diff --git "a/data/dm_maths/full_data_2/11208_11255.jsonl" "b/data/dm_maths/full_data_2/11208_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11208_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h = -1\/5 - -17\/10. Let q(t) = -2*t**2 + 25*t - 39. Let w be q(11). Let y be w\/54*13 - 1\/(-9). Which is the nearest to 0.1? (a) h (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1286, 1296, 1274, 1196, 1038?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-60))\/(-6*-25*5\/(-2250))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1 (b) 2\/89 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a + 6 = -14*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407 + 8508 = -352*q - 1645 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(-1)\/4*(-316)\/2607?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5465770 is divided by 871.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 258212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.5 and -6357515?\nAnswer: -22251302.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -35. Let l = -11 - -3. Which is the second smallest value? (a) z (b) l (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2*sqrt(567))**2 - (0 + sqrt(28))).\nAnswer: -6*sqrt(7) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v - 37. Let d be z(9). Let t be d + 6 - ((-2)\/2 + 2). Solve -5*i = -4*i + t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*(m\/(m**(-1\/7)\/m))\/m)*m)**(41\/4))**(-4\/25) assuming m is positive.\nAnswer: m**(-246\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2141, -2119, -2063, -1955, -1777, -1511?\nAnswer: -1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3. Let y(j) = j**3 + 11*j + 12. Let k be y(f). Suppose 0 = -5*p - 4*t + 14, -3*t - 14 = -p - t. Solve k = p*m - m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 41\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 1.8. What is the closest to 2 in 0.2, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 6*n**2 + 13*n - 5. Let t be m(2). Suppose 4*z - 200 = -40. What is the highest common factor of z and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 22934916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from {c: 2, y: 3, h: 12}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by -2\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-378)\/49*(-28)\/6. Suppose 2*l = -2*l + r. Suppose l*d = 4*d + 395. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*z - 524, -6*w = 2*z - 3*w - 246. Let k = 207 - z. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13729152 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -3 (b) -2\/11 (c) -1\/6 (d) 761\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 57\/7 (b) -4 (c) 0.2 (d) 405\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16003513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:53 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from babaaaaabaaaaaaabaaa?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25584652 is divided by 10990?\nAnswer: 10922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 1 - 2. Suppose 1 + 3 = 4*g. Are k and g unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 48 = 2*n. Let j be ((-15)\/20)\/((-9)\/n). Factor -2\/3*z**4 - 2\/3 + j*z**2 - 4\/3*z**3 + 2\/3*z + 2\/3*z**5.\nAnswer: 2*(z - 1)**3*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 14 - 2 = 0. Let x = -7 + c. Suppose v = -3*t - 13 + 17, -2*t - 4 = -v. Put x, v, -5 in increasing order.\nAnswer: -5, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -98*z**5\/15 - 135*z**4\/8 + 606*z**2. What is the second derivative of n(u) wrt u?\nAnswer: -784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (3 + -3 + 1) - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 13*g - 17*g + 2*g**3 - 4*g**2 to c + p*g**3 + n*g**2 + x*g and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 4*p + 0*p)*(-1349*p**2 + 329771*p - 329771*p)*(2*p**2 - 2*p**2 + p**2).\nAnswer: 1349*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 l, and 2 x when four letters picked without replacement from vnvivxvvlnnvvvlvvvx?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + (2 + sqrt(242) + sqrt(242) + -4)**2 - (-5 + sqrt(242) + sqrt(242) + 0 + sqrt(242))) + 0.\nAnswer: -110*sqrt(2) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 67*z**2 + 194*z - 126. Let j be b(64). Let -2\/7*m**3 - 6\/7*m + 2\/7 + 6\/7*m**j = 0. What is m?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 6*h**2 - 10*h + 2. What is s(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5 - 40320*t**4 + 134538858*t**3 + 6331515168*t**2 - 191920634829*t = 0. What is t?\nAnswer: -67, 0, 21, 6743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*h + 1 + 5, 0 = 5*j + 4*h - 32. Suppose 0 = -2*f + j*x - 12, -5*f + x + x = 22. Which is the third biggest value? (a) 3 (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 b when three letters picked without replacement from {b: 16, w: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49, 60, 83, 124, 189?\n\"Answer: z**3 + 4*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5784 (base 12) to base 15.\nAnswer: 2d4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.628 * 6.6\nAnswer: 4.1448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07397005 - -0.074. What is v rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3262*w - 3261*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 611117, 2, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.65173 centuries in decades?\nAnswer: 26.5173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) 4\/3 (c) 1\/3 (d) -27\/4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 7*m**2 + 5*m + 6. Let q be v(6). Let a be (q + 2\/4)*(9 - 1). Suppose 5*w + 71 + 62 = 2*c, 5*w = a*c - 281. List the prime factors of c.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 + 369 - 90)*(5*i**2 - 4*i**2 + 0*i**2).\nAnswer: 377*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -o - 39. What is the third smallest value in o, 2, 0.392?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 23*z + 3. Give b(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8667833.86 rounded to the nearest 10000?\nAnswer: -8670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 14*t + 15. Let d be x(-11). Let v = 53\/3 + d. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 136 = -524. Let j = -333113 - -333126. What is the remainder when d is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/9 + (-30)\/135. Let g(r) = 1516*r**2 + o - 1513*r**2 - 1. Let b(t) = -t**2 + t**2 - 4*t**2. Calculate g(b(a)).\nAnswer: 48*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16352186 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4713 + 6540. Calculate the greatest common divisor of q and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 887758201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212120011210 + 1101?\nAnswer: -1212120010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {z: 1, s: 4, x: 1, l: 2, k: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -391*z. Let i(u) be the first derivative of -1\/3*u**3 + 84 + 0*u**2 + 0*u. Give i(v(t)).\nAnswer: -152881*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 978 + -869. Find the second derivative of -53*c**2 + 39*c**2 - 181*c - 63*c**2 - i*c - 13*c wrt c.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 503960957 to the nearest integer?\nAnswer: 22449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 239911*q**2 - 413699*q.\nAnswer: 479822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 419, 842, 1265?\n\"Answer: 423*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {l: 2, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 12. Let f = 34 + p. Factor -8\/3*x + 2\/3*x**f + 8\/3.\nAnswer: 2*(x - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171231707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d. Let b(c) = 5*c + 159753. What is w(b(u))?\nAnswer: 25*u + 798765","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 6*z**2 - 7*z - 1. What is the remainder when s(-5) is divided by (18\/(-15))\/((-3)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5570, 5637, 5702, 5765, 5826, 5885, 5942?\nAnswer: 5997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35 + 61 + 2*j**3 + j**2 - 10 + (-14*j**2 + 22*j - 22*j)*(j + 3 - 3).\nAnswer: -12*j**3 + j**2 + 86","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 383081 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + (((sqrt(180) + 1*sqrt(180))\/sqrt(4) - (sqrt(720)*2)\/sqrt(9)) + 0)**2*1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, r: 3, d: 3, c: 1, p: 3, v: 1}. What is prob of sequence ffvd?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**2\/v)\/v*v*v)\/(v\/(v\/(v*v**(-9)))))\/(((v*v**5*v*v*v)\/v)\/v*v)**(-14))**(-2\/29) assuming v is positive.\nAnswer: v**(-244\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 576 - 58345?\nAnswer: -57769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.99 + 0.01. Let b = f + -6.08. Let y = b + 0.07986. What is y rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18296996 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrdr when four letters picked without replacement from drrrrrrrrrlrrr?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.066 - 22.066. Let g = b - -20. What is the fourth smallest value in -0.4, g, -1, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -40*t - 272. Let z be x(-9). Calculate the greatest common divisor of 352 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7357, 0.16, -5, 1\/9 in ascending order.\nAnswer: -5, 1\/9, 0.16, 7357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1243256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/18)\/(88\/(-396))*(-84)\/(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4653 - 4013 + 4692 - 3485 - 3836)*(-4*w - 1 + 1) to t*w + h and give t.\nAnswer: 45180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 19*w**2 + 18*w + 2. Suppose 0 = 2*q + q + 54. Let y be x(q). What is the remainder when -18*(6\/4 - y) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 29*w. Let u(a) = a. What is -s(o) + 145*u(o)?\nAnswer: 116*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26149873 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: In base 7, what is -42 - 10?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 4\/3, 4, 0.4, -99, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - r - 2276 = 2*v, 3*v + r - 1364 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) - -1*sqrt(1125).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1734830 and 1140?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 620, 634, 648, 662?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q - 23 + 37 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*t + 110, 2*a - 6*a + 389 = -3*t. What is the highest common divisor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/4 + 0)\/((-127)\/(-508))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4359 or -4361?\nAnswer: -4359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/8 - (-12)\/16. Suppose n = -q - 4*q + 15. Is (-35)\/(-4)*(q - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1797760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002473 to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 2:36 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4193*m + 20908. Determine j(-5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-484)\/484)\/(2\/36).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 less than 1668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 + 1481*o**2 - 29731*o\/2 - 16346.\nAnswer: (o - 11)*(o + 1)*(o + 2972)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 12*q + q**3 - 2*q**2 + 1 - 10 + 0. Let w be (6\/54)\/(3\/135). Is p(w) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r + 73*r = 468. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w = f - 110, 5*f - 635 = 2*w. What is the greatest common factor of 50 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) - (-19)\/1. Suppose 0 = b + 2*b - g. Let l be (-4)\/(0 - 2) + -1. What is the highest common divisor of b and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -535*g - g**4 - 528*g - 5*g**3 + 1 + 1064*g as m*g**3 + k*g**2 + p + u*g + x*g**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12944582.4 rounded to the nearest 1000?\nAnswer: 12945000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -7, -26, -55, -94?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4992 and 64704.\nAnswer: 1682304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjskssfjkcsssjpj. What is prob of sequence ksjs?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 6. Let d be r(-6). Suppose 3*h + 4*z + 34 = 2, -3*z - 15 = d. Suppose -m + q = -0*m + 9, -2*m - q - 3 = 0. Is h <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(3\/4)))\/(r**(2\/7)*r))\/(r**(-10)\/(r**(-1\/4)\/r)) assuming r is positive.\nAnswer: r**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54539879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(192) + 0 - sqrt(192) - sqrt(192) - ((sqrt(84)\/sqrt(4))\/sqrt(7) + 3).\nAnswer: -9*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Is 111114 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3 = 4*q + 25, 5*j - q = 27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6430189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000076338497 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17129, -34231, -51333, -68435?\n\"Answer: -17102*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35673 + -35677. Which is the fourth biggest value? (a) -10 (b) 193 (c) 2\/17 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 1. Suppose -h = -5*g + 15, g - 1 = 5*h + 2. Let z be 2\/(1\/g*2). Calculate the least common multiple of l(z) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 592*n**2. Let q(g) = -3*g**2. What is f(q(o))?\nAnswer: 5328*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6445, -7992, -9539?\nAnswer: -11086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 1\/1 + 3. Suppose 2*b = 10, -4*l + 0 - 37 = -o*b. Let x(t) = -t**3 - 3*t**2 - 3*t + 2. Is 11 a factor of x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323906314 divided by 2.\nAnswer: -161953157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13690705 divided by 1.\nAnswer: 13690705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.4114353 to 1 decimal place.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 111*y**2 - 17*y - 207. Is u(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1808149\/48 - 37672. Calculate the common denominator of n and -1\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/74259 and -69\/16502?\nAnswer: 148518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**2 - 12. Let h be k(-3). Let q = 54 + h. Solve 2*p = q*p - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 - 3 - -16 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9a69 - -4?\nAnswer: 9a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*y = -11552, -21*y = 5*l - 17*y - 14414. What is the common denominator of -19\/55 and (l\/540)\/37 + (-1 - 1)?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -815, -262, 291, 844, 1397?\nAnswer: 1950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121361, -242728, -364107, -485504, -606925, -728376?\nAnswer: -849863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -241 + -1?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13435 - -13507. What is the greatest common factor of c and 12708?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*s**2 + 4*s**2 + 17*s**2 + 3*s**2 + 11*s**2)*(24*s + 5*s + 40*s).\nAnswer: 3726*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*sqrt(1872)*-4.\nAnswer: -192*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -20)*20\/16. Calculate the greatest common divisor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -124 - -3?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j = -60. Calculate the greatest common factor of 60 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 21*v**5 - 40*v**4 - 411*v**3 + 398*v**2 + 192*v - 160 = 0.\nAnswer: -4, -2\/3, 4\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 409.3598g to milligrams.\nAnswer: 409359.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 79\/2, -219, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1065370 - 9*y**3 - 1065370.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2\/(s**(-2)*s))**(-37\/4)\/(s\/(s*s**(-7))*(s**6\/s)\/s)**(-4) assuming s is positive.\nAnswer: s**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(147) + 2)**2.\nAnswer: -14*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by 53.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 20, o - 2*f + 3*f - 120 = 0. What is the remainder when o is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.556228m in micrometers?\nAnswer: 556228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/4 and (-841)\/(-116)*3\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 15*j**2 + 14*j + 3. Let m be 20\/25*35\/(-2). Let w be a(m). Differentiate -1 + 2*y + 3*y + w - 4*y wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 1625.\nAnswer: 17875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 1:18 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a + 7 - 6*a + a. What is the units digit of u(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b - 15. Let w be s(11). Is 79\/2 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2029.30746 + 49033.\nAnswer: 51062.30746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 9*x - 16. Let h be o(-3). Sort 17, -5, h.\nAnswer: -5, h, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 20, 5*c + 278 = 3*b - 150. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452200 divided by 323.\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151425?\nAnswer: 3, 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/51 (b) 2\/11 (c) -1\/2 (d) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/2)\/(-5 + 6). Suppose -4*s - 11 = -s - 5*t, y = -s + t - 5. Is -6 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-1 + sqrt(114))*4 - 5*2*sqrt(114))\/((sqrt(384) + sqrt(384) + -1*sqrt(384) + sqrt(384) - sqrt(384))*3).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b + 2cbd?\nAnswer: 2cd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*c**3 - 74*c**2 - 12*c.\nAnswer: -2*c*(c + 6)*(6*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + 0.0328?\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15898, 31858, 47870, 63928, 80026, 96158?\nAnswer: 112318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2 - 46*d - 9. Let p be (-12)\/(-15)*1*5. Calculate the smallest common multiple of (-10)\/(-4) + 2\/p and w(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.4405512 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141 and 22983?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-40)\/(-36)*30\/25)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a0 (base 12) in base 7?\nAnswer: 10326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x. Let g(d) = 51*d**2 + 2*d. Give g(m(c)).\nAnswer: 2499*c**2 - 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/64 of a day?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9166.111 days?\nAnswer: 791951990400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 2*m + 2*m + (0*m**2 - m**2 + 5*m - 4*m)*(0*m**2 - 2*m**2 + 7*m**2).\nAnswer: -3*m**4 + 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 675 and 564705.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f - 1. Let q(i) = -i. Let v(j) = -2*a(j) + 10*q(j). Let m(p) = p. Let t = 6 - -45. Let g = t - 50. Determine g*v(y) - 3*m(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -52545500 to the nearest one hundred thousand.\nAnswer: -52500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*b - 85 - 2*b**2 + 85 to y + a*b + s*b**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3\/8 - 4789*k**2\/4 - 334005*k\/8 = 0.\nAnswer: -9543, -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/5*(-84 + 16104\/176)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 v when three letters picked without replacement from {v: 5, m: 5, s: 2, q: 7}.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367876.\nAnswer: 2, 91969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -2*f + 8*f. Let h = -16 - f. Suppose -8*c = -h*c - 272. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i**3 - 16*i**2 + 26*i - 2. Let p(t) = -6*t**3 + 16*t**2 - 18*t + 1. Determine -2*h(l) - 3*p(l).\nAnswer: 2*l**3 - 16*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47\/105 or -2?\nAnswer: 47\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/11, -1\/5, 1063 in descending order.\nAnswer: 1063, 24\/11, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/17))**(1\/35) assuming g is positive.\nAnswer: g**(2\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*s**2 - 355*s**2 + 1775*s**2 - 371*s**2 - 345*s**2 - 355*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -0.16?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i + 9. Let p(w) = -6*w + 14. Let o(b) = -8*j(b) + 5*p(b). Let n be o(-5). Is 10 a factor of n\/(-9)*102\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 3*g - 5*g + g + 2*g - g + (-g + 0*g + 2*g)*(-3 + 3 - 1) + 0*g + 6 - 8 - g.\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + u**2 + 9*u + 29. What are the prime factors of s(-12)?\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 2 in descending order.\nAnswer: 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5573 is divided by 140?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 15*u + 10. Calculate y(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1692a (base 11) to base 3.\nAnswer: -1012120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**3 - 13*j - 13. Let v be 4\/(-7) - (-390)\/70. Suppose 5*c = 3*c + 2*g - 18, 2*g - 36 = v*c. Let h(s) = -s**3 - 2*s - 2. Give c*q(n) + 39*h(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/90 and 187\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3*i - 5*i**2)*(502 - 893 - i - i).\nAnswer: 10*i**3 + 1955*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25, -63, -125, -211, -321, -455?\n\"Answer: -12*g**2 - 2*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30138?\nAnswer: 2, 3, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 486759*h*i - 797757*i wrt h.\nAnswer: 486759*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(27\/5)*c\/(c*c**47))\/(c**(-35)*c**(-7)) assuming c is positive.\nAnswer: c**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-320)*12)\/((-9)\/((-1035)\/598))\nAnswer: -3\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 11*s**2 - 5*s**2)*(-5*s - s + 5*s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8438 to two decimal places.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 933.23647927.\nAnswer: 932.73647927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.7 and 0.0445.\nAnswer: -5.6555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -117\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)*(-5)\/15. Solve -2*p = -10, o*k - 25 = 5*k - p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18326, 17645, 15796, 12197, 6266, -2579, -14920?\nAnswer: -31339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9644.097 - 9644. What is the biggest value in -4, 155, o?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1160)\/3915*18\/8.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (2 - (-2 - (7 - 9))) + 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2. Let u(l) = -2*l**2 - 7. Let c(m) = m**2 + 3. Suppose 17 = -4*k + 5. Let y(b) = k*u(b) - 7*c(b). Give q(y(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3172 divided by -26.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.66 - 290515314?\nAnswer: -290515186.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9206235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k. Suppose 5 = -3*u - 22. Let f(y) = -13*y**2 + 9*y + 9. Let v(h) = -3*h**2 + 2*h + 2. Let s(p) = u*v(p) + 2*f(p). Calculate i(s(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -220353, -440705, -661057?\n\"Answer: -220352*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -5. Let i(s) = 51 + 3*s**2 + 3*s - 115 + 60. Let p(c) = 2*c**2 + 2*c - 3. Determine j*i(q) + 4*p(q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l*m*o*q + l*m*o - 2*l*m - 114*l*q + 9*l - 19*m*o*q + 2*m + 5*o wrt o?\nAnswer: 2*l*m*q + l*m - 19*m*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2. Let n(v) = -9*v**2 + 38*v. Let h(k) = -3*k**2 + 13*k. Let b(f) = 17*h(f) - 6*n(f). What is q(b(r))?\nAnswer: 18*r**4 - 84*r**3 + 98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (96\/(-15) - -4)\/(189\/(-240)) and 10\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwnw when four letters picked without replacement from {s: 3, w: 2, b: 2, n: 5}.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -176545\/8?\nAnswer: -176545\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(1425\/(-76) + 17). Let o(z) = -z**3 - 6*z**3 + z**3 + 4*z**3 - 4*z**2. Let h(p) = -2*p**3 - 3*p**2. Determine y*h(j) - 3*o(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i = -25. Suppose 0*b + 47 = -5*b + 4*t, -4*t = b - i. Let w(m) = -2*m - 5. Is w(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55 or 3?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(6\/17)*d**14*d assuming d is positive.\nAnswer: d**(261\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e1630 (base 15) in base 13?\nAnswer: 3c7548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 3)*(-4 + 3). Let o = 5.6 + -5. Let j = o - -0.4. Sort w, -2, j in decreasing order.\nAnswer: j, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phhhvhxvp. What is prob of sequence vvhx?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*t - 2. Let a be (t\/3)\/(23\/138). Suppose 2*v - a*l = 68, -3*v - 4*l + 156 = 2*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54413603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(76))\/sqrt(4).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5961, 5958, 5953, 5946, 5937, 5926?\nAnswer: 5913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -100?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.113 > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20720054*0.8.\nAnswer: -16576043.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 30305*q + 242509. Give n(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(95)\/(sqrt(5) - sqrt(5)*2) - -1*sqrt(76)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6028 a factor of 1095540776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, 731, 2639, 6349, 12461, 21575, 34291?\n\"Answer: 100*a**3 + a**2 + 3*a - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 76*h - 136.\nAnswer: -4*(h + 2)*(h + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5 - 3*r**4 + r**3 + 11*r**2 + 12*r + 4 = 0. Calculate r.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/118 (b) 3\/5 (c) -2\/7 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/9*(-2)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4 + 2 - 1 + 0 + 2 + (-3 - 4 + 6)*(1 + 0 - 3) - 1 - 6 + 2)*(1 - 2 + 0)*(1 - 1 - 2*f) to the form j + l*f and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 9*q**2 - 8*q - 10. What is k(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 0. What is the smallest common multiple of q and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*r - 2*i + 52, -2*r = -3*i - 39. Suppose -21 = 2*j - u, 2 = j - 3*u - 0*u. Let l = r + j. Solve k - 6*k + l = 0, 0 = 4*p + k - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 17?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + (sqrt(1008) - 1*sqrt(1008)) + -3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 481125, 962250, 1443387, 1924542, 2405721?\n\"Answer: a**3 + 481118*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317910 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -125074572*f**2*i**3 - 2*f**2*i - 24*f**2 + f*i**3 + 26213*f*i**2 + f*i + i**3 - 8*i**2 wrt i.\nAnswer: -750447432*f**2 + 6*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 0 + 0*a**2 - 18*a + 1\/20*a**5 + 0*a**4 + 1\/30*a**6 + 0*a**3 + 1\/168*a**7. Factor f(k).\nAnswer: k**3*(k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2279468 by 674.\nAnswer: 3382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + (8 - 7) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-5)\/(-7))\/((-12)\/(-204)) - 9)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**2 + 5*p - 11. Give v(-5).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-28))\/((25\/70)\/((-135)\/(-18))).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -2, 5 in ascending order.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l - 455. What is w(42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 - 3*l**2 - l**2)*(l**2 + 5*l**2 + 0*l**2) - 3*l**4 + 2*l**4 - l**4 to the form f*l**3 + b + t*l**4 + y*l + k*l**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 5*o + 4. Let q(u) = 3*u**2 - 14*u - 11. Let y = -711 - -717. What is y*q(z) + 17*p(z)?\nAnswer: z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -13661?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16412.\nAnswer: 2, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 343*q + 18910. Give c(-274).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617222?\nAnswer: 2, 43, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*q - 25, 5*i + 14 + 11 = 5*q. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -48.9. Which is the closest to w? (a) 1\/6 (b) 2\/3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iizi?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 - 6*f**2 - 4*f + 19. Let j be p(6). Let m = -211 + j. Solve 9 = -m*n + 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from {o: 1, b: 2, a: 7, w: 3, c: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -38 + 18 - (-2 - 4) - 7 - 40?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*g, 4*l - 29*g + 31*g = -14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 4*a**2 + 5*a - 3. Let l be 6 - 3 - -3 - 3. Let f be u(l). Suppose -55 = -2*q - f*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 7, 4579, 0 in increasing order.\nAnswer: -4, -3, 0, 7, 4579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43302203?\nAnswer: 7, 6186029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - (-16 + -2 + 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5864 - -4.3663. Let i = -7.06 + j. Let q = i - -0.115. Round q to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 3*f**2 + 10*f**2. Let h(q) = -20*q - 17. Let w(j) = -7*j - 6. Let l(m) = 6*h(m) - 17*w(m). Give l(x(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 212 + -532?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7)*y*y**(-1)*y\/(y\/y**5)*y**(-1\/3))\/((y\/y**(-1)*y)\/y**(-5))**(1\/2) assuming y is positive.\nAnswer: y**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 2. Let o = 0 + 0. Let a be r(o). Solve -3*m + 11 = a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/741 and 131\/228.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/18*((-128160)\/896)\/89*6\/5.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r = 25*r - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -798 - -797.8. What is the biggest value in 2, 3\/5, 0.3, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 441*v**5\/2 - 330141*v**4\/2 - 62908*v**3 - 5992*v**2 = 0. What is v?\nAnswer: -4\/21, 0, 749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -134226, -131505, -128784, -126063, -123342?\n\"Answer: 2721*p - 136947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -3*k - 123. Let r(c) = -2*c**2 + 4*c + 593. Calculate the remainder when k is divided by r(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -137, -105, -51, 31, 147, 303, 505?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 70 - ((-37 - -148) + -61)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f**2 + 52*f - 27. Give m(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44580 - 724?\nAnswer: -44ca4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Suppose -3*x = -a*x - 39. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13458121 divided by 109?\nAnswer: 123469","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 14, u: 4}. Give prob of picking 4 r.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 - -0.96. Let j = -51 + 51.23. Let l = j + -0.73. Is l != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 3860*f**3 + 3568*f**3 - 162.\nAnswer: -292*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5790391 to the power of 1\/2, to the nearest integer?\nAnswer: 2406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:32 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-2\/55)\/n)\/n)\/n**(-4\/17))\/(n*n\/(n\/n**(-1\/15)))**8 assuming n is positive.\nAnswer: n**(-23191\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199177725?\nAnswer: 3, 5, 389, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 42 (b) -0.05101 (c) -0.02 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 11*b - 25. Suppose 8*k - 23 = 97. What is the greatest common divisor of b and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27344 divided by 4.\nAnswer: -6836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zifmm. Give prob of picking 2 m, 1 f, and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 39, -7, 3, -3, -5.\nAnswer: -7, -5, -3, -1, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -31. List the prime factors of 8\/q + (4 - (-19 + -2)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, 143, 294, 461, 650, 867, 1118?\n\"Answer: a**3 - a**2 + 137*a - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/5 - 42*t**3\/5 - 397*t**2\/5 + 924*t\/5 - 484\/5 = 0. What is t?\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.29 - 0.49. Which is the second smallest value? (a) -18 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.1 + 10.1. Let b be ((-32)\/24 + 2)*63\/6. Let y be (12\/16)\/((-3)\/2). What is the closest to 1\/3 in y, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**(-12\/5)*((u*u**(-2\/5)*u*u)\/u)**2 assuming u is positive.\nAnswer: u**(88\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3030241124 + 1?\nAnswer: 3030241130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 g when four letters picked without replacement from uuuuugguuuuuuguu.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1352, -5380, -12082, -21452, -33484, -48172, -65510, -85492?\nAnswer: -108112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250966777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(20)\/sqrt(4))**2 + -4*1*sqrt(5).\nAnswer: -4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 9*x - 6. Let k be p(9). Let g = k + 16. Solve 10 = 2*m + 4*q, -7*q + 2*q - g = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848677298.\nAnswer: 2, 7, 17, 3565871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 11:09 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 7*c + 3. What is the units digit of w(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + u = 3*u - 19, 25 = 5*u. Suppose 2*v = a*v - 3. Factor 2*f**3 + 2 - f**4 - 2*f + 2 - v.\nAnswer: -(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38814205.16 rounded to the nearest 10000?\nAnswer: 38810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrkk when four letters picked without replacement from {k: 4, r: 9, p: 1, d: 2}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 2*k - 5*k + (6 - 3 + 3)*(0*k - 2*k + k) + k - 4 + 4 + (0 - 5 + 6)*(3*k + 3*k - 13*k) - 4*k + 3*k + 2*k.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.00118 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34212*g**2\/5 - 6*g\/5.\nAnswer: 6*g*(5702*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)\/f**(1\/9)*f**1\/f*f**3 assuming f is positive.\nAnswer: f**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 1:02 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24738, 49435, 74132, 98829, 123526, 148223?\nAnswer: 172920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1617)*2 - sqrt(165)\/sqrt(5)*-6)*3)\/((sqrt(275) - (sqrt(275) + (sqrt(275) - 3*1*sqrt(275))))*1).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522 = -1119*j + 1209*j + 2322 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (66\/24 - 4)*(4 + -28). Let b be (-138)\/(4\/(-12)*3). Let f = b - 63. Calculate the highest common factor of u and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -1) + 145 - -10. Solve 163*j = q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8837 - 2*x + 1193 - 2008.\nAnswer: -2*x - 9652","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 4*f + 4*f)*(2 + 6 + 2)*(5 - 3 + 5) to r + j*f and give j.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 710040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(((-12)\/(-10192))\/(168\/32))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from bhhhbhhhhhhhh?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-3 - 0)\/(-15)). Let t = u - -29. Let r = t - 10. Let k(f) = f**2 - 3*f + 5. Determine k(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 5. Let l(d) = -3*d + 9. Let q(y) = -9*c(y) - 5*l(y). Suppose -10*b + 5*b - 20 = 0. Let h = 5 + b. What is q(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - (37 - (-74 + 50)) - -5?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjc when three letters picked without replacement from bcbdbdjb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-12) - 114\/(-8). Suppose 0 = -21*g + 2143 - 337. Suppose 0 = 9*f + i - g. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 8*v + 18. Give k(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-1) + (-14)\/(-2). Suppose 3*h - 5 = -2*k + 7, 10 = w*h. Let f be 2 - ((-2)\/(-6)*12 + -27). Solve -k*t = 2*t + f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7*w - 8*w = 5, 0 = -3*w. Solve a + 4*s = 18, -5*a - 4*s + 6 = -x*s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30438 is divided by 5059?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -22*w + 10*w. Suppose 5*t + w*f - 13826 = 0, -5*t + f = -t - 11044. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*m*p**2*x - m*p*x - 9*p**2*x + p*x wrt m?\nAnswer: 15*p**2*x - p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-648)\/(-180) + 6\/(-10). Suppose u*a - 4*a + 1 = -3*f, -f = a - 5. Solve 3*r - 9 = 2*n, 1 = 5*r - a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -b1b?\nAnswer: -b1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 32 = -82. Suppose -k*c + 2183 = -1993. What are the prime factors of c?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -2, 41, 0.1 in decreasing order.\nAnswer: 41, 0.1, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 33*g + 112. Let u = -2082 - -2086. Calculate v(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 2 + (2 - 2 - 2)*(1 + 0 - 2))*(3*l + 0*l - 2*l)*(2 - 3 + 4) to the form a + p*l and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 567929 at most as big as 567929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*i - 153*i + 203*i - 32*i**3.\nAnswer: -32*i**3 + 314*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23435*r*v - 2*r + 49*v - 321 wrt r.\nAnswer: -23435*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3072*l**6 + 559*l**2 wrt l?\nAnswer: 368640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2 - 2*l**2 + 2 - 4 - 2*l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 13*z**2 - 11*z + 11. Let c(n) = 7*n**2 - 6*n + 6. Let x(v) = -7*c(v) + 4*q(v). Let j(f) = 7*f**2 - 5*f + 5. Give 2*j(w) - 5*x(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-2))\/((1825\/(-73))\/(-50)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17789451 is divided by 25970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k + 172 = -26 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**4\/4 - 8*n**3\/3 + n**2 + 11*n - 4. Let z be d(-8). Which is bigger: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 266*w**2 + 248*w**2 - 515*w**2 + 3*w + 182. Let u be n(-12). Solve -2*i - 2*p - 20 = -7*i, 0 = u*p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b + 20 = u, -5*u = -4*b - 45. Suppose u*c + 0 + 3 = -2*o, -2*o - 11 = -3*c. Sort 6, o, 4 in descending order.\nAnswer: 6, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**4\/6 - 2*z**2 - 6*z + 6. Let v(b) be the first derivative of m(b). What is the derivative of v(o) wrt o?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 861002913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*h**2 + 4*h - 4*h)*(h + 5*h + 2*h) + h**3 + 2*h**3 - h**3 + (3*h - 1 + 1)*(-4 + 4 - 2*h**2) in the form w*h**2 + c + l*h + x*h**3 and give x.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.8 + -78.2. Let q = u + 89.9898. What is q rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*-4)\/(-2) - -4. Let u(f) = f. Let x be u(2). Suppose -2*t = -x*k - 1 + 7, 23 = 3*k + 4*t. Which is greater: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157570985659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 6 = 0, -997*t + 993*t = -15*y - 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 957*i + 960*i + 32, -3*b - 24 = -4*i for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.1872471 to 1 dp.\nAnswer: 42.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 26*h**5 + 759*h**4\/2 + 3587*h**3\/2 + 4955*h**2\/2 - 2475*h\/2 + 125 = 0.\nAnswer: -5, 2\/13, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -13. Let g(t) be the second derivative of t**6\/720 - t**4\/12 - 3*t. Let w(a) be the third derivative of g(a). Determine w(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -520674 by -7546.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 2:23 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 111, 112, 113?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148457536.\nAnswer: 2, 2319649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2952877 divided by -2\nAnswer: 2952877\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11870365.738 + -0.5.\nAnswer: 11870365.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4\/4 + 5*z**3\/3 - 5*z**2\/2 - 2*z + 3677. Let x be 2 - 3*(-4)\/12. What is t(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20164 + 20169. Let l(k) = -k**3 + 7*k**2 - 8*k + 8. Let z be l(6). Let r = 6 + z. Solve 5*u + 3*g = -40, u + c = 2*u - r*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-319667)\/(-7446) - 43)*(-45)\/35?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-199 + 189)*(28\/(-8) + 5).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1728*g**3*h**2 - 161*g*h**2 + 3*g*h wrt g.\nAnswer: -10368*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/(7\/84). Let s(g) = -4*g - 3*g - b*g + 14*g. Let k(j) = -26*j**2. Give s(k(y)).\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -15*g - 3*g**2 + 2*g**2 + 13*g - 1. Calculate q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46061?\nAnswer: 46061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000136088 rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(4 + (-22)\/6). Let w = 6 - 11. Put q, w, 4 in decreasing order.\nAnswer: 4, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454679087 to the power of 1\/2, to the nearest integer?\nAnswer: 21323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8146467 to the power of 1\/2, to the nearest integer?\nAnswer: 2854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -20*o. Let r(w) = -21 - 35 + w - w + 34 + 2*w. Determine d(r(y)).\nAnswer: -40*y + 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(t + 4*t - 7*t) + (5 - 4 - 2)*(0*t - t + 2*t) + 3 - 3 + 7*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n - 106. Determine i(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 550*w - 1654. Let u be m(11). Which is bigger: u or 4398?\nAnswer: 4398","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502795.\nAnswer: 5, 100559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g + 99*g - g)*(-3*g + 2*g + 3*g + (4 + 0 - 6)*(3 - 2*g - 3)).\nAnswer: 672*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.6 rounded to the nearest integer?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130050 - 1426778551\/10971. Let h = -98336\/4421313 + k. Let p = h - -38339\/2418. What is the common denominator of -103\/22 and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -7, -2\/7, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 0.1, -27, 0.13, -17\/4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1888 = 4*o + 1067*o - 254 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 2. Let i(d) = -3*d**2 + 5. What is -2*i(j) + 5*r(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/212, 68.9, 8, -2 in descending order.\nAnswer: 68.9, 8, 3\/212, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/4 (b) 39 (c) 0.5 (d) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-120)\/18) - (-3)\/15. Sort m, -20, 5, -2, -3 in decreasing order.\nAnswer: 5, m, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y + 6. Let s be k(0). Let d(c) = -2*c + 1. Let g(m) = 1 - m - 4*m + 2*m + m. What is s*g(b) - 4*d(b)?\nAnswer: -4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146591 + 189985 = 3344*i - 204062 for i.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5583013 is divided by 1287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 10:36 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - -0.63094.\nAnswer: 9.63094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 divided by -6?\nAnswer: -473\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 3877*x**8\/336 + 47*x**4\/24 - 7*x**3\/6 - 46*x**2 + 47*x. Find the second derivative of v(l) wrt l.\nAnswer: 77540*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14950796 divided by -7\nAnswer: 2135828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5*6\/75*135.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + i - 11, 0*f = -3*f - 2*i + 18. Let g = -7 - -12. Let o(v) = -v - 2. Let x be o(-4). Put x, f, g in ascending order.\nAnswer: x, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**3 - z**2 - z. Let q(r) = -2*r - 5*r**3 + r + r**2 + 3*r. Let d(s) = -5*q(s) - 8*y(s). Let l = 6 - 10. Determine d(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 9*r**3 + 20*r**2 - 1874*r + 2095. What is the derivative of q(k) wrt k?\nAnswer: 54*k + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 32.7 (b) 4 (c) 1.8 (d) 0.5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 = 270\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 12*y**3 + y**2 + 3*y - 7. Let t be f(5). Suppose 3*w = -24 + t. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1381*h**6*n**2 + 2*h**4*k**2 - 23*h**2*k*n**2 + 4*h**2*n + 2*h*k**2*n**2 - 2*k**2*n**2 + k**2 wrt h.\nAnswer: -165720*h**3*n**2 + 48*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 19. Let u = 7 + q. Suppose u*j - 18 = 5*r - r, 2*j = -2*r. Solve 3*i + 5*y - 7 = -0*y, -i + j*y = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/52584 and -19\/45072?\nAnswer: 315504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4927772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 19*k**3 - 5*k**2 + 10*k - 4. Is d(5) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.346421123+-8.2988\nAnswer: -8.645221123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4365 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: What is 16816206 to the power of 1\/2, to the nearest integer?\nAnswer: 4101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**4\/18 + z**3\/3 + 2*z**2\/3 - 14*z. Let a(w) = 0. What is w?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/4)\/((-2)\/(-16)). Suppose s*u = -u + 9. Let q be ((-7)\/3 - -4)*u. Solve 0 = -3*m - r - 3, 5*r - 12 = m + q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*d - 3 + d**3 - 35*d)*(-9*d + 10*d - 10*d).\nAnswer: -9*d**4 + 27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 21*v - 14. Let z be w(18). Let q = -37 + z. Suppose 4*j = 5*h - 651, -q*h - 4*j + 365 = -0*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-84)\/(-15) + (-15)\/25. Suppose p*u = 72 + 153. Calculate the remainder when u is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -50*q + 49*q. Let c = q + 74. Calculate the least common multiple of c and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -56*q + 1. Let y be r(1). Let s = y + 221\/4. Let p = 7 - 7.1. Is p < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**2 + 40985*m - 40990 = 0?\nAnswer: -8198, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 141, 1, 5 in descending order.\nAnswer: 141, 5, 1, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -38*v**3 + 5*v**2 - 3. Let l(x) = -39*x**3 + 6*x**2 - 3. Determine -3*j(p) + 2*l(p).\nAnswer: 36*p**3 - 3*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 + 2*n + 54. Calculate q(-6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z**3 + 27206*z**2\/7 - 115968*z\/7 + 57376\/7 = 0 for z.\nAnswer: -652, 4\/7, 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 + 2*g**2 + 13*g**2 - 2*g**2 - 7*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3716 - -3719. Let v(j) be the second derivative of -16\/15*j**d + 0 - 1\/30*j**4 - 64\/5*j**2 - j. Determine u, given that v(u) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 28874176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8776290.8 and 213.\nAnswer: 8776503.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*c - 4, 0*w + c = -3*w + 10. Suppose -5*p + w*h + 85 = -2044, 0 = 2*p - 4*h - 842. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 6. Let g(k) = -4*k - 5. Let i(c) = 5*g(c) - 4*w(c). Let p be 4\/(-6) - 2\/6. Let u be i(p). Solve -u*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -570 divided by 30.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1730994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95809 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 442005744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*k*n**3*z - 2*k*n**3 - 3*k*n + 2*k*z**2 + 919*n**3 + 369*n**2*z - 2*n**2 with respect to z.\nAnswer: -74*k*n**3 + 4*k*z + 369*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8739\/65 + 673\/5. Which is the nearest to -3? (a) -0.3 (b) m (c) -3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -206 + 407. What is the first derivative of s*b + 4*b**2 - 91*b - 80*b - 2*b**2 + 70 wrt b?\nAnswer: 4*b + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 14. Let g be z(10). Let h = 1585 - 1582. Suppose -g*o + 2*v = 6*v - 604, v - 449 = -h*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4347, -7710, -11073, -14436, -17799?\n\"Answer: -3363*s - 984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -18*p + 6475. Let u = p + -249. What is the second smallest value in u, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574, 1147, 1722, 2299?\nAnswer: 2878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -t - 0*t. Let f = -10 + t. Let w be (-1 - 1) + f + 28. What is the greatest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -473 - -471. Is f greater than -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 79 = -0*i + 4*s, 3*i - 51 = -3*s. Suppose -4*c - 5*h = -5*c + 9, h + i = 5*c. Suppose -2*q + c*q = 10. Solve 3*o + 2 = q*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 13, y: 1}. What is prob of picking 2 v?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80099 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**2 - 5*c - 14. Suppose -q + 88 - 78 = 0. List the prime factors of v(q).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -c49a7?\nAnswer: -c49aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/53286 and -38\/12850807.\nAnswer: 77104842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5051, -4596, -14243, -23890?\n\"Answer: -9647*g + 14698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dii when three letters picked without replacement from {d: 2, g: 6, i: 11}.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96851 = -1180*t - 35491 for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -15*z - 105. Determine o(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4)*(-1)\/12.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156 - 303. Let o = q - -147.000079. What is o rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 366 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 7*k**2 - 7*k + 18. Calculate the remainder when 48 is divided by t(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 4*r + 104 = -2*o, 5*o - 90 = -4*r. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 5, w: 4, c: 2, p: 1, i: 1}. Give prob of picking 1 i and 2 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -324 + 545. Let f = 253 - i. Solve p + 7 = -o, 2*p - 12 + f = -5*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13273\/70 - 129\/14. Let h = a + -181. Let q = 21353 + -64060\/3. Sort 0.4, h, -0.01, q.\nAnswer: h, q, -0.01, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -10. Suppose 4*x - 204 + 52 = r. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-46 + 5 + 13 - (-7 + (9 - 5))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 3*y - 1. Let q be t(2). Suppose 34*n = 33*n - 64. List the prime factors of (n\/20 - -2)\/(q\/70).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/2 + 310953*p**2\/2 + 24281712*p + 947342682.\nAnswer: -3*(p - 103807)*(p + 78)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4904 - 3270. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 34*g - 12. Let c(h) = 9*h - 3. Determine 22*c(x) - 6*w(x).\nAnswer: -6*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75.86 - 66.26. What is the nearest to 1\/2 in n, 4, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179617 - -383656. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 4:26 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3692 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 147518*r**2 + 147520*r**2 + 19.\nAnswer: 2*r**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18634 = -2*a + 46*i - 44*i, 4*i - 46603 = -5*a. Is a a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 3)*(-140 + 140 + 31*k).\nAnswer: 248*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 2616445654?\nAnswer: 2616445654.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 12*x**2 + x - 5. Give r(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y - 31 = -2*n, 16 = -3*n + 5*y. Suppose 0 = c - n*l + 4, 2 = -2*c - 3*l + 3. Let p = -729\/247 + 37\/13. Which is greater: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 3*b**3 + 77.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13533*k - 44 = -13511*k. Put -151, -12, k in decreasing order.\nAnswer: k, -12, -151","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4911*h - 14500. Determine o(-3).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.1, -16\/9 in ascending order.\nAnswer: -5, -16\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225 - -225.2. Sort 0.1, 2, a, -5\/4 in increasing order.\nAnswer: -5\/4, 0.1, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13516650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 434089309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6966 and 7.\nAnswer: 48762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 379633 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52147243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4407 = 3*m + 5*r, -2*m - 2922 = -4*m + 2*r. Suppose 8*j - 2*j = m. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l - 1. Let v(q) be the second derivative of -86*q**3\/3 + 269*q**2\/2 + 42*q. Let o(z) = -5*t(z) - v(z). What is the first derivative of o(u) wrt u?\nAnswer: 197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, 0.3, 2, -0.2389373?\nAnswer: -0.2389373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + t + 2. Suppose 0 = -5*w - 5, -4*s + w = 2*w + 1. What is the lowest common multiple of 2 and r(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 753, 1033, 1313, 1593?\n\"Answer: 280*u + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73338315.\nAnswer: 3, 5, 359, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 254954083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**1))\/l*l*l)**(-3\/4))**(-2\/51)*l**6\/l**(-4)*(l**1)**(-6\/11) assuming l is positive.\nAnswer: l**(104\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190676645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-2) - 3*-1*(2 + -8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4013, -0.02, 1, -5, -0.5 in increasing order.\nAnswer: -5, -0.5, -0.02, 3\/4013, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 659*d**2 + 676*d**2 - 2*d**3 + 663*d**2 - 1998*d**2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -3\/22, -0.4, -0.5, -413, 10\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35311, -35619, -35893, -36115, -36267, -36331, -36289, -36123?\n\"Answer: 3*u**3 - u**2 - 326*u - 34987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 175*f - 10508. Calculate m(60).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79.4 - 90. Let g = -7.6 - c. Is g != 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.534444 to 2 decimal places.\nAnswer: -3.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -294 + 298. Does 3 divide d\/30 + 84168\/540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2215367.16 + 44?\nAnswer: 2215411.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -184*f + 12899. What is t(71)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/2)\/((-3)\/2). Let h(x) = 5*x**3 - x**2 + x - 2. What is the units digit of h(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -14\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-93)*(-4774)\/(-308). Solve -5*a + 0*b = z*b - 6, -3*b - 11 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2377988, -2377974, -2377960, -2377946, -2377932, -2377918?\n\"Answer: 14*w - 2378002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 886*a - 1645. Is z(54) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (7 - 3 - (302 + 2))*(-25 + 24) and 2460.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 - 3*w**2 + 3*w**2)*(-327*w - 1439 + 1439 + (-2*w + 0 + 0)*(0 - 1 + 0)) to b + n*w**2 + i*w**3 + y*w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 19*o**2 + 0*o**2 - 2*o**2 - 14*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from llmlsmlmmlm.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*r - 10. Let o(z) = -10*z + 1. What is o(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-27 - (9 + -13))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259000\/33 + -7846. Let l = -493\/12 - -191\/4. Calculate the common denominator of s and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25512*v = -25479*v - 33 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -d2144e (base 16) in base 2?\nAnswer: -110100100001010001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - 1 - 0\/(-2). Let d(x) = -6*x**2 + 21*x**2 - 17*x - 3 - t*x**2 + x. Is 64 a factor of d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16418 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125688.\nAnswer: 2, 3, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 19.06. Sort 0, 0.1, q, -1\/3 in increasing order.\nAnswer: -1\/3, 0, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945381836.\nAnswer: 2, 7, 33763637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 18297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 71*i**3 - 922*i**2 - 7*i - 11. Give w(13).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 - 155*w**2 + 508*w - 343. Let z(v) = 5*v**2 + 1. Let d(r) = j(r) - z(r). Find x such that d(x) = 0.\nAnswer: -43, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 1. Let b be a(1). Let r be -8 - (15\/(-6) - b\/4). Sort 0, r, -2, -3 in decreasing order.\nAnswer: 0, -2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*v - 7*v + 57, -v = b - 12. Let w be 9 - -6*(-10)\/v. Suppose 0 = -4*s + 203 + w. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 4, z: 2, l: 4, t: 1, i: 2}. Give prob of sequence ij.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 57\/(-9))\/(9\/162*-15). Put 3, -4, -76, k in decreasing order.\nAnswer: k, 3, -4, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjit when four letters picked without replacement from {i: 1, s: 1, x: 1, t: 1, j: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b8 (base 12) to base 6.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = 84661 - 395786. List the prime factors of h.\nAnswer: 5, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 1, z: 1, l: 1, t: 1, y: 2}. Give prob of picking 1 z and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*l + 94 = 0, -2*l = -4*d - 0*l - 194. Is d >= -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19173149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiqqqqiiqqqqqqqqiqqq. Give prob of sequence iiiq.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 102 - -4?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*(p*((p*p**24)\/p)\/p*p)\/p*p*p)*p*p**(1\/7)*p*p**(3\/10)*p*p*p**(4\/13) assuming p is positive.\nAnswer: p**(-19337\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -20. Let x(r) = r - 5. Let o be x(b). Let v = 69 + -70. Are v and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = a + 41. Let t = -17 - a. Calculate the remainder when 54 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400801.3ug to grams.\nAnswer: 0.4008013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/83 + 86\/249. What is the second smallest value in 0, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5214\/5 - -5211\/5. Which is the second biggest value? (a) t (b) -2 (c) -1 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 9:43 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 208.83 + 1.17. Let n = c - 209.99811. What is n rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 11 + 1\/(-1). Let j be 8 - -1 - (-6 + g). Suppose -5*x = 4*r - 14, 3*x + 11 = 8*x + r. Solve -j*w = -x*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 7. Let i(z) = 4*z**2 + 39 + z - 54 - 3*z**2. Determine i(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 27*s**2 - 2471*s - 2473. What is z(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1948*s**2 - 1169*s**2 + 1967*s**2 - s**3.\nAnswer: -s**3 + 2746*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -21. Suppose c = l + 2. What is the smallest common multiple of 8 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h*n - 111180*h - 69451*n wrt h?\nAnswer: -n - 111180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/(39\/(-9) - -4). Let s = 61 - l. Suppose s = -2*p + 20. Solve 2*j - p = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 9:29 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -83*o. Let i(u) = 64*u**2 - 22. Let g(q) = -3*q**2 + 1. Let j(h) = 44*g(h) + 2*i(h). What is j(s(w))?\nAnswer: -27556*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(10\/3))**(-6\/19) assuming z is positive.\nAnswer: z**(-20\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2560 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2357 by 29383.\nAnswer: -2357\/29383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q + 88. Suppose r = 4*y - q, -17 - 15 = -3*y + r. Calculate the remainder when 23 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y + 6. Let j be t(7). Let x = j - 10. What is the second derivative of -10*f**2 + 2*f**4 + f + x*f**2 wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/5 and -125\/182604?\nAnswer: 913020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053\/63 - ((-126)\/49)\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 66\/5, -2\/5?\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -12*t**2 + 306*t + 189. What is b(26)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(44) + 1 - (sqrt(3564)*-2 - sqrt(3564)))**2.\nAnswer: 128*sqrt(11) + 45057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = 3*v, -2*v + 0*a - 4*a + 24 = 0. Let k = -0.3 + 1.3. What is the third smallest value in -2, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**7\/42 + c**4\/2 + 28*c**3\/3 - 26. Let y(i) be the third derivative of f(i). Differentiate y(a) wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-3\/19)\/y)**(-7))**39)**(-2\/11) assuming y is positive.\nAnswer: y**(-1092\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 688*n + 60736.\nAnswer: (n - 584)*(n - 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**2*q*r**2 - 2*k**2*q*r - 3*k**2*q - 1161555*k**2*r**3 + 27*k**2*r**2 + 7*k*q*r**3 + 4*q*r**2 - 56*q wrt r.\nAnswer: -6969330*k**2 + 42*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*u**2 + 121*u**2 - 229*u**2.\nAnswer: -276*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 827322751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -160a6 - -13?\nAnswer: -16093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 46 = c. Find the common denominator of c and (42\/(-4))\/((-5)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 238764 - 238767. Let y = -29 + 49. Which is the nearest to y? (a) -5 (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 5*d + 25, -5*j - 2*d = -5 - 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -28. Let o = 80 + -30. Calculate the greatest common factor of o and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 - 2587*z**2 + 1025*z**2 + 6*z**3 + 4*z**3.\nAnswer: z**3 - 1562*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/3 - (-2 - 1). Let m be (c\/2)\/((-4)\/(-8)). Suppose m*j = -3*q + 91 + 5, 4*q = -j + 37. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**3 - w**2 + 2*w - 3*w**4 - 22*w**4 - 2*w**3 + 0*w**3 to the form z + s*w**4 + f*w**2 + h*w + u*w**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -50, -0.02022, -0.2?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 39*p = 1404. Calculate the greatest common divisor of 108 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 418*c + 58*c**2 + 54 - 203*c - 204*c. Is 21 a factor of h(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169127, -338305, -507525, -676787?\nAnswer: -846091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -3*d + 5*y + 75, 89 = 2*d + y. Suppose 0 = -2*b - 2*b - 4*a + 64, -3*b + a = -d. What is the remainder when 29 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-5)\/120*(72\/(-5))\/(-12)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**3 - f**2 + 2. Determine o(2).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 2*t - 2*t + (2*t + t - t)*(0 - 2 + 4) - 5*t + 7*t - 7*t)*(-2*t + 6*t - 3*t) to i*t**2 + l*t + w and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101100110110011010 + 100?\nAnswer: -11101100110110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*s = -11, -4*s = q - 4 + 5. Let x be (q - (-186)\/(-66)) + (-32)\/(-66). Let n = 4 + -3. What is the closest to 1 in -5, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a**2 + 657*a - 1. Let w(d) = -7*d. Calculate o(w(j)).\nAnswer: -343*j**2 - 4599*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3656, -3736, -3818, -3902, -3988?\nAnswer: -4076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1021 + -1?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 14) in base 7?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 22 - 25) + 0 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12096 and 480.\nAnswer: 60480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 83142.\nAnswer: 581994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 50 = 11*j - 122. Let b be 2\/7 - 52\/(-14). Solve j*f - b = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.21 + -6.61. What is the closest to -3 in 2\/29, 3\/5, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22385, 179100, 604473, 1432832, 2798505, 4835820, 7679105, 11462688?\n\"Answer: 22388*p**3 + p**2 - 4*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 63 (b) 4 (c) 2290\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -2*k + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 276*w**2 + 2080*w - 3648.\nAnswer: -4*(w - 4)*(w - 3)*(w + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1029 and 149\/916104.\nAnswer: 6412728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1952, 10817 in increasing order.\nAnswer: -1952, -5, 10817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 2*d - 2*d)*(48 - 9 + 9)*(2 - 2 - 2).\nAnswer: -96*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 6:04 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 12:59 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 + 2) - (306 + -287)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 3\/2, -1, -1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12350 to the nearest one hundred.\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (7 + -3 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3106 - 17?\nAnswer: 3078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/32 or -810?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*z = -5*z, -36 = 5*a + 4*z. Let j be (-5)\/7 - 4\/14. What is the biggest value in -6\/11, j, a?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179 - 0.036\nAnswer: -179.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3, -66, 5\/102?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d - 3. Suppose -c = 3*k + 10, 2*c + 8 - 21 = 5*k. What is m(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -11*n + 10. Let l(x) = -6*x + 5. Let f(a) = 5*l(a) - 2*o(a). Let j(h) be the first derivative of 7\/2*h**2 + 3 - 4*h. Give 5*f(m) + 6*j(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11522 = 13*m - 12970. Does 85 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7474*l + 7510*l - l**4 + 13*l**3 - 15*l**2 - 33*l**2 = 0. What is l?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(6)*-6)**2 + sqrt(2) + (sqrt(2)*2 - sqrt(2)) + 1.\nAnswer: 2*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**5\/10 + w**3\/2 + w. Let p(i) = i**3 + i. Suppose -3*o = -7*o + 12. Suppose -6*t = -o*t + 3. What is t*u(b) + 3*p(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 110, 231, 356, 485, 618?\n\"Answer: 2*q**2 + 115*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8*i + 1)*(-3*i + 4*i - 2*i)*(0 + 5 - 3).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 360 = -16*g. Let o be (g\/45)\/((-1)\/9*-1). Solve o*n = -4 + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -991 + 1711 - 720 - 23507*a in the form q*a + m and give q.\nAnswer: -23507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 173300 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.020987362 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792173.3mg to kilograms.\nAnswer: 0.7921733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 14825.\nAnswer: -3, 0, 14825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124 - -124.000255. What is a rounded to five decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brbr when four letters picked without replacement from {b: 2, k: 9, r: 6}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -275232, -550450, -825634, -1100766, -1375828, -1650802?\n\"Answer: 3*r**3 - r**2 - 275236*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5*g = 16, 220*q - 4*g + 18 = 222*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 968534?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -36.21. Let y = -0.01 - o. Which is the closest to -0.1? (a) -1 (b) -1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11782 is divided by 302.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, -66, -175, -318, -489, -682, -891?\n\"Answer: u**3 - 26*u**2 + 2*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 3*z + 2*z + (2 - 4 - 1)*(2 + 2*z - 2).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5 = -3*k - 8, 0 = 2*k - 4. Let c = 5.05 - 5.15. What is the closest to c in p, 98, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 14. Let s = -4 - u. Let l = -0.9 + -0.1. Which is the nearest to l? (a) 1\/7 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*u - 34 = 0, -5*s - u + 77 = -35. What is the least common multiple of s and 104?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*b + 2*s = -86*b + 22, 5*b + 42 = -3*s. Put -3, 1, 5, b in increasing order.\nAnswer: b, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1169080 and 79640.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 8732 = -12*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (344\/(-6622))\/(10\/55)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**3 - 805 + 805.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67858.\nAnswer: 2, 7, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 4*i = 2*n + 33, -3*i - 4*n + 2 + 6 = -6*n - 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -517820 divided by -5.\nAnswer: 103564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*a**4 - a**3 - 10*a + 4?\nAnswer: 132*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/12295 + -799183\/49180. Let r be (-164836)\/(-252) + (0 - 5). Let n = 656 - r. What is the common denominator of n and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127830630 by 12783063.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517264 is divided by 186.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Let z = -5 + 8. Suppose 0 = -z*x + 6*x. Determine y(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 65389.91 years?\nAnswer: 65.38991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5 - 25*x**4 + 40*x**3 - 20*x**2 = 0. What is x?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**6\/40 - v**4\/6 + 3*v**2\/2 + 3*v. Let g(j) be the first derivative of k(j). What is the second derivative of g(h) wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/5)*v\/((v\/(v*v*v\/v**(-11)))\/v) assuming v is positive.\nAnswer: v**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 11*y**2 + 2*y + 14. Let x be p(5). Suppose x + 574 = 3*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w + 100. Let q(v) = 14*v + 200. Let j(o) = 4*q(o) - 9*z(o). What is the first derivative of j(m) wrt m?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1952 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 4. Let m be g(-8). Find the common denominator of 28\/45 and (m - (-21)\/(-10))*(-18)\/15.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 27 = -2*a. Let d(t) be the second derivative of -t**3\/6 - t**2 - 5*t. What is the units digit of d(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from pctlpthlwltpcp.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**4 - 118565*z**3 + 22641600*z**2 - 1446440960*z + 30829445120 = 0.\nAnswer: 64, 23521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8226*u**2 + 44. Let s(m) = 47*m**2. Determine y(s(l)).\nAnswer: 18171234*l**4 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 546697773 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - (-3 + 1*sqrt(425)) - (sqrt(425) + 1*sqrt(425)*3 + sqrt(425))) + 1)**2.\nAnswer: -200*sqrt(17) + 10641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k + 4*p = 7, -7 = -3*k - 2*p. Let w = 12.43 + -12. Let v = 0.03 - w. Which is the second biggest value? (a) 0.1 (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (6 + (-4 - -6 - 3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87006, 173998, 260990, 347982?\nAnswer: 434974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*i**2*u - a*i**2 + 20*a*i*u + a*i + 232631*i**2 + 3*i*u - i + u - 302 wrt i?\nAnswer: 4*a*u - 2*a + 465262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5665 times 1\nAnswer: -5665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42\/5 of a millennium?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q - 15 = 0. Suppose 0*i + i + 39495 = -5*n, 2*n + q*i + 15785 = 0. Round n to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 6*k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i - 2 + 2 + ((2*i - 5*i + 4*i)*(2 - 5 + 1) - 3*i + 2*i + 2*i)*(9 - 6 + 26).\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56.8 - -145.4. Let d = -91 + t. What is the second smallest value in 1, 0.2, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65593 is divided by 937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 5. Let s = 3 + 2. Let r be u(s). Let t be -3*(-3)\/18*r. Solve p + p = -c - 13, t = -p - c - 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l. Let g = 0 - 11. Let d(b) = -2*b. Let q(w) = g*d(w) + 4*a(w). Let v(c) be the second derivative of 7*c**4\/12 + 20288*c. Calculate v(q(k)).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 4*i**2 + 1. Let g be l(4). Let a(s) = g + 1 + s + 0*s + s**2. List the prime factors of a(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6846, -1, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 14. Suppose -3*y + g = -0*y + k, -6 = -y - k. Solve 0 = -3*n + y + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 1\/12*p**4 + p**3 - 2*p + 0 + 3\/2*p**2. Let w be k(-6). Solve g - 17 = w*n - g, 8 = 4*n + 5*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18638 + 105.668956\nAnswer: -18532.331044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.537 or 44?\nAnswer: -1.537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -144\/5 at least -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/6 and 57\/5452366?\nAnswer: 16357098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91879160 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tstc when four letters picked without replacement from {v: 1, t: 4, s: 1, c: 3, a: 7}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*n + 6. Let l be (n\/3)\/(3\/45). Suppose d = -5*s - 3*d - l, -5*d - 23 = s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**2 + 1077*q - 4304. Give i(4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (24958951\/(-76))\/(7 - (-87)\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - (-77115)\/(-16236)) + (-9)\/36. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10125550 to the nearest 10000.\nAnswer: 10130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 8*j - 4 - 7*j + 9.\nAnswer: 5*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101611236.07 + 2315478.07. Let r = z + 99295982.000373. Let h = r - 224. What is h rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 9:54 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 9 = 6*k. Suppose -3*y - 4*n = -2 - 10, -12 = k*y - 4*n. Solve i - 1 - 4 = y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*x - 70*x + 57*x.\nAnswer: 41*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2646053*y**2 + 295325*y.\nAnswer: 5292106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -915824.\nAnswer: -10074064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -214, -658, -1508, -2896, -4954, -7814, -11608?\nAnswer: -16468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 4, v: 3, p: 5, i: 1}. What is prob of picking 1 h and 1 q?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10759 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -232*j + 934. Calculate w(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.447 - -7.4418457. What is h rounded to 4 dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -979\/14 > -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-5)*10\/(-2). Let t(r) = -5*r + 5. Let m(x) = -3*x + 0 + 3 + 0 + 0*x. Determine n*m(z) + 5*t(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31\/2 + 1\/2*r**2 + 16*r = 0. Calculate r.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*k - 13*k + 2348 + 2127 = 0 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 14*y - 70. Find the second derivative of -30*w**5 + 24 - 4*w - 24 - y*w**5 wrt w.\nAnswer: -800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -489021 and -0.5.\nAnswer: -489021.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1648258 + 3?\nAnswer: -1648255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 139 + -126. What is the second derivative of 97 - t*j - 201 - 104*j**4 + 102 wrt j?\nAnswer: -1248*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/110 - (-3 + (-39)\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 18793.2.\nAnswer: -37586.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3 + 0 + 2 + 0 + 0 + 4 - 3 + (3 + 0 - 5)*(-2 + 2 - 1) - 1 + 1 + 2 + 0 - 5 - 1)*(-16 + 0 + 16 - 1789*w).\nAnswer: -3578*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 24990072?\nAnswer: -24990068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 9*k**2 - 2*k - 8. Calculate d(10).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1689*f + 3198*f - 1475*f.\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 4 - 5) + 4 - (-7 + 1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 - 0.13. Suppose 6*q + 11 + 1 = 0. Put q, 1, t in descending order.\nAnswer: 1, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -1 - 8*m - 1\/3*m**3 + 4*m**2. Give k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -280.0021 + 0.0021. Let m = u + 284. Which is the third smallest value? (a) 0.08 (b) m (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 823 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7968, -9053, -10140, -11229, -12320?\nAnswer: -13413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxbz when four letters picked without replacement from yssxxsszsbbbss?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/48)\/((-8)\/(-12) + 0)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**3 + 11*r**2 - 11*r. Let s(j) = j**2 - j. Determine 22*s(c) - 2*x(c).\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/515306 and 31\/1217996.\nAnswer: 13397956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74 * -9.\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/7 - o**3\/7 + o**2\/7 + o\/7.\nAnswer: -o*(o - 1)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 41 - 41)*(40 + 39 + 26*x - 81) - 4*x**3 + 4*x**3 + x**3 + (3*x - 2*x + x)*(1 + x**2 - 1) + 2*x**2 - 2*x**2 - 2*x**3.\nAnswer: -77*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 - 28*r - 59. What is the thousands digit of g(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 = -48*c + 61. Let h(p) be the first derivative of -1\/3*p**3 - p + 5\/2*p**2 + c. What is h(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 116.\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.079, 15, 2\/3, 1 in increasing order.\nAnswer: -0.079, 2\/3, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 222*a**4*r**2 + a**4 + 641*a**3*r**3 + 44*a**2*r**3 + 430*a**2*r**2 - 2*a*r**3 wrt a.\nAnswer: 5328*a*r**2 + 24*a + 3846*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*r = 215*r - 5*f + 211, -31 = 4*r + r - f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 19*m - 255. Determine q(27).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*w + 26. What is the remainder when 17 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (312\/9)\/(-1 + 4\/3) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**3\/3 + 5*n. Let x(a) = -a + 1. Let y(s) = 6*s - 5. Let m(g) = -5*x(g) - y(g). Give k(m(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113212333 (base 4) to base 3.\nAnswer: 11220122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*k + 28*k - 28*k + (2*k - k + 0*k)*(0 + 4 - 2))*(5 - 5 + 6*k) to j*k**2 + b + n*k and give j.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 12. Is w != 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -2 (b) 3\/17 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7)*i**(5\/2)\/i*i*((i*i**0*i)\/i)**(-2\/19))**(-3) assuming i is positive.\nAnswer: i**(-1797\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*u - 96, -2*d = 2*u - 16 - 32. Solve d = -5*o + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 2726694711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 1, a: 1, b: 2, y: 2, u: 1}. What is prob of picking 1 y and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101.5 - 103.5. Which is the closest to -0.1? (a) 2 (b) 0.0179 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 1976*k**3 - 71052*k**2 + 398104*k + 17052 = 0.\nAnswer: -21\/494, 7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -0.4 (c) 201 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**2 + 5*v + 2. Let o be q(-4). Suppose -2*t = -0*t - 22. Calculate the remainder when (-5 - -4)\/((-1)\/o) is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 8, -81*z - 5 = -80*z - 4*g. Solve 6*l = -z*l + 85 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 107597 = -10*g + 7*g, -2*g = 4*z - 215234. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w - 80. Let b(c) be the second derivative of -c**3\/3 - c**2\/2 + 87*c. Let a(r) = -2*b(r) - x(r). Differentiate a(f) wrt f.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, -65, -0.6, -5, 0.08 in decreasing order.\nAnswer: 0.3, 0.08, -0.6, -3, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnlke. What is prob of sequence ndle?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -14) + -7 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -7. Let k be 0\/(2 + i + -2). Factor 1\/3*l**4 + 0 - 1\/3*l**2 + k*l**3 + 0*l.\nAnswer: l**2*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4290, -4278, -4254, -4212, -4146?\n\"Answer: h**3 + 5*h - 4296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6479992 is divided by 344.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*s + 4, -8*s + 4*s = 5*u - 18. Let n(z) = -9*z - 3*z**2 - 3*z**s - z**3 + 5*z + 2. Give n(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-2 - -5 - 25). Let f = i - 3. Suppose 3*h - f = 2*d, 2*d + 9 = h - 2. Sort -1, 0, d in ascending order.\nAnswer: d, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 397*g - 15. What is the hundreds digit of h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 860300 and 4000?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1299523000 rounded to the nearest 1000000?\nAnswer: -1300000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2\/15, -0.049525, -5, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160295499?\nAnswer: 3, 7, 13, 17, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-8)*(-12)\/3. Let o(j) be the third derivative of -j**3\/6 + j**2 - 23. Let f(b) = 2*b + 5. What is s*o(m) - f(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o - 6*o + 6*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -u + 4*z - z, 3*u + 5*z = -73. Let h be 7\/u*(-18)\/3. Solve -2*j - y - 15 = h*j, 5*j + 17 = -3*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6953 - 3136. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224484942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 38*g**2 + 5. Let k be t(38). Solve 3 = k*d + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 27*q**5 - 1461*q**4 + 6937*q**3 - 8583*q**2 + 380*q + 588 = 0.\nAnswer: -2\/9, 1\/3, 2, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 (base 10) in base 11?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381312 is divided by 38129?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 12306 + 2070. Suppose 0 = 3*o - s - 18155. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - -351. Suppose 2*r - 2*b - 706 = 0, 0*r - r = -5*b - i. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00282984 to 4 decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 9 = 5*m, -m - 15 = -69*a + 74*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2158, 2159, 2160, 2161, 2162, 2163?\nAnswer: 2164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*c = 1371, a - 683 = 4*c + 706. Let q = 2766 - a. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -1\/35*x**7 - 19\/20*x**5 - x**2 + 0*x**3 - 1\/40*x**6 + 0*x + 20 - 1\/12*x**4. What is the third derivative of h(o) wrt o?\nAnswer: -144*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1 - 5 = 3*d, c + 1 = 0. Let u be d*(-2)\/6 + 1. Find the first derivative of u*j + 4*j - 5*j - 1 wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/721, -0.08, 0, 1?\nAnswer: 6\/721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + -1 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 58. Suppose -336 = -120*j + 78*j. Solve -x - 4*r = j, r + 2 = -5*x - n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2311419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13\/10 - 19\/30. Let o = 2\/519 - -1553\/1038. Which is the closest to -2\/3? (a) q (b) o (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/3525 and 77\/6871400?\nAnswer: 20614200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2199.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {o: 2, x: 3, a: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 h, and 1 j when four letters picked without replacement from hhhjjwwzziizz?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18479*d**3 - 35885*d**2?\nAnswer: -110874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9110, -11512, -15508, -21092, -28258, -37000, -47312, -59188?\n\"Answer: h**3 - 803*h**2 - 8308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.430091 meters to millimeters.\nAnswer: 6430.091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-24)\/108 + (-1712)\/(-9) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 423.6274 to the nearest 10.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -9*h**2 - 5*h + 17. Let a(m) = 5*m**2 + 3*m - 9. Let w(f) = -5*a(f) - 3*q(f). What is the derivative of w(g) wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 11643.49.\nAnswer: 11638.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 4*t**2 - 2*t**2)*(-3*t + t + 5*t - 2*t + 0*t + 3*t + (-4*t + 3*t + 2*t)*(4 + 3 - 6) - 4*t + 3*t + 3*t + 4 - 4 + 3*t).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -199 + 200 + 5*n - 304 - 173 in the form x*n + i and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -340595995 >= -340595997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 825470758 a multiple of 1457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.8782 - -0.0918. Let f = -0.03 - z. Let d = f - -6.00000069. Round d to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from gesnsststnsge.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1727847.22 - 155.1\nAnswer: -1728002.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 16 + 64 = 0. Suppose -4*f - 4*p = c, 29 + 16 = -5*f - 4*p. Sort 16, f, 4, 5 in increasing order.\nAnswer: f, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6902460*j. Let o(y) = -5*y**2. Give g(o(f)).\nAnswer: -34512300*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 7 + 29. Calculate the lowest common multiple of b and (30\/21)\/(91\/(-98) + 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37223057089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - -0.3. Put 1\/4, r, 5 in decreasing order.\nAnswer: 5, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -6.8. Let h = -1.5 + r. Let t = h + 0.7. What is t rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 10) in base 8?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 - -154. Let k be 0 - -2 - 1\/(-1). Suppose l + k*l - w = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -687769657.81.\nAnswer: 687769657.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14620 or 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -680*x - 6770 - 16573 = -3623 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/8)\/((-84)\/16). What is the third biggest value in 5, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3596924676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*t - 14574, 37*h - 4*t - 18210 = 32*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 36. What is the units digit of v*(-305)\/5 + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15169 - 15041. Solve -127*h = -i*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*d - 14, 4*w + 3*d + 14 + 8 = 0. Suppose -o = -2 - 1. Suppose o*v = 5*v - 6. Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(24) - (sqrt(17) + 0)*2)*-6.\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 8*x**2 + 9*x. Let m be q(-7). Let n = 16 + m. Solve -4*y + 2 + n = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4883685.\nAnswer: 3, 5, 53, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g. Suppose 0 = -15*t - g*t - 375. Let x = 3 - t. What is the least common multiple of 40 and x?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -48. Let d be (-904)\/(-14) + m\/70. Let h be 1 - (2 - 2 - d). Calculate the greatest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5844, -5433, -5022?\n\"Answer: 411*i - 6255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(1700) + -1)*4).\nAnswer: -2 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4109*l + 14 = 4102*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n + 1040 = 55*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23604 divided by 23604?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 7*o + 1. Let g be a(5). Suppose -3*s = -g + 5. Let v(p) = -p**2 + p + 1. Let i be v(-2). Put i, s, -1 in increasing order.\nAnswer: i, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.075, -695, -4.\nAnswer: -695, -4, 0.075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6517469*o**2 - 66503*o + 2 wrt o.\nAnswer: 13034938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5755, -22939, -51613, -91777?\nAnswer: -143431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = -10. Solve -y*o = -o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1144 + -1864456.7.\nAnswer: -1865600.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 3. Let u be o(-6). Suppose 417*j = -1524 - 1395. Let n(m) = 11*m + 13. Let q(s) = -5*s - 6. Determine j*q(d) + u*n(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3131 + 7*v**2 - 7*v**2 + v**2 + 2*v.\nAnswer: v**2 + 2*v - 3131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 311994246 - 0.\nAnswer: 311994246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + (0 - (-4)\/2). Let u(o) = 5*o**2 - 2*o - 4. Let c(w) = 2*w**2 - w - 2. Let i(m) = r*u(m) + 9*c(m). Let j = 3 - 5. What is i(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -659789*2.\nAnswer: -1319578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 592.4266ng?\nAnswer: 0.0005924266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/1753735 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -5. Suppose -2*g - 10 = i*z, -17 = -5*g - 5*z + 3*z. Suppose -5*q - 13 = 12, -g = 2*k + 3*q. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*n - 2 - 13, -2*j = 0. Suppose 0*t - 3*m = t - 13267, 5*t - n*m = 66335. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k - 3*k - 10*k + 2*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/15 - 2\/(-5). Suppose -3*i + 60 = -39. Find the common denominator of x\/16*558\/(-3) and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z\/((z\/(z\/z**(1\/3)))\/z)*z)\/z)\/z)**(-42)*z**19\/((z*z\/((z*z**(-8)\/z)\/z)*z*z)\/z*z*z*z) assuming z is positive.\nAnswer: z**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2907.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -4, 69.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -2177?\nAnswer: -2170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17815 or 17821?\nAnswer: 17821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 3*s - 5 + 32, -h - 19 = -3*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1375) - sqrt(5500)*4)\/(3*1*sqrt(275) + ((sqrt(275) - 2*sqrt(275)) + sqrt(275))*-3).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25200525 divided by 219135.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-1 + 1 - 4)*(5*x - x - x).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 872544 + 2456. Let j be (b\/21)\/(0 + 3\/72). What is j rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 i when four letters picked without replacement from {i: 3, b: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffayfabf. Give prob of picking 2 a, 1 y, and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21940 >= 21914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 191451 * 2\nAnswer: 382902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -17*s + 2014. Let o = 1549 - s. List the prime factors of o.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19\/11 (b) 0.6 (c) 21 (d) 1 (e) -0.03 (f) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-5))\/(-4)*25\/(-5). Let g(r) = 2*r. Let p(w) = 3*w + 1. Determine y*p(q) + 5*g(q).\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5510920?\nAnswer: 2, 5, 311, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -10*h**3\/3 - 98683. Let s(t) = -9*t**2 + 5*t + 5. Let v(r) = -4*r**2 + 3*r + 3. Let m(a) = 3*s(a) - 5*v(a). Give m(y(n)).\nAnswer: -700*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 11*t = 33. Let d(i) = -3*i**3 + 4*i + 4. Let k(u) = -8*u**3 + 11*u + 11. Determine t*d(x) + 4*k(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 418463 (base 9) to base 14\nAnswer: 66a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9306084463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b - 4. Let o = -17 - -20. Suppose 17 = -2*i + 101. Calculate the remainder when i is divided by p(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide (1185\/(-2))\/((-162)\/8748)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8+-136\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061051.\nAnswer: 491, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133788571.\nAnswer: 7, 29, 94151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 4:01 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -3968.8, -2 in descending order.\nAnswer: 19, -2, -3968.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52168 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 13) to base 11.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -132*g**2 - 44*g + 22. Let b(f) = 19*f**2 + 6*f - 3. Let l(z) = -22*b(z) - 3*i(z). Let c(a) = 3*a**2. Give l(c(t)).\nAnswer: -198*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u**5 - 4*u**4 + 12*u**2 + 12*u. Let d(h) = h**5 + h**2 + h. Let c(z) = 12*d(z) - v(z). Determine b, given that c(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -22. Let y = 7 - 3. Let l = s + y. Solve l + 0 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8914?\nAnswer: 2, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 339402648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 9*n = -68 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 13*s**2 + 13*s + 14. Determine x(-14).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 208 = 2*t. Let c be t\/140 + 2\/10. Let l be 54\/(-90)*2\/3. What is the third biggest value in c, -3\/4, l?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1923.4 rounded to the nearest 10?\nAnswer: -1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/27)\/((-1)\/3). Let u be -3*2\/(-33 + -3). Which is the closest to -1\/5? (a) d (b) -2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*4\/8*-4. Suppose i*r - 1 = h - 2*r, -3*r = 4*h - 15. Factor -3\/7*c**h - 24\/7 - 18\/7*c**2 - 36\/7*c.\nAnswer: -3*(c + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.80257 micrometers to nanometers.\nAnswer: 37802.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1916 - -2995. Let x = 2043 - u. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 + 174 = 105*o - 79. Solve -1 = 3*h - 8*p + 4*p, o*h + 1 = 5*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/12)\/((-2)\/30). Let r(i) = -i - 3. Let p be r(-5). Let m(u) = 6*u + 2 - 3*u**p - 4 + 2*u**2. Give m(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*b - 10, 3*c + 7 = -b - 3. Let g(d) = -d - d - b - 1 - 7. Calculate g(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**3\/3 + c**2\/2 - c. Let y be o(1). Let h = y - -7. Calculate the remainder when 17 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.1. Let f(m) = 1428*m + 3. Let u be f(0). Which is the smallest value? (a) q (b) u (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4674591 is divided by 3215.\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 13. Give s(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q = -7218 + 26013. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*y + 1598 = 410 - 2240 + 828 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -175 - -176. Is 507 - -13 - (3 - (m - 1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107\/52 + 30\/13. Let p(z) be the second derivative of -1\/2*z**3 + 0*z**2 - w*z**4 + 2*z + 0. What is the second derivative of p(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -435682*l*z**5 + 40*l*z**3 - 2*l*z**2 - l*z + 4*l - 128*z**2 - 40*z + 1 wrt z?\nAnswer: -26140920*l*z**2 + 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-158 - 117*k + 315 - 158)*(-k**3 + 3*k**2 - 3*k**2) to b*k**4 + q*k**3 + c*k**2 + h*k + p and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43d (base 16) to base 11.\nAnswer: -8a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiiiieieie. Give prob of sequence iiei.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4594.\nAnswer: 2, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1279184 divided by 124.\nAnswer: -10316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 61, -20, 11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 11*q + 11. Suppose -s = -5*s + 20. Suppose -s*t - 58 = -2*z - 7, -5*z = 10. What are the prime factors of w(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -191, -0.05, -2.115?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 13, 16, -1525, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 26 = -5*l, 0 = 3*b - 7 - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*d + 19, 5*d - d - t - 23 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 472077935*z**4 + 406654551 wrt z?\nAnswer: 1888311740*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 - 0.03. Let y = z + 0.17. Let o be 2\/8 + 0\/1. Which is the third smallest value? (a) -1\/4 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*n**4 + 5 - 5 - 3 - 2 + 96*n**2 in the form a*n + j + x*n**4 + k*n**3 + r*n**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-3 + -3 + 5 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*k - 2*l, 4*l = 3*l - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 2, v: 1}. Give prob of picking 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 7*u - 23. Let y(q) = -5*q**2 - 21*q + 68. Let t(a) = 3*y(a) + 8*z(a). Let j be t(6). Suppose -x + 31 + j = 0. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*z**3 - 5*z**2 + 101*z**3 + 34*z**3 - 181*z**3 + 27*z**3 + z**2.\nAnswer: 15*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 7:18 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 312\/11*o**2 - 158\/11*o**4 + 0*o + 152\/11*o**3 + 2\/11*o**5 + 0 = 0.\nAnswer: -1, 0, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 10. Is 1 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/(-21))\/(-13)*2\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -22*s - 107. Let b be y(-5). Let t be 6 + b*(5 - 6). Solve 0 = -3*k - t - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177124 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 129 + 429. Let f(v) = -v**2 - 33*v - 247. Let t be f(-12). List the prime factors of ((t\/2)\/5)\/((-3)\/h).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 41144?\nAnswer: -41144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**5 - 7341*m**4 + 1657809*m**3 - 22134315*m**2 + 76218324*m = 0.\nAnswer: 0, 7, 236, 2197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 681 (b) 2\/15 (c) -27 (d) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.4 + 0.4. Let x = -1100 + 1094. Sort -0.2, -2, f, x.\nAnswer: x, f, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2719, 5437, 8157, 10879, 13603?\nAnswer: 16329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 168*x - 3 + 2 + 2 - 186*x - 2. Let f(l) be the second derivative of -l**3\/2 - 13*l. Determine f(m(k)).\nAnswer: 54*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72405 by 593.\nAnswer: 72405\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**2*(f\/f**(1\/4))\/f)\/(f**(1\/4)*f)**(-2) assuming f is positive.\nAnswer: f**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4885*p + 4841*p - 3 + 2 + 0 + 0 + 2*p - p + 0 + 0 + p - 1 + 1 + (3*p - p + 0*p)*(4 - 6 + 3) to s + m*p and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 15.96. Let r = i + 3.96. What is the second biggest value in 5\/2, r, 0?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 85, 54, 11?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4060238)\/(-455) + (0 - 3\/5). Suppose 28*c - 29*c = -h. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:52 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -888268 > -15100575\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2842 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*s, s = -3*c + 2*c + 8. Suppose 5 = -3*b + 5*k + 72, 4*k + 65 = 3*b. What is the remainder when b is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*p - n = 98*p + 11, 4*n - 4 = 4*p. Suppose 0 = -r + 143 + 425. Suppose u - 110 = p*t, 5*u + 4*t - 6*t - r = 0. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 35*m. Let h(z) = -10751 + 10751 - z. What is h(p(w))?\nAnswer: -35*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 2. Suppose l + 3*l + 20 = 0. Calculate the lowest common multiple of q(l) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v**2 + 14*v**2 - 6*v**2 + 6*v + 4 = 0 for v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 7:20 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -77, -18, 95, 280, 555, 938, 1447?\nAnswer: 2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 5. Let d be j(5). Suppose 0*y + 5*r - 60 = -4*y, d = -5*y - 2*r + 75. Suppose v = y - 1. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1813*h**2 - 457*h.\nAnswer: 3626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 168.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 7. What are the prime factors of b(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 6 = 22. Suppose f*v + 12 - 32 = 0. Let o be (-1)\/v + 52\/10. Solve o*t + 2*s + 0 + 15 = 0, 2*t - s = 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-53)\/(-7) + 52\/(-91). Let p be (-11 - -1)\/(m\/3710). Round p to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 10:01 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u + 106. Determine l(-15).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/186943000 or 1?\nAnswer: 1\/186943000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2353544342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqj when three letters picked without replacement from waqqejet?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:51 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 - -122. Solve -3*g - v*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 7*i - 12. Let w be l(-3). Suppose -3*k - 36 - 15 = w. Which is the closest to 2? (a) -0.5 (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*i - 40*i + 89*i - 17)*(3 + 1 + 6)*(-1 + 1 + 1)*(2 - 4 + 0)*(-2*i - 4*i + 3*i).\nAnswer: 240*i**2 - 1020*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 369.4926ml in litres?\nAnswer: 0.3694926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/330 and 163\/27654.\nAnswer: 138270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574090410 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50.4 + -50.36. Let y = -7 - -7.4. What is the smallest value in 0.2, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + 3 + -12 + 9 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3219)\/74)\/(3 - 0)*(-20 + 2) is divided by 49.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5292 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -55, -168, -377, -712, -1203, -1880, -2773?\n\"Answer: -5*u**3 - 3*u**2 - 3*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -408, -410, -412, -414?\n\"Answer: -2*o - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.8546 nanometers in millimeters?\nAnswer: 0.0003758546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -71. Suppose -9075 = 2*n - 7*n. Let r be n\/(-450) - -4*k. Is -1 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31\/108 + -1\/27. Which is smaller: 0.3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -80*h**2 + 9*h - 4. Let l(q) = 84*q**2 - 8*q + 6. Determine 2*l(m) + 3*v(m).\nAnswer: -72*m**2 + 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0636, -2, 0.3?\nAnswer: 0.0636","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 24 = -4*n, 5*n - 5*m = -13 + 8. Find the third derivative of -21*u**2 - u**n - 13*u**2 - 1 + 4 + 12*u**3 wrt u.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81640*n**4 - 2*n**3 + 14*n**2 + 12636*n + 74 wrt n.\nAnswer: -979680*n**2 - 12*n + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-1))\/(1 + -2). Suppose 0 = c + v*p - 10, -6*p + 4 = -2*p. Let n(k) = 2*k**2 - 8*k + 5. Is n(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 3*x - 0*x - 8, -f = 5*x - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 169390*k - 1. Let x(y) = -y - 61. Determine x(u(r)).