, j: 11, n: 1}. What is prob of picking 1 x and 3 p?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.07 (b) -21 (c) -17 (d) 9 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 11*i + 13. Suppose 4*d = 3*x - 2009, 5*d + 2519 = -2*x - 2*x. Let z = d - -514. Give j(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwzpwwp. What is prob of picking 2 w and 2 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2182 - 9*o**2 - 147 + 11*o**2 + 702 + 7 + (1 - 2 + 0)*(-2*o**2 + 0*o**2 + o**2).\nAnswer: 3*o**2 + 2744","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 355, 66.\nAnswer: 35, 66, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(3 - (-225)\/(-72)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 + 2*l - 1. Let t be i(-3). Suppose -2*y + 2 = -t. What is the remainder when 2 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1794 is divided by 298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 140*y**2 + 2198*y - 2340.\nAnswer: 2*(y - 1)*(y + 26)*(y + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354 and 9727743?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - 69. What is the second derivative of -2*k + 4*k - 2*k - 8 - 81*k**n - 3*k wrt k?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00964 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1042?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -50*k + 67\/6*k**3 - 1\/10*k**6 + 2 - 1\/20*k**5 + 0*k**2 + 0*k**4. What is the second derivative of l(i) wrt i?\nAnswer: -36*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 14 - 23) + 64?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d**2 - 13*d - 17. Let m(c) = 4*c**2 + 6*c + 8. Determine 6*g(s) + 13*m(s).\nAnswer: 4*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 2. Let t be ((3\/(-2))\/3)\/(12\/264). Let y(o) = 3*o - 5. Determine t*p(d) + 4*y(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**3 - 34*y**2 + 46*y - 112. Let t(x) = 2*x**3 + 11*x**2 - 15*x + 37. Let o(u) = 3*f(u) + 8*t(u). Let h be o(13). Solve 4*p + p = -h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*i + 31*i + 60*i to c*i + v and give c.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 276\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6)*12\/(-16). Let q = 59.4 + -7.4. Let p = q - 52.5. Which is the smallest value? (a) 0.5 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 7*v**2 + 5*v - 3. Let p be m(-6). Let x be (-85)\/(-15) + (-2)\/p. Solve 3*g - x = 8*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 4*w. Let v(o) be the second derivative of -o**3\/6 - o. Let j = 18 + -20. Calculate j*x(m) - 9*v(m).\nAnswer: 2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 246*w - 7 + 49 - 42 as k*w + j and give k.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(17)*-1)*6 + 4 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -2101?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/m**(-3))*m*m**3*m)\/(m**(-3\/4)*m*m\/(m**4\/m)*m))\/((m**(-1\/3))**23\/((m\/m**(1\/2))\/m**(1\/4))) assuming m is positive.\nAnswer: m**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Suppose z*y + 0 - 1 = -d, -3*y = -d + 7. Let a(q) = 5*q - 6. Let u(l) = -215*l - 187*l - 22 + 9 + 634*l - 221*l. Determine d*u(v) - 9*a(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 14. Let c be i(6). Suppose -5*o + 2 + c = -5*u, -10 = -4*u - 2*o. Let k be 0\/(1 + 1)*u. Sort 4, -3, k in decreasing order.\nAnswer: 4, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -26*g + 331. Give z(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, g: 2, u: 1, z: 1, n: 3}. Give prob of picking 2 n and 1 u.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5\/7. Let x = -11.7 + 12. Let d = 43 + -173\/4. Which is the nearest to r? (a) x (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5514524 divided by -1\nAnswer: -5514524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 + 6241 + 11*v**3 - 3126 - 3115 - 8*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*t**5 + 143*t**2 - 4308*t wrt t?\nAnswer: 1060*t**3 + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 86165*d + 258418. Determine b(-3).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 0 + 1\/28*k**4 + 1\/7*k**3 - 3\/70*k**5 - 1\/70*k**6 + 3*k + 0*k**2. Suppose s(t) = 0. Calculate t.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 3*b**2 - 8*b + 4. Let w be k(5). Let g(s) = s**3 - 4*s**2 + s - 3. Let i be g(4). What is the derivative of 0 + i + w*m**4 - 6 + 1 wrt m?\nAnswer: 56*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*k. Calculate the common denominator of (-8)\/12 + k\/(-132) and -131\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -540962640 divided by -8\nAnswer: 67620330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/2))**(10\/13)*r**(2\/15)\/((r*((r*r*r**(3\/2)*r*r*r)\/r)\/r)\/r*r) assuming r is positive.\nAnswer: r**(-1643\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3*(-15)\/(-10). Is -1*(k + -1) + 27 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 x when four letters picked without replacement from {h: 2, x: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = 0. Suppose 5*y - 7 = 3*j, -1 = -3*y - 4*j - 20. Let w = -2 + -1. Put w, i, y in increasing order.\nAnswer: w, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38008 is divided by 7589?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, -3, -41, -115, -237, -419?\n\"Answer: -2*b**3 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145389245 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22629.53 millilitres in litres?\nAnswer: 22.62953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 237613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -568 - -1287. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -13. Let p be 2*(7\/h)\/7. What is the nearest to p in -0.1, -1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -248, -627, -1176, -1895, -2784?\nAnswer: -3843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*g - 2. Sort 0, -7, g in ascending order.\nAnswer: -7, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, -616, -2738, -6874, -13696, -23876, -38086, -56998?\nAnswer: -81284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*d - 3249980, -4*k + 5*d - 3249975 = k. What is k rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 + 26*s + 2*s**3 - 6*s.\nAnswer: -s**3 + 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*f + 137 = -123, -4*s + 69 = 11*f - 8*f for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5744828, 5744827, 5744826, 5744825?\nAnswer: 5744824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -40. Let b = q + 55. Suppose 2*g - 67 = -3*m + 49, 232 = 4*g - b*m. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + f - 66. Let j = 13 + f. Let s be (12\/j)\/1*-3. What is the greatest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5840 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47596 - -4191?\nAnswer: 50777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.942 - 0.058. What is the closest to 0 in 0, -0.1, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 310685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/22 + 1\/2*(-784)\/2156?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -31*t**2 - 6*t - 19. Let q(n) = -n**2 - n - 1. Let g(y) = -a(y) + 6*q(y). Differentiate g(l) with respect to l.\nAnswer: 50*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, x: 4, l: 3, v: 9}. Give prob of picking 1 l and 3 x.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 66*p - 1183. Give s(12).\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1416\/706 + 6\/(-3). Let s = f + 1394\/3177. Let l = -3.8 + 3.8. What is the third biggest value in s, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2. Let m be -7 + 4 + 0 + -2. Let k(v) = -2*v**2 - 2*v**2 + 5*v**2 + 0*v**2. Give m*q(w) - 8*k(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 22*b**3 + 5*b**2 - 25. What are the prime factors of i(3)?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 1)*114\/(-12). Suppose -6*r - 3*s - 1 = -2*r, 5*s = 2*r - w. Which is greater: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3928*t**3\/15 + 3495914*t**2\/15 + 155567372*t\/3 - 79210.\nAnswer: 2*(t + 445)**2*(1964*t - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9948 or 9836?\nAnswer: 9948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crrc. What is prob of picking 1 r and 2 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1110112221200200?\nAnswer: -1110112221200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 2053, 5352, 10177?\nAnswer: 16528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55417 or 55419?\nAnswer: 55417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3041?\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 101 (c) -0.063\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/(-5) - 59\/8 and 89\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t - 4*h, -4*h + 4 = 0. Sort -2, 2, t, 4 in increasing order.\nAnswer: t, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -38. Solve o = x*s + 6, 0*o + s = 3*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 6*x + 2 + 2*x + 8 + 2*x - 8 + (-3 + 0 + 5)*(-2*x - 3*x + 6*x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 24480 = 3*s, -s - 29389 = -3*l - 4917. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3916*a = -1240*a - 448572 for a.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 64908.56mg?\nAnswer: 64.90856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3*o**3)*(4 - 1 - 13)*(2 + 7 - 1) to the form r + f*o + j*o**3 + q*o**2 and give j.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6591 + -1791. What is s rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -584472 - -584468. Let v = 1.14 + -1. Is v bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -112. Let x be (-106)\/(-6) + 1\/3. Suppose -23*c + g = -x*c. Calculate the remainder when 45 is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - 1292\/(-8) - 3\/6.