\nAnswer: -169390*r - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/6 + m**3\/3 - 3*m**2\/2 + m. Suppose 2*k = -2*k + 52. What is the remainder when c(4) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.136010172 + -6.136. Round c to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 329 = -3*n, -7*s - 133 = n - 3*s. Let u be 0\/(1\/1) + 172. Let d = u + n. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:21 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84731452.\nAnswer: 2, 13, 1629451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 990.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**0*n)\/n)**15*(n**0)**44)**45 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 2*l + 1. Let f(w) = 72*w + 404. Let r(c) = -f(c) + 4*h(c). Factor r(i).\nAnswer: -4*(i + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + -15 + -25 - 66?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0 (c) 3 (d) 268\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 458\/461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:29 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 + 3*l**2 - 2*l - 4. Let q be i(-2). Let f be -9*(q\/6 - 0). What is the tens digit of -2 + f - -7 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1681\/16 - 39943\/112. Let y = 252 + h. What is the nearest to -0.05 in y, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34841306*y + 11375239.\nAnswer: 34841306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 64790 = h - 14*h. Calculate the greatest common factor of h and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.48 - -3.98. Let u(t) = t + 1. Let q be u(-2). Which is the nearest to 1? (a) 4 (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 3. Let c(y) = -132*y - 66. Let l(v) = -2*c(v) + 44*w(v). Let n(z) = 2*z**2. Determine n(l(h)).\nAnswer: 96800*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-one halves of a decade?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 98 = -4*n, -3*l + 40 = -4*n - 137. List the prime factors of l.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/56*-2 + ((-1015442)\/(-10934) - 3\/(-11))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2090\nAnswer: -1\/1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/35 - 5\/25*31\/7.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3749613338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**6\/40 - 2*f**5\/5 + 2*f**4 + 15*f**2. Factor v(p).\nAnswer: 3*p*(p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11e8 - -a?\nAnswer: 11f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.13 (b) -121 (c) 20 (d) 0 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let u(s) = -s**2 - 286*s + 24. Give u(h(m)).\nAnswer: -m**2 - 286*m + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*m**2 + 58117*m - 58117*m.\nAnswer: 92*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31941601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.451 - -7.4. Let s = 0.049 - p. What is the third smallest value in s, 0.4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010011111011111001111 (base 2) to base 9\nAnswer: 5151766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a = -123*a - 82*a - 7667 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74)\/(-11))\/(2076\/(-11418)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.299 + -4.499. Which is the closest to 0? (a) -4 (b) h (c) 125\/2 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -5*a + 4*v + 135, -9 = -3*v. What is the remainder when 129 is divided by a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -34 - 11) + 3 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s = 54*s + 190 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 50, 67, 102, 161, 250, 375, 542?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1204 = -127*r - 45*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**2 - 3*p. Let z(r) = -14*r**2 - 10*r. Let q(g) = 8*a(g) - 3*z(g). Find the second derivative of q(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01065759374 to 5 dps.\nAnswer: 0.01066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/2409 and -76\/8649.\nAnswer: 6945147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -47795\/8013?\nAnswer: -47795\/8013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -2\/5 (b) 0.3 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 16. Let i be p(-5). Let q be ((-15)\/i)\/(1\/(-2)). Let o = q - -10. Solve -6 = -3*j + o*v, 2*j = -4*v + 6 - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 3*k + 5*k)*(2 + 2 - 5)*(384 - 2389 + 5139)*(-2*k + 0*k + 0*k).\nAnswer: 6268*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5759 is divided by 103?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -1, 0.2, -0.4, 8, 11\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 5*m + 32, -205 = -b + 10*m - 162 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w**2 + 16*w - 8. Let j(t) = -14*t**2 + 33*t - 15. Determine 3*j(b) - 5*k(b).\nAnswer: -2*b**2 + 19*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -v + 2, 2*c = -16*v + 11*v + 31. Suppose -5*s + 5*h = 2*h - 17731, -17717 = -v*s - 4*h. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -280 + 3082\/11. Put 5, -5, 2\/5, j in increasing order.\nAnswer: -5, j, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/3555 and -89\/19320714?\nAnswer: 96603570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20738 + 87118. List the prime factors of p.\nAnswer: 2, 5, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*f + 9*f - 43*f in the form h*f + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -150*n*o**3 + 5*n*q**2 - 2*o**3*q**2 - q**2 wrt q?\nAnswer: 10*n*q - 4*o**3*q - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 3*x + 0*x)*(5*x + 27 + 25 + 46 - 78).\nAnswer: 15*x**2 + 60*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/15 (b) -14 (c) -2211 (d) -1\/6 (e) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**3\/4 + 439233*k**2\/4 + 3294585*k\/2 = 0.\nAnswer: -15, 0, 146426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1544*o**2*r**3 + 2*o**2*r - 37*o*r**4 - 2420*r wrt r?\nAnswer: 9264*o**2*r - 444*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from krd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459 and 816.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = 4*j + 5*n, -4*j - 18 = -3*n. Is (j + 3 + 921)*(-10)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 377*l**2 - 956*l + 222. Determine d(191).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from xaaaaaaaaaaaaaa?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:02 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 bigger than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(110)\/(-3*sqrt(490)).\nAnswer: sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*i - x, 61*x - 21 - 4 = 129*x - 63*x for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 19*d + 39. What is k(5)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -64205244 (base 7) in base 3?\nAnswer: -101020202022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -40209 + 40209 - 19*t**4. Let d(u) = -u**4 + u**2. Let n = -1 + -2. Let y(m) = n*d(m) + w(m). Find the third derivative of y(j) wrt j.\nAnswer: -384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 177 + 43)*(2*o - 4*o - o)*(-o**2 + o**2 - 4*o**2) as d*o + u*o**3 + k + b*o**2 and give u.\nAnswer: 2772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 4*m**2 - 5*m - 16. Let k = 110 + -113. Let p(u) = u**3 + 19*u**2 + 17*u - 15. What is the remainder when a(k) is divided by p(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*i = -0*p + 36, -4*i - 27 = -p. Factor 11*x**4 + 12*x**2 - 7*x**3 - 9*x**3 - p*x**4.\nAnswer: 4*x**2*(x - 3)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**4\/8 + 67*d**2. Suppose 5*z = -0*z - 5. Give k(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -491028, -490992, -490936, -490866, -490788, -490708, -490632?\nAnswer: -490566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 - 9) - (142 - 160).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -840 - -10079\/12. Which is the closest to -1? (a) l (b) 0.3 (c) -0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*l**6 - l**6 - l**2 + 12*l**2 wrt l.\nAnswer: -720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837640?\nAnswer: 2, 5, 43, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 27 = 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z - 3*a - 154985, -2*a + 10 = 0. Round z to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5458 bigger than 5458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6)\/((-6)\/45). Suppose 5*s - 15 - d = 0. Let o = -4 + 13. What is the remainder when o is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Let 4*s**2 + 2*s**q - 2*s**2 + 8*s**2 - 4*s**2 = 0. Calculate s.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -11*l**2 - 4. Let q(i) = i**2 - 69*i + 722. Let c be q(56). Let m(u) = -12*u**2 - 5. Calculate c*w(h) + 5*m(h).\nAnswer: 6*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 55*p**4\/24 + 35*p**3\/3 + p**2. Let x(v) = 18*v + 23. Let u(j) = 6*i(j) - 17*x(j). Differentiate u(h) wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2712701*r**5*s + r**5 + 24602309*r**2*s wrt r.\nAnswer: 162762060*r**2*s + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/3 and -73\/1777464.\nAnswer: 1777464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24586*u**3 - u - 3*u + 6*u - 24593*u**3 + 3*u.\nAnswer: -7*u**3 + 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 c when four letters picked without replacement from wwywcwycyccycwwww?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2222 - 2631.1. Let o = -409 - v. Is o less than or equal to 0.023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8987 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 19*l + 43570 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21121111011001 (base 3) in base 14?\nAnswer: 773da1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = -b. Let w be 72\/28 - (-6)\/14. Suppose b*y + w*l - 7 = 0, -4*y + l + 2*l - 16 = 0. Is y less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112bd1 (base 15) to base 7\nAnswer: 6651661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1026562 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 + -1039 + 104 + -10?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/8, 0.5, 21, -23, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1792 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*x + 4, 2*x + 2*x + 12 = 0. Let u(v) = -v**3 + 5*v**2 - v + 5. Let j be u(a). Solve j*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 4*b + 1. Let o be p(6). Let n = o - -3. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*n**3 + n**4 - 3*n - 10*n**3 - 2*n**3 + 31*n**3 + 45*n**3 to v*n**2 + m*n + c*n**4 + s*n**3 + h and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2902584, 2902589, 2902596, 2902605, 2902616?\nAnswer: 2902629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d + 1. Let t be k(-1). Let x(m) = m**2 - 5*m + 5. Let z be x(t). Suppose -3*g = -5*a + 4, -g - 3 + 0 = 0. Put z, a, -2 in increasing order.\nAnswer: -2, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((153 - 9)\/(-6) - -29)*(2\/7 - -1)\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12525.602 + -12511. What is r rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251779.\nAnswer: 11, 47, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -48, -100, -166, -252, -364, -508?\n\"Answer: -i**3 - i**2 - 42*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -253*a**2 - 20*a + 23. Let v(c) = 85*c**2 + 7*c - 8. Determine 17*v(o) + 6*z(o).\nAnswer: -73*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(2*l**2 - 5*l**2 + l**2) + 4*l**2 + 2*l**2 + l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 12 + 94 - 50.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -469406 or -2?\nAnswer: -469406","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -133 + 136 = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -611 + 560 + (4 - -19).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-148)\/(-28) - 0) + 6\/(-21). What is the fourth biggest value in -3\/8, 3\/8, -6, z?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.599999993 + -13.6. Round p to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r = 186. Let u = 167 - r. Suppose 0 = 265*a - 166*a - 2079. What is the highest common factor of a and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 2\/9, -2, -373, 2\/5 in descending order.\nAnswer: 2\/5, 2\/9, 2\/19, -2, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1505 + 1505 - 384*a to the form u*a + d and give u.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3114 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.851733 days in hours?\nAnswer: 116.441592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3)\/j)\/j)**(-2\/13)\/(j**(-5\/6)\/(j\/(j**7\/j)*j))*(j**2)**(1\/2)\/(j**0)**35 assuming j is positive.\nAnswer: j**(-137\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l + 3. What is s(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r**2 + 0*r)*(r**2 + r**2 - 4*r**2) + r**4 - r**4 + r**4 + 0*r**4 + 0*r**4 + 2*r**4.\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/34, 1, 4, -475.5 in descending order.\nAnswer: 4, 1, 3\/34, -475.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4242.53 and -6?\nAnswer: 25455.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-3) + 2\/(-3). Let l = -294798\/25 + 11792. Put x, 2, l in descending order.\nAnswer: 2, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-24)*(144\/(-15))\/(-4)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001518818 to seven decimal places.\nAnswer: 0.0001519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2850 - -2913. Let s(c) = -525*c**2 - 63. Let n(w) = 42*w**2 + 5. Calculate q*n(d) + 5*s(d).\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 3*s + 26 + 3*s**3 - 5.\nAnswer: 3*s**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*v - 184*v + 546 = -3*s, 0 = 4*s - 5*v + 759. Let f(n) = 12*n**2 - 5*n + 6. Let l be f(-5). Let d = s + l. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -8e?\nAnswer: 8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 4*c**2 - c - 1. Give p(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 7 - (-1 + 0 + -11 - -5)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4804.51 * -44.\nAnswer: 211398.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + -0.32. Suppose -6*s + 3*s + 585 = 0. Let h = 590\/3 - s. Which is the nearest to -1\/4? (a) t (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 4\/7, 1\/9, 36, -3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*y**4 - 33*y**4 + 18*y**4 + (-11*y**3 + 6*y**2 - 6*y**2)*(y + 4*y - 4*y) + (y**3 + 0*y**3 + 0*y**3)*(-y + 5*y - 2*y).\nAnswer: -33*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95\/285)\/(3\/54).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13502\/15 - 899. Let l = -3677\/3 + 1220. Calculate the common denominator of l and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*k*v - 2*h**2*k - 26*h**2*v - 60*h*k*v - 2*h*v + 2*v wrt h?\nAnswer: 2*k*v - 4*k - 52*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*r. Let f be ((-17)\/(-3))\/((-1)\/(-3)). Suppose 2*x + 4*c - 6 = r, -8 - f = x - 5*c. Let j(a) = -a**3 - 6*a**2 - 3*a + 6. Give j(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69342347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 7*n**2 + 5*n + 16. What is f(-8)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 643304537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -524, -430, -334, -236, -136, -34, 70?\n\"Answer: h**2 + 91*h - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 3*v - 2*c, 5*v + 64 = -0*v + 3*c. Let w = v + 12. Calculate the remainder when w is divided by 14\/12 + -6 + 140\/24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 17 + 2*x**4 + (2 - 2 + 2*x**2)*(-2 + 3*x**2 - 3*x**2 + 4*x**2) to the form y*x**4 + v + w*x + l*x**3 + o*x**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gaglxwkwa. Give prob of picking 1 x, 1 g, and 1 l.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4 = 3*x, 4 = 5*x - 8*r + 4*r. Suppose 7*s - 10*s = x. Determine h, given that 2\/5*h**5 - 4\/5*h**4 + 0*h - 2\/5*h**3 + 4\/5*h**2 + s = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 16 = 2*p. Calculate the smallest common multiple of 11 and p.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 + 3*s - 1. Let k be t(-2). What is the units digit of (8 - (k + -4)) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/20)*x**(-2\/19)*x assuming x is positive.\nAnswer: x**(321\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7819 is divided by 468.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100102112121 - 0?\nAnswer: 100102112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 660, 2644, 5974, 10668, 16744, 24220, 33114, 43444?\nAnswer: 55228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 u when four letters picked without replacement from rurhuurrhhrhhquruu?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 23913.\nAnswer: 23916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1272\/1378)\/((-9)\/(-78))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - c - 368 + 153 = 0, -2*p - 5*c + 149 = 0. What is the lowest common multiple of p and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7896 and 7245144.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 6 = 14*u. Let m be 110\/11*(-3)\/u. Solve -5*d + 5 = -m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g)**(-32))**(-4)*g**6*g\/(g*g*g\/g**2)*g*(g*g*g\/(g\/(g\/((g**(-1)*g)\/g)))*g)**49 assuming g is positive.\nAnswer: g**508","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 7. Let v = -0.034706 - 0.965294. What is the closest to n in -2\/3, v, 1, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + 8. Let c(n) = -m*n**2 + 39 - 16*n + 0*n + 42*n**2. List the prime factors of c(20).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a - 51*a + 30*a = 1008 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:31 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 6*x - 187. Calculate j(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8827 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22346660 and 2660?\nAnswer: 22346660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*k = -1442, 5*y + 3*k = y - 1437. Round y to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 840160 and 169990.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r + 6. Suppose 334 - 174 = 8*k. What is the remainder when r\/5 + 387\/5 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = t - 4, -5*t = 2*z - 39959 + 39947 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**4 - 4270 + p**4 + 4259 - 2*p**2 in the form c + i*p**4 + x*p**3 + v*p**2 + k*p and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 2*m + 10, -25955*u + 25954*u - 5 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 14 - (-31 + -1 + 1 + 2)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.84 + 6.9. Let q = 20 + -20. Let w = q - j. What is the nearest to 2 in 3, w, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6\/5 (b) -1\/3 (c) 0.3 (d) 4.4877\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.25274006 + 3.17273. Let d = u + 2.08. What is d rounded to 7 decimal places?\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2209?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -104 + 70 + -26 - (5 + -13 + 4)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 9*c - 20. Suppose 72*f + 21 = 79*f. Let u be x(f). Let p(k) = k**2 - 3*k - 7. Let o be p(u). Solve o*z - 4 = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -93, 35, 1\/6, -1\/8, -7\/4, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Simplify 2*(4*((sqrt(567) + -6*sqrt(567)*1 - -4*sqrt(567)*2) + 2))**2.\nAnswer: 3456*sqrt(7) + 163424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4183*q - 16675. Determine b(4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 5. Let w be i(-8). Let s be 147\/70 - (-1 + w). Sort 3\/7, -1, s, -4\/5.\nAnswer: -1, -4\/5, s, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*d*f**2 - 2*d*f - 12*d + 2*f**2 - 1 wrt f.\nAnswer: -10*d*f - 2*d + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34390 is divided by 719?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8 - 730\/(-20)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/80 and -57\/140.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) 17\/12 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 50?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -132*x**2 + 735*x + 2128. Give n(-3).\nAnswer: -1265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 - 18 = 0. Let m = 1076.9 - 1077. Which is the third biggest value? (a) u (b) m (c) 0.8 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 497219\nAnswer: 66\/497219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 4*k. Let a(l) = -l**2 - 3*l. Let h(t) = 4*a(t) + 3*n(t). Let z(s) = 5*s - 13. What is h(z(m))?\nAnswer: -25*m**2 + 130*m - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, -1, 3, 1566, -7, 1, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -17*m**6\/30 + 11*m**3\/6 + 3*m + 11. Let d(q) be the first derivative of g(q). Find the second derivative of d(c) wrt c.\nAnswer: -204*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Let x(r) = 7 + 0*r - 2*r + 19 + l*r. Does 13 divide x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*g - 5*c, 8*g - 3*g - 5*c = 30. Let q be (-21)\/(-2)*(-14)\/147*-6. Let k be (-15)\/q*(-2)\/(-1). Put g, k, -4 in descending order.\nAnswer: g, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3153660384 to the nearest one hundred thousand.\nAnswer: 3153700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2575, 5034, 7375, 9598, 11703, 13690?\n\"Answer: -59*n**2 + 2636*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -274666, -549054, -823454, -1097872, -1372314, -1646786?\n\"Answer: -j**3 - 274381*j - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 881323?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*j = -748, -j + 177 = -5*u + 6*u. What is the remainder when u + 0 + (21 - 19) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11544, 29763, 47980, 66195, 84408?\nAnswer: 102619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 561*c - 242*c - 691*c - 903*c - c**3 in the form d*c**3 + g*c**2 + u*c + r and give u.\nAnswer: -1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3*f - 4 + 9.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:32 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -1311 = -2623\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -96? (a) 0.04 (b) 10\/21 (c) -0.1 (d) -0.06 (e) 1.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879673?\nAnswer: 879673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727020.\nAnswer: 2, 3, 5, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*c + 7. Let j(h) = 2*h - 3. Let d(i) = 9*i - 16. Let z(s) = 2*d(s) - 11*j(s). What are the prime factors of z(c)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 13 = 4*o. Let k = 88 + o. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.659mm in centimeters?\nAnswer: 27.3659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/2 - 107*d**4\/2 - 1561*d**3\/2 + 3667*d**2\/2 + 781*d - 1780 = 0 for d.\nAnswer: -89, -20, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590*p = 576*p + 346780. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.18 (b) -2 (c) 3\/11 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 57 = 8*c. Let w(o) = -o**3 - 5*o**2 + 7*o - 4. Determine w(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1221515*h**5 + 19*h**3 - 12734760*h.\nAnswer: 24430300*h**3 + 114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 divided by 2?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:26 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5366513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 90*s - 1. Let r(n) be the third derivative of 11*n**4\/24 + 19*n**2 - 52*n. Calculate r(v(d)).\nAnswer: 990*d - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -m + 5*h, -5*m - 3056 = 4*h - 1517 - 1486 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55199351693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 59463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*n - 17, -5*q + 14 = -4*n + 3. Let j be 3*(650\/15)\/q. Let i = 132 + j. Solve 0*a + i*a + 10 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 11*a**2 - 11*a + 6. Let w be u(10). Let j be 2 - w\/6*-3. Are 0 and j non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 5504 - 14614 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 11:59 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 31. Suppose 237 = -o*l + 1005. What is the greatest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)\/(y\/(y\/(y**(2\/23)*y))))\/(y\/(((((y\/(y\/y**12*y)*y)\/y)\/y*y)\/y)\/y)*y\/(y**1*y)) assuming y is positive.\nAnswer: y**(21\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 1396*f - 1390*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 - 8*o**2 - 6*o - 11. Does 46 divide m(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d\/(d**5*d))\/((d\/(d**(1\/9)\/d))\/d**5) assuming d is positive.\nAnswer: d**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82 by 963.\nAnswer: 82\/963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38838?\nAnswer: 2, 3, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v, 3*k + v - 61 + 40 = 0. Let h be (3\/6)\/((-2)\/(-220)). What is the lowest common multiple of k and (-2)\/3 + h\/15?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*2\/(-16)*(21*-3)\/((-621)\/966).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 368737.6.\nAnswer: 4424851.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -72452299, -144904597, -217356893, -289809187?\n\"Answer: k**2 - 72452301*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r*(r**(-7\/3)\/r)\/r)\/r))*r*r\/r**18)\/(r**(-1\/10))**42)**(-37) assuming r is positive.\nAnswer: r**(8954\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 14 = -4*v. Suppose 3*x - v = -32. Let i = x - -24. Calculate the lowest common multiple of i and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000064582 rounded to 7 dps?\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2491, 6608, 17793, 39580, 75503?\n\"Answer: 589*v**3 - 6*v + 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 + -30. Calculate the least common multiple of 44 and a.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 - 56*c + 6. Determine n(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 12265*i - 515125. What is y(42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1493 - 778. Let k = -591 + m. Is 31 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*l - l + 0*l)*(-5*l**3 + 2*l**3 + 4*l**3) + (64 - 510 - 202)*(l**4 + 2 - 2))*(-7 + 7 + 33*l).\nAnswer: -21417*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven quarters of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9429 + -2343.\nAnswer: -11772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-317)\/1585*(1\/((-783)\/(-3)))\/(1\/(-10))?\nAnswer: 2\/261","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -69\nAnswer: 6.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3 + 916*q**2 - 2*q - 916 = 0. Calculate q.\nAnswer: -458, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*o, -j + 8 = -o - 4*j. Let y = o - -3. Find the third derivative of -8*x**4 - 4*x**2 + 2*x**6 + 8*x**y wrt x.\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.014 + -0.104. Sort -1\/4, q, -2, 0.2 in descending order.\nAnswer: 0.2, q, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 501, 752, 1003, 1254, 1505?\nAnswer: 1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = 19*j - 58. Solve -5*d = -5*v + 6*v - 22, 4*v + 2*d + j = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18346022 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**4*t*t)\/((t**(-6)\/t)\/t))\/(t**0\/(t\/(t**(4\/7)*t)*t)) assuming t is positive.\nAnswer: t**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(24\/(-27))*(-44)\/198.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 4 + 4)*(3 - 3 - 2 + (-2 - 2 + 1)*(-2 + 20 + 9)) as u + d*v and give d.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 127187 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a factor of 45647243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**4 - 15*m**3 + 9*m**2 - 11*m - 6. Let c(g) = g**2 + g + 1. Let x(i) = 6*c(i) + k(i). Factor x(s).\nAnswer: 5*s*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19450283 to three decimal places.\nAnswer: 0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 81.79017 months?\nAnswer: 0.0068158475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -186 - -425. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*4\/8*(-17)\/(255\/(-15))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0512 + 0.051199923. Round h to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 4*a + 0*a - a - 7*a - 4*a**2.\nAnswer: -4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z. Let r = -23 - -21. Let n be x(r). Suppose -2*c + 36 + 45 = -5*j, n*c - 123 = -3*j. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -36*m**3 + 3*m**2 - 3*m - 32. Let k(h) = -107*h**3 + 8*h**2 - 8*h - 95. Let i(x) = -3*k(x) + 8*q(x). What is the first derivative of i(v) wrt v?\nAnswer: 99*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*y - 8 + 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -202133203 (base 5) in base 6?\nAnswer: -25310412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(21) + (sqrt(21) - (sqrt(3024) + -1*sqrt(3024) + sqrt(21)))))\/(-2*-6*sqrt(6)\/sqrt(2))*-1 + 3)*3.\nAnswer: 3*sqrt(7)\/4 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 672860 - 176*m**2 - 672860.\nAnswer: -176*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 4:41 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**2\/6 - 25753*y\/3 - 663217009\/6 = 0.\nAnswer: -25753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221021110100 (base 3) in base 16?\nAnswer: fb358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16c551c (base 13) to base 8.\nAnswer: -34207002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 + -41. Find the first derivative of 22 + s + 72*v**3 - 30 wrt v.\nAnswer: 216*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*d**2*w**2 - 1227716*d**2*w + 41292*d*w**2 wrt w.\nAnswer: 32*d**2 + 82584*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/(-50))\/(8\/(-760)). Calculate the highest common divisor of l and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -322 greater than or equal to -324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 7\/9311 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 - 14*d**3 + 30*d**2 - 18*d.\nAnswer: 2*d*(d - 3)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 1472 = t. Let g = t - 174. Suppose -5 = 3*i - 14. Solve -5 = -i*z + g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.028, 1, 2, 3 in decreasing order.\nAnswer: 3, 2, 1, 0.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 5*x - 1. Let w be 15\/15 + (-1 - 2). Let r(h) = 5*h**2 - 4*h - 212. Let l(z) = w*j(z) + r(z). Find the first derivative of l(y) wrt y.\nAnswer: 14*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/483 and -65\/63?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - (-20)\/(-4))*(-8685)\/(-18). Calculate the greatest common factor of v and 772.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + u + 2 + 2 + (-u + 0*u - u)*(4 + 0 - 2) + u + 1 - 1 - 3 + 4*u + 3 to i + k*u and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-1 + 3 - 1)*(-3*k**2 + 3*k**2 - k**2).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + h**2 - 239*h - 6*h**2 + 241*h)*(-66*h + 15*h - 27*h) to o*h + l*h**2 + q + x*h**3 and give x.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 9866?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*a - 15*a + 63*a)*(-3*a**3 + 8*a**3 + 3*a**3) + 1 + 3*a**4 - 1.\nAnswer: 267*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39\/5*x + 21\/5 + 3\/5*x**3 + 3*x**2.\nAnswer: 3*(x - 1)**2*(x + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*o + 2967 = 0, -4*j + 3952 = -0*o + 3*o. Is 79 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8c1836 + 5?\nAnswer: -8c1831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7 = 2*b. Suppose 9*l - 30 = 14*l. Let j(s) = 3*s**2 + 17*s - 3. Let y be j(l). Solve -b = -n - y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 139*p**2 - 1175*p + 40403. Give t(-80).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1944252 divided by -162021.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-2 - -1 - -3). Let l be (-3)\/(-9) + i\/(-3). Which is the nearest to -1? (a) -2\/15 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 35 = 0, 4*f = -40*c + 39*c + 201989. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**4 - 197860*q**3 - 791535*q**2 + 593550*q + 3561840 = 0. Calculate q.\nAnswer: -3, 2, 39576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2082 and 53.254?\nAnswer: 110874.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(0 - 6\/(-9)). Let l be ((-3)\/2)\/(a\/4). Let f = -0.1 - 0. Sort f, -5, l in decreasing order.\nAnswer: l, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 458*l - 2. Let n be t(2). Suppose 251 = 3*p + n. Let y = -108 - p. Calculate the remainder when y is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 - 37*v - 21*v**4 + 37*v + (-2*v + 2*v + 2*v**4)*(5 - v - 5).\nAnswer: -3*v**5 - 21*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/7 and 0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1882 and 663.\nAnswer: 1247766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86*a*n**2*r**2 - 14552*a*r**2 + n**2*r**2 - 5*n**2*r - 123*n**2 - n*r - 609*r wrt a.\nAnswer: -86*n**2*r**2 - 14552*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4902 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 657417.2us to nanoseconds.\nAnswer: 657417200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 59 + 17 = 0. Let x(o) = 9*o**2 + 14*o. Let d(p) = -9*p**2 - 15*p. Let w(b) = m*d(b) - 7*x(b). Find the second derivative of w(u) wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-7)\/2)*329\/188.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-41))**25 assuming n is positive.\nAnswer: n**(-1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99723 is divided by 49463?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 15, 0 in decreasing order.\nAnswer: 16, 15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*z**4 - 30*f**2 - 20*f*v*z - 17*f*v - 10*z**4 wrt z.\nAnswer: 8*f**2*z**3 - 20*f*v - 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473196709?\nAnswer: 227, 2084567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let n(c) be the first derivative of -14*c**3\/3 - 12. What is n(y(q))?\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611 a factor of 921897102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 560\/224*(-12)\/1065.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/12)\/(44\/21 - 2)*(-917)\/(-6419).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/3 (b) 2\/7 (c) 7\/4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 21*k + 16. What is the lowest common multiple of u(20) and 63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(-14)\/28.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1570319 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2992599 divided by 79\nAnswer: -37881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.71 (b) -1 (c) -0.8 (d) -3\/3367\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 16568 and 67.\nAnswer: 16635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*l + 105 = 465*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**3 - 2120*r**2 - 17*r + 51. Let k(m) = 265*m**2 + 2*m - 6. Determine -17*k(c) - 2*v(c).\nAnswer: -6*c**3 - 265*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*l + 13 = 0, -2*l + 7 = -3*a - 4*l. Let p = a - -9. Let y(n) = 3*n**3 - p - 27*n**2 - 2*n**3 + 2*n + 32*n**2. Calculate y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1))**(-3)*(n**(-1)\/n)**(-46))\/((n\/(n*n**1*n))**(26\/7)*n**3*n*n**(-2\/7)) assuming n is positive.\nAnswer: n**(670\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6000*j - 5926*j = -370 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/(((-296)\/(-128))\/37).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.64 - -2.14. Put 2, -2, -0.088, m in decreasing order.\nAnswer: 2, m, -0.088, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2317 is divided by 282?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20222210211211201 - -11?\nAnswer: -20222210211211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 1\/2, 2.87?\nAnswer: 2.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(12\/13))**(2\/41) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3755 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/63 - (-155)\/(-105))*(-393 + 462).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 5:28 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 5207*j**6\/6 - j**3 - 9*j**2\/2 + 4*j - 6299. Find the third derivative of f(z) wrt z.\nAnswer: 312420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.95892 - -0.04108. Suppose 2 + 7 = 3*z + f, 12 = 4*f. Which is the closest to 3? (a) -1\/5 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3 + 5220*r**2 + 2495316*r + 139042540 = 0. What is r?\nAnswer: -317, -65, 1687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -51 (c) -1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 8*n. Let c(u) = u**2 + 5*u. Let i(o) = 8*c(o) + 5*m(o). Let w be (-8)\/(2 - 6)*1. Let v(h) = 4*h**2 - 7*h**2 - h**2 - h**w. What is i(v(k))?\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 350016 divided by 116672\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138648 - 0.057.\nAnswer: -138648.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*a = 0, 6 = a + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ossssossos. Give prob of picking 1 o and 1 s.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2*-1)\/10*(-49)\/49?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0011*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-229)\/(-3) - 14\/(-21). Let c(w) = 2*w - 7. Let k be c(6). Suppose k*h = v + 28. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*u**3 + 3*u**2 + 6*u**3 + 7*u**2 + (-4*u**2 + 4*u**2 - 2*u**2)*(1 - 1 + 2*u).\nAnswer: -7*u**3 + 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*p**6 + 1422*p**5 - 4551*p**2 - 18*p wrt p.\nAnswer: 3360*p**3 + 85320*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 127*r**2 - r - 73. Is n(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 17*x + 12*x - 137 + 81. Let k be z(2). Solve -10 + 8 = k*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (4 + sqrt(108))**2) + (sqrt(3) - (sqrt(3) + 0 - sqrt(3)))*-4 + 2.\nAnswer: -122 - 51*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2234310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w + 5478 = -206*w + 4*w for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3123 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12035 + 1?\nAnswer: 12040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -18*r + 6. Give b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**2. Let z(p) = 8*p**2 - 3. Give z(j(d)).\nAnswer: 392*d**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4*x = -2, -4*d - 1373 + 1384 = -3*x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -699 - -710. Suppose -5*j + 370 = 5*i, -i - 6*j + 4*j + 69 = 0. Suppose q = 3*r - i. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*k**3\/11 - 3664520*k**2\/11 - 13197618*k - 130674060 = 0. Calculate k.\nAnswer: -99\/5, 73330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {w: 2, i: 2, x: 9}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/3 - 3*i**2\/2 - i - 2. Suppose -3*s = -0*s - 30. Suppose -5*o = -0 - s. What is t(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*b - 513*b = -529*b - 16872 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 4*w**2 + 210*w + 906. Determine o(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzfmzzrfzm. Give prob of sequence rzfm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.34 plus -2209?\nAnswer: -2213.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*b*o**4 - b*o**2 - 3*b - 4*o**4 - 37*o wrt o.\nAnswer: -228*b*o**2 - 2*b - 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 7*r**2 - 19*r + 15. What is o(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, y: 3, v: 7, o: 1, i: 7}. What is prob of sequence ioiv?\nAnswer: 49\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-48)\/504 - 82473\/(-63).\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 11.6. Let j = q - -15. Suppose -2*d - i - 12 = 0, -d = 3*i - 1 + 2. What is the nearest to -1\/3 in d, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*o - 21 = 0, 0 = 10*t + 3*o + 29 - 102 + 94 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lblb when four letters picked without replacement from lllllllllbb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 + 5*g + 49. Let j be x(6). Which is the closest to -0.14? (a) 4 (b) j (c) 2\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1739 times 61.454\nAnswer: -106868.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 373 + 867. Suppose -70*f + 68*f = -d. List the prime factors of f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**(2\/31)\/r)\/r))\/(r*r*r*(r*r\/((r*r**(1\/9))\/r))\/r)*r\/(r\/r**(2\/11))*r**(1\/2) assuming r is positive.\nAnswer: r**(-1667\/6138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**3\/3 - 182. Let y(x) = 401*x**2 + 3. What is h(y(m))?\nAnswer: 160801*m**4 + 2406*m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1450133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3559655.\nAnswer: 5, 11, 61, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*x - 10097 = 50*x. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4818384 + -0.6.\nAnswer: 4818383.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 557599\/30 - 18581. Let q be (-6)\/2*19490\/(-30). Let n = 31135\/16 - q. Calculate the common denominator of r and n.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1680 and 133677285.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.481 - -6.641. Which is bigger: w or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422 - 628 = -3*b. Let u = -174 + b. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-19)\/4)\/(6\/24). Let t = d + 24. Suppose -t = -2*f + o + 5, 3*f + 2*o - 22 = 0. Calculate the lowest common multiple of f and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 + -80559118\nAnswer: -80559118.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 10:59 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22365139, -44730270, -67095403, -89460538?\n\"Answer: -n**2 - 22365128*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*f - 5. Let t(h) = 10 + 3*h**3 - 13 + 7 - 2*h + h**2. Let j be t(f). Calculate the greatest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31941 is divided by 193.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 9. Let o be h(6). Let f be o\/(3 - -2 - 0). Which is the nearest to -1? (a) -4 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, -40, -169, -424, -847, -1480, -2365, -3544?\n\"Answer: -7*f**3 + 4*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 + 1)\/(-3 - -2). Let i be ((-25)\/3)\/(x\/(-66)). What is the greatest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**3 - 26*k**2 - 14. Let x be z(-6). Put -14, 4, x in decreasing order.\nAnswer: x, 4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19959*a**3*h**3 - a**3*h**2 + 402*a**3 - a**2*h**2 - 6*h wrt h.\nAnswer: -119754*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 3. What is the remainder when 35 is divided by r(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205867?\nAnswer: 127, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -34. What is the smallest common multiple of 14 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -265 + h**2 - 179 + 3*h - 79*h**3 + 454 as m*h + q*h**2 + k*h**3 + f and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -15*z - 154. Let b(v) = 7*v + 71. Let c(a) = -13*b(a) - 6*w(a). Let x(h) = -4*h + 9. What is -5*c(i) + x(i)?\nAnswer: i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(3) + 2 + -3 - (sqrt(12) + -5)) + (-5 + sqrt(30)\/sqrt(10))**2 + -5).\nAnswer: -108 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.276695052 rounded to 2 decimal places?\nAnswer: -4.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 249 or 18285\/73?\nAnswer: 18285\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 23*y**2. Let l(b) = 45*b**2. What is -4*l(s) + 9*n(s)?\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 91 - 45 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196*x + 1094*x - 4284 = 0 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25205 and -4.\nAnswer: 100820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 3*k - 2*k + 1145*k**2 - 1146*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 f, and 2 z when four letters picked without replacement from ssssfzzzssz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1123*g - 2 = -2*x + 1127*g, -g = -5*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 1. Suppose 0 = -f*h + h. Let j be 6\/4*(2 + h). Solve 0*d + j*d = -5*c + 14, 8 = 5*c + d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 24*d + 67. Let p be c(-21). Solve 4*a + 6*t = 4*t + 4, -p*a + 4 = -4*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -344*b - 94*b - 63*b in the form g*b + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6936.5 + 6940.5. Let k = -2.1 + 2. Which is the closest to k? (a) 0.3 (b) 29 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -22*b**3\/3 - 610. Let c(s) be the first derivative of -3*s**2\/2 - 4. What is r(c(w))?\nAnswer: -198*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-2 + (-45)\/(-20))*-2. Let x = -553\/15 - -37. What is the closest to n in x, -4, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -9 - -105) + 0 + 6 - (4 - 2).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.15 (b) 2.1 (c) -7959 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2249*m - 6 = 2245*m + 5*i, -3*i = -8*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349413827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - ((-3 - -11) + -1) - 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3363*k**3 + 3379*k**3 + 3*k**2 - 6)*(3*k - k - 5*k)*(k - 3*k + 0*k).\nAnswer: 96*k**5 + 18*k**4 - 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*w - 54, -2*t - 40 = -w - 3*w. Let f(u) = -9*u**2. Let m(c) = 28*c**2 + 7237 + 7213 - 14450. Give t*f(k) - 5*m(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 - 78.79. Which is the nearest to 1? (a) -2\/5 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 705, 699, 693, 687?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(12)\/(sqrt(216)*1))**2 - (5 + (-2*sqrt(12))\/sqrt(6))**2) + -5 + 3.\nAnswer: -647\/18 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2400000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 7*p - 2*p**2)*(-10 - 16 - 3 - 9).\nAnswer: 76*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d. Suppose 5*l = 2*k, 5*l + 6 = 3*k + 1. Suppose l*p + 4 = -2*p. Let h(v) = -1. Calculate p*w(q) - 2*h(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67.51 + 47.51. What is the closest to j in 0, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4970527*a**3 + 7*a - 655*a**2 + 655*a**2 + 4970523*a**3 - 7*a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 136 = 48*i. Sort -9, i, 2, 1 in descending order.\nAnswer: 2, 1, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -10*m - 9. Let i be d(-1). Suppose 3*x - 3*u = 15, x + i = 2*u + 7. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:44 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + (-5*(sqrt(1573) + (sqrt(1573) - (sqrt(1573) + 1)) + sqrt(1573))**2 - sqrt(1573)) + sqrt(1573) + -1 + 2 + sqrt(1573) + -4)*1.\nAnswer: -31466 + 231*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6567 and 1118997?\nAnswer: 222680403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 90.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**7\/42 - 2*i**6\/15 - i**5\/10 + 2*i**4\/3 + i**3\/6 - 2*i**2 - 5*i. Solve m(d) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 19*u - u. What is the highest common factor of u and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 212.7 and -232941839012.\nAnswer: -232941838799.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222 (base 3) in base 6?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -533*d**4 - 2*d**3 + d + 6*d**2 - 5*d**2 + 289*d**4 - 34 + 235*d**4 to the form i*d**3 + k*d + o*d**4 + n*d**2 + r and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -75208, -150361, -225510, -300655, -375796, -450933?\n\"Answer: 2*f**2 - 75159*f - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*q = 7, -3*q = -2*n - 2*n - 6. Let a(p) = 166 - 92 - 77 + 46*p - 55*p - p**2. Let h(b) = -b**2 - 5*b - 2. What is n*a(x) + 5*h(x)?\nAnswer: -2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {k: 5, t: 4, a: 6}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*l**2 + 66*l**2 + 9*l + 75*l**2 + 113*l wrt l?\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 32*p + 34. What is the least common multiple of o(-1) and 4\/(-16) + 45\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 11*u**4 - 690*u + 2*u**2 + 690*u as v*u + a*u**4 + o*u**3 + g*u**2 + h and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -3, 2, -35, -9, 5, -5 in decreasing order.\nAnswer: 38, 5, 2, -3, -5, -9, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-744)\/3224)\/((-3)\/(-2))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d - n, 3*n = d + 2*n + 2. Suppose d = -2*a - 10 - 8. Let k be ((-10)\/(-3))\/((-21)\/a). Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -164 - -159. Let m be c\/8*(-10)\/(-25)*0. Let w be -2 + (114\/22)\/3. Which is bigger: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 255, 498, 735, 966?\n\"Answer: -3*b**2 + 252*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/9)\/h)\/h*h*h**(-1\/4)\/h)\/(h*h**(2\/11)\/h*h*h*h*(h**(4\/3)*h)\/h*h) assuming h is positive.\nAnswer: h**(-3251\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -31. Suppose 6*v - z*v + 15 = 0. Suppose 2*j = 3*y + 143, 5*y - v*y = -3*j + 182. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 - 15*q**4 - 4*q**3 + 144*q**2 + 32*q - 336 = 0. Calculate q.\nAnswer: -14, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**2 + 4*d**3 - 13*d**3 + 8*d**3 - 2*d**3 + d**3 - d**3 - d**3 + 0 + 0 + (2*d**3 - 2*d**3 - d**3)*(1 + 0 + 1).\nAnswer: -6*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*d + t - 0*t, -1015 = -8*d + 3*d + 4*t - 1010 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*s**3*w**3 + 2*s**3*w + 96*s**3 - 1248453*s*w**3 + 10142*s*w**2 + w**3 + 18 wrt w?\nAnswer: 180*s**3 - 7490718*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*d + 215, 3*p + 649 = -5*d + d. Let r = -147 - p. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/2 + 159*p**3\/2 + 3412*p**2 + 43758*p.\nAnswer: p*(p + 26)*(p + 34)*(p + 99)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136*c**5*y - 11*c**4*y - 5*c**3 + 3*c**2 + 296*c*y + 22*y wrt c.\nAnswer: 8160*c**2*y - 264*c*y - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6969 and 22377459?\nAnswer: 22377459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*f - 43*f = 0. Solve f = 6*k - 27 + 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 7*f**2 + 5*f + 1. Let d be v(6). Let i(r) = r**3 + 6*r**2 + 2*r - 1. What is the lowest common multiple of 4 and i(d)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3370*x - 6937*x + 5236*x)*(1 - 5 + 2).\nAnswer: 10142*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**(1\/4))**8*k\/k**(-20)*k*(k\/k**(-8\/3))\/k)**17 assuming k is positive.\nAnswer: k**(2380\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/28 + -23*7\/49. Which is the biggest value? (a) 2 (b) 4 (c) x (d) -3\/8 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = 7*d + 6*r, r + 209129 - 209150 = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33067179 to the nearest integer?\nAnswer: 5750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 6*f + 6. Suppose 0 = 3*v + 2*o + 18, -v + o = -4*o + 6. Let a be d(v). What is the highest common factor of a and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/7*u + 0 - 4\/7*u**3 - 4\/7*u**2.\nAnswer: -4*u*(u - 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 6)*(-w + 3*w + 0*w) - 3*w - 2*w + w to the form p*w + t and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f*f\/(f\/(f**(-16)\/f)))\/f)*f*f*f**(-1\/4)*f\/f**(7\/3)*(f**(-11\/2)*f)\/f*f assuming f is positive.\nAnswer: f**(167\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 229 - 34 = 0. Suppose -z - t = -a - 0*a, 145 = 3*a + 4*z. What is the remainder when a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4110 and 107.653054.\nAnswer: 4217.653054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6819 (base 11) to base 2\nAnswer: -10001100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 7:54 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 9*p**2 - 8*p + 3. Let x be z(-8). Find the second derivative of -3 + 1 - 2*t**5 + 2 - x*t wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 9:38 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 2, x: 4}. What is prob of sequence xx?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**3\/12 - 3*z**2\/8 - 1. Factor k(r).\nAnswer: r*(r - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 7*h - 540. Let i = h - 50. Suppose 2*r = 3*r - i. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1312921 + -2?\nAnswer: 1312919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nower. What is prob of picking 1 e and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -22*r - 117. Let h be o(-8). Let z = h - 55. Solve -z*k - k = -5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15978014 = 81*v - 31836043. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-14 - (5 + -10) - (43 - 50)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**2*q**3*y**2 + 3*p**2*q*y**4 + 5*p*q**3 + p*y**2 + 22*q**3*y**3 + q**3 - y**4 wrt y.\nAnswer: 72*p**2*q*y + 132*q**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12\/7 + 45\/14. Calculate the common denominator of -107\/10 and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782142 is divided by 3558?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3939707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -9.874296\nAnswer: 4.937148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 8*r**2 + 10*r - 14. Let u be n(9). Sort -0.5, -0.4, 0.9, u.\nAnswer: u, -0.5, -0.4, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/((l\/(l**0\/l*l*l)*l)\/l))\/l)**(-21) assuming l is positive.\nAnswer: l**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 195095050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/4*4\/6. Suppose i - y*i = 12. Which is the second smallest value? (a) 2 (b) i (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90128841, -90128853, -90128881, -90128931, -90129009, -90129121?\nAnswer: -90129273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/7030*-4*(-1)\/45. Let r = a - -2056339\/1012320. Calculate the common denominator of 137\/12 and r.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(1\/4)*t**(3\/4) assuming t is positive.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73408)\/(-1332)*(-441)\/(-392).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*d - 288 = 3*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1416 and 3148476.\nAnswer: 6296952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -650*r - 1032*r**2 + 358*r + 292*r. Let o(q) = q**2. Determine f(o(m)).\nAnswer: -1032*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 117656.\nAnswer: 823592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.87 + -11.17. Suppose 0*z + 3 = 3*z. Let x = -129 - -134. What is the third smallest value in z, -3, x, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*f + 17*f - 6. Let z be f - 3\/2*-10. Calculate the greatest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20222, -80857, -181912, -323387, -505282, -727597, -990332?\nAnswer: -1293487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 5:04 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p**3 - 7*p**2 - 7*p. Let a(k) = k**2 - 3*k - 2*k**2 + k**3 + 2*k. Let w = -9 - -11. Suppose v = -w + 4. What is v*n(y) - 14*a(y)?\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -62 - (-61 + 67 - 14)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 v when three letters picked without replacement from iivinvyci.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 15*r**2 - 10*r + 10. Let h be 29\/2 - (-165)\/66. What is the hundreds digit of v(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9)\/(((-8)\/(-30))\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1524 (base 16) to base 8.\nAnswer: -12444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - -6)\/(160\/(-82) + 2). Let m = -34 - a. Find the second derivative of 1 + 15*r - m - 7*r**2 + 6 wrt r.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 7\/2530874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.066, -2, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.31363 + 0.315. Round t to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*t**3 + 115*t**3 - 137*t**3 + 185*t**3.\nAnswer: 475*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -21*t - 122. Let y be q(-6). Solve 3*l - 4*n = 3, 0 = -y*l + 4*n + 12 - 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - 5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + 79*s**2 + 124*s - 50. What is v(41)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -135*a**3*v**2 + 1773*a**3 + 5*a*v**2 wrt v.\nAnswer: -270*a**3*v + 10*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3625, -2\/13, 9, -4, 4, -1\/3.\nAnswer: -4, -1\/3, -2\/13, 4, 9, 3625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(363) + -3)**2 - ((sqrt(363) - (sqrt(363) - (sqrt(363) + -1 - sqrt(363))))**2 + sqrt(363))*5.\nAnswer: -99*sqrt(3) + 362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c - 3*c - c. Let s(t) = 6. Let y(r) = r - 51. Let n(d) = 51*s(d) + 6*y(d). Determine n(g(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.61 + 9707\nAnswer: 9706.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 34 + 20. What is the least common multiple of a and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1264)\/96)\/79*-10)\/((-5)\/(-93))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/12)\/(6\/45). Suppose -5*z + c*y = 1330 - 5415, -4*z - 2*y = -3292. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17893?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -824559, -824583, -824607, -824631?\n\"Answer: -24*a - 824535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 l when four letters picked without replacement from {w: 8, l: 7, t: 3}?\nAnswer: 98\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*z + 0*z - 2*z)*(0 + 1 + 0)*((z + 2*z - 2*z)*(5 - 2 - 9) + 4 - 7 + 7*z + 9*z) to h + x*z**2 + p*z and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52)\/(-14) - 2\/(-7). Let t = 5 - w. Is t at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24187302.\nAnswer: 2, 3, 307, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aonnagnaoaeagngalen. Give prob of sequence onan.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 7:36 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/6 + q**4\/6 + q**3\/3 = 0. Calculate q.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 9 - 20) + (-12 - -39).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -41*h**3 + 736*h**2 + 37*h - 15. What is p(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/13, 1\/7, 332.37, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bbobbob?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 286*b**2 + 30*b + 21. Let u be i(9). Is u\/147 - 6\/(-14) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -253 + -223. Let i = -481 - v. What is the second biggest value in i, 2\/5, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -13. Suppose -4*m + 6 = h*r, 3*r - 3 = -0*r - 3*m. Let 0 + 0*c**r - 2\/9*c**3 + 0*c = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 - (-275)\/7. Suppose 0 = 20*k - 3302 + 3042. What is the highest common divisor of b and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -25 + -14 - (-7 - 1). Which is the nearest to g? (a) 1\/3 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from morgongorrooroorkmr. What is prob of sequence rr?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -484.66092 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.48 - 13.4253. What is x rounded to 3 decimal places?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 0.1 (c) 5\/3 (d) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**34\/n**10 assuming n is positive.\nAnswer: n**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 68?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4069 - -4111. Solve 15*p = 22*p - m for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 2*l - 156 = -226 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**5\/10 - 2749*n**4\/10 + 223431*n**3 - 362886372*n**2\/5 + 41353705872*n\/5 + 16833583296 = 0?\nAnswer: -2, 372, 1635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156539 is divided by 14008.\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-40))\/(82\/16 - 4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4*x - 27, 0 = 4*s - x - 38 - 2. Suppose s*k - 9*k = 4. Solve -k - 2 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -38822 (b) 5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000028535111 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.7 and -4.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*o**2*x - 2*o**2 + o*x - 62*o wrt o.\nAnswer: -8*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgkkgg. Give prob of sequence kkgg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26659, -26661, -26675, -26707, -26763, -26849, -26971, -27135?\nAnswer: -27347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g**13\/g))\/g)\/(g\/g**13*g*g))**(-8\/15)*(g\/(g\/(g**(-2\/13)*g*g))*g*g*g*g**(-9)*g)\/((g**(-2\/3)\/g)\/g)**(18\/5) assuming g is positive.\nAnswer: g**(1361\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2760961?\nAnswer: 7, 137, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -230aac - 2?\nAnswer: -230aae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/60 + a**4\/3 + 3*a**3\/2 - 2*a**2. Let o be f(-6). Let y = o - -8. Solve 11 = 3*r + 5*l, -y*r = 2*l - 15 + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19978393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 a factor of 138364600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1040144034 (base 5) to base 3.\nAnswer: 11021102021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 3:49 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -78.22 times -0.2\nAnswer: 15.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-32)\/(-24) - (3 - 36\/4) and 122\/9*9\/(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -19*n - 333. Let a be q(-17). Let l be 10*(15\/42 + a\/(-70)). Solve l*r - 13*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0 (b) -4 (c) -50 (d) 391.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v - 1. Suppose 324 - 126 = -66*l. Let o(h) = 1. Calculate l*o(z) - i(z).\nAnswer: -9*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -290160, -290165, -290172, -290181, -290192?\n\"Answer: -c**2 - 2*c - 290157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + w - 2 - 4 = 0, -5*w = 0. Solve c*r + 0 = -4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117 (base 11) to base 4\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 25*q - 6*q + 110. Let o(p) = -11*p**3 - 11. Let h(z) = -1. Determine q*h(m) + 2*o(m).\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -4*y**7\/21 + 31*y**4\/12 + 13*y. What is the third derivative of x(s) wrt s?\nAnswer: -480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, 1, -6386?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 41*v + 49*v - 91*v + 1. Let r(x) = 8*x**2 + 2*x - 4. Determine 2*m(h) + r(h).\nAnswer: 6*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {c: 7, e: 1, t: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7377009825+-2\nAnswer: 7377009823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + (14 - 21\/3). Find the third derivative of 41*h**2 - 67*h**t - 103*h**3 - 93*h**2 wrt h.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/5 - 228687*z**2 - 6860579*z\/5 - 1143429 = 0. What is z?\nAnswer: -1143429, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5 = 5*y, 6*y = -3*n + 3*y + 30. Suppose 0 = -2*m + 2*c + 182, 0 = n*c + 5 + 15. What is the highest common divisor of 29 and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 274 - 273.7. What is the nearest to 2\/7 in 5, a, -2.7, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364 - 64*b**2 - 343 + 729 - 16*b**2.\nAnswer: -80*b**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122 + 127. Suppose -u*j - 21 = 5*n + 9, -2*j + 5*n + 16 = 0. What are the prime factors of (-3 - 2) + (-402)\/j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 2*p**2 - p - 3. Let f be w(3). What is the derivative of 0*k**3 - 2 + 0*k**f + k**3 + k**3 wrt k?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**5\/35 - 3*i**4\/28 - 11*i**3\/21 + 3*i**2\/14 + 10*i\/7 - 1364. Find b, given that t(b) = 0.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41790332 divided by -3\nAnswer: -41790332\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 5 - 5)*(-4*z + 3*z - 9*z)*(-4 + 3 + 0) + z**2 - 3*z**2 + 3*z**2.\nAnswer: -39*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1013, -0.5, 1, -110?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, -0.3, 2 in decreasing order.\nAnswer: 196, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323427429?\nAnswer: 23, 57540323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 120 - 116 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16470, -65880, -148230, -263520, -411750?\nAnswer: -592920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -18.3, -0.3, -3, -3\/2420, 5, -1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/44 - (-3)\/8. Let d = -2 - -3. Which is the biggest value? (a) -3\/2 (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.521672 decades to centuries.\nAnswer: 0.9521672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.034 + 0.034. Let l be 3*2\/6*-1. Which is the closest to s? (a) 0.08 (b) -1\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((4 + -5 - -6) + -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 2.1. Let k = -5 - -1. Sort k, -2\/9, q in decreasing order.\nAnswer: -2\/9, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.073 or 20980?\nAnswer: 20980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 89, 564, 1831, 4286, 8325?\n\"Answer: 66*f**3 + 13*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 26*t**2 + 28*t - 40. Calculate p(27).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1992*h - 991*h - 1000*h. Let l(f) = -2*f**2 + 5*f. Let o(j) = -j**2 + 2*j. Let g(w) = 2*l(w) - 5*o(w). Determine s(g(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70692 and 774.\nAnswer: 212076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -57*f + 9. What is the least common multiple of p(-1) and 2904?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701786699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 - (3 - (-2 + 1)) - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -308 by -4.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and 17?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 3*d + 146 - 247, -3*t + 81 = 4*d for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/708 and -139\/18?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4 - 1588*r**3 + 22085*r**2 - 77162*r + 56664 = 0.\nAnswer: 1, 4, 9, 1574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30\/5*(-4)\/84\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18788 + 4760.\nAnswer: 23548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 1)*4 + -4. Suppose f*o + 3 = -o. Let i be (-3*(-4)\/o)\/(-22). Which is the nearest to -1\/6? (a) i (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 31 - 5*q + 86 - 28 - 23. Give c(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -75*k**2 + 737. Let t(a) = -26*a. Give m(t(y)).\nAnswer: -50700*y**2 + 737","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8*-8 + 4\/2. Suppose -57 = l*r - 41. Let g(s) = -s**2 - 2*s - 4. What is g(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27162 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20545 - -20567. Solve 11 = -c*r - 165 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**6\/2 + 14*r**5\/5 + 4*r**4 + 2*r**3\/3 - 3*r**2\/2 + 16. Let y(q) = 0. What is q?\nAnswer: -3, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -239*w - 16711. Determine p(-70).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-8 + -5 - 8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/7)*d)**(1\/11)*d**(1\/4)\/(d*d\/(d\/(d\/(d\/(d**(1\/9)*d))))) assuming d is positive.\nAnswer: d**(-4727\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 5, 0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6*j + 21 = -h, 3 = 2*h - 5*j. Let u be ((-5)\/4)\/(h\/24). Solve 4*q = -u + 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20230000211 (base 4) in base 12?\nAnswer: -919b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - (34 + -9)) + (-8 - -1) + 40.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**13*t**(-3\/7))\/((t*t\/t**1*t)\/t)**(-2) assuming t is positive.\nAnswer: t**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 62*t + 3. Is u(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9*v**2 + 1 + 6*v**2 + 5*v + 5*v**2 + 2*v**3. Let k be y(-4). Let u = 18 - k. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 109, 262, 415?\n\"Answer: 153*d - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t + t**4 - 44*t**5 + 33*t**5 - t**4 wrt t.\nAnswer: -220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -282*m**3 + 10*m**2 + 295. Let p(z) = -z**3 + 59. Determine n(j) - 5*p(j).\nAnswer: -277*j**3 + 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17\/21 - 589\/735. Let i = f + -1672\/735. What is the common denominator of 56\/5 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 1261.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/5 + 4*t**4 - 19*t**3\/5.\nAnswer: -t**3*(t - 19)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 2*v - 3*v + (0 + 1 - 2)*(-v + 5*v - 2*v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -14, -23, -32, -41, -50?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(4\/(-2))*-2. Let x be f*(-2)\/(-20)*30. Suppose -3*m + x = m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 637387*k + 27061 with respect to k.\nAnswer: 637387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8917, -17878, -26921, -36088, -45421, -54962?\nAnswer: -64753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -25\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69*i**2 - 4*i + 912 wrt i.\nAnswer: 138*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*(-9)\/(-36)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1721508 by 164.\nAnswer: 10497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**3 - 11*w**2 - 11*w - 1. Let f(g) = -g**2 - g. Let j(x) = -22*f(x) + 2*l(x). Differentiate j(d) wrt d.\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(((w**(14\/11)*w)\/w*w)\/w)*(w\/(w\/(w*w*w**(-24)\/w*w)))\/w*w*(w*w\/(w*w*w**(-15))*w)**(-5) assuming w is positive.\nAnswer: w**(-1125\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + t + 9, -2*l - 2612*t + 2616*t - 18 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6816 and 108?\nAnswer: 61344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6792931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2057) - (sqrt(170)*1)\/sqrt(10))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = -7*m + 42 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3 = 1969*l - 1971*l, -2*l + 3*q + 7 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 30173\nAnswer: -1\/30173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -189*g**4 - 6534*g**3 + 2829*g**2 - 210*g = 0. Calculate g.\nAnswer: -35, 0, 2\/21, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -381 - 0.0691.\nAnswer: -381.0691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/6 - 3\/(-18). Calculate the remainder when (8\/(-5))\/(f\/(-30)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114816 is divided by 57383.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -6*p**4\/7 - 286*p**3 + 29990*p**2\/7 + 3078*p - 10440\/7 = 0.\nAnswer: -348, -1, 1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/27)\/(-4)*12\/(-24).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0 - 4*g - 9\/2*g**2 + 3\/2*g**3. Let b(o) be the first derivative of -5*o**2\/2 + 5*o - 1. Calculate 5*b(a) + 3*m(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(4\/15))**(-9\/8)*m\/m**(15\/7)*m**(2\/109))**(-31) assuming m is positive.\nAnswer: m**(1844469\/30520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-18 + (47 - (-17 + 42))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -60 (b) -127 (c) 4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 181145*v - 543480.\nAnswer: 5*(v - 3)*(v + 36232)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086 minus 8?\nAnswer: -7.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 226760600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, i: 1, t: 1, m: 1, u: 4}. What is prob of picking 2 u?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3527894 is divided by 1907?\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, y: 2, a: 1, s: 1, x: 2}. Give prob of sequence xy.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-48)\/15 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*h**5 - 488*h**2 + 488*h**2 + (-2*h**2 + 3*h - 3*h)*(2*h**3 + 5*h**3 - 5*h**3) + 6*h**5 - 3*h**5 - 2*h**5 + (h**3 - h**3 + 2*h**4)*(-2*h - 11*h + 3*h).\nAnswer: 16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -2)\/((-1)\/(-2)). Suppose -55 = k*s - 7*s. Suppose 4*d + s = -z, -2*z + 2*d + 10 = 2*z. Calculate the highest common factor of 9 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -44 (b) 41905 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*((c*c**(-1\/2))\/c)\/c*c)\/c)**2\/(c**(1\/4)*c*c)**(-2\/53) assuming c is positive.\nAnswer: c**(115\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -107 + (7 - (-6 + -1 + -200 + 195 + 13))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*h + 59*h - 198. Suppose 3*j - 387 = -3*w + 198, -2*w + h = j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, m: 2}. Give prob of picking 2 m and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bop when three letters picked without replacement from booooobbpoopooooo.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -10\/21, -0.3, -0.17, -0.1?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -201 or 2872?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*y**2 - 13*y**2 - 95*y**2 + (-y + 3*y - y)*(3*y + 0*y - 2*y) + 3 - 3 - 2*y**2 + y - y + 2*y**2)*(-2*y**2 + 4*y**2 - 4*y**2)*(-y - 3*y + 3*y).\nAnswer: -108*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924 = 41*n - 44*n. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-29 + 63 - 18).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/(176\/12)*((-392216)\/(-3) - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211253551.\nAnswer: 23, 1601, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 523, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*v - 1312 + 1289, -4*z - 2*v = -40 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -s + 4. Let j be -2*6\/(3\/s). Let f = 316\/2975 + 2\/175. What is the third smallest value in -0.1, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43036 + 89903 = 98*u - 40941. Calculate the smallest common multiple of u and 96.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4 = -z, -22*z + 21*z - 4 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 177217 divided by -9?\nAnswer: -177217\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**4 + 20*x**3\/3 - 86*x + 331. What is the derivative of b(a) wrt a?\nAnswer: 12*a**2 + 40*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-733)\/13927)\/((-1)\/2)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/21 - (-7 + (10 - -3))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-7 + -1 - (46 - 49))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/7 - 320*r - 4472\/7 = 0. Calculate r.\nAnswer: -1118, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 2*w**2 + 4*w + 3. Let p be s(-3). Suppose 5*y - 2*x - 245 = -0*x, -4*x = p. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*v**3 + 29*v**3 + 100*v**3.\nAnswer: 328*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*x + 1307 = 0, -2*p - x + 893 = -0*x. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 51285 = 14*o. Let m(u) = 2*u**3 - 20*u**2 + 2*u + 22. Let q be m(17). Suppose 0 = w + 4*w + 4*n - o, 2*w + 2*n = q. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(-3*(-2*sqrt(315) + sqrt(315)))\/sqrt(5) - ((1*sqrt(252))\/sqrt(4) + sqrt(2268) + 0 + sqrt(2268) + sqrt(2268))*5)**2.\nAnswer: -681408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145674 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/18 - 800\/12. Let j = 172 - 101. Let m = y + j. Solve -5 + 25 = -m*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 1:40 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -48b (base 16) in base 13?\nAnswer: -6b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 - 11*f - 2. Let y be c(5). Let m = 46 - y. Does 28 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from {c: 4, h: 15}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.2 times 4?\nAnswer: -96.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.49786 plus 36.9?\nAnswer: 139.39786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 15*z**3 - 11*z**2 - 11*z. Let l = 21 + 12. Let x be l\/(-2)*(-6)\/(-9). Let s(u) = 8*u**3 - 6*u**2 - 6*u. Determine x*s(c) + 6*a(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(9) - (sqrt(36) + sqrt(9))) + -3 - 6*(sqrt(17) + (sqrt(136)*2)\/sqrt(8) + sqrt(17)))**2 + (5*sqrt(153)*3)\/((2*sqrt(72))\/sqrt(8)).\nAnswer: 309*sqrt(17)\/2 + 40853\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 9*s - 3*s)*(s + 2*s**3 - s) + (s**2 + 3*s**2 - 2*s**2)*(7*s**2 - 19*s + 19*s).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + a. Suppose 0 = -j + 3, 5*f - 3*j - 4 = -j. Let k be (-27)\/21 - 4\/(-14). Let y = f - k. Let c(b) = -2*b**3 - 2*b**2 - 3*b. Give y*m(n) + c(n).\nAnswer: -2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-35) - 172\/(-14). Suppose -d - 30 = -2*t. Let r = t + -13. What is the smallest common multiple of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -9357, -6 in descending order.\nAnswer: -6, -9, -9357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -22*g + 69. Let h = -3751 - -3754. Determine s(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/88 and 31\/14971184.\nAnswer: 164683024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362238628 to the power of 1\/4, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/19, 2\/13, -3\/2, 2\/3, 2533, 2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*l - u, 2*l - 2*u = 4 - 0. Let i be (15 - l)*1600000\/12. What is i rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.30774926 to 1 decimal place.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1123 (base 11) to base 12.\nAnswer: -a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 109061920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -563 - 702*s**2 + 1134 - 573 - 86*s**2 to g + z*s + p*s**2 and give p.\nAnswer: -788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -4. Let n = 2 + -1.2. Let x = n + -0.4. What is the closest to d in -1\/7, x, -0.04?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 4045490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/14055 and 79\/33429.\nAnswer: 156614865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 46. Suppose 50 = -193*x + 198*x. Solve -2*j = -w*j - x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 16 - -44 - 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z + 25. Let s be q(-11). Suppose -x + 3*x = 68. What is the greatest common divisor of x and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/3 - (-6)\/(-18). Let f(p) = 123*p - 1. Let c be f(k). What is the tens digit of c\/25 - (-4)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -15a0?\nAnswer: -1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 870*p + 1 + p**2 + 1 - 3 + 2*p**2 - 616*p to the form n*p**2 + y*p + r and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025 - 112?\nAnswer: -112.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 1691*z - 144089. Determine j(-90).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21049640\/221 + 95247. What is the common denominator of a and -40\/13?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-3*s + 2*s - s) + (2 + 5 - 4)*(1 - 2*s - 1).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 2*s + 5*s)*(3*s**4 - s**4 + s**4) - 4*s**5 + 6 - 6 + 2*s**5 + 0*s + 0*s + (-s + 3*s + 0*s)*(-s**4 + 0*s**3 + 0*s**3) - s**5 + 0*s**5 - s**5.\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -20551931989411.\nAnswer: 20551931989408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 6, -13 in descending order.\nAnswer: 6, -13, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 762 = 3*q, -142*i + 774 = 3*q - 145*i. Suppose 5*g + 4*s = -236, 3*g + 4*s = -56 - 92. Let d = q + g. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 - -5) + 5 - 8) + (1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8253 and 70.\nAnswer: 82530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*s**2 + 4*s**3 + s**3 - 48*s**2 + 24*s**2 + 35*s.\nAnswer: 5*s*(s - 7)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22249651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9794 - 4947. List the prime factors of r.\nAnswer: 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 2. Let a be c(1). Let m(j) = j**2 - 7. Let h be m(-5). What is the units digit of h\/(-24) - 79\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 f when three letters picked without replacement from {i: 14, f: 4}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t. Let y(k) = k**2 - 8*k + 4. Let p be y(8). Suppose 0 = -p*w - t*w - 4. Let r(d) = 5*d**3 + d**2. Calculate r(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {g: 2, o: 1, q: 6, y: 7, e: 4}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 z when four letters picked without replacement from {l: 3, z: 3, i: 7}.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45.9373 + -0.0373. Let q = -46 + m. Let y = -4.4 - -4.9. What is the third biggest value in q, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4721, 5010, 5295, 5576?\nAnswer: 5853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528*u + 524*u + 56 = -4*o, 0 = -4*u - o + 51. Solve u = -27*m + 14*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 81 and 5843.71?\nAnswer: 5762.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18962122?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 6. Let g(u) = 1. Let t(l) = a(l) - 6*g(l). Let v(d) = 18*d. Calculate v(t(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/14 and 35\/902.\nAnswer: 6314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybss when four letters picked without replacement from {y: 7, s: 4, b: 7}?\nAnswer: 49\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -15*i. Let b(m) = -893*m + 434*m + 448*m. Calculate n(b(f)).\nAnswer: 165*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c**2 - 41*c - 802. Does 56 divide n(53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 + 0*k**4 + 3*k**4)*(-1 - 2 + 1 + (1 - 2 - 2)*(-4 + 2 + 0)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/1367 and -89\/10936.\nAnswer: 10936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 10*f**3 + 14*f**2 + 29*f + 8. What are the prime factors of z(10)?\nAnswer: 2, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30\/37 + -238\/111. Let w = 0.8 - 1. Let l = w - -0.5. What is the second smallest value in -2, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdbx when four letters picked without replacement from bxbdxbdbxdxbddb.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 140, 2\/15, -7, 1\/3, 3\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 124*o**2 - 6*o - 147. Let u be (-5)\/10*1*12. Let c(k) = -247*k**2 + 13*k + 297. Let w(j) = u*c(j) - 13*d(j). Differentiate w(p) with respect to p.\nAnswer: -260*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 797956 + 3?\nAnswer: 797959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*w - 74*w = 66*w + 1194 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1784 - 1736. Calculate the highest common divisor of 1704 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2858520 and 37184?\nAnswer: 22868160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130 (base 6) in base 9?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680221?\nAnswer: 17, 40013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 1\/5*g**2 - 2\/15*g**3 - 1\/10*g**4 + 20 + 2\/5*g. Suppose s(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 10*l. Let w be f(-6). Let z = w + -21. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175 divided by 1\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - m - 7 = 0, 0*z + 5*m = 2*z - 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 98 = -4*r - 5*x, 0 = 4*r - x - 88. Let 18*j + 3*j**2 + 7*j**2 - 7*j**2 + r + 5 = 0. Calculate j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 4*x**2 + x + 1. Let m be r(4). Let f(g) = -g + 4 - m - 6. Suppose 2*o + 0*o + 10 = 0. Give f(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2218554*i - 1 + 1 - 17607122*i.\nAnswer: -19825676*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h + 212 + 55 = -8*g + 3*g, 10*g + 10 = 4*h + 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21317\/16422 - -16\/2737. Find the common denominator of 23\/9 and y.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**3\/6 + 30*q**2 - q. Let d be s(0). Suppose -3*o + 0*a = a - 164, d = o - a. What is the highest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Simplify (-2*(2 + sqrt(891) + 0 - sqrt(891)) + (2*(sqrt(891) + 1) - (5*(0 + sqrt(891)) + sqrt(891))))**2.\nAnswer: 144*sqrt(11) + 14260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j + 3*j)*(2*j + 0*j + 0*j) + (-j**2 + 7*j**2 + 3*j**2)*(0 + 1 - 2).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**3 - 6*n**3 + 5*n**3 - n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2159 - 2467 = 22*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 1, u: 1, g: 1, j: 3}. Give prob of sequence ju.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*f - 39850, 0 = 28*g - 24*g - f - 31855. Calculate the remainder when g is divided by 249.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 209\/1088640 and 59\/425600?\nAnswer: 103420800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/1122*340 + (-66)\/3 + 2.\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-40 + -44 - -128)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 216652299 to the nearest one million.\nAnswer: 217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = 3*z - 2*j, 5*j - 355 = -2*z + 18. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 956 = -4*j + 1002 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5*d - 22107 + 217863, -5*d - 293609 = -3*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11705117 (base 9) in base 11?\nAnswer: -3265180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2)\/(95\/10 - 10). Suppose z - 1368800 = 2*w, -61*w + 65*w - m*z + 2737600 = 0. Round w to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(9\/11)\/o*o*o*o)**3)**(-2\/3) assuming o is positive.\nAnswer: o**(-106\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + u**3 - 5)*(5 - 4 - 2 + (2 + 4 - 4)*(4 - 4 + 1) + 4 + 1 - 3).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18)\/(-19*1 - (-33423)\/1755).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2904299 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11330238240 rounded to the nearest one million?\nAnswer: -11330000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 2409*p + 2403*p - 15.\nAnswer: -6*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - 2*v**2 + 4*v + 18. Let j(q) = -q**3 - q**2 + q. Let h(p) = 3*j(p) - l(p). Let b = 9696 - 9696. Determine h(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(-3 + (sqrt(120)*-1 - sqrt(120))\/(sqrt(10)*2*-3)) + 0.\nAnswer: -2*sqrt(3)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:19 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 36*m**2 - 284*m - 162. Give x(9).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2942667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/8 + 117*b**2\/8.\nAnswer: 3*b**2*(b + 39)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -127125566, -254251134, -381376704, -508502276?\n\"Answer: -t**2 - 127125565*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 129*j**4 + 17*j**3 + 34*j + 324. Let x(i) = -43*i**4 - 6*i**3 - 12*i - 108. Let z(c) = 6*l(c) + 17*x(c). Differentiate z(o) with respect to o.\nAnswer: 172*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285284 is divided by 715?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 62626324, 62626328, 62626332, 62626336, 62626340, 62626344?\n\"Answer: 4*r + 62626320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23638387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q. Let i(v) = v**2 - 4*v + 4. Let b(c) = -c**2 + 3*c - 3. Let r(n) = -4*b(n) - 3*i(n). Give r(w(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -207*w**8\/56 + w**4\/4 + 22*w**2 + 231*w. What is the third derivative of p(n) wrt n?\nAnswer: -24840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114397, 227865, 341333?\nAnswer: 454801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 2*f**6\/15 + 23*f**5\/10 + 79*f**4\/6 + 82*f**3\/3 + 24*f**2 + 5*f - 10. Solve s(x) = 0.\nAnswer: -6, -4, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 + 54.43.\nAnswer: 54.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, 0.3, -0.07, -0.01, 20, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000709 rounded to seven dps?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*b - 8190 = -137*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4303, -4039, -3627, -3091, -2455, -1743, -979?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5219*n + 5619*n**3 - 108069 + 108069 wrt n?\nAnswer: 33714*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Suppose c*n + 3*h - 24 = -0*n, 0 = -n + 3*h. Let k = n + -3. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 6*s - 4. Let b be z(4). Suppose m + j = 9, -2*j - 9 = -2*m + m. Let t = b + m. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374002, 748002, 1122002, 1496002?\nAnswer: 1870002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 14*u + 22 in the form p + t*u and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 4:44 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1218\/(-116)*(-4)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -56*h - 1727. Let f be m(-32). Calculate the highest common factor of 2665 and f.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33579.\nAnswer: 3, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -24. Suppose -3*k = -c*m - 0*k - 11, -20 = -4*k. Solve 0 = -2*v + 4 + m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2 - 36*l - 10. What is d(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 0.02, -124.7, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, f: 4, q: 2}. Give prob of picking 1 f and 1 x.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2109 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -3691, 7, 0, 1 in increasing order.\nAnswer: -3691, -5, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) - (-182)\/39.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2073631, -8294536, -18662713, -33178162, -51840883?\n\"Answer: -2073636*n**2 + 3*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4823 is divided by 156.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53*888533.\nAnswer: 47092249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*j - 5 = 0, 0 = -0*w - 4*w + j + 7. Calculate the greatest common factor of w and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/((-31)\/(-62)*2\/(-9)). Solve -5*u - 7 = -h, -4*u - l*h = -6*h - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 + 2 + 3*r - 3*r**2 - 286*r**4 + r**3 + 287*r**4 as x*r**4 + m*r**2 + v*r + s*r**3 + c and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 8:00 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*b**3*i**3 - 57*b**3*i**2*n**2 - 3*b**3*i**2*n - 447264*b**2*i**3*n**2 + b*i**2*n + i**2*n - 17134*i*n**2 wrt i?\nAnswer: 138*b**3 - 2683584*b**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2 + -3 + (-46)\/(-16)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.08078, -1 in ascending order.\nAnswer: -4, -1, 0.08078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3312 and 241155?\nAnswer: 3858480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*8\/(-14)*15\/45*-21?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 7\/(-4))\/((-81)\/270). What is the closest to 2\/3 in w, 0, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2778857 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)\/n)**(-2\/5)\/(n**(-4)\/(n\/(n*n**(-2\/9)\/n*n))) assuming n is positive.\nAnswer: n**(214\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v = 2*g + 135, g + 66 = v. Which is bigger: g or -70?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 + -10.85. Let x = 8 + l. Let u be (0 + 1)*(-6)\/6. What is the nearest to u in -0.5, x, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**2 + k. Let d be m(-1). Suppose -d*r + 5*c = c - 68, c = 2*r - 33. Solve 4*u + 2*h = -r, 2 = 5*u - 3*h - 0*h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((-2254)\/(-1757)) - (-10)\/(-115).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.88 + 83.88. Let d = j - 80.97. Which is the nearest to 1\/2? (a) 2\/9 (b) -1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 36*s**2 + 636*s - 637. Determine b(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(288)*-1*3 - ((1*sqrt(288) - sqrt(288)) + 5 - sqrt(288))).\nAnswer: 30 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*i - v, 266069*i + 2*v = 266067*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1432887 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 15*i**2 + 5. Let r be f(-15). Solve -r*o + 2*u + 5 = 0, -3*o + o + 2*u - 4 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130201741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 50, -1.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/((-2)\/24). Suppose 0 = -t + 1, z*f + t = f + 21. Solve 4*j - 2*j + 13 = -3*w, -f*w - 14 = 2*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271487787 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29774416.\nAnswer: 2, 7, 29, 89, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54535351 (base 6) to base 8.\nAnswer: 6160123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:37 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 24*a = -90. Suppose -2*j - j + 303 = -q, -a*j + 497 = q. What is the greatest common factor of j and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*z**2 - 1260*z + 595350.\nAnswer: 2*(z - 945)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 3*f)*(-f**4 + 0*f**4 - 4*f**4) + 24 - 23*f**2 - f**5 + 23*f**2.\nAnswer: -11*f**5 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*v**3 - 28*v**3 + 10*v**4)*(3*v - 4*v - 2*v + (0 + 1 - 2)*(-v - 2 + 2)).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 3, -5 in increasing order.\nAnswer: -66, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1816403.778 nanoseconds to weeks.\nAnswer: 0.000000003003313125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 608 by -3.\nAnswer: -608\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(4 + -4 + 2) - 0. Solve 11*p - b*p - 6 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**9\/30240 + n**6\/720 - n**5\/20 - 5*n**2. Let x(g) be the third derivative of q(g). Differentiate x(u) with respect to u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/((-10)\/15). Does 14 divide 7\/((-14)\/(-200)) - (-2)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -201*i**3 + 101*i**3 - 3 + 103*i**3 + (3*i - 4*i + 2*i)*(-2*i**2 + 3*i**2 + 2*i**2).\nAnswer: 6*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108280 + 108280 - 4*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 274, -1, 2, 0 in descending order.\nAnswer: 274, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) 0.5 (c) -1.9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - (-21 - (-28 - 22))) + 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*n - 4*z, 4*n + 0 = z + 6. Let t = -110 - -110. Suppose -n*x + t = 2. Put x, -2\/9, 1\/3 in decreasing order.\nAnswer: 1\/3, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*y = 115*y + 60. What is the lowest common multiple of 2450 and y?\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104 - -122) + 1 + -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 22 = -3*b - 0*b, 5*f + 6 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73475 and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303300210 (base 4) to base 14.\nAnswer: -c4b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - (7 + -7) - -522.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -312, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/500619 and -71\/6007428.\nAnswer: 6007428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12672*g**2 + 25322*g**2 - 12648*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-1)*1 + -3. Let x = h + -13. Calculate the highest common factor of x and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 4*j - 120. Suppose 2*p + 351*d + 34 = 347*d, 3*p - d = -23. Calculate n(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6985499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(80) - sqrt(80)*-3) + -4 - (2 + sqrt(80) + sqrt(80)*3)) + (sqrt(80)*-1 + 2 - (sqrt(80) + -2*sqrt(80) + 4 + sqrt(80) - sqrt(80)))*2)**2 + 5.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*s + 7*s. Let r = s - -3. Suppose 2*t = t + r, 9 = 4*p + 5*t. Let d(g) = 3*g + 5. Determine d(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**2 - 2*w + 1. Suppose -4*o - 16 = 0, 5*c + 2*o - 79 - 28 = 0. Suppose -36*d = -c*d + 26. Determine u(d).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 + 6*k**2 - 20. Let x be t(-6). Solve 0 = 3*h - 631 + x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y)\/y)**15*(y**1)**(-50) assuming y is positive.\nAnswer: y**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 512, 501, 490, 479, 468, 457?\n\"Answer: -11*s + 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -9*i**2 + 3*i + 3. Let q be u(-1). Is q less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2796 is divided by 223?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + o = -o + 1022, 1007 = 4*f + 5*o. List the prime factors of f.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*x - 2*x + 24, -u - x = -14. Suppose 2*g = -0*g. Suppose -a = -g*f + 3*f - 23, -f = -4*a + 79. Solve -i = -5*l + a, 4 = -4*i - u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139.2 - -139. Is 79 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 7987421?\nAnswer: 31949684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 300\/4109 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 3*g - 4. Let n(u) = u**3 + 3*u - 3. Let t be (-30 + 18)*(-3)\/4. Suppose -4*a + t*a = -25. What is a*r(x) + 6*n(x)?\nAnswer: x**3 + 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 12:15 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*n + 23 = 5*o, 0 = 2*o - 4*n + 4. Let j(t) = -t**3 - 10*t**2 - 11*t - 10. Let v be j(-9). What is the highest common factor of v and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4315.852 minutes to seconds.\nAnswer: 258951.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/8)\/1 + 41\/(-164) - 18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 122391.01\nAnswer: -8567.3707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3642, 3347, 2764, 1893, 734?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 315 = -10*b. What is the remainder when 34 is divided by -2*b\/(-12)*(-2)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17140 - -634. List the prime factors of t.\nAnswer: 2, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 k when three letters picked without replacement from ykkavqyyfyayyafky.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3399844.4 times 1.8?\nAnswer: -6119719.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2093 - 1447*f + 2093 to the form j + g*f and give g.\nAnswer: -1447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6 - 2 + 4*v**2 - 88*v + 78*v. Let q be r(2). Factor 16\/5*x**2 - 12\/5*x**4 - 16\/5*x**3 + q*x + 0.\nAnswer: -4*x**2*(x + 2)*(3*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let a be n(-6). Let o be a\/(-807)*(-815)\/8. Let g = 2\/269 - o. Find the common denominator of 63\/20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*j**2 + 177*j**2 + 191*j**2 - 549*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*u + 128*u + 15*u to the form b*u + o and give b.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.065, 1\/3, -0.33, -2\/259?\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -84 + 87 - 2179*v + 851*v in the form r*v + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 551088 and 244928?\nAnswer: 2204352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 11*n**2 + 16*n + 5. Let p(g) = -4*g**2 - 5*g - 2. Let m(o) = -8*p(o) - 3*x(o). Calculate m(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 4*w - 2. Let z be u(3). Let a be z\/(-1 + 15\/12). Differentiate a*l - l - 1 - 5*l with respect to l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45016 (base 11) to base 16\nAnswer: -fed4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315135 = 9074*p - 111343 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -827\/217?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -20) + (4 - (0 - (-9 + 8))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 2017\/3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-9)*3*(-354)\/3422.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -16. Calculate the greatest common divisor of z and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v - 39 + 39.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3885325381 to the nearest integer?\nAnswer: 62332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 183400 (b) -9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14795 times -0.03\nAnswer: -443.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 95*l - 460. Let n be u(-5). Solve -n*r - 46 = -17*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z - 2*z)*(-2696 + 41 - 1816)*(-1 - 3 + 5).\nAnswer: -4471*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3701657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 5*n + 151. What is the third smallest value in 5, -1\/5, n, -9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58894 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 185346, 185345, 185344, 185343, 185342?\n\"Answer: -f + 185347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42740830 to the nearest integer?\nAnswer: 6538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 41705?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 14*l**2 + 7*l - 6. Let y be a(-4). Which is smaller: 631\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.36 + 1.4096. Let x = -0.036 + w. Round x to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Suppose h = -4*w + 3*w + 25. Solve -g - s = 2 - 3, -g + 5*s + w = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = 5*y - y. Suppose 2*h - 5 = -y. Let l = -20 - h. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -191013, 567, 2 in descending order.\nAnswer: 567, 2, -1, -191013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15\/151 - 12745\/906. Find the common denominator of g and (-970)\/30*(9\/(-10))\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301214.\nAnswer: 2, 150607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57 - 26?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 501\/1169 - (-2)\/(-21)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*o - 26 = 0, 13 + 3 = 4*o. Let u be (-6)\/(-3)*(-3)\/(-1). Suppose z*n - u = -n. Let d(p) = -p - 2. Calculate d(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (75\/(-25))\/((45\/20)\/3). Put 1, b, 9, 10, -1 in decreasing order.\nAnswer: 10, 9, 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 166521*a + 12140046.\nAnswer: 3*(a - 55434)*(a - 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - j**2 - 22*j + 9. Let f be d(5). Let p(v) = -v. Let c(b) = 7*b + 1. What is f*c(n) - p(n)?\nAnswer: -6*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -270 + 273. Let v(h) be the first derivative of -2\/27*h**r - 1\/9*h**2 + 0*h - 1. Solve v(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2 + 2*i - 12 = 0 for i.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 + 164 = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -29. List the prime factors of (-30)\/i - (-133)\/1.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 7 - 69*v + 63*v - 7. Let l be g(8). Sort -0.5, 1\/5, 2\/17, l in decreasing order.\nAnswer: l, 1\/5, 2\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4*(-2)\/16)\/(2\/(-1292)). Let h = f + 728. Suppose -3*r = -5*k - 243, 3*r = -2*r + k + h. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2. Let s(y) = -3*y - 4*y**2 - 3 + 2 - 2. Suppose u = -3 - 1. Let x(z) = -5*z**2 - 4*z - 4. Let l(d) = u*s(d) + 3*x(d). Determine v(l(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7744\/553 bigger than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 19446, 1\/11, -5\/8, -0.2, 3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339, -338, -337, -336, -335, -334?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -4, 13, -3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3676539909 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - d = -8, -5*t - d = d - 22. Calculate the greatest common factor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.18. Let m = d + 0.48. Let z = 179\/1045 + 1\/95. Which is the nearest to 2\/5? (a) m (b) z (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116736 by 6.\nAnswer: 19456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 69*s**2 - 7*s - 7. What is the remainder when d(-1) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + k**2 - k**2)*(-3*k + 6*k + k) + 0*k**3 + k**3 - 2*k**3 + (-4*k**2 + 0*k**2 + 2*k**2)*(k - 3*k + 4*k) + (6*k + 9 - 9)*(-28*k + 28*k - 17*k**2).\nAnswer: -115*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 2\/5, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 156 + 10?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2*h**2 + 93\/2 - 1\/4*h**3 + 37\/4*h.\nAnswer: -(h - 3)*(h + 2)*(h + 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**3 - 2*t**2 + 2*t**2)*(629*t + 185 - 18 - 614*t) to the form w + o*t**2 + d*t + r*t**3 + v*t**4 and give r.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from {r: 2, y: 6, s: 2, i: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 - 3*u + 2. Give p(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyyyyyw. What is prob of picking 2 y?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.4 (c) -1\/38387 (d) 24 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-3)*(-42)\/49\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*g + 1 - 63*g - 54*g.\nAnswer: -4*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 219.8.\nAnswer: 109.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5929?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 2*n + 1. Let u(i) = -i**3 - 10*i**2 + 14*i - 14. Let y(h) = 2*d(h) + u(h). List the prime factors of y(-13).\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -2 - (-163 + 151)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 14 = -7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14027 + 1)\/(1*((1 - -9) + -8)). Calculate the greatest common factor of 84 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o - 25. Let x be d(12). What is the third derivative of -21*r**4 + x*r**4 - 32*r**2 + 1 - 1 wrt r?