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 2*q**2 + 2518739*q**3 - 5037495*q**3 + 2518755*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7326047 <= -65934410\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -4\/3, 4, -3\/8, -1\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**4\/12 + 4*u**3 - 68*u**2 - 5*u + 1. Let p be a(15). Sort -5, -10, 3, p in descending order.\nAnswer: 3, p, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - y**2 - 6*y + 8. Let n(q) be the second derivative of -q**5\/10 + q**4\/12 + 7*q**3\/6 - 9*q**2\/2 + 37*q. Calculate -6*n(h) - 7*t(h).\nAnswer: -2*h**3 + h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 117 = 11*y. Let u(p) = 6*p + p**2 - 4*p + 14 + 3*p + 2. List the prime factors of u(y).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.698305 + -31.7. Round f to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 10*a**2 + 9*a - 19. Determine z(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 436 - 436.3. What is the smallest value in k, 2\/5, -4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/7)\/((-10)\/5)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 202315?\nAnswer: 202321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*o**4 - 2*o**2 - 2*o**3 + 4*o**2 + 4*o**4 + 24*o**2 to the form i*o**4 + q*o**3 + a*o + m*o**2 + u and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 310669771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*w = -3939020, -3*x + 2*w = -2*w + 5908530. Let s = -1212172 + 812662. Let o = s - x. What is o rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 97870032 and 519480?\nAnswer: 489350160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 30*v**2 - 86*v + 344. What is x(27)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 758, -5, 3, 2 in increasing order.\nAnswer: -5, -3, 2, 3, 758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 - -2. Let l be -41 - (-2 + 1 - 0). Let g be (-2)\/(-3) + l\/42. Put b, g, 3 in descending order.\nAnswer: 3, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758*f + 28 = -756*f. Solve 19 = -p - 5*t, 3*p = -t - 1 - f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -13*w**2\/2 + 32*w + 47. What is the hundreds digit of s(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 - -8 - -5*1. Suppose s*q = q - 4. Let r = 0 - 0.2. Sort -0.3, q, r in descending order.\nAnswer: r, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*9\/(-54) - 39\/(-45).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 490 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31727 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8850634.\nAnswer: 2, 13, 340409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -88.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-6))\/(0 - (-6)\/6012). Solve -51*g + 65 = o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1937*p = -1872*p - 1430. Calculate the highest common divisor of 39622 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153 + -164. What is the nearest to -2 in 0.2, q, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h + 156. Let l be g(16). Suppose -2 = 3*m + 4*x, 3*x + 0*x = -2*m. Let i = 8 + m. What is the smallest value in l, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 16. Determine r(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104823708.\nAnswer: 2, 3, 11, 794119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4138765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0)**(-10))**(-40))**15 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 56 = -2*v, 2*v + 3*l + 65 = 9. Let z be (-4)\/v*-17 - -3. Solve 0*u**2 + 4\/7*u**3 + 0 - z*u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13989, -14402, -15523, -17706, -21305?\nAnswer: -26674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - o = -20, 13 = -3*s + o + 77. Calculate the remainder when 39 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 - 21*d**2 + d**2 + 3*d**2 to the form l*d**2 + n*d + y and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 10*d - 6. Let c be a(10). Let y be (21\/c)\/(6\/(-12)). Suppose 2*l = l + y. Solve -8 = -3*v + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-22)\/163636)\/(6\/36). Is 1 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054811 rounded to 5 dps?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 13*v**2 + 32*v - 30. Let h be l(15). Suppose -2\/3*p**3 + h*p + 0 + 2\/3*p**2 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 5. Let l be d(-4). Let k(y) = y**3 - 4*y**2 + 4*y - 2. Calculate the smallest common multiple of 18\/4 - (-1)\/(-2) and k(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3*g + 10 = 1, -9598*g = -2*y - 9593*g + 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2983 is divided by 199.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*a = -4*a. Let g be -1*(2 + a - 1) + 3. Solve -j = 4*c + 1, 2*j = -4*c + g*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*j + 4*j - 93 = 0, -3*j = -2*h + 182. Suppose -3*v + 63 = -3*a, -6*a - h = -a - v. Is -15 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Suppose t*h - 8 + 3 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 5, -5, 33 in decreasing order.\nAnswer: 33, 5, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p\/(p\/p**0)*p**(2\/11)*p*p**6)**(-1\/2) assuming p is positive.\nAnswer: p**(-13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 623\/4 + -621\/4. Let x(r) = r**2 - 5*r - 6. Let t be x(6). Factor z + u*z**2 + t.\nAnswer: z*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 14, j: 1}. Give prob of picking 2 e.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 + 3749500*v - 37495500 = 0. Calculate v.\nAnswer: -749910, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284816.5us to seconds.\nAnswer: 0.2848165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20623 and 820?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(432)*-1 + 0 + (sqrt(432) - ((sqrt(432) - 2*sqrt(432) - sqrt(432)) + sqrt(432) - sqrt(432))) + sqrt(432))**2.\nAnswer: 72*sqrt(3) + 3889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 35. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -274 - 518. What is the highest common divisor of 22 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + (-21 - 156\/(-13)). Solve -17*f + r*f = -136 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - (-5*(sqrt(153)*1 - sqrt(153)) - sqrt(153))))\/(sqrt(18)\/(sqrt(4)\/sqrt(2))) - (sqrt(612) + (sqrt(612) + 3)*6 + 3)**2.\nAnswer: -30429 - 1761*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - t. Let d be ((-9)\/15)\/((-11)\/(-110)). Let f(l) = -3*l**2 + 6*l - 1. Give d*c(b) - f(b).\nAnswer: -3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*1*-3 + (-1*sqrt(1250) - sqrt(1250)) + sqrt(50))\/(sqrt(40) - sqrt(360)\/sqrt(81)).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 288*f + 1719. Let m be r(-6). Let z(d) = 5*d + 52. Calculate z(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i - 87*i - 34*i**2 + 37*i**2 + 3.\nAnswer: 3*i**2 - 99*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -111101 (base 2) in base 10?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k - 251. Let c(v) = -10*v - 252. Determine -3*a(y) + 2*c(y).\nAnswer: -2*y + 249","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 254 = 3*m + 66, -2*m = 5*w - 192. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-30)*0 - 4\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4642 and 225429446.\nAnswer: 4642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - -1. Let w = t + -0.4. Which is the third smallest value? (a) 1\/5 (b) -1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12)\/(-4) - 103\/10 and 1 + (-468)\/(-32) + -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -4. Let t = 245377 - 245328. What is the greatest common divisor of t and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6050 + -6030. What is the fifth biggest value in 1\/3, 2\/11, 3, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29590156 at least as big as 29590156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 172158196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, h: 1, f: 1, z: 1}. What is prob of sequence qf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1489966\/197199 - 2\/21911. Find the common denominator of 30\/7 and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3784 and 341.\nAnswer: 117304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(275) - 2*sqrt(275) - sqrt(275))\/sqrt(5) + (sqrt(5500) - (sqrt(5500) - sqrt(5500)*-2)))\/(4*(sqrt(720) - sqrt(720)*-2)*-4).\nAnswer: -55*sqrt(11)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 16) to base 5\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1328 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369496.\nAnswer: 2, 46187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11009*o**3*x - 6901*o**3 wrt x?\nAnswer: 11009*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**5\/20 + s**4\/2 + s**3\/3 - s**2 - s. Let c(t) = -27*t + 1. What is the remainder when c(-1) is divided by f(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (7 - -1)\/(14\/35) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6038 + -0.3962. What is the nearest to 3 in 27, p, 2\/3, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 29. Let h(d) = -d**3 - 17*d**2 + 14*d - 21. Let i be h(u). Suppose 16*p - 19*p + i = 0. Solve l - 4 = 4*a + p, l = -2*a - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 13677*q**2 + 46758243*q - 46771921.\nAnswer: (q - 1)*(q + 6839)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2866 + 2862. Let q = -14 + 4. Sort g, 4, q, 0 in decreasing order.