\nAnswer: 624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2200)\/(-80))\/(((-9)\/(108\/(-3)))\/(1\/(-2)))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8832 plus -2763932368?\nAnswer: -2763932367.1168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2552 + 17166 = 339*n + 1071*n - 2306 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5997 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29645871 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9*m + 11. Suppose 10*j - 15*j - 20 = 0. What is the remainder when c(j) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199453867*t**2 + 281234*t + 511 wrt t.\nAnswer: -398907734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 518.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21385 divided by -1\nAnswer: -21385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3763, 7653, 11555, 15475, 19419, 23393?\nAnswer: 27403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - 1 + 1 + ((6 + 3 - 1)*(5*x + 3*x + 13*x) + 1 + 2*x - 1)*(-3*x + 0 + 2*x - 2).\nAnswer: -169*x**2 - 340*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaitauvifiiiatiiiiv. Give prob of picking 1 i, 1 a, and 1 v.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and ((54 - -6)\/2)\/2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000501 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.18698 milligrams to tonnes.\nAnswer: 0.00000000518698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 173*v + 610 + 209 + 87*v + 85*v to the form g*v + o and give o.\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 8 + ((-6)\/(-3))\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 - 0.0347?\nAnswer: -276.0347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 249*m**3 - 258*m**2 - 1485*m + 54 = 0?\nAnswer: -2, 3\/83, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3.4, -2\/3, 13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 1, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 7*l - 16. Give q(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40080 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 344 - 340. Solve s + 21 = -z*g + 5, -4*g + 4*s = 36 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 1260661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -293 + 301. Let l be ((-11)\/((-308)\/w))\/(2\/2). Factor l*x**2 + 0 + 0*x.\nAnswer: 2*x**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1\/7)*b))**(-27\/7)\/(b\/b**(-8\/5)*b*b\/((b\/b**1)\/b*b)) assuming b is positive.\nAnswer: b**(-1262\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9407*b - 10852. Is d(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**3\/2 - 1379985*j**2 + 190442759760*j - 1904289601600 = 0. What is j?\nAnswer: 10, 275992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 - -83 - ((-1 - -3) + -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/10)\/(8\/((-480)\/54))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282230 and 25804506.\nAnswer: 4342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1071 + 708. Let l = -91 - s. Let z = l + -272.000294. What is z rounded to five decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*o + 149*o + 4*s = -17, -70*s = -2*o - 60*s + 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.124 to the nearest integer.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1088 + -714. List the prime factors of n.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-388)\/36 - 4\/18. Let x(a) = a**2 + 3*a - 9. Is x(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t - 0*t + l, 5*t - 11 = l. Let p(v) = 3*v**2 - 3*v + 2. Determine p(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 l when three letters picked without replacement from uueuulieiiiuvqvvuiuv?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -8*u**3\/3 + 10. Let o(p) = -2 + 2648*p**2 + 2 - 2658*p**2. Calculate j(o(l)).\nAnswer: -800*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 14*h - 12. Let l be y(-13). Let j(b) = -6600001*b**2 + 2*b - 1. Let p be j(l). Round p to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 0 + 15*u**2 - 2 + 0*u**2. Let g(w) = w - 14. Let h(y) = -5*y + 77. Let n(p) = 22*g(p) + 4*h(p). What is n(o(b))?\nAnswer: 30*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 (base 13) in base 9?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1035)\/(-20) - 3\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3932668301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Suppose 289 + 200 = 5*j - 2*t, -5*j - b*t = -501. Calculate the remainder when j is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m**3 - 4*m**3 + 4*m**3)*(-2 + 4 - 3)*(-2 + 2*m + 2 + (-4 + 2 + 4)*(-5*m + 0*m + 3*m))*(0 + 1 + 1)*(-108 + 108 - 41*m).\nAnswer: 1148*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -0.458026?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11 + 2 - -3 - -3. Let t be w*4\/(-12) - -4. Let g(m) = -2*m**3 + 3*m + 7 - 6*m**2 - 2*m**3 + 5*m**3. Determine g(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 111*o**2 - 108*o - 286. Give a(112).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 24 = -q + f, 4*q - 32 = 4*f. Solve q*u - 32 + 12 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/6*(12\/5)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 55688026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -433450, -433450, -433462, -433492, -433546, -433630?\n\"Answer: -z**3 + 7*z - 433456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2) - (sqrt(22) - sqrt(792))\/sqrt(11)).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1. Let d(h) = h + 1. Let s(u) = -5*d(u) + x(u). What are the prime factors of s(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 2) + (5 - 32 - -14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559*w - 3120 = 6942 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13*z**2 + 344*z - 159. Give b(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -78*u + 4. Calculate the remainder when s(-1) is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372.915647 rounded to 0 dps?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -4)*(0 - -36). Let n = p + -45. Calculate the highest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*g - 28. Suppose 297 - 15 = g*o - 3*k, 5*o = -k + 343. What are the prime factors of o?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 42. Suppose -2*o = -3*o + 4*g + 33, z = -o + 5*g + 36. Calculate the remainder when o is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35953*-0.26.\nAnswer: -0.0934778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/9 + (-56)\/15 and 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6608.78951 rounded to the nearest ten?\nAnswer: -6610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256225 divided by 1385.\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 350825.3 grams in milligrams?\nAnswer: 350825300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*h - 13, -4*s + 32*h - 8 = 29*h. Solve 0 = l - 4 - s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - d**2 + 2*d**2)*(915*d + 1040*d - 1775*d).\nAnswer: 180*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (449\/4490)\/((-1)\/7)\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -62*c + 64*c. Suppose 4*j = c*r - 76, 5*r + 4*j - 13 = 64. Solve -r*p - 2 = -16*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130\/23 - -1064\/115. Calculate the common denominator of -3*(-105)\/153*3\/18 and h.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2756 - 2747. Solve 5*r + 5 = -2*w, s*w - 2 = 2*r + 14*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 - 1a83?\nAnswer: -1a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (-44 - -4) + 66.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3 - 1532994*t**2 + 3*t + 1532994 = 0 for t.\nAnswer: -510998, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51, 126, 201, 276, 351?\n\"Answer: 75*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1439 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 divided by 447036.\nAnswer: 67\/447036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3148 rounded to 1 decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -788*o - 1312. What is the thousands digit of m(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3293 and -2009.1167?\nAnswer: 1283.8833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 3\/7, 26, 0.5?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4191979016?\nAnswer: 2, 523997377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 341 = -143. List the prime factors of 1506\/x + (-2)\/(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11211639041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2 (b) -2\/7 (c) 17.9 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81328 = 5*z + 3*w, 3*w = -10*z + 8*z + 32533. List the prime factors of z.\nAnswer: 5, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24090*s - 50037?\nAnswer: -24090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hehh when four letters picked without replacement from {h: 3, f: 1, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -1 - 0) + -1 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/17 - 22332*l\/17 + 89296\/17.\nAnswer: 2*(l - 11162)*(l - 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*w**3 + 42*w**3 + 87*w**3)*(3 - 5 + 0)*(7 + 6 - 16) in the form v + u*w**3 + t*w + g*w**2 and give u.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 - 140.1. Does 98 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*u - 128*u + 8640 = 135*u for u.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 + 101. Solve w*a = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 19*q**2 + 5*q. Let h be j(-14). Let f = h - 5175. Let z = -407 - f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -4, 0.084, 1, -0.343?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-920)\/414)\/(8\/(-6)))\/(3\/(-9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 40. Suppose 0 = 4*s + 3*v + 3, 3*s + v + 9 = 13. Solve -s*o + 22 = -4*u, n*u + o + 12 = -3*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 91*q**2 - 3185*q - 117. Let o be w(118). Let p = -6.3 - -6. What is the nearest to -2 in o, 1\/4, p, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*s - 5*n + 5630 = 0, 3274*s - 3279*s = n + 62 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 674*p - 665*p - 17712. What is the highest common factor of p and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44785 - -44628. Let k = -32\/11 + 30\/11. What is the closest to c in 0.4, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 9.3. Let z = -6 - y. Let f = -169 + 1185\/7. Which is the closest to 0.1? (a) 3\/2 (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 3 - 3. Suppose -4*x = -2*x - 6. Calculate j(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2130456 - -16?\nAnswer: -2130440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145987, 145881, 145597, 145045, 144135?\nAnswer: 142777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10878667099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 0*m**5 - 1\/30*m**6 + 0*m + 0*m**3 + 0 - 5\/8*m**4 + 17*m**2. Find the second derivative of c(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.04829094 rounded to 3 dps?\nAnswer: 88.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(2\/29)*((f*f\/(f\/(f*f\/(f**(-2)*f))))\/f*f*f*f)**(2\/45) assuming f is positive.\nAnswer: f**(86\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-15))\/(11\/165). Let a(c) = 11*c + 81. Let l be a(q). Solve 4*k + l = 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 12*j**2 + j + 1. Let z be x(-1). Let a(d) = -d**2 + z*d - 3*d - 5 - 2*d. Is a(4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 51*a**2 - 2 - 45*a**2 + 7. Suppose 2*r - 5*j + 26 = r, -2*r + 5*j - 32 = 0. What is the units digit of n(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -147574 - -221474. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = -u. Suppose -6*g + 5*s + 3579 = -2*g, -5*s = u*g - 2728. Let w = g - -8899. What is w rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 147*j**2 - 3*j - 147.\nAnswer: 3*(j - 1)*(j + 1)*(j + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyct when four letters picked without replacement from yicykkyyityttuyikyt?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -140*o**3 - 2*o**2 + 5*o + 27. Let k be u(-4). Suppose -13*z + 23500 + k = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67528 - 71038 = -45*v for v.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvkje. Give prob of sequence kvje.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11923249 - 21823249. Round j to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 296, 868, -11 in increasing order.\nAnswer: -11, 296, 868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230 - 260 = 10*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110110111000111110 - -1000?\nAnswer: -1010110110111000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 5*g**3 + 3*g**3 + (2*g**2 - 3*g**2 + 0*g**2)*(4*g + g - 3*g) as b*g**3 + r*g + m*g**2 + o and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 1)*(4*d - 6*d + 4*d + 2) + (2 + 7 - 6)*(-8*d + 2*d + 2*d).\nAnswer: -4*d + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8 (b) -917 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 1542*d**2 + 3481. Let q(f) = f**3 - 1543*f**2 + 3450. Let h(p) = 6*q(p) - 7*s(p). Differentiate h(v) wrt v.\nAnswer: -3*v**2 + 3072*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 114 = 3*o + 7, c + 44 = -5*o for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32261?\nAnswer: 32261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3 + 1)\/30)\/((-6)\/(-9)). Which is the biggest value? (a) m (b) 17 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174 + 179. Suppose -12*i - c = -137. Calculate the remainder when i is divided by (2 + (-3)\/2)*8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -16) + 140 + -157\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 13) to base 3\nAnswer: -10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18*1\/(-6)*-4. Suppose 4*j - u - 4 = 0. Suppose -5*k + 4*i = -16, 3*k - 24 + 4 = 5*i. Put j, 3, k in decreasing order.\nAnswer: j, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8*(-16)\/(-28)*(2 - 0).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/47637 + 2905829\/666918. Find the common denominator of 0 + 4\/(80\/3) and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172 and 7998?\nAnswer: 15996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-12 + -3 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70569*t - 65773?\nAnswer: 70569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -945 - -944.993823. What is k rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 92*s + 4. Let z(c) = 87*c + 5. Give 6*p(n) - 7*z(n).\nAnswer: -57*n - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 9:39 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 9:11 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*u - 92*u - 40 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2. Suppose 10*n - 8*n - 16 = 0. Let b(a) = 2 - 2 - 44*a + n*a. Determine h(b(s)).\nAnswer: 1296*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -17 - -17 - 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2296 and -125\/36.\nAnswer: 20664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 4*s + b - 2*b, -12 = 3*b. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 38*u + 26. Let q(f) = -f**2 - 32*f + 22. Let g(l) = -4*p(l) + 5*q(l). What is g(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Which is the closest to -0.8? (a) 3 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2773 + -2768. Suppose 19 = 3*a + 5*b, 2*a - 5*b + 4*b - 17 = 0. Solve 5 = 4*u - 3*l + a*l, 5*l = -r*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 9)*(0*z + 2*z + 0*z).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(6\/(-3)) - 1. Solve x*k = -14 + 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + (-16 - -1))\/(-2). Let n = 52455 - 52341. Calculate the greatest common divisor of p and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*p = 131*p + 76 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + r - 2804, -4*p + 2585 = -r - 219. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/8)\/(-225 - -231)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2663, 223, 4, -5.\nAnswer: -5, -3, 4, 5, 223, 2663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1295 = 91*x + 93 - 345 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 510353.3ns?\nAnswer: 510.3533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -125) + 4 - ((24 - 4) + 1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1239 - -1716. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 + 2883*a - 2883*a.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 - 25344*q\/5 - 19623456\/5.\nAnswer: 2*(q - 13404)*(q + 732)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25428, 101393, 227896, 404943, 632540, 910693, 1239408?\nAnswer: 1618691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 746\/8 + (-2)\/(-8)*-1. Suppose -18 = -q - 3*i, 3*i + 27 = -5*q + x. Let u be (q\/(-9))\/(10\/(-3) - -3). Solve 0 = u*y - 5*y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a - 7*a + 3*a**2)*(11*a**2 - 11*a**2 - 9*a**3).\nAnswer: -27*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**8\/6720 - m**7\/840 - 5*m**4\/6 - 3*m. Let s(q) be the third derivative of i(q). Determine c so that s(c) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52174238 and 927?\nAnswer: 469568142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217451, -434904, -652357, -869810, -1087263, -1304716?\nAnswer: -1522169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0*g + 15. Suppose -a - g = -6*a. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 164970 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5641?\nAnswer: 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126718012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d. Let m(x) = -9*x. Let g(w) = 6*m(w) - 13*z(w). What is the smallest common multiple of g(-5) and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 17*d**2 - 3. Let k be a(2). Suppose 8*r - 13*r = -k. Suppose z - 2 - 2 = 0. What is the remainder when r is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 18?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18242 + -19.84556.\nAnswer: -18261.84556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 4. Let x(y) = 5*y - 5. Let z(g) = 6*q(g) + 5*x(g). Let i(n) = -35*n + 5. Let l(m) = i(m) - 6*z(m). Is l(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-16 - -13) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3123 is divided by 517.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-116)\/6*(-15)\/10 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 138*p - 136*p - h, -4*p - 5*h = -35. Let z(w) be the first derivative of p*w - 6 - 5\/3*w**3 + 0*w**2. Let f(a) = -a. Determine f(z(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, 1 f, and 1 n when four letters picked without replacement from {n: 1, f: 1, l: 1, k: 1, i: 2, w: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -241663 smaller than -241663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -37*f**2 + 705*f - 111. Determine w(19).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/524 and ((-96)\/128)\/(33\/(-38))?\nAnswer: 5764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -226.73 - -226. What is t rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -267 - -318. Determine q so that 45*q**2 + 63*q + 60 + 20*q**3 - 31*q + 17*q + r*q - 15*q**3 = 0.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*f**4 + 60*f**3 + 55*f**2 + 10*f.\nAnswer: -5*f*(f - 2)*(3*f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1453 divide 136826251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 71264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 4 - 4)*(2*p + 3*p - 2*p) - 2 - 2*p**2 + 2 + 0 + 2*p**2 + 0.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 19. Let u(s) = 2*s + 11. Let q(z) = -5*j(z) + 6*u(z). Calculate q(28).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7378425 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*v**2 - 338*v**2 + 15*v**2 as z*v + g*v**2 + c and give g.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 260 (base 15) to base 10\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:08 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 + 16*h. Let s(k) = 5*k**2 - 16*k. Let q(m) = s(m) + z(m). Let a(g) = -547*g**2 + 1. What is a(q(b))?\nAnswer: -2188*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36651 is divided by 308.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**3 + 52*k**2 - 200*k + 33. Give z(5).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 42416 (base 7) to base 11\nAnswer: 7985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -506, -444, -342, -188, 30, 324?\n\"Answer: 2*r**3 + 8*r**2 + 24*r - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108053864?\nAnswer: 2, 13506733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {h: 1, e: 1, r: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157937\/9 + -17549. Which is the closest to h? (a) -1 (b) 6 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**4 + l**2 - 1. Let o(d) = 4*d**4 - 3*d**2 + 1. Let x(y) = -2*o(y) - 6*r(y). Differentiate x(h) wrt h.\nAnswer: -56*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2346, -4717, -7118, -9561, -12058?\n\"Answer: -2*g**3 - 3*g**2 - 2348*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23044, 46085, 69126, 92167, 115208, 138249?\nAnswer: 161290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 410142.3mg in tonnes?\nAnswer: 0.0004101423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1615852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*h**5 - 5*h + 5*h + h + 33*h**5 wrt h.\nAnswer: 520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -36*3*(-5)\/45. Suppose -6 = o*v - 15*v. Find y such that 6\/13*y - 2\/13*y**v - 4\/13 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.409 - 1.4\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 3. Let v be -10*(6\/s - -1). Let k(w) = -w + 7. Determine k(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174024, 174012, 173998, 173988, 173988, 174004, 174042?\nAnswer: 174108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/88 and -255*(-3)\/216 - 8\/(-32)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/3, -0.02, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.9997 - -5. What is l rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 184 = -4*n + 6*n, -2*n + 8 = 0. Let s = -61 + g. Suppose -s*o - 4*o = -0*o. Solve o = -2*k - 6, -3*f + 2*k = -k + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*v - 0. Suppose 11 = -2*i - 5*a - 0, 4*i = v*a + 53. Suppose -8 = -q + i. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -26*2*(-2)\/8. Let y(t) = 6*t**2 - 10*t + 23. Is y(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-3)\/((-12)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u + 54. Let w be (-2)\/9 - 76\/u. Let j = w + -1. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26689, 106788, 240285, 427180, 667473, 961164?\n\"Answer: 26699*r**2 + 2*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) -2\/7 (d) -2488\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 32 - 10 = 0. Let i(f) be the first derivative of 0*f**2 + 1\/3*f**o - 3 + 0*f. Let j(h) = 2*h**2. Give i(j(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 9*u**2 + 7*u + 3. Let l be q(8). Let m be (-1 + 1)*l\/(-10). Solve 3*f - 2*f - 2*a + 11 = m, -2*a + 23 = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1245 - -723. Is -521 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1660, -1460, -1260?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19 + (8 - -10)\/(-9). Suppose -1344 = -p*c + 1444. Calculate the remainder when c is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 2) to base 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z - 684 + 0*z + 684 - 2*z. Let u(v) = 19*v**2. Calculate t(u(o)).\nAnswer: -114*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27704 * -0.17.\nAnswer: 4709.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q + 4*q**2 + 4 + 6 + 0*q**2 - 5*q**2. Let h be d(9). Solve 0 = 3*n - p - h, -3 = 2*p - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + r + 47 = 0, -14391*d + 14388*d + 11*r - 133 = 0 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23446156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/((-6020)\/(-175))*(4\/6)\/((-10)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -169 divided by -38\nAnswer: 169\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4814)\/(-5))\/((-10)\/325). Round m to the nearest one hundred.\nAnswer: -31300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28241225 and 105760?\nAnswer: 3305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*a**3 + 84*a**3 - 2 + 57*a**3 - 176*a**3 + 2.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117\/(-819))\/((-3)\/84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 + -69. Let a be (-1 + 63)*((-119)\/(-2))\/g. Suppose -a = -5*o + 133. Calculate the greatest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 8*u**2 - 7*u - 7. Let q be n(7). Let r be (-2)\/q - 66\/(-14). Suppose 0 = r*a - 336 - 229. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 + 9*p - 14. Calculate w(5).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8762136 millilitres?\nAnswer: 0.0008762136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(2*b + b - b) + (-4 + 0 + 2)*(-50*b + 28*b + 28*b).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 0)\/((-58)\/174))\/(4\/(32\/3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5581.\nAnswer: 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -26*m + 7*m. Let i = 10 - 7. Solve 0 = -m*o - 4*c, i*c = -2*o - 0*c - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-27))\/((-15)\/(-54)*-3*(-251)\/(-5)).\nAnswer: 2\/251","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*s - 3 = -13, -a + 5*s = -25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2618*q = 38*q + 38700 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - c2b73?\nAnswer: -c2b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 10:06 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 6, n + 0 = m - 1. Let v = -5 + m. Is v at least 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 33.3, -0.56, -0.1 in ascending order.\nAnswer: -0.56, -0.1, 4, 33.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 5*h - 2. Suppose -3*p + p - 5*t = 16, 4*p + 2*t + 16 = 0. Let g be x(p). Suppose g*z - 5*z = 0. Solve o = -z*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194410767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -8*s - 6. Suppose -3*m + 4*m - s*l - 92 = 0, -5*m = 4*l - 536. Let b = m + -93. Calculate the least common multiple of 30 and b.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*j - 20 + 188, j = -2*p - 113. What is the nearest to p in 0.4, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)*k)**(6\/25))**(-4\/11) assuming k is positive.\nAnswer: k**(72\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12001000020020 (base 3) in base 14?\nAnswer: -4d9864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -113, 1093, 3157, 6079, 9859, 14497, 19993?\n\"Answer: 429*m**2 - 81*m - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -941 at most -941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, and 2 e when four letters picked without replacement from yxxeytzteyxtyteetyze?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 4:56 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 4*z - 1. Let r(y) = -6*y**3 - 2*y**2 + 1. Let i be r(-1). Determine j(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -29*n - 33*n - n**2 + 40*n. Let z(r) = -3*r. Determine d(z(x)).\nAnswer: -9*x**2 + 66*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 295 + 5*k - 5*k + 5*k - 154 - 219 to c + h*k and give c.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5667346727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/10)\/((-1)\/(-5)). Let y(w) = 2 + 0 - 8*w**3 + 7*w**3 - w + 12*w**k. What is the remainder when 68 is divided by y(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/8*464\/(-87)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q = -46*q + q + 330 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 12 = r + 7*h, -4*h = 5*r + 36 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, 2.8 in decreasing order.\nAnswer: 2.8, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 51*i + 4564. What is h(-89)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.335 - -0.035. What is s rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y = -152. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(76)*6 + 3.\nAnswer: 3 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*448543\nAnswer: 44854.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -118240 divided by -6?\nAnswer: 59120\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 5, -10, -41, -94, -175?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4))**(-7)\/(r\/r**2*r*r\/r**6))**32 assuming r is positive.\nAnswer: r**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*j + 101*j - 62*j**3 + 61*j.\nAnswer: -62*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/8 or -9647495?\nAnswer: -9647495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from {t: 1, x: 4, j: 1, g: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(110)*-1)\/(sqrt(80)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 83337229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -65*q**5\/3 + 3117295*q**4 + 157556710*q**3\/3 + 241257800*q**2 + 483477760*q\/3 - 30696960 = 0.\nAnswer: -8, -1, 2\/13, 143892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/7, -2, -1, -3 in decreasing order.\nAnswer: -3\/7, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) -3 (c) -4\/11 (d) 100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -2\/896735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3882, -15501, -34940, -62259, -97518?\n\"Answer: -10*g**3 - 3850*g**2 + g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*m = 2*c + 15, -5*c - 25 = -4*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1. Let s(p) = -5*p - 6. Let g(m) = s(m) + 6*z(m). Let t(w) = 3*w. Calculate t(g(a)).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 230.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*i**3 - 67851822*h*i**2 - 12613*i**3 - 276 wrt h.\nAnswer: -2*i**3 - 67851822*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**4\/12 - 2*q**3\/3 - 4*q**2. What is the lowest common multiple of 16 and g(8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 73146\/13112 - (-2)\/8. Let r = 12\/149 - n. What is the common denominator of r and -101\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + 1 + (sqrt(175) - ((sqrt(175) + 1*sqrt(175))*-6)**2))*2.\nAnswer: -302400 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f. Let s = 106.23 + -100.23. What is the nearest to s in f, 0.2, -18?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77393.41ml in litres?\nAnswer: 77.39341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 82, -88, -270, -470, -694?\n\"Answer: -t**3 - 163*t + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1*o)**(-4\/23)*(o\/(o**(1\/2)\/o))**25)**(-8\/3) assuming o is positive.\nAnswer: o**(-6836\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35, 46, 51, 50, 43, 30?\n\"Answer: -3*h**2 + 20*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/26334 and -113\/17166842?\nAnswer: 154501578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -18. What are the prime factors of 2*(3 - y)\/1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 (base 9) in base 10?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 3223?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((33\/2)\/(-11))\/(6\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1342, -5317, -11952, -21247, -33202, -47817?\nAnswer: -65092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -68\/2963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 31 + 24 = 0. Let g be 1*-2 - (3 + t). Solve 4*c + g*v - v = -27, -5*c = 3*v + 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 2590224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/112 - (-6)\/16.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28 - -0.56. What is d rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111797593469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3160*q**2 + 259131*q - 908. Calculate v(82).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 0*n + 0*n + (n + 2*n - n)*(2*n - n + n + (-4*n + 0*n + 3*n)*(0 - 2 + 0) + 30*n + 7 - 7 + (2 + 1 - 1)*(-3*n + 4*n + 0*n)).\nAnswer: 70*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + a**2 + 1. Let h be 12\/8*(13 + -11). Let i be 1*(0 - (-1 + -4 + h)). What is s(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + c = 13, 15 = 33*j - 28*j - 54*c + 57*c for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5796 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 895958 not equal to 895972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140233, -140231, -140229?\nAnswer: -140227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 + a**3 + 15*a - 17*a + 5*a**2 + 4 + 2*a**3 + 13*a**2 to z*a**2 + o*a + s + g*a**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -369 + 596. What are the prime factors of a?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -350 - -220. Let a be u\/(-80) + 1\/(2 + -3). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46733873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) - 8\/20. Let c(a) = -a**2 + 5 + 2*a - a**3 + j*a**2 - a. Is 5 a factor of c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48014.97584 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*d + 4, 0 = 2*f - 3*d - 1. Let h be 0 + f + 0 + 0. Let z(u) = u**3 - 5*u**2 - u + 5. Determine z(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 14*n = -4*n + 10. What is the highest common factor of 2770 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -6 + -2 + 1 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.9 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002071812 to 7 dps.\nAnswer: 0.0000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m - m)*(2 - 2 - m) + 8395 - 54*m**2 + 123*m**2 - 14*m**2 - 53*m**2.\nAnswer: 3*m**2 + 8395","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*r + 34*r - 5 - 6 to the form f + j*r and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*h + 34, -4*q - h + 38 - 10 = 0. Suppose 0 = q*u - 2*u + 56. Let i = u - -15. Solve 5*w = -3*b + 14, 3*w = 3*b - 5 - i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.15945077 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.1 or 3.8?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6*v - 8. Let k be 498\/616 + v\/(-7). Let o = k + -3\/11. Does 1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-7))\/(44*82\/(-25256))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -8 - -20) + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15020164 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v - 86. Let g be d(-10). Suppose -4*r + 3*l + 0*l = -44, 3*l = -3*r + 54. Find the second derivative of -r*w**2 - 7*w - 8*w - g*w - w wrt w.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 11:13 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -15. Suppose 0 = -t - 5, -p*a + 3*t + 56 = -3*a. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blclbclbbllb. What is prob of picking 2 l and 2 b?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474116?\nAnswer: 2, 118529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -48. What is the second derivative of -9*m - 120*m**3 + 118*m**3 - d*m wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41632460477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 5*l**2 - 7*l - 5. Suppose 0 = 2*g - h + 4*h + 15, -2*h - 8 = g. What are the prime factors of x(g)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4761732 divided by 159?\nAnswer: -29948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, -0.1, -1\/12, -0.5 in decreasing order.\nAnswer: -1\/12, -0.1, -0.5, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - 10*g**2 - 12*g + 17. Calculate n(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - h. Let x(a) = 8*a**2 - 12*a. Let w(t) = 6*q(t) - x(t). Factor w(j).\nAnswer: -2*j*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213840*d**2 - 235310*d?\nAnswer: 427680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/24*-4)\/(2\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*a + 3113465, -2077*a + 2081*a + 4151292 = 4*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -1) + 1783 + -17 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 863*u**3 - 4*u**2 - 6. Let s(i) = -1726*i**3 + 10*i**2 - i + 15. Determine -5*h(v) - 2*s(v).\nAnswer: -863*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 11990586267.\nAnswer: -11990586274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/2 (b) -1\/4 (c) 40\/13 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 175 - 108. What is the remainder when 199 is divided by b?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 0.0003?\nAnswer: 0.4997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11527, -46120, -103769, -184468, -288211, -414992, -564805?\n\"Answer: m**3 - 11534*m**2 + 2*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*b + 418*b = 164*b - 440 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36170000 rounded to the nearest 100000?\nAnswer: -36200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(-33 + 137663*d**2 + 138289*d**2 - 276499*d**2).\nAnswer: -1094*d**2 - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.5 - -16.50000133. Round f to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62204517.\nAnswer: 3, 767957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50413043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7*r = -9. Which is the closest to -2? (a) 1 (b) -2\/19 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -3. Let w = -3 + 75. Suppose -k*h = -5*h - w. What is the remainder when h is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 50 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 = 31*c - 36*c - 5*y, 4*y = 5*c - 118 - 48 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1960)\/420*3*5\/735?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 - 122. Let t be (-18)\/j - (-975)\/(-4). Let c = 407 + t. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.2 + -16. Let l = 3.79 + x. Let i = -0.54 - -0.34. Which is the nearest to -1? (a) 2 (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -86 (c) 3\/2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96 + -242. Let c = 170 + o. Let k(q) = -q**2 + 6*q + 8. Let y be k(6). What is the highest common factor of c and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1190 - 217*d - 1190 to x + f*d and give f.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t - 14. Let p(n) = -21*n - 47. Let l(g) = -13*m(g) + 4*p(g). What is l(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39008 by 106.\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7681, 8662, 9645, 10630?\nAnswer: 11617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 15*z + 2. Let m = -6 + 5. Let f(s) = 6*s**2 + 2*s + 1. Let v be f(m). Is w(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 6*o + 2. Let j(u) = -u**2 + 6. Let c be j(0). What is the remainder when (2\/(-6))\/((-3)\/27) is divided by w(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**2)*j*j*j**(-2))\/(j\/(j*j**(-1\/3)))**(1\/25)*((j\/(j\/j**(2\/3))*j)**(-44))**28 assuming j is positive.\nAnswer: j**(-154151\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*a**3*s + 101536*a**3 + 2438*a**2*s + 101*s wrt a.\nAnswer: 576*s + 609216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*k - 18*k - 163*k.\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -908\/3129 + 2\/447. Let c = -138 + 1244\/9. What is the second smallest value in 4, c, o, 14?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29246 or 30090?\nAnswer: 29246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -260*(-1 - (2 + -2)). Let j = -429 + p. Let m = 9 - j. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.5 (b) 0 (c) -21477\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 77 = -i. Let r = i - 7. Suppose r*s = 5*l + 33, s = -7*l + 3*l - 18. Put -2, 20, l in increasing order.\nAnswer: l, -2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 9 - 1 - 4*t + 0*t.\nAnswer: -t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10b4 - c?\nAnswer: 10a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-3) + (-2030)\/(-15) is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 4 - 4) + 10 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -202112?\nAnswer: 202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*b = 23, 0 = -7*h - 3*b + 541 - 564 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-11 - -10)) + 9 - -8 - -3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/18*6 + (-15)\/9. Let w = -14.7 - -15. Which is the nearest to 0? (a) i (b) -2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83239 at most as big as 83235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*t - 192, 4*k = t - 0*t - 67. Suppose 2*c + 3*q = 2*q + t, 0 = q - 5. Let d = -10 + c. What is the remainder when 36 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22199671847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 l when four letters picked without replacement from {y: 3, l: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpg when three letters picked without replacement from {n: 4, p: 1, g: 4, c: 1, w: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 16*d**2 - 5*d - 5. What are the prime factors of j(19)?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351, -350, -349?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45*j*w + 93*j*z**3 + 8*j*z**2 - 4*j*z + 4*w*z**3 + 168*w*z - 4*z**2 wrt w?\nAnswer: -45*j + 4*z**3 + 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**2 + 44750*c + 5428605 = 0. What is c?\nAnswer: -8827, -123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 315.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 4*u - 7. Let t be y(-7). Let c be 2 - 1\/(t\/24). Let j = -0.068 + -0.032. Is c smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5043 less than 16885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**5\/30 - k**4\/24 + k**3\/6 + 173*k**2. Determine a(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 27\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/5 of a millisecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = d - 3*d + 24, -3*y + 32 = 5*d. Suppose 6 = -2*c + y*c. Solve -9 = c*a + 5*t, 3*t = -4 - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2358 + 2391. Solve 0 = -l - y, l + r = 3*y + 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -72248\nAnswer: 7224.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u**2 - 4*u**2 + 3*u**2)*(4 - 4 + 2*u**2) + u**4 + 3*u**2 - 3*u**2)*(-189*u - 40*u + 418*u).\nAnswer: -567*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from vjtjcjctjcjttccr?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53855973?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51723.\nAnswer: 3, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dluv when four letters picked without replacement from uuuuuluvbrdbbubbdubb.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 280 + 18?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*u = -5*w + 84, 3*w = u + 50. Let p(d) = 9*d**2 + 2*d - 2. Let l be p(-2). Let t = l - w. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 6*b**2 - 6*b + 12. Give x(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-912)\/2128*140\/(-78). Which is greater: 24.8 or f?\nAnswer: 24.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-3))\/((-2)\/9). Suppose 48*h - 61*h = -78. Calculate the highest common divisor of h and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 9) to base 6\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 894*j**2*t - 2*j*t + 90*j - t wrt j.\nAnswer: 1788*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brzz when four letters picked without replacement from brzz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**3\/3 - 369*z**2\/2 - 157*z - 744. Differentiate u(k) wrt k.\nAnswer: 2*k - 369","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 105, 419, 937, 1653, 2561, 3655, 4929?\n\"Answer: -h**3 + 108*h**2 - 3*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, -28, 7, 0.01, 0 in decreasing order.\nAnswer: 7, 2.1, 0.01, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1500 and 48.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13096 is divided by 218?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3950 - 54*y**2 + 514*y**2 + 1973 + 1977.\nAnswer: 460*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/6 - 2\/3. Let z = 4 + 0. Let c(x) = -x**3 - 57*x**2 + 313*x + 184. Let o be c(-62). Put v, o, z in descending order.\nAnswer: z, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:28 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.21. Let h = b - -0.01. What is the biggest value in 2, 0.1, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**8\/560 + q**6\/45 + q**3\/3 - 2*q**2. Let k(x) be the first derivative of t(x). Find the third derivative of k(i) wrt i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*k - 68*k + 76. Solve 3*m = t + 13, k*m - t - 14 = 2*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -1\/2*b**2 + 2 + 0*b. Let z(s) = -6*s. Give z(f(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) - 5862\/(-18) - 4. Suppose -3*u = 3*b - 933, 4*b = 3*b - 3*u + z. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 1401?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 8*c**2 - 24*c - 8. What is the smallest common multiple of i(-10) and 44?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 38*q**3 + 2*q**2 - 9*q + 11. Let b(j) = -19*j**3 - j**2 + 5*j - 6. Let w(f) = -11*b(f) - 6*m(f). Let p be w(-1). Let o = p - -18. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*(-39)\/(-1248))\/(4\/(-240))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*p - 5 = -o, o + 4*p = 13. Let t(i) = 3*i. Let k(c) = 7*c + 1. Let u(j) = o*k(j) + 6*t(j). List the prime factors of u(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 933914404 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3422441 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5*r**2 - r**4 - 2*r + 7 + 2*r**2 - 5*r**2 to l*r**2 + v*r**3 + p*r + q*r**4 + o and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 15) in base 9?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -160*t**2 + 161*t - 1 = 0.\nAnswer: 1\/160, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 121985489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o + 45. Suppose t + t = 2. Is 24\/(o\/((-5)\/t)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/2 + 15\/4. Let w = -0.29 - 0.01. What is the second smallest value in 0.2, n, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.741 + 0.5485. What is v rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -18*i - 24. What is the tens digit of k(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 10*w**2 + 11*w. Let h be s(11). Suppose -2*q + 2 = -3*l - 12, 2*q - l - 10 = h. Suppose -q + 0 = -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 comes next: -114, -503, -1144, -2037, -3182, -4579, -6228?\nAnswer: -8129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 8*i - 57. Give v(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l + 309. Let u(x) = 3*x + 158. Determine 5*u(y) - 2*v(y).\nAnswer: -y + 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (384\/(-1088))\/(615\/(-7667)).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -97096236, -97096229, -97096222, -97096215, -97096208, -97096201?\n\"Answer: 7*h - 97096243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8193*z**4 - 59812*z wrt z?\nAnswer: -98316*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7011 + -4190?\nAnswer: -101a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 64, 101?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*l - 3231 = 0, -9 = 145*l - 148*l. Calculate the highest common divisor of p and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/22617 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245 and 145845.\nAnswer: 1020915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 44. Let d(q) = q**3 + 2*q**2 - 6*q - 4. What is the least common multiple of d(-3) and z?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 7, 1340, -4 in ascending order.\nAnswer: -4, 2, 5, 7, 1340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6028680621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*l - l**2 + 58 + 189*l - 96*l to the form m + j*l**2 + u*l and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61726263 and 2061.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.15 - -0.05. Let f = 1.8 + x. Let a = -0.7 - 0.3. Sort 0.4, a, f in ascending order.\nAnswer: a, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - 3*x + 17*x to the form j*x + d and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659448301.\nAnswer: 43, 15336007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30374032 divided by -7593508?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9861.46722 + -9863.7. Let j = -2.23 - m. What is j rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**4 - 497*r**3 + 4*r - 157011?\nAnswer: 4*r**3 - 1491*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 7*t - 2*t - 10, 4*v = 4*t - 8. Suppose -4*l - j = -57, l - t*j + 3 = 24. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnuunn. Give prob of sequence nnu.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 130896721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -999, -2059, -3119, -4179, -5239?\n\"Answer: -1060*s + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19977708 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 7*f - 6. Let b(t) = t - 9. Let q be b(14). Let v be m(q). Does 4 divide ((-700)\/(-21))\/(-5)*(1 - v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 322 - 337, q + 150 = 5*u. Solve 15 = -4*c + u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*y**3 - 113*c**2*y + 11*c**2 - 1573478*y**4 - 4*y + 3 wrt y?\nAnswer: 6*c**2*y - 18881736*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 - 36*m + 75. Let x be r(-20). Sort 200, x, 0 in decreasing order.\nAnswer: 200, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 4.63.\nAnswer: -13.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 182000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1117, -985, -903, -895, -985, -1197, -1555?\n\"Answer: -4*n**3 - n**2 + 163*n - 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-587404)\/655)\/(2\/(-5)). Which is bigger: 2243 or o?\nAnswer: 2243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147230 = -43*j + 145768 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 6*l + 4. Let b(q) = 53 - 20 + 27*q + 3*q**2 + 2*q. Let h be b(-8). What is t(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - p + 8. Let o be g(0). Let w(d) = d**2 + 3*d + 2. Let f be w(-2). Let y = o + f. Calculate the smallest common multiple of 6 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*z + 12 + 7, 2*z - l = -11. Calculate the smallest common multiple of (z - -1)\/1*-8 and (-16)\/6*(-6)\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 + -56. Let h = -2663168736.00000013 - -2663168711. Let j = p + h. Round j to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 122 + 86. What is the highest common divisor of p and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 512*w - 29950*w**4 + 29951*w**4 - 41*w**2 - 768 - 55*w**2 = 0.\nAnswer: -12, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 874460979?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53136 and 16416.\nAnswer: 2019168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/16)\/(1\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16\/5, 14, -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 2, -37, -76?\n\"Answer: -39*l + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from {g: 2, f: 1, r: 11, t: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14 - -10)\/(1\/(-20)). Suppose c = g - 507. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 98 and 1.74245923.\nAnswer: 99.74245923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69097*k - 94397 wrt k.\nAnswer: 69097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 40*p**2 + 0*p - 1 - 1\/8*p**4 + 1\/40*p**5 + 3\/160*p**6 - 1\/896*p**8 + 0*p**3 - 1\/560*p**7. Determine h so that b(h) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2093728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3001411 + -12011?\nAnswer: -3013422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35506 by -3.\nAnswer: 35506\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/((-7)\/1372 + 0). Solve 0 = 3*o - 772 + a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91475733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 12203?\nAnswer: 12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-7)*r*r*r**12*r)\/(r\/r**(-12)*r\/r**(-10\/9)))**(-42) assuming r is positive.\nAnswer: r**(896\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 624 and 9498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2501?\nAnswer: 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*d = 269, -u = 5*d - 8 - 116. Suppose -b + u = -2*c - 2*c, -c = -b + 127. Let f = b - 858\/7. Do -1 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 5 + 11. Suppose -5*d = m - b, 0 = -0*d + 4*d. What is the first derivative of -7*l**m + 8*l**2 + 4 - 8 - 11 wrt l?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Suppose 0 = -p*a - 4*u + 2 + 6, -5*u - 14 = a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887938?\nAnswer: 2, 23, 97, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/17 (b) -3 (c) -5 (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 17*k**2 + 44*k - 6. Let f be p(-14). Let t(n) = -n - 7. Calculate the remainder when 266 is divided by t(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 1)*(0*z + 3*z - 4*z + (0 + 2*z + 0)*(3 - 1 + 0) - z + 0*z + 4*z) to w + k*z and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 12:31 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -387, -776, -1165, -1554?\n\"Answer: -389*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5524088 millennia to years.\nAnswer: 552.4088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**3 + 1 + 26*s**3 + 2*s**3 - 7*s**2 - 441*s + 205*s + 166*s wrt s?\nAnswer: 186*s - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (0 + -1) - 1\/(-1). Solve -4*i**3 + c*i - 104*i**2 + 104*i**2 = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (4 + (-4 + sqrt(272) - sqrt(1377)*1))*-2).\nAnswer: -9 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - x**2 - 60*x + 10. Let h be t(-7). Solve -34*n - 20 = -h*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011 times 10.6?\nAnswer: -0.1166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7657)\/19)\/(6\/(-4) + 2). What is w rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31 + 0.375. Let p = 12.265 - m. Let u = -12 + p. Which is the smallest value? (a) -2\/7 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/20 - (-7)\/4. Solve 4 = -c*o - 3*x - 0, 4*x = -5*o - 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2*x + x)*(9*x + 3*x - 4*x) to p + c*x**2 + u*x and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*q = 9 + 7, 7*q + 138 = -v + 95 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 5 (b) 3 (c) -13312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -914 + 911. Sort -100, 5, f, -1, -2.\nAnswer: -100, f, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/5 of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pipsspo. What is prob of sequence oi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlk when three letters picked without replacement from jlkljjjjjjjkljjjjkj?\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3057 + -1430.3943. Let z = h - -1512. Let l = z + -79. Sort 3, 4\/7, 5, l in increasing order.\nAnswer: l, 4\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3\/5, -0.139, 2\/11, -4\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 3*g + 3. Let s(u) = -6*u**3 + 16*u + 16. Let n = -56 + 40. Suppose -6*l = -l - 15. Determine l*s(a) + n*w(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/153 and -44\/51.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 take away -381374276543?\nAnswer: 381374276464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 0.02, -0.5, 5, -0.2, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 934.20957 and -27.\nAnswer: 907.20957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*f - 90, -4*v = 4*f - 155 - 157. Let a = 297 - v. Suppose 79 = -6*q + a. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 27 - 68 = 0. Let g = j - 17. Suppose -3*b - g*b = -175. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 232*a + 52*a + 9*a + 8*a + 120*a to q + z*a and give z.\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = -6. Let i(c) = -c**3 + 9*c**2 - c + 13. Let j be i(b). Suppose -4*g - g = q - 26, 5*q = -j*g + 25. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 174 - 7ab?\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**4\/8 - 43*l**3\/6 - 2*l**2 - 19. Find the first derivative of p(m) wrt m.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*n + 21, 15*n - 2*n = 3*z + 91. Factor -4\/5*l**2 - 12\/5*l + z.\nAnswer: -4*l*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257 (base 15) in base 5?\nAnswer: -4112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((3\/(-6))\/1)\/(2\/(-8)). Solve -o = 2 + d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*t**4 - 3*t**2 - 58*t**2 - t**2 + 7 to l*t**3 + n*t**2 + s*t + f + g*t**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3*3\/(-162))\/((-12)\/(-54)))\/((-15)\/(-2940)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Suppose -m*o - 2*o + 48 = 3*k, 2*o = -3*k + 54. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23804.634 + 105.312\nAnswer: -23699.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**3\/3 + 2*v**2 - 3*v - 5. Let h be g(5). Let s = 33 + h. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 58?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2013440 - 13?\nAnswer: 2013423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**4\/6 - 1758*h**2. Let o(c) = c + 343. What is y(o(l))?\nAnswer: 4*l + 1372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70.6 + 71. Which is the biggest value? (a) 2 (b) 0.04 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119216 divided by -707?\nAnswer: -119216\/707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -5*x + 46 + 4*x**6 + 5*x - 64 + 4*x**3. Find the third derivative of p(b) wrt b.\nAnswer: 1440*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/((-6)\/3))\/2. Suppose a = -m - 4*m - 25. Calculate the least common multiple of 18 and m\/15 - (-37)\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 58608*r**2 - 410367*r - 703548.\nAnswer: 3*(r - 19543)*(r + 3)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1573) + -3)**2 - (sqrt(1573) + (sqrt(1573) - (sqrt(1573) + 2 + ((sqrt(1573) - (-2 + sqrt(1573))) + sqrt(1573))**2))).\nAnswer: -55*sqrt(13) + 3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 30*m - 32. Let w be q(6). Solve 0 = 5*p + 10, -2*n + 4*p = -0*p + w for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4126288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v + 2. Let y be (-23)\/(-7) + 4\/42*-3. Let c(n) = -1 - y - 4 - 6*n + 4. What is 3*c(w) + 5*j(w)?\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088962153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 18, 0, -1, 423, 20 in ascending order.\nAnswer: -1, 0, 1, 18, 20, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**6\/39 - 2*j**5\/65 - j**4\/26 + 2*j**3\/39 - 15. Factor l(v).\nAnswer: 2*v**2*(v - 1)**2*(v + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 937, 3795, 8587, 15337, 24069, 34807?\nAnswer: 47575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -35, -43, -53?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -38, -12, 30, 94, 186, 312?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -4.5. Let s = n + 1. Let x = -7 - -4. Which is the closest to -2\/5? (a) s (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 1935?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let q = -5\/2 - -2. Let h be (-60)\/(-220)*(11 + (-6)\/((-180)\/(-310))). What is the closest to s in q, h, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9193589*o + 9193391*o - 9306 = 0 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 2218683043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*1*(-1)\/1. Suppose r - 5*m = 4*r - 13, 0 = r - m + a. Solve y - 1 - r = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/(-870))\/(10\/40)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4 + 26*a**3 - 33*a**2 - 86*a - 24 = 0.\nAnswer: -1, -1\/3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)*2)\/sqrt(4))\/(6*(sqrt(24) - sqrt(6))))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -195 + 43. Let c = -6 + p. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -68276, -136558, -204816, -273038, -341212, -409326, -477368, -545326?\n\"Answer: 2*g**3 - 68296*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65662 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**3*w*y - 7772*q**3*w + q**3*y - 2*q**3 + 8*q**2*w*y - 2*q**2*w - q**2*y + 31*q*w*y - 4*w*y - 2*w wrt q?\nAnswer: 18*w*y - 46632*w + 6*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Let x(y) = -3*y + 3 + 3*y + 3 - 6*y. Let p(r) = -6*r + 5. Let i(c) = -6*p(c) + 5*x(c). Give w(i(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2\/3, -3, -5, -252?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(27\/(-9)*1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*n**3 - 429*n wrt n?\nAnswer: 246*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*g - c - 822, 5*g - c = 1027. Is g a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*y - 2)*(y - 1 + 1)*(-7 + 118 - 3) to k + v*y + b*y**2 and give b.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 6*f**2 + 5*f + 3. Let w be z(0). Solve 0 = -5*a + 5*u - 12 + 2, -w*u + 6 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -2511?\nAnswer: 5\/2511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(640) - (sqrt(640)*-3 + sqrt(640) + sqrt(640)))*6)\/(sqrt(8)\/(sqrt(324)*3)) + 1)*1)**2.\nAnswer: 5184*sqrt(5) + 33592321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than -15.14?\nAnswer: -25.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230765 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 672241437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**7\/84 + j**5\/20 - j**3\/12 + 10*j. Factor t(v).\nAnswer: -v*(v - 1)**2*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*l, 2*l = f - l + 13. Let r be (f\/6)\/((-1)\/(-1)). Let w = 5 + 0. Which is the biggest value? (a) -2\/5 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 177648 and 132?\nAnswer: 1954128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 - 4537288*h**3 + 2573372799368*h**2.\nAnswer: 2*h**2*(h - 1134322)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2005\/7 - -94221\/329. Which is the smallest value? (a) 84 (b) -1\/6 (c) 1 (d) j (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210102 (base 4) in base 3?\nAnswer: -10012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 79139806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8888 is divided by 452?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, 18, 139, 382, 789, 1402, 2263?\nAnswer: 3414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 4 - 1 - -5) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(19) + (sqrt(19) - -2*sqrt(19))*2 - (sqrt(19) + sqrt(209)\/sqrt(11) + -4)))**2.\nAnswer: 40*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1, 3, 285?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0*i + 1\/6*i**4 + 0*i**3 + i**2 + 0. Let t(c) = 3*c - 30. Let v(p) = 2*p - 24. Let w(x) = 4*t(x) - 5*v(x). Determine l(w(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 729788465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/5))**43)**(-7\/12)\/(p**7*((p\/p**4)\/p)\/p*(p**(-2\/5)\/p)**(-19)) assuming p is positive.\nAnswer: p**(-283\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7*y**2 - 4*y - 2. Let f be s(-2). Let v = 72 + f. Suppose -3*b - 5*a + 16 = -v, -5*b - 4*a = -97. Solve -3*d + b = 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4182 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28496351033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 851105?\nAnswer: -851100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*g - 16 = 0, 6*q - 4*q = 3*g + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) - (-14)\/(-60). Determine c so that 1\/3*c - 1\/6 - y*c**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 1. Suppose -5*r - 10 = 5*c, 9 = -3*c - r - 3*r. Let w(v) be the second derivative of 0 + 7\/6*v**3 - 2*v**2 + 5*v. Determine c*w(l) - 6*j(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 7. Determine n so that -3*n**3 + 0*n**3 + s*n - 3*n**2 - 2*n**2 + 4*n**2 - 4 = 0.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16578886 to the power of 1\/2, to the nearest integer?\nAnswer: 4072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.673 + -7.713. What is the fourth biggest value in -23, -0.3, 0.2, c?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + t**2 - t - 5. Let i(w) = w**2 + 1. Let f(r) = -i(r) + l(r). Let h be -9*6\/(-9) + -3. Suppose -h*c = -c. Calculate f(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12401 (base 5) in base 2?\nAnswer: -1111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*w - x - 0, -3*x = 2*w - 22. Let m(u) = 4*u**2 - w*u**2 + 2 + u**3 + 3*u - 4*u. What is m(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 7*o**2 - 6*o - 7. Let s(y) = y**2 + y + 1. Let p(q) = -n(q) - 2*s(q). Let f be p(6). Sort 3, 5, -5, f.\nAnswer: f, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 40 = 2*r, 0 = -r - 0*r + t - 18. Let q = 23 + r. Suppose -4*h - 4 = 4*z, 2*h = 4*z - 7*z - 7. Solve h*v = v - q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - 2*m**2 + 5*m**2)*(-2*m**3 + 0*m**3 + 6*m**3)*(121 - 50 + 73)*(-3 - 1 + 1).\nAnswer: 1728*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*19907.\nAnswer: -378233","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**2 - 3*p - 9. Let l(g) = -8*g**2 + 4*g + 9. Let i(j) = -12*j + 139. Let a be i(12). What is a*l(r) - 6*q(r)?\nAnswer: -2*r**2 - 2*r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*h**2*w - h**2 + 15899*h - 410*w**3 + 1 with respect to w.\nAnswer: -91*h**2 - 1230*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.697 and -0.4.\nAnswer: 1.4788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2472 - 0.2472. Which is the fourth biggest value? (a) -3 (b) -3\/4 (c) z (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 4:56 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(176)*1.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 - 64 = 9*v + r, 0 = v - 4*r + 16. What is the least common multiple of v and 72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*y - 198 = -0*y - 13*y, -5*w = 2*y - 5*y + 66 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-6) - 4\/(-6). Suppose -w*k + 0*k + 20 = 0. Solve -3*d + 2*s - s - 17 = 0, 36 = -k*d + 4*s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = 5*i + 4, 4 = -2*s - 2*i. Let u(p) be the second derivative of -p**4\/12 - 5*p**3\/6 - p**2\/2 + 9*p. Give u(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 584*b + 49 - 574*b + 1 + 26. Let t be u(-7). Solve -8*k - t = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 - (-20 + 7 + -94)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, o: 3, d: 1, s: 3, w: 1, e: 3}. Give prob of sequence ses.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 706 + 75?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(2\/(-44)))\/2. Suppose 2*k = 10*k + 72. Let y = v + k. Solve 0*a + y = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2455 + 2466.01. Let h = d + -11. Let s = h + -0.055. What is s rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/2 - 39*j\/2.\nAnswer: 3*j*(j - 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -12*o + 37. Let i(r) = -6*r + 21. Let t(v) = 7*i(v) - 4*p(v). Let a(l) = 25*l - 5. Give -2*a(u) + 9*t(u).\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 7. Suppose -4*j = 5*d - 17 - 10, 2*j - 3*d - 19 = 0. Let q = u - j. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5117\/240 + 339\/16. What is the nearest to 0.4 in 3, 4, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 245 = 10*j - 5*j, -4*j + 5*o + 187 = 0. Let z(t) = -3*t - 1. What is the remainder when j is divided by z(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1591 + 188.5219.\nAnswer: 1779.5219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 147126 (base 8) to base 7\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65599*u - 65595*u - k = 102, -19*u = 4*k - 502 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 7, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 365*t**2 - 40*t**2 + 101*t**2 - 7.\nAnswer: -304*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 667 + -0.0571223.\nAnswer: 666.9428777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 17. Let d(m) = 3*m**3 - 11*m**2 - 20*m + 4. Let b be d(5). Let z be (-6)\/42*-97 - b\/(-28). Give q(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.66 - -0.34. Which is the biggest value? (a) 2 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1432, 30, 2.\nAnswer: -1432, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -9 - (-5)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**17)**39)**18)**(-41) assuming q is positive.\nAnswer: q**(-489294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 5*c**2 - 2*c - 1. Let b be q(-5). Let n be ((-30)\/(-4))\/5 - 2. Are b and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -116 and -9797669.915.\nAnswer: -9797785.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -3413?\nAnswer: 3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (3 + -2 + 1 + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y - 35. Let x be z(8). Put 5, x, 7, 3 in increasing order.\nAnswer: x, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -1491*u**6\/10 - 3*u**3\/2 - 60*u**2 - 7414*u. What is the second derivative of y(n) wrt n?\nAnswer: -53676*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 289 = 4*t + 2*u, 3*t = -5*u + 223. Suppose o = 3*o - t. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 7. Let x = 5 + -11. Let p be c(x). Suppose 5*i = -p*a + 60, -5*i = -4*a + 50 + 7. Solve 4*g = -3*h - 2*h + a, -4*h - 6 = -5*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3240 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4834161ml to litres.\nAnswer: 0.0004834161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xni when three letters picked without replacement from xxxnxninngxixxip?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 274754820 and 1140?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 582.98546 and -146087.\nAnswer: -145504.01454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 5, m: 2, g: 11}. Give prob of sequence aa.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302169 is divided by 513.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 0 = -5*c + 34. What is the remainder when 25 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 6*j**2 - 6*j + 7. Let g be o(7). Let s = g + -11. Let d(p) = 3*p - s*p**2 - 4*p + p. Let y(m) = -2*m. What is y(d(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7361129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 13*l - 13. Let o be h(7). Let r = 53 - o. Let g = r + 39. Calculate the highest common divisor of 70 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b0b9 (base 15) to base 10\nAnswer: 138549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(117)\/(sqrt(27)\/sqrt(3)) - sqrt(52)*6).\nAnswer: 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l + 2. Let a(w) = 5*w + 4. Let q(n) = n. Let t(g) = -8*g - 5. Let c(b) = 2*q(b) + t(b). Let y(i) = -5*a(i) - 4*c(i). Give u(f) + 5*y(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l - 19*l**2 + 6*l**3 + 19*l**2 + (-5*l + 2*l + 0*l)*(-3*l**2 + l**2 + 0*l**2).\nAnswer: 12*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 0)*(-5 + f + 5)*(-2*f - 247 + 0*f + 302) to t*f**2 + r*f + d and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16\/6*3\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-3*4\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10850 and 7750?\nAnswer: 54250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 + 2*q**2 + 3*q + 3. Let g(n) = -3*n**2 + 2*n**2 - 2*n - 2 + n**3 - 2*n**3. Let a = 7947 + -7953. What is a*g(z) - 4*s(z)?\nAnswer: -2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, and 1 e when three letters picked without replacement from eqdqmqdeyeqeeme?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + o - 1. Let t(q) = -14*q**3 + 4*q**2 + 5*q - 5. Let b = -1824 + 1819. Give b*a(d) + t(d).\nAnswer: -14*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 403 and 418277.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 73977, 73894, 73811?\n\"Answer: -83*m + 74060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 69 - -5?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.32122ml to litres.\nAnswer: 0.09332122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4 - 7 + 6*m + 0*m**3 - 5*m**2 + 4*m**3 - 5*m**3. Give o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -52.4. Let x be 10 - (-1 + 0 - -2). Let c be x\/(-12) + (-2)\/8. Put c, 0.4, t in decreasing order.\nAnswer: 0.4, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 209.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 48*g. Let s(y) = -168*y - 24. What is u(s(k))?\nAnswer: -8064*k - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/1 - 1) + 4. Suppose 0*d - 4*m - 186 = -2*d, -188 = -2*d + o*m. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from hmm.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 13*a**7\/70 - 9*a**3\/2 - 5*a**2. Differentiate s(z) wrt z.\nAnswer: 156*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -0*t + 11*t. Suppose -5*j = 5*n, -2*j + n + t = 2*n. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*k**2 - 3*k**3 - 19968 - 11128*k + 3691*k - 41637 = 0 for k.\nAnswer: -37, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.681575 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 64690\nAnswer: 11\/64690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4031 + -2343?\nAnswer: -11424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9767 + -9764. Let z(x) be the third derivative of -13*x**2 + 1\/21*x**t + 0 - 1\/210*x**5 - 1\/84*x**4 + 1\/420*x**6 + 0*x. Determine g so that z(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46213, -0.72, -1\/4 in decreasing order.\nAnswer: -1\/4, -0.72, -46213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -653 - -653.000353. What is n rounded to 5 decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 12:43 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-5))\/((-2)\/(-10)). Suppose -2*i = 6 - z. Let p be (1\/((-6)\/3))\/(-2). Which is the closest to p? (a) 0.3 (b) i (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1264 - 177 = -126*n - 1422 - 11 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**2\/5 - 421*l\/5 - 84 = 0.\nAnswer: -420, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2096962 divided by -149783.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*t*u**3 - 142*t*u**2 + 18437*t with respect to u.\nAnswer: 108*t*u**2 - 284*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35097175.\nAnswer: 5, 1403887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*r + 10, 2*h - 4 = r + 5. Let s(a) = 6 + 3*a**2 - a**2 + 0 + 5*a**h - 7*a - a**3. Give s(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/7 in -0.2, -5, -28, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-173)\/((-62280)\/15984)*(67*10 + 0) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1987 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 11:36 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35337270?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubuuubbuubuububbubb. Give prob of picking 3 b.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 368943?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2107361 to the power of 1\/2, to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*q**2 + 1177*q**2 - 346*q**2 - 413*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -0.7. Let k = 0.3 - z. Let l = k + 0.1. Which is the third smallest value? (a) 1 (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 803a3?\nAnswer: -8039c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -0.1, -2, -458, 4\/7, -0.2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 44, 79, 114, 143, 160, 159?\n\"Answer: -k**3 + 9*k**2 + 9*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2138, -2137, -2136, -2135?\nAnswer: -2134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 1148.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 8*t + 6. What is the derivative of 12*x**t - 12*x**3 + 7 + 17*x**4 wrt x?\nAnswer: 68*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10118 - -10142. What is the third biggest value in -5, -0.4, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18423221 and 745.025?\nAnswer: 18422475.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 4*d - 8. What is t(-9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -330 and 19430272.\nAnswer: 19429942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.33573 millilitres to litres.\nAnswer: 0.01533573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 = 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34.96 - 35. Let q = -0.040015 - k. Round q to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 20 - 2\/23.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(468) + (sqrt(468) + 0)*5 + (-5 + (sqrt(468) + 1 - sqrt(468)) - sqrt(468)) + -5*(sqrt(468) + sqrt(468)*-1))**2.\nAnswer: -192*sqrt(13) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/24 + 2*i**3\/3 + 3*i**2. Let k be f(2). Which is the closest to k? (a) 5 (b) 1\/7 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**3 - l**2. Let h = -15772 - -15774. Let i(p) = 22*p**3 - 2*p**2. Calculate h*i(f) - 7*x(f).\nAnswer: -5*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -460397 + -5?\nAnswer: -460402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1\/2)*w)\/((w*w\/((w\/w**5)\/w))\/w*w*w))\/((w*w**0*w)\/w)**0)\/((w*w**(-1))**(1\/10)\/(w*((w*w*w**(4\/9)\/w*w*w*w)\/w)\/w*w**(-1))) assuming w is positive.\nAnswer: w**(-55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/4 + 8362141*z**2\/4 - 4181071*z\/2.\nAnswer: z*(z - 1)*(z + 8362142)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 257870 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445778 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -359 + 990. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*v - 46 = -2*v, -12 = -3*v. Suppose -19 = 2*g + 4*h + 1, g - h = -z. Is 3\/18 + (-1510)\/g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*a + 208*a = -54. Suppose 5*i + 2 = 12. Let x(q) = 8*q**2 + 1. Let w be x(1). Solve -i*l = w - a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = 208 + 574. Calculate the remainder when u is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + sqrt(119)\/(-1*sqrt(7)).\nAnswer: -sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5*j + 2 + 0 = 0, 0 = -b + 5*j + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/708557 and 61\/8?\nAnswer: 5668456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 14*s**2 + 15*s - 10. Let g(b) = -42*b**2 - 44*b + 32. What is -5*g(r) - 16*u(r)?\nAnswer: -14*r**2 - 20*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 9*v**2 - 6*v + 17. Let h be b(-7). Let g = h + 42. Suppose -g*m + 8*m - 2050000 = 0. What is m rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.71 - 0.29. Which is the fourth biggest value? (a) -21 (b) -3 (c) j (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1944, -1589, -954, 3, 1324?\nAnswer: 3051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 + u - 4. Let q be g(2). Suppose -q + 22 = 2*z. Suppose w - 1279 = -4*w - z*i, w + 5*i = 265. What are the prime factors of w?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 s when three letters picked without replacement from {m: 1, s: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40*((-865)\/(-40) - 22).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a**2 + 6*a + 28. Let g(l) = -5*l**2 + 2*l + 14. What is -7*g(z) + 4*o(z)?\nAnswer: 3*z**2 + 10*z + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -10 - 2. Let q(a) be the second derivative of -a**5\/20 + a**3\/6 - a**2 - a. Is 22 a factor of q(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from zeezzez?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 22 = 6. Let p be (-10)\/14 - (-2)\/d. Let n(v) = v**2 - v. Let t(g) = -g**3 + g**2 - g. What is p*n(z) + t(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 5*x - 9*x + 0*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 207373080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9775 + 997015\/102. What is the common denominator of 2482\/(-52) + 204\/884 and l?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2 + b + b**2 + 6 - 4 + 1. Let y(r) be the third derivative of -r**5\/15 - r**4\/8 - r**3\/6 + r**2. Calculate 3*h(q) + y(q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009474503 to 7 decimal places.\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.213483 months to decades.\nAnswer: 0.201779025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -123\/49, -156, 0 in descending order.\nAnswer: 6, 0, -123\/49, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/10592400 and -85\/30264.\nAnswer: 10592400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 192151 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 864*c - 25589 + 7445 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 474 = -10*d. Let t = d - -121. Let l = 229 + t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = -5*q, 0*h + 2*h - 4*q = -6. Let o(x) = x**3 + x + 1. Let b(r) = -12*r**3 - 18*r - 18. What is h*b(s) - 18*o(s)?\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 5*r - 2*r + 13*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b - 9. Let v be f(-12). Let c(k) = 33*k + 1. Let y be c(1). Calculate the greatest common factor of v and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2 + 2)*(3 + 2 - 3) - 2*d + 2 + 1 + 2.\nAnswer: -4*d + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -536072096 divided by 28?\nAnswer: -19145432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 0*x**2 + 9 + 7\/3*x**3 + 0*x. Let j(w) be the third derivative of w**5\/30 + w**2. Give j(h(d)).\nAnswer: 98*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (327 - 1) + (-8)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 6 - (-1 + 0). Suppose -x*c + 45 = -15. Solve 5*f + 5*u + c = 0, 3*f = 3*u + 32 - 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*r - 25*r - 14*r - 47 - 18*r with respect to r.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*l + 4*f, -2*l - 3*f - 28 = -6*l. Suppose -l*v + 14 = 4*k - 30, 3*v = -4*k + 38. What is the smallest common multiple of 10 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 41, 44, 47?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 25 + (10 + (-5 - (1 + 3)) - 11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1023 divide 1742904320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 96660 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 1, -168, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 1)*((-5 - 3 + 29)*(-4*o + 3*o + 3*o) - 2*o + 0*o + 3*o) to p + i*o and give i.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.093734885 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -15 - 31 - (-1 + -1 + 1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 122 divided by 23590\nAnswer: 61\/11795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kreurum. Give prob of sequence erku.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b - 2 - 13*b - 17*b + 7*b.\nAnswer: -38*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -39*t + 5*t + 3*t - 3. Let g(q) = 2*q + 88 + 80 - 331 + 80 + 83. Give u(g(n)).\nAnswer: -62*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16044 - -0.160449419. Round m to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 143, 301, 435, 533, 583, 573?\n\"Answer: -2*g**3 + 172*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3764*b**3 - 2*b - 72*b**2 + 3*b + 69*b**2.\nAnswer: -3764*b**3 - 3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 10*f + 3. Let l(w) = -2*w**2 + 20*w + 6. Let h(a) = -6*l(a) + 13*y(a). Let n be h(10). Let p be (-4)\/10 + 4\/10. Solve -o + n = -p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2\/15 - 964*k\/5 - 348486\/5 = 0?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 180393299 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 23?\nAnswer: -21\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1061 by 4.\nAnswer: 1061\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 2\/3, -3, 437 in increasing order.\nAnswer: -18, -3, 2\/3, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.55, 2\/15, 342 in increasing order.\nAnswer: 2\/15, 11.55, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 38*l**2 + 60*l + 3. Let y be u(-39). Let m = 1239 + y. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c*c\/(c**11\/c))\/c)\/c*c\/(c*c**(-1\/14))*(c**(2\/7))**(-46) assuming c is positive.\nAnswer: c**(-295\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 9:03 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1390 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -261 - -265. Let t be ((-6)\/15)\/(4\/(-20)). Suppose 824 = v*u + 4*z, t*z + 487 = 4*u - 325. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*(14774\/(-534))\/((-2)\/(-3)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13022, 13225, 13784, 14879, 16690, 19397, 23180?\nAnswer: 28219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 15*m**2 + 2*m - 2. Let x = -195 - -184. Let q(y) = -75*y**2 - 10*y + 9. Let d(n) = x*o(n) - 2*q(n). What is the second derivative of d(s) wrt s?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83226048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from aiibikzkyiikk.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.5045855 - 0.06.\nAnswer: -21.5645855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**2\/2 - 4. Let p(q) = -4*q. Give p(a(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 4*t - 21, -7*t = 4*a - 4*t - 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 71?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1930104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*c - 28, 5*b - 4*c = 1280. Suppose -38*i - 156 = -42*i - 4*q, 4*q = 2*i - 60. Calculate the greatest common divisor of b and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 736 (b) 9\/2 (c) 4 (d) -0.047\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 11*y - 12. Let q(n) = 276*n - 306. Let f(j) = -153*g(j) + 6*q(j). Let w = -6 - -4. List the prime factors of f(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4432*z**2 + 4432*z**2 - 2*z**3 + 67*z to q*z**3 + x*z + s*z**2 + o and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 = 13. Let r(p) = -p - 3. Let n be r(-5). Let s be b\/2*(-1 + n). Solve s*q + 12 = -2*x, q = 2*x - 0*q + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 0.12 (c) -3\/2 (d) -5\/9 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -97366511.4184.\nAnswer: -97366508.4184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -159350360*s + 132488410?\nAnswer: -159350360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 177 - 174. Suppose -4*z = -a*y - 0*z + 34, z = 2*y - 16. Calculate the smallest common multiple of 78 and y.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4730 - 2404. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*s + 61853, -44*q + 49*q - 103110 = s. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4628121 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and 3.11.\nAnswer: 0.4043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 16*w - 1660. Calculate the remainder when 2816 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**5\/20 + 3*d**4\/4 - 7*d**3\/6 - 3*d**2 - 3*d. What are the prime factors of m(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-3 - -3) + 1 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 2442310\/80 - 84\/96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b, -h - 3*b + 3 = 2*b. Let g(u) = 3 - h + u**2 + 1. What is g(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2432 bigger than 21498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 3413404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*z + 19 = 0, -249*n + 3*z = -251*n + 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -81\/2137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfzuuffwjpu. Give prob of picking 1 j, 1 u, and 1 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**3 - 220*p**2 - 220*p - 180. What is a(56)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.143 - 6.857. What is the biggest value in 0, 1\/5, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*q - 126*q - 50 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8782 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2\/5 (c) 4\/15 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.98476 rounded to 2 dps?\nAnswer: 2.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-50)\/3 + 8\/12. Let u = -22 - s. Let r = u + 12. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/455 and 53\/11700?\nAnswer: 81900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -926 + 928. What is the closest to -0.01 in 0.3, 3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 8\/75*q**5 + 1\/15*q**2 + 10 + 1\/5*q**4 + 0*q + 1\/45*q**6 + 8\/45*q**3. Factor n(s).\nAnswer: 2*s*(s + 1)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -1117*b**4\/4 + 919*b**3\/3 + 1311. What is the third derivative of a(f) wrt f?\nAnswer: -6702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.193 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543124370?\nAnswer: 2, 5, 149, 364513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*k + 202*k + 2747 = 25*k + 46*k for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.40094749 from -2.1907.\nAnswer: -1.78975251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.1079, 1\/2103?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 732 + -4411\/6. Calculate the common denominator of (505\/180*-2)\/1 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = 9*r - 489. Let z = 0.043 - 5.043. Which is the closest to 1\/4? (a) z (b) -2 (c) -4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27750 = 874*q - 108*q - 592 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 181\/3 + -60. Let r = -471 - -471.3. Which is the closest to -0.1? (a) r (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eelllooloellollee. Give prob of sequence lol.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o + 8*o - 16*o - o**3 + 1. Let n(f) = -9*f**4 + 29*f**3 - 16*f**2 + 12*f - 8. Let w(y) = 24*i(y) + 3*n(y). Determine h so that w(h) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*z**2 - 91*z**2 - 34*z**2 - 19*z + 19*z + 24*z**2.\nAnswer: -139*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3447 + -3068. What is the remainder when h is divided by 250?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-230)\/(-69))\/((-94)\/90 + 1). Let o = -57 - d. Solve 3*x + 5*z = -o - 0, 0 = -5*x - z - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {y: 1, w: 2, d: 3, x: 2, k: 3, e: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -11b0?\nAnswer: 11b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/1365*(-1 + 78).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2. Let d(s) be the first derivative of -14*s**3\/3 - 38. What is d(h(p))?\nAnswer: -126*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in 2\/11, 4\/3, 3\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**4\/12 - 5*m**3\/3 + 4*m**2. Let h be x(-7). Sort -2, h, -5 in ascending order.\nAnswer: -5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 4*f - 5. Suppose 0*z - 4*z - x = -16, 0 = 3*x. Suppose -826 = -z*r + s, 4*r + 2*s + 3*s - 814 = 0. Suppose -r + 194 = 2*n. Give d(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*a = -7*b + 404, -5*b - 2*a + 507 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817105 is divided by 24028.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3*o*v + 7*m**3*v**2 + 32*m**3 - 2*m**2*o - 117*m*o*v**2 - 162*o*v**2 + v**2 - 155*v - 4 wrt v?\nAnswer: 14*m**3 - 234*m*o - 324*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmlmmmllmlmmlommm. Give prob of picking 4 m.\nAnswer: 33\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j**3 - 37*j**2 + 70*j + 38. Calculate t(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(252) - (sqrt(252) + 1 + sqrt(252))) + -2 + -4 + (sqrt(252) - (sqrt(252) + 1 + sqrt(252))))**2 + ((1 + sqrt(252))*1*-1)**2.\nAnswer: 204*sqrt(7) + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 308, 681, 1200?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46004 (base 7) to base 13.\nAnswer: -5405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -233, -6\/13, -11\/3?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 16, 107, -5, -14 in decreasing order.\nAnswer: 107, 16, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -6112, 1, -0.07, 59.\nAnswer: -6112, -0.07, 0.5, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3579080693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/7*70\/20. Is (632\/16)\/(h\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56670591 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/24*27\/(-18)*(-12)\/21. Solve -23*b = -21*b + 8, -5*m + k*b = 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 12*y**2 - 7*y - 41. What is the remainder when 30 is divided by w(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*j + 28, 3*j + 9*n - 26 = 4*n. What is the least common multiple of j and 94?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 4*o**2 + 4*o. Let x(r) = -4*r**2 - 2*r. Let m be 85\/30 + (1\/6 - 0). Let a(f) = f**2 + f. Let q(n) = m*a(n) + x(n). Determine 4*q(s) - y(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 2*n + 4*n)*(-1 - 1 + 0 - 1 + 1 - 1 + (1 - 1 - 2)*(6 - 3 - 2)).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from imxmmottmmtmtmim.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2710, -2722, -2744, -2782, -2842, -2930, -3052, -3214?\nAnswer: -3422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -624*a**2 - 758*a**3 - 44*a**3 + 641*a**2 wrt a.\nAnswer: -4812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -155751475\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(sqrt(272) + 1))**2*-3.\nAnswer: 768*sqrt(17) + 26208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -5 - (0 + -3 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:14 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbb when three letters picked without replacement from {w: 5, m: 1, b: 2, n: 6, c: 5}.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6726444 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3500)\/560)\/((-5)\/20)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7 rounded to 1 decimal place?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/4660 and -87\/220?\nAnswer: 51260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 80. Let c = m + 15. Let y = c + 46. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -27. Let x(m) = 2*m**2 + m - 1. Let k be x(1). Find the third derivative of -3*s**t + s**k - 10 + 10 wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/976 and -21\/610.\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6899272 or -6899273?\nAnswer: -6899272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17106 rounded to 3 dps?\nAnswer: 0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 57.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13468 and -0.12.\nAnswer: -0.0161616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*o + 532, 5*g = 5*o + 237 - 757. What is the greatest common factor of o and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2.15 (c) 11 (d) -2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.831644 - -102.824344. Let i = -142 + 40. Let s = i + b. What is s rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3646.568 minus -278736?\nAnswer: 275089.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 1060 - 1101. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 42 + 7 = 0. Suppose u - 5*d = 1914, -n*u + u + 5*d + 7731 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/2 + 7\/(-1 + 15). Let z be (w - 1) + -3 + 8. Let l = 1 - 1. Solve 2*r - 3*q - z - 4 = l, -r + 17 = -5*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367529*j + 3 - 1 - 367610*j.\nAnswer: -81*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -201 + 222. Suppose -o*y + 1 - 1 = 0. Which is smaller: y or -426?\nAnswer: -426","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -228273*a. Let v(y) = 17*y. What is q(v(n))?\nAnswer: -3880641*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, k: 4, g: 5}. Give prob of sequence kkkk.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzwf when four letters picked without replacement from zwfwzwzzzwzwwwwwwwwz?\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80712 divided by 114.\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13099*s**3 + 1514 - 1514.\nAnswer: -13099*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45735243 and 4.\nAnswer: 182940972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 261.387 years?\nAnswer: 2.61387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -658768 by 3.\nAnswer: -658768\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.77 - 3.770000882. What is m rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 747558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01231 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 - -319?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 284861 (base 9) to base 14\nAnswer: 476b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w**2 - 8*w + 1. Let c(j) = -j**3 - j**2 - 2*j - 3. Let x be c(-2). Let r(b) = 4*b**2 + 7*b - 1. What is x*t(p) + 6*r(p)?\nAnswer: -p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 5109 and 4507 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -474.00000449 + 474. Round n to 7 dps.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5*s**2 + 6*s + 4. Suppose 85 = 47*u - 103. What is the smallest common multiple of u and f(6)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2)*(2 - -8). Solve 0 = -2*o + 4*o - x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3534794?\nAnswer: 3534798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkmlolomolk. What is prob of sequence okm?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -605 + 603. Put 6, 45, u in decreasing order.\nAnswer: 45, 6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71055*v + 360156*v - 24 + 24.\nAnswer: 289101*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 140741, 279009, 417241, 555419, 693525?\n\"Answer: -3*v**3 + 138289*v + 2455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/(-99)*(-42)\/40\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -55*p**3 - 4*p**2 - 8*p + 73. Let h be m(7). Round h to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 40 = -174. Let z = d - 107. Suppose -2*y + z*n + n + 7799997 = 0, 4*n = -4*y + 15600012. Round y to the nearest one hundred thousand.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1938, -1925, -1900, -1857, -1790, -1693, -1560?\n\"Answer: t**3 + 6*t - 1945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/8 and -43\/185300.\nAnswer: 370600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2001 = 70*h - 169. Solve h*w - 54*w = -161 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -622*j*u*v**3 - 8*u*v**3 + 25*u*v wrt j?\nAnswer: -622*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 31924 divided by 15962\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -4 (c) 3\/4 (d) -5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (5*sqrt(1323) + sqrt(27))\/(-3*sqrt(144)))*-2)**2.\nAnswer: 120*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-137)*410\/(-171175)*-167.\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9690.85 + -9691. Let w be 2\/(-4)*(3 + 5). Sort n, 0, w in descending order.\nAnswer: 0, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 1086.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.3019 and -336855.\nAnswer: -336862.3019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -16*w - 15. Is t(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 + 103. Let k be 21\/(-7) + (-1)\/(-2)*s. Which is the third smallest value? (a) -108 (b) 0 (c) k (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -673\/24 + 169\/6. Which is the closest to 7? (a) 2\/5 (b) -1\/3 (c) j (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*0.162\nAnswer: 0.0972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 10, j - 1 = -j + n. Let b be (-3 + 2 - j)*0. Does 12 divide (0 + (-2 - b))*-20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 4*w - 1. Suppose 38 = -5*q - 12. Let m = 7 + q. Let y be c(m). Solve -y*t + 7*t = -15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4)*m*m*m**(-7))\/(m\/(m**0\/m))**2 assuming m is positive.\nAnswer: m**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 43.0137. Let x = -0.00927 - p. Round x to four dps.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/13728 and 109\/144?\nAnswer: 41184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1405*l + 571*l + 3876 = -824*l + 1076 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 0.462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128 and 22.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 111700709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 10, -46, 1, -1?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -201240, 0, -0.2?\nAnswer: -201240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1 - 2 - 1 + 5 + (1 - 3 + 0)*(0 + 3 + 3) - 1 + 5 - 2)*(-z + 3*z - 3*z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4518586 milligrams?\nAnswer: 0.0004518586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u - 48*u + 103*u**3.\nAnswer: 103*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(150) - (sqrt(14) - sqrt(1400))*3)\/(sqrt(84)\/(sqrt(60)\/sqrt(5)) + 5*sqrt(7)*4).\nAnswer: 136*sqrt(2)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 431 and -0.03006.\nAnswer: -12.95586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4117205*i**3 - 688401.\nAnswer: 12351615*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 - 103 - (9\/(243\/45))\/(1\/6).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - (-3 - (82 - 38))) + 36.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**(2\/13)\/u)\/u*u)\/u**(-3\/4))\/(u**(-6)\/(u**(-5)\/u)) assuming u is positive.\nAnswer: u**(99\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z - 8. Let x be y(3). Which is smaller: -1\/20 or x?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1695, 3358, 5021, 6684, 8347?\nAnswer: 10010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 94?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(304)*-3 + 4 + sqrt(19) + 0 + sqrt(19) - (3*sqrt(76)*6)\/sqrt(4)).\nAnswer: -28*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 3 + (-3)\/(24\/2177). Let z = 276 + s. Calculate the common denominator of -5\/11 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2. Let v(n) = 493*n. What is v(d(c))?\nAnswer: -986*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, m: 11}. Give prob of sequence mmmi.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 310184487 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 825*a**2 + 165528*a - 1921964.\nAnswer: (a - 11)*(a + 418)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.25 + -0.05. Let q = -4 - -13. Let p = 5 - q. Sort o, p, 1 in increasing order.\nAnswer: p, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256110535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 972, 4304, 9988, 18012, 28364, 41032, 56004?\nAnswer: 73268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -491*d**2 - 2*d - 2. Let y(c) = 3*c**2 - 2*c + 1. What is g(k) - y(k)?\nAnswer: -494*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122 + 122 - 10*b)*(2 - 2 - 2) + b - b + b.\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589255383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/6)\/((-20)\/90). Is ((-2259)\/a)\/(-3)*-5*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + -1 + 22 - (-1 + 14)) + 74.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, -0.08, 2, -15?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1549*t**2 - 188*t**2 + 405 - 405 - 1230*t**2 in the form w + i*t + l*t**2 and give l.\nAnswer: -2967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 2*c**2. Let q be v(1). Let l be q*(-10 - -2)*1. What is the remainder when 9 is divided by l*((-2)\/(-4))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1)*(1 - 1). Let b(j) = 87*j**3 - 2*j**2 + j + 88*j**3 + 7 - 2*j - 174*j**3. What is the remainder when 18 is divided by b(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s + 8*s + 10*s + 5*r - 53 = -10*s - 3*s, 2*r - 26 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1523 by -63.\nAnswer: 1523\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 322*r - 10. Let g(m) = -107*m + 3. Determine 7*g(z) + 2*l(z).\nAnswer: -105*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4839.8 + 4840. Is l smaller than 5351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 45 = -3*p + 58, 9 = p - 4*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -70*a**3 + a + 1. Let z be q(-1). Let u = z + -47. Suppose -29*c + 460 = -27*c. What is the greatest common divisor of c and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1869 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**2*m**2*u + 1990961*k**2*u**3 - 4004*k*m**2*u**3 - 555*k*m*u - 26*m**2*u - m*u**3 wrt k.\nAnswer: -6*m**2*u + 3981922*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75130515401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*k = k - 9, k = -5*j - 31. Let n be ((-16)\/j)\/((-136)\/(-204)). Suppose 63\/4*r**3 - 21\/4*r**5 - 3\/2*r**n - 3*r - 6*r**2 + 0 = 0. What is r?\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/1125, 1, 2\/7, 0 in descending order.\nAnswer: 1, 2\/7, 1\/1125, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191918516 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -11.76. What is z rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 - 936*w**3 + 934*w**2 + 936*w - 935.\nAnswer: (w - 935)*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3933794?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7.9. Let l = 8 + -6. Sort l, -1, y.\nAnswer: -1, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*q + 81 + 229 = -361 - 688 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let c be (3 - (4 - (-4 + 4)))\/1. Let m be 12 + -6 + (c - -2). Give x(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 1, w: 3}. What is prob of sequence wvi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -94 (c) 0 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110222 (base 3) in base 14?\nAnswer: -1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*u + 15 = 0, 3*u + 11 + 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 take away -248252521034?\nAnswer: 248252521035.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 12:28 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1517 is divided by 85.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.6 - 11.5517. Let i = -0.048297656 + d. Round i to 7 decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 630, 1262, 1896, 2532, 3170, 3810, 4452?\nAnswer: 5096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + 5b?