\nAnswer: 4, 0, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven eighths of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 2\/13, 13, -501, -28?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 11, 84?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d - 5 + 320 + 315 = 0 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + 0.1. Let c = j + -1.2. What is the nearest to c in -1, 2\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -20903.9, -3, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 587 = 303. Let l = m + 367. Suppose 2*c - l = -h, -5*c + 2*h + 3*h = -435. What are the prime factors of c?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 (base 11) in base 6?\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6387638 (base 10) to base 5.\nAnswer: -3113401023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2308817647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35953 by 5.\nAnswer: 35953\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 3*r - 3. Suppose -r*k = -50*k - 10. Suppose -4*b - 16 = -4*l - 4, -12 = -4*b. Solve -2*z - l + k = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5c308 (base 16) to base 3\nAnswer: 201011222111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6657447 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + l = -23*r + 6, 4*l = 5*r - 57. Put -3, 8, 0, r in increasing order.\nAnswer: -3, 0, 8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -0.05, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5\/13 - 108292*r**4\/13 + 1082762*r**3\/13 - 2273704*r**2\/13 - 433144*r\/13 + 3031616\/13 = 0.\nAnswer: -1, 2, 7, 54136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2949 + 6431. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 54 = -18. Sort g, 4, -5, -81 in ascending order.\nAnswer: -81, -5, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 29*h**3 - 658. Let d(l) = -2*l. Calculate w(d(i)).\nAnswer: 348*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 614, 1205, 1770, 2297, 2774?\nAnswer: 3189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*m - 1870, -454 = -w - 0*w - 4*m. What are the prime factors of w?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rccrrrrrrcrrrr. What is prob of sequence rccc?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12071 - -22733. List the prime factors of i.\nAnswer: 2, 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*y - 15 = -442*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2688 in 3\/8, 0.4, -7.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -3284?\nAnswer: -3279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*s + 3*h - 0*h, 0 = -s - s - 66*h + 70*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + -2 + -2.\nAnswer: -4 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, s: 6}. What is prob of picking 2 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-48)\/34)\/6)\/(69\/((-19941)\/6562))?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.2 to the nearest integer.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*b**6*z - 2*b**6 + 170*b**2*z + z wrt b.\nAnswer: -2640*b**3*z - 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 16*r**2 + 75*r + 88. Let c be s(-7). Factor 12*t**2 + 0 + 3\/2*t**3 - 3\/2*t**c - 18*t.\nAnswer: -3*t*(t - 2)**2*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fysf when four letters picked without replacement from ysfffssfyyfyzffy.\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 5. Suppose 69 + 27 = 6*t. Let c = 14 - t. Let i be ((-22)\/4 + 2)*c. What is p(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 14) to base 7\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 332 = -30*w - 141 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 531468 - 232321. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13127, 13125, 13123?\n\"Answer: -2*q + 13129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 89880*u - 385. Let m(n) = 7490*n - 33. Determine -3*f(q) + 35*m(q).\nAnswer: -7490*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670 a factor of 645789935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 + 1 = 0. What is the third derivative of -l**2 + l**p - l**2 - 2*l**6 - 2*l**6 wrt l?\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5539 is divided by 231?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-28)*60\/(-2520)*28)\/(30\/(-4)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748*d**2 - 489955*d - 9825 = 0.\nAnswer: -655, -15\/748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -2\/5 (c) 0.06 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728 is divided by 124?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + -0.1. Let k = 212 + -496. Let u = -281 - k. What is the closest to 0.01 in a, -2\/5, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 250 + -799. List the prime factors of ((-2)\/(-3) + 0)\/((-6)\/i).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3*t - 3)*(8651*t**2 - 4*t**3 - 4326*t**2 - 4315*t**2) to the form i + l*t**2 + u*t**4 + q*t + n*t**3 and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n + 6. Let f be 13\/2 - n\/4. Solve 0*d - 5*d + 4*p = f, d + p = 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*i - 2, 3*u + 4*i + 2 = 6. Suppose 0*a - 157625 = u*b + 3*a, 5*b + 2*a = -197040. Is (b\/28)\/(1\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 60*t**2 - 63*t.\nAnswer: 3*t*(t - 21)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - 5*f + 5*f - 7 - f**2 + 17*f - 17*f + 2*f**2 + 3*f - 3*f + 3*f - 3*f - 2*f**2 + (-4 - 2 + 4)*(3*f**2 - 5*f**2 + 3*f**2).\nAnswer: -2*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 9840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5288312 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*y + 2*y + 123 = 0, 4*y + 142 = 3*g. Let r be g\/(-12)*-2 + 3551. Round r to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2522*z**3 - 1255*z**3 - 1252*z**3.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 6) + (1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006143054117 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = 5*l - 3*j, 0 = -3*l + 3*j - 6. Let f be 0 + (-2 - 18)\/(2\/5). Let d be f\/(-18) + 8\/36. Solve 3*a + 4*r + 25 + 1 = 0, -r = -d*a - l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 12*r**2 + 2*r - 19. Let j(w) = -5*w - 33. Let y be j(-4). Let s be i(y). Let x = s - 76. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9*j**13)\/(j**2*j**(2\/5)\/j) assuming j is positive.\nAnswer: j**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 27 = -12. Let x be (-140)\/(-4)*(3 - h\/(-15)). Suppose -x + 270 = 4*a. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -178203.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 1, n: 1}. Give prob of sequence tgn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 - 9\/(-7). Is 10 a factor of (-1)\/((-1)\/14) - c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 8) to base 3.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/(-445)*(-3)\/5. Is -1 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nineteen quarters of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 189 = -2*u. Let p(o) = o**3 - 26*o**2 - 25*o + 50. List the prime factors of p(u).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6921, -8829, -13999, -24063, -40653, -65401, -99939, -145899?\n\"Answer: -272*w**3 + w**2 - 7*w - 6643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 5*t**2 - 5*t + 28620. Let h be r(0). Calculate the highest common factor of h and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 - -132?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((20\/(-5))\/1)\/(-6). Let m = -0.1 + -0.3. Suppose -5*l + 24 + 1 = 0. Which is the second biggest value? (a) x (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (-9)\/((-54)\/(-3660)). Suppose -11*y = -4*y - f. Calculate the highest common factor of y and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p + 18. Let v(h) = -h**3 - 21*h**2 - 4*h + 7. List the prime factors of v(p).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5337 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*u + 58*u + 98*u + 61*u + 77*u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -1024, -2446, -4454, -7042, -10204?\nAnswer: -13934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 + 3*h - 11. What is the tens digit of g(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r - 274224*r**2 + 274069*r**2 + 39*r to the form a*r + n*r**2 + y and give n.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from ccdxbxddccxcwd.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2877 + 0*r**2 + 11127 + 2*r + 7985 - r**2.\nAnswer: -r**2 + 2*r + 21989","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5693 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -190 - -194.98. Let m = -1.08 - -1.1. Let x = t + m. Put x, -4\/3, -3 in ascending order.\nAnswer: -3, -4\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140958625?\nAnswer: 5, 19, 59351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -48618666 - 6.578843?\nAnswer: -48618672.578843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2136 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23023 and 182.\nAnswer: 46046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92749.55 years in millennia?\nAnswer: 92.74955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 55*n - 186. Determine z(7).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 277345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 68. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*i - 900 = -291*i - 330 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20803595 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 18 + (26 - (38 - (-1 - -24)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.46522 times -7341\nAnswer: -3415.18002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5 + 7*i**4 + 9*i**3 - 7*i**2 - 8*i.