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**4\/28 - 2*w**3\/21 + w**2\/2 - 4*w\/7 + 462. Factor y(n).\nAnswer: -(n - 1)**2*(n + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172446.11us in days?\nAnswer: 0.000013569978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u\/u**(5\/3)*u)\/u))*u**(2\/15))**33)**(1\/5) assuming u is positive.\nAnswer: u**(-88\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -16*g**2 - 9*g + 13. Let j be p(13). Let m = 75845\/27 + j. What is the common denominator of 50\/27 - (-5 + 6) and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*d + t - 18, -5*d - 15 = 2*t. Let u = -8165 + 8164. Which is the nearest to d? (a) -8 (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5261 - -236741\/45. Let x(j) = -j - 5. Let r be x(-6). Is r greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 6*w**2 + 7*w - 6. Let d be f(5). Suppose 3*r = 4*y - 14, -7 = 5*r + 3. Solve 0*z + y*z = d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*u - 1534 = 190*u. Let i be -1 - ((-21)\/49 + (-1644)\/(-14)). Is u equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128991 (base 15) in base 10?\nAnswer: 889786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*z**3 - 1640*z + 302*z**3 + 1640*z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -47 + -3 - 0\/(-2). Let f = h + 74. Let u be (-1)\/6 - (-940)\/f. What is the highest common factor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2156).\nAnswer: 1 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*a - 17, -2*o + 10 = -4*a + 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**5 - 28427*d**4 + 325*d**3 + 636300220*d**2.\nAnswer: 180*d**2 - 682248*d + 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + -90. Suppose 3*l + 6 = c, 3*c = -0*l - 4*l + 5. Solve t*b - 12 = c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/20 - 37\/4. Let g(a) = a**3 + 10*a**2 + 6. Let n be g(s). Calculate the highest common factor of n and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3361\/72 + -1\/72. Is 46 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**6\/600 + s**5\/25 + 11*s**4\/120 - s**2 - 60*s. Find z such that j(z) = 0.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13373 and 6.\nAnswer: -80238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 13*b = -12. Suppose b*h = -5*u - 15, -u - 5 = -2*h - 6*u. What is the units digit of ((-15)\/h)\/((-3)\/(-78))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 16*m**2 - 12*m + 7. Let g be t(8). Round g to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5451 < -5450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19047 - -19084. Solve -5*k + s = -4*j, -41*j + 2*k - 19 = -38*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, r: 1, s: 1, d: 1, y: 2}. Give prob of picking 1 r and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -15*a + 11. Suppose -4*j + 4*w - 7*w = 21, -5*j + w = 31. Suppose 0*p = 2*p, 4*r - 5*p = 12. Let i(h) = 3*h - r + 8 - 10*h. What is j*q(c) + 13*i(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (42 - 1) + (-9 - -7). Calculate the greatest common factor of 26 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -30. Let u = r - -12. Which is the biggest value? (a) u (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88421499?\nAnswer: 3, 23, 347, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1035 or 1161?\nAnswer: 1161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (6 - (-10 + 1) - -3).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007934302916 to 7 decimal places.\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1450, -1567, -1762, -2035?\nAnswer: -2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 33 = 1. Which is the third smallest value? (a) -1 (b) 1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4701 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*v + 16632, -4*t = -12*v + 13*v - 33269. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 10:14 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4064 and 83\/10.\nAnswer: 20320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6058763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9985.073 - 178\nAnswer: -10163.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + 4 - 11*k + 7*k - 37*k + 3 + 35*k.\nAnswer: -k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.009 - -2565662280.8.\nAnswer: 2565662280.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43a (base 13) to base 2.\nAnswer: -1011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 272, 549, 826, 1103, 1380?\n\"Answer: 277*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -17.2. Put o, 0.5, -2, 3 in ascending order.\nAnswer: -2, o, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 12*k - 13. Let x(z) = -z**2 - 1. Let g(w) = -a(w) + 3*x(w). Let c be g(-15). What is the tens digit of (50\/c)\/((-1)\/7 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 603*g - 72032. Determine v(166).\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -678505 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2515066 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p + 162025 - 43961. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - y. Let x(g) = -4*g - 4*g**2 - g**3 + 2*g**2 - 7*g**2 - 5*g. Determine -36*d(r) + 4*x(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1487*b**2 - 1522*b**2 + 4620*b**2 - 1315*b**2. Let c(o) = 4*o**2. What is a(c(r))?\nAnswer: 4736*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 39 - 3*r**2 + r**3 - 5838*r + 5838*r. Factor a(c).\nAnswer: 3*c*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11*r - 4. Let j(t) = -t. Let n(w) = -3*w. Let q(s) = 14*j(s) - 4*n(s). Give h(q(p)).\nAnswer: 22*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 803 + -788. Solve -4*q - 12 = -4*v + 12, -3*v + 2*q + i = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 8:13 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7609002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a - 22. Let w(m) = 485*m + 21 - 164*m - 163*m - 165*m. What is 4*w(f) + 5*y(f)?\nAnswer: 2*f - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 16*w**2 - 7. Calculate f(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991*q + 1784 = 1002*q - 34090 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -8.5\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -566 + 1136 - 58*q - 568 as l + d*q and give d.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(726) - (sqrt(726) + sqrt(726) + (sqrt(726) - -1*sqrt(726)) + sqrt(726)))*2*-3)\/(-1*sqrt(882)*-4) + 1.\nAnswer: -1 + 22*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10829963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1133 - -1754. Does 23 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*x - 21*x = 66*x - 252 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 993 and 669.\nAnswer: 221439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14763*h + 4*u = 14759*h + 32, -17*h + 3*u = -136 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1759, 1820, 1969, 2248, 2699, 3364, 4285, 5504?\n\"Answer: 7*x**3 + 2*x**2 + 6*x + 1744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let p = 1238 - 3779\/3. Let s = -21 - p. Which is the closest to i? (a) 0 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 482, 964, 1446, 1928, 2410?\nAnswer: 2892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -175414000 rounded to the nearest one million?\nAnswer: -175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*(-4 + sqrt(125)) - 4*sqrt(125)*4)*1)**2*-2.\nAnswer: -56282 - 1200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1021*n - 1026*n + 3066*n - 4*n**2 - 1019*n + 3*n**3.\nAnswer: 3*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 7)\/((-1)\/(-3)). Let o be -1*((-6)\/(-3) - i). Which is the closest to 0? (a) o (b) -4\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1700) + 1)**2 - (sqrt(17) - (-2 + sqrt(153)))*-5.\nAnswer: 30*sqrt(17) + 1714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23330 + -2?\nAnswer: 23328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 12) to base 16\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(47*l - 33*l - 31*l).\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 25. Suppose 0 = -3*a - q + 9, -3*q - 14 = -3*a - p. Suppose 5*k - 3*m = -0*m + 24, 4*k = -3*m + a. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/5, 55 in increasing order.\nAnswer: -1\/5, 1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 3*p**2 - 278426*p**3 + p**2 - 5*p**2.\nAnswer: -278426*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 1. Suppose -437 = -3*p - 422. Let m(z) = 4 + 1 + 6*z + 2. Let g be 2*(1 + -2)\/(-2). Give g*m(b) + p*r(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -8*j**3 + 11*j**2\/2 - 3*j - 4. What is the first derivative of l(d) wrt d?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 4*c - 9. Determine w(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -971*r + 966*r + 27, 3*r + 7 = 4*y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 110. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2. Let t be s(-2). Let v be (t\/15 - (-2)\/5)*3. Solve i + 4*f - 8 = -0*i, i - 2 = -v*f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003427193 rounded to 5 dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -184895 divided by -739\nAnswer: 184895\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(78)\/sqrt(6) + 2.\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60143 + 342?\nAnswer: -58701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/22)\/(1\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v**3 - 5*v**2 + 5*v + 7. Let n(u) = 13*u**3 + 7*u**2 - 7*u - 10. Let o = 163 + -170. Determine o*m(x) - 5*n(x).\nAnswer: -2*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59\/11 - 18\/11. Find the common denominator of 30\/679 and q.\nAnswer: 7469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 5.99. Let v = p + -0.01. Let i = -4 + 9. Which is the second biggest value? (a) -3 (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -992720*q + 2. Let d(p) = -3*p. Determine d(r(n)).\nAnswer: 2978160*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/11)*k)\/k*k*k**(-1))\/(k**(34\/3)*k**(-4)))**(2\/93) assuming k is positive.\nAnswer: k**(-16\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 216298, 216377, 216456, 216535, 216614, 216693?\n\"Answer: 79*h + 216219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -39*r + 35*r - 4, 0 = 5*d - 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 4*b - 29, 46*b + 8 + 33 = 22*b + 20*b - 7*f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 = 7. Suppose -u*z + 33 = -3. Calculate the greatest common factor of 84 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 1\/8, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4\/3 + 16*x**3\/3 + 8*x**2\/3 - 16*x - 12.\nAnswer: -4*(x - 3)**2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5*(-1 + sqrt(539)) + -3)*-1 + 3)**2*-6.\nAnswer: -325566 + 15960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3239 + -3393. Which is smaller: -162 or x?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -f + 532, 3*f - 1614 = -0*w - 3*w. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3399, 3405, 3415, 3429, 3447, 3469, 3495?\n\"Answer: 2*p**2 + 3397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-12) + 94\/(-4). Let k = -14 - b. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/4)\/g)\/g)**(2\/75)*(g**(-5)*g)\/(g\/(g**(-3\/2)\/g)))**(5\/7) assuming g is positive.\nAnswer: g**(-566\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -3486379.1?\nAnswer: 3486378.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (1 - (-2 + -1)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 5 + 0 + o**2 + (62 - 132 - 117)*(11*o**2 + 15*o + 17*o - 9*o**2).\nAnswer: -373*o**2 - 5984*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 19 (b) -3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -397, -408, -531, -844, -1425, -2352, -3703, -5556?\nAnswer: -7989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 64 - 17 = 0. Let q be 801\/m*-1*9. Suppose -7 + 67 = a + c, -q = -4*a + 5*c. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -33\/25, -2\/3, 2\/1417?\nAnswer: 2\/1417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 49*i**3 - 17*i**3 - 17*i**3 - 10*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t + 3. Let f(a) = 5 - 40*a + 16*a + 15*a. Give 3*f(p) - 5*l(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 4, 50 in increasing order.\nAnswer: -5, 2, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3.069 times -409\nAnswer: -1255.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 - h**2 - h**2 + (-493 + 307 + 352)*(-24 - 14*h**2 + 24 + (0*h + 3*h - h)*(2*h + h - h)).\nAnswer: -1662*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 5*c + 0*c + 3*c + 18*c + 11*c + (2*c - 3*c + 2*c)*(-1 - 1 + 0) + 2*c + c - 2*c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9596726135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:52 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -584, -608, -654, -728, -836, -984, -1178, -1424?\n\"Answer: -k**3 - 5*k**2 - 2*k - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 33*t**2 + 2*t + 7. Suppose -4*d = -h + 7, 0 = -4*h - 3*d + 85 - 19. What is the remainder when o(3) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 - 8 - -6) - -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**6\/120 + 2*j**5\/15 - j**4\/6 - 17*j**3\/6 - 2*j**2. Let c be v(-8). What is the highest common divisor of 10 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -5*m - 5*f, 5*m - 145 = 10*f - 12*f. Suppose m*w = 5*w + 72. Solve 3*j = 6, -j + w*j + 21 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, c: 1, g: 2, u: 2}. Give prob of sequence uhcu.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 8*a - 2*x + 14614, 5*a + x - 73088 = 0. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 12*f**2 + f - 9. Suppose 2*v - 10 = -3*x, 5 = x + 4*v - 5. Suppose -57 = -5*u + 3*a, u + 4*a = -x*u + 40. Is d(u) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-413)\/(-35))\/((-12)\/(-960)). Solve 0 = -947*d + h*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 62*1\/(6 - 4). Let f be 698\/8 + 1\/(-4). Let g = f - v. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, -1, -6, -13?\n\"Answer: -t**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 26 = -6. Let b(h) = 48*h**2 + 10*h + 9. List the prime factors of b(j).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((0 + sqrt(891))*2)**2 - (4*(sqrt(891) + 0 + sqrt(891))*-5)**2)*3.\nAnswer: -4212648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*o - 3*o - 6*o**2)*(2 + 0 - 1) - 2*o**2 - 4 + 4)*(9 + 4*o - 9).\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 14*d - 10. Let n be o(-13). Suppose -2*p + p = -n. Suppose 3*w**3 - 5*w**2 - 6*w**3 + w**p - w**2 - 4*w = 0. What is w?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 192.5 - 192. Let g = 0.01 - 0.29. Let n = g + 0.28. What is the second biggest value in o, n, -4, -11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 5*a + 1. Calculate g(-7).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w + 3 + w**3 + w**2 - 141*w**4 + 63*w**4 + 77*w**4 to the form h*w**2 + q*w**3 + z + i*w + s*w**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**4\/2 + 5*o**3 + 9*o**2\/2 + o - 21. Suppose -5 = -2*m + 45. What is the remainder when m is divided by h(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13813269593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (56 - 8 + 2*c + 448)*(-5 + 0 + 2) in the form p*c + m and give m.\nAnswer: -1488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x - 19*x + 7*x. Let d(s) = 2*s - 1 + 1. What is d(k(b))?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/494847 or 1?\nAnswer: 2\/494847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105716*i - 52348.\nAnswer: 105716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -17*k - 5. Is b(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*w - 167*w + t = -12, -5*w + 3*t = -16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -710, 290, 1290, 2290, 3290, 4290?\nAnswer: 5290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.04, 2\/355, 3\/20, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 22*p**3\/3 + 26*p + 28. Differentiate n(r) wrt r.\nAnswer: 44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3077\/306 - 8\/(-108)*6)*26\/(-3)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1\/10 (c) 5 (d) 2\/17 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 0 + 4 + -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-36))\/(14\/448*-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 1739.49.\nAnswer: 8697.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/16 + ((-744)\/96)\/31. What is the closest to -2\/5 in -2\/11, v, -20, -0.09?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4661 and 2925133?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 29451975*c**2 + 29451971*c**2 + 4*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7070893 is divided by 1421.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**7*k\/k**5)\/(k\/k**(-3)*k*k*k*((k\/(k**(-3\/7)\/k))\/k)\/k))**38 assuming k is positive.\nAnswer: k**(-1178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -94*k**2 + k. Let j be z(1). Round j to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 16130*u**2 + 402671*u + 740830.\nAnswer: (u + 2)*(u + 23)*(u + 16105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -488229.655 to the nearest one hundred.\nAnswer: -488200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {h: 5, w: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 34*u**2 + 169*u - 78. Determine j(-28).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 412 = -52. Calculate the highest common factor of 243 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1726 - -1729. Let u(a) be the third derivative of 0*a**4 + 9*a**2 + 0*a**5 - 5\/3*a**x + 0*a + 11\/120*a**6 + 0. Find the first derivative of u(l) wrt l.\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 171 - 126 = 63*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 - (-4 + -69) - (1 + -16 + 10)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/954397 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 14 = 5*t - 26, z + 5*t = 25. Suppose 5*b = -5*k - z, -3 = 2*k + 3. Let j = b + 0. Solve -m = -j*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2, 4*z + 2*t = 5*t + 26 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10850 = -47*z + 42*z. Suppose -r = -3*r - 4*h + z, 5*h = 3*r - 3266. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73065 divided by 10\nAnswer: -14613\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243757, -244185, -244613, -245041, -245469?\nAnswer: -245897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2815*h. Let c(t) = 185483*t. Give c(x(i)).\nAnswer: 522134645*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + 3*y + 1. Let t be m(3). Let p = 12 + t. Calculate the remainder when 15 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 6*g = -44, -22 = -n + 17*g - 12*g for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*(2 + -2 + sqrt(252) + 0) - -1*((sqrt(252) + 0 - sqrt(252)) + -3 - sqrt(252))*5)**2.\nAnswer: -62865 - 6300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 0*y**2 + 0*y**2)*(652*y + 591*y - 1175*y) + (-3*y**2 - 2*y**2 + 0*y**2)*(2 + 2*y - 2).\nAnswer: 58*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 1. Let s(m) = -2*m - 4. Let n be s(-2). Let q be l(n). Let i = -0.8 - -3.8. Are q and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 712 divide 780676495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 677.96 + -697. Let o = r - -19. Let w = o - 0.96. Which is smaller: -23 or w?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3780 and 3780?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153928, 154187, 154450, 154717?\nAnswer: 154988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhahvvvahhh. Give prob of sequence av.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + 12?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12455, 15384, 23339, 38834, 64383, 102500, 155699, 226494?\n\"Answer: 419*o**3 - o**2 - o + 12038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -8*w**7\/7 - 5*w**3\/3 + 5. What is the third derivative of i(h) wrt h?\nAnswer: -960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1102 + 15?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 6. Let g = 13.37 + -13. Let l = g + 0.03. Sort z, l, -0.1.\nAnswer: z, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = -9*r + 127 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 - 2*u - u**3)*(515 + 339 - 132).\nAnswer: -722*u**3 - 1444*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1297 or -434?\nAnswer: 1297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 + 17*l**3 + 19*l**3.\nAnswer: 27*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3.7. Let f = -1587154.2999996 + 1587154. Let s = f + o. Round s to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 0*m + m)*(3*m - m + m + (2*m + 3*m - 3*m)*(-4 + 4 - 1) - 2*m - m + 4*m - 3*m + 3*m - m - 1 + 1 + m + m + 0*m + 4*m) as r*m**2 + k + j*m and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.84 and 36.\nAnswer: -30.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 32 = -0*d. Suppose 0 = t + k - d, -4*t + 12 = -k - 0. Solve t*f + 9 + 7 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 6. Let c be q(3). Let x(o) = 4*o**2 + c*o**2 + 10*o**3 - 11*o**3 + 6. Let s be x(7). Is s greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*r - 3*q + 8, -4*q + 18 = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -u - u, -r + 35 = 4*u. Solve -u*d - 28 = 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2 + 5 - 4 + 9*s**2 + 2*s + 0. Is u(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 9*h - 18. Let b be z(-6). Suppose -3*j + 2*w = -280 - 250, b = -3*j + 5*w + 524. Suppose x - 976 = j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -8*l. Suppose l = -y - 2*s - 2, 0 = 5*y - 5*s - 50. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4489 - -4488.6. What is the third smallest value in t, -87\/2, 0, 3, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9880.5 + -1933.5. Are -0.2 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15700 and 23900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 411354000 (base 6) in base 15?\nAnswer: 94b7a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*d + d - 6*d)*(-2 + 4 - 1)*(-3*d - 1 + 1)*(4*d**3 - 2*d**3 + 0*d**3).\nAnswer: 126*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 327091200 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -6719499\nAnswer: -5\/6719499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 n, and 1 v when four letters picked without replacement from {t: 2, v: 1, n: 2, a: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18, -2\/3, -13, 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + 2*(sqrt(468) - (2 + sqrt(468)))**2 + (sqrt(468) - (sqrt(468)*2)**2)*-2 + -1 + -5.\nAnswer: -12*sqrt(13) + 3741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d + 520417?\nAnswer: 520435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -535\/32 - -4847\/288. Factor 2\/3*a**3 + 0 - 4\/9*a**4 - 4\/9*a**2 + w*a + 1\/9*a**5.\nAnswer: a*(a - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7566 is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/4 - 65139*f + 1414363107.\nAnswer: 3*(f - 43426)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -k + 4*g, -4*k = -0*k + 3*g - 117. Is (-2174)\/(-18) + 6\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -19569*z - 489222. Determine n(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 607260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2)\/(6360\/29680)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 179.\nAnswer: -17.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2 - 79*w + 593. Calculate p(6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(272) + ((sqrt(272) + 2)*-5)**2 - sqrt(272)) - (-3 + -5 + sqrt(272)*-1).\nAnswer: 404*sqrt(17) + 6909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4*m - 20 = 0, -23*u - 9*m + 18*m = -m - 106 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 87a1 + 32d?\nAnswer: 8ad0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 5 + 0 + 0 - 6 to t*p + k and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - (4 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 23343867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + m - 2. Give w(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2 + 2*m**2 - 2*m**2 - 379*m + 2434 + 11086 - 141*m = 0.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24596 + 24577. Which is the fourth smallest value? (a) h (b) -5 (c) 0.1 (d) -1\/2 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mms when three letters picked without replacement from rirsmmmmimsislmsmmim?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(8\/(-3)))\/(316\/2528)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 2*n - n)*(2 + 3 + 4)*(-3*n**2 - 1 + 1) to l*n**2 + y*n + i + w*n**3 and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 divided by 4242341.\nAnswer: 93\/4242341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -103791.783351206.\nAnswer: -103790.783351206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210 (base 10) in base 8?\nAnswer: -2272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -35*c**3\/3 - 55*c**2 + 8*c - 1. What are the prime factors of l(-14)?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - t = 25 - 8, 4 = -3*y + t. Which is the biggest value? (a) y (b) 2\/5 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/7)\/(25\/(-175))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1574127 = -43*x + 16010680. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18736207?\nAnswer: 7, 101, 26501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -26*o. Let k(x) = 3048*x. Calculate v(k(u)).\nAnswer: -79248*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d - 38*d**2 - 28*d**2 - 3*d + 71*d**2 + 24 as w*d**2 + y + r*d and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**11*a\/a**(-2\/23) assuming a is positive.\nAnswer: a**(278\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 4*i + 6, -4*f = -f - 4*i - 30 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(833) - ((sqrt(833) - (-5 + sqrt(833) + -2)) + sqrt(833))**2 - (-3 + sqrt(833)*-5)).\nAnswer: 56*sqrt(17) + 879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/355 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124977 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*77103680.\nAnswer: 38551840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*g - 18. Let q be g\/36 + (-2 - 46\/(-36)). What is the nearest to q in -2\/3, -3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 - 16 = 0. Let t be 1\/(-5) + (-18)\/(-90). Solve t = 2*l + l - j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181189 plus 0.455526224?\nAnswer: 181189.455526224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6568.255 centuries to decades.\nAnswer: 65682.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 10:52 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (3 - 5)) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 3*l - 2. Let j = 115 + -93. Suppose 7*o = -4*o + j. Let q(b) = -2 + 6*b + 2*b - 2*b**2 - 4*b. Calculate o*q(r) - 3*k(r).\nAnswer: -r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 787*k**2 - 12054*k - 387. What is u(-15)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*a - 74*a = -3*a - 2124302. Is a a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451, -1073, -1919, -3049, -4523, -6401, -8743, -11609?\nAnswer: -15059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2539*f**2 + 3*f + 78*f + 15 - 65*f wrt f?\nAnswer: 5078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -1)\/(2 - (4 - 1)). Let u(k) = 6*k**3 + 0*k**2 + 19*k**3 - a + k + 2*k**2 + 1. Let m be u(1). Solve -4*y + 10 - m = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 375\/8 = 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1219995416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/10)\/(8\/(-20)). What is the closest to 1 in -2, i, -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0343 - -0.4343. Let h = -104 + 103. What is the nearest to 1\/3 in -0.8, t, h, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 + 7*w + 8. Calculate m(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r - 34. Let l be o(-11). Sort l, -1.7, 2 in descending order.\nAnswer: 2, l, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 - -1)*13\/2. Let l = -15 - k. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -542714 - -542710. Let x = 1.99 + 0.01. What is the nearest to -0.06 in y, 0.2, 0.4, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 210, 212, 212, 210, 206?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by 1.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 + 6*r**2 - 28*r**2 + 7*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31303, 62562, 93821?\n\"Answer: 31259*o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*y = -8, 9*b - 14*b - 5*y = -10. What is the nearest to -2\/3 in 6\/67, 5, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**4 + 0*t**2 - 1105*t**3 + 558*t**3 + 4 + 554*t**3 - t**2 in the form h*t**2 + s + l*t**3 + r*t + a*t**4 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 289 - 85. What is the remainder when w is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*l = -150*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**3 + 6*l**2 - 63*l + 54 = 0.\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 = -2*u. Let y(g) = 3*g**2 + g + 3. Calculate the remainder when y(u) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 9:48 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 262786052 a multiple of 2059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 2*u - 7 + 3, -5*u - 3*s - 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-6))\/((-25)\/(-30)). Let c = -13\/10 + l. What is the third smallest value in -2, 1\/7, c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(0*f + 4*f - 2 + 5).\nAnswer: -8*f - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 80 (b) 0.5 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -8774*f + 8788*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 = 15. Let o be 0\/3 + x + (7 - 5). Suppose o = 5*m - 2*v - 82, -m + 0*v + 10 = -2*v. Calculate the greatest common factor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 142 - 18 = 0. Suppose 2*z + 3*w = 4*z - 24, -t = -3*z - 2*w. What is the greatest common factor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/101850 and -131\/74690?\nAnswer: 1120350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 <= 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2516 + -22696\/9. Suppose 3*d - 396 = 2*d. Find the common denominator of ((-1)\/(-4))\/((-2)\/d) and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**3 + 8*m**2 + 0*m**3 + 7*m**3 + m**5 + 6*m**4 = 0. What is m?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/3 + 62*o**3\/3 - 448*o**2\/3 - 512*o\/3 = 0.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -571 + 1144 - u - 572. Let o(f) = 3*f**2 - 2*f - 3. Let c be o(3). Let z(k) = -8*k + 10. What is c*w(g) - 2*z(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-1))\/1 + -1. Suppose -a*n + 12*n + 45 = 0. Let h = -7 - n. Solve 0 = 3*w + 5 - h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2\/7 + 267*x + 146556\/7 = 0 for x.\nAnswer: -531, -92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -2)\/((4 - 6)\/10). Suppose d - 790 - 1286 = 0. Suppose d = z*a - 1099. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 11*s**2\/2 + 64*s - 25. Suppose 3*u - 74 = -5*t, 0*t - 2*u = 2*t - 32. Calculate the remainder when a(0) is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = -8*t - 28 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*c - 87, 0 = -4*c + 3*l + 789 - 726 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 + 10*n**3 - 64*n**2 + 72*n.\nAnswer: 2*n*(n - 2)**2*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0*u**2 - 2\/3*u**4 + 0*u**3 - 47\/20*u**5 - 5*u + 0. Find the third derivative of k(x) wrt x.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2 + 3*o - 7*o + 0 + 1. Let s be g(-4). Let n = -12 - s. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*(k*k\/(k\/(k*k**(-3\/5)\/k)*k))\/k)\/(((k*k**22*k)\/k)\/k))**(2\/183))**(-20))**28 assuming k is positive.\nAnswer: k**(8064\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - (-2 + 430\/36) and 6\/(-2 + (-138)\/(-111)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -716 - -1278. Suppose h = 2272 - j. What is h rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 823*z - 161. List the prime factors of x(6).\nAnswer: 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 3*m**2 + 3*m + 8. Let z be f(4). Suppose 0 = -2*t + z*t - 4, 5*n + 5*t = 310. Let j = -48 + n. What is the least common multiple of 20 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4518447079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kas when three letters picked without replacement from {a: 1, s: 1, k: 4, z: 5}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 (base 12) in base 3?\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -91*x - 6. Let v be y(-3). Let b = -263 + v. Solve -b*k = -k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99225 is divided by 1183.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*(5 + (-512)\/104).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 1410 in ascending order.\nAnswer: 4, 5, 1410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1989212 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) -5 (b) -10.95 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 44*s**2 + 41*s - 10. Let w be d(-45). Calculate the greatest common divisor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -0.1, 40, 2, 0.07?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 771?\nAnswer: 26\/771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 22100020112?\nAnswer: 22100020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -385.711 and -34.7?\nAnswer: 351.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34377183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 7*o**4\/12 + o**3 - 981*o**2 - 342*o. Differentiate k(u) wrt u.\nAnswer: 14*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2672497?\nAnswer: 2672497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 10, l: 1, o: 5}. Give prob of picking 1 l and 1 o.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 276209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13170296 divided by -1.\nAnswer: 13170296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y. Let j(l) = -3*l**2 - 3*l - 3. Let w(q) = -32*q - 7*q**2 + 14*q + 13*q - 5 + 0. Let s(f) = 10*j(f) - 6*w(f). Calculate s(n(t)).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1\/33, -17\/10?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3. Let n(h) be the third derivative of -h**6\/40 - h**2. Let u(r) = -2*r - 12. Let m be u(-6). Suppose -3*t - 12 = -m*t. Give t*o(v) - n(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/39? (a) -0.3 (b) -1 (c) 5\/3 (d) 8312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a7c3 + -11a?\nAnswer: -5a910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 1:48 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3873*l**2 + 1784. Let k(o) = -2583*o**2 + 1190. Let t(r) = -7*k(r) + 5*p(r). Differentiate t(n) wrt n.\nAnswer: -2568*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.68 - 4.6727. Let s = 0.0073 - v. Put 0.3, s, -1, 3 in descending order.\nAnswer: 3, 0.3, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1632 and 59\/33.\nAnswer: 17952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -143? (a) 6 (b) 2\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 46 = 3*d, -d = -3*d - j + 49. Suppose 6*q = 4*q + d. Suppose 3*f = 2*f + 4. Calculate the remainder when q is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10 = o, -o + 5 = 5*q - 3. Suppose 150 = 3*y + 47*k - 46*k, 0 = 3*y - 2*k - 132. What is the remainder when y is divided by -2*(2 + 21\/o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from gddgggdddgdgdgdggdd.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 565, 5, 0, 1, 2, 87, 33.\nAnswer: 0, 1, 2, 5, 33, 87, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -9. Suppose j*a + 5*a - 70000 = 0. What is a rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 3.9504.\nAnswer: 4.1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -96, -98, -90, -72, -44?\n\"Answer: 5*i**2 - 17*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 37*z**3 + 472*z**2 - 7*z + 3. Give q(-13).\nAnswer: -1427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y - 14. Let v(i) = -6*i + 26. Determine 11*r(u) + 6*v(u).\nAnswer: 8*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22720 - 9380. What is b rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y - 2*y + 8*y + 37*y**2 + 3*y.\nAnswer: 37*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -541 + 3959?\nAnswer: 3418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4288 and 7420?\nAnswer: 31816960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 19 = u + 3*r, -4*u - r = 50. Suppose 0*k - 7*k - 49 = 0. Let x = k - u. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*-0.9\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, y: 2, e: 1, l: 2}. What is prob of sequence yl?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 24*c - 50. What are the prime factors of a(-30)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 5*q - 121. Let m be y(-9). Suppose t - 3*z - 35 = 0, 201 - 33 = 4*t - m*z. What is the remainder when t is divided by ((-25)\/(-2))\/(1\/2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 10*r**2 - 5. Determine n(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)\/p**(-5)*(p**(1\/3))**31 assuming p is positive.\nAnswer: p**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000 - -101111100111100?\nAnswer: 101111011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117894 or -12614576\/107?\nAnswer: -117894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -8848?\nAnswer: -8849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3868 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.3 (c) 0.5 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 810947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 329*v - 9724. Determine p(-33).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4745, -9515, -14275, -19019, -23741, -28435, -33095?\n\"Answer: w**3 - w**2 - 4774*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 316 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + p + 154*p**2 - 137 + 128 + 5*p - 3*p as r*p + k*p**2 + l and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 3, -31, 1, -10 in increasing order.\nAnswer: -31, -10, -4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3*(1\/(-12))\/(45\/(-40))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 13*l + 95. Let r be t(-18). Solve -5*a + r*m - 15 = 0, -2*m = a - m - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6050) + 1*sqrt(6050))**2 + -3.\nAnswer: 24197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n = 5839 - 5575 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 3*a - 10, a - 70 = 2*p - 60 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177*v**5 - 9*v + 21.\nAnswer: 3540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 28*t = 46*t + 520, s - 52 = 2*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 143?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.216432 rounded to four dps?\nAnswer: -0.2164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16705 and 16705.\nAnswer: 16705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -172760, -345515, -518270, -691025, -863780?\n\"Answer: -172755*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50302, -50285, -50268, -50251?\nAnswer: -50234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in 3\/2, 1\/5, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 + 62*z + 253. Determine y(-4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**4 + 180*r**3 - 2898*r**2 + 18228*r - 40131 = 0.\nAnswer: 7, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 159 + -98. Suppose -a - 9 = -i. Calculate the greatest common factor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001337294 to seven decimal places.\nAnswer: -0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*s + 24*s + 15 = -21*s. Solve 0 = -0*w + w - t - 3, s*w + t - 17 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (-1 - -8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5610 plus -2?\nAnswer: 5608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -0*s - 70. Suppose -s - 140 = 3*p. Let v = p - -57. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m - 20*m = 189 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 66, 156, 302, 516, 810, 1196, 1686?\nAnswer: 2292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 227349 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22202210210 (base 3) to base 4.\nAnswer: 222021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**7\/1008 - f**6\/120 + 5*f**5\/6 + 10*f**2. Let i(j) be the third derivative of s(j). Give i(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1183586 greater than or equal to -1183400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11356.5 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -28*s**2 - 264*s + 5092 = 0.\nAnswer: -19, 67\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c = 3*x - 36*c - 110208, 3*x - 110206 = 2*c. List the prime factors of x.\nAnswer: 2, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + -5)*(-4)\/(-1). Let z(w) = -21*w. Let s be z(-1). Suppose 39 = u*c - s. Calculate the highest common factor of 75 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2. Let n(k) = -1. Let b(m) = 2. Let g(h) = -2*b(h) - 3*n(h). Let w(d) = -d**2 - 1. Let c(o) = 4*g(o) - 4*w(o). What is c(y(l))?\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**3 - 2142567*s**2 + 4349858*s + 2 wrt s.\nAnswer: 6*s - 4285134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - 14. Let u = 27 + l. Sort -1\/2, u, -4\/13 in descending order.\nAnswer: -4\/13, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2935 or -1141900\/389?\nAnswer: -2935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 11:40 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -445765, -445766, -445753, -445720, -445661?\nAnswer: -445570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 14. Which is the closest to 1? (a) r (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -205.355 + 44.63. Let j = -162 - f. What is j rounded to two decimal places?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6379*f**2 + 16*f + 3. Let m be n(-2). Suppose -m = -18*y - 3365. What are the prime factors of y?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t + 1. Let p be c(1). Let k = 790 - 784. Suppose -k*y + 7 + p = 0. Put -4, -5, -6, y in descending order.\nAnswer: y, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -25. Let p be s\/6 + (-2)\/3. What is l in 24*l + 0*l**4 - 1 - 39*l**2 - 6*l - 2 - 12*l**4 + 36*l**p = 0?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161 - -182. What is the greatest common factor of i and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + 0.86. Let z = l + -2.8. Is -0.5 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 38. Let o = x + -44.99999969. Round o to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27a (base 15) to base 9\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1737 - 1366 + 1350 - 1572 = 95*c for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040\/((7\/(-14))\/(3\/(-4))) is divided by 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.5574 (b) -1\/23 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u = -4*m - 19*u - 13, -5*m - 5*u = 20 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = -y - 11*y. Suppose 12*a = 15*a - y. Solve 3*x = -t - a, -4 = 2*t - 4*t + 5*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 + 173 - 222 - 170 = -270*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3488*b = 3483*b - f + 61030, -3*b + 36618 = 2*f. List the prime factors of b.\nAnswer: 2, 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - h**2 + 25*h - 1. Let p be w(-6). Let f = 131 + -43. Let v = f - p. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 11*v - 291 = -973, -3*x = -v - 62 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 16 - 8 - (1 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*y + 16 = 0, 0 = -5*s - 4*y + 6 - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319165264*j + 319165369*j + 1 - 1 + 0.\nAnswer: 105*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22030 is divided by 195.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 13*w**2 - 8*w**2 + 0*w - 2*w**2 + 0*w + 2 - 2 - w**2 + (-3*w + 3*w + 2*w)*(4*w - 2*w - 3*w))*(-2*w - 1 + 1).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**3 - x**2 - 16*x + 42. Let w(i) = -4*i**3 + i**2 + 10*i - 28. Calculate -5*f(q) - 8*w(q).\nAnswer: 2*q**3 - 3*q**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -318*o**2\/11 - 2336*o\/11 - 2568\/11 = 0.\nAnswer: -6, -214\/159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 146198625 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 20 = -4*u - 453, 584 = 4*l + 4*u. Let q = -62 + l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 9. Suppose -2*l + l = -v. Let g(o) = 3 + 2795*o + 9*o**2 - 3 - 1400*o - 7*o**2 - 1396*o. Determine g(l).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 8*x - 6. Let k be u(9). Sort -4, k, 1 in descending order.\nAnswer: k, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -754? (a) -19 (b) -3 (c) 5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000043036 rounded to seven decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 53548?\nAnswer: -53547.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 14*p + 42. Suppose -15*s = -13*s - 22. Let c be t(s). Let i = 10 - -35. Calculate the highest common factor of i and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 4, e: 6, b: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/(15\/((-525)\/(-14))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + n**2 - n + 672. Let g be x(0). Suppose -3*h + 0*h - 672 = -4*l, 4*l - g = 2*h. Suppose 0 = 6*f - 10*f + l. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4168*r - 667*r**2 + 349*r**2 + 319*r**2 to the form q + j*r + c*r**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxu when three letters picked without replacement from uuxx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s - 24. Let j = 6 - 10. Let z be r(j). Solve z*f = -2*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(68) + 2.\nAnswer: 3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 144\/16*(2\/(-12) + (-84)\/(-216)). Sort 4, -5, l, 5, -12 in increasing order.\nAnswer: -12, -5, l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268519276.\nAnswer: 2, 83, 808793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 0 - (-41 - -1). Let r be (0 + 3)*4\/u. Let j = -1 + -4. What is the closest to -0.1 in r, j, -3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x - 3 + 5 - 4*x - 7*x. Let s(m) be the third derivative of m**4\/8 - m**3\/3 + m**2. Let r = -57 - -54. Determine r*s(d) - 4*u(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-13 - -14) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-273609)\/21672 + (-26)\/(-2).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1235 and 6365.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**4 + 432*z**3 - 5951*z**2 - 675162*z + 680680 = 0.\nAnswer: -442, -35, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*0 + 2. Suppose 5*t - t + 11015 = b, t = y*b - 22044. Let f = -154423\/14 + b. What is the common denominator of 27\/8 and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17800, 71343, 160584, 285523, 446160, 642495?\nAnswer: 874528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 6 + 54. Calculate the smallest common multiple of 10 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/7 + 460*d**2 + 6446*d\/7 + 3224\/7.\nAnswer: -2*(d - 1612)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142941\/34 + 4201. Calculate the common denominator of g and ((-11)\/(-55))\/(12\/235) + -1.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 252?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 5727*n + 2857*n + 2870*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = -4*j + 2*v, 0 = -3*j + 4*v - 9. Let i = 57\/22 - 56\/11. Which is greater: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u\/u**(-1\/5))))**(-20)\/(u*u**7)**(2\/9) assuming u is positive.\nAnswer: u**(-412\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + r**2 - 1 + (11 + 1 - 8)*(2*r + 2*r + r)*(-r + 0*r + 2*r) + (2*r - r - 2*r)*(r + 5*r - 4*r).\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (678\/(-12882))\/((-485)\/190)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 1 (b) 3 (c) -3\/17 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 48*m**2 + 43*m + 234. Calculate u(47).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from zggz.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135 is divided by 135?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -0.4 (c) -690224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -11. Let v = 12 - f. Which is the third smallest value? (a) 0.3 (b) v (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k + 2. Let f(y) = -5*y - 4. Let j(q) = 3*f(q) + 5*w(q). Let c be j(-6). Let o be 4\/c*2\/2. What is the third smallest value in 4, -1, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 31?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -20*s**2 - 231*s - 32. Give i(-11).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 4*h = j + 26, -12 = -4*j - h. Suppose -j = -m - 0. Solve -m*t = 2*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/23238 and 29\/28402?\nAnswer: 255618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2226 or 2172?\nAnswer: 2226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2. Let c(l) = -1898*l + 1. Give c(q(d)).\nAnswer: 3796*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 2*f - 2, -50*f + 57*f - 5*a = -3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7519.7 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*b\/b**0)**40*(b*b**2)**21\/(b**1)**(1\/35) assuming b is positive.\nAnswer: b**(-1996\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4 + 2 - 3*z - 3*z. Let c(u) = -4*u - 2*u - u + 0*u - 2. Let d(y) = y**2 - 10*y + 20. Let n be d(8). What is n*c(q) - 5*f(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59087*t**3 + 74512*t wrt t?\nAnswer: -354522*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 + 3)\/(6\/(-15)). Let p(j) = -183 + 183 + k*j**2. Let y(n) = 5*n**2 - 11*n. Let i(h) = h**2 - 2*h. Let f(q) = 11*i(q) - 2*y(q). What is f(p(l))?\nAnswer: 400*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 92\/385 + (-23786)\/130823.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 2*b**2 + 6*b**2 - 2 - 3*b - b to w*b + m*b**2 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2908, 2501, 2080, 1639, 1172, 673, 136, -445?\n\"Answer: -j**3 - j**2 - 397*j + 3307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(768) + sqrt(768)*-4)**2 + sqrt(768) + (sqrt(3) - sqrt(33)\/sqrt(539)) + 3*-1*sqrt(3).\nAnswer: 97*sqrt(3)\/7 + 6911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 915 + -923. Sort 5, 11, -9, -1, b in descending order.\nAnswer: 11, 5, -1, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97348519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1210*r + 2428. Let j be u(-2). Solve 0 = 150*h - 154*h - j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 168\/(-30)*5\/1. Let h be (-4)\/14 + 608\/w. What is the units digit of (-4 + 1)*h\/33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 18*k**2 - 2*k + 4. Let r be x(2). What is the greatest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 - 13*h**2 - 218*h**2 - 648*h**2 - 884*h**2 to m + q*h + p*h**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000473036808 rounded to 6 dps?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 31. Let k = s - 11. Which is the second smallest value? (a) k (b) 3\/2 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 - 8*o - 10166. Give a(46).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*k - 4. Suppose -2*n = 4*x - 4 - k, 3*n + 5*x = 7. Are n and -1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or 61.9?\nAnswer: 61.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -47, -72, -113, -176, -267, -392, -557?\n\"Answer: -s**3 + s**2 - 11*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 3*x + x + (2 - 2 - 2*x)*(-2 + 7 - 2))*(3*x**3 - 2*x**3 - 4*x**3) as f*x + l*x**4 + v + m*x**2 + r*x**3 and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67527*c**3*j**2 - 2*c**3*j + 261*c**3 + 2*c**2*j + 3*j**2 + j + 3 wrt j.\nAnswer: -135054*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7910 (base 10) to base 7.\nAnswer: 32030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9315994 + -0.1372182.\nAnswer: 9315993.8627818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9640375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105247, 105253, 105263, 105277, 105295, 105317, 105343?\nAnswer: 105373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 919521 and 1917?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.29 + 2.47. Let j = l + 0.82. Suppose -2*w = 3*d + 15, -2*d + 0*d = 3*w + 15. What is the nearest to 2\/7 in j, w, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 81091 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 20 = -6*l. What is the biggest value in l, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -574?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224753, 449582, 674411, 899240?\nAnswer: 1124069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4154*a*p*w - 5970*a*w**2 - 82355410*p*w**2 wrt a?\nAnswer: -4154*p*w - 5970*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -341.22 + 1231.7. Let t = 874 - o. Let c = t + 17. What is c rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 3*n**2 + 2*n + 1. Let m(f) = -2 - 3 - 2 - f**2 - 8*f - 1. Let p be m(-6). Give x(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -435\/2, -1, 2\/5 in ascending order.\nAnswer: -435\/2, -1, -1\/6, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j - 24 = -40*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 21. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*d - 18171 - 1269 = 0 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 23*y**4\/12 + y + 7. Let t be 38\/12 - 6\/36. Let g(r) = -t*r + 3*r + 0*r - 2*r. Determine w(g(d)).\nAnswer: 92*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -217953 divided by -9?\nAnswer: 24217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8953 + -0.9953. Let z = 20 - 22. What is the nearest to z in 0.4, -1\/5, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from acpcdaddapapcoacco.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4658 times 3\nAnswer: -13974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + (-190544)\/(-24))\/((-6)\/(-18)).\nAnswer: 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 2:44 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -59*c**2. Let w(p) = p**2 - 4*p. Let i(y) be the first derivative of y**3\/3 - 5*y**2 + 102. Let q(h) = 2*i(h) - 5*w(h). Give q(v(l)).\nAnswer: -10443*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 5)\/((-2)\/33). Let z be 4\/(-22) - (-183)\/m. Which is the closest to 0? (a) 0.4 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 14 = -4*a - 28, 0 = 5*h - a - 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 12*i + 21*i + 468 = 38*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11*57\/2926*(-91)\/80 and -81\/104.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 + -10. Let m be n\/6 + 2\/(-6). What is the first derivative of 3 - 3 - 4 + m - 11*s wrt s?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490924 by -623.\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117 + 119. Suppose -d*j - 4 = 10. Is j + (-99)\/(-9) - -37*79 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4758*c**3 - c**2 - 151*c - 149. What is i(-1)?\nAnswer: -4757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 6*j - j**2 - 4)*(-562*j + 171*j - 663*j + 82*j).\nAnswer: 972*j**3 + 5832*j**2 + 1944*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 131503293 divided by -4\nAnswer: -131503293\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 223*t + 9983. Determine k(-161).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1725*q = 1730*q + 4*s + 147, 0 = 4*q + 28*s + 936 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-4))\/l*l**(-8)\/l)\/((l\/(l*l**(4\/9))*l)\/(l*l*(l**(-13)\/l)\/l)) assuming l is positive.\nAnswer: l**(-167\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186087 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125723985 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*d + 2*t + 5, -3*t + 12 = -d. Let a(b) = b**d + b + 7 + 8*b**2 + 8*b - b. Let n be a(-6). What is n rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/25)*a)\/a*a\/(((a\/(a*(a**(-13)\/a)\/a*a*a*a))\/a)\/a) assuming a is positive.\nAnswer: a**(-227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -15*4\/(-12). Suppose 2*z - 10 = -r*z. Suppose -z*t = -292 - 242. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2776 and 103402.71.\nAnswer: 106178.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 - 3 - 3 - 7)*(-2 + 16*q + 2).\nAnswer: -272*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -162312 or -162320?\nAnswer: -162312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 11, 3?\n\"Answer: -8*n + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -254367\nAnswer: 228930.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 3*j = -4*y - 7, 4*j - 5*j - y + 7 = -4*y for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**4*y*y*y**(-8)\/y*y)\/(y**1)**(-18) assuming y is positive.\nAnswer: y**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = 5*g - 81. Let p(u) = -u**2 - u. Let z(k) = -1497*k + 753*k + 12*k**2 + 2*k**2 - 8*k**2 + 749*k. Calculate g*p(m) - 6*z(m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28533078 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 205 = 3*z, 3*k - 5*z - 629 = -26. Suppose -10*w + k = -17*w. Sort 0, w, -3.\nAnswer: w, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 446748 and 27612?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 - f + 2. Suppose 29*l + 237 = -50*l. Suppose 0*a - 3*a + 6 = 0. Let u(x) = x**2 - 2*x**2 + x**a - 10*x**3 - 4*x + 10. Give l*u(k) + 14*p(k).\nAnswer: 2*k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 3*s - 8, -g - 120 = 3*s - 104 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 9 + 45)*(-2*t - t + 5*t)*(3 - 3 + 3)*(0 + 2 + 0) to the form k*t + a and give k.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138.6 + 140.6. Is f equal to 204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153576189 is divided by 4664?\nAnswer: 4661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s - 29208 = -231903 - 127563. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 34 = -5*x, 2*g = 3*g + 2*x - 13. Let j be (18\/g + -3)\/1. Calculate the highest common divisor of 21 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 2, e: 1, p: 1, u: 1, k: 1}. What is prob of picking 1 e, 2 n, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 175644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 0*s - 13 - 9*s + s + 2*s. List the prime factors of t(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**4 - 16*a**3 + a**2 + 47870*a - 28797470 wrt a.\nAnswer: 8*a**3 - 48*a**2 + 2*a + 47870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.1, 7, -3\/5, -1\/170492 in descending order.\nAnswer: 7, 0.1, -1\/170492, -0.4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 3*t + 3. Let v be u(-3). Let g = -6 + 6. Let n = -15.8 - -16.1. Put g, n, v in decreasing order.\nAnswer: v, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/5)\/(8\/120). Let o be (-22)\/2 + 21\/7. Let a = p + o. Solve 0 = a*q + 10 + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 66 - (-2 - (5 - 7)). Is 3\/(d\/(-4)) - 11016\/(-88) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 1 - (-6 + -10 + 10 + 14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h. Let u(o) = -2807*o**2. Give s(u(w)).\nAnswer: -5614*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o. Let t(z) = -1. Let g(c) = 26*c + 10. Let r(m) = g(m) + 8*t(m). What is r(b(j))?\nAnswer: 52*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*w - 10 = 0, 2 = z - w - 0. Suppose 0 + z = q. Factor 0 + q*u - 1\/4*u**3 - 1\/4*u**4 + 0*u**2.\nAnswer: -u**3*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9617254499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13121*f - 39382. Calculate l(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, e: 10, b: 1}. Give prob of sequence eeqb.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43912 is divided by 61.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.031 + -7.031. Let n = 2.411 + -9.410975. Let s = z - n. Round s to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 1685242.\nAnswer: 50557.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 54*x + 50 = 58*x, -3*x = -4*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = -z - 9*z. Suppose -2*g = -u + 10, -4*g = 4*u - z - 1. Solve 7*i - u = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*g - 538 = -508*g + 554 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 1470*i**5 + 1651*i**2 + 1000. Find the second derivative of z(x) wrt x.\nAnswer: 88200*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003031580362 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*r = -32 + 10, 21*y - 30 = 2*r. Solve -5 - 3 = y*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g + 453 = 208 + 187 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(204)\/(sqrt(588)*3))**2.\nAnswer: -17\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299, 556, 779, 956, 1075, 1124, 1091?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlllwwlwwl. Give prob of picking 2 w and 2 l.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 3 - (-1 + 2). Let w = -2 + m. Suppose 0 = 5*p + 17*p - 18*p. Which is greater: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 8*w + 7. Let x(m) be the second derivative of -m**4\/12 + 3*m**3\/2 + 4*m**2 - 29*m. Determine 7*o(c) - 6*x(c).\nAnswer: -c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2958*y**3 + 1594*y**2 - 21214748?\nAnswer: -8874*y**2 + 3188*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297, -1605, -3787, -6843?\nAnswer: -10773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 300, 600, 902, 1206, 1512, 1820?\n\"Answer: j**2 + 297*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.00111 + -1.99889. Let w = -153\/161 + 12\/23. What is the closest to 0.5 in 2, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -803*b**2 - 18*b**3 - 808*b**2 + 37*b**3 - 21*b**3 + 2412*b**2 - 801*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 at most as big as -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 116\/32 - 6*(-12)\/192. Suppose -2*r - 2 = 8. What is the third smallest value in o, r, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070226 is divided by 126.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22\/2 + -14*(-585)\/(-182) - -17\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/((-2)\/(-42)*3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1230 and 33\/10.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.594357 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tty when three letters picked without replacement from {v: 7, k: 6, y: 1, t: 5}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1565 + -780. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 0*x + x + 0*x**2 + x**2 - 2*x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/9)\/(28\/(-6) - -4). Which is the nearest to -0.2? (a) -4\/7 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 2*f + 6*y - 50674, -6 = y. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165*q**3 + 2 - 165*q**3 + 2*q**4 - 2*q**2 to n*q**2 + o + i*q + a*q**4 + r*q**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**5 + 192*w**4 - 372*w**3 - 6*w**2 + 375*w - 186.\nAnswer: -3*(w - 62)*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*y**2 - 2*y**2 - 2 + 6*y**2)*(4*y**2 - 9*y**2 + 21*y**2) to the form t*y**2 + f*y**3 + u*y**4 + x*y + s and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 159919100 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -122, 0.3, -10\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -17*v**2. Let s(d) = 2*d - 6. Let c(f) = 2*f - 5. Let g(p) = -6*c(p) + 5*s(p). Give x(g(l)).\nAnswer: -68*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 5521*o**7\/210 - 1235*o**3 - 7913*o**2. Find the first derivative of q(l) wrt l.\nAnswer: 22084*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 7*h - 9. Let l be r(-13). Calculate the common denominator of 61\/12 and l\/29 + (-83)\/(-24).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(153) - 4*(sqrt(153) + -1 + sqrt(153))).\nAnswer: -21*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*n - 178*n - 112 = 0. What is the fourth smallest value in 0.09, n, -1, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 17*w**2 + 2*w - 30. Let u be q(17). Let r(g) = 2*g**3 + 18*g**2 + g + 12. Let h be r(-9). Solve 4*i - 8 = -4*v + 4, 2 = -u*i + h*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1760 = -2*y - 3*y + 5*n, 1403 = 4*y + n. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -30. Suppose 4*o - 5*n + 11 = 0, 0 = 3*o + n - 4 - 2. Is v greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/15 - (-166)\/6. Let w(c) = 4*c**2 - 1. Suppose 4*v + 6 - 2 = 0. Let u be w(v). What is the greatest common divisor of u and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 33 = 5*t, -3*h + 2*h + 4*t = 3. Suppose -3*k + 4*c = -120, -32 = -k + 3*c + 3. Calculate the remainder when k is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k - 12. Let y(n) = 14*n + 34. Suppose 3*l - f + 68 = 7*l, 2*f + 68 = 4*l. Let g(q) = l*p(q) + 6*y(q). Let h(m) = -14*m. Give h(g(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 647.9 (b) 1\/5 (c) -2\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000011924 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 16*b**2 - 79*b + 117. Let p(g) = 6*g**3 - 96*g**2 + 474*g - 703. Let s(f) = -6*p(f) - 34*y(f). Factor s(z).\nAnswer: -2*(z - 8)*(z - 5)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjnxh. Give prob of sequence xjp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12465225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 2*w. What is the derivative of 9*b**w + 458*b - 458*b - 3 wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2349*p**3 + 18*p**2 - 18*p - 318. Let v(u) = 671*u**3 + 5*u**2 - 5*u - 91. Let f(q) = -5*i(q) + 18*v(q). What is the derivative of f(b) wrt b?\nAnswer: 999*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13072 = -75*i - 3875 + 9253. Sort i, -3, 1 in decreasing order.\nAnswer: i, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -991695?\nAnswer: -991695.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n + 17*n**2 + n - 3*n - 14 with respect to n.\nAnswer: 34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + -7d5c?\nAnswer: -7d4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109756275 + 0.04.\nAnswer: -109756274.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37 - -2ac890?\nAnswer: 2ac8c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from {t: 2, w: 1, n: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -36, -54?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6065, -24299, -54699, -97265, -151997?\nAnswer: -218895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 - (0 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 1, 0, -1, -945 in increasing order.\nAnswer: -945, -14, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1081 = 2*z - 5*o, 656 = -2*z - 2*o + 1702. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6472, -21321, -36182, -51061, -65964, -80897, -95866?\nAnswer: -110877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + 9. Suppose -r = 2*f + 2*f. Let c(y) = -y + 2. Determine c(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 2*t**2 - 5*t**2 + (0*t**2 + 2*t**2 - 4*t**2)*(0 + 0 - 1) + 50*t**2 - 9*t**2 + 4*t**2 to the form o*t**2 + u*t + h and give o.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 1\/6*n**3 + n + 0 + 1\/2*n**2. Let k(m) = -2*m - 2. What is 6*k(w) + 10*r(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 151. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/(28083\/(-5379)) + ((-56)\/4)\/(-7 - -5).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80\/3 + 27. Suppose -5*a - 5*a = 990. Let v = a + 401\/4. What is the third biggest value in v, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/729 and 59\/486?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 342626743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*c**4\/3 - 170*c**3 + 12865*c**2\/3 - 6620*c + 300 = 0.\nAnswer: -6, 5\/107, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1037239 divided by 1.\nAnswer: -1037239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -889, -260, 787, 2252, 4135?\nAnswer: 6436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000449971 to seven dps.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13020 is divided by 65?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 729\/6353 or -1?\nAnswer: 729\/6353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -11541?\nAnswer: 11535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h = -235*h + 3800. What is the remainder when 602 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 - -13. Is 3 a factor of v\/(-4) - (-1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -194364, -194403, -194442?\n\"Answer: -39*m - 194325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17137820 and 7335.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 + 199 = -4*s. Let g = s - -20. Calculate the common denominator of 57\/22 and g\/2 + 4 + -3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + (13 - -2 - 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3990 greater than or equal to -3990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 4 = 46 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/26, -0.2, 31, 0.51, 0?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, t: 9}. What is prob of picking 2 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(19) + sqrt(19) + -4 + (sqrt(152)*5 - sqrt(152))\/sqrt(8))**2.\nAnswer: -84*sqrt(19) + 737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -3. Let o = u - -1.5. Let c = 0.9 - -0.1. What is the biggest value in c, 2\/7, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from bcbunnuunrue.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9128108, 18256203, 27384298, 36512393, 45640488?\n\"Answer: 9128095*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86505 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 - -660?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5740*o + 1364. List the prime factors of h(2).\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(-5*sqrt(65)\/(4*sqrt(5)) - ((sqrt(117)*-3)**2 + -1)).\nAnswer: 25*sqrt(13)\/2 + 10520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 + 82. Let q(h) = -3*h + 1. Give q(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 16 - -20 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*h = 44, -3*x = 3*h + h + 33. Let n(k) = k + 6. Let w(b) = -b - 6. Let z(s) = 2*n(s) + 3*w(s). What is z(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - -0.02680736811\nAnswer: 16.02680736811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t - 8. Let k be d(3). Which is greater: 9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-10))\/(19\/95). Let y(n) = -1 + 6*n - 2*n + n**2 - j*n - 5. What is y(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*m = 17042 + 458 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*p + 64596 = 68608 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23628226489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -34*k + 14\/3*k**4 + 0*k**2 - 13\/2*k**3 + 1. What is the second derivative of c(d) wrt d?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 1. Let a be ((-3)\/6)\/(k\/(-24)). Let r(g) = -g**3 - 3*g**2 + 5. Is r(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3340 = -b + 5*f + 17459, -b + f + 14111 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49000 to the nearest one thousand.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9972775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -47*o**4\/24 - 82*o**3\/3 - 11*o**2 + 3. What is the tens digit of x(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - 5*y + 0*y)*(0*y**2 + 0*y**2 - y**2) + 0*y**3 - 4*y**3 + y**3 + (2*y + 3 - 3)*(-2*y**2 + 3*y**2 + 2*y**2).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422 a factor of 3485258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.6 - 31. What is the closest to 4\/3 in l, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6013231 (base 7) in base 6?\nAnswer: -23112244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429793303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 less than or equal to 199071\/18427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/3484 and 30\/84487.\nAnswer: 337948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v - 7*v + 59*v + 11*v + 27*v.\nAnswer: 97*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8*94122\nAnswer: -752976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-3) - 0\/1. Suppose -5*t - 4*q + 25 = 0, -t - q + p + 2 = 0. Suppose 3*j + 2 = t*i - 3*i, 5*j = -4*i - 40. Sort -4, -1, i.\nAnswer: i, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 26*n**2 + 1. Let i(f) = 338*f**2 + 7. Calculate i(d(c)).\nAnswer: 228488*c**4 + 17576*c**2 + 345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2336446 - 2*a + 1168204 - a**3 - 36*a**2 + 1168186. Determine v(-36).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186014 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.18099188 to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f**4*q + 58*f**2*q + 8*f*q + 5*q + 3393 wrt f.\nAnswer: 16*f**3*q + 116*f*q + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-5))\/((-6)\/15) + 109. What is the greatest common factor of 27 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, u: 13, p: 1}. Give prob of sequence pe.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/12 + -9)\/(2\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(-4*sqrt(36)\/sqrt(4))*1)**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-4 + (1 - -3) - 24)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4096*p - 197. Is v(-34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3*i = 24. Let z = i - -4. Find the second derivative of -17 - 10*n**3 - 5*n + 5 + z wrt n.\nAnswer: -60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117150228.\nAnswer: 2, 3, 13, 193, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*(9 - 8) - -11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5. Let a be 22 + 2 + 0 - o. What is the tens digit of a\/6*(-22)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/6)\/((-24)\/(-320)). Suppose -20*w + x = -18*w. What is the highest common divisor of 30 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 5, -50, -1, 2 in increasing order.\nAnswer: -50, -1, -3\/5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19036749 and 1014363?\nAnswer: 5367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 25703?\nAnswer: 25688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006333251 rounded to six dps?\nAnswer: 0.006333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 9190*v + 111000.\nAnswer: -5*(v - 12)*(v + 1850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1\/5, -1\/216, -0.3, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 8, -3\/32 in descending order.\nAnswer: 8, -3\/32, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.007, 0.1, -0.525, -3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-4 + (-14)\/(-4)). Suppose p = 9*z - 8*z - 1355. Suppose 382 = -7*o + z. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(3\/2076*-4*1)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**3 + 3*q**2 + 192*q - 7*q**3 - q**2 - 192*q. Suppose 10 = 5*u - 3*u. Let s(h) = -4*h**3 + 3*h**2 - 1. Give u*f(p) - 3*s(p).\nAnswer: 2*p**3 + p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(2\/7)\/u))\/u)\/u)**(-6\/5)*(u\/u**(-6\/11))\/u**(6\/5) assuming u is positive.\nAnswer: u**(53\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1. Let l(p) = p**2 + 4*p + 1. Determine 5*d(s) - l(s).\nAnswer: -s**2 - 4*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -5. Suppose 0 = -2*k - x - 1 + z, -5*k + 14 = 3*x. Let y be 2 - (2\/2)\/(-1). Solve -y*i - 7 = -k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-620)\/93 - (-3 - 2)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*2*(sqrt(243) - (sqrt(243)*-1 + 2)).\nAnswer: -108*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(500))*2 + -2)*-2)**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13697143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16205633 - -32664396. Let g = y + -48869999.999999824. Let t = g + -29. Round t to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 33. Suppose -h*c + 32 = -c. Is (c\/(-6))\/((32\/204)\/(-8)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/19452 and 7\/12968.\nAnswer: 38904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/45*(-2632)\/(-94)*(-5)\/6.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((14*1)\/((-164)\/(-41))))\/(234\/14).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7530 is divided by 1103?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*p*y**3 - 2*p*y**2 + 5*p*y - 19*p - 3380*y**3 - 450 wrt p.\nAnswer: 25*y**3 - 2*y**2 + 5*y - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59460*p**5 - 2*p**4 + 1647449*p wrt p.\nAnswer: 1189200*p**3 - 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83\/3 - -28. Let w = -0.1551 + -0.1449. What is the nearest to -3\/10 in -2\/7, -2\/15, q, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i + 4*i)*(1 - 1 + 1)*(-i**2 + 546493 - 134*i + i**3 - 546493).\nAnswer: i**4 - i**3 - 134*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h - 5*h - 2*h + (3 + 2*h - 3)*(-2 + 3 - 2) + 8 + 1 - 14 - 3*h.\nAnswer: -7*h - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 52\/29 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10\/3, -75, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 5*i - 3*i - 5*i + 0*i + 2*i + (-1 + 1 - 1)*(1 - 2 + 4)*(-53 - 7*i + 53) to the form z*i + x and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 1545443141?\nAnswer: -1545443141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 less than -0.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.172146 - -0.2.\nAnswer: 0.372146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 86*s + 9595 = 9919 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3 - -2)*-4)\/((-1380)\/(-6555))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-15)*3\/(-2). Let d be 3 + 28 - (w - -4). Let s be 4\/d + 670\/14. Calculate the highest common factor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 7*j - 9. Let x be q(-9). Let k be (0*3\/x)\/(-2) + 8. What is the greatest common divisor of k and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/7)*g*(g\/g**(-2\/5))\/g*(g*g**(-5))\/g*g*g*g**(-4)\/g*((g\/g**1)\/g)**46*(g*g\/g**(-1\/3)*g)\/(g\/g**(1\/5)) assuming g is positive.\nAnswer: g**(-5227\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1739)\/(-777) + ((-56)\/3)\/8\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7579, 30270, 68089, 121036?\nAnswer: 189111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, -40, -100, -182, -292?\n\"Answer: -j**3 - 2*j**2 - 31*j + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -512 divided by 7.\nAnswer: -512\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 70*v - 1466. What is y(-74)?\nAnswer: -1762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 30465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55728 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 21*t + 1640. Let i(j) = 4*j + 328. What is -22*i(v) + 4*w(v)?\nAnswer: -4*v - 656","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 43?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -5*f - 566 + 546, 0 = 3*v + f + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f - 2. Let y(r) be the second derivative of 0*r**2 + 0 + 1\/6*r**3 + 3*r. Let q(h) = -d(h) + 6*y(h). Let g(p) = -2*p + 5. Give 2*g(c) - 5*q(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1120?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 57053156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -0.2. Let s = 56 + 7. Let u = 253\/4 - s. What is the closest to -2\/3 in u, y, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5618487?\nAnswer: 3, 7, 37, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + u + 22 = 1387, 4*w = -5*u + 1092. Suppose 45 - w = -3*x. Let r = 106 - x. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2982.8 times -5.3\nAnswer: 15808.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 2. Let z(k) be the second derivative of k**3\/2 - 2*k**2 - 3*k - 72. Give -5*y(h) + 3*z(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3932 = 5*w - 3918, -136 = 20*w + 4*a for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430002820 to the power of 1\/2, to the nearest integer?\nAnswer: 20737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 - 9*r + 11. Let d(m) = 2*m**2 + 4*m - 5. Let x(v) = v**3 + 5*v**2 - 2*v + 7. Let p be x(-6). Let k = p + 14. Give k*h(a) - 7*d(a).\nAnswer: -2*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*m + 18594 = 2056*m + 60964 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.054 + -8. Let m = 0.0540027 - v. What is m rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 18 = 4*l, -l - 5 - 3 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0) + 1 + 0. Suppose 6 = 3*r - u*r. Let n(m) = 2*m**2 + 3*m - 3. Is n(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 321808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 508196937?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 149870 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73 and 292.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*d + 5*d, -d = -t + 1. Let g be 69\/((5\/(-45))\/(t\/(-9))). Calculate the highest common factor of 36 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7653629954*i**2 - 7653629954*i**2 - 183*i**3.\nAnswer: -183*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1933205 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 1:29 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*f = -4*v - 40, -f - 4*v = 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000101 - 101101111?\nAnswer: -11010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-6)\/(-4)*10\/3)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 8581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457663452.\nAnswer: 2, 3, 617, 61813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49.5 + 35.5. Let i = l - -13.9999304. What is i rounded to six dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 407363.\nAnswer: 1629452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-189*t**3 - 105*t**2 + 3*t - 120*t**2 + 228*t**2)*(0*t + 2*t - 4*t) in the form o*t + z*t**3 + a + v*t**4 + g*t**2 and give v.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58, -66, -208, -380, -594, -862?\n\"Answer: -2*g**3 + 3*g**2 - 119*g + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(60)\/(sqrt(20)\/sqrt(4)) + sqrt(12)) + -3.\nAnswer: -3 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*b + 23 = 10, -24 = -4*f + 4*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*n + 35, 5*n + 4 = 7*n - 4*j. Suppose -k + 4*y - 2*y = -n, 4*y - 4 = -5*k. Calculate the remainder when 11 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -105*v**2 - 1876*v + 1875. What is b(1)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 208 + 3. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1792) - sqrt(1792)*2)\/(sqrt(44)\/(sqrt(88)\/sqrt(8)*-6)).\nAnswer: 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.4911 and -716110753.\nAnswer: -716110751.5089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -5 + -2 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**3 - 504*y**2 - 514*y + 1024. Let g(p) = -27*p**3 + 1509*p**2 + 1541*p - 3072. Let v(k) = -2*g(k) - 7*j(k). Let v(t) = 0. What is t?\nAnswer: -2, 1, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.017 and 3.\nAnswer: 3.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 401, -5, 4, 35 in decreasing order.\nAnswer: 401, 35, 4, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1431*i**2 + 716*i**2 - 12*i**3 + 715*i**2 - 2 - 2*i to d + u*i + n*i**2 + x*i**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421199398?\nAnswer: 2, 210599699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 47. Suppose n - 4*v = 9, -2 = v - 1. Which is the second biggest value? (a) -2.4 (b) q (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 + -3 - 0 - 15) + (0 - 34)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.99 + -0.01. Let h = 21.18149 - 1.17929. Let g = h + t. 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: Is 453\/((-4)\/(-2 - 2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k**2 + 6*k - 4 + 3*k**2 - k**3 - 2*k**2 + 3. Determine x(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.6 + -54.4. Let r = x - -90. Let o = r - 26. What is the closest to 2\/7 in -2\/7, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004901789178 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -4 - (0 + -2). Let q be 3\/h + (-94)\/104. Let r(y) = -y**3 - 13*y**2 - 37*y + 20. Let l be r(-8). Which is the nearest to q? (a) 4 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120a61 (base 13) to base 6.\nAnswer: -13115332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10430, -10541, -10844, -11435, -12410, -13865, -15896?\n\"Answer: -16*r**3 + r - 10415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 111317 - 473?\nAnswer: 110624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -18. Let o(b) = 3*b**2 + 27*b + 9. Let p(n) = -2*n**2 - 18*n - 6. Let r(f) = -5*o(f) - 7*p(f). Let z be r(l). Solve -m + z*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 6*h - h - 3*h - 3*h - 2*h + 3*h + (-2 - 2 + 2)*(-4*h - 19*h + 63*h) in the form m*h + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 180*b**2 - 185*b.\nAnswer: 5*b*(b - 1)*(b + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 44748300 to the nearest one hundred thousand.\nAnswer: 44700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 828066 and 214194?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Let z(j) = 4*j**x + 0 + 3 - 3. Let o(c) be the third derivative of 5*c**4\/24 + 57*c**2. Determine o(z(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = d - 16 - 20, 3*d = -12. Find the common denominator of 156\/8*2\/y and 121\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13667281 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -4. Let k = -10 + x. Are 8 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 11) in base 3?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4484\/105 - -298\/7. Let t = 0.24 - 0.3. Let x = t - 3.94. What is the biggest value in g, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.235 plus 0.1042968?\nAnswer: -1.1307032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(22)\/sqrt(2))**2 + ((sqrt(275) + 0)**2 - sqrt(11)).\nAnswer: sqrt(11) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-17)*u**(-9\/4)*(u**(-13))**22 assuming u is positive.\nAnswer: u**(-1217\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/8 + 20009*o**3\/4 - 15006*o**2 + 60023*o\/4 - 40015\/8.\nAnswer: -(o - 40015)*(o - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 4, v: 7}. What is prob of picking 1 c and 1 v?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/6 + (-1435)\/15. Let k = 69 + t. Let i be k\/(-6) + (-12)\/18. Let b(a) = a + 3. What is b(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - 1. Let k be (l\/(-4) - 3) + -77999. What is k rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/10 and -65\/3378.\nAnswer: 16890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3.5. Let g = -1\/4 + 0. Sort -1, c, g in descending order.\nAnswer: g, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (7 - (-4 - -1 - -13))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 740980.7 centuries to decades.\nAnswer: 7409807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 15392?\nAnswer: 3\/3848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 195*q**2 - 548049*q - 44*q**2 + 548056*q + (0*q + 3*q - q)*(-6*q + 3*q + 2*q).\nAnswer: 149*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 13*h**7\/210 + 17*h**4\/24 + 13*h**2. What is the second derivative of f(w) wrt w?\nAnswer: 156*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 66813*l. Let k(y) = -44*y. Give u(k(t)).\nAnswer: -2939772*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6403726 or 6403721?\nAnswer: 6403721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 - -10000110011000111?\nAnswer: 10000110011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*b - 18. Suppose -5*u - z + 16 = 0, -b*u + 2*z + 20 = -0. Solve r = u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/33? (a) -1\/8 (b) 0 (c) 1.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1712616686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i - 82 + 82)*(3*i**2 - 3*i**2 - 2*i**2) + i**3 + 4*i**3 - 3*i**3.\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1693340 divided by 4\nAnswer: -423335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnrppmpppmppnmkpm. What is prob of picking 1 m and 1 n?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-589 + 17*f + 589)*(3 - 11 - 14) + (4 - 1 - 4)*(-f + 2*f + 0*f).\nAnswer: -375*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16312 and 35517341.\nAnswer: 284138728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/176 and -69\/28?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*z, -5*o - 26 = -o + 3*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.38389 to zero dps.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -0.5, 56\/9, 5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 32. Suppose q*j - 29 = 5. Let s = -25 + j. Let p(x) = -2*x - 12. Determine p(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 4.899 (b) 4\/5 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2560071154, 2560071153, 2560071152, 2560071151?\n\"Answer: -c + 2560071155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggcggcggjjgg. What is prob of picking 1 c, 1 j, and 1 g?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2110)\/(-8) - -4)\/(2\/(-8)). Let r = 1635 + p. Suppose -33*x + 37*x - r = 0. What are the prime factors of x?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((1 - 0) + -3). Let n = a + 5. Solve -n*b + 0*b + 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 1. Suppose 2 = 10*v - 9*v. Suppose 2*l = -6, 1 = -5*j + v*l + 2. Let p(m) = 5*m**3 - 3. Calculate j*p(t) + 3*n(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(448) - (2*sqrt(448))**2) - ((sqrt(21)\/sqrt(3) - sqrt(7)) + 4 + (5*sqrt(112))**2).\nAnswer: -32*sqrt(7) + 4364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 961.9353 + -962. Let m = r + 0.063. What is m rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeceecee?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from mmrmmmmm.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/5 - 156*g**3\/5 + 738*g**2\/5 - 584*g\/5.\nAnswer: 2*g*(g - 73)*(g - 4)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*u = 0, 5*m - 4*u - 13 = 5. Suppose -3*g = m*g. Suppose -4*r + 39 = 3*a - g*r, 5*a + r - 82 = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - z + 12 = -5*g, 5*z + 4*g + 36 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 5*p - 4. Let m be i(-3). Let -j - m*j**2 + 0*j**2 - j + 5*j - 1 = 0. Calculate j.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-6*f**4 - 2*f**4 - f**4).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 + (-1 - -3 - 1). Suppose -f = -6 - o. Let s = f - 7. Are 9 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 + -41615?\nAnswer: -4164b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t - 122 + 22 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -25. Let q(s) = 1 - 2*s**2 + 0*s**2 + 7*s**2 - 4*s**2 - 4*s. Determine q(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 15. Suppose o = -0*p - p. Let u(f) = 7*f - 2. Let q(t) = 56*t - 2 + 61*t - 164*t + 55*t. Determine p*q(m) + 6*u(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -116, -245, -404, -581, -764, -941, -1100?\nAnswer: -1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 8:41 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2936 times -0.2?\nAnswer: 587.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4450809?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 707 + -707.1. Let u(f) = -f**3 + 4*f**2 + 5*f + 2. Let z be u(5). Let h(l) = 3*l**2 - 2*l - 3. Let n be h(z). What is the closest to 1 in q, n, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4775 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*v + 4, 4*v = 5*v - 2*k - 6. Is v\/6*(-13173)\/(0 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*m + 2*m - 17*m)*(-26 - 8*m + 26) - m**2 + 2*m**2 - 2*m + 4*m**2.\nAnswer: 221*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 6) + -19 - 4. Let l = 61 + k. Suppose l = 2*n - 12. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4, -2526, 0.5, 2\/3 in descending order.\nAnswer: 2\/3, 0.5, 0.1, -4, -2526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 451, 18643, -5 in decreasing order.\nAnswer: 18643, 451, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 23*m - 103. Let n be h(5). Calculate the greatest common factor of n and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194 by -796844.\nAnswer: 97\/398422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4 + 10 - 2*u + 5 + 3. Let m(l) = -l**2. Give w(m(y)).\nAnswer: 2*y**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*l - 1)*(1347*l + 1355*l + 410 - 2698*l).\nAnswer: 8*l**2 + 820*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(50\/5)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - r = -14, 3*u - r = 4*r + 22. Suppose -2*n - 19 = 5*j, 3*n - j - 34 = u*j. Suppose -n = l, -5*l = -3*m - l + 222. Is 35 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675380 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*x + 450*x - 712 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4\/24 + 5*p**3\/3 - p**2 + 7. Let l(w) be the second derivative of f(w). What are the prime factors of l(10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 5:48 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4502 + 4501.98. Which is the nearest to -5\/3? (a) d (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 3:51 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 10*b**2 + 9*b + 13. Let l be 2*67*(10 + -9). Let n be (-4)\/(-24) + l\/(-12). Is 7 a factor of o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 5*t**2 - 8*t - 11. Let l be g(-4). Factor 26*o - 14 + 4*o - l*o**2 - 13 + 2.\nAnswer: -5*(o - 5)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z**3 + 3*z)*(5 - 2 - 1) + (3*z**2 + z**2 - 5*z**2)*(-6*z + 2*z + 3*z).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 - 528*y**2\/5 + 34314*y\/5 + 70756\/5.\nAnswer: 2*(y - 133)**2*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1463518 + 60.7.\nAnswer: -1463457.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -31*d**5\/60 + 7*d**4\/12 + 20*d**2. What is the second derivative of y(k) wrt k?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1 = 3, 5*m = u + 72. Suppose -3*d + 26 = -1. Let i = m - d. Solve i*r + 13 = 3*x + r, -r + 2 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/2 + -1 - -5. Let c(t) = t - 1. Let k(p) = 3*p - 1. Let x(b) = 7*c(b) - 4*k(b). Let y(q) = 6*q + 4. Determine z*x(h) + 3*y(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -492, -493, -494, -495?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*-1 + -1.\nAnswer: -2*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -1\/20*i**5 - 3*i**2 + 5\/12*i**4 + 0 - 2*i + 1\/6*i**3. Give l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.47 * -0.336\nAnswer: -0.15792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -5*x + 5, -4*x + 3*x - 3*n - 10 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:32 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 7389 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16904 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**21*l)\/(l*l*l**(4\/19)))**(-22))**46 assuming l is positive.\nAnswer: l**(-380512\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -4. Calculate the remainder when 30 + 15700\/(-525) + 2768\/42 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 24 = 4*m. Let a = 10 + m. Let d(z) be the third derivative of -z**6\/120 + z**5\/15 - z**4\/12 - z**3\/6 - z**2. What is d(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 881796.43 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1756*i - 1756*i - 3*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -7779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 - 57*u**3 + 66*u**2 + 120*u.\nAnswer: -3*u*(u - 2)*(u + 1)*(u + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2 - -28) + (-8484 - -8395).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*15\/(270\/(-18)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, 3\/8, -0.4, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o**2. Let y(v) = -8*v + 6. Give n(y(a)).\nAnswer: -448*a**2 + 672*a - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*v + 22. Suppose -171*j + 175*j = 68. Solve -5*p - v = j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145 + 411 - 1377 + 412 + 409 + 2780*r.\nAnswer: 2780*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + r + 6*r - 5*r + 5*r + r**2.\nAnswer: r**2 + 7*r - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 13*g - 5. Let n(u) = 21*u - 8. Let b(c) = 5*n(c) - 8*v(c). Let l(o) = -o**3. Calculate -b(w) - 2*l(w).\nAnswer: 2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 5. Suppose 76*p - 21868 = 5*p. What is the greatest common divisor of p and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 - (-294)\/35 - (-2)\/(-10). Let j = -12 + 17. Suppose -4*k + 4 = 4*z, 4*z - 2 = -j*k - 0*z. Sort k, 1\/9, p.\nAnswer: k, 1\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376544502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 times 0.5?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*g - p, 5*g - p + 3*p = 10. Let b = -18 + 23. Solve -b*d - 2*j = -13, 3 = -d - 4*j + g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4246 - 1974 - 1942)*(-1 - 2 + 4)*(-18*s - 6*s**2 + 18*s).\nAnswer: -1980*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000161949847 to 6 decimal places.\nAnswer: -0.000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 q, and 1 o when four letters picked without replacement from qkknykoqooooniioiy?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5166598 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 6. Let q be g(-8). Factor 0*f + f**2 - q + 4 + 3*f.\nAnswer: (f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 5*c - 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**4 + 16074772*s**3 + 171557819*s**2 wrt s.\nAnswer: -48*s + 96448632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4554 and 3417156?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2989\/176 or -16?\nAnswer: -2989\/176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3)\/(7 + -1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(800) - (-3*sqrt(800) + sqrt(800)))*6*-2)**2.\nAnswer: 2880*sqrt(2) + 1036804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 8:00 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103457*w**3 - 31*w**2 - 14*w.\nAnswer: -620742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u*w**4 + 4*u*w**2 - 513*u + 10*w**4 - 25837*w**3 - 394*w**2 wrt w.\nAnswer: -24*u*w + 240*w - 155022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*b**5 + 11*b**4 + 8201*b**2.\nAnswer: 3240*b**2 + 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiuuiuuiiiiiiii. What is prob of picking 2 i?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/2 + f**3\/6 + 18*f**2 - 3*f + 4. Differentiate n(p) wrt p.\nAnswer: 12*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -52 + 3\/((-9)\/12). Let a = 47 + s. Let i(x) = -x**2 - 10*x - 3. What is i(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(648) + (sqrt(648) - sqrt(648)*-2)) + (sqrt(1331) + -1)**2*-4)*3 + 4.\nAnswer: -15980 + 3169*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -7\/1345, 8\/11, 4, -0.55 in ascending order.\nAnswer: -0.55, -2\/7, -7\/1345, 8\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*x - 190, 4*t + 3*x + 0*x - 152 = 0. Calculate the greatest common factor of t and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, -3, -1 in decreasing order.\nAnswer: 21, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -3544\/5 and -710 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*g - 14, -2*g - 10 = 4*x + 4. What is the second smallest value in 4, g, 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5}. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 9*n**2 - 10*n + 3. Let x be w(10). Solve 0*d + x*d = -15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, g: 4, j: 8, f: 5}. Give prob of picking 2 f.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, -0.4, -61, -5, 2, -4\/17 in increasing order.\nAnswer: -61, -5, -0.4, -4\/17, 2, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjkkjjkjuckcekeekuc.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0*z + z - 2*z. Let c(n) = -2*n**2 + 390 + 0*n**2 - 390. Calculate t(c(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3059, 2808, 2279, 1472, 387?\n\"Answer: -139*w**2 + 166*w + 3032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 2684.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3*sqrt(5040) - sqrt(5040))*-3)\/(((sqrt(220)\/sqrt(4) + sqrt(55))*5)\/(sqrt(11) + (sqrt(11) - sqrt(33)\/(sqrt(3)*1)))).\nAnswer: 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1341672 = 2*u + 374794, -k + 2*u + 429109 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + r + 8 = 0, -4*c + 5 - 1 = r. Suppose c*j - 5*i - 64 = -3*i, j + i - 28 = 0. Calculate the smallest common multiple of j and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*f, 0 = -p - 4*p + f - 19. Let g(j) = -35*j**2 - 6*j - 25. Let a(m) = -70*m**2 - 10*m - 50. Let n(t) = p*a(t) + 5*g(t). Differentiate n(i) wrt i.\nAnswer: 70*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**32)\/w*w\/((w**(-28\/5)*w)\/w) assuming w is positive.\nAnswer: w**(198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 4*l**3\/15 + 28*l**2\/5 - 12*l + 580. Factor w(c).\nAnswer: 4*(c - 1)*(c + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258201, -258228, -258281, -258366, -258489?\nAnswer: -258656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 = t, -4*t = 5*g + 4. Suppose 25 = -g*f + 5*f. Solve -v + 5*v + 20 = f*p, 2*p + 4*v = 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m**2 + 4*m + 1. Let x(h) = 2*h**2 - 4*h - 1. Let z(v) = -5*o(v) - 5*x(v). Let w(f) = 115*f**2. Determine w(z(n)).\nAnswer: 103500*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 45. Let q be m(5). Let y be (-7)\/q - 104\/(-20). Let o(l) be the first derivative of l**2\/2 - 10*l - 2. What is o(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/5 + 142665642*k**3\/5 + 2544185889907474*k**2\/5 + 7632556671062958*k\/5 + 5088370923821124\/5 = 0. What is k?\nAnswer: -35666409, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5906077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 + 362\/9. Suppose -40 = -22*i + 12*i. Suppose h + 48 = i*k. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, g: 5, x: 4, b: 1}. Give prob of picking 3 x.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 42 = 3*y + 4*l, -l + 3 = 0. Suppose -4 = -y*p - 0, -71 = -o + p. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*o + 7125 + 51. Differentiate 82*u**3 + 5*u**4 - 3*u**4 + 159 + o*u - 184*u with respect to u.\nAnswer: 8*u**3 + 246*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100552533 + 4?\nAnswer: 100552537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 14664*u - 4353640.\nAnswer: -2*(u - 7022)*(u - 310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 322408 - 22*a - 322408. Let t(z) = 2*z**2 + 42. What is n(t(g))?\nAnswer: -44*g**2 - 924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 + 2 + t + 0*t**2 + 3*t**2. Let y be h(0). Factor 4*l - y*l**2 + 0*l**2 - 2*l.\nAnswer: -2*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.818 * -161.3\nAnswer: -131.9434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3 + o**2 + 10*o**2 - 20. Let q = 27 - 61. Let a(r) = -2*r**2 + 3. Let f(s) = q*a(s) - 6*x(s). Let l(t) = -6*t. Give f(l(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 216\/228827 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209937.6 millilitres to litres.\nAnswer: 209.9376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h + 712 = 136 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 235848267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 288 or 113361\/395?\nAnswer: 113361\/395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(9\/(-21)) + -2. Let i be -2 + -2 + (-70)\/(-17). Put i, a, -4 in decreasing order.\nAnswer: a, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 310.719 + -0.719. Let z = t + -310.08. What is the third smallest value in z, 4\/5, -8\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020567 (base 8) to base 9.\nAnswer: 452310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 875778 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + g - 1 + 2, -2*d - 4*g - 4 = 0. Let r(q) = q**3 + q - 3. Let x be r(d). Is -2 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 502201392 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 3. Let j(g) = -3*g - 1 + 7 - 3 - 3*g**2 + g**2. Let f be j(1). Which is the nearest to -1? (a) f (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -34614162?\nAnswer: -34614160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3718 + -3a0?\nAnswer: 3378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450149 is divided by 9785?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 9:04 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 133?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 41*y**3 + 8*y**2 - 222. Let q(g) = -82*g**3 - 14*g**2 + 443. Let r(z) = 7*a(z) + 4*q(z). Differentiate r(w) with respect to w.\nAnswer: -123*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 10. Suppose 0 = 5*w + 52 - 197. Let h be 0 - (0 + u - w). Calculate the greatest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 319, 166, 15, -134?\n\"Answer: q**2 - 156*q + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -j - 9, 5*o - 3*j + 2*j + 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.9 - 0.1. Let m = 13 - v. Sort m, -21, 0.1 in ascending order.\nAnswer: -21, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*c**2 - 9*c**2 + 2*c**2 + (0*c + 0*c - 2*c)*(0*c + 0*c + 2*c) in the form i + m*c**2 + r*c and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(12) - sqrt(60)\/sqrt(5)*-3).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d + 2*d + 1 + 0 + 3 + 7. Let s(h) = 10*h - 24. Let l be s(3). Let m(a) = 2*a - 6. Give l*o(w) + 11*m(w).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1576\/(-40) - (-9)\/(-15). Sort f, -2, -5 in ascending order.\nAnswer: f, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/6 and -35\/712872?\nAnswer: 712872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = 4. Suppose t*m - 390 = -2*z, 4*z + 222 - 2 = 2*m. What is the greatest common divisor of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = 39. Let s = 17 - l. Solve 5*r + 35 = 5*g, 4*g - r = 4*r + s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (56\/(-16))\/((-1)\/32)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/18 - 1\/2. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s = 0. Let j(b) = b**2 + 9*b + 2. Let l be j(-9). Let y be -4 + l + 0 - -1. Is s greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26810920 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 59150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(80) - 2*sqrt(80)*4)\/sqrt(4).\nAnswer: 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d197 + 5?\nAnswer: 1d19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 4)*(-3*k + 3*k - 2*k**4) + 3*k**4 - 2*k + 2*k + 42*k**4 - 29*k**4 + 24*k**4 to the form g + w*k**3 + b*k + y*k**4 + t*k**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2039 - (-55)\/5)\/(1 + (-5)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(-1)\/(((d*d**(1\/7))\/d)\/((d*d\/d**(-1\/3))\/d)) assuming d is positive.\nAnswer: d**(167\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 39.1. Which is the nearest to -20? (a) -1 (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72763*s**3 + s**2 + 340*s + 52?\nAnswer: -436578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1326 and 204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20582, 41161, 61740, 82319?\n\"Answer: 20579*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -29 - (5 + -8)) + -2. Let i be h - ((-10)\/14)\/((-16)\/112). Which is smaller: -91\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 1, v: 2, w: 1, t: 1, m: 2}. Give prob of picking 1 v and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/15)\/(24\/9)*-3.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 51\/5 of a millennium?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 114*j - 3*j**2 - 114*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 26 = -16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 2, o: 1}. What is prob of sequence saa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/44)\/((-36)\/(-80) + 9\/(-45))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748179 is divided by 465?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 325, 533, 871, 1345, 1961?\n\"Answer: f**3 + 59*f**2 + 24*f + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/11 (b) 307 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-105)*(-140)\/(-40). Which is the biggest value? (a) j (b) -1.8 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b - 435. Let s = b - 62. Calculate the remainder when s is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**4\/4 + 5*l**3\/3 - l**2 + 4. Let y be q(3). Solve k = 4*g - 4, -4*g + 5*k - y = -0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 0.1, -1, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -116, -108, -100, -92?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.312612171 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -252812919*z**3 + 4*z**2 + 19595*z - 161.\nAnswer: -1516877514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 91*d + 124. Give q(-89).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/3 - 1\/3. Let v be 3\/9*1*6. Suppose 12 = -6*a + v*a. Is m greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**4\/8 - p**3\/3 + 2*p**2. Suppose 0 = -3*n - 3*r + 3, -3*n + 5*r = 37 - 0. What is the tens digit of k(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -0.01?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64554 + 64556. Let t = 8 + -3. Put t, 0, z, -29 in increasing order.\nAnswer: -29, 0, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 18\/10*((-1183)\/(-147) - 2\/(-7))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w - 11. Calculate f(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 12:57 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0156? (a) -8 (b) 1 (c) 3 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -1598386763?\nAnswer: 1598386766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103.66 - 103. Let w = 0.6599929 - l. Round w to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 197729?\nAnswer: 19772.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 78*t + 1516. Let v be f(-42). Solve -2*m + 3 = -11*y + 16*y, -1 = -5*y - v*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 w when four letters picked without replacement from {k: 3, q: 7, w: 9}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 168657 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(216))\/(-2*sqrt(48)) + -1.\nAnswer: -9*sqrt(2)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 432\/(-96)*4\/(-6). Let t be ((-27)\/36)\/(j\/(-8)). Solve -16 = 4*l, 5*a - t*a + 4*l + 7 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**5\/20 - n**4\/4 + n**3\/6 + 7*n**2\/2 - 4. Let l(o) be the second derivative of r(o). Does 16 divide l(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40677 and 299481?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d. Let a be t(-1). Let z(j) = -1 - 2 - 1 + 3*j - a*j. Calculate z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42041471*m*o**2 + 250503540*o**2 wrt m?\nAnswer: -42041471*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 13529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.16*0.0262\nAnswer: -0.004192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/50*2\/(36\/45)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/5, 1.3, -2\/7, 0.3, -6.89?\nAnswer: -6.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 13*i + 189 = 0. Let z(u) = 22*u + 2. Let o be z(-2). Let y be o\/((-4)\/(4 - 2)). What is the greatest common factor of i and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20483214421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-172)\/688*(0 - (5\/(-2) + 2)). Let i = 1131 + -84823\/75. Sort -3\/2, i, 5, g in ascending order.\nAnswer: -3\/2, g, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7) - 6120\/42. Let d = -77 - x. What is the remainder when d is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-3))\/((-2)\/31). Let v(t) = -1014*t - 8101. Let m be v(-8). Are k and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 13*c + 17. Let q be x(-14). Let n(p) = -3 + 0*p**3 - 2 + 3*p**2 - p**q + 4*p**2. What is the units digit of n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 12:15 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 32*h. Let b(t) = 115998*t. Determine b(i(w)).\nAnswer: 3711936*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1184 - 788. Let v be -2 - 15\/(-9) - 48\/(-9). Suppose 176 = v*c - c. Calculate the greatest common factor of c and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/95729206?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -461 divided by 2\nAnswer: -461\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -162 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5*m - 40 = -15, -3*h + 13 = -4*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16780049 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a = 3*q - 93, -4*a + 4*q = -100. Let f be 54\/21 + 9\/a. Suppose -f*n = -39595216 - 11104784. What is n rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/16378 and -1\/3017.\nAnswer: 114646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:32 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16359.999903384 - -16360. Round j to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 335 by 5.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oool when four letters picked without replacement from loloo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 140*j**4 + 13644256*j**3 - 389976*j**2 - 13644256*j + 389836 = 0.\nAnswer: -97459, -1, 1\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5)\/v**(-1\/2))\/(v**(-5)\/(v\/((v\/(v\/(v*v\/(v*v\/(v\/v**(-2\/15)))*v)))\/v))) assuming v is positive.\nAnswer: v**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -143*m - 63 + 25 + 38 as i + l*m and give l.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**4\/4 + 5*p**3\/3 - p**2 - 4*p + 9. What is h(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2 = -m + 5, -3*o + 6 = 2*m. Suppose o = 3*t - 17 - 1. Solve 2*k - 12 = t*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9717*b - 29427. Give i(3).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 20*q**2 - 31*q - 61. Give w(18).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9\/4*(1848\/9)\/7 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - -3) + -9 - -8) + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 25*n + 39. Let i be l(11). Suppose 0 = -8*s + 3*s - 2*p + i, -3*p = -4*s + 14. Solve -10 = -3*f + s*t, 2*t + 5 + 5 = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54152*19\nAnswer: -1028888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (-29 - -47) + (3 + 0 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4698638 - 135.\nAnswer: 4698503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**5\/20 + q**4\/3 - 5*q**3\/6 + q**2\/2 + 3*q. Let d be k(2). Calculate the common denominator of 2 + (-1)\/2 + d and -91\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 7:26 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5851*t + 5487*t - 4629*t - 9254*t - 9259*t in the form y*t + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 203617, 407234, 610851, 814468?\n\"Answer: 203617*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 64, 9, 3, -4?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32.3*0.0048.\nAnswer: -0.15504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 116476\/29118)\/(377\/39 - 10). Do u and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 12. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-39)*v)\/(v**(-1\/85)*v)*v\/(v*v\/(v\/v**(-5\/4)))*v**12 assuming v is positive.\nAnswer: v**(-8411\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1073*z + 1066*z + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/13, 6174, 2\/5, 1.7, -3\/5, -1\/3, -2\/3?\nAnswer: 6174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/(-24)*5*42\/350?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2. Let r(d) = 4*d**2 - 5. Let z(f) be the first derivative of f + 7. Let x(j) = r(j) + 5*z(j). Give w(x(c)).\nAnswer: -48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2990 + 2987. Let n be ((-2)\/(-3))\/(1 + 7\/(-3)). Which is the biggest value? (a) n (b) 0.3 (c) f (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*r - 5, 6*r - 22 = 2*h + 4*r. Suppose -3 = -v + 2, 2*d + 2*v - 166 = 0. Let g = d + h. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 6:44 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*v + 471. Let u be v\/5 + (-15)\/(-25) - -1. Let q be 27\/(-4) + u\/44. Let c(a) = -a**2 - 9*a - 2. Determine c(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + 38*x + 26. Let s be j(-12). Solve -5*y + 3*k + 9 = 0, -5*y + 4*k = -3*y + s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11 - o + 5 + 3. Let q be p(-5). Suppose q*x = 5*x - 3. Calculate the least common multiple of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -5b?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*c + 111 - 846, 159 = c + 2*x. Let s = c + -124. Solve -s = 5*f - 5*k, 2*f + 2*k + k = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 1 - 1 + 6*x + 8 - 3.\nAnswer: 11*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -79*i**3*x**2 + 2*i**3 - 79535*i - 146*x**2 wrt x?\nAnswer: -158*i**3*x - 292*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108) + sqrt(108))*-1.\nAnswer: -12*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 - -1637\/13. What is the second smallest value in 4, f, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 3*t + 20 = 0, 10 = 10*v - 8*v + 3*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -622018*c**5 + 2*c**4 - c**3 - 2946585*c + 1 wrt c.\nAnswer: -12440360*c**3 + 24*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7275344 divided by -454709\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1627 and 661.\nAnswer: 1075447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = 6*z. What is the units digit of ((-3 - -77)\/z)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-1*150\/(-6). Suppose -t = -2*o - 47, 0 = 3*t - 3*o - 4 - 122. Let y = t - i. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -23 + (-1 - -9) + -6 + -5\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44042?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 16740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 303, -3.\nAnswer: -3, 0, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13719992*f**5 - 180877023*f**2 wrt f.\nAnswer: -823199520*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/4060797 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513 (base 6) to base 12.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770507?\nAnswer: 3, 127, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**2 + 350*s**2 - 184*s**2 + 895*s**2 + 8*s as b*s + x*s**2 + y and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516*b + 427 - 5071 = 0. Suppose 2*u = 3*x + 6 + 4, -3*u + 45 = 3*x. Which is bigger: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (9 + -62 - 17) - -15.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -17*l + 803. Let y be d(46). What is the third biggest value in y, -2\/13, -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 3*z**2 + 2*z - 3. What is y(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100108682.\nAnswer: 2, 17, 19, 353, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + u - 49 - 37.\nAnswer: u - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 516 divided by -6\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -0.09204.\nAnswer: 0.00796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Let o be (16\/(-10))\/(j\/10). Let x = -6 - o. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -38, -5, -1 in descending order.\nAnswer: 3, -1, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 8:59 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Suppose 10 = 4*x - o, -i*o + 0 = -2*x + 2. Let k be (12\/(-8))\/(x\/4). Which is smaller: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4 + 93369*c**3 + 4301463*c**2 - 4394829*c = 0. Calculate c.\nAnswer: -47, 0, 1, 31169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 2:46 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -15*u**2 - 2*u**3 + 75 + u**2 + 61*u - 58*u. Calculate the remainder when k(-9) is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31005361307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.097? (a) 7 (b) -5 (c) 45 (d) -33 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 0)*(-33)\/(-66). Solve 0 = -5*y - 4*a + 22, j = 3*a - 6*a + 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b48 + -5?\nAnswer: 2b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3945227 rounded to four decimal places?\nAnswer: 1.3945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 514, -1, -2956, -2 in decreasing order.\nAnswer: 514, 1, -1, -2, -2956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14442 divided by 312\nAnswer: -2407\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -191*w. Let g(t) = -8*t**2. Give i(g(v)).\nAnswer: 1528*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -162 from 18942.917.\nAnswer: 19104.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j + 2*j**2 + (j - j - 2*j)*(16*j - 12*j + 25*j).\nAnswer: -56*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112010233003 (base 4) to base 7.\nAnswer: -100120306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x = 52. Suppose 3 = -5*r + x. Let h(v) = 2*v**r - 4 + 4. Let i(j) = -2*j**2. Determine h(i(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11213003000132 - -3?\nAnswer: 11213003000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-336)\/22 - 273\/(-1001))*(0 + -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = 5*c + 3*r - 2, -11148*c + r = -11149*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) - 11\/(-4). Let k(x) be the third derivative of 8*x**2 + 0*x**4 - 8\/3*x**f + 0*x + 1\/5*x**5 + 0 + 1\/30*x**6. Solve k(l) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -2, 1, 4, -42476 in descending order.\nAnswer: 4, 3, 1, -2, -3, -42476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.8 - -25. Which is the nearest to -2\/7? (a) -0.2 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -754507, -3, -6 in ascending order.\nAnswer: -754507, -6, -3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80823, -81601, -82377, -83145, -83899, -84633, -85341?\nAnswer: -86017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-14)\/4*6\/(-42). Solve 1 = o - j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*o - 82, -2*o + 4*o - 86 = -4*t. Suppose 49 = 2*i - 2*d + t, 3*i - 5*d - 42 = 0. Calculate the lowest common multiple of 1 + 0 + i\/7 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-1)\/((-16)\/216)) + 8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4555058206 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cttitttfd. What is prob of picking 2 t?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(3 + 9)\/4. Solve -2*y + 5 = -h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 2*g**7\/21 - g**3\/3 + 7*g. What is the second derivative of r(o) wrt o?\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -18379.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from rqexqeeqqeqheq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 7*y**2 + 6*y - 3. Let d be x(8). Let p = d - -17. What is the common denominator of 18\/5 and (-119)\/((p - 3)\/(1\/2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17864 and 14397.69468.\nAnswer: -3466.30532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4)\/m)**41)**(-37\/5)*m**(-3)*m\/((m\/m**1*m)\/m)*m*m**(-2\/11)*m\/((m*m\/m**(5\/4))\/m) assuming m is positive.\nAnswer: m**(12519\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*y + 7, -8 = 2*s + 3*y + 6. What is the tens digit of (s\/5)\/(3\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.8 and 13.3.\nAnswer: 16.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2562.338809 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.1715241 - 0.2?\nAnswer: -31.3715241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -2 (b) -0.1 (c) 4\/11 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n**2 - 4*n. Suppose d + 1 = b, 2*b - d + 2 - 5 = 0. Let i(w) = 28*w**b - 6*w**2 - 20*w**2. Determine r(i(m)).\nAnswer: 36*m**4 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 15*m**4 - 4*m**4 + 2*m + (-m + m + m**2)*(m**2 + 3*m**2 + 2*m**2) + 12*m**4 - 2*m**4 + 0*m**4.\nAnswer: 27*m**4 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - -58 - (-2 + 14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51524*u**3 + 33394 wrt u.\nAnswer: -154572*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*y + 4*s + 36, 5*y - 103 = s. Let u = 35 - y. Calculate the least common multiple of u and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.55 * -0.3\nAnswer: -1.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 130 = 4*g. Suppose -g = 6*x - 7*x. Let c = -45 + x. What is the smallest common multiple of c and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**3 - 41*x**2 + 5*x + 52. Is 100 a factor of v(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69585*m**3 - 14*m + 445 wrt m?\nAnswer: -417510*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-725)\/12 - 5415\/(-12996).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from veveevnvnevnvvev?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33245 is divided by 127.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - 67. Suppose -w + 2*j = -j + 5, 4*w + j + 7 = 0. Sort c, 2, w in ascending order.\nAnswer: w, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 23*a**2 + 217*a + 514. What is h(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Suppose -5*t = 4*w - 8, w - 2*t + 5 - 7 = 0. Let 0 - 1\/2*a**4 + 0*a**3 + 1\/2*a**w + o*a = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2946.\nAnswer: -2\/1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 35 = 119. Calculate the remainder when 52 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*c - 17*c + 54*c)*(-3 - 6 + 4 - 2).\nAnswer: -112*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 2 + 0 - 6. Let m be p(8). Suppose -5*a = 2*o - 59, -a = -3*o - m - 14. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -213 - -218. Solve -2*f - 14 = -4*p, 0 = v*f - f + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/108*(-4)\/(-145)\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 4*a**3 + 2*a**3 + (0 + 4 - 6)*(4*a**3 + 0*a**3 - 2*a**3) + (-a**2 + 2*a**2 + a**2)*(26*a + a + 27*a) + 2*a**3 - 23*a**2 + 26*a**2 - 3*a**3.\nAnswer: 108*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 + -1)\/(6\/32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(5\/2)*(-96)\/48\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + 2*n)*(2 + 4*n - 2) - n**2 - n + n + (-2*n - 3 + 3)*(0 - 2*n + 0).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118496908.0000007 + 118497029. Let s = -121 + k. Round s to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 21, 18, -7, -66, -171, -334, -567?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (272*w - 272*w - 5*w**2)*(-5*w - 5*w - 4*w).\nAnswer: 70*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*l - 9 = 0, -3*m - 2*m = -5*l - 15. Let w be 1\/75*(-5595)\/3357. Which is smaller: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 7*q + 6. Suppose 3*z - 4 = -m, -2*m - 2 = -m. Suppose -z*d - 70 = -7*d. What is the remainder when w(-4) is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mddwdvdmmmi. What is prob of picking 3 d?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 478966 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4. Let k(n) = 7*n + 198. Let c(t) = -k(t) + 2*q(t). Calculate the lowest common multiple of c(-31) and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6629726*h**2*r**2 - 61*h**2*r + 1536*h**2 + 2*h*r**2 + 4*h wrt r.\nAnswer: -13259452*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 112211102?\nAnswer: 112211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/771 + -508\/2313. What is the closest to -28 in 0.4, 2\/19, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, -6, 0, 20341 in ascending order.\nAnswer: -6, -2, 0, 8, 20341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 62. Suppose -q*l - 2*u + 6 = -0, -37 = -4*l + u. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-9*(-5)\/15*2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 431490 and 7980?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(832) + -2 + (-4*(sqrt(832) + 1 - sqrt(832)) - sqrt(832)))*-6 - (sqrt(832)*1 + -2 - (-1*sqrt(832) + 3)))**2.\nAnswer: 6560*sqrt(13) + 84881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-309 - -29864313) + 8\/(-2). Round b to the nearest one hundred thousand.\nAnswer: 29900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 10844.\nAnswer: 65064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*h**2 + 2*h**4 + 8*h - 17*h**3 + h**4 - h**4 - 53*h**2 - 10*h as v*h**4 + f*h**3 + t*h + o*h**2 + n and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 29334774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkbwkkesk. What is prob of sequence kw?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = 2*c, 0 = -5*c - 2*s + 5*s + 36. Suppose 0 = 2*g + g - c. What is the common denominator of -33\/7 and 0 + g\/(-10)*2?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**2 + 6*l - 8. Let d(n) = n**3 - 4*n**2 - 5*n + 6. Let k be d(5). Let b(q) = 20*q**2 - 17*q + 23. What is k*b(f) + 17*i(f)?\nAnswer: f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 54 = g + 3*g, -4*t = -2*g - 84. Suppose -26 = -9*o + t. Solve 5 = -5*y + o*m, -6*m + m + 21 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22562 - -22565. Let y(h) = h - 5. Let q be y(7). Which is the closest to -3? (a) q (b) -1\/7 (c) 5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006288 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**10\/5040 + q**6\/120 - 2*q**3\/3 - 1. Let u(j) be the third derivative of i(j). What is the third derivative of u(k) wrt k?\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24032 by 4.\nAnswer: -6008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1586 and 8056514.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*v + 236 = 279, -5*y + 191 = 3*v. Solve y*u - 51 = 20*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**8\/6720 + 31*h**5\/120 - h**4\/12 + 2*h**3\/3 - 42*h + 1. Let j(d) be the third derivative of w(d). Calculate j(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2764435184.\nAnswer: 2, 7, 83, 347, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1))**(-11))**23)**(-3\/5) assuming q is positive.\nAnswer: q**(-759\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1989 is divided by 48?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 83 + 31 = 0. Suppose 34*f - m*f - 532 = 0. Calculate the remainder when 33 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 76.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 985573.5ml to litres.\nAnswer: 985.5735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4 + 4)*(-21*w + 8*w - 16*w)*(1 + 2 - 4).\nAnswer: 29*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (69\/(-92))\/(15\/40). Suppose -2*b = -0*b - 8. Suppose 7 = a + b*z, -5*a - 2*z = -3*a - 2. Which is bigger: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.88782 micrograms in nanograms?\nAnswer: 6887.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71118.18 nanometers in kilometers?\nAnswer: 0.00000007111818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-11 + (23 - 7))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/3320 and -11\/68720?\nAnswer: 5703760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 2\/9, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 150 times 0.0568\nAnswer: 8.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67.5 - -67.5000594. What is n rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 + p. Give z(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 13) to base 15\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 + 44\/(-16). Let c be 1 + -1 + (-10)\/4. Are q and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + t + 2, 0*d - 6 = d + 3*t. Suppose d = -11*o + 2497 + 3091. Let h = -255 + o. List the prime factors of h.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 5 - 10 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 11*z + 25. Let b be h(-6). Put 3, b, -4 in increasing order.\nAnswer: -4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 702932253*t - 245001487 with respect to t.\nAnswer: 702932253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -31*a**2\/2 - 1. What is the remainder when c(-2) is divided by (36\/(-3))\/(-2*51\/136)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -43. Suppose -4*d + 86 = 3*y - f, 3*d = -y + 39. Suppose -y = -2*t - 4*t. Solve -5*a = -t - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 22 in decreasing order.\nAnswer: 22, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006436357288 to five decimal places.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1630*r = -1613*r - 102 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/2989 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + (6 - 5) - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1573 and 15.299302.\nAnswer: -1557.700698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2 + 60. Let a(k) = 2. Let i(o) = -60*a(o) + 2*f(o). Let t(c) = -3*c**2. Let b(y) = 2*i(y) + 9*t(y). Let r(h) = 4*h. Give b(r(w)).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -605798 or -605796?\nAnswer: -605796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 532\/21 - 3\/9. Suppose 24*s - 139 = c*s. Let t = -55 - s. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1\/6*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idid when four letters picked without replacement from {d: 4, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from iaiaiaiiaaia?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*j - 5*c + 4*c, -5*j = 2*c + 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771941241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (0 + 2 + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(176) - -3*(sqrt(11) - -1*sqrt(11)).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*d - 6 = -127*d + 2*t, -5*d - t - 31 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 w when three letters picked without replacement from wssssssssjsjsws?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 2*z**2 - 2*z**2 + 0*z - z**2 + 0*z + (2*z - 2*z + 2*z)*(z - 5*z - 3*z).\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6084 and 34110.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 16*o + 216. Let v = o - -40. Suppose 0*x + x - 30 = 3*k, -v*k - 62 = -2*x. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from fsadepe.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/5*100\/40. Solve -j*y = -f + 13, 2*y = -f + y - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 8*o**2 + 9*o - 8. Suppose 0*z + 16 = -2*z - 2*v, -3*z = -4*v + 45. What is the least common multiple of 22 and t(z)?\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1952379963 and 2.546.\nAnswer: -1952379960.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3623, -7312, -11095, -14978, -18967, -23068, -27287?\n\"Answer: -a**3 - 41*a**2 - 3559*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/((-52)\/80*-40).\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234062 is divided by 5567?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-3)*(-81)\/18. Let f = -2 - a. Let z(r) = -r + 4. Let b be z(5). Which is bigger: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -731\/2 - -386. What is the common denominator of h and ((-15)\/20)\/((-4)\/(160\/(-9)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 5, i: 2, h: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*d = -10, -3*k + k + 5*d = -19. Let n be (4\/1)\/(1\/k). Let -g**5 - n*g**3 - 5*g**4 + g**4 - 4*g**2 - g**4 = 0. Calculate g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16417*r**2 - 8961*r.\nAnswer: 32834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + 7. Let h = -16 + o. What is the remainder when 107\/5 - (-6)\/(-15) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -72, 2, 79, -3 in decreasing order.\nAnswer: 79, 3, 2, -3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -45572 divided by -11393?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2782*q - 4038*q - 4754*q - 367*q.\nAnswer: -6377*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = q + 70, 4*q - 30 - 68 = 5*a. Let u = 23 + a. Solve 2*c + 4*z + 18 = 0, -u*c = 3*z - 0*z + 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(24552\/128))\/(3266\/14697)?\nAnswer: 8\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -47*u**2 + 6*u + 6. Let r(m) = 7847*m**2 - 1003*m - 1003. Let j(y) = -1003*g(y) - 6*r(y). Let q(i) = i. Give q(j(o)).\nAnswer: 59*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 4*u**2 + 4. Let b be x(-4). Suppose -3*m = 4*o - 34, b*m + 3*o - 8 = 7*o. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 8 = 2*j. Round j to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from {l: 6, h: 9, a: 4}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 107 times 3\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7)*u*u\/u**3)**18 assuming u is positive.\nAnswer: u**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 558614510?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19224 + 19226. Solve 1 = b + j*k, 2*b + 26 = -2*k + 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 119?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1167183 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8202683.\nAnswer: 8202683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10401646589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.90784 centuries to millennia.\nAnswer: 7.690784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1210331 - -11?\nAnswer: -1210320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22997\/14 - -1648. Find the common denominator of 83\/2 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11792*s - 117968. Calculate f(10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-45) - 154\/(-342).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6915690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-8))\/1*4. Suppose 142*o + 164 = 224*o. Solve b = w - o*i, -14 = 5*w + 3*i - i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 3) to base 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 3*r + 4*r - r as k + o*r and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4987, 19914, 44783, 79594?\n\"Answer: 4971*g**2 + 14*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 9 - ((-5 - -6) + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12211010 (base 3) to base 9\nAnswer: 5733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 104624 - 1400.\nAnswer: 103224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 62, 135, 262, 461?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -61 + 23?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2562\/5768*((-44)\/105 - (-26)\/91) and -69\/5150.\nAnswer: 5150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1431*z + 1726. Let m(d) = -1429*d - 1728. Let t(i) = -4*m(i) - 3*v(i). What is the first derivative of t(r) wrt r?\nAnswer: 1423","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 12. Let l(k) = -28*k + 14*k + 10*k - 6 + 5*k. Let d(q) = -1. Calculate f*d(c) - l(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -3\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*m = 17, 2*d - m + 0*m + 2 = 0. Let t = 2 - 3. What is the remainder when (t - -3) + 55\/d is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703792152?\nAnswer: 2, 3, 7, 51719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 8.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1104243 (base 6) to base 2.\nAnswer: -1101100001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiit when four letters picked without replacement from {t: 6, i: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03941 - 0.33941. Let z = 0.07 - 0.47. Which is the smallest value? (a) 1 (b) 2\/23 (c) k (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -119 - v**2 + 119. Let f(y) be the first derivative of -2*y**3 + y**3 - 3 - 1. What is o(f(k))?\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 44*q**2 - 1587992*q - 433092 = 0.\nAnswer: -3\/11, 36091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4228 is divided by 78?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204341757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/11, -3, -1\/21, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*h + 4*h + 6*h**2)*(3*h - 3*h**2 - 3*h) - h**3 + h**3 + h**4)*(102 - 113 + 140).\nAnswer: -2193*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*c + 18*c - 44*c + (2 - 1 - 3)*(3 - 5 + 1)*(0*c - c + 4*c).\nAnswer: -36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24462 + -3?\nAnswer: -24465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/24 - -1)*48\/(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(5\/3)*v*v**1*v**8*v*v**6\/v*(v\/(v\/v**(2\/5)*v))\/v**0*v*(v*(v*v*(v\/((v*v**(-2\/3))\/v))\/v*v)\/v)\/v*v*v*v**6 assuming v is positive.\nAnswer: v**(431\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 9*x + 6*x**2 - 2*x**3 - 4*x + 2*x**3 - 7. What is u(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -27804 + 27804 - 4*g. Let a(k) be the second derivative of -5*k**4\/12 - 3*k. Calculate a(q(p)).\nAnswer: -80*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x. Let v(k) be the second derivative of k**4\/3 - 2*k. What is v(l(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 493781 times 175\nAnswer: 86411675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 57, 9, 30, 3, -7, -2 in increasing order.\nAnswer: -7, -2, 2\/3, 3, 9, 30, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*x**3 + 2*x**2 + 126 wrt x?\nAnswer: -15*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250363, -250359, -250353, -250345, -250335, -250323?\nAnswer: -250309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Let x(i) = 3*i**3 - 1. Let m be x(1). Let o be -1 - 1\/((-2)\/(-6)). Put m, o, t in ascending order.\nAnswer: o, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 13 = -6*w + 26*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/5*c**2 + 1\/5*c**3 - 1\/5*c**4 - 1\/5*c.\nAnswer: -c*(c - 1)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1020*r. Let t(q) = -3*q - 163. What is t(f(y))?\nAnswer: -3060*y - 163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 20*k**2. Let v(s) = 17*s. Let i(f) = 4*f. Let r(m) = 9*i(m) - 2*v(m). Give r(p(d)).\nAnswer: 40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/13, -8\/9, 41, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**3 + 17*h**2 + 7*h - 17. Let n(z) = 2*z**3 + 8*z**2 + 3*z - 7. Let x(f) = -3*a(f) + 7*n(f). Suppose -3*w = 3*s - 0*s, 3*w + 4 = -4*s. Give x(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24619, -26370, -29289, -33376, -38631, -45054, -52645?\n\"Answer: -584*l**2 + l - 24036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2 - 980*d + 46500 = 0 for d.\nAnswer: 50, 930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) -3\/4 (b) -6 (c) -179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - -1524. Suppose 3*o = -5*i + 7*o + j, -1602 = -5*i - 4*o. List the prime factors of i.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 40\/80 - (-436)\/8.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/20*(-4 - -57). Is n < 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*h**2 + 5*h**3 + 2*h**3 + 12*h + 0*h**3 + 2*h**2 + 7*h**2 in the form c*h**3 + u*h + j*h**2 + x and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/2 + (-7 + -16 - -4). Let k be (2 + 16)\/(-6)*r\/(-3). Let z = -72 + 49. Are z and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 + 24*u - 64 + (2*u + 2*u - 7*u)*(-4 + 6 - 1))*(2*u**3 - u**3 + u**3).\nAnswer: 42*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-40)\/6)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + 3 - 7 - (-24 + (35 - 10))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.36, 2, 0.4, 9.472 in increasing order.\nAnswer: -0.36, 0.1, 0.4, 2, 9.472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 + 147. Determine w, given that -3*w - 8*w**4 - p*w**2 - w + 30*w**3 - 4*w = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 75. Let b = 2.4 - -0.6. What is the nearest to -2 in b, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -11\/2*f**4 - 98*f + 0*f**2 - 3\/20*f**5 - 121\/2*f**3 + 0. Solve a(t) = 0 for t.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43273 and 77.69.\nAnswer: -3361879.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*-2 + ((-28)\/8 + 3)*0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.2 (c) -2\/11 (d) 0.05 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*m - 1555 + 1547, 3*f = 3*m. What is the greatest common factor of m and 5636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 - -133. Let m be 27\/5 + 4\/(-10). Suppose -m*q - 5*g = 10, 0 = -2*q - g + 6*g + 10. Which is the closest to 1? (a) 1\/5 (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = u - 5*u + 396, -3*m + 327 = 3*u. Suppose 0 = -3*w + 2*y + 57 + u, -y + 251 = 5*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((490\/(-7))\/(-14)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b - 8. Let x be 4 + ((-20)\/b - 0). Solve 0 = j - 4*j - x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28619 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12746?\nAnswer: 2, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -356060 (base 7) in base 15?\nAnswer: -141bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b - b - 3*b)*(1 + 1 + 0)*(-4 + 0 + 0) in the form a*b + n and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22, -174 in ascending order.\nAnswer: -174, -22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -233 + 228. Let v(x) = 2*x + x + 3*x + x**2 + 9. Let z be v(a). Solve -n - 2*o = -5*n - 10, -4*n = -z*o + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26608897577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, w: 2, o: 8, y: 7}. What is prob of sequence uy?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Let a be 1*((-50)\/(-16) - c). Put a, 3, -2 in decreasing order.\nAnswer: 3, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3844, 7549, 11254?\n\"Answer: 3705*l + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {z: 2, m: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28\/25 in -0.5, 0.2, -1, 63?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 25. Let w = 35 + n. Solve -5*v + 26 = -3*f + 6*f, w = 4*f + 3*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) - 40\/(-6). Let y = -144 - -164. Suppose y = -p*l + 3*l. Put 0, l, -2 in decreasing order.\nAnswer: 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -14, -22, -30?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57237038 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 6)*(0*i + 113 + 5*i - 97 + (8 - 2 + 5)*(-2*i + 7 - 7) + 3*i - i + i) as g*i + m and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 1353724849*w**2 + 662274*w + 81 = 0. What is w?\nAnswer: -9\/36793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00351298186 rounded to 4 decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 156.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 4*u**2 + 2*u. Let p be y(3). Let v = 5 + -4. Let r = 0.7 - v. What is the second smallest value in r, p, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90.2 - 90. Let y = 0.1 - -0.9. Let z = y + -3. Which is the biggest value? (a) z (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fofbffqbbffbflfoqb. What is prob of picking 1 f, 1 l, 1 b, and 1 o?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5*x = -15, x + 6 = 2*t + 3*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 17 + 32 = 0. Solve 5*a + 14 = -s*c, 5*a + 7 = -c - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0.1. Let n = 59989.5 + -59989. What is the closest to u in 7, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2 + 3 - 2). Solve -2*b = -5*m + 26, -p*b - 17 = -4*b - 5*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -325?\nAnswer: 1\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -979999, -1960004, -2940007, -3920008, -4900007, -5880004, -6859999?\n\"Answer: u**2 - 980008*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 19, f: 1}.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -143567631 at most -143567632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z - 5*z)*(-42 + 42 + 418*z).\nAnswer: -1254*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -19*t + 2200 - 4426 + 2192 - t**2. Suppose 4*j + 0*j = -68. Let p be y(j). Solve p = 5*i - 2 - 23 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4*z = -10, -3*y - 4 = z - 16 + 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 127262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50642935 is divided by 495.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 - 407 - 407*m**3 + 409*m**3 + m**2 - 286 in the form w + l*m + c*m**2 + k*m**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 32*l - 1. Let s(g) = -33*g**2 - 21*g - 63. Let z(h) = -3*h**2 - 2*h - 6. Let f(j) = -2*s(j) + 21*z(j). Calculate i(f(b)).\nAnswer: 96*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/32)\/((3\/(-2))\/(-1)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27168\/11 + -816173\/330. What is the common denominator of m and 64\/141?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 223176647 + -223176671.0000034. Let s = -23.7 - 0.3. Let j = s - r. Round j to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -16 + (1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 477 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/13, 2 in ascending order.\nAnswer: 1\/13, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/12)*i*i*i**(-1\/15)*i*(i\/i**(-6))**(-27\/5))**(-2\/21) assuming i is positive.\nAnswer: i**(2087\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3926 is divided by 245?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**4 + 1004*h**3 + 43544*h**2 + 83104*h = 0. Calculate h.\nAnswer: -196, -53, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 45, -0.2, 0.129, 7, 24, 1\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1176 - -1979. Suppose -m = -5*h - 6*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 25. Let p be n(9). Let w = -14 + p. Suppose -z + 3*z = w*s - 40, 0 = s - 2*z - 25. What is the highest common divisor of 75 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 17*g**2 - 13*g - 2. Let r be p(16). Let q = r + 31. What is the second derivative of 16*k + 5*k**5 - q*k**2 + 77*k**2 wrt k?\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07547 - 7648.0438.\nAnswer: -7647.96833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -11. Let r(v) be the first derivative of 1\/3*v**t + 0*v**2 + 0*v - 3. Let k(a) = 2*a**2. Calculate r(k(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q**2 - 1. Let s be g(-2). Suppose -4*i - 5*f = 17, 2*f + 8 = -0*i - i. Is i\/(-3)*s\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30 - 32)\/((-33)\/(0 + -3)))\/1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 4:09 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6129 by 13.\nAnswer: -6129\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 369 = 76. Let h = l + -79. Let v(q) = 19*q - 32. List the prime factors of v(h).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-12))\/(24\/136) and -77\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31954746?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0*a**4 + 0*a - 5\/336*a**8 - 1\/2*a**7 + 11\/12*a**6 + 0*a**3 + 0*a**5 + 0 - 38*a**2. Solve b(g) = 0 for g.\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + d**3 - 3*d**3 + (1 - 2 + 3)*(0*d**3 - d**3 - d**3) - d**3 + 8*d**3 + 7*d**3 - d**3 + 3 - 3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 - 4*g**2 + 5*g**2)*(0 + 0 - 2*g)*(g - 3*g - 4*g) as n*g**4 + o + c*g**3 + y*g + k*g**2 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1. Let o(p) = 4*p**2 - 2*p + 8. Let a(t) = -o(t) + 6*r(t). Let x be (150\/(-20) + 7)\/(11\/(-22)). Give a(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4)*x**(-2\/15)\/x)**31 assuming x is positive.\nAnswer: x**(-2573\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -2*p**7\/105 - 2*p**3\/3 + 3*p**2\/2 + 1. Let w(q) be the second derivative of v(q). Differentiate w(a) with respect to a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003591694703 rounded to 7 decimal places?\nAnswer: -0.0035917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -819, -6482, -21839, -51738, -101027?\nAnswer: -174554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**2 - 36*m**2 + 19*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 541eb (base 16) in base 4?\nAnswer: 1110013223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 35*v = 1428. Which is smaller: -123 or v?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1335? (a) 1\/14 (b) -1 (c) 0 (d) 2\/15 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (864\/(-540))\/(1\/(-5))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 + -10000010101011000?\nAnswer: -10000010101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(sqrt(65)\/sqrt(5) + sqrt(13)) + -3.\nAnswer: -2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = 2*c + 116, 4*c - 68 = -2*k. Let u(p) = 6*p**2. Let b be u(1). Calculate the highest common divisor of b and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**6\/60 - 7*x**5\/30 + x**4\/24 + 7*x**3\/3 + 7*x**2. Let m be l(-11). Suppose -6*n = -205 - m. Is 49 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*b**2 - 3)*(-2 - b - 3*b + 2*b) + 6 + 6*b**3 - 6 + (1 - 1 - 4*b**2)*(0*b - 3*b + b) - 3*b**3 - 3*b**3 + 3*b**3.\nAnswer: 7*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -59. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(1 - 3) - 5944\/(-4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 600*r**2 - 87*r**2 + 60*r + 100*r - 4*r**3 + 2246*r wrt r.\nAnswer: -24*r + 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) 1\/9 (c) 3\/5 (d) -6\/7 (e) -43 (f) -54\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 216481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-39))\/((-18837)\/32292).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, k: 5}. Give prob of sequence cck.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 - 24*f**2 + 24*f**2 - 9803*f - 9799*f - 4*f**3 + 19602*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191412512.\nAnswer: 2, 179, 382579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*d**4 + 540425*d**3 - 540425*d**3)*(-1 - 3 + 0) to r*d + v*d**2 + j + q*d**4 + m*d**3 and give q.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4359067877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 12:23 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -24. Are p and -64\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 3. Let j be h(-7). Suppose 2640 = 6*m + 2*m. Let n = -220 + m. What is the greatest common divisor of j and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6938 (base 10) in base 14?\nAnswer: -2758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1568375597*u**3 - 208116081?\nAnswer: -4705126791*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-40)*(-4)\/12.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-2)*(10 - -2 - 10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 93*k**2 - 11*k - 8. Let v(j) = -266*j**2 + 30*j + 22. Let c(w) = -3*v(w) - 8*y(w). Let r(q) = 107*q**2 - 5*q - 5. Calculate -5*c(a) + 2*r(a).\nAnswer: -56*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 17, -13.\nAnswer: -13, -4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8871189139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2 + 4247550*a - 4247548 = 0.\nAnswer: 1, 2123774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.1 + 3.2. What is the closest to k in 3\/8, 2, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 3*f + 18, -49107*w + 9 = -49106*w - 0*f - 4*f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 1 - -3) + 2. Find the third derivative of b**6 + n*b**3 - 3*b**2 - 4*b**3 + 2*b**2 wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90226)\/(-1576) + (-15)\/(-4)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -9. Let r = -1.1 - -0.1. Let z = n - r. Which is the second smallest value? (a) z (b) -0.5 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z**2. Let w = 3 + -1. Let r be 4 + (-1)\/2*(-44)\/(-11). Let u(f) = 3*f**2 - f**r + 0*f**w. Calculate u(o(y)).\nAnswer: 162*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29507310 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = -4*m. Which is smaller: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215320 >= 215320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 4*b - 5. What is n(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67428504.\nAnswer: 2, 3, 11, 13, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 less than 20.85?\nAnswer: 20.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*n*y**2 - 2*n*y + 5*n - 67*y**2 + 254 wrt y.\nAnswer: 12*n*y - 2*n - 134*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239 = 61*a + 798 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67a3 - -4?\nAnswer: -679f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 42*v**2 + 546*v + 22926. What is f(-42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2536\/3 - -849. Find q, given that 2\/3 - v*q**3 + 7\/3*q + 4\/3*q**5 + 5\/3*q**4 - 7\/3*q**2 = 0.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**2*z)*z)**(-46)*z\/z**(2\/3)*z*z*z*z**6\/z*z assuming z is positive.\nAnswer: z**(-248\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2473*g = 2503*g - 7926870. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10269)\/(-6)*(-10)\/(-15).\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/6)\/11 + 1155\/18. What is the second derivative of -60 + 11*o - 7*o**3 + 38*o**2 + u + 5*o**3 wrt o?\nAnswer: -12*o + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24720\/103)\/(-15) - -108.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from vdxtqtrx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 = -3*q. Suppose z = -5*m + 7 - 27, q*m + 8 = 2*z. Suppose n + z - 34 = 0. What is the remainder when n is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -53550?\nAnswer: 53550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1276*f - 319*f = 1501*f + 287928 for f.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/13)*m**4)**(2\/57)*(m\/(((m*m*m*m*m*m\/(m**(2\/11)*m)*m)\/m)\/m))\/m**1*(m*m**(-1))**(-32) assuming m is positive.\nAnswer: m**(-29648\/8151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/29 (b) -4 (c) -976 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486*d = -477*d - 30645. Suppose d + 4281 = 9*v. What are the prime factors of v?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -925\/14 (c) 224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 + 11*p + 12. Let b(n) = -2*n**2 + 10*n + 11. Let a(z) = -6*b(z) + 5*m(z). Let j(c) = -c**2 - 2*c - 3. What is 2*a(y) - 5*j(y)?\nAnswer: -y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001623791 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, -3\/5, -5, -0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34902227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/8802 + -173837\/22005. Calculate the common denominator of -20\/9 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0, 249\/29, 1\/2, 1, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1) + 0 + (-7 - -1). Sort n, -0.2, -9, 2\/17 in descending order.\nAnswer: 2\/17, -0.2, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 + -107. Let u = v - 10.5. Let f = -2 + 1.9. What is the smallest value in u, f, -2\/9, 4\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**5 + 6789*y**4 + 102786*y**3 - 629196*y**2 + 1066344*y - 546720 = 0.\nAnswer: -20, 1, 2, 2278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28213, 56427, 84641, 112855, 141069?\n\"Answer: 28214*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + y**3 + 3*y**3)*(0 + 1 - 2)*(-4*y - 4*y + 5*y).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2*r + 8032*g**2 - 8*r**2 + 112*r wrt r?\nAnswer: g**2 - 16*r + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 2*v**2 + 2*v - 1. Let t be p(3). Is (-100)\/t*(-4)\/(-10) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmfm when four letters picked without replacement from ffffmmmffff.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15\/4, -3066, 2, 4.\nAnswer: -3066, -5, 2, 15\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -40*k - 1851. Calculate i(-44).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*q - 5648, 30*k - q - 2830 = 29*k. Suppose -2*p - 3*l + k = 0, 3*l - 2862 = -2*p + 7*l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0559 + -0.2441. Let p be 1\/(((-1)\/(-2))\/(-1)). Which is the third smallest value? (a) p (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 48 = 2*u. Suppose u = -2*m + 6. Let v = 10 + m. Is -2\/15 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93920 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1795.88 and 0.026.\nAnswer: 46.69288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -1, -8712, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*w, -m - 10 = -3*m + 3*w. Let i = -4965 - -4968. Let l(q) = -i*q + 5*q**2 + 3*q + 8*q**m. Let k(j) = j**2. What is l(k(a))?\nAnswer: 13*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(117) + 1)*-1*5.\nAnswer: -90*sqrt(13) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/2 + -2)*(3 - 100). Let p(a) = 3 - a**2 + q*a + 3 - 93*a - 7. Determine p(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 7*v**3 - 6*v**2 - 327*v**4 - 3 - 10*v**2 + 329*v**4 to the form u*v + x*v**4 + n + i*v**2 + q*v**3 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 14*p + 15. Let m be t(13). Solve 4*l + 17 = -5*d + 7*l, -l + 6 = -m*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14776220700 rounded to the nearest 1000000?\nAnswer: -14776000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 45*p. Suppose 10 - 20 = -5*l. Suppose l*i + 6*i - 32 = 0. Let k(r) = 0*r + i*r - 6*r. Calculate a(k(g)).\nAnswer: -90*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 13. Let v = 4 - 4. Suppose 2*l = -f*c + 250, l = -v*l - 4*c + 110. Calculate the highest common divisor of l and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 37*w**2 - 16*w + 2938. Let g(k) = 21*k**2 - 9*k + 1469. Calculate 7*g(a) - 4*i(a).\nAnswer: -a**2 + a - 1469","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2840.559397 to 1 dp.\nAnswer: 2840.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 156\/(-30))*(-50)\/45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14 - -9 - -2)*73\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9271397 is divided by 9290?\nAnswer: 9267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 746, 1185?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.43 - -5.03. Let o = -1.3 - -1. What is the second biggest value in o, 1, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 1. Let t be m(-2). Let p(h) = 4*h + 0*h - 2 + 3 - 2*h**3 + 2*h**2 - 2*h. Let d be p(t). Solve d*j + j = -4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8110522.63 rounded to the nearest one thousand?\nAnswer: -8111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10}. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 489536370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697500 rounded to the nearest 10000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(2 + 1 - 1)*(2*i - 5 + 5).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/891*(-2)\/(416\/(-18))?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1249063 + 1.125. Round r to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p - 4. Let s be u(8). Let b be (s\/6)\/((-12)\/126). Suppose 5*y = -3 + b. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/76*36\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8927890 is divided by 2975948?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.1 < -7631046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*a**3 - 912*a**3 - 134*a**3 - 457*a**3 + 180*a**3 - 548*a**3.\nAnswer: -1732*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 239, 433, 607, 761?\n\"Answer: -10*j**2 + 224*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -72, 1\/7, 0, -0.17, 8 in decreasing order.\nAnswer: 8, 1\/7, 0, -0.17, -2\/5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, q: 3, i: 1, g: 1, l: 4}. What is prob of sequence iq?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 3:46 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + x = -2*m - 4, -32 = 2*m - 4*x. Let p = 7 + m. Let g(n) = 6*n**2. Calculate the remainder when 23 is divided by g(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 6*z, -4*z = -5*i + 42815. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 67589*x + 1419813. Calculate f(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -79. Let j = o + -24. Let t = 14 + -25. Which is the second smallest value? (a) j (b) 1\/11 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 17. Suppose 6 = x + 2*b, -4*x + x - 5*b = -16. Solve -6*q + x*q - r = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -379 - -447. What is the third smallest value in w, 0.4, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10271 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 2133028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.0635, 1.5, 10?\nAnswer: 0.0635","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 + 8878191*d - d**3 - 4*d**2 - 8878191*d + 4*d**2 - 2*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 25. Suppose 2*j = -2*o + 4*o, -o + f = 2*j. Let c(q) = 5*q**2 - 6*q + 9. What is the tens digit of c(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h + 1. Let q be r(3). Let c be ((-1)\/(-2))\/(1\/q). Let y(s) = s + 1. Let k(f) = -10*f + 2*f**2 - 5*f - 8 + 7*f. Calculate c*y(u) + k(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 8 - (4 - (-2 - 4)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 26. Let i(b) = -2*b - 38. Let s be i(h). Let c(t) = 4*t - 3. Calculate c(s).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -2*o**5\/5 + 79*o**4 - 12482*o**3\/3 + 1188. Determine m, given that h(m) = 0.\nAnswer: 0, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*s**2 - 83*s**2 - 292*s**2.\nAnswer: -493*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p. Let n(f) = -f - 3. Let h(q) = 2. Let s = -3 + 1. Let c(r) = s*n(r) - 3*h(r). Give c(u(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.29, 0.086, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 497068 - 232762. Let x = -264346.00408 + h. Let w = 40 + x. Round w to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**5\/230 + 7*s**4\/138 + 16*s**3\/69 + 12*s**2\/23 + 100*s. Determine m so that v(m) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2397890*t + 2380702 wrt t.\nAnswer: 2397890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 3 + -133 + 100.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 424 = 2*x, 25*a - 30*a - 167 = -x. Solve 11*i + 186 = x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (-36)\/(-56)*-6. Let b = 115 - 115.5. What is the third biggest value in -0.1, a, 5, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -19, -3, 5, -3438 in descending order.\nAnswer: 5, 3, -1, -3, -19, -3438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3 + b**3 - 44*b + 38*b - 5*b**3 - 7*b**2. List the prime factors of d(-4).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**19\/x)\/(x*x\/(x**(8\/9)\/x)*x*x) assuming x is positive.\nAnswer: x**(125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - 13365\/345 - 8748\/43056?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 6. Let p be r(-6). Suppose 4*c + p*c + 2*z = 32, -5*z - 10 = 0. Let k = 10 + c. What is the remainder when k is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144)*2 - sqrt(144)) + (-3*sqrt(36)\/sqrt(4) + sqrt(9) - sqrt(9)) + sqrt(9))\/(-1*sqrt(27) + (-1*sqrt(27))\/sqrt(9))*-5)**2*-3.\nAnswer: -225\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 671843788 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-3)*4\/(-40)*-3*86\/3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*c + 47 = 0, 2*c = 4*a - 8 - 30. Suppose -2*r + 5*x = -a, 0 = -4*r - 0*r - 3*x - 47. Let y = r + 11. Solve 4*g - y = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 8*i**2 - 15*i - 15. List the prime factors of y(-5).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, o: 5, n: 7, v: 2}. What is prob of picking 2 o, 1 f, and 1 v?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1128, -4457, -9996, -17739, -27680, -39813?\nAnswer: -54132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 7) + -10 + 5 - (35 - 0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16546 + 16605. Calculate the smallest common multiple of o and 66.\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2.05. Let n be ((-40)\/(-24) + 0 + 0)*(-774)\/(-1935). Sort n, a, 5, 1\/4 in ascending order.\nAnswer: a, 1\/4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - 43841.\nAnswer: -43840.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*((2 - -2) + 5). Let u be (-2)\/18 + (-185)\/y - -26. Let w = u - 30. Which is the nearest to w? (a) -8 (b) -3\/2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2877 divide 137606910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 1, 0, 287, 423 in decreasing order.\nAnswer: 423, 287, 2, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/4, 1, 1\/3 in decreasing order.\nAnswer: 9\/4, 1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = -18. Let z = 11 - f. Differentiate -2 - z - 8*q**3 - 4 + 27*q**3 with respect to q.\nAnswer: 57*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11267, 56757, 180223, 420653, 817035?\n\"Answer: 6498*f**3 + 4*f + 4765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 420 divide 1273451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/248316 and 71\/24?\nAnswer: 496632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16020.87 - 15936. Round k to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6001.\nAnswer: 17, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**4\/20 + 11*g**3\/15 - 13*g**2\/5 + 16*g\/5 - 46. Let d(p) = 0. Calculate p.\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*i + 47, -6 - 3 = i - 5*n. Suppose -33 + i = -c. Calculate the smallest common multiple of c and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10821 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1008 and -151\/8398488.\nAnswer: 50390928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, f: 2, o: 1, u: 1, v: 3, z: 8}. Give prob of sequence zuz.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 416 + -414. Let x = 37 - -9. Let h be 0 + (88\/x - f). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 23 = -5*y, 0 = -8*h + 9*h - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, -6, -9, -10, -9?\n\"Answer: n**2 - 8*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*d**2 - 8906*d - 41729 wrt d.\nAnswer: -20*d - 8906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1289*m + 45. Determine h(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2559 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + 0 + 0. Let g = 5.5 - 0.5. Sort 2\/3, g, o in descending order.\nAnswer: g, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*f, -13 = -3*i + 3*f + 21 - 10 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/((x\/(x\/((x\/x**(-1))\/x)))\/x*x)))\/x)**42\/((x\/x**(1\/2)*x)\/(x*x*x\/x**1*x)) assuming x is positive.\nAnswer: x**(87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/3*(-48)\/32. Suppose l = -9*k + 10*k. Let v be 2\/(-7) + 92\/28. Solve k*f - q + 2 = 14, 2*f + v*q - 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = -157*w + 132*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m + 5238 - 23923 = 0. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2395 + 2394. What is the third biggest value in 0.5, -0.1, -35, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 - (-15 - 49) - (-32 - -5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 607309?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2 - 33*k + 30 = 0 for k.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -11. Let j = p - 5.1. Which is the second biggest value? (a) 0.4 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(66)\/sqrt(6) - sqrt(11)))*5 - (sqrt(891) + -2)**2 - ((1 + sqrt(275))*6*5)**2.\nAnswer: -249295 - 8959*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v. Let z(m) = 137513 + 175*m**2 - 38*m**2 - 137513. What is z(n(o))?\nAnswer: 11097*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(8)\/sqrt(4) + -3 - sqrt(4)\/sqrt(2)*-5) - (4*sqrt(2)*2 - (sqrt(1250) - sqrt(50))))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 25 - (-2 - -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 = -4*t, 13*t - 18*t - 4*d + 14 = 0. Solve -3*z + z + t = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 369215999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2225*z**4 - 2*z - 2229*z**4 - 19*z**3 + 0*z to the form w*z + c*z**2 + a + j*z**4 + y*z**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(78)\/sqrt(6))**2 + sqrt(13) - sqrt(130)\/(sqrt(10)*-4) - (-2 + 2*sqrt(637) + 4*1*sqrt(637)).\nAnswer: -163*sqrt(13)\/4 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -20. What is the remainder when 23 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3132631901 rounded to five dps?\nAnswer: -0.31326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 3*r - 5. Let d be v(5). Suppose -4*s - 9 = -d. Let m = 1 - s. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 7805320*w - 15610648.\nAnswer: 2*(w - 3902662)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1214 = 5*b - w - 2*w - 1238, 36*w - 8 = 4*b + 37*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929968 is divided by 929871?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054211079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 2*y = -12*j + 8, 3*y - 12 = 5*j. Let x(l) = 3*l**2 - 2*l + 6. What is the smallest common multiple of 40 and x(j)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 3)*7\/4. Let i = 41 - 35. Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 38296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15924453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*v + 120, 3*q - q - 56 = -4*v. Let z be (-2)\/2*-4 - 5. What is the units digit of (z\/(-4))\/(9\/q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 5\/6, -0.3, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(85)\/sqrt(5)*2)**2 + (sqrt(1088) + sqrt(1088) + 1)**2 - (sqrt(34)\/(sqrt(22)\/(sqrt(44)\/sqrt(4))))**2).\nAnswer: 32*sqrt(17) + 4402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, e: 10, n: 3, x: 2}. What is prob of sequence xl?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + ((3 + sqrt(153))**2*6 - (sqrt(272) + (sqrt(272) + -4*(sqrt(272) + sqrt(272)*-2))**2)).\nAnswer: -5821 + 104*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 2022.9\nAnswer: 121.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 279 - 276.2. Let v = o - 2.86. Put -3, 0.4, v in descending order.\nAnswer: 0.4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 26. Let a be v(11). Does 20 divide 1*(165 + (a - 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*q + 10, 3*u = -q + 1 + 4. Suppose -4*k = -9*k + 5, -k + 21 = q*t. Suppose -t*y - 72 = -4*o - 176, 4*y - 112 = 2*o. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10121311111 (base 4) in base 16?\nAnswer: -119d55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + (-2 - (-6 + -1 + 6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = 3*l - 117. Calculate the highest common factor of l and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**9\/665280 + s**8\/73920 + 3*s**5\/10 + 15*s**2. Let l(i) be the third derivative of r(i). Factor l(f).\nAnswer: f**2*(f + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1433 + -840. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.0608 (b) 0.3 (c) 5 (d) 0.5 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -32*d + 1. What is t(-2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v. What is b(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020201 - -10?\nAnswer: 1020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-150))\/((104\/(-8))\/260)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, -1.9, 93.7, 2, -0.2?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(99)*-6)\/(-2*sqrt(9)*-1)*-3*-3.\nAnswer: -81*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 662? (a) 0.17 (b) 0 (c) -334 (d) 0.1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - -8. Suppose -25*p = -u*p - 126. Let a = -5 - -11. What is the greatest common factor of p and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5338?\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30.055 - -0.055. Let s = 31 + c. Which is smaller: s or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/((-425)\/2380)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1849*n**3 + 1848*n**3 + 0*n - 1 + 3*n**2 - 2*n as w*n**3 + h + u*n + d*n**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11437227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1177790, -2355619, -3533448?\n\"Answer: -1177829*k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 61*v - 48. Calculate b(29).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/((-8)\/263)*(5 + -6). Let l be (20\/(-6))\/(-2)*159. Suppose -4*b = -m - s, 3*b = -5*m + l - 85. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 381*g + 8. Let o be h(7). Suppose 0 = -s - 4*s + o. Suppose 2*r + 113 + 23 = q, 4*q - 5*r = s. Calculate the highest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmvvvmvmmmzvzvvvmz. Give prob of picking 1 v, 1 z, and 2 m.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 1 - 4)*(-2*m**2 + 4*m + 0*m**2 + 2*m).\nAnswer: -20*m**2 + 60*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b + 1 + b - 6*b - 2*b. What is the remainder when a(-2) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**3 + 7*a**2 + 13. Let t(j) = -13*j**3 - 14*j**2 - j - 25. Let i(p) = -11*o(p) - 6*t(p). What is i(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*w - 135 = -199*w. Let b be (-5 - w)\/((-4)\/(-33500)). What is b rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d. Let x(g) = 24812*g - 35. What is x(p(i))?\nAnswer: -24812*i - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 10 - 9 - -13\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 46, 57, 84, 133, 210, 321?\n\"Answer: s**3 + 2*s**2 - 2*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11759 - -11758. Sort -287, p, 2 in descending order.\nAnswer: 2, p, -287","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 42*r + 99 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ddc (base 14) to base 6\nAnswer: 20410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 15. Let p be 62\/(-70) - (-6)\/u. Which is the closest to -2\/3? (a) -2\/5 (b) p (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(1\/(0 + 3)). Let h = -12 - o. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*s + 148*s + 18 = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - -6. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3687029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*t**5 - 21 + 64*t**5 + 75*t**5 - 6*t**2 wrt t.\nAnswer: 9600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22629 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 j when three letters picked without replacement from {n: 5, j: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhh. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (10 + -9 + -5)\/(0 - 1) and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -v + 58. Suppose -6*n + v = -n. What is the lowest common multiple of 8 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/15*10\/4. Suppose 2*v + 35 = 5*x - k*v, -v - 12 = -2*x. Suppose -2*p + 5*y = -p - 31, -5*p - x*y = -185. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 3*y = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17636408869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-4 + 14) - (-7 + 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 12:09 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -5*g - 13*d + 16, 3*d - 6 = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14412 (base 6) in base 10?\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 236 + 6*r**2 - 240*r + 5*r**2 + 13*r**2 - 20*r**2.\nAnswer: 4*(r - 59)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 11 = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(sqrt(72) - -2*(sqrt(72) + sqrt(72) + sqrt(72)*-1 + sqrt(72)))\/(sqrt(96) - sqrt(96)*2) + -1.\nAnswer: 2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32510)\/(19\/((-190)\/20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 8*k + 6. Let m(t) = -t**2 + 24*t - 52. Let x be (2\/6)\/((-9)\/(-198))*3. Let a be m(x). Determine d(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - (-34 + 55 + -81)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 1. Suppose -6 = -5*h - 1, -3*z - 9 = 3*h. Determine g(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (120\/(-16))\/(-2 + (-26)\/(-16)). Suppose k = q*k - 304. Calculate the highest common factor of 176 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*b + 6 = 2*x, x - 2 = -5*b. Let c(s) = -103 - 4*s + 10*s**2 + 102 - x*s. What is the tens digit of c(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - y + 3)*(-379 - 45 - 154).\nAnswer: 578*y - 578","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + -13 + 38 + -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0439 and 42.4?\nAnswer: 1.86136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -999*d + 949*d + 238 + 812 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -5, 2, 0 in descending order.\nAnswer: 6, 5, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37726029, -37726034, -37726041, -37726050?\n\"Answer: -v**2 - 2*v - 37726026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*a**3*p**3 - 13429*a**3 - 1405*a**2*p**3 wrt p?\nAnswer: -39*a**3*p**2 - 4215*a**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*n - 9*n + 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 94*s - 364. Give m(6).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 105 = -7. Suppose -7*t + v*t = 35. Let d(k) = -k**2. Let o(q) be the first derivative of q**3\/3 + 5. Calculate t*o(u) + 7*d(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 11 = -2*q. Suppose 625 = 3*k + 5*o, 0 = -q*k - 2*o + 819 - 182. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*480.9.\nAnswer: -144.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/sqrt(891) - (-5 + sqrt(5)*-2)) + 1)**2.\nAnswer: 76*sqrt(5)\/3 + 4721\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 6. Let d(l) = l - 4. Let c(k) = -3*d(k) + 2*n(k). Give c(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/14 and 17\/9730.\nAnswer: 9730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25193958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -33*n - 163*n - 10 - 3*n - 2*n. Is z(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 greater than 3616.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1133? (a) 1 (b) -0.3 (c) 0.2 (d) -3\/2 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 268*p**2 - 3046*p + 6414. Calculate n(-279).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6286 + -6114. Solve -c*i = -184*i + 72 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-9))\/(72\/(-81)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2095 by 419.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -50 + 66 - 23*f + 61 + 3*f. Is z(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 2860533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1647669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20301207359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1711403 (base 10) to base 3\nAnswer: 10012221121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4430985 and 5?\nAnswer: 4430985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1205 - 424. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -8. Suppose -2*h = 3*d + 2*d - 230, 4*d - h - 171 = 0. Suppose -4*c + 144 = -v*w, 134 + d = 5*c - 2*w. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 27 + -39 + -78 + 72?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88\/13*u - 2\/13*u**3 + 56\/13 + 34\/13*u**2.\nAnswer: -2*(u - 14)*(u - 2)*(u - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c\/(c*c**(-1)))\/c)\/c))**6*c**(-1\/3)*c**(-2\/3) assuming c is positive.\nAnswer: c**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 466 - 542.6. Which is smaller: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.1, -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37, 28, 301, 890, 1903, 3448, 5633?\n\"Answer: 18*r**3 - 4*r**2 - 49*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 832 + -587. Suppose -3*t + 747 = 3*w, t - 2*w + w = b. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-149)\/4)\/(15\/(-1740)).\nAnswer: 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114235420 (base 6) to base 14.\nAnswer: -405952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 618 + 0*r**3 - 7*r**3 - 3*r + 14*r**2 + 84*r**2 - 620 + 9*r**3 to c + l*r**2 + q*r + b*r**3 and give l.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from sofssoo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/11 and -29\/2593.\nAnswer: 28523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 70922e (base 15) to base 6\nAnswer: 310332142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 22*w + 17*w. What is the second biggest value in 16, 4\/3, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 3651.\nAnswer: -7\/3651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let r(b) = b**2. Let i(a) = -4*a**2 + a - 7. Let n(w) = -i(w) - 5*r(w). What is the remainder when 13 is divided by n(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((220\/(-15))\/22)\/((-2)\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12020, -12017, -12012, -12005, -11996, -11985, -11972?\n\"Answer: p**2 - 12021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3334*o - 13325. Let l be y(4). Which is the fourth biggest value? (a) l (b) 0.4 (c) 0 (d) 0.135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111001110110101110 + 10000100?\nAnswer: -100111001110100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + -14)*(-2)\/6 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:33 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15009557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*p - 202 - 1060 = 0, 619 = u + 4*p. Suppose 0 = -2*a + 5*g + 1297, 2*g = -4*a + 3*a + u. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**2 + 11 - 12*a**2 - 34*a**3 + 38*a**3.\nAnswer: 4*a**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v - 26. Let p be l(11). Let h = 12 - 25. Let g = p + h. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44543\/26724 + -1\/8908. Put 16\/7, -3\/2, c in descending order.\nAnswer: 16\/7, c, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-1\/9)\/u))\/u)\/(u*u**(-1\/8)\/u)*(u*u**0)\/u**1*((u\/u**(-2\/11))\/((u*u**(1\/7))\/u))\/((u*u**8*u)\/u**(-1\/12)) assuming u is positive.\nAnswer: u**(-43289\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50212610134 - -5.\nAnswer: 50212610139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 40. Let g(q) = -n + 15*q + q**2 + 13 + 5 + 11. What is the remainder when 28 is divided by g(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 2:01 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - g = -5*g + 3544, -3*k + 3*g = -3537. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47142644 is divided by 2585.\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 143?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-eight fifths of a milligram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 80240 = -17*o + 22687. Is o a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 = -4*p + 1281. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1422 - -4?\nAnswer: -1419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 176 - 316. Suppose 0 = 117*o - f*o + 1614. What are the prime factors of o?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2 = 2*y, 9*y = 4*l + 4*y + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557 equal to 6231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -670738.7 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubuu when four letters picked without replacement from ubbuububuububbububb.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*f - 206086 = -160592 for f.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1)*(3 + 2). Let p(y) = -y**2 - 2. Suppose 0*i - 5*i = 0. Let d be p(i). Put d, -1, m in increasing order.\nAnswer: m, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/60 + b**5\/12 - b**4\/8 - 2*b**3\/3 - 30*b**2. Let u(l) = -3*l**3 - 6*l**2 + 4*l + 5. Calculate 3*u(g) + 4*w(g).\nAnswer: -g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - -1 - (-66 - -1). Suppose 3*q + q = p. Solve -2*v + 0*i = 3*i - q, v + 5*i = 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y + 57420 = 13*y. Let j be ((-464)\/y)\/((-12)\/22). Factor -j*w**2 + 2\/3*w + 0.\nAnswer: -2*w*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b = 6*b - 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (1 - -7) + 0 + -1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 103*j**2 + 1356*j - 24024. What is y(91)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 3*w**2 - 3*w + 1. Let f = -13 - -10. Let j be m(f). Let v = j + 52. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2645*p**3 + 19*p + 720988?\nAnswer: 7935*p**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80493?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -2*y**7\/105 + 13*y**6\/120 - 2*y**5\/15 - 7*y**4\/24 + y**3 + 187*y**2. Factor x(a).\nAnswer: -(a - 2)*(a - 1)**2*(4*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/18 and 81\/2648.\nAnswer: 23832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 2*x**5\/15 + 5*x**3\/6 + 9*x**2. What is the first derivative of q(p) wrt p?\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45010 + 103?\nAnswer: -44907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -13*h. Let p be h - -1*(-5 + 18005). What is p rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/1)\/(-2) + 12 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17676 and 32138.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-34 + -386)*(0 - 7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*d + 4222 = -6005 - 1096 for d.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + 14*y + 48. Let l be f(9). Does 18 divide (-809)\/(-3) + 4\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b = 0. Suppose 3*h = 5*f + 11, 2*h - 3*f - 10 + 3 = 0. Suppose 0 = x - 5 + h. Solve -3*m - x = -b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7418*n + 9984*n - 2832*n + 1926*n.\nAnswer: 16496*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 54 - 32 - 22 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -3 + (3 - 0) + 1 + 2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -2. Suppose -5*t = -4*s + 21, -s + 3*t = 6*t - 1. Suppose -8 - 4 = -s*k. Calculate the highest common divisor of y and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 32, 36, 6, 3 in ascending order.\nAnswer: 3, 6, 7, 32, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 287970289 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (32\/(-10) - -1). Let s = 1 - 0. Let i(v) = -2*v - 12. Let w be i(-8). What is the biggest value in s, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 202 + -200. Let v be (-5)\/15 - 4\/(-3). What is the second biggest value in 3, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10.5908 and -1?\nAnswer: 9.5908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-257)\/(-8) - (-2)\/(-16). Let z be (121 - 1)\/((-3)\/(-4)). Calculate the greatest common divisor of z and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205323, 205325, 205327, 205329, 205331?\nAnswer: 205333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.7 + 8. Let x = 0.1 + l. Let w = 286\/15 - 2062\/105. Which is the closest to 0.2? (a) x (b) w (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91\/213? (a) 0.4 (b) 3 (c) -2\/3 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4867.\nAnswer: 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + z**2 - z + 1. Let x(u) = 38*u**4 + 4*u**3 - 24*u**2 + 4*u - 4. Let b(i) = x(i) + 4*y(i). Find the third derivative of b(v) wrt v.\nAnswer: 912*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28441, -65867, -103293, -140719, -178145, -215571?\nAnswer: -252997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 463*p - 46302. Give b(100).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(11\/165)\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -5) + (21 - 7) + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 13 - 75*i - 10 in the form m + l*i and give l.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 3, -23, -24, -29 in descending order.\nAnswer: 5, 3, -5, -23, -24, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -331 - -1242?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 324, 618, 906, 1116?\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202121021220 (base 3) in base 5?\nAnswer: 1002443420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 6*d - 1068. Let w be c(0). Let q = w - -1597. Suppose 4*n = -8*i + 3*i + 876, -n = -3*i + q. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1196 * -1011\nAnswer: -1209156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 32*i - 71. Determine x(-30).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-14))\/(6\/36*-3). What is the third smallest value in z, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1792 or 1790?\nAnswer: 1792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1376 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 4:45 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3766*x**5 - 8035*x**3 - x + 81135331 wrt x.\nAnswer: 75320*x**3 - 48210*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6532 (base 16) to base 9.\nAnswer: 38474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/80*-8*-11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*m + 129*m + 159*m - 777*m + 169*m + 155*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t + 0*t + 3 + 2*t**2 - 24 + 11 + 4*t. Calculate s(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/4*(4 + -5). Solve -4*m + 14 = -2*p, 2*p - c*p = 2*m - 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exlb when four letters picked without replacement from bxttbxtxtxexxtbtl.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.009 - 0.0089991. Round s to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1. Let t(g) = 11*g**4. Let r = -5 - -50. Let c = r + -44. Let v(i) = c*t(i) + 3*b(i). What is the first derivative of v(z) wrt z?\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**4\/4 + 11511*y**3\/4 - 159573*y**2\/4 + 535045*y\/4 + 28371 = 0?\nAnswer: -2316, -1\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y + 62. Suppose -32*v = 4*p - 30*v + 30, 0 = 5*p + v + 45. What is s(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133032 greater than or equal to -133026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 51818341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 20, 23, 38, 71, 128, 215, 338?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6698 + 6702. Solve 8 = -3*n + 4*g, -4*g - 12 = f*n - 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 8:05 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 1, -0.1, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 6:59 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 738576 and 288.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, 10\/173, -1\/3, 4, 5, -4 in ascending order.\nAnswer: -4, -1\/3, 10\/173, 4, 5, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 7:48 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.017 + -0.01699967. What is h rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/9 + 1870*x**2\/9 + 139988*x\/3 + 92496 = 0.\nAnswer: -564, -369, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 1424?\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -53 - 7. Let s(i) = i**3 + 5*i**2 - 2*i - 4. Calculate the smallest common multiple of s(-4) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164398, -164414, -164444, -164494, -164570?\nAnswer: -164678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/9 + 950*m**2\/9 + 36196*m\/9 - 76208\/9 = 0. What is m?\nAnswer: -433, -44, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 1. Let m be p(1). Suppose -2*t - 410 = -n, -m*n - 422 = -3*n - t. Suppose -c = c - n. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 74, 120, 166?\n\"Answer: 46*n + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2708*u = 8011*u - 713*u + 2644*u - 1404150 for u.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -168 divided by 17\nAnswer: -168\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbqqbqqqqqbqqqqqbqq. Give prob of sequence bqb.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -369134 at least -369141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 204340333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268750710.\nAnswer: 2, 3, 5, 110597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, o: 1, m: 2, a: 9, g: 2}. Give prob of sequence gaa.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 13 + 17 = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3325784662 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 213745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 70044062?\nAnswer: -70044060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 6. Let t = 0.5 + -0.9. Let g = -0.6 + t. What is the second smallest value in -1\/4, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-6))\/(-1)*48\/(-120)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 897*b**3*q**3 + 4*b**3*q - b**2*q**3 - 108*b**2*q + 2*b + 2*q wrt q.\nAnswer: 5382*b**3*q - 6*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -289, -271, -241, -199, -145, -79, -1?\n\"Answer: 6*k**2 - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = 8. Let m be 0 + 2 + 53\/g. Let z = m - -55. What is the lowest common multiple of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -8. Let p = m + -7. Let w = 7 - p. Is 11 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 59, -2, -1, 5, 24 in increasing order.\nAnswer: -4, -2, -1, 3, 5, 24, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(5) + 1 - (0 + 2 + sqrt(32)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 128291392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**5\/60 + 3*z**4\/8 - 19*z**3\/6 + z**2. Let q(m) = -2*m - 39. Let a be q(-13). Is r(a) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**2\/2 + 2*i + 3. Let v be x(0). Factor -3*p**2 + 1 + v + 0*p**2.\nAnswer: -3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3763?\nAnswer: 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28a1c3 (base 16) to base 10.\nAnswer: 2662851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 22 + (-25 + -37 - -69).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100210121200212 (base 3) in base 6?\nAnswer: -303345205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-29)\/(-58) - 6034\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 1. Suppose -8*y - 9 = 47. Determine o(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -51, 2\/3, 0.01, -2812, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -27329 to the nearest one hundred.\nAnswer: -27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f*f**(5\/6))\/f)\/f)*f)\/((f*f**(9\/4)*f)\/f)*f**7\/((f*f**(3\/4))\/f) assuming f is positive.\nAnswer: f**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, -0.5, 9\/4, -63.8, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -24 + 31 + 2*g**2 - 15*g + 0*g**2. Let q be b(7). Suppose q = -4*f + 2*j + 9176, -3*j = 2*f - 2986 - 1594. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 46674, 44034, 41394, 38754?\n\"Answer: -2640*d + 49314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -829626*p - 829627. Determine t(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bik when three letters picked without replacement from seieblk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + 24055?\nAnswer: 24041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 614 (b) 2 (c) 2\/9 (d) -5 (e) 113\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - 11*h - 2. Let a be w(6). Let j = 41 + -25. What is the greatest common factor of j and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 13548971067902?\nAnswer: -13548971067902.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42062457*h**2 - 28447189.\nAnswer: -84124914*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10640 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3)*q)\/(q**(2\/39)*q)*(q**11\/q)\/(((q*q\/(q*q**6*q*q)*q)\/q)\/q) assuming q is positive.\nAnswer: q**(713\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/180816 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19193822.\nAnswer: 2, 23, 41, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37951 + 37817. What is the fifth smallest value in -1, 0, m, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 * 1044\nAnswer: -49068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 79*j - 31*j - 28*j - 21*j - 8. Let t = 54 + -59. Determine x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20123 (base 5) in base 13?\nAnswer: -781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 4*p - 4. Let n(z) = 6*z**2 + 4*z - 3. Calculate the least common multiple of n(1) and l(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436 divided by 436?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 792622 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z + 10. Calculate q(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-827)*(1 + -2). Let j = -2471\/4135 - o. Let d = 2 + 3. Which is the closest to -2? (a) 0.6 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.0067 - -2.0067. What is the nearest to i in 3, 1, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 258*d**5 - 29*d**3 - 8416*d - 3.\nAnswer: 5160*d**3 - 174*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqyydivyizvi. What is prob of sequence viz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-8))\/1*(-8)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 19*v**3 - 7*v**2 - 7*v. Suppose -3*o + r + 14 = 2*r, -5*r - 30 = -5*o. Let b(t) = 13*t**3 - 5*t**2 - 5*t. What is o*a(q) - 7*b(q)?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 3:18 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 116860.34 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-2)\/(-8)*4. Suppose -q*a - 57 = -12. Let b be (-52)\/a - (-22)\/99. Is 5 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2640122223?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 4 - -3)*7. Suppose -5*n + 177 = -2*n. What is the remainder when n is divided by (91\/(-14) + g)\/(2\/84)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 281 = 285 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 32*w**3 + 30*w**2.\nAnswer: 2*w**2*(w - 15)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u, -5*t - 2*u - 8 + 58 = 0. Let b be (19 + -15)*t\/4. Suppose 8*l = 3*l + b. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45729 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -5*o - 4*j, -o + 5*j = -8 - 29. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*u = 346*u - 224 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 - 41*k + 13. Does 26 divide g(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 27951.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**5\/5 + 2066*y**4\/5 + 548756*y**3\/5 + 7827428*y**2\/5 + 14016842*y\/5 + 6736106\/5 = 0.\nAnswer: -509, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961124\/23 < 85267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5\/(-25))\/(9\/(-1164915))?\nAnswer: 3, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 19*s**6\/120 - s**3\/6 + 3*s**2. Let a be b(1). What is the greatest common divisor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o + 2*s = -6, -8 = -3*o - 2*s. Suppose -z + o*n = 2*z - 625, 2*n - 219 = -z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.006 - 10.006. Let f = 10.09 + d. Round f to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -3*x + 15, -5*x = -3*q - x - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 9. Let n(p) = -4*p**2 - 23. Calculate n(v(y)).\nAnswer: -16*y**2 - 144*y - 347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1499 - 1492 - 1510 + 4501 + 31*m.\nAnswer: 31*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p + 4 - 2 - 4 - 2. Suppose 0 = -l - 0 + 3. What are the prime factors of b(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -31333, -3 in decreasing order.\nAnswer: -3, -9, -31333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91554 - 651*t + 91554)*(1 + 2 - 5 + (-2 + 1 + 0)*(0 + 3 - 4)) + (-3*t + 4*t + 0*t)*(-4 + 0 + 2 + (2 + 1 - 5)*(5 - 2 - 5)).\nAnswer: 653*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d + 12 - 12 + 0*d to the form f*d + c and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3 - 7879*k**2 + 125808*k = 0.\nAnswer: 0, 16, 7863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1178 and 4155829?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2869358.\nAnswer: 2, 1434679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 3\/8, -0.2, -3115 in descending order.\nAnswer: 3\/8, 2\/9, -0.2, -3115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - q)*((-4*q + q + q)*(-5*q + 2*q + q) - 2*q**2 - q**2 + q**2).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*z + 10*z - 17*z to the form d*z + l and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -10*z**3\/3 + 3*z**2 + 6*z + 107. Let u(n) = -9*n**2 + 5*n + 5. What is -5*l(c) + 6*u(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2. Let o(m) be the first derivative of 3*m**2\/2 - 6*m + 2. Let w be o(6). Suppose -v = -3*s + 1, -4*v + 0*v + w = -4*s. Determine a(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 147*x - 5450. Determine o(37).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 460660*s**2 + 177335808*s + 17038393344.\nAnswer: -4*(s - 115549)*(s + 192)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1.01?\nAnswer: 0.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 43900451\nAnswer: 21950225.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Let u = -1.8 - 14.2. Let l = u - -16.2. Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3399, -6802, -10207, -13614, -17023?\nAnswer: -20434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 245237 or 2?\nAnswer: 245237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*z - 4*z. Let y(w) = w**2 - w - 2. Is y(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/3 + 181754*v**2\/3 + 1320516610*v - 2566299652950.\nAnswer: 2*(v - 1793)*(v + 46335)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*a**4 + 1 - 24 - 4 - 17*a**4 + a to the form l*a**2 + p*a + o*a**3 + d*a**4 + x and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 168780?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110682 and 216?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -10000010011100?\nAnswer: -10000010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10290 + -3756. What are the prime factors of -22*(o\/(-12))\/11?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -287120610 divided by 95706870\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -f - 0 - 9, 0 = -7*f - w - w - 25 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -755 - -1257. Let f = 163 + -145. Calculate the remainder when n is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 4. Suppose -19 = -4*v - 3*m, -5*v + m = -4*m - 50. Let d(b) = -4 + 6*b - 3*b - 2*b + 2. Let o(y) = v*d(y) + 3*q(y). Calculate o(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)\/t**(-4)*t*((((t\/(t\/t**(2\/11))*t)\/t)\/t)\/t)\/t*t*t**(-1))**(-16) assuming t is positive.\nAnswer: t**(-296\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -5 - -1) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = 0, -5*i = 4*p - i - 60. Suppose 22*a - 6 = p. Calculate the smallest common multiple of (3 - 1)*5*1 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**2 - 3*v + 2. Let c be y(1). Solve 0 = -2*t + 5*h - 16 - 3, 4*t + c*h = 37 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2*n**2 + 2*n**2)*(-2*n**3 + 0*n**3 + 4*n**3) - 4*n**5 + 0*n**5 + 7*n**5.\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 275*i - 105. Let p(c) = 21*c - 8. Determine 40*p(l) - 3*w(l).\nAnswer: 15*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + b**4 + 103*b - 59*b + 3*b**3 - 47*b + (-6*b**3 + 2*b**3 - 5*b**3)*(2 - 3*b - 2) to x*b**3 + u*b + y + k*b**2 + m*b**4 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1061*g - 1070*g = 72. Let q(p) be the first derivative of -13*p**2\/2 + 23*p + 1. Is q(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -21*g + 305. What is b(9)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*v - 35, 2*u + 4*v - 15 - 1 = 0. Let k be (3\/9)\/(-2*(-1)\/18). Suppose 14*c - k = 39. Solve 0 = -4*r - u - 2, -4 = 2*f + c*r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -174, -241, -328, -441, -586?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/7)\/((-6)\/126)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*p**2 - 2*p**3 - 8*p**2 - p**2 - 23*p wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*i**3*j**2 + 326706*i**3 - 6704*i*j**2 with respect to j.\nAnswer: 20*i**3*j - 13408*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 7:35 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**5 + i**4 - 8825*i**2 + 1874499*i - 2.\nAnswer: -60*i**3 + 12*i**2 - 17650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 4*x**2 + x**2 - 4*x)*(x**3 - 2*x**3 + 3*x**3).\nAnswer: -6*x**5 - 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -1\/2*g**2 + 6*g - 14. Let m be j(8). Let i(h) = -4*h**2. Let z(n) = 8*n**2. Calculate m*z(b) - 5*i(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(1\/8)*h))\/(h\/(h**(1\/4)\/h)*h)*(h**(2\/3))**(-50)*(h**(-5)\/h**0)**(5\/14) assuming h is positive.\nAnswer: h**(-6551\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1964*b*f**2*k + 15*b*f*k + 1089*b*k + 18*f**2*k - 9819579*f*k wrt b.\nAnswer: 1964*f**2*k + 15*f*k + 1089*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*20\/(-2). Put m, 1, -3 in ascending order.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(10)\/sqrt(2)) + sqrt(189)\/(sqrt(9)*2))\/((sqrt(7) + sqrt(28))*2 - (sqrt(7) - -3*sqrt(7)*-2)).\nAnswer: 3*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1353372734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4156 less than -6?\nAnswer: -4162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 10 (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1962166163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 139 in -2\/5, -1\/3, -9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 1\/7 (b) -2 (c) 559 (d) -1\/11 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 52. Let n = 429 + -109. Calculate the highest common factor of n and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 391 - 391 - 364*p + 407*p - 858*p. Let z(v) = -v**2. What is q(z(j))?\nAnswer: 815*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1 + (-5 - (4 + -13))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2258*g**2*h**3 - 10687*g**2*h - 2*g**2 + 40*g*h**2 - 17*h**4 + 30*h**3 + 4 wrt h?\nAnswer: -13548*g**2 - 408*h + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*c**2*y - 2527*c**2 - 2039*c*y - 2*c - 28*y wrt c.\nAnswer: -18*y - 5054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 - 34048384.34.\nAnswer: -34048384.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 80 + -5d9a?\nAnswer: -5d1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -9, 60 + 15 = 5*b + 5*g. What is the first derivative of 105 - 88*x - b*x + 31 - 11*x - 24*x wrt x?\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 748 and 6460?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1799 by -5.\nAnswer: -1799\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-2)\/(-36)*16\/(-4)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 486 and 5994?\nAnswer: 17982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.12 - 9. Let q = h - 0.42. Which is the biggest value? (a) 2 (b) 2\/15 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10585 is divided by 3433?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3283526 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 4, o: 1, c: 6, t: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 10:49 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 12:13 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 - 5*p**2 - 7*p**2 - 7*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7735 divided by 221\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 26*j**2 + 29*j + 99. Let r be c(-25). Put r, 11, -4 in descending order.\nAnswer: 11, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6518?\nAnswer: 2, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 50087801 to the nearest 10000.\nAnswer: 50090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5085.6 to the nearest 100.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11025 and 146475?\nAnswer: 1025325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -3*q + 0*q**4 + 1\/3*q**3 + 0*q**2 + 0*q**5 - 1\/10*q**6 + 0. What is the second derivative of u(c) wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 30120*t**2 + 150676*t + 180840.\nAnswer: -4*(t - 7535)*(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 114044.55 months in years?\nAnswer: 9503.7125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*i - 8. Is 6\/(i + -10) + 628 + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 3*a + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yonnyoyonny. What is prob of sequence ony?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 5*s**2 + 2*s + 5. Let m be i(-5). Let n = 8 + m. Let j(c) = -c**2 - 3*c + 2. Let v(q) = q**2 + 4*q - 3. Calculate n*v(a) + 4*j(a).\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 20. Suppose 5*v = v - 16, 4*k - 3*v - 16 = 0. Calculate the smallest common multiple of t and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6452160 divided by -96.\nAnswer: -67210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*6\/234*-1*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = v. Which is the biggest value? (a) v (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 399 = 5*u + 421, -2*u + 4 = 2*s. Let r be ((-4)\/8)\/(2\/28). Let h(n) = -2*n**2 - 3*n + 5. Let o(c) = 2*c**2 + 3*c - 4. Calculate r*o(y) + u*h(y).\nAnswer: -2*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 7*b**2 - 4*b + 8. Determine h(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b - 35 = -5*r, 5*r = 3*b + 11. Find the first derivative of 0 - 1 - 2 + 0*l**r + 6*l**4 wrt l.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62554 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 + 101. Is 7 a factor of (48\/n)\/((-1)\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1802?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4076.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210 - 44 - 735 + 169 + 10)*(2 - 3*d**2 - 2).\nAnswer: 1170*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 3*m = 0. Suppose -2*z + 3*u + 9 = m, 2*u = -2*u - 4. Solve -g - 1 = z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-8)*2\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.032335kg to tonnes.\nAnswer: 0.000032335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*k**5 - 13*k**4 - 15*k**3 + 206*k + 23?\nAnswer: 360*k**3 - 156*k**2 - 90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*j + 18 = 0, 4*z + 7*j = 3*j. Put 1, -23, -3, z in descending order.\nAnswer: z, 1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 7*v**2 - 4*v + 5. Let x be (-6)\/18 - (-1)\/3. Suppose o - 42 + 12 = x. Suppose -o = 5*a - 0*a - 4*s, -s = 0. Give k(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3333 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 13730 + 3060 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64837069.\nAnswer: 11, 23, 29, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 12:59 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 7. Let n = 21 + l. Suppose -4*u - n = -5*s - 1, -5*s = -5*u. What is the lowest common multiple of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30299750 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 415162 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mku when three letters picked without replacement from mkulqmqupqkqkmu?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 10:49 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 - 6*c**3 + 163*c - 11*c**3 - 45*c.\nAnswer: -23*c**3 + 118*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Suppose 3*z - d*f = -5*f + 177, 0 = 4*z + f - 245. Suppose r = 1 + z. Calculate the highest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18016863 (base 9) to base 11.\nAnswer: -5119551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(1\/23)*(q*q*q*((q\/q**5)\/q)\/q)\/q*q*q\/((q\/(q*(q*q**(-1))\/q*q))\/q)*q)**(-13) assuming q is positive.\nAnswer: q**(13\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 2\/9*i**3 - 2\/3*i**2 + 3 + 2\/3*i. Suppose j(f) = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 3*i - 626 = 78. What is the remainder when i is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**4 - 5704*b**3 + 346*b - 12 wrt b.\nAnswer: 24*b**2 - 34224*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 x, and 1 b when three letters picked without replacement from {b: 2, q: 1, r: 1, x: 1, k: 1, z: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -16639?\nAnswer: -16639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26883 + -16455. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263558811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - l - 1)*(-3*l**3 + 13*l**3 + 4*l**3) - 3*l**4 + 4*l**4 - 3*l**4 + 2*l**4 + l**3 + l + 4*l - 2*l.\nAnswer: -14*l**4 + l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53248 and 54912?\nAnswer: 1757184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-16 - -176)\/(-16) - -15295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 12, -0.5212 in decreasing order.\nAnswer: 12, 0.4, -0.5212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/6)\/((-10)\/(-45)) + -4. Solve 0 = 5*h + w - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -577, -608, -639, -670, -701, -732?\n\"Answer: -31*u - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.2, -2\/5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + m**2 - m - 8. Let o be z(0). Let j be (2\/3)\/(o\/(-6)). Let b = 1 - 1. Does j = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*i - 14 = 0, -9*i - 25 = -4*q - 10*i. Solve -2*j = 4 + q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2857, -2854, -2849, -2842?\nAnswer: -2833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 + -1.688.\nAnswer: -1.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02321 + 14?\nAnswer: 14.02321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-20)*(10 - 14). Suppose 2*j - 1 = 6*j + i, 2*i = -c*j - 7. Let y(p) = -2*p**3 + 5*p**2 + p + 1. Let h(m) = -m**2 - m. Determine j*y(s) + 5*h(s).\nAnswer: -2*s**3 - 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-6)*n))\/(n\/(n*((n\/n**(-1))\/n)\/n)*n)*(n\/n**(1\/3))\/n*n\/(n\/(n**9\/n*n)) assuming n is positive.\nAnswer: n**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/22 and -11\/590?\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1544584400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 504*j + 23 + 458 + 153.\nAnswer: 504*j + 518","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2*o + 54 = -38*d + 43*d, -8 = 2*d - 2 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 3*w + g, 4*w - 6*g + 2*g = -16 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -958 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -169*y**6\/120 + 187*y**3\/6 + 17*y**2 + 4*y. What is the derivative of h(o) wrt o?\nAnswer: -507*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 9*w + 10. Let h be (-6 - 3\/1) + 1. Let v be b(h). Solve j = -v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*v + 3*k + 15, 8816*k + 2 = 8814*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 8:09 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 21 + 21 + (0*j**2 - j**2 + 0*j**2 + (4*j - j - j)*(-j + 2*j - 3*j))*(36 - 36*j + 28 - 63) as h + z*j**3 + m*j**2 + v*j and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 31*h. Suppose -866*c + 12 = -860*c. Let r(p) = 7*p - 5*p - 2*p - 8*p**c + 0*p. What is r(j(a))?\nAnswer: -7688*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 47 - (-19 + 9).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*a + 19*a + 310 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 65 = 18*a. Find the second derivative of 95 - a*g + 12*g**2 - 95 wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 19787221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36\/7? (a) 2\/7 (b) -0.2 (c) 1.1 (d) 2.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 7*f**2 + 8*f + 7. Is 16 a factor of c(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9345*m**3*o**3 - 176777665*m**3*o**2 + 350*m**2*o**3 wrt o.\nAnswer: 56070*m**3 + 2100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 362 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31358\/1239 + -10\/413. Let j(y) = -641*y - 2589. Let s be j(-4). Is x greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -24, -50, -84, -126, -176?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1291 = -5*y, -2*r = 2*y + y - 673. List the prime factors of r.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -532324153?\nAnswer: -532324155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 550001*a + 6. Let u be -14*3\/6 + 1. Let p be h(u). What is p rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q - 37. Let l be f(5). Suppose 3*u = -5*o - 19, u = 5*o - l*u + 33. Sort o, -2, -28 in ascending order.\nAnswer: -28, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10115 - -10120. Let l(g) = -74*g + 369. Calculate l(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4 - 15*p**3 - p**2 + 15*p = 0.\nAnswer: -1, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.109033mm in micrometers?\nAnswer: 6109.033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 133\/35 - (-1)\/5. Suppose c*d + 6500 = 8*d. Suppose u = -4*h + 5937 - d, -5*h = u - 5391. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 0.4 (c) -0.5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -13. Suppose 201 = 5*k + f - 4*f, -5*f - 69 = -2*k. What is the highest common divisor of k and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51210117293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3744 and 4236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33, -49, -69, -99, -145, -213, -309, -439?\n\"Answer: -x**3 + 4*x**2 - 21*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32935324 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 715.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 9*k**2 - 2*k + 22. Let q(f) = f**3 - 5*f**2 + 5*f + 5. Let b be q(4). Let n be w(b). Solve 4*j - 5*l + 6 = 0, 28 = -n*j - 5*l + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6293247 (b) 2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3209993*g**2*r**2 - 16*g*r**2 - 98*g*r + 2*g + 26*r**2 wrt g?\nAnswer: 6419986*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Sort -735, 137, 50.\nAnswer: -735, 50, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1122, -2241, -3346, -4431, -5490, -6517, -7506, -8451?\n\"Answer: b**3 + b**2 - 1129*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 20*r + 1126. Let i be m(-56). Solve i = -3*s - 3*k - 0*k, -2*k - 19 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g**(1\/4)*g))\/g*g*g)\/g)\/g)**(-44)\/(g\/g**(-4\/3)*g**2) assuming g is positive.\nAnswer: g**(152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqeq. What is prob of picking 4 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 578b0?\nAnswer: 578b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*s + 7*s - 6, 0 = 3*t - 4*s + 2. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.13 - 0.13. Which is the second biggest value? (a) 0.1 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 8:52 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 529371.7 times 0.5\nAnswer: 264685.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j = -36. Let w be 860\/24 + (1 - 10\/12). Calculate the highest common divisor of w and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 12*w + 25 + 4*w**2 + 73 + 17*w + 31 - 3*w**2. Let i be g(-32). Calculate the greatest common factor of i and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1815*s - 1814*s + 7*s**2 + 3629*s.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 f, and 1 e when three letters picked without replacement from yuejyuuufyeeuyuef?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -27*g**2 + 3*g - 1. Let f(p) = 55*p**2 - 7*p + 2. Give 3*f(q) + 7*l(q).\nAnswer: -24*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/46200 and 239\/12822810.\nAnswer: 256456200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93229 is divided by 92480.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 970*x - 990*x + 3420 = 0. What is the remainder when 298 is divided by x?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3\/3 + 69436*y**2\/3 + 3047260*y\/3 - 1038900 = 0. Calculate y.\nAnswer: -17315, -45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.001287122 rounded to 6 dps?\nAnswer: -0.001287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2. Let y(s) = -s**2. Let b be y(0). Let j(u) be the second derivative of b + 3*u + 0*u**2 + 1\/2*u**3. Calculate j(g(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 2\/3, 4, -49?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68*o**4 - 512492*o**2 - 468187435?\nAnswer: 272*o**3 - 1024984*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*i - 5333 = 477 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v*(v**(2\/7)\/v)\/v*v)**(-2\/29)*(v**(2\/5))**(-8)*(v**(-1\/7)*v\/v**(-2))\/(v\/v**(-1))**48 assuming v is positive.\nAnswer: v**(-98018\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2939670350 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-20)*g)\/g**(-38)*(g**(-4\/15))**(-35) assuming g is positive.\nAnswer: g**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119546860 to the nearest integer?\nAnswer: 10934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 - 2*j - 1. Let m be a(-1). Let y be ((0 - 3) + 0)*(-160)\/12. Suppose 4*l - 4 = y. Solve -26 = -m*f - l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 4 + (-5 - 3 + 5)*(-3 + 1 + 4))*(-1 + 1 - 2*u)*(6*u**3 - u**3 - 3*u**3).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, 4, 1\/3, -10 in decreasing order.\nAnswer: 4, 1\/3, -10, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 256*h**2 - 3*h - 3. Let d(t) = 255*t**2 - 2*t - 2. Give -3*d(y) + 2*q(y).\nAnswer: -253*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 8*h - 48. Determine z(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 2, 266744, 4 in decreasing order.\nAnswer: 266744, 105, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -298.053865 * -0.5.\nAnswer: 149.0269325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4032\/179 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (66\/55)\/(6\/15). Suppose g*t + 1114 = 2*i, 2*i - 2*t - 1102 = -5*t. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-8)*496\/6. What is the highest common factor of 31 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 30 = -198. What is the highest common divisor of t and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from fsfsssxsoffffxff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(304) + 0)**2 - ((sqrt(304)*1)**2 + sqrt(304))*5.\nAnswer: -2736 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99196.\nAnswer: 2, 24799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 7) in base 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = 2*x. Let q(h) = 8*h - 2. Let i(w) = -7*w + 2. Let g(m) = -6*i(m) - 5*q(m). Let l be g(x). Solve 3*d - l = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2361 + -1608. Suppose -6*i = -p + 27. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1449382, -1448259, -1447146, -1446049, -1444974, -1443927?\nAnswer: -1442914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 10:27 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 79*g + 36*g - 136*g. Let r(y) = -916*y**2. Give r(m(x)).\nAnswer: -403956*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3459.462 millimeters to kilometers.\nAnswer: 0.003459462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgg when three letters picked without replacement from {k: 1, g: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -5*x**4\/4 - 14*x**3\/3 - 4*x**2 + 11*x + 2. Let k(v) = -2*v**3 - 5*v**2 - 3*v + 4. Let j = 18 + -7. Give j*k(b) - 4*q(b).\nAnswer: -2*b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 48 - 13. Let l = 15 - 11. Suppose 4 = l*n - 12. Solve -3*j - k = 2*p, p - n*p - 10 = 5*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 27*b - 4*x = 60, 0 = -2*x - 6 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrq when three letters picked without replacement from {q: 3, n: 4, r: 2, f: 8}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 286020853 - 192770853. Round r to the nearest 1000000.\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31923 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: Evaluate 1 + 3 - (-3 - (-3 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 15*x + 35. Give j(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110001101 - -1110100101100111100?\nAnswer: 1110101000011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kklllkl. What is prob of picking 2 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9648 - 57887\/6. Let a(r) be the third derivative of -s*r**3 + 0*r + 0 - 13*r**2 + 1\/8*r**4. Determine a(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/4 and -1\/342?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 559702 and 677534?\nAnswer: 12873146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53952 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 34 - ((31 - (-2 + 0)) + -4)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.978 + -0.298. Which is smaller: h or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u**3 + 22*u**3 + u**3 + (-1 + 1 + 1)*(2 - u**3 - 2).\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4 + 760*l**3 + 14988*l**2 + 69192*l + 93366 = 0. What is l?\nAnswer: -13, -3, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 21*y**2 - 2. Let p(q) = -7*q. Calculate f(p(b)).\nAnswer: 1029*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l + 4. Let x be o(-4). Let w = 0.8 + 1.2. Let z = -0.0034 + 3.0034. Which is the smallest value? (a) w (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + f + 24 = 0, -m + 45*f = 42*f - 28. Let x(p) = p**3 - 23*p**2 + 25*p - 70. Calculate x(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 - 89 = 5*s. What is the units digit of s + (-3)\/(3\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x - 30 = 0. Let z(d) = -d + 0*d + 4 - 10. Let t be z(x). Solve -4 = -n - t*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.52 and 4.330829?\nAnswer: 2.810829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 88 + 57 = -5*x - 67, -3*x + 33*a + 115 + 455 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/10*(-1 - -9). Solve m + 2*o = -6, m + 2*o = -2*o - b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-27)\/3 + -13\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 38*g**2 + 91*g + 196.\nAnswer: (g - 7)**2*(3*g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 667 + -466. Calculate the smallest common multiple of 2 and q.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 169 - 7 = 0. Let g = -61 + 57. Which is the closest to 0? (a) 2\/7 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/4329184?\nAnswer: -1\/4329184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.0645 and -0.1698.\nAnswer: 0.1807521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0.07. Let v = 5.966 + 0.034. Let z = v + -3. Sort z, 1\/5, u in ascending order.\nAnswer: u, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 divided by -2.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78\/11 + -1557\/308. What is the common denominator of a and 40\/77?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 95*c**2 - 103*c - 3. Let r(w) = w**2 + 11*w - 1. Let o(p) = r(p) + v(p). Solve o(k) = 0.\nAnswer: -1\/24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4781 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003033 (base 4) to base 7.\nAnswer: -15355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517554890.\nAnswer: 2, 5, 37, 41, 109, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 4*w = -12, -397108*w + 22 = -5*u - 397109*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/1760046 and -149\/30.\nAnswer: 8800230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13*k**2 - 3*k + 22. Let z(g) = 7*g**2 - 2*g + 11. Let i(y) = 6*c(y) - 11*z(y). Let x(m) be the first derivative of i(m). Give x(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-3\/2))\/k**(12\/7))**(2\/29) assuming k is positive.\nAnswer: k**(11\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125927 divided by -110.\nAnswer: -125927\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + y**5 + 58516*y - 58516*y + 194*y**2 + (-y**5 + y - y)*(1 - 3 + 6).\nAnswer: -3*y**5 + 194*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 34372.\nAnswer: -5\/34372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253795144?\nAnswer: 2, 31724393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -155 + 153. List the prime factors of (-2)\/b - (2 - 140).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25335 is divided by 176.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 4) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + t. Let o(b) = 2*b**2 - 2*b + 4. Let k(q) = o(q) - 3*v(q). Let z be k(-5). Suppose -3*p = -z*p + 12. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 19, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 15. Let t(b) = b**2 + 2*b + 3. Let i be t(-2). Suppose i*v - 5 = -2. Calculate the highest common divisor of h and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1520, -1580, -1738, -2042, -2540, -3280?\n\"Answer: -8*i**3 - i**2 - i - 1510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 30 + -2*(3 + -1)*1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -170.3068 * 5\nAnswer: -851.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c. Suppose 3*b + 792 = -3*n, 2*n + 0*n - 5*b + 507 = 0. What is the remainder when n\/(-18)*(3 + -1) is divided by x(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (551\/76)\/((-1682)\/(-348)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 338. What are the prime factors of d(76)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i + 174. Let q be j(42). Is 4 a factor of (1\/(-2))\/((-2)\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 8. Let j(v) = 2*v - 5. Let b(o) = 95*o - 24. Let y(s) = b(s) - 5*j(s). Give y(r(n)).\nAnswer: 340*n**2 - 679","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25692 + 25698. Solve -288*v = -290*v - q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.00053 - 62.58053. Let a = -62 - t. Let j = 0.08 - a. What is the second biggest value in j, 0.14, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from mlllxllltmxtllm?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -3, -11, -2 in decreasing order.\nAnswer: -2, -3, -11, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.25, 37, 45?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -742 - -1221. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1777.48695s to days.\nAnswer: 0.020572765625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b + 3. Let r be 218\/436 + (-1)\/(2\/3). Let s(m) = 0*m - 3 - m + 5. Let n(p) = r*d(p) + 4*s(p). What is n(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3543 - 3446. Calculate the remainder when l is divided by 83.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = 3*b + 2*b, -b = -4*g + 8. Suppose -g*u = -2*n - 4*u + 122, -u - 239 = -4*n. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 42 = -4*j, -2*j - f - 9 = 4*f. Let w be (-1)\/(-2) + (-42)\/(-4). Is w\/(-44) - (-1466)\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 9:52 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -8*l + 9*l - 4, 4*l = 5*i + 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.26 + 0.04. What is the closest to -1 in -3\/5, 2\/3, a?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 9 - 9)*(-82*l + 112*l - 10*l**2 - 56*l).\nAnswer: 60*l**4 + 156*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5605943.1 rounded to the nearest 10000?\nAnswer: 5610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*i + i + 2*i)*(-4 - 1 + 3) - i + 0*i - i)*(-2*i - 4*i + 2*i) + (0 + 0 + 2*i)*(i + 3 - 3) to the form z + f*i**2 + b*i and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15029 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, -2, -18, 5.\nAnswer: -18, -2, 5, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - v - 4 + 4 - 3*v + (-v - 3 + 3)*(1 + 1 - 3) + (v + 7 - 7)*(2 + 6 - 2))*(0 + 4*v + 0) as o*v**2 + q*v + r and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3 + 10869*l**2 + 54228*l - 151956 = 0.\nAnswer: -3618, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009769 to 5 decimal places.\nAnswer: -0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8650 divided by -4325.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7594.1 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 7*o + 3*o)*(-2*o**3 + 5*o - o**2 - o**2 + 0*o**2).\nAnswer: 12*o**4 + 12*o**3 - 30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/((-804)\/288) + 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(288) + 0)**2 + (sqrt(32))**2 + -4 + 2.\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111*o**2 + 776792*o - 88619318 wrt o?\nAnswer: 222*o + 776792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1 (c) -799 (d) 106 (e) 2.97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.4 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*f - 31*f = 26520. Does 30 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7564)\/868 - ((-3)\/4 + (-77)\/(-44))*-8.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -75.\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 0.04, -2\/83?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -1\/18*m**3 + 1\/180*m**6 + 0*m**5 + 0*m**2 + 0 + 2*m - 1\/24*m**4. Let r(a) = 0. What is a?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 4*m + 3. Let b be v(3). Suppose -1 = -g + b. Calculate the smallest common multiple of 6 and g + (2 - (2 - 1)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-5))\/((-5)\/(-75)). Suppose -4*j + 0*j + 4 = 0. Let h be j\/3*o + -1. Solve h + 14 = -5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3152, 12601, 28346, 50387, 78724, 113357, 154286?\nAnswer: 201511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-36))\/((-26)\/(-234)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 92\/22 + (-6 - -9) + -7. Sort 0.5, -1, 2\/3, d in decreasing order.\nAnswer: 2\/3, 0.5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/17 - 7232*y**3\/17 - 14458*y**2\/17 - 7228*y\/17.\nAnswer: -2*y*(y + 1)**2*(y + 3614)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 - y. Let w(l) = -1953*l**2 + 1 + l**3 + 1953*l**2 - l. Let g(b) = m(b) - 2*w(b). Give g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from hbvzddh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-24) - ((-146886)\/78288 - -2). Let s = -3280\/14679 + l. Sort 2, 0.5, -27, s in descending order.\nAnswer: 2, 0.5, s, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-40)\/(-16))\/(1\/2). Suppose 0 = m - a*p - 3102, -6*m + 3*m + 9246 = 5*p. Suppose o + 1129 = -5*q + m, -1570 = -4*q - 2*o. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 1 + 0 + 1. Let v(w) = -6*w + 11. Let j(k) = -22*t(k) + 4*v(k). Let b(h) = -4*h**2. What is b(j(o))?\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdd when three letters picked without replacement from {c: 4, d: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g + 5*g - 3*g)*(6 + 3 + 26) + (-3*g + 4*g - 2*g)*(2 - 4 + 3))*(0*g**3 - 4*g**3 + 3*g**3).\nAnswer: -104*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 11534740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58653 and 892829?\nAnswer: 8035461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, d: 4, k: 3}. What is prob of sequence kad?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 115\/2 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16552?\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 304210 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -1. Let w(a) = a**3 - 6*a**2 + 3*a + 6. Let b be w(u). Let h be b\/10 - (-56)\/115. Put -3\/7, 0.5, h in decreasing order.\nAnswer: 0.5, h, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256352 is divided by 1160.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -2*(-9)\/(-6). Suppose 3*k = b + 49. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0 - (-176 + 69 - -100)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/20 + (-951)\/12. Let o = 120 + u. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7.1. Let x = q - -0.2. Let n be (-3 + 14\/8)\/(-1 + -4). Which is the smallest value? (a) -2 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j. Let v(x) be the first derivative of -1\/2*x**2 + 8 + 0*x. Determine v(i(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m**2 + 4*m**2)*(0 + 2 - 1)*(6*m**3 + 5*m**3 + 19*m**3 + (2*m - 1 + 1)*(2*m - 2*m + m**2)).\nAnswer: 96*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 12. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212311 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-172)\/(-473))\/((-2)\/11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -403, -630, -861, -1096, -1335?\nAnswer: -1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12570 divided by 4?\nAnswer: 6285\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 11 - 4 = 0. Suppose -2*a - w = 27, 2*a - 5*w + m + 18 = 0. What is the remainder when 1\/4 + a\/(-8) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-10) - (-128)\/5. Let w = 30 - v. Let r be 32 - (-1*8)\/w. Are r and 35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2319113.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (15\/2)\/5 + (-9)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 18. Let h = 12 + -58\/5. Which is the closest to m? (a) h (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from {f: 3, b: 2, g: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15957 - 13848.6. What is i rounded to the nearest ten?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 225*t**2 + 1360*t + 9360.\nAnswer: 5*(t - 36)*(t - 13)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56509276?\nAnswer: 2, 14127319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 536199 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 773 (base 9) to base 12.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1590 + q**2 - 328*q + 176*q + 152*q.\nAnswer: q**2 + 1590","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {o: 1, z: 2, r: 3, m: 5, a: 5}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -25 + 16 + 22\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3*(-2 - -3). Suppose 4*l + 5*f + m - 18 = 0, 0 = 3*f. Let h(w) = 7*w**2 + 3*w + 3. Is h(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1168842\/343 and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001151 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*u**3\/2 + 7619*u**2 + 4155*u\/2.\nAnswer: u*(u + 1385)*(11*u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -260891 divided by -38\nAnswer: 260891\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4409 is divided by 260?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from {v: 1, t: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 224*a - 1254. What is g(5)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 10*s - 7. Let f be u(-9). Suppose -4*d + f*m = -30, -m + 1 = d - 14. Suppose 4*n = 3*n + d. Calculate the remainder when 18 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*h - 5 = 9, 5*h + 22 = 4*r. Let x = -4 + r. Suppose x*c + 4*l = 24, 4*c = 5*l + 5 + 1. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2768\/(-126) + 20\/(-3150)*5.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, j: 3, n: 2}. Give prob of picking 1 j and 2 t.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 97*z**5\/60 - 5*z**4\/24 + z**3\/2 - 3*z**2. Is v(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 11*t**2 - t - 5. Let o be s(-11). Let z(p) = -o*p**2 - 16*p**2 + 3*p**2. Let h(l) = 2*l**2. Determine z(h(i)).\nAnswer: -76*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -490*v**3 - 439*v?\nAnswer: -2940*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -127, -3\/836?\nAnswer: -3\/836","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129.02306 or 0.03?\nAnswer: -129.02306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 353 - 299. What is the remainder when l is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 20 = -3*v, f - 3*v - 4 = -3*f. Let j be -2 - f - (-82)\/1. Let b = 143 - j. Is 23 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/92151 and -70\/1464177.\nAnswer: 13177593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.05 + -36. Let o = 5.05 - q. Which is the second smallest value? (a) o (b) 1\/6 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + sqrt(112) + -2 - ((sqrt(700) + (sqrt(700) - -3*sqrt(700)))*-2)**2).\nAnswer: -4*sqrt(7) + 70006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**5 - 52*w**4 - 324*w**3 - 620*w**2 - 496*w - 144.\nAnswer: 4*(w - 18)*(w + 1)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**6\/24 - g**5\/20 + 1. Factor s(u).\nAnswer: -u**4*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11 - -3) + 0 + -4. Suppose -5*n = -0*v + 5*v + r, -3*v = n + 6. Suppose l - 4*l = n, -2*l = 3*w - 99. 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 closest to 0 in -0.5, 0, 10, 2\/13, -4, -149.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137\/90 + 13\/90. Let j(p) be the first derivative of -5 + 15\/2*p**2 + 0*p + o*p**3. Let j(u) = 0. What is u?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -1\/15*l**6 + 9*l + 1\/12*l**3 + 0 + 1\/84*l**7 + 0*l**2 + 3\/20*l**5 - 1\/6*l**4. Factor y(r).\nAnswer: r*(r - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, z: 4, u: 3}. What is prob of sequence uzuz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkkrkkkkk?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -10123.1138 to the nearest ten.\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4357 - -4359. Solve 1481 = u*a + 1471 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**2 - 4*s - 3. Let f be i(-2). Let j = 18 + f. Suppose k + 23 = g, 0*g + j*k = g - 17. Is g a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2310\/(-420)*(-20)\/11.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -261.561473 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 6589*s - 6588*s. Which is smaller: 23 or s?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*n - 50, 0 = -j - 5*n + 9 + 2. Is (-30080)\/j - 4\/(84\/(-9)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 0)*(-1 - 3 + 3) + 1 + 2 - 1)*(-11*r**2 + r**2 - r**2).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -3*r + n, 218617*n - 218621*n = -4*r - 64 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m + 59. Let w be y(14). Let d(u) = 2*u**2 - 2*u**2 + w*u**2. Let x(l) = -6*l**2. Determine x(d(j)).\nAnswer: -54*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**14\/t)))\/t**(-15))**(-1\/12) assuming t is positive.\nAnswer: t**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 20060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/163, -668, 0.9 in increasing order.\nAnswer: -668, 1\/163, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r + 10*r - 6*r)*(3*r**2 - 20 + 20) - 10*r**3 + 28*r**3 - 12*r**3 + (-4*r**2 + 4*r**2 + r**2)*(r + 1 - 1) - 2*r**3 + 4*r - 4*r.\nAnswer: 38*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 14 + -6 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190.47*-20930.\nAnswer: 3986537.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlllqsqqqlllqslq. What is prob of picking 4 q?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2) - sqrt(2)) + -5 + -2)**2 + -2 + -3 + 5.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myyfrlrtryrr. Give prob of picking 1 y and 1 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -43 - 101. Let s = -17 - j. Factor 4*z**4 + 352 + 0*z**4 + 27*z**2 - 8*z - s*z**3 + 0*z**4 - 356.\nAnswer: (z - 2)**2*(z - 1)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 533615 and 246?\nAnswer: 3201690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1621165 and 0.7?\nAnswer: 1134815.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1190761 to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 2*t**4 + 2*t)*(-1 + 2 - 2) - 2*t**4 - 48*t**3 - 2*t + 4*t**4 + 44*t**3 to the form b*t**2 + i*t**3 + u + h*t + m*t**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (1 + 3))\/((-35)\/3815). Suppose 2*c - t = 4*n, -3*n = 4*c - 2*n - 391. What is the greatest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18\/13 + 100\/91. Let q = -41.6 + -1.4. Let j = q - -43.04. Which is the nearest to j? (a) -2\/11 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 124701.\nAnswer: 623505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 37\/((-4788836)\/(-78))*(-8)\/(-3). Is 1 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -60441 and -67 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26000 + 6452?\nAnswer: 32452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 3*b + 1. Let j be w(3). What is the greatest common divisor of j and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56325619 - 0.233.\nAnswer: -56325619.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6463133 to the power of 1\/2, to the nearest integer?\nAnswer: 2542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*3 - (-9)\/99*0. Suppose -8650 = -r*w - 3208. What is w rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5663338 is divided by 99.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 42 - 21 - (-13 - (6 - (-9 - (-17 - -1))))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-48))\/(6\/8)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/(36\/90)*(-1)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -29, -3, -2, 4.\nAnswer: -29, -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 4*h + 235. Determine s(17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 16*z**2 - 14*z - 1. Let l be 1550\/90 - 2\/9. What are the prime factors of s(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15957274?\nAnswer: 2, 7978637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1360)\/612*(0 + 1) - (-40)\/30\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 22*r + 4 = 0. Let p be (r\/(-1))\/(15\/60). Solve -4*k - 1 = 4*a - 21, -p*a + 3*k = -13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*s - 10 = 0, m = -107*s + 104*s - 6. Let i(g) = 33*g + 19. Determine i(m).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2964 = 389*j - 383*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**5 - 4*w**5 + 4*w**5)*(-51 + 171 - 62) + 4*w**5 - 4*w**5 - 3*w**5 + (-2*w + 2*w - 4*w)*(4*w**4 - 4*w**4 - 3*w**4).\nAnswer: 67*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -5\/42*u**7 - 9\/4*u**5 + 0*u**3 - 204*u + u**6 + 5\/3*u**4 + 0*u**2 + 0. Suppose f(n) = 0. Calculate n.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b - 3*y - 2, 5*y = -5*b - 20. Let m be (-2)\/(-8) + (-81)\/(-12). Let l(r) = -2*r + 1 + m*r - 4*r**2 - 6*r. Give l(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 2 = -4*c. Let t(b) = -36*b - 1. Let k be t(c). Suppose 7*z - k = 2*z. Solve -5*i + z*q = 2*q + 45, -5*i - 17 = 2*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 4188.\nAnswer: 20940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2\/13 (c) 5 (d) 24\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4350 = -22*j - 4878. What is the common denominator of -37\/720 and j?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + o + 393 = 4*z, -3*z = 5*o - 247. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000173848798 rounded to 6 dps?\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(0 - (0 - 2)). Let c be 50\/20*4\/5. Let i(p) = 4*p**2 + 2*p**2 + 1 + 0*p**c - 5*p**2 + p. Determine i(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + 14. Suppose k - 4*k - b = -2*y, -2*y + 5*k = -42. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3086, -3066, -3046, -3026, -3006?\nAnswer: -2986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-136)*((-1280)\/(-256))\/(5\/(-8)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34353343 + -13?\nAnswer: 34353330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Express (-132*x**2 + 190 - 134*x**2 + 268*x**2 + 437)*(3*x + 2*x - 4*x) as d*x**2 + k*x**3 + u + v*x and give v.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 9*j**3 + 0*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 580020 divided by 305\nAnswer: 116004\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/3)\/(-1))\/((114\/(-990))\/19)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.745984 months in decades?\nAnswer: 0.1478832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1081 is divided by 246?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*f + 211*f + 227*f - 162*f + 26*f.\nAnswer: 509*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 10*z - 18342. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - g**2 - 2*g + 5 - 4. Let n(o) = 252 - 3*o + 4*o**2 + 246 - 500 + 6*o. Determine 6*k(u) + 2*n(u).\nAnswer: 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6949 + -6947. Is c not equal to 1\/8781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 11 - 3 + 2. Suppose 46 = -10*r + 14*r - c, 4*c = 5*r - 41. Determine k(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2400*z - 30. Let i(y) = -15851999*y - 198165. What is 26422*b(w) - 4*i(w)?\nAnswer: -4804*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 258 - -41. Suppose 0 = 6*f - 4*i - 32 + 8, -2*f = 5*i - 8. Suppose -v = -2*b + x, b - v - 740 = -f*b. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39120 to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582222.1ml to litres.\nAnswer: 582.2221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4085175339 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/293 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205849459 to the nearest integer?\nAnswer: 14347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g - 4*t = 42, 0 = 5*g + 3*t - 56. Suppose -4*j - j - g = 0. Suppose 7*f - 2*f = -5*p - 10, -4*p + 2*f = -22. Sort -5, j, p in ascending order.\nAnswer: -5, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22309*q**5 + 6*q - 995 wrt q.\nAnswer: 446180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.35053 - -7009219?\nAnswer: 7009221.35053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097.380644 rounded to the nearest ten?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109430371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 69*n + 41*n - 631*n + (5 - 4 + 0)*(0 - 2*n + 0) as r + w*n and give w.\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5944, 11872, 17786, 23680, 29548, 35384?\nAnswer: 41182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 458\/333 - 18\/37. Solve -2\/9*d + 0 - v*d**3 - 10\/9*d**2 = 0 for d.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {c: 1, m: 4, j: 2, s: 7, n: 2, b: 1}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*f**4 + 12*f**4 - 16*f**4 + 0*f**2 + 0*f**2 + 2*f**4 + (-f + f - f**2)*(2*f - 2*f + 3*f**2).\nAnswer: -17*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + n = 10, -4*k + 2*k = 3*n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/11 - 514*k\/11 + 21012\/11 = 0 for k.\nAnswer: 51, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-387)\/215*(-10)\/(-24)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q = -4. Let o(i) = 2*i**2 - 17*i + 37. Let p be o(5). Let g be ((-1 + 1)\/2)\/(p\/q). Solve g = 3*c - 8*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 124608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -17*p - 4. Let v(n) = 16*n**2 + 5. Determine f(v(l)).\nAnswer: -272*l**2 - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 17*h - 155. Let k(m) = 20*m - 186. Let i(f) = -5*k(f) + 6*u(f). Let l(c) = 2*c**2 - 2435. Determine i(l(q)).\nAnswer: 4*q**2 - 4870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, -3057, 5929 in descending order.\nAnswer: 5929, -6\/5, -3057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 10:38 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 73598608\/11 or 6690783?\nAnswer: 6690783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 5*w + 20. Let q(y) = -3. Let i(s) = -j(s) - 4*q(s). Give i(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -54654.8.\nAnswer: -54658.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 1365.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 57 - (1\/1 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 294008, 588018, 882028, 1176038, 1470048?\n\"Answer: 294010*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1743460 and 993808?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.96 + -0.9. Let m = -0.04 + q. Let z = m + 0.28. Sort -4\/3, z, 3 in ascending order.\nAnswer: -4\/3, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((2 + 2*sqrt(4400) + 0 + sqrt(4400) + 4)*6 + 4))**2 + 5.\nAnswer: 115200*sqrt(11) + 5708805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18b05 (base 13) to base 3.\nAnswer: 2102211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0*y**2 + 0 + 0*y**3 + 5*y - 1\/6*y**4. Let j(m) = 9*m. What is x(j(q))?\nAnswer: -162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 7:52 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1537*f + 114058 = -79604 for f.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.068 or -3?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209 - 137 + 400)*(5 - 2 - 5)*(0 - 3 + 0)*(-2 + 2 - 4*k).\nAnswer: -1296*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 940*z**3 - z**2 + 9*z + 149. Calculate s(0).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 63887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-36))\/(-1)*1\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*(sqrt(24)\/sqrt(2) + sqrt(12) + sqrt(12))*-3)\/(sqrt(12)\/(sqrt(3) - (sqrt(243)*-1 - sqrt(3)))) + 3)**2.\nAnswer: 594*sqrt(3) + 29412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0086639 rounded to five dps?\nAnswer: 0.00866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 + -47 - 35 - 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (4 - 1) + 3 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 5*m + 220 = 15*q, -3*q + 175 = -4*m. Let y be (4 + q\/(-15))\/((-4)\/(-3)). What is the closest to 55 in 3\/2, y, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -69.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10713587 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g. Suppose 0 = -z + 56 - 7. Suppose 14 = 7*p - z. Let m(v) = 5*v. Let l(i) = p*t(i) + 4*m(i). Let q(o) = -12*o. What is l(q(b))?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (10 - (6 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 227532, 227537, 227544, 227553, 227564?\n\"Answer: a**2 + 2*a + 227529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18051815*l - 2186006?\nAnswer: -18051815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 4*m - 44. Let f be i(-5). Let k be f + 35\/(-15) + (-35)\/3. Let p = 31 - 43. Is k < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/9)\/(-2))\/(602\/4644*(-27)\/(-441)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202393.9484901241 + 202416.2111. Let u = -0.2626099359 + w. Let a = -22 + u. What is a rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6588 = -104*u - 140*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6*l + 1 = 0. Suppose -12 = -n - 3*n. Let w = n - l. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(12\/108) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7051844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*l - 90*l = 87*l - 69972. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -20*i**3 - 4*i**2 - 4*i - 3. Let y be d(-2). Suppose -4*h = -3*a + y + 73, -5*a + 347 = h. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**3 + 5*a**3 + 44*a**3)*(2*a + 0*a - 4*a)*(0 + 2 - 3) in the form g*a**4 + t*a**2 + c + s*a + h*a**3 and give g.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 6 - (12 - 1092\/70).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**5\/60 - 13*v**4\/24 + v**3\/2 - 734*v**2. What is i(-14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/1*7\/3. Suppose -a - 4*n + 16 = -j, 20 = 2*a - 5*n. Solve 0 = -2*k - k + a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30225783 is divided by 1252?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-12))\/((-92)\/(-874)) and 93\/140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -3\/44, -1, -12\/5, 1 in increasing order.\nAnswer: -12\/5, -1, -3\/44, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**2 - 6*o**2 - o**6 + 5*o**6 wrt o.\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 28)*(0*l - 2*l - l) in the form i + o*l and give o.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 4:02 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 540 - 536. Suppose -2*r = -5*s + j - 20, -15 = 3*s - 3*r. Sort -0.185, s, 1 in descending order.\nAnswer: 1, -0.185, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.37 - -0.07. Let s = 0.299998 + x. Round s to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*t + 398*t + 180*t.\nAnswer: 441*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/8)\/((-3)\/(-2)). Which is the third smallest value? (a) 4\/7 (b) n (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*t - 69 = -2279 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 125*v + 3. Let i be q(-125). Put 26, 2, i, 1, 5 in ascending order.\nAnswer: 1, 2, i, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-9 - -2) - 4. Suppose 3 - 1 = p, q = -3*w + p + 235. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1313959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.293605 centuries in decades?\nAnswer: 2.93605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 + 1 + t**3 - 3*t**3 - 4*t + 6*t to u*t**2 + q*t + i*t**3 + h and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 218, 217, 216, 215?\n\"Answer: -w + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 21*p + 2. Let g(d) = -88*d - 9. Let i(q) = -6*g(q) - 26*t(q). What is i(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 19*n**2 + 19*n - 12. Let l be b(20). Let p = l - -35. Suppose -2*u - 15 = -4*r + 3, p = 4*r - 5*u. Which is bigger: r or 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 17. Let g = -24 - b. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 80 - 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*x**2 + 221*x**2 - 33*x - 90*x - 77*x**2 - 375*x**2.\nAnswer: -2*x**2 - 123*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.3 and -30.07.\nAnswer: -28.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -20*t + 143. Let u be r(0). Let k = u + -121. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 11*i + 60. Let q(o) = -o**2 - 1. Let b(j) = 5*j**3 + 3*j**2 + 13*j + 3. Let w(r) = i*q(r) - 2*b(r). Find the second derivative of w(s) wrt s.\nAnswer: -60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106149736, -212299466, -318449188, -424598902?\nAnswer: -530748608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, y: 4}. Give prob of sequence bbby.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -339 + -22?\nAnswer: -35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 16*v**2 + 7*v - 7. Let b(p) = p**3 - 14*p**2 + 6*p - 7. What is -5*b(x) + 4*y(x)?\nAnswer: -x**3 + 6*x**2 - 2*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 4*w**2 + 4*w + 3. Let v be f(-2). Solve s - v*s + 5*k = 11, 4*s = 2*k + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -92*i**3 + 38*i**2 + 160*i - 2. What are the prime factors of h(-4)?\nAnswer: 2, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 14*g**2. Let r(k) = -139*k. Give b(r(i)).\nAnswer: 270494*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.115669257 from -59.\nAnswer: -58.884330743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2 + 21669336*s + 58695015335112 = 0.\nAnswer: -5417334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 86*q = 53927 + 119545. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 14*x + 2. What are the prime factors of c(4)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1770 + -1631. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-8)\/(-4))*-59. Let c = q + -118. Let h = -40 - c. Calculate the common denominator of h and 53\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(4*sqrt(64)))\/(sqrt(75) - (sqrt(75)*4*2 + sqrt(75))).\nAnswer: -sqrt(13)\/640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*v + 30. Suppose 2*b = -5 + v. Calculate the remainder when b is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 4555.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v**2 + 3*v - 2. Let d(u) = 30 - 3*u**2 + 37 + 9*u - 74 + 0*u**2 - 18*u**2. What is -2*d(h) + 7*f(h)?\nAnswer: -7*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*r = -27, -7*b - 5*r = -11*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129 - -45133840.\nAnswer: 45133711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -534, -817, -1120, -1449, -1810, -2209, -2652?\nAnswer: -3145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10044220 - 1?\nAnswer: 10044215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 104, 127, 170, 239, 340?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, t: 7, l: 5}. What is prob of sequence ttti?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g - 1. Let j(m) = 2*m**3 + m**2 - 14*m + 1. What is -j(y) - k(y)?\nAnswer: -3*y**3 - y**2 + 13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(2\/3))\/l)**(-15\/2)\/(((l*l**(-1\/18))\/l)\/l**(6\/7)))**15 assuming l is positive.\nAnswer: l**(3725\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24493766?\nAnswer: 2, 11, 839, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d019d (base 14) in base 11?\nAnswer: -6495a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6775860 divided by -967980?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*a**3 + 2*a**2 - 4*a**2 - 1210*a**3 + 0*a**2.\nAnswer: -1514*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723*j - 2380 + 7731 = -33331 - 3252 for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -532\/5 - -106. Let f be (-3 + 0 + 2)*-8. Suppose 0 = 3*o - 7*o - 16. What is the second biggest value in f, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128 * -5.\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(228)*2 - sqrt(228)))\/(3*sqrt(12)*-1) + -3 + -3 + 1.\nAnswer: -4*sqrt(19)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5*z*z**(-4))\/(z**(2\/7))**(-1\/4))**(-2\/9) assuming z is positive.\nAnswer: z**(-29\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 173 or -0.5?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -169 and 846.\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 + -0.07999936. Round k to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 - 2*d - 2. Suppose 5*u + 4*w - 204 = u, 157 = 3*u + 2*w. Suppose u*t - 20 = 50*t. Suppose t*i + 18 = -5*i. What is h(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2. Let g(k) be the third derivative of k**7\/1260 + k**5\/30 + 37*k**3\/3 + 70*k**2. Let u(w) be the third derivative of g(w). What is u(f(r))?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ab3c (base 15) to base 6.\nAnswer: -4011033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34100982 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czrq when four letters picked without replacement from {z: 2, g: 4, q: 1, r: 1, c: 1}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5*p - 40, -5*i + 3*p + 11 = 3. Suppose -3*g = 4*y - 29, -3*y = -i*g - 0*g + 22. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -8*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -888, -1731, -2600, -3489, -4392?\nAnswer: -5303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 49. Suppose f + 5*i - 3 - 3 = 0, -z = -3*f - 5*i. Which is smaller: f or 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 72. Suppose 0 = -5*b + 4*u + 26, 14*b + 3*u + 2 = l*b. Let k(y) = -3*y - 1. Calculate k(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51*u**3 - 10 - 2*u**2 + 31 + 2*u**2 wrt u?\nAnswer: 153*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/7)\/a*a)\/a)\/a)\/(a\/(a\/((a**(-1)*a)\/a)))*a\/a**(-6)*a\/(a\/(a*a**6)) assuming a is positive.\nAnswer: a**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 9:51 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434527 is divided by 14016.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046 + 7298?\nAnswer: 7298.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 698173.9 centuries in decades?\nAnswer: 6981739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 197, 311, 443, 599, 785?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -2\/5 (c) -2 (d) 0 (e) 204343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 3*c**4\/16 - c**3\/2 - 9*c**2\/8 - 52. Factor u(m).\nAnswer: 3*m*(m - 3)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1707 + 3042. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**3\/2 - 1695*x**2 + 33525*x\/2 - 41750 = 0.\nAnswer: 5, 668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 99?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1265 and 1265?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/(-14) + 2\/(-7). Let g = -0.0018 - 67.8982. Let d = -67.8 - g. What is the second smallest value in -0.1, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2236\/9 + -248. Solve 2\/9 + i*s + 2\/9*s**2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = q, -4*q = 5*z - q - 22. Suppose -16 - 9 = -z*w. Put -1, 3, w in decreasing order.\nAnswer: w, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + u + u = 692, -4*j + 688 = 4*u. Suppose -4*w - 5*d = -172, 4*w - 3*d = j - 34. Suppose -10*q + w = -12. Is 0.4 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -360*o - 22. Let i be g(6). Let k be (i\/24)\/((-52)\/(-12) + -4). Let b = k + 14349\/52. What is the common denominator of 41\/6 and b?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 361 + -257. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -949508 divided by 474754.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*s**3 + 57*s**2 - s - 55184 wrt s?\nAnswer: 84*s**2 + 114*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppuppu. Give prob of picking 3 p.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, 22, -0.05, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -1\/540*u**6 - 17*u**2 + 0*u**4 + u**3 + 0*u + 1\/180*u**5 + 0. Let j(k) be the first derivative of w(k). Solve j(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8333536215 + 0.1?\nAnswer: -8333536214.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -37. Suppose 4 = y, -3*y = -q + 2*y - i. Let s(d) = -4 + 8*d**2 - 5*d - d**3 - 9*d + 5*d + q. What is s(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4554.509km to micrometers.\nAnswer: 4554509000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*a*f**3*t - 1555*a*f**2 + 13*a*t + 4*f**4*t - 190*f**3*t wrt f.\nAnswer: 120*a*t + 96*f*t - 1140*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**10*t)\/((t\/t**(6\/7))\/t))**(7\/3)\/((t\/t**(-2\/15)*t*t**4*t)\/(t**(-1\/2)\/t)**(9\/7)) assuming t is positive.\nAnswer: t**(3907\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*b + 5*m, -15*b + 6 = -13*b - 4*m. Let q(w) = -14*w**3 - 3*w - 2. What is the units digit of q(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2299*z + 1893*z + 1095*z + 582368 = 127686 for z.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 36*f**2 + 31*f - 211. What is d(18)?\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 8. Let p be s(6). Suppose -z - 15 = p*z. Which is the second smallest value? (a) 4 (b) z (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*j + 19, -j = 5*c - 2*j - 20. What is the highest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.3096 to two dps.\nAnswer: 8.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 11. Suppose 0 = -s*b - b. Let l = 78 - 700\/9. Which is greater: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 325?\nAnswer: 325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -102120123 (base 5) to base 14\nAnswer: -b14d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-6\/5)*i))\/(i**7*i)*i\/i**(-7)*i**6*(i**(-1)\/i)\/(i\/((i*i**7*i)\/i))*(i**(-1))**11 assuming i is positive.\nAnswer: i**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -3*v - 6*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(27))**2 + 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*b + 25. What is the remainder when 36 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8817*y**4 - 22189 wrt y?\nAnswer: -35268*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/sqrt(125) + (1 + sqrt(19))*3.\nAnswer: 3 + 16*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1071.2 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.8466 decades in centuries?\nAnswer: 37.58466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8723186 is divided by 314?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*f - 4. Let u be (-4)\/f + 36 + 3. Suppose -u - 18 = -5*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**6\/360 + q**4\/6 + 2*q**3 + 8*q. Let p(v) be the second derivative of n(v). Differentiate p(x) wrt x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33214 (base 7) to base 8.\nAnswer: -20225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t**3 - 2*t**3 + 4*t**3.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1 = 5, -2*o = 2*l - 10. Let q be 122\/6 - l\/(-6). Calculate the highest common factor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 2:32 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 993156171*k**3 + 848834480 wrt k.\nAnswer: 2979468513*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -1\/3*c**2 - 95*c - 284\/3 = 0.\nAnswer: -284, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 2:49 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 3\/5 (b) -0.077 (c) -2\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3.2. Let x = -27.8 - -28. Let h = x - m. Which is the third biggest value? (a) h (b) 0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -4. Let o = g + 0. Suppose -j = -3, j + 12 = o*u + 5*j. Solve -l - 1 + 2 = u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14) - (-12)\/(-56). What is the closest to n in 4, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713289809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 1. Let r = 13.9 + -8.9. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16.32 from -433156624.\nAnswer: -433156607.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7 + y**3 + 1 + y + 6*y**2 - 4. Let h be s(-5). Suppose 0 = -23*l + 44*l - 3528. What is the greatest common divisor of h and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-2) + (-3 - -2). Find the first derivative of -m*w - 117 + 13*w**2 + 2*w + 122 wrt w.\nAnswer: 26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 - 16*o + 17*o - 84 + (-3 + 1 + 4 + (3 - 2 - 2)*(-1 + 3 - 1))*(4*o + 2*o - o) to the form j*o + m and give m.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, -397, 5, -6 in descending order.\nAnswer: 10, 5, -5, -6, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 790, 1787, 2776, 3751, 4706?\n\"Answer: -t**3 + 2*t**2 + 998*t - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, b: 4, c: 3, i: 1, t: 1}. What is prob of picking 1 b, 1 d, and 1 c?\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -386?\nAnswer: -1544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3)\/(h*((h\/h**(-2\/19))\/h)\/h)*h**(1\/3)*h**(2\/13)*(h*((h*h**(1\/3))\/h)\/h*h**(4\/9))**21 assuming h is positive.\nAnswer: h**(10163\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35055552?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 195012163 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.203204439 rounded to 4 decimal places?\nAnswer: 0.2032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.3 + 14.3. What is the third smallest value in 5, o, 3\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + d - 4*d. Suppose -4*v = -29 + 13. Let c(t) = 28*t**2 - v*t**2 - 8*t**2 - 8*t**2. Give q(c(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/6)\/((-1)\/6). What is the units digit of w\/(-7) + (-1548)\/(-63)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 2094, 0.2, -4 in increasing order.\nAnswer: -4, 0.2, 4\/3, 2094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000020093 rounded to 7 decimal places?\nAnswer: -0.0000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -72.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21647 times -42.9\nAnswer: -928656.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127 and 2032.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710*o + 1145*o = 466*o - 1040*o + 4858 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231616 - 6303937.\nAnswer: -6535553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-11))\/(((-6)\/(-6))\/(-5))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58491\/14 - 4180. Let t = h + 4\/7. Let q = -73\/4 - -18. Which is the biggest value? (a) t (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 828478 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)*y*(y*(y*(y**12*y)\/y)\/y*y)\/y*(y**(-2\/9))**(20\/3) assuming y is positive.\nAnswer: y**(149\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 8:05 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2229150 divided by -154.\nAnswer: -14475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/((-5)\/(-4)))\/(12\/(-1800)). Let k = -8 - -23. What is the greatest common divisor of t and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30915631 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2173809.\nAnswer: 3, 11, 19, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*z - z - 18, -3*y - 4*z + 39 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*1*9\/45. Let x = -0.3 + -0.7. Let r = 1.4 + -0.8. Which is the biggest value? (a) x (b) r (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*w = 6, -4*p - 5*w = 25 - 1. Let a be ((-10)\/(-15))\/(4\/p). Let s be 123\/9 - a\/3. What is the highest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1373\/7 = 195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/797040 and -73\/236160.\nAnswer: 6376320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39169 and 6.\nAnswer: -235014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 19 = 3*z, j - 20 = 5*j. Suppose 18 + 12 = z*a. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (232 - 59 - 89)*(-4*a**3 + a**3 + a**3).\nAnswer: -168*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30334516*t**3 - 5825790*t**2 - 3*t wrt t?\nAnswer: -182007096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 24 = 2*u - 82, 156 = 3*u + 3*x. Suppose 53 = 2*v - 55. Is v > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:54 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88120 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*o**3 + 1014272 - 1014272.\nAnswer: -42*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*o + 17, -2*o - 8 = 2*m - o. Let q = 14 + m. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13703.820567 - 1\nAnswer: -13704.820567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 11:51 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2. Let i be m(2). What is the third derivative of -2*c**4 + 3*c**2 - c**4 + i*c**4 wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-17))\/(-21)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 352 + -10?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 13 - 5 - 10 - 10*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -70. Suppose -2*o + 107 - g = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115597\/99078 - -1\/16513. What is the third biggest value in -1, x, -4, 17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/t)\/t**(-3)*(t\/t**(-1)*t)**(18\/5) assuming t is positive.\nAnswer: t**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krzpkkmkzkkzkmkrrrz. What is prob of sequence krz?\nAnswer: 64\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = 2*h - 128, 378 = -3*v + 3*h. Let d = v - -127. Let o be 6*((-20)\/(12\/d))\/(-6). Solve y + 2 - o = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z - 16. Let h be t(5). Let a be (h - 4)*-1*4\/(-2). Let d = -8 + a. What is the remainder when 4 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52449053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsujsslsssqqq. What is prob of sequence jsu?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -198, -191, -184, -177?\n\"Answer: 7*k - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -18626.\nAnswer: 2\/9313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139351 is divided by 959.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6*2\/(-36)*-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 6*x**2 - 7*x - 14. Let m be u(-6). Let h be (-41)\/14 + 84\/m. Does 0 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 1755*r**2 - 156102*r - 824760.\nAnswer: -3*(r - 474)*(r - 116)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01068804 to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-67*o**2 + 14*o**2 + 30*o**2)*(-4*o + 3*o + 4*o) - 4*o**3 - o**3 - o**3 + 0*o**3 - 3*o**3 + 4*o**3 to the form h*o**2 + v*o**3 + d + a*o and give v.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 + u**2 + u**2 + 10*u**2.\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e4 + -83924?\nAnswer: -83730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5 - 8 + 140*k**2 + 3 + 218*k**2. Let i(z) = z. Determine i(r(l)).\nAnswer: 358*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2635380 divided by -58564.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.94 + 0.98. Let g = -0.08 - q. Let x be 2\/(1*-2) + 0. Does x = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1144*w**3 - 22*w**2 - 39*w + 139. Is o(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371676515?\nAnswer: 5, 7, 31, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34186854 to the power of 1\/2, to the nearest integer?\nAnswer: 5847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 15, j: 3}. Give prob of picking 1 o and 1 j.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1641, -978, 155, 1758, 3831, 6374, 9387?\n\"Answer: 235*m**2 - 42*m - 1834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3520 and 70145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-39)\/(-18))*(-590 + 578). Let q(n) be the second derivative of n**3\/2 - n**2 + n. Let k(y) = 7*y - 4. Give u*k(c) - 5*q(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Express -64*o - 182*o**3 + 1 + 63*o + 35*o**3 in the form q*o**2 + z*o**3 + f + a*o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - -24?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 a when four letters picked without replacement from {a: 2, c: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/(-6) + (-2)\/3. Let n be (-26)\/(-6) + (-3)\/9. What is the second derivative of -r - 2*r**4 + r**n + 2*r**b - 4*r**4 wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3112, 6905, 10698, 14491, 18284, 22077?\nAnswer: 25870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (40 - 18) - -22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6493, -1, -1090 in increasing order.\nAnswer: -6493, -1090, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 23. Let f = -27 - -11. Let a = f + 23. What is o(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -20*k + 3. Let v be x(-18). Let z = 479 - v. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - r + 13 + 17 = 0, -r = -f + 6. Suppose f*s - 35 = s. Suppose -w - 3 = -2*w. Solve w*l = -2 - s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -16. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 5)*2*1. Let t(c) = 2 - 4*c - a. Let k(g) = 6*g**2 - 360*g - 5. Let f(h) = 8*h**2 - 504*h - 7. Let p(y) = 5*f(y) - 7*k(y). Determine t(p(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 = 2*v, 0 = -3*q - 2*v - v. Suppose 0 = -q*f - c + 11, 4*c + 8 - 28 = 0. What are the prime factors of (-74)\/(-8) - f\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2334 (base 13) in base 16?\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66333797 and 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-5))\/(-1) - 1626\/(-10) is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 108\/(-243) - (-472)\/(-126) and 7\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -659? (a) 2\/13 (b) 0.2 (c) -11 (d) -3\/5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 14) to base 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - q - 80. What is the least common multiple of 24 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2151 = -8*i + 1321. What is the common denominator of 9\/(-27) + i\/564 and 31\/10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -1, -0.1227124, 5 in decreasing order.\nAnswer: 5, 4\/3, -0.1227124, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + -3)\/(-2) + 16. Suppose k + 7 = z - 4*h, -4*z = -2*h - 18. Solve 0 = -6*m + 3*m - 2*v - 9, -z*v - 7 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193365.8*-0.1.\nAnswer: -19336.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37547621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) 31 (c) 0.19 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1644 - -2640. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113461?\nAnswer: 83, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**4 - 501837*x**3 + 16365266*x**2 + 6626400*x = 0. Calculate x.\nAnswer: -100400, -2\/5, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.41, 2, 2\/21 in descending order.\nAnswer: 2, 0.41, 2\/21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6)\/((-13)\/(-26))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, 3, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390186 and 1663776?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - 247*b + 7 + 247*b)*(4 + 3 - 4)*(2 - 5 + 2).\nAnswer: 6*b**2 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 770976.\nAnswer: 770976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**3 - 81*o**2 - 14*o. Give y(-16).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00057247 to 5 dps.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26924 - 24860 = 48*c. Solve -c + 7 = -36*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*f, 4*d - 1186 = 2*f - 324. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 172 = 154*i - 155*i, -3*b = -3*i + 576. What is the remainder when i is divided by 133?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9898.7 millimeters?\nAnswer: 9898700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -7*w**4\/24 - 121*w**2. Let m(a) = -36*a. Determine j(m(k)).\nAnswer: 252*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-19)\/((-798)\/12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3148899, -3148901, -3148903, -3148905?\nAnswer: -3148907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1 and -0.232.\nAnswer: -0.4872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -313470 and -168?\nAnswer: 52662960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*l**5 + l**5 + 4*l**5)*(-1 + 4 - 4) + (-3*l**3 + 5*l**3 - 4*l**3)*(-6293*l**2 + 3*l + 6226*l**2 - 2*l).\nAnswer: 142*l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 16*r - 4832 = -12*r, -5*t + 2*r = 6033. Let a = -613 - t. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418121.\nAnswer: 11, 38011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s**2 - 368*s - 54. Give z(-28).\nAnswer: 842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -885*o - 166 + 228*o + 219*o + 228*o + 216*o.\nAnswer: 6*o - 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/(-4) - 3)*26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhw when four letters picked without replacement from {h: 3, w: 2, e: 15}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5522 is divided by 685.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-42)*54\/(-4). Let a(k) = 2*k**2 + 16*k - 11. Let z be a(u). Calculate the greatest common divisor of 49 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19391090 to the nearest integer?\nAnswer: 4404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -10 + -11 + 6 + -4 + 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120 - 32 + 3*m**2 - 34 - 30 - 29 to b*m + h + v*m**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*x - 3*j - 9 = -70*x, -x + 4*j - 10 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.10993 - -220.22993. Let b = k - 216. Round b to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 25. Suppose 0 = -q + s*q. Let h(i) = i**3 + 2*i + 47. Is 3 a factor of h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 10:49 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 216.4224 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460272?\nAnswer: 2, 3, 43, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/13601719 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from gwg.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68400 and 30570.\nAnswer: 69699600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*q + 4*k - 208, 4*q = 2*k - 296. Let o be 2122\/392 + 19\/q - 5. Is -1 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h. Let q(b) = 370*b**2 - b. Determine n(q(z)).\nAnswer: 740*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3810 = 84*o + 450. Calculate the remainder when 802 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3*c*(c*c\/c**(-7))\/c*(c*c\/(c*c\/(c\/((c*c\/c**3)\/c))*c*c))**(4\/3))**24 assuming c is positive.\nAnswer: c**320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (220\/20)\/(3531\/25359)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 5*b**2 - 8*b + 17. Determine l(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k + 3. Let w be j(3). Suppose -4*m + 10 = -w*m. What is the units digit of (8*-1 - 2)\/m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 12:55 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 577903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -7.3. Suppose 0 = -2*t - 4*j, -t + 0*t + 1 = j. Suppose 0 = -r + t*i + 3 + 5, 0 = -4*r - i - 13. Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 97*c - 18798. Determine n(194).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-1)\/sqrt(9) - sqrt(468)*-3)**2.\nAnswer: 3757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70350 + -43675. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -30?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236258 is divided by 114783.\nAnswer: 6692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*(-338)\/(-3042).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.767?\nAnswer: 2.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -19, -4, 458, 2 in increasing order.\nAnswer: -19, -4, 0, 2, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, d: 2, b: 3, z: 6, p: 1}. What is prob of sequence dnn?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (1 + -3 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 5094*d**2 + 15184*d + 203520.\nAnswer: 2*(d - 2544)*(d - 8)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9 + (-14)\/(-3). Suppose 4 = -3*y + 2*o, -y - o = -3*o - t. Let s be y + 3 + 3 - -258. What is s rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, r: 2, i: 4, j: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.049108 * -3\nAnswer: 0.147324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 63*p**2 - 64*p - 6. Determine b(-64).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/7 - 120*l\/7 + 256\/7.\nAnswer: -4*(l - 2)*(l + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3 = 3*w + 2*c, 4*w = 5*c + 64. What is w rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/13 (b) -0.5 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3054 + 3064. Sort l, -11, 5, 4, 1 in decreasing order.\nAnswer: l, 5, 4, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 27*v**2 + 49*v + 30. Let k be u(25). Which is smaller: 70\/11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*o = 898 - 924, 2*o - 8 = -i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 489b?\nAnswer: 4897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from wwiwk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 48*c**2 - 702*c - 18760. Give g(-42).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2599.9877 + 1.9877. Which is greater: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7762 times 0.01?\nAnswer: -77.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) 4 (b) -1 (c) 51 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 499*q - 45136 = -141*q for q.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 8:35 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 13*k**2 + 24*k + 25. Let b be l(-11). Is 259\/63*b*21 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218175847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1240 - 840. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.21 or -4?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.0917256.\nAnswer: 0.0917256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2. Let y(t) = -1797*t**2. Determine y(a(b)).\nAnswer: -28752*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*l - 1. Let u be 2*(1 - -3)\/4. Solve 1 = u*w + l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2039*o**2 + 868 wrt o?\nAnswer: 4078*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2315755183.\nAnswer: 7, 29, 11407661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, j: 15}. Give prob of sequence mmj.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/9 > -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -232 + 234. Suppose -4*t + 8 = -2*t. Solve -w - t = -r*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -44 - 60. Let u be b*(-2 + 3)*1. Let j be (-3 - -4)\/(2 - u\/(-14)). What is the greatest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/11880*-18)\/(4\/10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 51\/13 (c) 2\/3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22555 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.06 + -2. Let u = k + -0.06. Which is the nearest to u? (a) -2 (b) 3\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*b + 576, 4*v - 4*b = -0*b + 1136. What is v rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 246*w + 1319. Calculate the remainder when x(9) is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 43. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 24 = -5*b + 3*z, 14 = -5*b - 3*z. Let f = 6 + b. Solve 21 = -3*r + 5*j + 4, f*j = -2*r + 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 - 7161475731*g + 7161475731*g.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 108 (b) -438 (c) -10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3097*m - 4355 - 77047 - 138485 = 0 for m.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (392\/(42\/(-3)))\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 1. Let r(s) = -5*s**2 - 3. Let z = 305 + -306. Let t = -1 - -4. Determine t*j(q) + z*r(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 7:55 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3006590 and 255880.\nAnswer: 12026360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4*5.9\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*v - 6*v + 21*v - 5*v to t*v + f and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/42)\/((-3)\/(48048\/260))?\nAnswer: -88\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.02 - 13. Let m = o + -0.0200009. Round m to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/((-4)\/18). Suppose -c = -2*y - p - 2*p, 3*p = -3. Suppose i + 3*v - v = y, 2*i + 3*v - 6 = 0. Solve -i*t + t = -5*j - 9, 5*t = -5*j + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**0\/k*k**1*(k**0)**(-5\/8)*(k\/(k**(-2)*k))\/k**0*((k**0*k)\/k)\/(k\/(k\/((k**(1\/6)\/k)\/k))) assuming k is positive.\nAnswer: k**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**3 + g**2. Let v be (-3)\/(-9) - (-104)\/(-6). Let f = v + 29. Let y = f + -11. Determine d(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a + 5. Suppose 7*h = 2*h - 5*u + 15, -4*h + 12 = 3*u. Solve a*x + 8 = h*i, -5*i = -1 - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -1, -2\/25, 0.25, -2\/11, 7, 2828?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2, -41, 32\/42789?\nAnswer: 32\/42789","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*j**4*y - 2*j**4 - j**3*y - 1996*j**3 - j**2*y - 10833*j*y + 2*y - 5 wrt j.\nAnswer: -600*j*y - 48*j - 6*y - 11976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -49081*u**2 + 6*u - 5. Let f be i(1). Suppose -2126187 = -4*m - 9529867. Let n = m + f. What is n rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10) + 12\/5. Suppose -4*l + 3*k - 3 = 0, 5*l - q*k + k = -1. Solve h + l*h - 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -5 - (31\/4 - 4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63 + -1420?\nAnswer: -1483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, -1\/5, 72, 0.5, -3, -0.7.\nAnswer: -170, -3, -0.7, -1\/5, 0.5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -17. Let c = h + -4. Let s = -6 + c. What is the third smallest value in s, -1\/5, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*o + 2180 = 0, -5*r - 1062 = -4*o - 3207. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 394, -1\/47 in ascending order.\nAnswer: -2, -1\/47, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 51438590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3450000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -0.041?\nAnswer: 5.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -1\/24*a**6 + 0*a**5 + 0 + 0*a + 0*a**3 + 5\/24*a**4 - 6*a**2. What is the second derivative of i(p) wrt p?\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 - 1040181*d**2 - 4160688*d - 4160676 = 0. What is d?\nAnswer: -346723, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44094547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 equal to -449\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 5 - t)*(t**2 - t**2 - 4*t**2)*(3 - 9 - 1) to y*t**3 + q + n*t**2 + x*t and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -16, 37, 1, 1\/3 in ascending order.\nAnswer: -16, 1\/3, 2\/5, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -45*l**4 + 581 - 28*l**4 + 137 - 13*l**4 - 184 wrt l?\nAnswer: -344*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 700 and 1774080.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100340 divided by -5.\nAnswer: -20068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-13)\/7 - 0. Let b = -58 + 54. What is the nearest to b in -1\/2, 5, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (415\/(-15))\/((-16)\/(-6) - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + d**2 - 2*d + (1 + 0 - 3)*(d**2 - 2*d**2 + 0*d**2))*(2*d + 19*d + 3*d) as m*d**3 + g*d**2 + w + f*d and give m.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -308\/3125 and 31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 672858.6 litres?\nAnswer: 672858600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432543 is divided by 1724.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 89579776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 4, 6, -11, -27, -1 in decreasing order.\nAnswer: 6, 4, 0, -1, -2, -11, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104016 and 224048?\nAnswer: 132412368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 315, 479, 713, 1023, 1415, 1895, 2469?\nAnswer: 3143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2220220122 (base 3) to base 11.\nAnswer: -3a248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(((s*s**(-7))\/s)\/s)\/s*s))**2\/(s**(-1)*s*s**10) assuming s is positive.\nAnswer: s**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78050 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 47, 0 in descending order.\nAnswer: 71, 47, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 398095. Let m(q) = 4*q. Give t(m(j)).\nAnswer: -4*j - 398095","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 271*n**2 + 25*n + 24. Let m be p(-1). Suppose 20*a - 2*a = -m. Suppose -7 - 8 = b. Is a less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4 + 128*u**3\/5 + 294*u**2\/5 + 136*u\/5 - 8 = 0.\nAnswer: -10, -2, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/3*3\/(-6). Suppose g*m + 5*h = 23 + 25, -4*m - 5*h = -76. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - 109*o**3 + 7*o**2 - 3*o**2 - 3*o**2 - 84 + 107*o**3 to z*o + u*o**3 + d*o**2 + x and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 13*t = 2996 - 3364 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 40.66544 centuries?\nAnswer: 48798.528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -217 or -10793\/50?\nAnswer: -10793\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-39)\/(-12) - 25\/20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 a, and 1 q when three letters picked without replacement from ndqauudunqaqd.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**4 - 249*n**3 - 951*n**2 - 219*n + 1422 = 0. What is n?\nAnswer: -79, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, s: 1, c: 5, o: 1, v: 2, u: 4}. Give prob of sequence euou.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*v = 885, 0*v - 720 = -4*h - v. Suppose 0 = 3*z - 5*d + 145 + 172, 2*z + d + 220 = 0. Let i = z + h. Does 36 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9291 = -12*j + 17181. List the prime factors of j.\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, -1, -0.3, 0.0142 in ascending order.\nAnswer: -1, -0.3, 0, 0.0142, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*o + 6 = -48*o. Let p(z) = -22 + 11 + 2*z**2 - z**o. What is the units digit of p(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**3 - 1290*f**2 + 1310*f - 9900. Determine m(429).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -130\/69337?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266 by -7.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4214, 4218, 4222, 4226, 4230?\n\"Answer: 4*d + 4210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpqh when four letters picked without replacement from tnkkhpqph?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 227 + -125. Let y = -154672\/9 - -17084. Let b = s + y. Is -1 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (8 - -10) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8020 < -8016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 - 44*k**2 - 280*k - 400 = 0 for k.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -17\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 7*o + 180 = 0. Suppose 3 = v + 2*z + 15, 0 = 4*v + z + 34. Calculate the least common multiple of 3\/(-4) - 70\/v and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -203 less than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 531688?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13b (base 16) to base 6.\nAnswer: -1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5433879882?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyyz. What is prob of sequence yi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -3, 27, 1, 10 in increasing order.\nAnswer: -3, 1, 10, 26, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*r - 20 = 0, 10 + 1 = -u - 5*r. Let v(x) = -25*x. Let y(t) = 1176*t. Calculate u*y(w) - 280*v(w).\nAnswer: -56*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 10:39 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 96*t**3 + 5*t**2 + 40*t + 2147. Let i(y) = -48*y**3 - 2*y**2 - 16*y - 1074. Let b(q) = 2*c(q) + 5*i(q). Find the first derivative of b(o) wrt o.\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:21 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 882327836 divided by 220581959\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084728 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**2 - 43. Let g(m) be the first derivative of 0*m + 5\/2*m**2 - 1. Determine g(o(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 3*j**2 + 3*j - 2. Let s be p(-4). Find the third derivative of 2*b**2 - 3*b**2 + 3*b**s + b**3 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*t + 5*k + 33 = 57*t, 5*k = -25. Let a(r) = -47*r - 1. Let n(w) = 47*w + 2. Let q(i) = -6*a(i) - 7*n(i). List the prime factors of q(t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Let x be 2\/u + -1 + 2. Suppose -67 - 51 = -x*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 5*d**2 - 3*d**2 - 10*d**2. Let u(i) = -11*i**2. Give u(j(q)).\nAnswer: -3971*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -7*o**2\/2 + 3*o - 15. Let j(m) = m + 2 - 2. Let p(w) = -6*j(w) - n(w). Determine p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*(b*b**(-2\/23))\/b)\/b)**28\/(b**(2\/15))**(-14))**(-20) assuming b is positive.\nAnswer: b**(-37856\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 176*r**3 + 2*r + 18?\nAnswer: 528*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9490, -9526, -9580, -9658, -9766, -9910, -10096, -10330?\n\"Answer: -a**3 - 3*a**2 - 20*a - 9466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130274?\nAnswer: 2, 53, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7290732 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4454226 (base 7) to base 11.\nAnswer: -34723a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -861690, -861691, -861692?\nAnswer: -861693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 5. Let n be f(-10). Let m(i) = -i. Determine m(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 82964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, y: 4, l: 6}. What is prob of sequence yz?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10694 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5 + 68*c**4 - 1734*c**3 + 19652*c**2 - 83521*c = 0. What is c?\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**2 - 1540*j - 5730. Let r(c) = -55*c**2 + 13857*c + 51570. Let n(h) = 19*o(h) + 2*r(h). Differentiate n(p) with respect to p.\nAnswer: 8*p - 1546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 78601718.633659.\nAnswer: 78601715.633659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 c when three letters picked without replacement from {k: 3, m: 1, c: 3, y: 1, n: 1, t: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 14 = 11*i. Let c = i + 13. Suppose -5*z - 3*x + 237 = 0, -4*x - 2 = 5*z - 238. Calculate the greatest common factor of c and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (974 - 122)*18\/(-108)\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**3\/3 + n + 9. Let s(x) = 1. Calculate -d(u) + 4*s(u).\nAnswer: u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhnfhahnnnnff. What is prob of picking 3 f and 1 a?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7448267 times -0.6\nAnswer: 4468960.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3174 - -3232. Let w = -3 - -5. Suppose w = 4*q - m. Which is smaller: q or 18?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/40 and -91\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Let d(o) = k - 255001*o**2 + 0 + 3*o - 3. Let t be d(2). What is t rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + r - 2 + 19 = 0, -3*r - 7 = 2*k. Let q be 0 - 1\/(-1 - 0). Let t be k + (-1 - 2) + q. Solve -8 - t = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 11:14 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.21, -2\/3, 2, 305\/6?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2703 + -2669. Solve -p*j + 37*j - 15 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/(-12) + 143\/(-3) + 0. Let c = z - -1063\/24. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 7:11 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35*7 - (2 + -4). Suppose -4*o - 1303 = -t. Let s = o - -455. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14083270 (base 10) to base 9.\nAnswer: -28444547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*q + 3 + 249*q + 0 + 115*q + 109*q.\nAnswer: -6*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 285, 1374, 3147, 5574, 8625?\n\"Answer: -5*h**3 + 372*h**2 + 8*h - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -178*j**4 + 16 + 0*j - 179*j**4 + 352*j**4 - 2*j + 3*j to s + a*j**4 + u*j + z*j**3 + r*j**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 43226.919 milliseconds?\nAnswer: 0.0005003115625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {n: 9, t: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/3)\/((-6)\/9). Let f be 0 - (-5 - 1)\/u. Suppose 4*l = -2*r + f*l + 14, 3*l = r - 17. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3347, -2\/17, 2, -0.1.\nAnswer: -3347, -2\/17, -0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.32, -0.1, 2\/7, -1\/21 in increasing order.\nAnswer: -0.1, -1\/21, 2\/7, 0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3.1. Let v = 59 + -55. Which is the nearest to k? (a) v (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1231203222 (base 4) to base 9.\nAnswer: -753506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 3*q - 180. Suppose -23*n + q = -22*n. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l**3 + 4*l**2 - 18*l - 5. Let k(q) = -18*q**3 + 7*q**2 - 36*q - 10. Determine 7*g(o) - 4*k(o).\nAnswer: 2*o**3 + 18*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 172*m**3\/3 - 648*m**2 - 383*m. Differentiate q(f) with respect to f.\nAnswer: 344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -2229 smaller than -2232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*3\/12 + (616147\/(-60630))\/89\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 86*t**3 + 40*t**2 - 175*t + 29. Is y(5) a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100.000287 - -100. Round c to five dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92\/3 - -31. Let j = 27 - 26.918. Which is greater: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 3*m + 9. Differentiate -j**3 + j**m - 2 + j**4 + 4 wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/29 and -73\/85316.\nAnswer: 2474164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*a - 11 - 16 = 0, -4*w = 2*a - 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1, -428, -3, 0 in decreasing order.\nAnswer: 0, -1, -3, -15, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -57, -255, -607, -1113, -1773, -2587?\nAnswer: -3555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + 3. Suppose 2*m = 5*a + 73, 0*m = m + 3*a - n. Calculate the remainder when 350 is divided by m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568135?\nAnswer: 5, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7507 + 552. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.6, -1\/3, -11.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {g: 4, b: 1, a: 3, c: 1, z: 3, r: 5}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -n + 1 + 2, 5*t = 249*n - 253*n - 30 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515414 = 1364*s + 2559*s - 70938 + 140051 for s.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110001100 + -10?\nAnswer: 10110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (199*t - 2 - 98*t - 98*t)*(-2 + 4 + 0)*(1 - 4 + 6).\nAnswer: 18*t - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*m - 5*m + 36, -5*m = -3*u - 4. Suppose 5*a = 8 + u. Let c(n) = 0*n + 2*n - a*n. Let y(z) = -z. Give y(c(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -909296620 divided by -181859324?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, -344, -809, -1264, -1709, -2144, -2569?\nAnswer: -2984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/56768 and -9\/20.\nAnswer: 283840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - sqrt(84)*-2)\/sqrt(3))\/(sqrt(4) - sqrt(48)\/sqrt(3)) + -2.\nAnswer: -3*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(2\/5)*o))**(-6\/7))**31*((o\/(o**(1\/4)*o))\/o)**(2\/25)\/(o*o\/((((o*o**1)\/o)\/o)\/o)*o)**(2\/23) assuming o is positive.\nAnswer: o**(16391\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 1\/2*v**2 - 5 - 6*v. What is i(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1836*u - 2. Let n(h) = 1835*h + 2. Let m(d) = -6*n(d) - 5*v(d). Let x(y) = 2745*y + 3. Let i(a) = -7*m(a) - 5*x(a). Is i(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -18 + 45. What is the biggest value in 0.04, 3, 1, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -465*t**3 + 251*t + 467*t**3 + 544*t + 4 as p + v*t + h*t**3 + b*t**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80990069?\nAnswer: 29, 67, 73, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.562546 kilometers in centimeters?\nAnswer: 756254.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29497*c**2 - 2*c + 394564 with respect to c.\nAnswer: -58994*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/10 and -67\/992.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25707*d + 2*d**3 + 51392*d - 25685*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1313.6 - 1328. What is a rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*(-3 + sqrt(1008)*1 + 5 + sqrt(1008)) + 4 + 5))**2.\nAnswer: 19440*sqrt(7) + 328617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1498 and 2732566.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4, -12*t - 468 = -3*s - 15*t. Calculate the remainder when s is divided by 45.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97039592 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -17*t + 21. Let k(a) = 28*a - 43. What is 3*k(c) + 5*s(c)?\nAnswer: -c - 24","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 3501331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - w + 0)*(-2 - 2 + 5) + (-w + w - 2*w)*(-5 + 1 + 5) + 40 + 21*w - 40 in the form m*w + r and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -6796*h + 6797*h + 2*c, 3*h + 93 = -3*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1))\/(46\/23).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(288)*-2 + 0)**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from baxaaabbabamaaaabaa. Give prob of picking 1 m and 2 b.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - -21. Suppose 5*u + s - 8 - g = 0, -2*u - 2*s = -16. Solve 8 = 4*c - u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1.2, 8, 2\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**3 + 12*l**2. Let j(z) = -2*z**3 + 11*z**2 + z. Let g(i) = -7*j(i) + 6*p(i). Let k(f) = 8*f - 51. Let t be k(6). Is 11 a factor of g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 = -4*q. Let a be 1\/(q\/8*-2). Let w = 75 - a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, 5, -6\/7, 2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4737.71038 to 0 dps.\nAnswer: -4738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 7*w - 3. Let m(l) = 4*l**2 - 20*l + 9. Let n(p) = 8*h(p) + 3*m(p). Let b(f) = -6*f**3 - 17*f**2 + 4*f + 5. Let i be b(-3). Calculate n(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*4\/(-92)*-2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 12 - 3. Let w = 14 + -10. Suppose w*s - 20 = -k + 3*k, -2*s + 2 = -5*k. Solve -2*n + s*n + y = -19, 5*y = -r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 2*t**2 + 4*t - 10. Let g be p(-5). Let f = g + -59. Let y be (-32)\/f*40\/(-32). Which is bigger: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 4:25 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12695376?\nAnswer: 2, 3, 264487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1485 and -92\/7532745.\nAnswer: 67794705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33492353 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g. Let d(r) = 5934652*r. Calculate d(k(i)).\nAnswer: 11869304*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 865 and 47748.\nAnswer: 238740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (141\/188)\/(1166\/(-424))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5130 and -167\/990?\nAnswer: 56430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3562756 and -0.495951.\nAnswer: -3562756.495951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 6*t + 2. Let s be r(3). Suppose 0*p + 3*d - 22 = -s*p, -10 = 2*p - 5*d. Suppose p*h - 61 - 59 = 0. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.39 + 1.71. Let x = m - -92.9. Let j = -94.953 + x. Round j to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 76 = 100. Suppose -4*k + y = -0*k, 4*a - 146 = -5*k. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkzz when four letters picked without replacement from {k: 1, z: 5, e: 3, h: 1, p: 4, t: 1}?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43984.1667 + -43986. Round s to 2 dps.\nAnswer: -1.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151\/144 - 96257\/144. Let s = 2032\/3 + g. Find the common denominator of 63\/8 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 17*o - 20*o - 18, -4*w = -5*o - 29. Solve -3*r + 0*r - 3*z + 3 = 0, -3*z = 2*r - w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*l - 47*l + 18*l**5 + (1 - 2*l**4 - 1)*(-3*l + 3*l - 2*l) + 5*l**5 - 4*l**5 + 2*l**5 + (0 + 2*l + 0)*(2 - 2 + l**4).\nAnswer: 27*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 25*b. Calculate the least common multiple of c(12) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2906055 divided by -9?\nAnswer: -322895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -6*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-28))\/((-230)\/(-460)*(-2)\/4).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/764102 and 13\/96858.\nAnswer: 6876918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -13. Suppose -4*m - 5*f + 33 = -0*f, -5*m = -h*f. Which is the second biggest value? (a) m (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 1. Let a be x(1). Suppose 2*n = a*n - 1. Let i = 19\/60 - 16\/15. Sort n, i, -0.3.\nAnswer: i, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191170?\nAnswer: 2, 5, 7, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -55 * 0.0326214\nAnswer: -1.794177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 572, 564, 556, 548?\n\"Answer: -8*y + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-5) - 52\/(-17). Suppose -3*z = 4*t + 19, -2*z - 7 = t - 4*t. Is m >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-407 + 407 - 71*a**2)*(-2*a + 0*a + a) + a**3 + a - a.\nAnswer: 72*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16969 is divided by 5642.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Let w(u) = -3 + 3*u + 3 - 6. What is w(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 84 + 8*w + 11*w - 20*w.\nAnswer: -w - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(450)*-4)\/((sqrt(18) + sqrt(2646)\/sqrt(3) + sqrt(18))\/sqrt(2))*3.\nAnswer: 40*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3649\/190 + 198\/(-1881) + 4\/8*10. Factor 32\/5 + 104\/5*f + 23\/2*f**3 + 19\/10*f**4 + h*f**2 + 1\/10*f**5.\nAnswer: (f + 1)**3*(f + 8)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, s: 6, y: 3, u: 2, j: 1, o: 2}. What is prob of sequence so?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 3*t - 80, -t - 20 = -l. Calculate the remainder when 98 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-99)\/(-162))\/11.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85147 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 24*r + 15. Determine z(24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 + 75 = 5*h - 2*t, h = t - 24. Let x be (25\/30)\/((-4)\/h). Calculate the greatest common factor of 10 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 o when three letters picked without replacement from {s: 3, o: 2, h: 3, b: 2, w: 1, j: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3007*y**3 - 5 + 5 - 3008*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.87 - 1.7. Let v = t - 4.47. Let i = 2.3 + v. Is -2 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/5))**(-6)\/((f\/((f*f**(-2\/17)*f*f)\/f))\/f**(-3\/4)))**(-23) assuming f is positive.\nAnswer: f**(27117\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + s + 5. Let a be b(0). Suppose 0 = 3*q + a*r - 37, -2*q - 3 = -3*r + 4. Solve 0 = -q*n + 5 - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.242820651 to 4 dps.\nAnswer: 0.2428","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 0 + 0*t + 0*t**3 + 29*t**2 + 6\/35*t**7 + 0*t**6 + 1\/12*t**5 + 0*t**4. What is the third derivative of x(q) wrt q?\nAnswer: 864*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 18*v - 53. Let r be z(28). Let l = r - 119. Suppose -5*x + 16 + 44 = 0. What is the greatest common divisor of x and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 75.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.278 + 15.822. Let d = y - 0.6. What is d rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 2*n**2 + 4*n - 4. Let s be y(3). Let i = -40 + 45. Put 8, i, s in increasing order.\nAnswer: s, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-29)*w\/w**(1\/4)*w*w\/(w\/(w**(-1\/22)*w))*w\/(w**18\/w)*w*w assuming w is positive.\nAnswer: w**(-1773\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3*r - 4*r + 3)*(573 + 277*r + 568 - 1582*r - 1141).\nAnswer: 3915*r**2 - 3915*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/120 and 42\/10*(-3 + (-28990)\/(-9630)).\nAnswer: 12840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (0 + 2 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -987548?\nAnswer: 987548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/68 and -79\/20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 423648, 847294, 1270940, 1694586?\nAnswer: 2118232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*p*z + 2*i*p - i*z**4 - 113*i - 12856*p*z**3 + 2*p*z - 38*p wrt z.