\nAnswer: -i*(i - 8)*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*v**2 - 61*v**2 - 16 + 27*v**2 - 1 to the form j*v + k + y*v**2 and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -483284 + 0?\nAnswer: -483284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345 (base 6) in base 15?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/393167 or -2\/9?\nAnswer: -10\/393167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 1, k: 2}. What is prob of sequence fkk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4 = -v, b + 4*v = 4*b + 10. Suppose -9 + 4 = -q. Solve q*f = 5*j + 15, -2*f = 2*j + b - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 4 + -3 + 28. What is the units digit of d - (0 + 1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6 - (-14 - -18)) + -5 + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 0 + 0*h**3 + 3*h**2 + 7\/60*h**5 + 0*h + 0*h**4. Let z(l) = -l**2. Calculate z(m(y)).\nAnswer: -49*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014810164 rounded to 6 dps?\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 225?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 4, -9, -38, -89, -168, -281?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9851\/5651 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 504 + d - 1019 + 521 + 18*d**2 to h*d + t*d**2 + b and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897000?\nAnswer: 2, 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1009019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -342323 (base 5) to base 13\nAnswer: -5736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.08 and 11.7507?\nAnswer: 11.8307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6253536552.\nAnswer: 2, 3, 260564023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.374 + -0.12463.\nAnswer: 0.24937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 14. Let z(t) = -2*t + 1. Is z(b) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millimeter in micrometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.1939, 1\/6, 22, 0.5 in decreasing order.\nAnswer: 22, 0.5, 1\/6, -0.1939, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24051900 is divided by 3702?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -4.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -17 (b) -5 (c) 0.5 (d) 10 (e) -0.3 (f) 0.4 (g) -0.172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -171, -282, -373, -438, -471, -466, -417?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k**3*w**3 + k**3 + 1402*k**2 - 39*w**4 with respect to w.\nAnswer: -24*k**3*w**2 - 156*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 26*i**2 + 59*i - 11. Determine o(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1, 5, -1, 1\/62, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*m**3 + 161*m**2 + 4368 wrt m?\nAnswer: 18*m**2 + 322*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 - (7 - (16 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.05. Let x = q - -0.45. Let r = -0.8 + x. Which is the second smallest value? (a) r (b) 0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 840 divide 40249655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5830210404.\nAnswer: 2, 3, 457, 354377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -107700 smaller than -107700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*w + 26712 = -65*w. Calculate the greatest common factor of 21 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*m**3 + 6960*m**2 - m + 5 - 6950*m**2 - 2 to q*m**3 + x*m + h*m**2 + z and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04001539 to four dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4141279 or 4141147?\nAnswer: 4141279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9\/2)*i)\/((i*i\/i**0)\/i)*i\/((i*i**(-8))\/i*i)*i*i**(-1\/9) assuming i is positive.\nAnswer: i**(79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1391*f + 3963*f + 2 - 2 + 4048*f.\nAnswer: 9402*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/232 and 39\/40.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 6*d**2 - d - 1. Determine b(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 255*r - 12491. Give z(49).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 take away -6083808790.3?\nAnswer: 6083808649.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u - 6. Let n(j) = 55*j - 65. Let h(m) = m**2 - 17*m + 69. Let a be h(11). Suppose -2*c - 14 = a*l, -7*c + 8*c = 2*l + 14. Give l*n(q) + 65*z(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/11 (b) 10 (c) -110 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -701 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469253.\nAnswer: 469253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyky when four letters picked without replacement from kkkkkyykkyykkkkkyy.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -49107, -49539, -49971, -50403, -50835, -51267?\n\"Answer: -432*i - 48675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5 - 6, -k = 10*s - 10298979. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 13*b**2 + 13*b + 13. Let i be h(14). Let j = 3\/11 + -34\/165. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12*o**2 - 20*o - 45. Let h(d) = -17*d**2 - 18*d - 44. Calculate 2*h(u) - 3*m(u).\nAnswer: 2*u**2 + 24*u + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 692382301.5 to the nearest 1000000.\nAnswer: 692000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**5\/5 - 2*j**4 - 22*j**3\/3 - 12*j**2 - 11*j. Solve y(z) = 0 for z.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183 + (91 - 289) - (2 + 68)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26.2, 1\/5, -3\/224, -2\/7, -0.1 in ascending order.\nAnswer: -2\/7, -0.1, -3\/224, 1\/5, 26.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 265533.3um in nanometers?\nAnswer: 265533300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2335.\nAnswer: 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*0 + 6\/(-18). Which is the second smallest value? (a) q (b) -3 (c) 4 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = s - 11, -945*s - 25 = -5*r - 948*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r - 5*f - 10, -8 = 3*r + 4*f. Suppose 0 = 4*w - 2*i - 12, 2*w + r*i - 10 = -i. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1356848 - 0.13843. Round x to 5 dps.\nAnswer: -0.00275","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115741 - 128259. Round v to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/(-53 - -153) + -149 + 2?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14836.6 * 10.23\nAnswer: -151778.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-12) + -7)*(-485 - -8). Let k(v) = v**3 + 7*v**2 - 2*v - 7. Let c be k(-7). Suppose o = -n + c*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847 is divided by 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + k - 57 = 0, 2*k + 23 = i + k. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003042238 rounded to 6 decimal places?\nAnswer: 0.003042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5605 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 30659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**3 + 4*a**2 + 6*a + 56. Let s(p) = 6*p**3 - 5*p**2 - 8*p - 56. Let r(k) = 4*o(k) + 3*s(k). Find the first derivative of r(l) wrt l.\nAnswer: 6*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.81 - -2.3. Let l = u + -0.29. What is the closest to l in 5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/14 - (-256)\/(-14)*-2. Calculate the highest common divisor of a and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*t + 28, 5*t - 3*p + 3 = 29. Let i = -1 + t. Suppose -586 = -3*w - 2*g - 84, -i*g + 501 = 3*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 562, 1116, 1658, 2182, 2682, 3152, 3586?\nAnswer: 3978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 341121?\nAnswer: -341113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354 and 3127.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 2. Let a be d(-5). Suppose 8 + 4 = a*f + 3*v, -3*f + 8 = 5*v. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 + 48. Let n = 89 + a. Calculate the remainder when n is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 32*c**2 + 33*c - 12. Let z be p(-17). Sort -13, -3, z in descending order.\nAnswer: z, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171 + -160. Suppose 0*j = -j + 3*o - a, -65 = 3*j - o. What is the common denominator of 0\/2 + 102\/147 and j?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28135 * -0.6\nAnswer: -0.16881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w**2 - 17152 + 17152)*(0*w - w + 0*w)*(2*w**2 - 2*w**2 + 2*w**2).\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 + 0 + 0 + (6 + 3 + 1)*(2*f**2 - 3*f**2 + 3*f**2) - f**2 + f**2 + f**2 + 3*f**2 + 2*f - 4*f**2 + 2*f**2 to the form p*f**2 + t + a*f and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3397 is divided by 579?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -100 in -1, -2, 447, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {q: 5, l: 7, x: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 5:31 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (6 - 34 - -24)) + 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 9*u**4 - 23 + 2*u - 3*u - 9*u**4 to x*u + p*u**4 + r*u**2 + q + k*u**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 1*-2 - (3 + -5). Is -1 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u + 155 = 46*u. Suppose 0 = -5*f - u + 16. Put 0, f, 5, 1 in descending order.\nAnswer: 5, 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189 (base 12) to base 5.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 - 56*b + 64. Let p be f(-29). Suppose 2*i - 26 = -2*w, -2*i + w + p = -w. Let q(v) = 2*v - 7. Calculate q(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -58.32 (b) 0.4 (c) -0.232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-1 + -2))\/(-12)*(-224)\/168. Factor f*k**2 + 2 - 20\/9*k.\nAnswer: 2*(k - 9)*(k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/732 and -77\/225822?\nAnswer: 451644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62363251 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiyyiiyiiiyy. Give prob of sequence yi.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 1502457.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 500920 and 70?\nAnswer: 500920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1095*o**3*w**2 + 3*o**3 - 25*o + 2*w wrt w.\nAnswer: 2190*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(30 - 8)*(-18)\/(-15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 102.0125 years?\nAnswer: 10.20125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(5\/2)\/((f**(-1\/32)\/f)\/f)*(f**(-9\/7))**(-1\/9) assuming f is positive.\nAnswer: f**(1047\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m - 38. Let y be s(16). Suppose 0*x + 377 = 2*x + o, 2*o = y. Let b = x + -109. List the prime factors of b.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 217\nAnswer: 5\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*a - 33*a**2 + 3*a**2 + 33*a**2.\nAnswer: 3*a*(a - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 14202201010?\nAnswer: -14202201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*z - 106*z - 4*z**3 + 54*z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -31*a**4\/12 + 7*a**3\/3 - 42*a**2. What is the derivative of n(j) wrt j?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(22 + 41*l - 22)*(l**4 + 0*l**4 - 2*l**4).\nAnswer: -82*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 1. Let i = 17 - j. What is w in -3*w - 9 + 6*w + i*w**2 + 3*w = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -2 (c) -3 (d) -0.3 (e) 68\/2639\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = 2*y. Suppose 0 = -2*o - 8, o = 23*t - 28*t + 5451. Let i = t + -1096. Sort i, 4\/5, 1\/4, y in descending order.\nAnswer: 4\/5, 1\/4, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = u + 25. Suppose 5*k - 285 = -4*r, r + 280 = 5*k + 4*r. Suppose -u*w = -k + 3. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 11 - (-9 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48281079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -356 in -0.11, 0.05, 4, 8?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-2))\/g)**(26\/5)*(g**(1\/3))**(5\/2) assuming g is positive.\nAnswer: g**(-131\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/((i\/(i*i**23)*i)\/i))\/i)\/i*i)\/i*i*i*i*i**(-1\/32)\/i assuming i is positive.\nAnswer: i**(799\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -13*56\/(-1274)*7. Which is the third smallest value? (a) w (b) 0 (c) 81\/5 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 239160 and 164?\nAnswer: 9805560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/7 + 103\/112. Let x(t) be the first derivative of t**2\/2 - 7*t - 14. Let d be x(8). Is s bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5609316731.\nAnswer: 31, 71, 2548531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - j = -0*b - 5, -10 = -5*j. Let z be (-3)\/6*(b + -1). What is the first derivative of z*q**4 - 2 + 3*q**4 - q**4 wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2, 4, 9, -222 in descending order.\nAnswer: 9, 4, -0.2, -2, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b5 (base 15) in base 13?\nAnswer: -1a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/13 + 326600*m**2\/13 + 13330831816*m\/13 - 213376926848\/13 = 0. Calculate m.\nAnswer: -81658, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375150 is divided by 386.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2005*b + 7*b**3 - 2005*b.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81436 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n**(-4\/3)*n)\/n)\/n*n*n*n**(-5))**(-47)*(n**(-1)*n*n*n*n**0)\/(n**(-2\/5)\/n*n\/(n*n\/((n*n**(-8)*n*n*n)\/n))) assuming n is positive.\nAnswer: n**(3196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1709 - -1706. Suppose -19 + 3 = 4*y. Which is the fourth smallest value? (a) q (b) 0.1 (c) y (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 6*s + 116, 554*x - 547*x - 405 = 22*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y*(y*y**(2\/115)\/y)\/y))\/y)\/y*y*y*y**(-32) assuming y is positive.\nAnswer: y**(-3452\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3047, -1, -3 in ascending order.\nAnswer: -3, -1, 3047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -199 - -231. What is the remainder when b is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 11 = h, 3*h + 2*h + 4*u = 8. Let g(n) = 16*n + 4. Let x(m) = -m + 1. Give h*x(b) - g(b).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9196540 and 80.\nAnswer: 36786160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58186893.\nAnswer: 3, 47, 499, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/52 - (54 + (-109521)\/1118).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**7\/8400 - o**6\/1800 + o**5\/1200 - 41*o**3\/6 - 20*o + 4. Let s(i) be the second derivative of j(i). Factor s(q).\nAnswer: q*(q - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4211 - 4?\nAnswer: 420b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -9 - 100\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -15. Let z be (-3 - ((-13 - 0) + 3)) + -3. Suppose -2*f + z*v = f - 64, 3*f + v - 59 = 0. Solve 0 = -b + 3*d - n, -b + 5*d - f = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316726, -633244, -949752, -1266244, -1582714, -1899156?\nAnswer: -2215564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 11 (c) -2\/3 (d) -4\/3 (e) -0.5 (f) -753\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1775, 2323, 2871?\nAnswer: 3419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 574*g**2 - 15499*g + 54. Give h(27).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2965?\nAnswer: 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + t = 10, -13*h + 4*t + 15 = -14*h. Suppose -16 = -3*p - 1. Solve v - 2*a + p = -3*a, 0 = v - 4*a + h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.242 and -14668.\nAnswer: -3549.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10504120435 + 0?\nAnswer: 10504120435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 6. Give a(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 641642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**2 - 330*b + 686. Give n(-57).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*v + 3283 + 45905 = 0, 0 = 4*b + 4*v - 98368. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51012 - -135?\nAnswer: -50433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75444382.\nAnswer: 2, 13, 2901707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5, -0.1, -2\/3, -4, 1236 in descending order.\nAnswer: 1236, 25, -0.1, -2\/3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 7*g - 3. What is r(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = -2. Solve -p = -w*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 - -111. What is the remainder when 656\/22 + 6\/i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = m - 2*b, -2*m + 4*m = 3*b + 8. What are the prime factors of m\/(2\/9*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 2, k: 3, j: 1, e: 6}. Give prob of picking 1 k and 1 x.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0077704501 to 4 decimal places.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 17*s**6 + 9*s**6 + 13*s**2 + 2 wrt s?\nAnswer: -960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1722, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-1 - (-4 - -10). Let n = g + 10. Suppose -4*o = -5 + 1, 0 = 2*q + o - 5. What is the remainder when n is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 4. Suppose -d - 2 = -7. Let w be x(d). Calculate the smallest common multiple of 1*(w*1 - 0) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1657 (base 14) to base 9.\nAnswer: 5431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(18 - 2254\/126).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*x = -1, -2*w + 4*x + 25 = 23 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2897624427?\nAnswer: 3, 53, 18224053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/12936 and 23\/44352?\nAnswer: 310464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4656.07 rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 + 141\/27. Suppose -5*p + 8 = 2*u, -4 = -4*p + b*u + 9. Calculate the smallest common multiple of p and 111 + -94 + (5 + 2)*-1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f - 6 = 0. Is f greater than 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1054 + 2917 = 12*g - 2113. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxffmmffmffffmmmmfmf. Give prob of picking 2 m.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 10571382332*d + 10571382343*d + 2.\nAnswer: 11*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-528))\/((-1068)\/96 - -13).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 50. Suppose 3*n - 3*s - 81 = 0, t*s = 4*n - 0*s - 112. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -145860 - -21860. Round r to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2986 - -2?\nAnswer: 2988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from oekekklk?