\nAnswer: -12*i*z**2 - 77136*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-1170)\/135))\/(12\/4)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**7\/525 + k**6\/150 - k**4\/30 + k**3\/15 + 9*k**2\/2 - 8*k. Let u(p) be the first derivative of s(p). Factor u(d).\nAnswer: -2*(d - 1)**3*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + -5 + -4 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= -18\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21102083*v**2*y**2 - 278*v**2*y + v**2 - 2*y + 75 wrt y.\nAnswer: 42204166*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17323 by 5.\nAnswer: -17323\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - 7. Suppose 28 = 5*c - 7. Let l(t) = -2*t**2 - t + 3 + t. Let o(k) = c*l(k) + 3*v(k). Find r such that o(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101000 + -11010000111010010001?\nAnswer: -11010000110111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3941141.\nAnswer: 59, 67, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)\/(l*l\/(l**(-1)*l)))**(-12)\/((l\/(l\/(l**(2\/5)\/l*l)*l*l))**(14\/9)\/(l*l**(-1)*l)**(-1\/3)) assuming l is positive.\nAnswer: l**(1312\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 182*p + 368. Determine v(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25013553 (base 9) to base 6.\nAnswer: -1114103120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 2, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 + 4*l**2 - 245*l + 53. Let z be w(10). What is i in 22\/7*i**2 + 16\/7*i + 2\/7 - 40\/7*i**z = 0?\nAnswer: -1\/4, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -979, -1082, -1205, -1336, -1463, -1574?\nAnswer: -1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 12:44 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) -1.1 (c) 44\/5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -25*a. Let m(t) be the second derivative of -2*t**3\/3 - t + 234. Determine w(m(k)).\nAnswer: 100*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 216\/52 + -4 + 16\/(-104). Solve b = -23*j + 29*j - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 972, 956, 940?\n\"Answer: -16*k + 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -1)*3\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*y - 16*y - 12*y - 10*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 + 7.11. Let d = s - 6.7. Sort 3, 4, d in increasing order.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11114707 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = -5*k, -w = -4*k - 0*k - 5. Solve -5*q = w + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (83 - (32 - 28)) + -16?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 25 = 11*c + 137 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = -4*i. Sort i, -5, 2 in increasing order.\nAnswer: -5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1567434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q**(-2)*q)\/q)\/q)\/q)**(-15\/2)*q**(2\/3)\/q**(-3\/5))**(-4) assuming q is positive.\nAnswer: q**(-1876\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5414.461 litres to millilitres.\nAnswer: 5414461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*k - 2 = 3*k, 2*k - 3 = -3*v. Let u(g) = -4*g + 63. Let l be (20 - 4 - 5) + 4. Let s be u(l). Put v, 5, s in ascending order.\nAnswer: v, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-2))\/((-6)\/28). Let x = b - 2. Let t(m) = -m**2 + 8*m - 4. Does 5 divide t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Suppose 0*g - 4*g + 8 = w. Suppose b - 16 = -g. Calculate the least common multiple of 6 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41893795 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - 47) + (-4 + 2 - 10) + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*n + 63*n - 172840. List the prime factors of n.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103412 (base 5) to base 9\nAnswer: -4847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2961935?\nAnswer: 5, 592387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 9 = a + 3*d, 0 = -2*a - d + 13. Let s = 9 - a. Suppose s*u - 109 = 5*b, 3*b + 245 = 4*u + 2*b. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 365 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 3:19 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*t**5 - 130*t + 25*t**5 + 6*t wrt t.\nAnswer: 500*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/21)\/((-220)\/165)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1087 and -10.71?\nAnswer: 11641.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4397 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 + 92*k - 32. Calculate the lowest common multiple of v(-32) and 60.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -574 divided by -1011.\nAnswer: 574\/1011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**5\/60 - v**4\/6 + 2*v**3\/3 - v**2. Let z(r) = -r**3 + 3*r**2 - 3*r + 2. Let a be z(2). Let c = a + -6. What is o(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8665 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5861124 and 27?\nAnswer: 158250348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3392321743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - w**2 + 9 - 2 - 4*w**2 + w**2 + 5*w**2 + (-2*w + 4*w - w)*(w + 2*w - 2*w).\nAnswer: 2*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 212 - 324. Let s be (-13)\/12*(-16)\/q. Let y = s - 2\/21. Is -1 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3777168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*s - 1. Is -6 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 29 = -9. Let a(c) = -3*c - 22. Let n(d) = -d - 1. Let j(p) = -a(p) + 4*n(p). Let q be j(15). Solve s*u + 4*x + 26 = 0, -q*u - 16 = 2*x - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 6*y + 4. Let v be h(4). Let x = v + 8. What is the remainder when x is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((123440\/24)\/(-5))\/(2\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 903 - 3*s - 905 - 3*s**2. Let k(l) = 7*l**2 + 8*l + 5. Determine 2*k(x) + 5*q(x).\nAnswer: -x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.1. Let u = 0.098 + 0.049. Let i = -0.153 - u. What is the third biggest value in -6, i, l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 7 - 15)*(-9*v + 0*v + 2*v)*(0*v - 2*v + v).\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332798?\nAnswer: 2, 166399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 2, m: 2}. Give prob of picking 2 n and 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19234120428 - -19234120594.00000182. Let z = 164.07 - -1.93. Let u = g - z. Round u to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**3 + 4*b**2 - 8*b. Let o(n) = 73*n**3 + n + 17*n**2 - 37*n**2 - 72*n**3 + 19*n**2. Calculate 6*o(j) + w(j).\nAnswer: 2*j**3 - 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g. Let k be p(7). Let z(b) = -b**2 + 17*b + 23. Let x be z(19). Let q be 46\/k - x\/(-35). Is q < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 31703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/((-16)\/(-40))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -20*m - 25. Let g be b(-4). Suppose -7*q + g + 15 = 0. Let t(a) = -a**2 + 10*a + 3. Let k be t(10). Solve 0 = k*o - o - q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 573*k**2 - 315168*k + 24725412.\nAnswer: 3*(k - 134)**2*(k + 459)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143 + -33314?\nAnswer: -34012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -35. Suppose -2 = -4*n - m. Let c(r) = r**3 + 2*r**2 - 2*r. Determine c(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-432)\/32)\/((-15)\/10) - 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 11*f**2 - 13*f - 12. Let m be a(-12). Let l(t) be the third derivative of 1\/24*t**4 + t**2 + 0 + m*t + 0*t**3. Calculate l(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezv when three letters picked without replacement from {v: 2, z: 1, e: 1, r: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(-4\/23))*y*y*(y*y*y**(2\/11))\/y assuming y is positive.\nAnswer: y**(761\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -h - 19, 5*x - 17 = -4*h + 7. Suppose 2*z + x*a = 24, 3*z + 0*a + a = 11. Suppose -4*u - u = 2*l - 6, 4 = 3*l + 5*u. Sort l, 1, z.\nAnswer: l, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2904 = 11*j - 14146. Which is smaller: j or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u*v**3*z**2 + u*v**2 - u*v*z**3 + u*v + 8306*u*z**3 + 132*v**3*z - 2*v*z + 2 wrt z.\nAnswer: 6*u*v**3 - 6*u*v*z + 49836*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 5)*(0 + 0 + 2*m) + m + 3 - 3 + 256*m + 144*m - 60*m + 2 - 2 + 2*m to p + j*m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -245724040.\nAnswer: -245724042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 513*q**6 + 144*q**2 wrt q?\nAnswer: 61560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 2*l - 8. Let q(o) = -o**3 - 3*o**2 + 5*o + 16. Suppose -68*t - 74 + 97 = -113. Determine t*q(b) + 5*h(b).\nAnswer: -2*b**3 - b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6449166 is divided by 806143.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4 = y - 27, 0 = -y + 5*a - 17. Suppose 3*v = 6*v + y. Let q(i) = -20*i. What are the prime factors of q(v)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -64, 8138?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 319 = n - 432, 4*n + 923 = 5*d. Suppose -2*x - 166 = -4*o, 2*x + 21 = 5*o - d. What are the prime factors of (-19)\/(-2) + o\/28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10041 + -314?\nAnswer: 4222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 30*j + 2. Let z(v) = 0*v**2 - 2*v**2 + v**2 + 2*v**2. Calculate z(g(a)).\nAnswer: 900*a**2 + 120*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -10*n - 33. Give a(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5859119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-90)*9*2\/154?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 53\/3 - (-2)\/(-3). Let h be 4\/(-8)*(73\/(-730))\/(2\/(-20)). Which is the closest to h? (a) 0.3 (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 less than 0.16639?\nAnswer: 36.16639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 66\/35 and 45\/315476.\nAnswer: 1577380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 274101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**3 - 5*g**3 + g**5 + (-g**2 - 2*g**2 - 5*g**2)*(2*g**3 + 2*g**3 - 3*g**3).\nAnswer: -7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 d when three letters picked without replacement from pdpadaddiddddpp?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 485 (b) -3 (c) -0.4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/2)\/(-2) + -3. Let p = -333 + 332.6. What is the closest to 1 in -1, p, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**2\/2 - 6*u - 1. Let x be (16\/10)\/((-1)\/(-5)). Let s be l(x). What is the greatest common factor of 8 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {z: 2, r: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 60 = 3*d, -8434*z + 5*d + 67 = -8433*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10885680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 34 = 2*q. Suppose 4*p - 64 = -3*h, 5*h = -4*p + 62 + q. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -300, -315, -336?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139394.0005 + 139437. Let o = -43 + t. What is o rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 9*p**2 - 10*p. Let n be o(-10). Suppose n = -5*c + 2*c + 6. Suppose -3*b + 15 + 5 = c*v, 4*v + 20 = 0. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -12, -4.232, -2\/7?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345588 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 2:44 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-360)\/35 - 0)*-7. Let t(c) = -c**3 + 5*c**2 + 2*c - 6. Let i be t(5). Let g = 8 + i. What is the greatest common factor of g and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123163\/675 or 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27099260613 - 891.\nAnswer: -27099261504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -28*i - 14. Let h(n) = -78*n - 41. Let k(q) = 3*h(q) - 8*u(q). Let w be k(5). Which is the third biggest value? (a) w (b) -1 (c) 2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 24*f - 70*f - 211 = -40*f, 0*f = 2*w + 2*f + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -15 + 3. Let u be ((-2)\/(-18))\/((-2)\/r). What is the nearest to u in -2\/15, 2\/7, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 657 - -a948?\nAnswer: b1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12049858?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 0.2, -3\/8, 6, 2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.516\nAnswer: 0.1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -1 + 5 + 0. Let m = x - 0. Find z such that -16*z + 3*z**2 - 5*z**2 + 4*z**3 - 16 + m*z**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1.31 (c) -2\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 4. Suppose 9 = 5*n + 5*i - 6, n - 4*i - 23 = 0. Let q(b) = -9*b - 13. Calculate n*w(l) + 2*q(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/84491525?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442 = 41*h - 75*h. Let w = 11 - 7. Sort w, h, -1, 2 in descending order.\nAnswer: w, 2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10352 - 5?\nAnswer: 10343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*z**2 - 1055*z**2 + 477*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 8*c + 2. Let m be 115\/(25 - 48) - (0 + 4). Let y(g) = 5*g**2 + 32*g - 9. Determine m*d(r) - 2*y(r).\nAnswer: -r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unn when three letters picked without replacement from {n: 6, u: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -18664*o - 93518. Give h(-5).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 683003 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 6*n**2 - 3*n - 1. Let p(t) = t**2 + 5*t + 5. Let r be p(-5). What are the prime factors of j(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -5 + (2 + 4 - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 100. Suppose 5 = -2*h + q. What is the remainder when h is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 g when three letters picked without replacement from {u: 5, g: 1, i: 1, m: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*n - 5*s, -12 = 2*n - 36698*s + 36702*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2583 - 3671 - 20*u - 5473.\nAnswer: -20*u - 6561","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-2)*s**6*s*(s**(1\/6))**(-2\/21) assuming s is positive.\nAnswer: s**(629\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 6 + 7)*(-294*a - 24453 + 24453).\nAnswer: -2940*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b. Let o(r) = 50*r + 865. Let m(g) = -3*j(g) + o(g). Differentiate m(v) with respect to v.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 178\/63 + -7639\/630. Find the common denominator of t and ((-5)\/160)\/(-2*(-2)\/72).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/1*3\/2. Suppose 4*h + 34 = 3*d + 91, -5*h + g = 3*d. Let s = 54 - 54. Solve s = l - 4*l - h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 0.22 (c) -6 (d) 2 (e) 127\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/499259 + -577642531\/32951094. Let i = 37\/11 + r. What is the common denominator of 1 + ((-615)\/12)\/5 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -v - 21. Round v to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 171 + 5 = 0. Let d = q - -246. What is the first derivative of o - 3*o**3 - o + 77 - d wrt o?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58397732*t**4 + 6643*t**2 - 2*t + 70?\nAnswer: 1401545568*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-179238)\/18 + -7)\/((-6)\/9). Suppose 804 = -p + j. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42\/4*12\/9 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -323*j*q*z**2 - 3*j*z - 70*q**3*z**2 + 650*q**3 - q**2*z wrt z?\nAnswer: -646*j*q - 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2097439 and 1886.\nAnswer: 171989998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786937.\nAnswer: 786937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467428.\nAnswer: 2, 13, 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 5:46 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1403*g**3 - 5*g**2 - 5. Let f(z) = 703*z**3 + 3*z**2 + 3. Give -3*d(j) - 5*f(j).\nAnswer: 694*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (0 - (1 - 1)). Let y be x\/(-4)*(-38 + 0). Let z be (-2 - 0 - 0 - -4)*2. Solve y = 5*v - z*c, 3*c = 4*v + 5*c - 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 320925181?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 12696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 12:08 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 - (-6)\/(-3) - -205.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 470*i**3 + 8*i**2 - 1629*i + 4?\nAnswer: 2820*i + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/16 + 1\/4. Suppose 0*z + 2*z - 26 = b. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**3 - a. Let s(p) = 10*p. Let o(f) = -f**2 + 25*f. Let j(g) = 4*o(g) - 10*s(g). Calculate z(j(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 5*i - 9. Let x be k(-7). Suppose 25 - 75 = -x*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 p, and 1 o when four letters picked without replacement from ooyyypopsf.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 5*q + 316. Is b(0) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20328, 20327, 20326?\nAnswer: 20325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -68*t**2 - 9*t**2 - t**2 + 25*t**2 + 99*t + (t + 3*t - 3*t)*(-1 + 1 - t) - 1 + 2*t**2 + 1.\nAnswer: -52*t**2 + 99*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + h - 84 = 0. Suppose 4 = 4*y - 12. Solve -t + 4*g = 4*t - 15, y*t + 2*g + h = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -37*a**5\/20 - 83*a**4\/4 - a**3\/6 + 251*a + 1. Find the third derivative of u(o) wrt o.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7935 - 7939. What is the smallest value in w, -4\/3, 174?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.26 - 1.54. Let k = a - -1.80046. Round k to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-135)\/(-81) - (-14)\/6. Suppose -a + 3*a - 39 = 5*o, -o - 105 = -j*a. Solve -9*c = -0*c - a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*2)\/sqrt(6))\/(sqrt(90) + (sqrt(90) - (sqrt(90) - (sqrt(90) - (sqrt(90) - (sqrt(90) + (-4*sqrt(90) - sqrt(90)) + sqrt(90))))))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 8942 - 23108 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/36 + (-420)\/(-18). Sort 2, j, 5, 3 in ascending order.\nAnswer: 2, 3, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.913225 to two dps.\nAnswer: -18.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - c**2 - 2*c + 8. Calculate w(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000816279 to six dps.\nAnswer: -0.000816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 8 = -5*c + 29, -21*f + 11*f + 102*f + 5*c + 57 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 69. Let f = 53 - q. What is the smallest common multiple of 12 and 495\/f + (-6)\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c. Let q(z) be the second derivative of z**3\/6 - 5*z. Determine d(q(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 61940.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*j, 25 = 2*v + 5*j - 8*j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 59*g + 177. Let s be l(-3). Solve s = 4*w + 4*y + 8, 2 = 4*w - y + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*h + 24506 - 4607. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -400, 4265?\nAnswer: -400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - (3 - -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 9:48 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*r - 5*u, -3*u = -2*r + u + 28. Let h(s) = 5 - r*s**2 + 8*s**2 - 3*s - 8*s**3 - 7. List the prime factors of h(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42016647 and 1506?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2. Let g(x) be the third derivative of 13*x**4\/12 + 33*x**2. Give g(h(u)).\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - ((33 - 43) + 95).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22880 and 60.\nAnswer: 68640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**3 + 132*w**2 + 194 with respect to w.\nAnswer: -6*w**2 + 264*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-14) - (9412\/(-546) + (3 - -11) + 2)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 - 4*d + 3. Let j be n(1). Let f be (0 + -4)\/(-2 - 8\/(-12)). Suppose 2 = x + f. Put -9, x, j in decreasing order.\nAnswer: j, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 18*k + 35. Give z(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -25*p**2 - 2527*p - 197. Give s(-101).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q**3 - 128*q**2 - 140*q = 0.\nAnswer: -5, -7\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 66\/(-6)*-1*3. What is the greatest common factor of q and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13185, 13316, 13449, 13584, 13721, 13860, 14001?\n\"Answer: n**2 + 128*n + 13056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {g: 1, d: 5, l: 1, f: 4, m: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 304*w**5 - 69*w**3 + 1289*w**2?\nAnswer: 18240*w**2 - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9641253*c = -9641272*c + 931 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 795, 1581, 2367, 3153?\nAnswer: 3939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (239474\/(-2))\/((-27)\/297). Suppose -663102 = -11*g + z. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 14. What is the third biggest value in 4, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26967 (base 14) to base 11.\nAnswer: 65541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11242710 to the nearest one hundred thousand.\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13812 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4276533 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -98947*c*q + 1253*c - 17 wrt q?\nAnswer: -98947*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9740175*m**4 + 11250096*m**2 wrt m.\nAnswer: -233764200*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2 = 4*m, 0 = 4*z - 5*m + 6 + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 - l + 4. Let y be r(0). What is the second derivative of -20*v**y - 5*v**5 - 13*v**5 - 43*v**4 + 22*v + 16*v**5 + 1 wrt v?\nAnswer: -40*v**3 - 756*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 - 18*h + 124. Let y be z(-10). Solve y*o + 31*i - 27*i = 16, -5*i = o - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - ((-6307)\/(-42))\/(-17) and -75\/98.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j + 4*y = 1176, 2*y + 1158 = 4*j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4 + 12. Let r be u + 5\/20*-106. Which is bigger: r or -26?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 485502\/7 - 3070800262\/44275. Calculate the common denominator of x and -19\/99.\nAnswer: 56925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**2 + 54*m + 408. Give w(15).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 23 = -5*v, 6 = 5*v + 5*f + 1. Suppose -v*m = 5*n - 8*m + 8, -5*m = -2*n - 10. Solve 5*r + q = 16, 3*q - 4 = -4*r - n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -0.08?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -253 + 414. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 10:18 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -423874 minus 4404?\nAnswer: -428278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.553 * -2\nAnswer: -1.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.35 in 0, -0.2, 170?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 127*z - 107*z + 13120. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from upubipiisissii?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -0.4, 2\/7, 14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -60 (b) 2 (c) 203 (d) -3.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 343, 403, 463, 523?\n\"Answer: 60*s + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11102 and 70882.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187\/4 - 95\/2. Which is greater: x or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkddodmffkoddoy. What is prob of picking 2 o and 1 k?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -k - 16. What is the remainder when k is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + 10 + 0) - (-14 - (10 + -68))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75579 less than -1.128?\nAnswer: -75580.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -670 divided by 3\nAnswer: -670\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o*o*o**(-1)*o)\/(o**3\/o*o)**(-6\/5) assuming o is positive.\nAnswer: o**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/25, 3 in decreasing order.\nAnswer: 3, 0.1, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545385.\nAnswer: 3, 5, 103, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -11100100011110?\nAnswer: 11100100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49062.2 and -1.083.\nAnswer: -53134.3626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -84*s**3 - 8*s**2 + 4*s + 14. Let n be x(-6). Let w = -33146 + n. What is w rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a + 2*a**2 - 3*a**2 + 4*a - 3*a + 2. Let q be n(-8). Find the third derivative of 4*g**5 + g**2 - 2*g**2 + q*g**2 wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -8.7?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 174*q**2 + 8*q - 3. Calculate i(2).\nAnswer: 709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 16*x**5 - 40*x**4 + 40*x**3 + 24*x + 40. Let t(a) = a**4 - a**3 - a - 1. Let d(q) = g(q) + 40*t(q). What is the second derivative of d(m) wrt m?\nAnswer: 320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5 + 70. Let o be (-3)\/19*(-10)\/r. Let p = 1 - 2. Sort 3, p, o in decreasing order.\nAnswer: 3, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28687, -57205, -85387, -113065, -140071?\nAnswer: -166237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bd8f5 (base 16) in base 10?\nAnswer: 1825013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/12*2)\/((-25)\/(-75)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -20*h**5 + 2124*h**4 + 3916*h**3 - 2988*h**2 - 3896*h + 864 = 0?\nAnswer: -2, -1, 1\/5, 1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (-6 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -72, -28, 16, 60, 104?\n\"Answer: 44*q - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 - 8*u**2 - 6*u + 17. Let k(w) = 3*w**3 - 12*w**2 - 9*w + 25. Let s(b) = -5*k(b) + 7*m(b). Give s(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 291*k**2 - 230*k + 4 - 1.\nAnswer: 291*k**2 - 230*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 129. Determine j(39).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.3, 67 in ascending order.\nAnswer: -4, 0.3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5939128 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21370 - 10688 - 10682 + g**2 - 5*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiki when four letters picked without replacement from kikkikkikikkikii?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjt when three letters picked without replacement from jjjjjjtjjjjtj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43728.\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -1754333360.92301.\nAnswer: -1754333361.22301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 100431 < 100922?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 2*t**3 - 44*t - 3*t**3 + 58*t.\nAnswer: 3*t**3 + 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -15 - (-6 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 7. Suppose 33 = -27*r + 6. Let o be -11 + 32\/(-8) + r + 5. Give j(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*1*(sqrt(180) + (sqrt(180) + 2)*2 + sqrt(180) + sqrt(180)*-3 + -3)*4*3)**2.\nAnswer: 27648*sqrt(5) + 417024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -33 - (-68)\/24?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98\/15 - 304\/45. Put 61, -5, b, -4\/7 in descending order.\nAnswer: 61, b, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 59 (b) 150\/9791 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 85409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5059?\nAnswer: 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.88 - 0.21. What is m rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeraerrrararar. What is prob of picking 2 e and 1 r?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*y**3 + 483885*y**2 + 1451697*y + 967806 = 0. Calculate y.\nAnswer: -2, -1, 161301\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 11:36 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*i + 98 = -58*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/(-5) + 2\/10. Let s(m) = -5*m**2 - 4*m - 6. Let f(h) = h**2 + 1. Let q(y) = r*f(y) + s(y). Calculate q(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 13 + 12 + 2 + 265*b - 4 in the form g + y*b and give y.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20283.7 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13001 + 4*p - 13001 - p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-10)\/6)\/(1055\/(-422))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 143168647 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3)\/(2\/(-15)). Let t(l) = -l - 1. Let s(z) = -5*z - 8. Let q(v) = -s(v) + 4*t(v). Let y(o) = 1. Give j*y(b) - q(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 40*n**2. Let p(h) = 7*h**2. Give p(z(u)).\nAnswer: 11200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z + 21*z = 180 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 12. Let v = -4 - r. Suppose 2*k = v*u + 79 - 263, 0 = 4*u - 5*k - 137. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*z + 3*z - z)*(-4*z**3 + 0*z**3 + 2*z**3) + 10 - 10 + 5*z**4 + 0*z**4 + z**4 + z**4)*(z - 2 + 2).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92640 = -6221*d + 6241*d. List the prime factors of d.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2986157 and -2?\nAnswer: -0.5972314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 850 = 5*h, -3*h + 232 + 273 = -2*p. Suppose -3*o + 9*l - 7*l = -479, -o + 2*l = -h. Does 35 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o + 19. Let q = 35 - 45. Let m be u(q). Let p be -6 + (17 + m)\/4. Which is greater: -3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*g - 3 = -4*q, -6 = -2*q - 2*g. Suppose 9 = 2*p + q. Put -3, 1, 4, p in descending order.\nAnswer: 4, p, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 42. Let c = -7 - -11. Let b(d) = h + c*d - d - 2. Give b(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 223. Let t = 114 + j. List the prime factors of t.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 = 8*s - 19*s. Let c = 28 - s. Let g = 7\/60 - -2\/15. What is the nearest to -0.12 in c, g, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -648, -189, 574, 1641?\n\"Answer: 152*g**2 + 3*g - 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -8 - 33) + (-15 - -15) + 11.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1748 plus -4040509.7?\nAnswer: -4040509.5252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.92 (b) 27 (c) 2.2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 93*r + 833. Let m be h(10). Factor -3\/2*z**2 + 3\/2*z**4 + 3\/4*z**5 - 3\/4*z + 0*z**m + 0.\nAnswer: 3*z*(z - 1)*(z + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:36 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.67378509 + 50.683.\nAnswer: 50.00921491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*a - 947*a + 549*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16204 - -3824155\/236. Let k = 10042\/9 + -201821\/180. Calculate the common denominator of j and k.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*s - 2*j, -j - 4*j = -4*s + 37. Let n be (-3 + 9)*2\/s. Solve -c - 4 = 3*g + 6, -n*c + 2*g + 30 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32048763 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -10*v + 428. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xanjajanyaaanaaxnaj. Give prob of sequence nxn.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 388 + -386. Let w be (-3)\/(-3) + 4 + -1. Which is bigger: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799114 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 24 - 101 = 0. Solve k - 2*h = 7, -2*k - k = -h - l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -139\/197?\nAnswer: -139\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1214106 and 10608?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*w - 4*b + b, 6 = 3*w - 4*b. Let r(x) be the second derivative of -2*x**5\/5 - x**4\/3 - 2*x**3\/3 - 2*x**2 + 14*x. What is the tens digit of r(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y - 99. Let j be q(20). Solve 18*v = j*v - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 854367449 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.665782 litres?\nAnswer: 7665.782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278457?\nAnswer: 79, 16183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7223, -7224, -7225, -7226, -7227?\nAnswer: -7228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 times -0.06?\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, p: 2, m: 2, i: 1, k: 2, x: 1}. What is prob of sequence dxpk?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 3*q + 2*q**3 + (4*q**2 + 0*q**2 - 2*q**2)*(5361*q - 44133 + 44133).\nAnswer: 10724*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342 and 488832?\nAnswer: 1466496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 3*d**2 + 5*d + 16. What is h(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -117900 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 + -141. Let q = j + 57. Sort q, 0.3, -1\/4.\nAnswer: -1\/4, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 73.6437363886.\nAnswer: 71.6437363886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -4.136.\nAnswer: 8.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34 + 21*m + 35 - 27*m + 2*m**2 + (2 + 1 - 1)*(-3*m + 2*m**2 + 3*m).\nAnswer: 6*m**2 - 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.105 - 0.15. Let z = -0.0450021 - t. Round z to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663746449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 877921365 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*f - 31, 4*f - 30 = -8*n + 3*n. Suppose 61 = 4*c - l, c = f*c - 4*l - 76. Let y = -19 - -28. Calculate the remainder when c is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + w = -s - 13, s - 5 = 3*w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -137*x + 1511. Let p be c(11). Let d(t) = 2*t + 11. Let f(o) = -2*o - 11. Calculate p*d(a) + 3*f(a).\nAnswer: 2*a + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 462 - 269. Let i = k - 345. Let z = i - -152.79. Round z to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -191?\nAnswer: 18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 5 - 5*l - l**2 - 5*l. Let m(z) = -z**2 - 5*z - 2. Let w(g) = -2*f(g) + 5*m(g). Give w(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*21\/75 + -3 + (-6)\/((-150)\/1745)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/15, 0.166, -1, -294?\nAnswer: 0.166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -35.641 * -3\nAnswer: 106.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 235554 and 33798.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*v + v - 5*v)*(2 + 1 - 1) + 19*v - 140*v - 138*v)*(-18 + 43 - 20).\nAnswer: -1305*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 - -178. Suppose 4*l = -4*c + y, 38 = 3*c + l - 38. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 924 = -n. Let v be (20\/50)\/(2\/(-40)). Let k be 90\/4 + 4\/v - 0. Calculate the greatest common divisor of n and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10516*p**3 - 10518*p**3 + 3 + 3*p - 24*p as r*p**3 + c*p**2 + v*p + z and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19448 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91246, -182484, -273722?\nAnswer: -364960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 445 divide 5079675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 (base 6) in base 5?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/49)\/f**(-15))**(1\/4))**(2\/39) assuming f is positive.\nAnswer: f**(737\/3822)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -54. Suppose -370 = -z*w + 86. What is the remainder when w is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036261355 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -65 (b) -2 (c) 4493 (d) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1299602*j - 1936884?\nAnswer: -1299602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2 - -17)*4. Let p be (-22)\/2629 - (-1 + 1). Let i = p + 504\/3107. Which is the second biggest value? (a) i (b) -0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3536 = -32*l - 944. Suppose r = 1, 5*r = -4*v + v + 86. Calculate the highest common factor of v and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 63*l + 2. Let h(g) = 3*g**2 + 5*g + 9. Let d be h(-3). Let z be y(d). What is the nearest to z in 0.02, -5, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4604 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 2*s**2 + 0*s**2)*(-1256*s**2 - 239*s**2 - 482*s**2)*(s - 5*s + 2*s)*(0 - 1 + 0).\nAnswer: 3954*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*(-12)\/360*5\/(-12).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.28, -3, -4\/9 in decreasing order.\nAnswer: 2.28, -4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*y - 1070000. Round y to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*-1*sqrt(891) - (5 + (sqrt(891)*-2)**2)) + 2 + -4.\nAnswer: -3575 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1. Let u(o) = 2*o - 1. Let c(q) = -u(q) - 5*x(q). Let r(n) = -5*n - 11. Let a(j) = 8*c(j) - 3*r(j). Suppose 0 = -5*s + 23 + 7. Give a(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(2 + 2)*5. Let d be (-4)\/(-10) + 2\/f. Is d != 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - (4 - (5 - -3))) + -74 + 85.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 2*u**2 - 15*u**3 - 16 + 11708*u - 11705*u in the form n*u + f*u**3 + k + m*u**2 and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 + 2*k. Let d be y(-2). Suppose -5*n + 84 + 89 = -3*r, -n - 3*r + 31 = d. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 4 = 35 + 301. Let t(x) = 3*x - 53. Determine t(g).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14196028 to the nearest integer?\nAnswer: 3768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139724085 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129 and 6063.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*f**4 - 1858*f**3 + 2594*f**2 - 1102*f - 6 = 0 for f.\nAnswer: -1\/186, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -19 + (5 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1958 = -3*y + r - 1962, -r + 18 = 4*y. Let o be (-2)\/(-4) - 10\/(-4). Suppose -4*w + 8 + 8 = 0. Solve w*q - q = y*j + 2, -o*j = 2*q + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5246, 7204, 9162?\n\"Answer: 1958*g + 3288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208955 and 10580?\nAnswer: 835820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -930956*p - 930921*p + 1861911*p.\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 3803 = 357. What is the greatest common factor of i and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*k + 10, -4*x = 3*k - 5*k - 12. Let j(f) = 2*f**3 - 8*f**2 + f - 1. Let r be j(x). Solve r*q + 21 = -2*v - v, 26 = -4*q - 3*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56951513 to the power of 1\/2, to the nearest integer?\nAnswer: 7547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66726, 133446, 200166, 266886?\nAnswer: 333606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**7\/1008 + i**6\/180 + 5*i**5\/6 - 21*i**2 + i. Let o(y) be the third derivative of a(y). Let p(v) = -v. What is p(o(j))?\nAnswer: 5*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -433024?\nAnswer: 433026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 12*k**3 + 2 - 9*k**2 + 4*k + 1 + 29*k**2. Let l(i) = 11*i**3 + 19*i**2 + 4*i + 2. Let b(r) = 6*h(r) - 7*l(r). Suppose b(m) = 0. Calculate m.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1728 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*i**3 + 4*i**4 - 2*i**2 - 1 + 25*i**3 + 4*i + i - 46*i**3 - 8*i to the form y*i**2 + b*i**3 + u*i**4 + w*i + v and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 12 = -64 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-8)*-4*1528\/(-20). Let d = w + 397. Solve -18*o = -13*o - d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753167444 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-1 - (-10)\/(-4)). Let k = -44.7 + 47. Let q = 2 - k. Sort q, t, -2 in ascending order.\nAnswer: -2, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 39. Suppose -20*y + 22*y - 44 = m. What is the least common multiple of y and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3286, -1, 19, -4, 1\/21, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + -115?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*p + 381, 5*l + 2*p - 642 = -0*l. Suppose -t + l = 3*k, 2*t - 45 = -k + 4*t. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 i, and 1 z when four letters picked without replacement from izziiiiziiiiilizzig?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, b: 5, i: 1, e: 1, l: 1}. Give prob of sequence ecl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (695*h**2 - 681*h**2 - 34*h**3 + 7*h**3)*(-h + 5*h + h) + h**2 - 2*h**2 - 5*h**4 + h**4 as z*h**2 + m*h + s*h**3 + j + d*h**4 and give s.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*d + 43 - 198, -d + 57 = 2*l. Let p be l + -16 - 2\/1. Calculate the greatest common factor of p and 160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 2. Which is the second biggest value? (a) r (b) 0.3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a8 + -5?\nAnswer: 2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w - 5*w + 2*w + 2*w - 2*w - 2*w + (-2 + 2 - 2)*(-9*w - 3*w - 12*w) as i + t*w and give t.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -g + 15. Calculate the highest common factor of 80 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 3. What is the second derivative of d*b**5 - 3*b + 10*b**4 - 10*b**4 wrt b?\nAnswer: 160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 less than 6.4?\nAnswer: -133.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/(5\/1050). Let s = -166 + u. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2788)\/59245)\/((-1)\/17)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 729*x**3 - 2*x**2 - 6*x - 991. Let h(t) = 3646*t**3 - 12*t**2 - 33*t - 4955. Let a(p) = 11*f(p) - 2*h(p). What is the third derivative of a(n) wrt n?\nAnswer: 4362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.32 - -0.1. Let k = 0.7 - 0.72. Let v = k - f. What is the second smallest value in 0, -2\/9, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4179008 to the power of 1\/2, to the nearest integer?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-366*a - a - 57*a)*(2*a**2 - 2*a**2 - a**2) in the form f + j*a**3 + q*a**2 + z*a and give j.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1820232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*p = 4096 + 783 + 6419 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r + 12*r - 1465 - r**2 + 1463. Let u(x) = -x**2 + 6*x - 2. Determine 6*i(h) - 7*u(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59772 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10093 - 97104*f + 9553*f**2 + 97104*f wrt f.\nAnswer: 19106*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2441 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -y - 0*z - 3*z, 2*y = -5*z - 11. Solve -n = 4*x + 23, y*n - 31 = 4*n + 5*x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.5, -209, 32?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 819?\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0065 <= -22\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 7. Let v be r(4). Let s = 7 + 3. Suppose -s - 50 = -v*g. What is the remainder when 39 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 5\/2, 55, 11?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6*x - 1794 = 2*x, 3*x + 3555 = 4*h. Suppose -w - 2*w = -h. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 154500*v**3 + 45567 wrt v?\nAnswer: 463500*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/o**(1\/3)))*o)\/o)**(-4\/5)*o\/o**0*((o\/o**(-2\/5))\/o)\/o assuming o is positive.\nAnswer: o**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0111725341 rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*2\/18 - 68\/(-1071). What is the closest to l in -2\/13, 2\/11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 4*u - 40, 30*u + 7 = -3*r + 29*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6150*n**3 - 24061*n**3 + 49501*n**3 + 56771*n**3.\nAnswer: 76061*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -22*l**2 + 132 + 97 - 201 + l**3 + 29*l. List the prime factors of y(21).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 25615.16ml?\nAnswer: 25.61516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 - -7) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -50 + 66 - (1 + -2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 106*w + 940. What is p(-7)?\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2809025007.\nAnswer: 3, 139, 6736271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (203 - 982 + 221)*(2*q**4 - 5*q**4 + q**4).\nAnswer: 1116*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*0.6131.\nAnswer: 10.4227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7043 is divided by 7032.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 54. Does 10 divide u(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.02. Let c = v - 2.92. Let z = 3.56 + c. Round z to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62702?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111454 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 7*t**2 - 2*t + 10. Let u be p(7). Let z(a) = -a + 5. Give z(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -20*h**2 + 26*h. Let d(k) = -20*k**2 + 27*k. Let i(t) = 3*d(t) - 4*p(t). What is the second derivative of i(n) wrt n?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 95.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s. Suppose -4*y - a = a - 2, y - 13 = 2*a. Suppose s*t = -y*t - 3. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-17))\/b)**(-31))**(19\/6) assuming b is positive.\nAnswer: b**(10013\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -6, -2, 4, 8\/7, -0.0331 in decreasing order.\nAnswer: 4, 8\/7, 2\/5, -0.0331, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 52 = -10*n, -5*o + n = -6*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 6 = 5*g, -1728 = 5*v + 4*g. Let k be 4\/(-10) + v\/30. Let i = -15 - k. Which is the second smallest value? (a) 0.5 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**7\/70 + a**6\/40 + 3*a**5\/20 - 5*a**4\/8 + a**3 - 49*a**2 + 166. Let p(n) be the second derivative of g(n). Factor p(h).\nAnswer: -3*(h - 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 347 = 1522. What are the prime factors of v?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**2 - 132*b + 7. Let j(f) = 6*f**2 + 76*f + 182. Let x be j(-10). Calculate g(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3206\/362441 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 2*p**5\/15 + 35*p**2. Let w(x) = -9*x + 7. Let k(a) = 4*a - 3. Let n(u) = 7*k(u) + 3*w(u). Give n(l(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 20*z - 3*t + 52 = 0, -z + 12 = t. Suppose b = -l + 765, 7*b - z = 5*b. List the prime factors of l.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*o = 2*o - 0*o + 10, -52*o = -3*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -53300 to the nearest one thousand.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1)*(-16 + 0). Let m = r - 63\/4. Let q = -0.7 + 1.2. Sort 5, q, m in increasing order.\nAnswer: m, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75841 or -75844?\nAnswer: -75841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-2314.72508\nAnswer: -231.472508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3779?\nAnswer: 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 250, 306, 342, 352, 330, 270?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111 (base 2) in base 9?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 7*u**2 - 5*u - 13. What is the units digit of z(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -12*c**7\/7 - 2*c**3 - 17. Find the third derivative of x(j) wrt j.\nAnswer: -1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*w + z + 27, 0 = 3*w - 3*z - 27. Let t(i) = 24*i + 7. Is t(w) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*b + 126. Let n be (6 + b)*6\/(-15). Suppose c + 2*c = n. Is c < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 11*j**2 + 17. Let b be p(-11). Suppose -2*z = -3*n + b, 0 = 2*z + 1 + 7. Let w be 4 + (n + -3)\/1. Solve 1 - 5 = w*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -69\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29765201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*y)*(-3 + 93*y**2 + 119*y**2 - 73*y**2) as a*y + l + x*y**2 + q*y**3 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5839*l**2 + 1 - 5596*l**2 + 1 + 11197*l**2.\nAnswer: -238*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v + 36. Calculate i(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 4*m + 234 = 0. Let k be (38\/(-76))\/((-1)\/m). Solve -10*s + k = -13*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 0, 2 in ascending order.\nAnswer: -64, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/5*(3 + (-4796)\/1792) and 119\/12.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -13. Suppose 0*c - y = -3*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 - 8433 + 8433.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:33 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-944 + 868)*(-12)\/(-38)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-12) + 20615\/(-17100)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(((-24)\/3)\/(-8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2372 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*l - 18, -l - 4*f = -0*f. Suppose 0 = -5*a + 5*k + 315, 3*k - 7 = -l. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 50 = -i + 5*i, 4*i = 0. Suppose 0 = -n + 6*n - k. Suppose 119 = n*d + l - 14, 3*d - 84 = -2*l. What is the remainder when 50 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101030111 + -1?\nAnswer: -101030112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/7324 + -36161\/9155. Find the common denominator of 25\/156 and h.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = r. Suppose 0*l - 12 = -r*l. Suppose p - 4*h - 15 = 0, p - l = h - 0*h. What is the remainder when 10 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3, 13, 0.1, 0.5, 753?\nAnswer: 753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:59 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1693066751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) -14.86 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -40*m + 11. Let j(p) = -196*p + 58. Determine -3*j(z) + 16*x(z).\nAnswer: -52*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 6)*(1 + 0). Suppose -2*v + q = -4*i, v - 3*i = -5*i - 3. Let p(u) = u + 2. Let o(a) = -a - 3 + 3. Calculate v*p(b) - 2*o(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4 - 312873757*s**3 + 10876665243727503*s**2 - 126037889247025541021247*s - 84025264332090561707502 = 0. Calculate s.\nAnswer: -2\/3, 34763751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 87608057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, r: 7, w: 6}. Give prob of sequence arrr.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1183892238 and 7.\nAnswer: 6.8816107762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 594142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -37190.29686 to the nearest ten.\nAnswer: -37190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 8*i**3\/3 - 2. Let g(o) be the third derivative of o**5\/60 + 3*o**2 + 8. Give h(g(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7619778810?\nAnswer: 2, 3, 5, 7, 19, 30313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + -3 + (33 - 22)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 + 10 - (1 - -1). Which is smaller: v or -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**3\/3 - 11*m**2\/2 - 4*m - 693. Let w(q) = 2*q + 0*q - 3*q + 1. Let x(f) = -g(f) + 3*w(f). Determine j so that x(j) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9540 and 1020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 20 = 4*a - 0*a, -w + 11 = -3*a. Suppose r - w = -r. Suppose r*v - 2 = 2*v. Which is greater: -1\/10 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + -1)\/(4 - 3). Suppose 3*s + 5 = i*v - 13, 0 = s + 1. Suppose -4 = -v*n + 2*n. Solve -3 - 1 = n*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*v**4 + v**2 + 2*v - 1 - 224*v**4 + 110*v**4 - 13*v**2 as n + a*v + o*v**3 + w*v**2 + g*v**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4569659, 4569660, 4569661?\nAnswer: 4569662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 21 = -5*w + 4*w, -4*u + w - 24 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*u + 113. Let v = u + -18. Suppose 5*p - v = -22. Which is the second smallest value? (a) p (b) -0.4 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 8:10 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 64020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 + 283 = 59*c - 370 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43390206 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**23)**15*(k*k*k**(-4\/3))\/(k**(-7)*k))**(-3) assuming k is positive.\nAnswer: k**(-1055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 102 and 1.4.\nAnswer: 142.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccuuuui. Give prob of sequence uic.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-2) - ((-27)\/(-3))\/(-3). Calculate the common denominator of 71\/116 - (39\/(-12) - g) and -1 + 1 - 107\/(-10).\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, c: 1, u: 3, a: 4, f: 4}. Give prob of picking 3 f and 1 a.\nAnswer: 16\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 - i**2\/2 + 2\/3.\nAnswer: (i - 2)**2*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1011001111011 (base 2) to base 14\nAnswer: -2151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5966065 divided by 2\nAnswer: 5966065\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 11:53 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 2*g - 4*g)*(-2 + 1 + 4)*(-g + 3*g - 3*g) + 2*g**2 + 2*g**2 + 0*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 7:40 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33190234.\nAnswer: 2, 7, 11, 215521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/10)\/(n**(-2\/25)\/n)*n\/(n\/(n**(-6\/11)\/n))*n**(-2\/23) assuming n is positive.\nAnswer: n**(-8253\/12650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*s**3 + 26 - 26 + 0*s**3 + s**3 - 4*s**3 + (-s**3 + 0 + 0)*(-3 - 2 + 4) + s - 2*s**3 - s.\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-720)\/252)\/(-8*1\/(-28)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x - 4. Suppose 5*v - 8*v = 6. Let t be a(v). Is 1607\/2 + (-1)\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*j = f + 183403, 275096 = -3*f - 4*j. Let i be f\/816 + -1 - (-6)\/8. Let u = -338\/3 - i. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -27, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84956?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m + 2614. Let i(p) = 8*p + 1745. What is 7*i(q) - 5*z(q)?\nAnswer: q - 855","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-468)\/26 + (1 - -1))*2\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 5:21 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 383240 and 585.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-12 - -14) - (-1 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*b + 18, 744*y = -b + 748*y - 23. Solve -81*a - 8 = -5*w - 79*a, -20 = b*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2)*(6 + 42). What is the common denominator of 89\/26 and (-1930)\/208 + o\/(-156)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3861, -3905, -3945, -3981, -4013?\nAnswer: -4041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 163\/24 - 49\/8. Factor 2\/3 - u*r - 2\/3*r**2 + 2\/3*r**3.\nAnswer: 2*(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3449451, 3449440, 3449427, 3449412, 3449395?\n\"Answer: -s**2 - 8*s + 3449460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*o**2 - 143*o**2 - 1252*o**2 - 567*o**2 - 188*o**2 + 121*o**2.\nAnswer: -2276*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 4:39 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1\/(-5) + (-11 - -2) + 5016\/(-165)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91\/46 - -12\/23. Suppose -2*t + 8 = -0*t. Do p and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*f - 1)*(22 - 123*f - 22).\nAnswer: 246*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 24 = 4*t. Let s be (t\/3)\/((-4)\/6). Find the second derivative of -s*l + l**3 - 6*l**3 + 0*l - l wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjxma. What is prob of picking 1 x and 2 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*(-6)\/(-4). Let b be (-4 - (-2 + w)) + 7. Suppose -53 = -b*l + l + 5*v, -5*v + 151 = 4*l. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 5)*(-123*h - 337*h - 188*h).\nAnswer: -3888*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6875, -0.03, -3\/25 in ascending order.\nAnswer: -3\/25, -0.03, 6875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/97 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - ((42 - (-15 + 35)) + -42)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23c (base 13) to base 3.\nAnswer: -112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 - 41*l**2 - 11*l + 448. Is a(-24) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -48*i - 1. Is 9 a factor of d(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 7*g**2 - 5*g - 1. Let f be r(6). Solve -2*l - 5*p = -24, -26 = -2*l - l - f*p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 + 70. Let u = j - 20.6. Which is the smallest value? (a) u (b) -1\/9 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3\/5 (b) 0.02 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -58, -122, -210?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w**2 + 19*w + 16. Let q(o) = 5*o**2 - 10*o - 8. Let c(b) = 4*h(b) + 7*q(b). What is c(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3241410401 (base 5) to base 11.\nAnswer: 3a39731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2799 + 9207. Find the common denominator of 12 and 6\/24 + v\/(-12840).\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 13*h**2 + 479*h - 99949. What is w(-108)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 2*n + 20)*(-31*n**2 - 9*n**2 + 4*n**2).\nAnswer: 72*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.891 - 0.191. Let k = u - 13.7. Let c(h) = -h**2 + 3. Let x be c(0). What is the nearest to x in -1, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4349 and 4.\nAnswer: 1.7396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 173.4563g?\nAnswer: 0.0001734563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 185*b**2 + 0*b**3 - 67*b**4 + 186*b**2 + 0*b**3 to f*b**3 + t*b + v*b**2 + d*b**4 + z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/24 of a day?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54921239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 332*v**2 + 822 - 2*v**3 + 1641*v + 115*v**2 + 369*v**2 - v**3 = 0.\nAnswer: -1, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134799561 less than 80732?\nAnswer: 134880293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1248171.416 rounded to the nearest one hundred?\nAnswer: -1248200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + 1210000101?\nAnswer: 1202222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/2 - 63*n**2\/2 + 588*n - 3430 = 0. What is n?\nAnswer: 14, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**3 - 9*y**2 - 3*y + 7. Let i be t(7). Let g = i + 3531. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-667)\/(-261))\/(2\/(-18))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + 1. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579355 to the power of 1\/2, to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14603, 23397, 32203, 41027, 49875, 58753?\n\"Answer: o**3 + 8787*o + 5815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a millennium in months?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.439526 rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 5*v**2 + 3*v - 7. Give c(7).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 9. Suppose 0 = s - f*u - 12, -s = -4*u - 4 - 12. Suppose 0*q + q - 6 = s. Solve 4*c = 5*k - 2*k - 21, 5*k - q = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**2. Let y(m) = 4*m**2 + 3*m + 3. Let l(g) = 15*g**2 + 11*g + 11. Let x(j) = -6*l(j) + 22*y(j). Give x(r(t)).\nAnswer: -72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5010 and 9555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/65960 and -7\/128040.\nAnswer: 2176680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/2517 and 29\/69.\nAnswer: 57891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147545\/16 - 9225. Let r be (30 + -32)*(13195\/2)\/5. Let u = 21211\/8 + r. Find the common denominator of u and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i - 605 = 40*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 9. Let t be k(-9). Let i = 35 - 32. Solve t*h - 6 = -i*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21588, -21589, -21590, -21591?\nAnswer: -21592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/6*20\/(-6). Suppose -13*y + 2*y + 44 = 0. Put z, -3, y in descending order.\nAnswer: z, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2\/9, 0.394, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 12:58 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1074*i**2 + 1084*i**2 + 1081*i**2 - 3245*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2899 is divided by 289.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -84477990 + 0?\nAnswer: -84477990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/5 of a meter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 2, n: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5084 is divided by 1622?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (285\/75)\/(24\/40). Suppose -21 = -4*c + c. Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -22*2 - (-3 - -2)*1. Let j = 8 + y. Let b be (50\/j)\/(2\/(-14)). What is the highest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11429175, -11429174, -11429173, -11429172, -11429171?\n\"Answer: y - 11429176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 25.5. Let q = f + -2.5. Let h(y) = -y**3 - 3*y**2 - 3*y - 4. Let i be h(-3). Which is the nearest to 2\/9? (a) q (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/15, 94, 0.05 in decreasing order.\nAnswer: 94, 0.05, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -3, -22.\nAnswer: -22, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2700 - 2203. Calculate the remainder when c is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28636 - 28632. Factor -42\/11*g + p - 2\/11*g**2.\nAnswer: -2*(g - 1)*(g + 22)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -47*c - 178. Let g be b(-4). Solve -4*w = 2*a + g, -3*w - 10 = -a - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2*3\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1702918247?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 110*i - 103*i. Suppose 8*s - 15 = -i*s. Calculate the least common multiple of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + 9*w + 2*v + 140 = v, 6*v - 6 = 3*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-104361)\/(5 + -8) - (3 - 7 - -6)?\nAnswer: 3, 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1348937 - 1348937 - 17393*c to w + a*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141 - 147. What is the third smallest value in s, 2\/39, -5?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3989409?\nAnswer: 3, 229, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2878 bigger than -23718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2162, 2, 38, 0.\nAnswer: 0, 2, 5, 38, 2162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1814, -4, 6395 in ascending order.\nAnswer: -4, 1814, 6395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -187625*a. Let c(p) = 667*p. Give c(y(x)).\nAnswer: -125145875*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*y + 3168 = 116*y. Is y greater than -528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - 0.87. Let f = -1.07 - n. Suppose 4*h - 2 = 10. Which is the closest to h? (a) f (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7408208127?\nAnswer: 3, 2469402709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15710*l**3 - 78*l**2 + 78*l**2 + 15040*l**3.\nAnswer: -670*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/112)\/(3\/(-24)*-6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 1:08 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 2, m: 1, a: 2, f: 1, c: 2}. Give prob of picking 1 z, 1 e, and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36137131747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) - ((-28)\/16)\/1. Let m be (-90)\/((-6)\/s)*(-14)\/(-35). Let g(k) = -k**3 - 6*k**2 + 6. Let r be g(-6). Solve -m = -3*t + r*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1244000 rounded to the nearest 10000?\nAnswer: -1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-31)\/62)\/(2\/(-20)). Suppose z*s + b - 254 - 284 = 0, s - 110 = b. Calculate the highest common divisor of s and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i*o - 4*i - 259*o**3 - 7 wrt o?\nAnswer: 2*i - 777*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - 10*y = 47*y - 2175. Solve -6*w = -47 + y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q + 1. Let d be u(-2). Let i(w) = 4*w**2 + 11*w - 5. Let m(y) = 3*y**2 + 7*y - 3. Let h(c) = -5*i(c) + 7*m(c). List the prime factors of h(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950 is divided by 146?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a millennium?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3.4. Let g = -0.74 + -42.26. Let i = 39 + g. Which is the second biggest value? (a) -0.3 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 438 + -437. Which is the second smallest value? (a) -0.1 (b) -2 (c) n (d) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 + -1.152. Round k to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-33)*m**(-12) assuming m is positive.\nAnswer: m**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*j = 23, -4*b + 29 = -6*b - 5*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 716870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**3\/3 + 2*b**2 + 3*b + 5. Let v be r(-5). Solve -v*s = -4*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 19*r**2 + 22*r**2 + 0*r - 1 - r - 40*r**2. Determine n(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 219 and 5402?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 3, 494, 0, 5 in decreasing order.\nAnswer: 494, 5, 3, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 209 * 8204.5\nAnswer: 1714740.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1560*i**2 + 2016. Let n(m) = m**2 + 1. Let v(f) = b(f) + 12*n(f). What is the derivative of v(k) wrt k?\nAnswer: 3144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5344751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*q + 33 = 0, 5*l + 4*q - 2*q = 0. Suppose 0 = 7*d - l*d - 25. Let n = -58 - -68. Solve d*c + s + n = -12, 0 = -2*c + 2*s - 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4. Let q(g) = -g**2 - 9. Let r(o) = 9*j(o) - 4*q(o). Let n(p) be the first derivative of 14 + 5\/2*p**2 + 0*p. What is r(n(w))?\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*k = -67706, -14895 - 52829 = -4*r - 4*k. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, 2, 1 in decreasing order.\nAnswer: 8, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a decade in months?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**5\/20 - j**4\/2 + j**3\/2 - 7*j**2 + 339*j. Suppose 5*i + 4*u = -43, -9 = i - 4*u + 5*u. What is the units digit of o(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b55 (base 16) to base 2.\nAnswer: -111101101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 2, s: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2*-1534837.\nAnswer: -4911478.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16375?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(9\/2)*y))\/y**(-5)*y*((y\/y**(-3\/4))\/y*y)\/y*y*y*y**(-3\/19)*y assuming y is positive.\nAnswer: y**(387\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -8.961?\nAnswer: -13.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.0166411 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-36))\/((-2)\/(-8)). Is 3\/118 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 14. Suppose d*m - 15 - 25 = 2*k, 30 = 5*m + 4*k. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 10*g + 10. Let a be f(10). Let w(o) = -o**2 + 11*o - 8. Let y be w(a). Solve 0 = t + y*p - 4*p - 2, -4*t - 13 = -p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -25. Let k = -14 + t. Sort -5, k, 2.\nAnswer: -5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331300 = -66*f - 439*f + 3818*f for f.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*w - 0*k - 10, 4*w + 3*k = 15. Factor -1\/5*g**4 + 0*g**3 + w + 0*g + 1\/5*g**2.\nAnswer: -g**2*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + 4. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 6:12 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2 + 2*n + 5*n + 8*n. Calculate the remainder when 33 is divided by l(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x**4 - 8 + 8 - 2*x**2 + 2*x**3 as z*x**4 + w*x + b + m*x**2 + p*x**3 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -987 - 25.4.\nAnswer: -1012.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1804\/1069 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -2*u**2 - u + 1. Let n(m) = -2*m. Let s(d) = 7*n(d) - 4*x(d). Differentiate s(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -9*k**4\/4 - 45*k**2\/2 - 8*k. Differentiate l(d) with respect to d.\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -72\/11274835 and -50\/507?\nAnswer: 33824505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 7*g + 8. Let m be y(6). Let a(r) = -44501*r + 2. Let i be a(m). What is i rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(0*x + 2*x + 0*x) + 2 - 2 + x + 2 - 2 - 2*x + 0 + 0 + 2*x - x + 0*x - 4*x + 1 + 2*x - 1 to the form y + d*x and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 140930712 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 173 (base 9) to base 7\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**2*w**2 - 3*k**2 - 47*w**2 - 2 wrt w.\nAnswer: 4*k**2*w - 94*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -11, -5, 2 in descending order.\nAnswer: 6, 2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -156153666 divided by -1369769\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhaaaaaah. What is prob of sequence ha?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 7*r + 4*r)*(2 + 0 - 3)*(0 + 4 - 1).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 6:40 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7350808 - 5*u + 14701612 - 7350804 - 11*u**2 + u + 4*u.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-24*m**2 + 27 - 27)*(1 + 2 - 5) + (-2 - 2*m + 2)*(-m + 4*m - 4*m))*(2*m**2 + 2 - 2).\nAnswer: 100*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5033, -5089, -5133, -5165, -5185, -5193?\n\"Answer: 6*n**2 - 74*n - 4965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 9 = -2*g. Let x(a) = -7*a - 7. What are the prime factors of x(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11130 divided by -106\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Suppose -r*f = 3*w + 6, 0*w - w - 2 = 3*f. Solve f = 3*x + 3*z + 6 - 0, -2*z + 5 = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3262, 3085, 2608, 1681, 154, -2123?\nAnswer: -5300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221518.\nAnswer: 2, 11, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 3*w + 24*w)*(5 - 5 - 2*w**3) + (-2*w + 5*w - 5*w)*(-w**3 - 4*w**3 + 3*w**3).\nAnswer: -58*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.14 + 12.89. What is o rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787.9757 millilitres to litres.\nAnswer: 0.7879757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 - 2*n + 1. Let r be z(2). Let t(k) = k**3 - 8*k**2 - 9*k - 1. Let u be t(r). Let j = 1 - u. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-41930)\/5243 + 8). Let x = b - 745. What is the lowest common multiple of x and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 196*k**4 + 1572*k - 464107 wrt k?\nAnswer: 784*k**3 + 1572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {m: 2, s: 8, v: 4, h: 4, k: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlzkk. What is prob of sequence lk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*w**2 - 70*w**2 + w**3 - 7*w + 36*w**2 to x*w + r*w**2 + f*w**3 + l and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 6 = -3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 + (26 - 16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 72 = -3*n, 0*q + 3*q - 2*n = 72. Let y be -2 + q\/(7 - 3). Suppose -9*i + 11*i = 16*i. Solve i = y*m + 5 - 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216802 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1053733659 divided by -3.\nAnswer: -351244553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 12*b + 4. Suppose 0*y + 12 = y. Let a be l(y). Solve 10 = -4*n - 5*f - 14, a*f + 19 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(1 - 9 - 4)*(73337 - 722*d - 73337) as b + m*d and give m.\nAnswer: -17328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 + m - 19. Let w(s) = -2*s**2 - 9. Let j(o) = 7*w(o) - 3*z(o). What is j(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**5 - 18112*k**3 - 403*k**2 + 4087706*k wrt k?\nAnswer: 40*k**3 - 108672*k - 806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 703340 and 605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 times -7369\nAnswer: 17685.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1642 divided by -212.\nAnswer: -821\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.59956592 to three dps.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 3:14 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, 6, 0.086, -2\/59, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*s - 72 = 0, 268822*s - 126 = 268829*s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + (4 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Suppose s = m + m. Suppose -2*w + d = -m*w - 36, 5*w - 87 = 4*d. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43778551 is divided by 112?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47194207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -182*o - 4066. Is 28 a factor of c(-52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*z = -1 - 31, -3 = 3*u - 5*z. Let h(k) = -k**3 + 7 - 2 - 3 + k**2 - 6*k + u. Let i be h(-9). Round i to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 5:53 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90908181431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -t + 28. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - r = 5, 4*k - 15*r + 27*r + 16 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.096 and -0.59.\nAnswer: -0.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2148 + 2145. What is the nearest to 0.3 in 8, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 375\/45 + 80\/(-15). Suppose -2\/5*d**f - 24\/5*d + 144\/5 - 4*d**2 = 0. Calculate d.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 3765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**4\/12 + 10*t**3\/3 - 55*t**2 - 2*t. Let f(o) = o**2. What is s(f(p))?\nAnswer: 2*p**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 3267 = -5*u + 3347, -5*u = -f - 110 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.91 + -31.91. Let h = -5 - -7. Let b = -1 - h. What is the smallest value in 12, b, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 13*m**3 - 45*m**2 - 11*m - 18. Let h be d(5). What is the highest common factor of 56 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9931021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*m - 2*m**2 - 48*m + 78*m**3.\nAnswer: 78*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**3 - 4*p**2 + p - 1. Let h be w(-4). Suppose k = -5*m - 60 + 361, 2*m = -3*k + h. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4427*g**5 - 114*g**3*i**3 + 813*g**2*i**2 + 18*i**3 wrt g?\nAnswer: 265620*g**2 - 684*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 499887, 1999687, 4499345, 7998855, 12498211?\n\"Answer: -i**3 + 499935*i**2 + 2*i - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66 - (-3 - -70)) + 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 20*s**4 - 17*s**3 + 17*s - 47. Let w(d) = -7*d**4 + 6*d**3 - 6*d + 16. Let c(n) = -6*u(n) - 17*w(n). Differentiate c(a) with respect to a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l**2 + l. Let x(t) = -5*t. What is x(r(k))?\nAnswer: -45*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -367111, -367114, -367117, -367120, -367123?\n\"Answer: -3*o - 367108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6401536*g**2. Let x(y) = -3*y**2. Give x(h(t)).\nAnswer: -122938989477888*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 118 divided by 44\nAnswer: 59\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8610\/7749*72\/20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -193 - -342. Let a = 218 + -179. What is the remainder when w is divided by a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)*(z\/(z**0\/z*z))\/z)**43\/((z\/(z**6\/z)*(z\/z**(-1\/7))\/z)\/((z*z\/z**(-4)*z)\/z**3)) assuming z is positive.\nAnswer: z**(521\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 255307, 1021247, 2297823, 4085035, 6382883, 9191367, 12510487?\n\"Answer: 255318*m**2 - 14*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h*i**3 + 3*h*i**2*x**2 + 6*h*i*x - h*x**2 - 126*i**3 + x wrt i?\nAnswer: 18*h*i + 6*h*x**2 - 756*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133 (base 10) to base 5.\nAnswer: 14013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 486?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1334364 divided by 4.\nAnswer: -333591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 1 + 4. Let f(y) = -y**3 - 3*y**2 + 3. Let k be f(j). Suppose 11*b - 13*b = -14. Solve -3*r - b = -n, k*r - 4*n - 28 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 315 - 315.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/7*z + 0 + 3\/7*z**2 - 18\/7*z**3 - 3*z**4 - 6\/7*z**5 = 0. What is z?\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, x: 3, r: 6, z: 3, e: 3}. Give prob of picking 2 x and 1 r.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -218?\nAnswer: 1\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 61*q**2. Let h(y) = -767*y**2. What is h(i(b))?\nAnswer: -2854007*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3268373517?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69635596*d**5 + 20*d**2 - 176144.\nAnswer: -4178135760*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12214, 12210, 12204, 12196, 12186, 12174?\n\"Answer: -d**2 - d + 12216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.58221 times -0.4?\nAnswer: -49.432884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12750010 divided by -3.\nAnswer: 12750010\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 4. Let i be s(10). Let o be (-1)\/4 + 210\/i. Let n(k) = k + 16. Let h be n(o). Solve l - 3*w = -2, -4*w = -4*l + 1 + h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 3424?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -16745546?\nAnswer: -16745546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 6.888. Let x = -0.125 - z. What is x rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-434)\/63 - -1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + (1*2*sqrt(2000))\/(sqrt(324)\/sqrt(9) - (sqrt(576) + sqrt(4)))) + 3)**2.\nAnswer: 8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7604 from 14.\nAnswer: 7618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 3*s**2 - 3*s**2 + (-5*s**2 + 2*s**2 + 4*s**2)*(0*s + 0*s + 2*s) + (2*s + s - 16*s)*(0*s**2 - s**2 + 2*s**2).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8775.17157 rounded to the nearest integer?\nAnswer: -8775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 10152?\nAnswer: 30456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7 = 3*h, 6*h - 3*h = 4*o + 31. Suppose -2*t = i - 1, i = h*t - 4*i - 40. Suppose 0*a - 12 = -t*a. Calculate the least common multiple of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -87, -168, -255, -354, -471?\n\"Answer: -a**3 + 3*a**2 - 83*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123169 is divided by 61576?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -389 - -0.063.\nAnswer: -388.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -29 + 21 - 11 - (1 + -5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -53. Suppose 2*c - f*c + 2560 = 0. Is 41 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179170 = -22*r - 179148. Calculate the greatest common divisor of 421 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkkkpxq. What is prob of picking 1 g, 1 q, and 1 p?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 0*k + 3*k)*(330*k**3 - 12*k - 10*k + 40*k - 18*k).\nAnswer: -660*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.034 - -0.034. Let j = -3.8 - 1.2. Let v be 3\/(-2)*(-4)\/(-15). Which is the nearest to v? (a) 0 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-21))\/(-1 + (-15)\/(-18)). What is the fourth biggest value in 0.2, 5, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 + 15*o + 18. What is p(14)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2308 - -0.1308. What is the closest to 0.1 in 0, o, -1.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p - 590040 = -135*p. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/3047 and -53\/84485.\nAnswer: 929335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 48\/5 of a millimeter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1637 - -0.0637. Let t = -2.8 + 3. Sort t, h, 1, -4\/9 in descending order.\nAnswer: 1, t, h, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -33*c - 995. Let a be r(-30). Put a, -28, 1 in decreasing order.\nAnswer: 1, a, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-486)\/56)\/(-9)*-12. Let u = n + 78\/7. Calculate the common denominator of 19\/10 and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -890*g*v**3*w - 17866*g*v*w**2 + g - 15*v**3*w**2 - 2*v**2 wrt v.\nAnswer: -5340*g*w - 90*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 19*q**2 + 224*q + 4216. Calculate l(-19).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 41*t + 14. Suppose -14 = -3*v + 10. Let d be y(v). Suppose -4*j = 2*j - d. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*c = -386, -2*c - 763 = -4*a - 7*c. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b. Let q(f) = 453*f + 72. Give q(x(d)).\nAnswer: -906*d + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -42820 divided by -5?\nAnswer: 8564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -6)*-1 + 250232 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.3 - 6. Let j be (87\/9)\/(15\/(-18)). Let a = 12 + j. What is the closest to -2 in p, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 57136.38 from 25.\nAnswer: -57111.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -28. Suppose 3 = 2*f - c, 0 = f - s*c + 5*c + 9. Let j(w) = -w**3 + 1117. Is j(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**6\/720 - p**5\/40 - p**4\/6 + 3*p. Let j(c) be the third derivative of n(c). What is j(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 2 h when four letters picked without replacement from httchhsaachvhachhhh.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -372 - -1133. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**4\/4 - 2*j**3 - 5*j**2\/2 + 3*j - 2. Let m be p(-5). Sort -1, m, -4 in decreasing order.\nAnswer: m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 7 = -5*l + 8, -5*l - 4*k + 15 = 0. Suppose -18 = -4*y + 12*c - 11*c, l*y - 5 = 5*c. Solve -2*h - d + 4 = -y, -5*d + 30 = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*n**3*r**2 - n**3*r - 75*n**3 - 221*n**2 - 2*n*r + 7*r**2 wrt n?\nAnswer: 30*r**2 - 6*r - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 135, -2, 5, -229\/5, 2\/33?\nAnswer: -229\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -14. Suppose -4*v - 40 = -3*b + 2*b, -20 = h*v. Suppose -5*w - 7 - 5 = 4*l, 5*w = l - 22. What is the lowest common multiple of l and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24478 + 42243. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 252686 = -3*s + 8*s, 0 = c + 6*s - 252697. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210 divided by -35\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31599905*f**3 + 37016447*f**2 - 2?\nAnswer: -189599430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 0*f = 2*h + 1495, -3*f = 5*h - 470. What is the remainder when 218 is divided by f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8 minus 8178450837?\nAnswer: -8178450833.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - r**3 - 3*r)*(-r - 12 + 12)*(-271 + 969 - 424).\nAnswer: 274*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/79 - 87\/316. Suppose -5 = -v + 3*p - p, -3*v + p = -10. What is the biggest value in v, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/47)\/n*n**(-5)*n*n*n*n**6*n*(n**(8\/5)*n)\/n assuming n is positive.\nAnswer: n**(1326\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**4\/2 - 117*b**3\/2 + 111*b**2 = 0. What is b?\nAnswer: 0, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80788.18 hours to milliseconds.\nAnswer: 290837448000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131 + 180 - 18*w + 133 + 16*w.\nAnswer: -2*w + 444","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 315 - 13?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 9 = -2*g, 0 = -n - 26*g + 25*g + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -106020.29 to the nearest 1000.\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 406 - 35\/10*2. Let v = b + -394. Solve 12*o + 7 = v*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3042, -12915, -29364, -52389, -81990, -118167, -160920?\n\"Answer: -3288*o**2 - 9*o + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-26) - (-540)\/(-39). Let t be -2 - 20\/(-28) - 4\/n. Let s be ((-11)\/(-22))\/((1 - t)\/(-76)). Is s smaller than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -4. Suppose -13 = -3*n - 3*z - b, 2*z = 2. Solve 27 = 5*x + n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**5\/5 + 17012*c**4\/5 - 623656*c**3\/5 - 1315392*c**2\/5 = 0. Calculate c.\nAnswer: -2, 0, 39, 4216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0*g**6 - 4\/21*g**7 + 0 + 0*g**4 + 8*g + 0*g**2 + 0*g**5 + 11\/6*g**3. Find the second derivative of s(f) wrt f.\nAnswer: -160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2.4 (b) -1\/8 (c) 11\/5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 185\/16 = 3.161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 166*k**3 - 8*k**2 - 18*k - 11. Determine w(-1).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) -91 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41186*x - 29278*x - 22362*x to j*x + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 11:47 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2322126751.\nAnswer: 7, 251, 1019, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1003631 - -5?\nAnswer: 1003636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1184 divided by -2?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 271 = -323. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.73*0.2\nAnswer: 1.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 535 + -530. Suppose 0 = -w - j, 3*w + 36 = 10*h - 7*h. Solve 3*s - 2*r + h = 0, 2*r = 4*s + 9 + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = y - 690. What are the prime factors of y?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*n - 210 = -201*n. What is the remainder when 71 is divided by n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 - 2. Calculate x(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 - w**2 + 3*w**2 + (5*w - w - 3*w)*(-1 + 1 - 2*w))*(-41058*w**2 + 177 - 512 + 170 + 165).\nAnswer: 164232*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 10:38 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m - 6*m + 7*m**2 + 5*m + m**3 - 6. Let s be b(-6). Let r(d) = -d**3 + d**2 - 2. Give r(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 22*t**5\/5 + 13*t**2 - 17. Find the second derivative of s(d) wrt d.\nAnswer: 264*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.2, 3, -1\/1331, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, j: 1, e: 3, f: 1, n: 1, g: 6}. What is prob of sequence gg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043 times -153718?\nAnswer: 6609.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -7. Let q be (6\/4)\/(v\/(-8)). Let l be (-2)\/(-6) + (-4)\/q. Solve 4*d + 0 - 4 = l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 87*g**3 + g**2 + g - 1. Determine f(1).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7081 and 876298.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -82303, -2\/7, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 - -87. Let t be (6*2\/18)\/(w\/18). Suppose -b + 41 = 5*c, -3*c + 28 = t*b + b. Calculate the greatest common factor of c and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbd. Give prob of picking 1 b and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -23*p**6\/30 + 7*p**4\/3 + 2*p. Find the third derivative of l(g) wrt g.\nAnswer: -552*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.8 + 10. Let y = -2 + -2. Which is the closest to g? (a) 0.2 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u + 4*u - u)*(1 - u - 1) + 2*u - 2*u + u**2 - 5*u**2 + 2*u**2 + u**2 - 129*u + 129*u + 37*u**2)*(-5*u + 0*u + 3*u).\nAnswer: -68*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3)*((-63)\/(-27)*9)\/(-25)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = -42*o - 195 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 573, 708, 845?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 - -113. Which is bigger: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 5*g + g + (g + 3*g - 2*g)*(2 + 3 - 4) - g + 4*g + 0*g + 2*g - 2*g + g - 9*g - 348 - 2*g + 351 in the form c + n*g and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f = -18. Suppose 0*s + 6 = -2*s. Let q = s + f. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-28))\/(-1)*(-5320)\/(-380)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 2, v: 2, k: 2, g: 5, i: 2}. What is prob of sequence gk?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9457 = -26*v + 14839. What is the highest common factor of 1950 and v?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/44*-2*((-20)\/8)\/((-5)\/(-20)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -680356.1 to the nearest one thousand.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 24. Suppose x = -5*r - 5*w, -4*r + 5*r - 5*w = 25. Let o(k) = -k**3 - k**2 - k + 26. Is o(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.12 and 101.\nAnswer: 100.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -50.\nAnswer: -21\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 5*t**2 + 5*t + 5. Let q be l(-4). Suppose w + q = 7. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 9) in base 7?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + 220*f + 1891. What is z(118)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/36)\/(120\/450)*(-496)\/10. Suppose d - 95 = b + b, 367 = 4*d + 5*b. Calculate the greatest common factor of d and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104725 divided by 5\nAnswer: 20945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1821 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 7295993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 3*n**2 + 1\/300*n**6 + 1\/60*n**4 + 0*n + 0*n**3 + 1\/75*n**5 + 0. Factor s(z).\nAnswer: 2*z*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -630 - -1688a?\nAnswer: 1625a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -17 (b) 0.5 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -302 <= -1\/631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Suppose -a*b + x = -8 + 1, b - x - 1 = 0. Let i(d) = 8*d**2 - d + 11. What is the units digit of i(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.68 rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 8, -0.081, 2, 4\/11, 0.1, -5, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b**(-11)*b)))\/(b\/b**(-2)))**32*b\/(b\/(b\/(b**(-3)*b)))*b*b**0*(b*b*b**(-1\/4))**26 assuming b is positive.\nAnswer: b**(-669\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, l: 4, i: 1, v: 1, b: 2, q: 1}. Give prob of picking 1 l, 1 i, and 1 b.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125.2242 + 110.196. Let n = q - 0.9754. Let i = n + 16. What is i rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*p**4 + 7*b**2*p**2 + 2*b**2*p*q + 2*b*p**2*q + 20*p**6 - 3*p**4*q wrt p?\nAnswer: 24*b**2*p + 2400*p**3 - 72*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/3 at most as big as -438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394498?\nAnswer: 2, 13, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 6*c**2 - 4*c - 3. Let y be p(5). Suppose -y*f + 6*f - 4*k - 48 = 0, -5*k = -3*f + 32. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 + (-61466)\/(-132). Let o = -548 + 1013. Let u = o - i. Find the common denominator of u and -73\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.2. Let u = -163 - -162.29. Let n = u + -0.29. Sort 0.4, l, n.\nAnswer: n, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 2534 = 114. Let o = 222 + x. Is o smaller than 332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 6*l**2 + 4*l + 5. Let n be w(5). Suppose -5*y + 6*y = n. Let j be (2 - -1) + 0 - y. Put 2, -2, j in increasing order.\nAnswer: -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**4 - 327*z**3 - 39383*z**2 - 2057997*z - 38989692 = 0.\nAnswer: -93, -92, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*o**2 + 70 - 72 + 37*o**2.\nAnswer: -72*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z + 20. Calculate w(22).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 90?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -78*m. Let x(i) = 50*i + 1. Calculate x(l(h)).\nAnswer: -3900*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -794*c + 787*c = -63. What is the lowest common multiple of c and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31 + 0.19. Let l = y - 0.4. Put l, -4, 3, -0.2 in increasing order.\nAnswer: -4, -0.2, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 3:34 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*d**3 - 11*d**2 + 107*d**2 - 42*d**2 + 1 - 4*d**4 + d**3 to the form p*d**2 + i*d**4 + y*d**3 + t + m*d and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -25. Suppose w*b - 4*b = 210. Let l be b\/(-10)*5\/(-3). Solve -l*i - 2 - 3 = -5*f, i - 1 = 2*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.05. Let w = y - 1.95. Let p = w + 1. Is p at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5587.337 decades?\nAnswer: 55873.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-36) - (-2 + (-39)\/12). Let h be 3\/12*4\/1. Put h, r, -5 in descending order.\nAnswer: r, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -330377197 divided by 5\nAnswer: -330377197\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 12\/(-2 + -2). Suppose 2*q + f - 7 = 0. What is the remainder when 11 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2\/4 + 11279*x\/2 - 67665\/4 = 0.\nAnswer: 3, 22555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6173 - 6168 = 33*o - 499*o - 1623 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7990, -15979, -23968?\nAnswer: -31957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/822 and 62\/11257975?\nAnswer: 67547850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 11031323?\nAnswer: 11032000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 0.01422, 0.01?\nAnswer: 0.01422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-1 + 2 + -2). Let b = -4 + s. What are the prime factors of 2*b*(2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129 or -506335\/3963?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1089, 2190, 3291, 4392?\nAnswer: 5493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 6*n**2 + n + 6. Let p be r(-6). Suppose -2*j = -5*d - p*d - 6, 4*j - 12 = d. Suppose -l - 1 + 5 = d. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.97 - -1654010389\nAnswer: 1654010394.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 2*s - 5. Let y be o(-4). What is the second derivative of -3*f - 2*f**y + 2*f - 2*f wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 17*n**2 - 4*n + 29. Let a(t) = -17*t**2 + 4*t - 37. Let r(o) = -3*a(o) - 4*c(o). Let v(m) = -4*m**2 + m - 1. Determine 6*r(y) - 26*v(y).\nAnswer: 2*y**2 - 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 79*w - 483. Let v be x(-45). Solve v*m - 21 = 8*m - 3*l, 3*m + l - 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1514965, -1515003, -1515041, -1515079, -1515117, -1515155?\n\"Answer: -38*v - 1514927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 427230464 to the nearest 10000.\nAnswer: 427230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhm. Give prob of picking 1 h and 1 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 != 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.66 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-57))\/(-1 - 55\/(-60))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 + 28 = 21*s. Suppose -4*j + 10 = -10. Differentiate -7262*y - j + 7262*y + s*y**3 with respect to y.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 61, 169, 271, 361, 433, 481, 499?\n\"Answer: -r**3 + 3*r**2 + 106*r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*l - 36197 = 20075 - 3712. Sort l, 4, -2, 3.\nAnswer: -2, 3, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 805661 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 10*f**2 + 2*f + 10. Let w(l) = -l**3 - 9*l**2 - 2*l - 8. Let z(u) = 5*w(u) + 4*x(u). What is z(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 215.\nAnswer: 107.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h - 248 = -9*h. Let c = h - -83. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/3))**18\/(k**(-7)*k*k**(-32)) assuming k is positive.\nAnswer: k**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -612 - -789. Calculate the remainder when i is divided by 48.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5\/((-1)\/(-8) - 5356\/43680)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 2 - (-2976 + 2901).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34070 is divided by 8513?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3510\/8190*(-56)\/(-60).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t - 52 - 39 = 59 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c + 1. Let q be (-30)\/(-40) - (-13)\/4. Suppose -q*z + 16 - 28 = 0. Let f(l) = 4*l - 1. What is z*f(v) - 2*s(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2 + 189*h + 1704 = 0. What is h?\nAnswer: -8, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-2)*1036\/(-3626).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*d**3*i**2*n**3*p**3 + 2*d**3*i*p**3 + d*i**2*n**3 + 2*d*i*n**2 - 18*i*n**3*p**3 - 3*n*p**3 wrt i.\nAnswer: -108*d**3*n**3*p**3 + 2*d*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 6*r - 5. Let f(i) = -3*i**2 - 7*i - 6. Let u(d) = -3*f(d) + 4*h(d). Let n be u(3). Let c(j) = j**2 - 2. What is the units digit of c(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 10*g - 2. Let a(h) = -h + 1. Determine -5*a(x) - r(x).\nAnswer: -5*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 5:05 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 8, h: 2, r: 4}. What is prob of picking 2 r and 1 m?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j - 163. Calculate s(35).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3020 take away 1?\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trr when three letters picked without replacement from {t: 7, r: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4\/5 - 1517*a**3\/5 - 3168487*a**2\/5 - 6332419*a\/5 - 633090 = 0.\nAnswer: -1175, -1, 2694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*j, -3*f + 44 = -2*j - 2*j. What is the least common multiple of 14 and f?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b*v**4 - 601*b*v**2 + 2*v**5 - 58*v**4 - 3*v**2 - 3*v wrt v.\nAnswer: 72*b*v + 120*v**2 - 1392*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35290*a*c**2 - 125346*c**2 wrt a?\nAnswer: 35290*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4126616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 9 - -11) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13273790 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -320 divided by 5\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.2 * 1.0106.\nAnswer: 26.47772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 4*j**2 - j)*(53 - 29 - 15).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + 254. Let t(x) = -x + 8. Let m = 23 + -32. Let l be t(m). What is the greatest common factor of a and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 16*r**2 + 20*r - 29. Let a be z(17). What is the highest common divisor of 3278 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3624844663?\nAnswer: 11, 31, 61, 174263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 153978344 in descending order.\nAnswer: 153978344, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 15 = 4*r, -2*g + 3 = -g - 4*r. Let h be 9 - 2\/(-3)*-3. Solve -h = -2*u + g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833 - 2193 = 170*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -6. Suppose x*h - 7*h = 423. What is the remainder when h is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 2. Let q be k(4). Let g = q + 4. List the prime factors of -14*(-1)\/g*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*k + 25*k - 16*k**2 + 44*k wrt k?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 3*g = -w + 20, 0 = 3*w - 5*g + 28 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*24\/(0 + 4). Let l(a) = a + 2. What is l(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17483 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78503772?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21451427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 147501.041 minus -0.0181?\nAnswer: 147501.0591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + (sqrt(288) - 3*(1 + sqrt(288) + sqrt(288)))) + 3)**2.\nAnswer: 9120*sqrt(2) + 115561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6754101 is divided by 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/2))**(-11\/3)*b**(-3\/8)\/b**(-6) assuming b is positive.\nAnswer: b**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14689783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -732*y**2 + 150958*y + 156794135 with respect to y.\nAnswer: -1464*y + 150958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 1, z: 1, a: 2}. What is prob of sequence pag?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*u - 2 = 0, 3*u + 8 = -3*q + 8*u. Let m = -20 - -159\/8. Which is the closest to 1\/4? (a) q (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21102*g - 2*g**3 - 21102*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -28*n**4 - 6*n**3 + 13*n - 6. Let x(f) = 56*f**4 + 13*f**3 - 26*f + 13. Let j(h) = 13*l(h) + 6*x(h). What is the second derivative of j(d) wrt d?\nAnswer: -336*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - n**2 + 1. Let y be (27\/(-15))\/(6\/(-20)). Let g(v) = -5*v + y*v - 11 - 1. Let a be g(12). What is w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011100010 - -11?\nAnswer: 101011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2478, 9865, 22192, 39471, 61714, 88933, 121140, 158347?\nAnswer: 200566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 7, -9\/11, -0.5, -8\/5 in descending order.\nAnswer: 10, 7, -0.5, -9\/11, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrgrkwwwwwggg. What is prob of picking 1 w and 3 r?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -142, -231, -352, -517, -738?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-70)\/(-20))\/(14\/2)*11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - m. Let f(a) = -7*a**3 - a**2 - 5*a + 2. Let g(c) = f(c) - 6*o(c). Give g(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {f: 3, j: 3, o: 3, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5214 + 5212. What is the nearest to 0.14 in h, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05396 > 31271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1171082862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1655 and 32107?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3 - 3*q**2 - 8 - 4*q**3 - 3 to f*q**2 + r + x*q + u*q**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quqq. Give prob of sequence uqu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 259149 - 178010. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -630437, -1260866, -1891295, -2521724, -3152153, -3782582?\n\"Answer: -630429*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -22221?\nAnswer: -22221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89976, -90282, -90792, -91506?\nAnswer: -92424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -65*n**2 + n - 2. Let k be g(1). Let z be (7 - 8)*k\/3. Does 32 divide 18\/(-99) + 6\/z*393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.11 - 0.21. Let o = 3.1 + h. Let j be ((-2)\/5)\/((-80)\/(-250)*5). Which is the closest to o? (a) 5 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**2*m**3 - c**2*m**2 + 362*c**2*m - 2*c*m**3 - m wrt m.\nAnswer: -18*c**2*m - 2*c**2 - 12*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 12, f: 3, w: 1}. What is prob of sequence ff?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-144)*6*6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*c = 84*c + 24. Let w(q) = -1 + 6356*q**2 - q - 6357*q**c + 4*q - 2*q**3. Determine w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.68 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2370 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 2. Let r(b) = -5*b**2 - 7*b + 8. Let g be r(1). Let l(f) = -71*f - 18. Let m(o) = g*v(o) + 2*l(o). What is the first derivative of m(j) wrt j?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 94.2627 litres?\nAnswer: 94262.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15035628 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1240 + -1014043002?\nAnswer: -1014041212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5227434 >= -5227435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -366, -367, -368?