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*g - 8*s + 4*s, 4*s - 31 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*t + 3*o, 3*t + 3*o - 9 = 5*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.94637 * -0.4\nAnswer: 0.378548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129819, 519429, 1168841, 2078055, 3247071, 4675889?\nAnswer: 6364509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8468 and 3904186.\nAnswer: 226442788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 314 or 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/3)*q*q*q**(1\/7)*q**(-5)*q*q*q*q\/q**4*q)\/(q**3\/(q*(q*q**1\/q*q)\/q))**(-45) assuming q is positive.\nAnswer: q**(934\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/7)\/(48\/(-112))*(-2 + 95). Which is the third smallest value? (a) -1\/121 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*(-2 + sqrt(112)) + (5*(3 + sqrt(112)) - sqrt(112))**2)*-3 + 2.\nAnswer: -6076 - 1380*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w - 3*w, -4*w - 24 = -4*g. Suppose -3*i + 142 + 20 = g*n, 0 = -2*i - n + 115. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 520032 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.3. Let t(i) = -i**2 - 6*i - 7. Let o be t(-5). Let l be o + 17\/6 + -1. What is the third biggest value in 2\/11, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 + 8 = 0. Which is greater: u or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, w: 2, d: 8, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 2*g + 19, -9 = -5*i - 165*g + 167*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(2\/105)\/((l\/l**15)\/l**3))**(-15) assuming l is positive.\nAnswer: l**(-1787\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -164*b - 250. Let v be r(-5). Calculate the greatest common factor of 90 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 15 + 9 = 0. Let k be (10\/3)\/(((-24)\/(-9))\/t). Suppose 0 = -k*p + 3*p + 32. What is the lowest common multiple of 10 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25607 by -11434.\nAnswer: 25607\/11434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(704\/(-108) - -6) - 23?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.09 - -0.09. Let o = n - 0. Let h = 0.7 - -0.3. Which is the second biggest value? (a) h (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 4*s + 35, -s = 5*n + 2*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26740222 is divided by 2304?\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:52 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263.4169*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6600 and 2525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 996 divided by 6?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 339, 1061, 2467, 4785, 8243?\nAnswer: 13069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1200118 - 0.12. Round s to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/16165, 3, -3, 1\/3, -8?\nAnswer: -2\/16165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3416888, -3417002, -3417116, -3417230?\n\"Answer: -114*v - 3416774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 16936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58563 and 373410.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -4. Let l(w) = -36 - 70*w + 126 - 134*w - 67. Is l(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -3, 0.05.\nAnswer: -5, -3, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 34. Suppose 3*x = -0*x + 4*c + 49, -2*c - 32 = -2*x. Let g be u(x). Is 0 + 1*1004\/g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(125) + sqrt(125)*-2*-6 + sqrt(125) + -1)*-6.\nAnswer: -24 + 840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3316 is divided by 166?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4 - 7. Calculate the remainder when 97 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -2*x - 15, -4 = 1437*q - 1441*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w - 1. Let t(x) = 28*x - 5. Let b(p) = -t(p) + 5*u(p). Let g(h) = 19*h + 26. Determine b(g(z)).\nAnswer: 38*z + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 282892099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 270945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/560*-7*-4\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73*h*l**2 - 162*h*l - 369078*h + l**2 + l wrt l.\nAnswer: 146*h*l - 162*h + 2*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/806880 and -199\/1109460.\nAnswer: 8875680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 5\/(-3))\/((-1)\/(-39)). Let p = g - -48. Suppose 12 = -2*z - f, 8*z + 31 = 3*z - 3*f. Sort 5, -2, z, p in descending order.\nAnswer: 5, -2, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Find the second derivative of -p**2 + y*p - 3*p**3 + p**2 + 4*p**3 wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(144981\/181*(-6)\/603 - (1 - 9))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33, 71, 131, 213, 317, 443?\n\"Answer: 11*r**2 + 5*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -31*t**2 + 55*t**2 - 34*t**2. Let w(l) = -l + 1. Let i(k) = -k - 5. Let s be i(-6). Let x(a) = 2. Let j(v) = s*x(v) - 2*w(v). What is j(c(b))?\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -39*v**2 + 7*v + 7. Let y(t) = 79*t**2 - 15*t - 15. Let l(u) = -u**2 - 93*u - 743. Let f be l(-84). What is f*d(p) + 6*y(p)?\nAnswer: -33*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/(k**1\/k)))\/k*k*k\/k**(-2\/7))**(2\/49)*((k*k\/(k*k**0))**50)**(14\/5) assuming k is positive.\nAnswer: k**(48052\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 652 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.077, -9, -12, 2\/7, 0.4.\nAnswer: -12, -9, -0.077, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 3*n. Let t be (-20)\/n*2\/(-4). Let l = 29 + -31. Sort l, -5, t in descending order.\nAnswer: t, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -317.1132 and 4?\nAnswer: -1268.4528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 263 - 88. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -n + 18. Let r be n + 5 + -2 - -4. Factor 13*p + 3*p - r + 4*p**2 + 4.\nAnswer: 4*p*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u = -7*u + 1140. Suppose -42 = -8*d + u. Let z = 6 + -3. Solve -d = -z*c + c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x. Let i(u) = 51*u + 9. Let s(l) = 2*l + 3. Let h(n) = i(n) - 3*s(n). Give g(h(r)).\nAnswer: -135*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -22515?\nAnswer: 45030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 6, w: 1, q: 1, c: 6, h: 5}. Give prob of picking 2 c, 1 h, and 1 z.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 40*k**2 - 112*k - 32. Calculate h(-37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x + 6*x + x + (2 + 4 - 3)*(0 - 4 - 4*x + 7) - 6*x + 3*x + 2*x in the form j*x + p and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**4\/6 - 3*d**2 + 4. Let t(s) be the second derivative of p(s). Let w(n) = -7020*n + 7015*n - 21 + 21. Determine t(w(o)).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61230 divided by 30.\nAnswer: -2041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (0 - 5))\/(-1). Suppose 5*d - 2*x + q = 0, 5*x + 19 - 46 = -2*d. What is the units digit of d + -2 + 3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/17 - 4*j**2\/17 - 46*j\/17 + 120\/17.\nAnswer: 2*(j - 4)*(j - 3)*(j + 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 51 - 81. Let f be -4*1\/((-12)\/n). Suppose -8*a = -f*a + 48. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 90 = 2*g - 18, -2*g = a - 83. Let r = 210 + -144. What is the highest common factor of r and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q = -2*t - 24*q - 13, 2*t - 9*q = -25 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (39\/12)\/((-4)\/(-32)). What is the second derivative of 1 - 1 - l*r**2 - 135*r + 170*r wrt r?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -70 (b) 26 (c) -3\/7 (d) 25\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 3*n = 20*c - 29, 0 = -5*c - 4*n + 37. Sort 2, c, -7, 29, 1 in increasing order.\nAnswer: -7, 1, 2, c, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 18*l**3 + 3*l**2 + 7. Let r(t) = 36*t**3 + t**2 + 13. Determine 7*n(o) - 4*r(o).\nAnswer: -18*o**3 + 17*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 + 4*f**2 - 11*f + 5. Let t(j) = -13*j**3 + 15*j**2 - 46*j + 20. Let x(a) = -9*l(a) + 2*t(a). Suppose 7 - 27 = -5*v. Calculate x(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, -254\/7, 0.1 in decreasing order.\nAnswer: 89, 0.1, -254\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 13*l**2 - 8*l + 5. Let b be x(12). Let c = b - 28. What is the greatest common divisor of 25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-8)\/6 + (-220)\/(-66). Suppose -u*q + q + 4 = 0. Suppose -2*i + 754 = 2*i - q*h, 5*h + 569 = 3*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 8:32 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -249 and -193891?\nAnswer: 193642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2474668 and 11136006.\nAnswer: 22272012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -293.9 - -323.9. Sort 3, g, -2\/5 in decreasing order.\nAnswer: g, 3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1862 - 1862 - 299*h**2.\nAnswer: -299*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -612 + 1279. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 203*j - 1237. Calculate o(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 + -4. Let b = -2\/7597 + -15168\/98761. What is the biggest value in -24, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 * 15\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -38*t**2 + 28*t + 52. Calculate s(-2).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/7)*n**5\/n*(n\/n**20)**(-3) assuming n is positive.\nAnswer: n**(425\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.3 (c) 0.2 (d) -9343 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26292116?\nAnswer: 2, 907, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4563271 to the power of 1\/2, to the nearest integer?\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/50)\/(-9*1\/15).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/6))\/f**(4\/9)*f**(-1\/3)*f*f**(-4) assuming f is positive.\nAnswer: f**(-53\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412068017 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 34 = 74 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 15802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 1473 - 2361 - 4*s + 865.\nAnswer: -4*s - 3026","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 1490258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 971\/2 - -9*4\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*f + 5)*(3*f**3 - 2*f**3 - 2*f**3) - 38*f**4 + 52*f**4 + 87*f**4.\nAnswer: 99*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 + -10111110?\nAnswer: -11011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**6*u**2 + 3*g**4 - 881*g**3*u - 3*g**2*u**2 + 350*g**2 - 3*u**2 wrt g?\nAnswer: -120*g**3*u**2 + 72*g - 5286*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-264))\/((-1154)\/19041).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w + 11. Let d be r(1). Let m(g) = d*g - 60*g + 14*g + 23*g. Let f(k) = 5*k**2. Give f(m(q)).\nAnswer: 125*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 0*s + s - 3*s. Let a(q) = -q**3 + 10*q**2 - 2*q - 3. Let y be a(9). Let w(t) = -62*t - y*t + 115*t. Determine c(w(l)).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 + -75 - (5 + -6 + -39) - 1.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 11*j + 3179 = 187*g, 0*j + 72 = 4*j + 4*g + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 6620 - 4822 = 22*t + 13*t for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 13*t + 10. What is l(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*c**2*s - 1064*c**2 - 2*c*s + 2*c + s + 237 wrt c?\nAnswer: 20*s - 2128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2440 + -14135?\nAnswer: -11255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/65377 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25413*c**4 + 4597*c - 1?\nAnswer: 304956*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2702 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + l - 1. Let w be z(1). Let g = w + 3. Find the second derivative of -4*u + u**2 + 3*u + u**g wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3773, -15016, -33755, -59990, -93721, -134948, -183671?\nAnswer: -239890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6072 + -872?\nAnswer: 5500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1796 (b) -1\/3 (c) -0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8*(-2)\/(-24) - (-10)\/(-24). Suppose 3*t + t + 5*j = 165, 0 = t - 2*j - 38. Let r be (55\/t)\/(2\/8) + -3. Put 1\/5, r, z in increasing order.\nAnswer: 1\/5, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 - 1\/2. Suppose 3*o + 17 - 2 = r, -2*o = -d + 10. Suppose 4*q - 2*q - 42 = d. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6*n + 80. Let f(b) be the first derivative of 11*b**2 + 16*b - 13. Let x(z) = -7*z - 5. Give n*x(w) - 5*f(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113321232003321 - -3?\nAnswer: -113321232003312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/9)\/h*h)**(-4) assuming h is positive.\nAnswer: h**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzvqt. What is prob of picking 2 z and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, c: 15}. What is prob of sequence cc?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 42, -4, 22, 9 in decreasing order.\nAnswer: 42, 22, 9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2679935157 to the nearest integer?\nAnswer: 51768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -115. Let v be (-5)\/3*x\/(-750). Put -2, v, 1\/13, 2 in decreasing order.\nAnswer: 2, v, 1\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136 + 166. Suppose 3 = l*q + 3. Solve q*d - 32 = -8*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -337.7 to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.01 - 3.01153. Round z to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -0.1 (c) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 10*a. Let v(p) = 3*p**2 - 19*p - 1. Let r(k) = -7*g(k) + 4*v(k). Let f be r(4). Let h = -1 + f. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a - 5072 + 4736 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 s when three letters picked without replacement from oosoooosooooosoooo?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 9*a**2 + 10*a + 2. What is the lowest common multiple of 3 and s(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4815450 and 335.\nAnswer: 4815785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*33.71.\nAnswer: -505.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/102*(-73)\/(395 + -30)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436901 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 150107 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - 3*u + 3*u + (6 - 5 - 3)*(-5*u + u + 2*u) + 713*u + 1 + 672*u - 9 + 701*u - 2018*u.\nAnswer: 71*u - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-7 - -1 - (2 - 4))*-17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+9390\nAnswer: 9385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 28*a + 87. Let n be k(26). Suppose n - 13 = 2*z. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -99 - -8920?\nAnswer: 8832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.4 - -12.3. Let c = 0 - 0. What is the nearest to c in -3, 1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245) + 4*(sqrt(245) + 0 - sqrt(245)))*2 - (2 + (-6*(sqrt(245)*1 + sqrt(245)) - sqrt(245)) + sqrt(245))) + 5 + -1)**2 + -4.\nAnswer: 392*sqrt(5) + 48020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3583 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.15139 (b) 1.286 (c) 0.1 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.225 times 479005?\nAnswer: -107776.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*s**5 - 39*s**4 - 87*s**3 - 66*s**2 + 12*s + 24 = 0. Calculate s.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24, -77, -174, -321, -524, -789?\n\"Answer: -p**3 - 16*p**2 + 2*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3372 is divided by 420.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + 3 + sqrt(7) + sqrt(112))*2.\nAnswer: -50*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -43. Calculate the common denominator of ((-68)\/z - 4 - 0)*-79 and (-1 - (-74)\/40)*-1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-568)\/(-20) + 40\/(-100).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 4*o**2 + 6*o - 5. Calculate w(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366158?\nAnswer: 2, 13, 14083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/529 or 0?\nAnswer: -7\/529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 13. Suppose -5 - 19 = -4*y. Let z be j(y). Suppose -3*b - 8 = n, -z*n - 2*b = -2*n - 25. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 689521554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1383 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 7*u**2 + 57*u**2 - 20.\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1475?\nAnswer: 4\/1475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 25. Is n(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 2.\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 81?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 1:51 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/12 - (-4)\/16. What is the nearest to q in -1\/5, -1, 1, 1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o - 14 + 16 - 3*o + 23. Let l be w(-9). Let s(n) = 7 + n + 5*n**2 + 3*n + 4*n. Let f(r) = -4*r**2 - 7*r - 6. Give l*f(u) + 6*s(u).\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5))**(-7)\/(z**5\/((z\/(z\/(z\/z**(2\/9))))\/z)) assuming z is positive.\nAnswer: z**(-109\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -4*(-2)\/8*-1. Suppose -2*s + 3*v + 11 = 0, -3*s - 2*v = -2*s + 12. Let y be d\/((-6)\/s - 2). Which is the closest to -0.3? (a) 5 (b) y (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1888 and 472.\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8962110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1993334248?\nAnswer: 2, 249166781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86354*n = 86456*n - 816 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 286*q**2 + 16*q - 26. Let t(n) = 57*n**2 + 3*n - 5. Let u(h) = 16*t(h) - 3*y(h). What are the prime factors of u(-1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 190*b**2 + 2*b - 1. Let m be q(1). Suppose -5*o = 13 - 33. Suppose m = 4*a - z + 44, -4 = -o*z. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5599 is divided by 5565.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**2\/2 + 1461*z\/2 + 729 = 0.\nAnswer: -486, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478648.\nAnswer: 2, 184831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*z = 45*z - 5512. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*i - 89*c + 80*c, -5*i + 446*c + 19 = 447*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.09 - 10.71. Let w = 133.58 + -135. Let a = w - q. Round a to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30519365 * -0.2\nAnswer: -6103873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r**3 - 153*r**2 + 175*r - 4342. What is g(22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 42, 74, 122, 192, 290, 422, 594?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - 4*o - 2*o**3 - 8 + 10*o - 12*o. What is the tens digit of f(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8868*(-39)\/4212 + 85.\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2\/11, -4\/3 in increasing order.\nAnswer: -4\/3, -2\/11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3.2. Which is the second biggest value? (a) d (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + t + 130 = 8*a, -396 = -3*a - 3*t. 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 value of ((-8)\/28)\/(775\/217)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*b - 0. Let k(w) = 323*w - 11623. Let y be k(36). Solve 4*f - y*f = -b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 47*b**2 + 728*b - 31041. Calculate d(46).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2476084.99978 + 2476113. Let v = -60 - -32. Let h = k + v. What is h rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21101, 21750, 22399?\n\"Answer: 649*v + 20452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 2 + 3 - 4. Let v be m(5). Suppose -4*w + 10 - v = 0. Solve -w = j - 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10648775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**7\/84 - f**6\/30 + 3*f**5\/40 + 3*f - 29. Let y(d) = 0. What is d?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34367 rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 2. Let v(z) = -2*z**2 + 2*z + 27. Let g be v(0). Let b(j) = 37 + 18*j - g - 8*j. Give -3*b(o) + 14*r(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/16)\/(-13)*2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1066 + (-205346650)\/(-107351530)\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 13. Let g(z) = z**2 - 12*z + 19. Let i be g(8). Let d be u(i). Solve 4*c - 4 + 8 = d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u - a = -194, -5*u - 4*a + 321 = 0. Factor -40 - 5*b**3 + 45*b - 30*b**2 - 40*b - u*b.\nAnswer: -5*(b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -154*p**2 - 4311*p + 4311*p. Let m(l) = 2*l. Give u(m(a)).\nAnswer: -616*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 11*l + 30. Let b be n(11). Suppose -b = 5*d - 90. Find the third derivative of 181*u**3 + 12*u**4 - 181*u**3 + d*u**2 wrt u.\nAnswer: 288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-35)\/(-10))*3\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 4. Let z = 8 + d. Solve z = -g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793631.7 milliseconds in hours?\nAnswer: 0.22045325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 4:42 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 5099 + 7*q - 2553 - 2546.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/13)*p)\/((p*p*p**(-1\/18))\/p)*(p*p**(-1\/7))**(2\/39))**10 assuming p is positive.\nAnswer: p**(-1075\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.02 - 4.92. Suppose -2*g + 8 = -5*i - 1, -g - 1 = 3*i. Which is the nearest to -0.2? (a) 0 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -8*r + 373. Let h = r - -787. What are the prime factors of h?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 13 - 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 30143 (base 5) to base 3\nAnswer: 2122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 12*a + 4. Is 4 a factor of 189\/27 - a*113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161da (base 15) to base 10\nAnswer: 71305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 8*o + 8. Solve -o*v = v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a. Suppose 2*f - 4*w - 6 = 0, a*f = -4*f - w + 39. Let m(r) = r + 15. Let v be m(-11). Solve -p = -j + 4, -v*j + 2*p + f = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -2 (c) 0.1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -665 + 103?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02385993 to four dps.\nAnswer: 0.0239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 58*v**2 - 232*v + 172. Let y(m) = 23*m**2 - 93*m + 69. Let p(x) = -5*o(x) + 12*y(x). Let p(t) = 0. What is t?\nAnswer: 8\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**25)**(3\/19)*v\/v**(-28)*v**(-2\/151)*v assuming v is positive.\nAnswer: v**(97357\/2869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13994011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -219, -312, -395, -468, -531, -584?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 u, and 1 m when four letters picked without replacement from {u: 2, m: 1, h: 4, g: 1, b: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -1 + 5\/8*y**2 - 9\/16*y**4 + 1\/4*y**3 + 1\/4*y. What is k in a(k) = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168160 divided by 84080\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 15*b**2 + b - 21. Let k be w(15). Let q = k + 9. List the prime factors of -16*(-3)\/6 - q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67943421 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**2 - 56*v**3 - 13*v**2 - 23*v**3 + 73*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/4*1\/2. What is the third derivative of -z**4 - p*z**4 - 2*z**2 - 9*z**4 - 6*z**2 wrt z?\nAnswer: -288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -6*x + 50. Solve -3*t = -4*j - j - 1, x*t = -j - 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 24 = 48. Let g be (-1)\/(54\/(-9840)) + (-4)\/y. What is the greatest common divisor of 26 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -3.\nAnswer: -80\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/5)\/((-1)\/(-5)). Suppose -3*h + 2*c + 4 = 0, 8 = 5*c + t. Suppose -4*k = 3*s + 7, -2*k + 0*k + 5*s + 29 = 0. Is k >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (8 + -9 - 4)) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 e when four letters picked without replacement from {o: 1, e: 7, z: 5}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0290556942 to four decimal places.\nAnswer: 0.0291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1573 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n - 12. Suppose 5*r = o - 8 - 17, 3*o - 39 = -n*r. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 2\/23 (c) 35 (d) 5 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**2 + 7*c - 1. Let t be l(-1). Suppose 60*i - 51*i - 360 = t. Calculate the remainder when 159 is divided by i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 3*n**3\/2 + 3*n**2 - 2*n. Let u(s) = -s - 1. Suppose -5*i = -8*i + 18. What is i*u(k) + v(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1\/(-5)*0. Let q be (2 - (a + 4))*0. Suppose q = -5*t + 4*g + 15, -t + 3*g - 8 = -0*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1133 and 4120.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -0*s - 2*s + 16, s - 18 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.104*0.4.\nAnswer: -0.0416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n - 6. Suppose 4*m = 5*f + 1079, 2*f - m = -n*m - 458. What is f rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/7*v + 2\/7*v**2 - 384\/7 = 0. Calculate v.\nAnswer: -16, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 272661481?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11330244?\nAnswer: 2, 3, 347, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 275250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 1, -1, 40\/7, -1052?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*v**2 - 93318*v*z - 219481*z - 8 wrt v.\nAnswer: 12*v - 93318*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-545)\/30 - 5\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 2224833?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2275 - -3984. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000875949 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 34?\nAnswer: 23\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 722447 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + f - 2. Let q be 3 - (4 - 0) - -2. Let r(a) = -5*a**2 - a + 1. Let h be r(q). Let m be (-2)\/h - (-13)\/5. Calculate z(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most 383\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.1. Let k = -5\/173 - 454\/2249. Which is the closest to 1? (a) k (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 - 107. Which is the third biggest value? (a) y (b) 1\/7 (c) -10 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 16*d**2 + 14*d - 17. Let i be t(-17). Let f = 37 - i. What is the hundreds digit of -3 + 21\/f - -116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108000 and 8532?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than 671288?\nAnswer: 671280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 680602275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 18*u**2 + 2*u - 2. Let z be s(1). Let k(j) = 4*j + 144. Let o be k(0). What is the highest common divisor of z and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/168523?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-7*((-8272)\/308 - -28).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118913, 118909, 118903, 118895?\nAnswer: 118885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - -0.08807032?\nAnswer: 21.08807032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1132 divided by 1132.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**7\/42 + v**6\/10 + 3*v**5\/20 + v**4\/12 - 77*v. Factor d(a).\nAnswer: a**2*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -84, 962, 4250, 10896, 22016?\n\"Answer: 186*g**3 + 5*g**2 - 271*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 32 = -3*i. Let g = i + -3. Suppose -2*x + g*x - 3 = 0. Solve v = -x + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}