\n\"Answer: -t - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (27 + 6 + -36 + -19)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (651\/(-279))\/((-1)\/6*2). Suppose -m + 6 = 3*a, -2*m + 6 = 3*a - 0*a. What are the prime factors of (a - (2 - -2)) + (228 - j)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -127? (a) -4 (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -816.436594 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 5*x - 6. Determine v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 315*d**2 + 346*d wrt d?\nAnswer: 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24.2, 0.1, 0.18, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119360 and 16?\nAnswer: 119360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-10)\/s)\/s**(-2\/21))\/(s**(-7)\/s*s**(-23)*s) assuming s is positive.\nAnswer: s**(422\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 - 3*s**2 + 0 - 5*s - s**2 + 3. Let p be k(5). What is the greatest common factor of 9 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + s**3 + 28*s**3 + 14 - 59.\nAnswer: 29*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 386 - 362. Let b(w) = 28*w + 3. What is the hundreds digit of b(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + -68.\nAnswer: -68.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*3 + -3 + 0 + sqrt(891) + 3 + (sqrt(891) - (-1 + sqrt(891)))**2 + -1 + -2*sqrt(891).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 66 = 15*j. What is the remainder when 79 is divided by -2 - j\/5 - 168\/(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 9, -2, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**2 + 6408*k - 1879605 = 0.\nAnswer: 351, 1785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 9 = -3*d + 35, -5*d + r = -6. Suppose d*j - 5*s - 67 = 0, -3*j = -0*j + s - 92. Let b = j + -23. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1971*j**2 + 1971*j**2 - 67*j**3)*(0*j + 0*j - j)*(3 - 2 + 0)*(-3*j + 2 - 2).\nAnswer: -201*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1063003 divided by -419\nAnswer: 2537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**5\/50 - 29*t**4\/30 - 2*t**3 - 187*t. Factor c(x).\nAnswer: 2*x*(x - 30)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1076837 - 225?\nAnswer: -1077163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - 46. Let n = -1 - h. Does 11 divide (12\/(-9))\/((-4)\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -2 - 5)\/((-117)\/36).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + 49. Let k(p) = 3*p - 41. Let t(j) = -6*c(j) - 7*k(j). Calculate t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38.7 + 41.7. Let y(a) = a**2 + a + 2. Let j be y(0). Let s = 195\/161 + -18\/23. Put c, -2, j, s in increasing order.\nAnswer: -2, s, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 124*f**2\/3 + 76757*f\/3 + 619\/3.\nAnswer: (f + 619)*(124*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-4\/19)\/q)\/q*q)**(-2\/31)*q*q**(2\/25)*(q**(-2\/107)\/q)\/q*q)**(-8\/9) assuming q is positive.\nAnswer: q**(-1757168\/14180175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1649*f - 13156. Determine s(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:36 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7203474 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-8) + (-1)\/4. Suppose b*t + 2*n = 3*n + 149, -n = -2*t + 100. Let w = t - 28. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24118*i**4 - 1618*i**3 + 507480559?\nAnswer: 96472*i**3 - 4854*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111808?\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 6:50 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385 a factor of 3495667980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 112123 (base 5) in base 16?\nAnswer: fc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 5*s + 1 + 2*s)*(-1 - 2*s + 1)*((-1 + 3 - 4)*(-2 + 4 - 3) - 2 - 3 + 3 - 9 - 46 + 118).\nAnswer: 126*s**2 - 126*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 831619087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:48 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2859 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - 0.09. Let r = 46 - 187\/4. What is the nearest to n in -2\/5, r, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4672241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/42 + 135\/567. Which is the nearest to 1? (a) -3\/4 (b) 1\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1637, -1568, -1379, -1010, -401?\n\"Answer: 10*g**3 - g - 1646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(475) + -4 + (-2 + (-4*sqrt(475) - sqrt(475)) + sqrt(475) - sqrt(475)))*-5)**2.\nAnswer: 80000*sqrt(19) + 3050000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efeeefe. What is prob of sequence eeff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(3)*1 - (sqrt(160) - 1*sqrt(160)))\/(-5*(-2*sqrt(72) - sqrt(72))).\nAnswer: sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -14. Which is the second biggest value? (a) -4 (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtwwt. What is prob of picking 1 t, 2 w, and 1 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n + 42*n + 61*n = 1170 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*a - 3 = -8, 3*a - 25 = -s. Let x(d) = 17 - 6 + 2*d - 3*d. Let n be x(9). Solve n*h + s = 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457942*d + 915688*d - 457992*d.\nAnswer: -246*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**6\/60 - b**5\/20 + b**2 + 1. Let v(d) be the second derivative of i(d). Find the third derivative of v(f) wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 103*j + 1004. Let r be c(9). Let o = 2 + 0. Put 5, r, o in decreasing order.\nAnswer: 5, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*b - 250*d + 253*d + 124, -20 = -b - 4*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 366, -3, -1, -5, -1715 in increasing order.\nAnswer: -1715, -5, -3, -1, 3, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1416, 2 in increasing order.\nAnswer: -1416, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11542467*x - 11542467*x - 12 - x**3.\nAnswer: -x**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9\/304 (b) 2 (c) 0.01 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2988)\/1162)\/(17\/(-14) + 1). Solve 6*v + w = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3 - 1 - 3*k + (3 - 1 + 1)*(3 - 3 - 6*k + (4*k - 6*k + 4*k)*(2 - 3 + 5)).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3672525 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241397.01s to days.\nAnswer: 2.793946875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1315 is divided by (2\/7)\/(108\/31752)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402.142km to millimeters.\nAnswer: 402142000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 79 - 42)*(12*i**2 + 9*i**2 - 20*i**2 - i - 14).\nAnswer: -84*i**2 + 84*i + 1176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 424 and 4568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) 3\/4 (c) 0.4 (d) -8 (e) 1\/83 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(-11)*(2 + -1). Put j, 1, -2 in descending order.\nAnswer: 1, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**2 + 24*t**2 + 10*t**2.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66 and 0.4?\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -791*-2376.\nAnswer: 1879416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*((r\/(r\/r**(-1\/5)*r))\/r)\/r*r*r**(2\/13)\/r*r)**(-45)\/((r\/(r*r*r*r**(3\/4)*r)*r*r\/r**1)\/(r*r*r*r**(2\/3)*r*r*(r\/r**(-1))\/r)) assuming r is positive.\nAnswer: r**(-5227\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 3*w**2 - 11*w - 36. Determine u(-6).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(12)\/(sqrt(16)\/sqrt(4)*-3).\nAnswer: -2 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6732)\/(-45))\/(46\/115). Which is bigger: 375 or o?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (54\/7)\/((-468)\/(-463008))?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 6:33 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*v + 73*v - 12250 = 72*v for v.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-406 - (-3)\/(-1)). Let r = -3 + 11. Calculate the remainder when h\/(-14) + 2\/(-7) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**5)\/(l*l*l*l\/l**8*l*l*l*l)*l**(-4\/7)\/(l\/(l*l**(-4)))*l**(3\/7)*l\/(l*l**(7\/5))*(l*l**3*l)\/((l\/l**8)\/l*l) assuming l is positive.\nAnswer: l**(436\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -243026 times -0.3?\nAnswer: 72907.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*h + 3*t, -2*h - 13*t + 17*t = 18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469\/1080481 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2. Suppose -5*d + 7 = 2*p, 9 = 4*d + 5*p - 0*p. Let l(v) be the first derivative of 0 - 2*v**2 + 3 + d. Determine h(l(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 73*i - 716. Let w be a(15). Solve w = 34*v + 52 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 72*p**3 + 2*p**2 + 7*p + 5. Let g be q(-3). Let l = -663 - g. What are the prime factors of l?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**16)**(1\/3) assuming v is positive.\nAnswer: v**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -3\/7 (c) 3\/7 (d) 0.5 (e) 5 (f) -0.5 (g) -20432\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffflflffff. What is prob of sequence fl?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 239, 5, -17638?\nAnswer: -17638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -635 * 755178.\nAnswer: -479538030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 842*q**2. Let v(x) = 4*x + 5. Determine v(t(z)).\nAnswer: 3368*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1131*x**4 + 273*x**3 + 556 - 52 - 273*x**3 with respect to x.\nAnswer: 4524*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9331*c + 9330. What is s(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x. Suppose x = -6*h + 2*h + 136. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.409, -0.3, 4, 1\/6, -2\/11 in ascending order.\nAnswer: -0.409, -0.3, -2\/11, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1649276 and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 - (-9 + 5) - 21. Let d = g + 30. Suppose -d*v + 7*v - 438 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*sqrt(3) - (2*sqrt(21))\/sqrt(7).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8 + 37 + 7 + 8*a - 9. Let j be d(6). Suppose o = 315 - j. What is o rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + t - 12. Let s be r(0). Let z = 2 - s. What is the lowest common multiple of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**2 + 65*w + 1291. Determine l(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/8*-1*(54\/(-30))\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/7754043 and -10\/1089.\nAnswer: 23262129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0*n**6 + 0 - 1\/13*n**3 - 3\/65*n**5 + 1\/273*n**7 + 4\/39*n**4 + 0*n**2 + 25*n. What is v in z(v) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 + ((-55)\/44 - 10\/(-8)) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-108) - 86\/(-18). Let c(h) = 3*h**2 - 5*h - 6. Let o be c(n). Suppose 3*w = o + 13. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-3 + 2) + -3. What are the prime factors of -15*(s - (-6)\/(-9))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Suppose -2*a - h = a - 11, -u = a - h. Suppose z + 73 = 3*k - 18, -a*z + 74 = 2*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1071, -1294, -1723, -2358, -3199, -4246?\n\"Answer: -103*t**2 + 86*t - 1054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - -215235?\nAnswer: 215225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/147 and -18\/11?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 300*g + 354. What is x(-1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4035 is divided by 160.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4376 = -220*r + 1784. Calculate the greatest common divisor of r and 358.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 145.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1189357*r + 4757439. What is k(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3548839 and 399?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + -5 + (1 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4347 - 2.45. What is q rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1 - -18)\/((-12)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-62)\/4 + 1640\/3280\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313795973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3*i - 3*i)*(2*i + i - 4*i) + (-i - 2 + 2)*(10*i + 14*i - 4*i) + 10*i**2 - 4*i + 6*i + 0*i.\nAnswer: -9*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m*r**2*w - m*r**2 + 80*m*r*w + 20*m*r + 2*m*w + 27*r**2*w + 13*r**2 - 3*w wrt r?\nAnswer: 2*m*w - 2*m + 54*w + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131502233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 717 or -2\/900017?\nAnswer: -2\/900017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-2 + 1 - 6). Solve -y - 7*d + 12*d = -24, -4*y + z*d = -16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 7 - 23. Suppose -i + 4*n + 25 = -0*i, b*i = -4*n. Let t be ((-22)\/(-77))\/(16\/280). Is i > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 = -11. Let o(y) = -y**x - y**3 + 2 + y**3 + 8*y**2. Let d be o(8). Solve -6 = d*u - 2*m + 6*m, 4*u = -3*m - 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/21*(-14)\/(-9)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -9116, 0.02?\nAnswer: -9116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365.4019 rounded to the nearest 10?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = -12. Suppose -3*s = c - 50. Calculate the highest common factor of 21 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/230 and 40\/12*19\/152?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3 - 2)*(10*s - 8*s + 2*s).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28, -111, -264, -505, -852, -1323, -1936?\n\"Answer: -3*x**3 - 17*x**2 - 11*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 12*u + 1104. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 + 22*w**2 - 25*w - 4. Let f be j(-12). Suppose -3*t - 2 = -f. What is the lowest common multiple of t and 17?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15526*o**3*u - 3*o**3 + 1713*o wrt u?\nAnswer: 15526*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2. Let w(l) = -4*l - 2. Let o(h) = -1 + 5*h + 2 - 1 + 3. Let k(i) = 2*o(i) + 3*w(i). Give d(k(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/3)*h\/h**(1\/11))\/(h*h\/((h*h**(-1\/5))\/h*h*h))**(-5\/6) assuming h is positive.\nAnswer: h**(-13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 3*y + 82. Determine t(0).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 163527487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 4) + -6 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 854.6307 millennia in decades?\nAnswer: 85463.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 27. Let b be 119\/15 + (-65)\/(-975). What is the highest common divisor of o and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -687849 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6364*s + 171161. Give t(27).\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 11:59 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 1183*o**2 + 623*o**2 - 3*o + 4 + 7*o**3 + 612*o**2 to p*o + s*o**2 + y*o**3 + l and give s.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-36))\/((-17)\/119).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/5 - 24*q**4 - 4983*q**3\/5 - 80912*q**2\/5 - 356352*q\/5 + 442368\/5 = 0. Calculate q.\nAnswer: -48, -32, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16 - -43 - -10) + -14 - (1 - 13)) + 9?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1076931 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 take away 107927?\nAnswer: -107926.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hqccqhhhchhhhhh.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -24 + 12 + 17\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 77*b + 19. Let c(p) = -226*p - 54. Give -5*c(f) - 14*k(f).\nAnswer: 52*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y - 386 = -2*g, 4*y = 12. Let l be 7\/(g\/(-1284)) - 2\/14. Let v = 18 - l. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 + (4 + -4 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14299672243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1271 or -1?\nAnswer: 1271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4050852 and 93288?\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 = 5*n, 7*d + 5*n - 8 = 3*d. Sort 170, d, -3 in descending order.\nAnswer: 170, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/((y\/y**(4\/7)*y)\/y))\/(y**6\/y))\/(y\/(y**(-1)*y))**(-28)*((y**0)**(-19))**(2\/77) assuming y is positive.\nAnswer: y**(172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1567389\nAnswer: -5\/1567389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 18. Let n be h(0). Suppose -n*y + 15*y - 9 = 0. Which is the nearest to 0? (a) 5 (b) 2\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2372*v + 16602. Calculate b(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + -3 + 3\/3 + 3. Let a be 198\/36 - t*(-2)\/8. Suppose 0 = 3*d - w - 35, 0 = d + a*w - 6 - 11. What is d rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 3*f**5 - 7*f**2 - 2*f + 8. What is the derivative of u(q) wrt q?\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 3:15 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 39\/7*19 + ((-2)\/(-74) - 831957\/940947)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5 - 59*m**4 - 775*m**3 + 2879*m**2 - 248*m - 3844 = 0. Calculate m.\nAnswer: -31, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 13*p**5\/30 + 6*p**2. List the prime factors of m(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*l = 20, -15 = -21*f + 22*f - 3*l. Let w = -1 + 1. Which is the closest to w? (a) 5 (b) f (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + z + 2*z + 2*z - 1 - 2*z**3 + z**4 in the form c*z**2 + n*z**4 + o*z**3 + l*z + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -818, -1840, -3288, -5162, -7462?\nAnswer: -10188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -84bb + -10?\nAnswer: -850b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -21. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*a + o = 0, -4*a = -3*o - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13924, 27845, 41762, 55675?\nAnswer: 69584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + 3*u - 25 + 4*u + 2*u**2 - 5*u. What are the prime factors of t(-9)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 4485.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16945.14968 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i + 8*i + 2 - 9*i + 2*i - 4*i + 3*i - 4 + i + 4 + (-1 + 2 + 1)*(1 + i - 1) + 3*i + i - 2*i.\nAnswer: 11*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*j, 3*j - 2 = 3*x + 1. Find f such that 75*f**4 - 1 + 69*f**x + 15 + 4*f**5 - 118*f + 5*f**5 + 7 + 3 + 181*f**3 = 0.\nAnswer: -4, -3, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -10*q + 3. Calculate the remainder when t(-3) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1271 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -569, -1832, -3799, -6482, -9893, -14044, -18947?\nAnswer: -24614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*r - 2*w, 5*r + 1 = 2*w - 3. Suppose 2*j - 3*l = 7*j + 6, r = 4*j + 4*l + 8. Solve 8 = 2*b - j*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.85266ms in microseconds?\nAnswer: 42852.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*201.\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**4\/12 - 10*l. Let r(d) = 3*d. Determine r(f(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 144127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -16, 2*y = -2*w + 5*y + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1861*b + 2 + 2151*b - 7105*b.\nAnswer: -6815*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13639563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4411)\/(-440) - 10)\/((-1)\/(-4))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2505797 is divided by 3632?\nAnswer: 3349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67)\/(5695\/(-68))*10\/(-22).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -13*u + 48. What are the prime factors of (9\/u)\/(((-65)\/(-610))\/13)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(17)*2 + 4 + sqrt(17)) + 5 - (-3*(sqrt(17) + -2) + -3 + sqrt(17) + -5))**2.\nAnswer: 110*sqrt(17) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(32) - (0 + sqrt(128) + sqrt(128)).\nAnswer: -12*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 + 0 = 0. Suppose -2*k = k - 2*s - 25, -32 = -4*k + t*s. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 448644.299 to the nearest 10.\nAnswer: 448640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1992, -1, 2.\nAnswer: -1992, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 3*u - 2. Let s be t(-4). Suppose -4*n + 28 = -2*p - s, -4*p = -5*n + 45. Let i(g) = 3*g - 2. Does 12 divide i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eekkegekegykgkkggkge. Give prob of picking 1 e and 1 g.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 5. Let j be w(4). Suppose -5*v = -j*i + 4, i + 4*v = 3 + 4. Solve 0*x - 3*x = i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11295, -22567, -33839, -45111, -56383, -67655?\n\"Answer: -11272*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(14)\/(sqrt(7) + sqrt(252)))**2.\nAnswer: 247\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -48*j + 11. Let d(u) = u**2 - 11*u + 5. Let h be d(10). Is t(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000064633 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 2 - 5)*(-26102 - 2733*g + 26102) to the form h*g + b and give h.\nAnswer: 8199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(27\/12 + -3). Let j(n) be the first derivative of -n**3\/3 - 8*n**2 - n + 10. Let p be j(x). Put -6, 3, p in descending order.\nAnswer: 3, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*c**2 + 18*c + 4*c**4 + 4*c**4 + 2*c + 104*c**2 - 2 - 4*c**4 to x*c + p*c**2 + l + k*c**3 + r*c**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20134417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + j)*(2*j - j - 2*j) + 2548 - 2*j - 30*j**2 - 2548 as z*j**2 + k + s*j and give z.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -24*x**2 + 19*x. Let v(z) = 12*z**2 - 9*z. What is -2*s(u) - 5*v(u)?\nAnswer: -12*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/168 - 1262\/(-14). Calculate the greatest common factor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.848 + -22.348. What is the closest to q in 30, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 10066?\nAnswer: 40264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + s = 6*s + 25, 0 = -3*r + 4*s + 64. Find the common denominator of -38\/21 and ((-124)\/r)\/(486\/(-30)).\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + v - 36 = -17*a, -3*v + 38 = 5*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65126 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b (base 12) in base 13?\nAnswer: 10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.034 - 0.034. Let j = 17.4 - l. Let u = j - -6. Which is the nearest to 0? (a) u (b) 4\/9 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20237 (b) 1\/3323 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3523.83 + -3540. Round r to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 4*s = s - 23, 0 = 4*j - 3*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -185503 - -25?\nAnswer: -185478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/(1\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**6\/30 - o**5\/20 - o**4\/24 - 9*o**2\/2 + 12*o. Let u(p) be the first derivative of k(p). Factor u(i).\nAnswer: i*(i - 1)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 729980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*6\/3 - -2. Suppose o = -k - 0*k - r + 18, 2*k + 5*r - 45 = 0. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 - 6024*v - 2268036 = 0.\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r**2 + 4 - 6 + 2.\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77767485*f*u**2 + 6*f*u + 12032378*f - u**2 wrt u.\nAnswer: 155534970*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 212.624451 rounded to 2 decimal places?\nAnswer: 212.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**6\/2700 - v**5\/225 - v**4\/45 - 2*v**3\/3 - 5*v**2. Let a(l) be the first derivative of h(l). Factor a(w).\nAnswer: -2*(w + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3559132462.\nAnswer: 2, 83, 359, 59723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/95460 and -23\/200?\nAnswer: 954600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2108*i - 636*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(3\/16))\/i**(1\/6))\/(i\/((i**(4\/5)*i*i)\/i))**46)**(-3) assuming i is positive.\nAnswer: i**(-9077\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - -39) + 14 + 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1706 = 4*f - 2*b, 0 = 2*b - 6 + 12. List the prime factors of f.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + y + 45 = 0, -3706 + 3633 = -6*z + 5*y for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 3:20 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 59\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -11013880 > -11013880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 481*z**8\/28 + z**4\/4 + 219*z**2 - 632*z - 1. Find the third derivative of g(x) wrt x.\nAnswer: 115440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 8:07 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + sqrt(576)*4)\/sqrt(2) + 4.\nAnswer: 4 + 49*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2175*l**2*n*t**2 - 24*l**2*n*t + 1870*l*n*t - 2*n*t**2 + 2*t**4 wrt t?\nAnswer: -4350*l**2*n - 4*n + 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 433*p = 438*p - 18, 2*p = 5*w - 61 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -31680, 36.\nAnswer: -31680, -6, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8159171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 71345374 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 6:44 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4191*s**3\/7 + 1441749*s**2\/7 + 15480*s\/7 = 0.\nAnswer: -344, -15\/1397, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 145 and -6.944.\nAnswer: -1006.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, e: 3}. Give prob of sequence deee.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h = -25*h - 28. Suppose 2*a - 2*j + 8 = 16, 3*j + 2 = a. Solve 0*c - h*r = -c - 9, -a*c = -5*r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 20*b + 32. Let w(d) = d**2 + 9*d + 16. Give 4*o(v) - 9*w(v).\nAnswer: -v**2 - v - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56101, 56102, 56103, 56104, 56105?\nAnswer: 56106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -652 divided by -358?\nAnswer: 326\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l**5 + 1022*l**4 - 2360*l**3 - 2594*l**2 + 780*l = 0 for l.\nAnswer: -130, -1, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {j: 2, z: 2, h: 2, v: 7, d: 7}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**4 + 130*a**2*f**2 - 86*f**2 wrt a?\nAnswer: -4*a**3 + 260*a*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 110000111011111?\nAnswer: -110000111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - 1*sqrt(102)*-6)\/((sqrt(6) + sqrt(30)\/sqrt(5))*-6) + -1 + (-3*sqrt(170)*-5)\/sqrt(10) + 5.\nAnswer: 4 + 173*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -421621, -421627, -421637, -421651, -421669, -421691, -421717?\nAnswer: -421747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 746 - 6?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 i when three letters picked without replacement from {i: 5, d: 3, n: 1, w: 5, p: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 289\/11 - 26. Let z = -135\/11 + 1245\/88. Calculate the common denominator of z and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 223*b**3 - 149*b**2 + 2*b. Let h(u) = 669*u**3 - 447*u**2 + 7*u. Let d(v) = 2*h(v) - 7*w(v). What is the third derivative of d(j) wrt j?\nAnswer: -1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**3 - 4*r - 4. Let j(w) = 16*w - 7 + 23*w**3 - 8*w**3 - 16*w**3 - 8*w**3 - 23*w. Determine 11*g(h) - 6*j(h).\nAnswer: -h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135903398?\nAnswer: 2, 67951699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102826035 and 2340?\nAnswer: 411304140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/102103 - -8678611\/14702832. Calculate the common denominator of -65\/36 and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -52. Let s be (2\/(f\/2))\/((-1)\/19). Suppose -s*k = -15*k - 3284. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4 + 11, 2*y - 16 = 2*b. Solve -y*w - 9 = -6*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207882642 minus -565?\nAnswer: 2207883207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 + f**2 + 7. Let l be c(-3). Suppose -94 = -4*i + l. What are the prime factors of i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) -2 (c) 0.5 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*b*u**3 - 30*b*u - 28773747*b - 511*u**3 wrt u.\nAnswer: -90*b*u**2 - 30*b - 1533*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 9681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + -146. Let g = -2 - v. Suppose -4*p = -g - 34. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -11 (c) 78\/5 (d) -32 (e) -3 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -33, 3 in ascending order.\nAnswer: -33, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 525 by 1038.\nAnswer: 175\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 6*q**3 + q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 2*d - 4*d)*(-2 - 7 - 2)*(-1 - 2 + 0)*(-2 - 1 + 1) + (-2*d + 2*d + d)*(1 + 1 - 8) + 3*d - 2*d + 0*d in the form r*d + a and give r.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 203869.63 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/12376?\nAnswer: -3\/12376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*m - 90 = -90 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 3036688704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -1822*o**5\/5 - 241*o**2\/2 - 2116. What is the second derivative of n(l) wrt l?\nAnswer: -21864*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 8*z - 1. Let s be -13 + 9 + (2 - (-1077)\/(-3)). Let b = 367 + s. Calculate l(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*f**4 + 2*f**2 + f - 170?\nAnswer: 876*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 x when four letters picked without replacement from {t: 1, u: 5, z: 1, k: 3, x: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5856829939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = -36. Suppose -5*y + o*y = 65. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + u - 2. Let o be l(-4). Suppose o = 3*g - 5. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d + 5*d**2 + 3*d**2 + 5 + 2*d**2 - 7*d**2. List the prime factors of i(-11).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -297, -474, -705, -1008, -1401, -1902, -2529?\nAnswer: -3300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -11 + 20 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {y: 1, x: 1, d: 2, b: 10}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11694*j + 65 + 3899*j + 3903*j + 3890*j - 125 + 60.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let c(x) = -5*x. Let i(o) = -c(o) + 6*s(o). Let u(h) be the third derivative of 0 + 0*h**4 + 3\/20*h**5 + h**2 + 0*h + 0*h**3. Calculate u(i(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 53675.97 weeks?\nAnswer: 541053777.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + t. Suppose t*y + y = 5. Suppose 25 = 3*v + u, v - 21 = -v - y*u. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by 44.\nAnswer: -43\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l = -3221 + 3101 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/(-37440)*-400*(-3)\/85?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*w**3 + 4*w**3 - 6*w**3)*(5*w - 3*w + 0*w) - 5*w**4 + 3*w**4 + 0*w**4 as s*w**4 + r*w**3 + i*w**2 + f*w + q and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrdrrddrdrdr?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98084 and 119?\nAnswer: 1667428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 6 = 4*y - 3*l, 5*y + l - 2 = 0. Let x(p) = 139*p**2 + p**3 - 1 - 146*p**2 - 7*p + 3. Let h be x(8). Solve y = q, -2*z = -0*z + 5*q - h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 2*j + 1. Let q = 4 + -3. Let h be g(q). Let k(m) = m. Let r be k(1). Is r at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -932*k**2. Let c(s) = -444*s**2. Determine t(c(o)).\nAnswer: -183730752*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 5*u + 3. Let s be c(3). Let h be (-4)\/s + (-1164)\/(-18). Suppose -8902 - 17402 = -822*v. What is the greatest common factor of h and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6*f - 16. Suppose -3*y - y + 67 = u, -60 = -3*y - f*u. Calculate the remainder when 50\/4*y\/20 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157 + -148. Let z = -161 - -97. Let b be 6\/(-2) - -2 - z. What is the highest common factor of m and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8684*b**3*w**3 - 6*b**3*w - b**2 - 7*b*w**3 + 1563*b*w**2 + 5*w**3 + 2*w**2 wrt b.\nAnswer: 52104*b*w**3 - 36*b*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -28. What is the nearest to 1 in -1\/4, -4, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236360 is divided by 127?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n + 12 = 0, 4*m + 3*n + 5 = 0. Sort m, 5, 9 in decreasing order.\nAnswer: 9, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 2 + 2 - (4 + sqrt(19) + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = w + 24. Suppose 5*f - 818 = 2*r, w*f + r + 91 = 584. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (225\/6)\/(9\/6). What is the third derivative of y*h**6 + 68*h**6 - 264*h**2 + 210*h**2 wrt h?\nAnswer: 11160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.025 + 0.475. Let s = 2.5 - -0.5. What is the closest to 1 in 5\/4, q, s?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 - -0.9. Let j = -1.9 - q. What is the second smallest value in j, 4\/7, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1541 + -1539. Factor 0 + 13\/4*q**b - 1\/2*q.\nAnswer: q*(13*q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 2*p = -13, -21 = 3*d + 5*p - 115 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*d - 2 = -h, -7 = -3*h + d. Suppose -7*z + 4*g + 11 = -h*z, 2*g = -8. Let x be (2 - 4)\/(-2 - z). Solve 4 = -x*c - 0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0 (b) -1\/36 (c) 0.1 (d) -0.5 (e) 11\/46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*0*3\/(-6). Suppose -3*b + 2*p + 11027 + 21951 = y, -2*b = 2*p - 21982. Suppose -a - b = -0*a + 4*j, -4*a = 3*j + 43994. Round a to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*o + 25*o - 6*o + 1 as m + u*o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/(-2))\/((-11)\/22). Let o = g - -15. Suppose -5*s + 41 = 4*h - h, -47 = -3*h - o*s. What is the remainder when 31 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o - 32. Let j be y(22). Let c = 326 + j. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673851.\nAnswer: 29, 57719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**4 + d**2 - 1. Let g(r) = -11*r**4 - 5*r**3 + 9*r**2 + 5*r - 7. Let l(y) = -36*a(y) + 4*g(y). Suppose l(o) = 0. What is o?\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 64\/5 of a hour?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 39 = 9. Let k = z + -17. Let l = 10 - 5. Solve 12 = -l*o - k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001267 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 1620*a.\nAnswer: 3*a*(a - 540)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-5))\/((-3)\/10)*4. Solve 5*a - 12 = -0*j - 3*j, 0 = 5*a - j - h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189423121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4541 - 11164. Is (x\/7)\/(-1) - 2\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 5*j**3 - 7*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11) + 3 + 4 + sqrt(99))**2 - (0 + sqrt(22)\/sqrt(2) + -4)) + (-4 + sqrt(1331) + 3 - (sqrt(1331) + -6*2*sqrt(1331)))**2.\nAnswer: -209*sqrt(11) + 191894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -29*v**2 - 866*v + 137. Determine p(-30).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3809526 + 6089538. Suppose 892300 = -4*w - 5*h + 3172320, 4*w + 3*h = d. What is w rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -7*u**8\/4 + 7*u**4\/12 + 61*u**3\/6 + 1508*u. What is the third derivative of f(x) wrt x?\nAnswer: -11760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -y - 2, 3*s = -6*y + 2*y + 27. Suppose -4*m - 3 = t - 22, -s*m - 5*t + 35 = 0. Solve -5*b - 6 - m = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - (-3 - 0)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 0.55559.\nAnswer: -4.44441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 8*t**2 - 10*t - 15. Let o be n(-7). Let c(v) = -10*v**2 + 13*v**2 - o*v**2. Let q(i) = 9*i. Calculate q(c(h)).\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1170)\/36 + (-1)\/1)\/((-24)\/(-48)). Let r(i) = i. Let q(d) = 134*d. Calculate w*r(n) + q(n).\nAnswer: 67*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 g, and 1 d when three letters picked without replacement from {g: 6, d: 3, j: 8}.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 2 - ((-1278)\/117 + 9). Let f = -0.777 + 0.977. Let k(x) = 2*x - 1. Let q be k(1). Which is the biggest value? (a) g (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2074 + 435. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 11) to base 12.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 3\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.022+-528347\nAnswer: -528346.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -2*j - 6, -3*k + 13*j + 5 = 12*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58143*k**5 - 189*k**3 + 306*k**2 - 817*k - 6 wrt k?\nAnswer: -3488580*k**2 - 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4520*y - 350 - 40 + 4522*y to the form f*y + j and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**6\/24 - g**5\/2 + 5*g**4\/8 + 15*g**3 - 675*g**2\/8 - 69*g - 2. Solve l(t) = 0.\nAnswer: -3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27704 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 7650?\nAnswer: 53550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 3*l**2 - 2*l. Let d be k(2). Let z be (d - -10) + 56\/2. List the prime factors of (27\/4)\/(z\/80).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22302628 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 547.97 - 548. Let d = -17 - -35\/2. Which is bigger: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22710 rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.259*3008.\nAnswer: 779.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.49778 + 1.59778. Let u = -2.99 - -3. Which is the closest to j? (a) -0.3 (b) -2\/23 (c) 0.8 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 379 + 19. Factor -128*d**3 - 4*d**5 + 8*d**2 - 24*d**4 - 6 - 24*d + o*d + 22 + 96*d**3.\nAnswer: -4*(d - 1)*(d + 1)**3*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 8*l**2 + 8*l + 17. Let q be (1 + -7)\/(63\/(-42)). Suppose 0 = q*i - n - 33, 4*n - 41 = -3*i - 2. What is the units digit of s(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/432)\/(((-855)\/54)\/(-19))\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (430\/(-172)*(-9)\/(-15))\/((-26)\/4).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 196 from -339688.\nAnswer: -339884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -24. Let j = -9.99999926 - t. Round j to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 473*f**5 - 926*f**3 + 926*f**3 + (0*f**5 - f**5 + 2*f**5)*(3 - 2 + 0).\nAnswer: 474*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(0*b + b - 2*b - 3*b + b - 3*b + b - 4*b + b + (4 - 4 - 2)*(1 - 1 + 2*b)) to the form k + r*b and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (sqrt(1331) + -2 - sqrt(1331))) + 4)**2 - sqrt(1331)*-1*4.\nAnswer: 176*sqrt(11) + 1367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 17 = 5*x, -2*p = -x + 2 + 5. Let o be p\/(-12) + (-11)\/(-4). Let i = 8 - o. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55439978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2637 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 11*t**2. Let a(f) = 43*f**2. Calculate a(o(s)).\nAnswer: 5203*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97*o**3*s**3 + 32*o**3 - 1876784*o**2*s**2 - 2*o**2 + o - 648632 with respect to s.\nAnswer: 291*o**3*s**2 - 3753568*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 11*z + 3. Let i be l(11). Solve i*a = -a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 0 + 4 - 3*i**2 + 2*i**2 - 3*i + i. Calculate r(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790836 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 2\/15, -12, 1\/5, -1 in decreasing order.\nAnswer: 2\/5, 1\/5, 2\/15, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356 - (-13)\/(-26)*(1 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 62640?\nAnswer: -62643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 - 5*k**2 - 3*k - 2. Calculate d(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - (sqrt(66) - ((sqrt(66) - sqrt(66)*1)*-6 + sqrt(66) + sqrt(66))) - sqrt(66)) + sqrt(66))\/sqrt(384))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (5 - 12) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.15 + -1.25. Let b = 5 - 4.92. Let y = b + 2.92. What is the third smallest value in -1\/3, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -636 divided by 318\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4248538 is divided by 1037?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1024 and 4736.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 24*t - t - 1536. Solve -t = -17*m + 5*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52\/16)\/(8\/32)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let z(u) = -u**3 + 17*u**2 - 28*u - 16. Let g be z(15). Suppose -f + 8 - g = 0. Calculate v(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 87 = -f. Solve 0 = 7*h + 4 + f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -v - 4*l + 41, -4*l = -3*v + 110. Suppose m - n = 3*m - 93, 18 = -2*n - 0. What is the highest common divisor of m and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27413, -27407, -27401?\n\"Answer: 6*i - 27419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7 - d**2 - 2*d + 12*d + d. Calculate the remainder when 48 is divided by j(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.718714 centuries to years.\nAnswer: 71.8714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 4*v**2 + 8*v + 18. Let p = 4 + 2. Let f be l(p). Let u be (-4)\/f - 1\/(-3). Is 1\/63 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*56\/(-15) + 4. Let t = 1372 - 1380. Which is smaller: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mviifyg. What is prob of picking 1 g, 1 f, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqnliqqlnn. Give prob of picking 1 q and 1 l.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*y**2 - 14981 + 14981 + 4*y.\nAnswer: -35*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = b - 6*b. Let t = -21 - -20.5. Sort t, b, -1\/4 in descending order.\nAnswer: -1\/4, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1. Let v(i) = i. Let g(f) = 5*d(f) - v(f). Let l be g(-7). Let y = -13 + 18. Solve 5*u - 14 = -2*b, 6 = -l*u + y*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062773 is divided by 46.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/4987?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w - 43*w = -2350. Suppose 0 = o + 10*x - 5*x - 592, 0 = 2*o + x - w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 greater than or equal to 18618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000049791 to six decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/32 and 77\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 6:29 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -493496 and 0.2.\nAnswer: -493495.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (26 + (-16 - 8)) - (-1 + 20)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/17, 3, -5, 0.2, 2\/37, 4192?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1608.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18102?\nAnswer: 2, 3, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7544.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 127155863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-5)\/30)\/((-152)\/(-57)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 242 (base 9) to base 14\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2194985\/17 + -129176. Let n = 59 + k. Is n at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*a = -125852 + 127280 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 199.56.\nAnswer: 195.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-72))\/((-2)\/(-12))*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -91 - 174?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/49, 12, -1, -2\/13 in decreasing order.\nAnswer: 12, -2\/49, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*j + 27*j + 16. What is the biggest value in j, 3, -0.3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 22*z = 48. Suppose 0 = -m - 88 + 426. Suppose z*s = 14*s + m. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.6 (c) -2\/9 (d) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 3*h**3 + 0*h**3 - 2*h**3 + 0*h**2 + 0*h**2 + 2*h**3 + 0 + 0 + (-2*h**2 - 1 + 1)*(1 - 4*h - 1) + (3*h - 3*h + 4*h)*(3*h**2 - 2*h**2 - 2*h**2).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -462*l**2 - 20572*l**2 - 30 - 21467*l**2 - 5*l + 22*l. Let m be c(2). Round m to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1639540 and 16730?\nAnswer: 1639540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4. Let z = 13 + g. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.13 (b) -0.2 (c) -910\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -31.483, -1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3299*b - 2324*b + 1027*b + 152*b to x + p*b and give p.\nAnswer: -4444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1527703?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -19, 15, 105, 269, 525?\n\"Answer: 3*w**3 + w**2 - 28*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from {g: 2, c: 2, z: 2, x: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 136*b**2 - 27. Let i(c) = c - 5. Determine i(m(l)).\nAnswer: 136*l**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -10. Let a = -1.9 + 2. What is the third smallest value in g, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1620)\/(-52) - 31\/1\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + z + 84 = 0. Suppose 4*y - 9*d = -4*d + 79, -5*y + z*d + 110 = 0. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, l: 1, n: 2, v: 1, c: 1, z: 1}. Give prob of picking 4 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.59 + 1. Let t = 216.2 - 217.11. Let a = t + h. Sort 3, -1, a.\nAnswer: -1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + g + 6. What is the smallest common multiple of -1 - (-23)\/(-1)*-1 and m(0)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 33*s**2. Let l(f) = 40*f. What is j(l(n))?\nAnswer: 52800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7763 - 7698) + (1 - -1) + -12\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*y, 5*l - 10*y - 27 = -13*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agogoboo. Give prob of picking 1 b and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*i + 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-51)\/9 - -7)*876\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208287883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11942*s + 1226*s + 94744*s + 19161*s.\nAnswer: 127073*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*n - 68, -5*i - 2*n - 141 + 0 = 0. Let j = -20 - i. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(931) + 1)**2 + -4 - (1 + sqrt(931) + -1 + sqrt(931)) - (sqrt(931) - (-4 + -1 + sqrt(931)))*-6)*3)*-1.\nAnswer: -2872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/1890)\/(12\/63)*12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 46\/11 and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 981*p + 434668. What is o(-443)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 27, 0 in decreasing order.\nAnswer: 27, 15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gllllllgllllgllgll?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = -0. Suppose -5*m + 5 = 0, -k*m = 5*y - 4*y - 14. Calculate the remainder when 21 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139976724 divided by 613933?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 218573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. Suppose -47 = 4*r - 4*s - 119, 0 = -y*r - 5*s + 50. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1584 (base 11) to base 15.\nAnswer: -903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/15)*d)\/d**(3\/4))\/(d**(1\/6)\/d*d*d**(1\/5))*(d*(d**(-1)\/d)\/d)**(-36)*d**(-1\/3)*d*d*d\/(d**6*d*d) assuming d is positive.\nAnswer: d**(4001\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -22, -60, -102?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/11, -1\/28, -2\/5, 5 in ascending order.\nAnswer: -2\/5, -1\/28, 9\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 3417*c**2\/4 + 1283*c\/2 + 855\/4.\nAnswer: -(c - 1)*(c + 855)*(4*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 + 10*x + 5. Let r be h(-4). Let f = -25 + r. Let g = f - -20. Calculate the highest common factor of 64 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 11*o**2 + 14*o - 11. Let v be s(10). Suppose 10*n + v = 3*w + 5*n, 3*w = -n + 23. Suppose w*g - 9*g + 2 = 0. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = w - 2, -b + 4*b - 18 = 3*w. Let l be (-270)\/(-72) - (-6)\/(-8). Sort -2, b, l in descending order.\nAnswer: l, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/19 and -67\/3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 487220, 487209, 487196, 487181, 487164, 487145, 487124?\n\"Answer: -f**2 - 8*f + 487229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 13674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 2*m + 149. Is n(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26 - -1*(1 + 0). Find the first derivative of z - 24 + 2*u**2 - 3*u**2 wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*4\/(-36)*27. Suppose 3*v + 3*o - 156 = 0, 5*o + 16 = -f. What are the prime factors of v?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1 (b) -0.3 (c) 2 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/14 and -61\/321366.\nAnswer: 2249562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -19*f**3 + 188*f**2 + 30*f + 19. Let w be d(10). Solve 8*z + 9*z - w = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2442\/84 - (-19)\/(-266). Is y not equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 1. Let k be -1*((-188)\/(-28) + (-8)\/(-28)). Let n(z) = 3*z - 3. Give k*g(s) + 2*n(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 14230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1439536 to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -357040, -357057, -357086, -357127?\n\"Answer: -6*z**2 + z - 357035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22659 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c. Let g be (15 + -1)*(36\/(-8) + 5). Let o(f) = -g + 7 - 8*f. What is r(o(y))?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44648190 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1644\/154*22\/99. Let d = -3\/77 + b. What is the common denominator of d and 89\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-y + 4*y - 2*y) + 3*y + 0*y - y + (358*y + 282 - 282)*(-1 + 4 - 5) + (2 - 4 + 3)*(2 - 2 + 2*y).\nAnswer: -710*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -111*h**2 + 5963*h - 70. What is l(53)?\nAnswer: 4170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189287?\nAnswer: 7, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4082463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -959 + 212*z**2 - 3*z - 433*z**2 + 212*z**2 with respect to z.\nAnswer: -18*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54888*j**5 - 20617*j**2 wrt j?\nAnswer: 3293280*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by ((-12)\/(-15))\/(756\/150 + -5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 291*o**2 - 417*o**2 + 416*o**2 + 150*o**2 to i + j*o**2 + c*o and give j.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j + 11. Let v(t) = 12*t + 24. What is 13*p(r) - 6*v(r)?\nAnswer: -7*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 6 = -2*g. Suppose 13 = -2*j + g*j. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/15 and 4\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -245700 divided by 105?\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 1. Let q(j) = -176*j**2 + 264*j - 264. Calculate -264*o(n) + q(n).\nAnswer: -176*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > -17664946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-29)\/t*t*(t\/(t**(-2)*t))\/t*(t**(-2\/29)*t)\/(t\/(t*t**(-3))))**35 assuming t is positive.\nAnswer: t**(-30520\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**3\/9 + 2932*k**2\/3 + 2149156*k\/3 + 1575331348\/9 = 0. Calculate k.\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101011 (base 2) to base 3.\nAnswer: 200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 267559 + -5?\nAnswer: 267554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 7*u - 12*u. Let r(c) = 2*c + 4 + 4 + 6*c + 40*c**2 - 38*c**u. What is the tens digit of r(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 2 + 9. Solve -g = -2*w - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14110338 to the nearest integer?\nAnswer: 3756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16304909?\nAnswer: 421, 38729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2955*h + 2930*h + 2940*h + 181*h**2 - 8802*h.\nAnswer: 181*h**2 + 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3+2323.5\nAnswer: 2320.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10434403 - 11?\nAnswer: -10434414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3151\/22253 - -4\/3179. What is the fourth smallest value in 21, 56, m, 2\/11?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -911671.617 and -0.2?\nAnswer: 911671.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3049, 6099, 9151, 12205, 15261, 18319?\n\"Answer: u**2 + 3047*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(120)*5)\/sqrt(4))\/((sqrt(10) + 2*sqrt(10))*-1 + 1*sqrt(1440) + sqrt(1440) + sqrt(1440)))**2.\nAnswer: 400\/363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*f**2 + 0 + 5 + f**2 wrt f?\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9061008 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -427 + 432. Let l(d) = -11*d**2 + 2*d. Let j(v) = 21*v**2 - 5*v. Determine w*l(z) + 2*j(z).\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18711 - 107394 = -7*r. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -107562808\nAnswer: -215125616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 41, 15 in descending order.\nAnswer: 41, 15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l = 22 - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3743 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 + 34847*g**3 - 143.\nAnswer: 34847*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 38 + 40 = 0, -f = -4*w - 2 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46175 and 319531?\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -262 - -380. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-1 + -3 - -3). Suppose 3*v - 8*v + 15 = k. Let t(c) = -c + 3. Let l be t(3). Solve -w + v + 2 = l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 - -0.3. Let z = l - -0.05. What is the second smallest value in z, 1\/2, -2\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10877229 rounded to the nearest 10000?\nAnswer: -10880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - 1849765347?\nAnswer: -1849765374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-10)\/(-34)) + 1. Let j be 4\/u*0 + 2. Suppose 13 = j*q + 3. Which is the biggest value? (a) -2 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*p, s - 4*p + 0 = -6. Let x be (-20)\/(-6) + s\/9. Solve x*n = 5*j - 17, 3*j + 3*n - 9 = 5*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9933 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42a4 (base 12) to base 15.\nAnswer: -2284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 - x + 270 - 611.\nAnswer: -x - 447","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -24c77?\nAnswer: -24c7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1 - 7 = 0. Let q = 13 - 9. Let w(p) = -q*p**u + 7*p**2 + 2*p**2 - 4*p**2. Let r(x) = 7*x. Calculate w(r(b)).\nAnswer: 49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 - (4 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = c + 306 + 324, -n = 5*c - 126. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 35*i**3\/6 + i**2 - 6*i. Is 7 a factor of w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94038?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2425 + 2425 - 169*i**3 - i**3 - i**2 + i**2 + (-i**2 - 4*i**2 + 0*i**2)*(-5*i + 3*i + 4*i) in the form d*i**2 + o*i**3 + s + u*i and give o.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -845*h - 625. Let c(n) = 16*n + 12. Let f(z) = 105*c(z) + 2*r(z). Let o = 7 - 16. What are the prime factors of f(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*i + 38, 4*m - 3*i = -7*i + 136. What is the units digit of 8\/24 - m\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**6 + m**2 + 2*m. Let g(c) = 11*c**6 + 5*c**3 - 3*c. Let j(q) = -g(q) - 3*w(q). What is the third derivative of j(h) wrt h?\nAnswer: -1680*h**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -209, -417, -625, -833?\n\"Answer: -208*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 29. Let r = -5 + 1. Suppose 0 = -m + 6*u - u + 10, 3*u + 6 = m. Sort m, a, r in descending order.\nAnswer: a, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 166747, 166724, 166717, 166732, 166775, 166852, 166969, 167132?\n\"Answer: w**3 + 2*w**2 - 36*w + 166780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 - 92*w + 4667. Determine z(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2737*l - 1965*l - 29469 = 3445 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 + -83. Calculate the remainder when ((-10)\/(-8))\/(2\/8) is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t + 1. What is the remainder when ((-100)\/8)\/((-4)\/8) is divided by a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**(-36)*(g*g**9)\/(g**(2\/21)\/g))**39 assuming g is positive.\nAnswer: g**(-6851\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Suppose -b*g = -0*g - 512. Suppose -g = -n - 3*n. Calculate the highest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2769*s = 2779*s + 220 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1583, -6119, -13617, -24077, -37499?\n\"Answer: -1481*d**2 - 93*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**3 + 50185*b**2 + 4585280*b + 105218100 = 0.\nAnswer: -9945, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1156)\/(-51) + 2\/(-3). Let k = -18 + m. Suppose 4*w = -k*u + 8, u - 4*u - 26 = -5*w. Solve -5*b = -3*b + w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 7*r + 2. Let b be p(-7). Let t(q) = b*q**2 + 10 - 5 - 3*q + q**3 + 6*q. Is t(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 599 + 2161 = 40*v. Is 41 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(27911\/285 - 96).\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1521954, 1521964, 1521984, 1522014, 1522054, 1522104?\n\"Answer: 5*o**2 - 5*o + 1521954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34814, -32786, -30758, -28730, -26702?\n\"Answer: 2028*f - 36842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 11*a**2 - 1879. Let w(b) = -51*b - 1. What is y(w(v))?\nAnswer: -1122*v - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(105)\/sqrt(3) - -6*((sqrt(105)\/sqrt(3) - sqrt(35)) + sqrt(35)))\/((sqrt(84) - (sqrt(84) + sqrt(84)*-2*2))\/sqrt(12)))**2.\nAnswer: 20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329 = -9*x + 383 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 967017133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-1)*b))\/b)**42\/(b\/b**(-3\/2)*b\/(b\/(b\/b**(-2)))*b*b*b*b))**48 assuming b is positive.\nAnswer: b**(-456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/13 - 4011714*k\/13 - 2005856\/13.\nAnswer: -2*(k + 1002928)*(2*k + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -2*n - 2, -4*v + 1216*n - 1217*n = -10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -288580668, -288580669, -288580670?\n\"Answer: -q - 288580667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-7))\/a)\/(((a\/(a\/a**(3\/19)*a*a))\/a)\/a))**(-21))**(1\/49) assuming a is positive.\nAnswer: a**(180\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 45*m + 48*m - 35, 0 = 2*l - m + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.9 + -29. What is the nearest to f in -0.1, -2, -4\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + 50. Let s be (d\/3 + -4)*-36. Find the first derivative of -9 + 25*y**2 + s*y**2 - 34*y**2 wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 12?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39191086709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 7:07 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 5, -427, 0, -3, -19 in increasing order.\nAnswer: -427, -19, -3, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1272, 1341, 1406, 1467, 1524, 1577, 1626?\n\"Answer: -2*v**2 + 75*v + 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 17*n = -14*n - 9, 3*h - 2*n - 13 = 0. What is the highest common factor of 47 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 847317150?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*u + 5*k, 2*u + 4*k = -3*u + 21 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 290*k = 286*k + 8, -5*r + 29 = 3*k. Let t be 18\/4 + (-1)\/(-2). What is the second biggest value in -1, -0.7, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**7\/280 - v**6\/60 + 4*v**3\/3 - 2. Let m(o) be the third derivative of h(o). Solve m(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 198 = 26*d. Let h = d - -37. What is the remainder when 73 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 3, 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3660*y = 18123*y - 221300 - 1369630 for y.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29479 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/1248)\/(5*1\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r**3 + r**2 + r**4 - 2*r**2 - 1 + r**3 - 6*r**3 in the form g*r + u*r**3 + j*r**2 + d + n*r**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2 (b) 2\/7 (c) 1 (d) 0.27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5525531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 400*p**2 + 1924*p + 2280.\nAnswer: 4*(p + 2)*(p + 3)*(p + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 598 divided by -1\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1247 at most -7.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/10 - 2\/(-10). Suppose 4*n = p*z - 39, n = -3*z - 6 - 0. Calculate the remainder when 26 is divided by -42*-1*(-3)\/n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540860165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -u - 6. Which is greater: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 5\/4, 1, 28, 2\/19, 4, 6 in descending order.\nAnswer: 28, 6, 4, 5\/2, 5\/4, 1, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 21*j**2 + 20*j + 33. Give s(-17).\nAnswer: 849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i. Let u(d) be the second derivative of d**5\/30 + 2*d**2 - d. Let r(f) be the first derivative of u(f). Determine r(b(c)).\nAnswer: 242*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 41155?\nAnswer: -41150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-14) - ((-19)\/7 + 3). Solve 2*s = 3*h - 4, -2*h - 3*s + 4 + 3 = p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65931578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 5820.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19038206*u + 37380834 wrt u.\nAnswer: -19038206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 780*g**3 + 27*g**2 - 366903 with respect to g.\nAnswer: 2340*g**2 + 54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7564\/(-8))\/(8\/19). Let g = 2247 + d. Calculate the common denominator of -59\/8 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*d**4 + 0 - 16\/3*d - 8*d**2 - 3*d**3 = 0. What is d?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + 0*w - 2*w + 2*w - 2*w + 2*w - w - 24 + 24 + (5 - 2 - 1)*(0 + 0 - 3*w) + 3 - 3 - 2*w + 0 - 5*w + 0.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20823, 20424, 20025, 19626, 19227, 18828?\n\"Answer: -399*y + 21222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.06, 3, 2, 18251, -1\/4, -4.\nAnswer: -4, -1\/4, 2, 3, 4.06, 18251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23958788257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 372*k**2 + 2*k. Does 17 divide z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 2*n**5\/25 + 2*n**4\/5 - 2*n**3\/3 + 38. Factor h(i).\nAnswer: 2*i**2*(i - 1)*(i + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -22*v + 1. Suppose -p + 25 = -5*a + 9, 4*a + 5*p + 7 = 0. Let g = a + 2. Is t(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 99?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 + -99.896. Let v = -0.1040315 + q. What is v rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 174*j**3 + j**2 + 2*j + 1. Suppose a + 1 = -0*a. Let n be m(a). Find the common denominator of (20\/105)\/(4\/n) and -16\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 35, 80, 147, 242, 371, 540, 755?\nAnswer: 1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135*k**3 + 3*k**5 - 2*k**5 + 2*k**2 - k**2 + 130*k**3 + 35*k wrt k?\nAnswer: 60*k**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7410)\/(-3325) - 9\/5\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l**2 + l + 1. Let d be q(-1). Suppose 135 - 411 = -d*i. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-21)*(-36)\/(-2). Let n be (1 + -15)*r\/14. What is the common denominator of -61\/18 and (-1)\/(-4)*164\/n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(195\/50 - 4). Factor 33*f + 18 + 15*f**3 - 71*f**3 - 19*f**3 - x*f**2.\nAnswer: -(3*f - 2)*(5*f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11239112 and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 8 = -2*u + 22, -3*n + 76 = 5*u. Let g be u\/(-42) + (-7)\/(-3). Solve 0 = -5*b, -g + 7 = z - 3*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6275041?\nAnswer: 53, 197, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - w = -40, 70 = 5*y + 98431*w - 98426*w for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5b9 - 359f?\nAnswer: -3b58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3976 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/200*25)\/((-4)\/88)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32.8 in 652, 4, 2\/7, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -3822*p**3 + 4861*p**2\/2 - 3529. What is the second derivative of g(q) wrt q?\nAnswer: -22932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + ((0 - -22) + -36 - -5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -168 - 37230?\nAnswer: -37408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -517*q = -512*q + 4*d - 504, 186 = 2*q - d. Calculate the remainder when 425 is divided by q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 0*k**3 - 47*k**4 - 2*k**3 + 45*k**4 + 0*k**2 in the form z + f*k + o*k**2 + q*k**4 + h*k**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 46648.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, e: 3, v: 2}. Give prob of sequence nnnn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, 0.21, 177, -121, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00128458 to 6 decimal places.\nAnswer: 0.001285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 12 + 12 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 214\/76*-44*73\/(-1606)?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 6*h + 4*q + 58 = 0, 24 = h + q. Let y be (2\/(-4))\/(h\/88). What is the third biggest value in 3, y, 11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322729 times 1.12?\nAnswer: 361456.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1504 divided by -4\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 515791 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 7*l**2 + 6*l + 5. Let b be q(-6). Suppose 0*f = b*f. Suppose f = n - 20 - 2. Calculate the highest common divisor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, 5, -4 in decreasing order.\nAnswer: 7, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*t - 120 = 0, 2*g + g = -2*t + 129. Suppose 3*p = 3*y + g, 3*y = 3*p + 6*y - 75. Suppose -5*z = -z - p. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4982047 + -197736.7.\nAnswer: -5179783.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 8 = p - 12*x, 4*x + 20 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 bigger than 694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1301298067400 and -0.17.\nAnswer: -1301298067400.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 666 and 200170?\nAnswer: 1801530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 46201 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16532, 32925, 49330, 65753, 82200, 98677, 115190?\n\"Answer: d**3 + 16386*d + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 2*b + 2*b)*(8*b - b - b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 378\/3*1053\/3159?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 4. Let q(t) = -7*t. Calculate m(q(j)).\nAnswer: 7*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 3 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 3, 96\/5, 0.2, 6.\nAnswer: 0, 0.2, 3, 5, 6, 96\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5 = 5*u, 21*u - 4*i = 17*u - 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 3*z - 4*z)*(0*z + 2*z - z)*(13 - 12 + 15).\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b + 36*b + 2096 - 545 = 0. Which is smaller: b or 522?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 375, -1\/8, 8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 590\/8*1 - 19\/(-76). Let t be (-14 - -10)*(-37)\/2. Is t <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/13 < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*d + 59 = 0, -h - d = -0*d - 13. Suppose 15 = -q, -q - 80 - 108 + 13 = -2*n. What is the remainder when n is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1370293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -10548.4 to the nearest 10.\nAnswer: -10550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 50*y - 2563. What is the smallest common multiple of 462 and i(33)?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 9. Let m(w) = -w**2 - 5*w + 3. Let u be m(-5). Suppose -5*j - u*q = -0 + 2, -4*q = -j + 18. Solve 5*x = 4*g + 14, 3*x - v = -g - j*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/((-99)\/24)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 524658816888 - 5.\nAnswer: 524658816883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87 (base 11) to base 15.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*q + 2\/3*q**2 - 4\/3.\nAnswer: 2*(q - 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 542 + 1042 = 0. Calculate the greatest common factor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -i - j, 2*i - 41 - 61 = -j. Let z(d) = -d**2 - 13*d + 5. Calculate the remainder when i is divided by z(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17\/2, 0.17, 3 in increasing order.\nAnswer: -1, 0.17, 3, 17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:20 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1506)\/32379)\/(4\/(-86))*11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522701 = 41*t + 134437 - 501641. Is t a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 + 16*v**2 - 13*v - 1. Let f be g(7). What is the remainder when 13 is divided by ((-4)\/f)\/(20\/(-180))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 103 = 4*w, -4*w - 109 - 228 = 38*c - 571 + 96 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.7 and 4.\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 0\/(4\/(-4)). Let c be 48\/(-20) - (-2 - a). Sort c, 1\/5, -1 in increasing order.\nAnswer: -1, c, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 3*l**2 - 77*l + 6. Let u be q(7). Solve -385 = u*i - 337 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 4*r - 2*h - 31, 3*h = 3*r - 21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, -200805, 2, -3.\nAnswer: -200805, -3, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 99185, 99177, 99157, 99119, 99057, 98965, 98837, 98667?\n\"Answer: -u**3 - u + 99187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-4 + -3 + 2). Let b be (23\/(-2))\/(4 - (-18)\/(-4)). Suppose -3*n = -b*n - 120. Do n and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 18060 = 5*u + 5*x, 20 = 5*x. What is u rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -2357*j**5\/20 + 4577*j**3\/6 - 794*j. What is the second derivative of s(v) wrt v?\nAnswer: -14142*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/7)*d**(3\/10)\/d)**(-1\/50)\/(((d**6\/d)\/(d**(-3\/10)*d))\/((d*d**(-8\/5)*d)\/d*d\/((d*d*d*d**3*d)\/d))) assuming d is positive.\nAnswer: d**(-34591\/3500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, 0.4, -288, -0.4.\nAnswer: -288, -0.4, -0.1, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 11, -2 in increasing order.\nAnswer: -2, 2, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -57, -62, -67, -72, -77?\n\"Answer: -5*r - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1053574249 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1560 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 l when three letters picked without replacement from bkuozkbuklb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13.30019*-0.1\nAnswer: 1.330019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70915585*b**5 + 4*b**2 + 68*b - 24582.\nAnswer: 4254935100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45061, -90121, -135181, -180241, -225301, -270361?\n\"Answer: -45060*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-168))\/(((-2)\/3)\/(-2))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -2, -1\/6, 2, 1305.47, -0.5, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120 - 124 - (1 + -1 + 3) - 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*x**4 + 40*x**4 - 20*x**4 + (-8*x + 9*x - 2 - 4*x)*(14*x**3 + 12*x**3 - 9*x**3).\nAnswer: -8*x**4 - 34*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 599 + -565. What is the remainder when a is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(0*g + 0*g - 2*g)*(4 + 6 - 5)*(0 + 3 - 5 + (-6 - 4 - 8)*(-2 + 1 + 2)).\nAnswer: -400*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-16)*h*h)\/h**(-2\/21))\/((h**8\/h)\/h**21) assuming h is positive.\nAnswer: h**(695\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 6*s + 9. Let z = s + 17. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 13 = -2*u + 30, -2*u + 78 = 2*i. Let g = i + -21. Suppose 6 + 0 = 2*l, 4*x + 4*l = 156. What is the least common multiple of x and g?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.7322521 - -604.96.\nAnswer: 611.6922521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than 0.6326318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(13\/(-5) - -3). Let o(n) = -n**3 - 5*n**2 - 2*n - 4. Let u be o(-5). Let c = u - 6. Put c, g, -3 in ascending order.\nAnswer: -3, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*j**5 + j**5 - 3*j**5 - j**3 + 2*j**5 + j**3 + (0*j - 2*j**3 + 0*j)*(-2*j**2 - 4*j + 4*j) + 2*j + 42*j**4 + j**5 - 42*j**4.\nAnswer: -2*j**5 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1842.863 + -1842. Let f = x - 0.053. What is f rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 4991*d - 3732700.\nAnswer: -(d + 916)*(d + 4075)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 34*z + 7. Let x(a) = 38*a + 8. What is 6*x(r) - 7*y(r)?\nAnswer: -10*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 234727150.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9640 divided by 2410.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 - -322831764.\nAnswer: 322831843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -17.5. Let y = 2.5 + c. What is the nearest to 0 in -1, 1\/3, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -117, -199 in descending order.\nAnswer: 60, -117, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r + 34. Let z be s(-16). Calculate the common denominator of 15\/8 and -163*z\/(-8) - (-120)\/160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 192817 - -1?\nAnswer: 192818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/18 and 157\/66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 4*m**2 - 32*m + 17. Give o(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -383.71 + -26.19. Let g = -428 - w. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**3 + 4*t**2 - t + 10. Let n(u) = -u**3 - u + 1. Let b(v) = -5*n(v) + q(v). Suppose 28*h + 0*h = 146 - 6. Calculate b(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-6)*16\/(-12) - -6. Suppose 2*s + 2*j + 8 = 7*j, -3*j = -12. Suppose x*w - f = 540, -s = 3*f + 6. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13 - 2*s - 13 - 17*s**2 + 0*s wrt s?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 1\/12*c**4 - 1\/20*c**5 - 5*c**2 - 132*c + 0 + 0*c**3. Give j(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/14927 and -40\/14927.\nAnswer: 14927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4432\/68911 or 1?\nAnswer: -4432\/68911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**6\/120 - x**5\/16 - x**4\/24 + x**3\/3 + 26*x - 1. Let a(y) = 0. What is y?\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*b + 30, v - 7 = 6*b - 8*b. Suppose 5*j = -0*j. Suppose j*a + 3 = a. Solve -a*k - 10 = -b*r, 2*k - r - 6 = -4*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 + 65 - (12 - -5)) + (-10 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 26*m - 828. Calculate z(36).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 7)*-1*249\/(-664).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 150*u - 2013.\nAnswer: 3*(u - 11)*(u + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 p when four letters picked without replacement from dpopouppddo?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 37*j - 65. What is the remainder when y(7) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 9*c**2 + c + 8. Let n be q(-9). Let x = -290 + 152. Let l = 143 + x. Put 4, n, l in increasing order.\nAnswer: n, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppwpgppwwgpppewep. Give prob of picking 2 w and 2 g.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15519405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**2\/2 + 22*r - 17. What are the prime factors of k(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5)\/j*j)\/(j**4*j)*j**(-3)\/(j**(-6)\/j))**24 assuming j is positive.\nAnswer: j**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4241, 8482, 12723?\n\"Answer: 4241*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23395 and 32753?\nAnswer: 163765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 110 - 67 = -42 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 106\/5, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - i + 1 = 0, -k + i = 2*i - 7. Suppose -b = d - 8, 8*b - 5*b - 12 = -d. Calculate the remainder when d is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6802*l**2 - 20202*l**2 + 6849*l**2 + 6476*l**2.\nAnswer: -75*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iehvudivuhdi. Give prob of picking 1 u and 1 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 0*p + 263 - 138 - 7*p + 13*p - 149. Let k(a) be the second derivative of -a**3\/6 - 2*a. Let n(q) = -c(q) + 3*k(q). Differentiate n(g) wrt g.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 3*s + s)*(-6 + 1 + 4)*(-1 + 3 + 0).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 12 = -2*d, i + 2*d - 13 = 4*d. Suppose -4*k - 8 = -5*w + 19, -5*k = i*w. Let j = 7 + k. Solve j = -b - 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 7*r**2 - 7*r + 5. What is w(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51351924 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 821 - 821.3. Which is the smallest value? (a) -3 (b) 429\/4 (c) u (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + 29 + 53 + 70 + -129.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*g - 5, -4*g + 2*j - 3*j + 13 = 0. Let t = g + 4. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1662 + 1648 + 1658 - 84*o - 6615 + 1647.\nAnswer: -84*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39630 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, 60, 218, 522, 1020?\n\"Answer: 8*n**3 + n**2 + n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -8, -4, 3, 36, 2 in ascending order.\nAnswer: -8, -4, 2, 3, 10, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19\/(1*(-2)\/(-4)) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30864, -61534, -92204, -122874?\nAnswer: -153544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 9:02 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/(-140) - 72\/(-28). Solve l*v = 4*v + 3*j - 2, 4*j - 2 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9819010 or 9819008?\nAnswer: 9819008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -bb2 (base 13) to base 2\nAnswer: -11111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11136\/13*u + 698\/13*u**3 - 5580\/13*u**2 + 64\/13 = 0.\nAnswer: -2\/349, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 812061.922 to the nearest one hundred.\nAnswer: 812100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -44*(-47)\/(-9212)*14?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 17 + (21 - 35) + -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234431201001 - 2?\nAnswer: -234431201003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2)*1\/3. Let g = 0.9 - 0.7. Which is the third biggest value? (a) -0.2 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + (21 + -25 - 13)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -229 + 24. Is (-1 - o) + -3 + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -512, -493, -476, -461?\n\"Answer: -u**2 + 22*u - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 8 + (0 - 1 + 0)*(-1 + 0 + 2) + 3 - 4 - 4)*(-5 + 1 + 5)*(-p - 4*p + p)*(3 - 6 + 2).\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -72*v**2. Let f be b(2). Let l be f + 1 - (5 + -2). What is l rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-3 - -1) - ((-12 - 3) + 31)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from wyyyywwwwwgww?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*s + 13, i + 8 + 3 = 3*s. Let v(d) = -3*d - s*d + 0*d + 10*d. Let r(n) = 2*n**2. Give v(r(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1711751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88674.29 tonnes in micrograms?\nAnswer: 88674290000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (10 - ((0 - (-7 + 15)) + 15))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b565 (base 15) in base 2?\nAnswer: 10101101110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/272 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - f**2 - f + 1. Let u be x(-2). Let y(t) = t**3 - 7*t**2 - t + 7. Give y(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 44882, 89765, 134648?\n\"Answer: 44883*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 37*w**2 + 234*w - 4194. What is f(34)?\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -80*k. Let m(d) = -2*d + 682. Determine s(m(q)).\nAnswer: 160*q - 54560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 160 = -6*d + d, -4*d - k + 138 = 0. Suppose 2*w + 0*h - d = 4*h, -5*h + 3 = 4*w. What is the remainder when 13 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, p: 1, q: 4, s: 1, k: 6}. Give prob of picking 2 e, 1 q, and 1 p.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -23*n**5\/3 - 1037*n**4\/3 - 14971*n**3\/3 - 73123*n**2\/3 - 21402*n - 1680 = 0.\nAnswer: -21, -15, -8, -1, -2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r\/(r*r\/r**(-10)))*r*r**(1\/63)*r assuming r is positive.\nAnswer: r**(820\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 5*w**2 - 14*w - 69. Let m be 782\/(-184) + 6\/(-8). Give g(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 9*w**2 - w + 13. Let p be x(9). Suppose -q - 4*q = -155. Let c = q - 31. Solve c = 2*i - p*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8755 to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*j**3*u**2 - 62*j**3 + 101*j**2*u**2 - u**2 - 47*u wrt u?\nAnswer: -48*j**3 + 202*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.4. Let h = 0.1 - -3.03. Let y = 0.13 - h. Which is the smallest value? (a) y (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgg when three letters picked without replacement from {l: 7, g: 11, j: 1}?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 205.6169 micrograms?\nAnswer: 0.2056169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Suppose r*j - 25 = -3*y, j = 3*y + 6*j - 31. Let z(g) = 2*g**2 - g - 6. Is z(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 1337 = -35*l + 544 - 45 for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*12089\/7623 - (-3 + (-216)\/(-88))?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 2*t - 43746*t**3 + 43595*t**3 + t.\nAnswer: -151*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37022959 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, 4\/103, -0.02, -4, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -1, -1\/6, -3\/11308, -2, -4, 2\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 251972, 251966, 251960, 251954?\n\"Answer: -6*q + 251978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*l - 53399 + 8849 = -756*l for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -725*v + 368*v + 362*v + 2 to h*v + j and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6}. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -0.08 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*j - 2 - 56, 0 = 3*j + 3*s - 30. Suppose 3*g = z - 11, 4*z - 14 = 4*g + j. Let v = z + -4. Which is the closest to v? (a) -3 (b) -5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkrbekbcr. What is prob of picking 1 v and 1 k?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31.8? (a) -3 (b) 3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*h)*(-6*h + 5*h + 5*h - 57 + (4 - 1 - 5)*(-h + 2*h - 3*h) - 3*h + 5*h - 4*h - 2*h + 1 - 1).\nAnswer: 8*h**2 - 114*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 311\/3 - 1\/3*d**2 + 310\/3*d = 0.\nAnswer: -1, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 8:51 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102232 and 45080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4*6*(1 + sqrt(98) + -4) + 0 + (-1*sqrt(98)*-1 - (3 + sqrt(98)*-2 - sqrt(98)))))**2.\nAnswer: -264600*sqrt(2) + 742113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11979*l + 299460. Give j(-25).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cykqellccklcqlk. Give prob of sequence lc.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + -1.3. Let w = 0.2 + q. Suppose -2*i + 5*i - 12 = 0. What is the biggest value in i, w, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 13. Let v be m(-13). Suppose 0 = 2*z + 3*a - 278, v*z = 4*z + 3*a - 544. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 76?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5564*l**4\/3 - 19066*l**3\/3 + 48722*l**2\/3 + 24352*l\/3 - 680 = 0. Calculate l.\nAnswer: -5, -1\/2, 102\/1391, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 2. Let b(c) = -23*c + 7. Let l(n) = 23*n - 8. Let p(h) = k*b(h) + 5*l(h). Calculate the remainder when p(-3) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732311.9l in millilitres?\nAnswer: 732311900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 397519698977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -809, -3335, -7543, -13433, -21005, -30259?\nAnswer: -41195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (26\/5)\/((-1)\/(-5)). Let v(s) = s**3 - 25*s**2 - 16*s - 11. List the prime factors of v(c).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/443958 and -41\/16056481.\nAnswer: 96338886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z + z)*(1 - 1 - 2*z**2) - z**2 + z**2 + z**3 + (0*z + 2*z - 4*z)*(0*z**2 + z**2 - 4*z**2) + 3*z**2 + 3*z**3 - 3*z**2.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27\/3418 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 504750334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 23408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2132523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102010120001 (base 3) in base 4?\nAnswer: 10320333010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-2 - 46\/(-14)). Let l be (-12)\/(-10)*35\/28. Let j(z) = -z**2 + z + 2. Let t be j(2). What is the nearest to t in l, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/(-4214))\/((-70)\/6615) and -61\/86.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 20*h. Let q(p) = 9*p. Let m = 145 - 141. Let z(n) = m*t(n) - 9*q(n). Let l(w) = -213*w. Calculate z(l(o)).\nAnswer: 213*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12982 + -18316. Let d = -5357.33 - v. Round d to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -25*p - 495. Let g(i) = -2*i - 38. Let z(j) = -40*g(j) + 3*q(j). Let v be z(-7). Is v != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -5 in decreasing order.\nAnswer: 5, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 336857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - (-2)\/(14\/(-21)). Differentiate -5*p + 3*p - 82 - 131*p**3 + 165*p**u with respect to p.\nAnswer: 102*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 4, -20, 32, 51, 5 in descending order.\nAnswer: 51, 32, 5, 4, 1, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3823980 - 112788100\nAnswer: -108964120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*i + 1240794 = 553*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-369)\/205 + (7 - 5). What is the closest to 2\/5 in -0.12, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -31, -94, -213, -406, -691?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/5 - 867*g**4\/5 + 120089*g**3\/5 - 4927017*g**2\/5 + 13206328*g - 55786740 = 0.\nAnswer: -993, 10, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - -3 - 1) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59.06 + -61. Let f = 0.005 - -1.795. Let y = f + m. Sort y, 0.5, -3.\nAnswer: -3, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(108\/(-432))\/(2\/168*3))\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -21*f + 121. Let i(p) = -4*p + 24. Determine 11*i(h) - 2*v(h).\nAnswer: -2*h + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -71785 (base 9) to base 15\nAnswer: -e035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/330)\/(-4)*-4*(-55)\/(-44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -73\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647653?\nAnswer: 7, 113, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.71 + -11.71. What is the fourth biggest value in x, 1\/3, 2\/15, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + s + 3)*(4*s**2 - s**2 - 2*s**2) + 13*s**3 + 2*s**3 + 3*s**3 to the form r*s + o + p*s**2 + t*s**3 and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 249308512 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -161*u**4\/2 + u**3 + u**2 - 43*u + 1040. Find the third derivative of k(z) wrt z.\nAnswer: -1932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20652 is divided by 139.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/(-8) + (5 - 0). Which is the nearest to 2? (a) -0.2 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 41272.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/666 (b) 276 (c) 3 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604 smaller than 1595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6502 + 13031\/2. What is the common denominator of r and (0 - 1\/(-11))*38?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**5\/3 + 3032*i**4\/3 - 157756*i**3 - 39767888*i**2\/3 - 77618384*i\/3 = 0. What is i?\nAnswer: -58, -2, 0, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psps when four letters picked without replacement from {s: 2, p: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 7\/65, -93.6, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - u = -267 + 1257, 0 = -3*i + 2*u + 2967. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c - 809 = 24*c - 1349. Put c, -104, 0 in increasing order.\nAnswer: -104, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1175463343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123998 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/14 - (-36)\/42?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1 = -21. Let n = -3 + z. Let p be 8\/(-2) + -51 + 3685\/67. Solve -w - n*w = p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (473*r - 4000 + 4000)*(3 + 1 - 1).\nAnswer: 1419*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.175*518.7\nAnswer: -90.7725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33375892588.99999839 - -33375892279. Let x = -190 - -500. Let v = p + x. What is v rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072719 is divided by 977.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -962649693 or -962649692?\nAnswer: -962649692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135 - -132) + (-1 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 7:50 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3270, -3268, -3266, -3264, -3262?\n\"Answer: 2*q - 3272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**5\/60 + h**4\/8 + 2*h**3\/3 + 6*h**2. Let a be g(3). What is the derivative of -c**3 - 2 - 1 + c**3 + a*c**3 wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 4 (c) 148 (d) -1\/7 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 0.3935?\nAnswer: 0.8935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**2 - 280.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 3, -1, 538, 4 in ascending order.\nAnswer: -40, -1, 3, 4, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3151092252 to the power of 1\/3, to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666039451 a multiple of 6427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16797, 33530, 50195, 66786, 83297?\n\"Answer: -t**3 - 28*t**2 + 16824*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 2\/5, 3\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 13*x**2 + 31*x - 20. Give r(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-8 + 20 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1419 + 1411.612. Let l = g - -0.388. Sort -2\/13, l, 0.\nAnswer: l, -2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 31. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4df - -62bb?\nAnswer: 5ddc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3551414 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q**3 - q**2 + 6*q**3 + 5*q - 1 + 12*q**3 - 2*q**4 to the form r*q + h*q**3 + m*q**2 + s*q**4 + a and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 6 + 0*r + 2)*(674*r - 1758*r + 409*r) + (3 - 3 + 2*r)*(-r - 2 + 2) - 4*r**2 - r**2 + 6*r**2.\nAnswer: 674*r**2 + 2700*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 - 4*k - 9. Let c(j) = -1. Let b(z) = -5*c(z) + n(z). Let m be b(-4). Let t = 128 + m. What is the highest common factor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*u**2 + 376*u - 642*u**2 - 376*u to the form b*u + c*u**2 + m and give c.\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 2\/15*s**3 + 1\/10*s**4 + 0*s + 0*s**2 - 1\/15*s**6 - 2 - 2\/25*s**5. Suppose i(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1025973 - h + 1025956 - 2*h**2 + 3*h to the form m*h**2 + o*h + w and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14542c9 (base 13) to base 9\nAnswer: 13142037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*2*8\/12. Suppose -3*t = -j, 2*p - 3*t + 8 = 3*p. Let n be (-1 - 5)*2\/(-6). Which is the second smallest value? (a) p (b) -3\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 + 2) - 6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.43, -2\/11, -4, 4, 2 in ascending order.\nAnswer: -4, -0.43, -2\/11, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 44. Solve g + h**2 - 5\/2*h**5 + 5\/2*h**3 + 0*h - h**4 = 0 for h.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1. Let o = -187\/4 - -47. Let g = -1047 + 1049. What is the third biggest value in b, o, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 12 - -3 - (2 - (18 + -14))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -12 + (-13 - -8 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 - 129*u**2 - 941*u + 581. What is d(-9)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 0*o**2 - 17\/12*o**4 - 25\/14*o**7 - 2 + 0*o**6 + 0*o**3 + 0*o**5 - o. Find the third derivative of x(y) wrt y.\nAnswer: -4500*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -9, 4, 0.1, 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5*k = 43, 51*t - 5*k + 4 = -338 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 + 186*h - 51. Give p(46).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65837824 divided by -2.\nAnswer: 32918912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 + -3?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kor when three letters picked without replacement from {r: 1, o: 1, k: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*2\/(-312) + 0. Let f = 1267\/39 - z. Let h = 163295\/18 - 9077. Find the common denominator of h and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5121625.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.002 and -66117263.903.\nAnswer: -66117263.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -22. Suppose -4*i + z = -i. Let w(j) = 5*j**2 - 3 - i*j - 6*j**2 - 2 + 0*j**2. Determine w(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 19556.\nAnswer: 3\/9778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-30)*5\/((-10)\/(-8)). Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 - 1\/(-3). Suppose -3*f = -i - 6. Suppose -5*h = f*m - 26, -m - h - 3*h + 19 = 0. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Let y be (-2 - -4)\/n - 13. What are the prime factors of (9\/y)\/(3\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 26*w**2 + 55*w - 26. Let x be q(-28). Is (-1 - 1)\/x - -642 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22485 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhl when three letters picked without replacement from yhuhrurrrryrrruyrl.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 409010 and 8750?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**4 - 58*q**3 - 5*q**4 + 52*q + 36*q**3 wrt q?\nAnswer: -24*q**2 - 132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -407938827*0.3\nAnswer: -122381648.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 32*k**2 - 5.\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(4\/3)*a)\/((a\/a**4)\/a))**4)**42)**(-26) assuming a is positive.\nAnswer: a**(-27664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**3\/3 - 13*w**2\/2 + 140*w + 256. Let t be j(-20). Let 1\/6*x**3 + t*x**2 + 0 - 2\/3*x = 0. Calculate x.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 1, h: 2, u: 1, p: 1, o: 2}. What is prob of sequence oqo?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*q**3 + 25*q**3 - 50*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450455345 (base 6) to base 15.\nAnswer: ab1d15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 232633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -5. Let i = -35 - -34.6. Let p = i + 0.4. What is the closest to p in -3\/7, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68734 is divided by 6246.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510 and 214710918.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 19 - (-110 - (-334 - -241))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -6973\nAnswer: -3\/6973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millennium in years?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y = 3*h + 24*y + 47, h + 2*y = -17 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m. Let p(i) be the first derivative of -2*i**3\/3 + 61. Calculate l(p(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 10*i**2 - 22*i + 28. Determine r(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/4)\/(2\/(-3)). Let z(a) = a**2 - 5*a - 1. What are the prime factors of z(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -12, -y - 359 - 358 = 5*n - 710 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3131.97ug to nanograms.\nAnswer: 3131970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 1:53 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (5 + -10 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5*u - 4 = 0, -447839*u = -i - 447835*u - 1 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3853, 7709, 11561, 15403, 19229, 23033, 26809?\nAnswer: 30551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145826*-425.\nAnswer: 61976050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.33343 to 3 decimal places.\nAnswer: -1.333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73075 and 1680725?\nAnswer: 1680725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-1)\/(-3)*3. Suppose g + 3*g - 29 = t, 0 = -2*g - t + 7. What is the least common multiple of v + -4 + (1 - -7) and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 3:38 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w. Let j(a) = -a**2 + a + 17. Let h be j(w). Solve -2*l + 7 = h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + 16. Suppose -5*l = -15, -4*l + 6*l + 213 = 3*w. Suppose -k + 2 + w = 0. What is the highest common divisor of k and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33659, 31896, 30133?\nAnswer: 28370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 724376 and -6996089.\nAnswer: -6271713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -30472\/5 greater than -6093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*a - 11 = 8, -3*l - a - 4 = 0. Let p be 13\/((-6)\/l + -1). Calculate the highest common factor of 104 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355486680 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5582845, 5582834, 5582823, 5582812, 5582801?\nAnswer: 5582790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-5)\/(-240)*-3). Let z be ((-2)\/4)\/(4\/w). Let d = 1 + -1. Solve 0 = z*h - 3*y + 18, d = h + 3*y + 4 - 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002323 to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 7. Let p(f) = f**3 - 6*f**2 + 3*f + 3. Let a be p(6). Let v = a + -15. What is the units digit of t(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 6*s + 16. Let n = s + 33. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -134, -1\/6, 1, -33, 0.\nAnswer: -134, -33, -0.2, -1\/6, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.019 (b) 0 (c) -4 (d) -2\/13 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 28*r - 352 - 116. What is the remainder when 281 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 + 3 + 12*c - 12*c + 4*c**3.\nAnswer: 2*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**5 + 20845*y**4 + 145760*y**3 + 374680*y**2 + 416240*y + 166480 = 0.\nAnswer: -4162, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65584521 divided by -9.\nAnswer: 7287169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000000100 - 101001011111?\nAnswer: 111110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-99)\/66*((-586)\/3 - 2). Suppose 0 = -96*z + 92*z - h. Let y = z + 102. Calculate the greatest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*x = -26*x - 14. Suppose -x*k + 0*k = -5*b + 94, -4*b + 70 = k. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*h = -0*h + 72, 120 = 4*s - 2*h. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(4*c - 6*c - 12*c + c + 4*c - 4*c + (c + 4*c - 4*c)*(-1 + 1 + 2)).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 13*o**2 + 24*o - 359. Let l be p(10). Calculate the highest common divisor of l and 6697.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = b - 3*d, 3*b - 11 = 4*b - 2*d. Let x(s) = s**2 + s. Let r be x(b). Solve r = -4*a + n + 22, -a + 5*n + 23 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 461535 and 104835?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6375048*x + 10912396 wrt x?\nAnswer: 6375048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230396179 and 533?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -197355354 + 1459.\nAnswer: -197353895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y. Suppose y = -3*n + 40 - 10. Calculate the remainder when 29 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**3 + d**2 + 5*d. Let g(f) = 3*f**3 + 2*f**2 + 4*f - 6. Determine -3*g(k) + 2*r(k).\nAnswer: k**3 - 4*k**2 - 2*k + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + -1 + 0 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-7)\/(-42)*0. Suppose 0 = 4*t + 3*p - 0 - a, -5*t = -2*p - 14. Solve -2*v + 4*z + 26 = 0, -t*v = 3*z - z + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f)\/(f\/(f*f**(3\/13)))*(f\/(f*f**(-1\/5)))**(-10) assuming f is positive.\nAnswer: f**(-49\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*8\/((-32)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 - 161 = -9*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-385)\/(-10)))\/((-1)\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 88, 47\/4, -5, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*s - 2 = 0, -5*s = -4*y + 2*y - 11. Suppose t + 3 = -y*t. Let q = t - -15. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -193 + 195. Let u(w) = -199*w**2 + 195*w**2 - 2 + g - w. Let y(a) = -a. What is y(u(j))?\nAnswer: 4*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 5*l**2 + 4*l - 2. Let a be o(3). Suppose -2*x = 4*k - 23 - 15, x = -5. Let u = a + k. Solve 4*n + 0*n - u = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15640 is divided by 1210?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.63 + 16.46. Let f = 0.09 - u. Let g = -24 - f. Sort g, 2\/5, 1 in decreasing order.\nAnswer: 1, 2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/34 - (5 - (-1648310)\/(-85)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202683.6ml to litres.\nAnswer: 202.6836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10122359?\nAnswer: 13, 778643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {j: 3, f: 1, b: 3, n: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -653, -2428, -5377, -9506, -14821?\n\"Answer: -v**3 - 581*v**2 - 25*v - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 177326355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4558912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 727224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4*b, -3*b + 12 = -6*b. Calculate the least common multiple of t and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 3*c**2 + 3*c + 24. Determine d(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 16 = j, -q - 234 = 3*j - 236 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*91*((-4)\/(-6))\/(404\/(-303))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = -0*x. Let h = x - 0. Let a(c) = -c**2 + 10*c + 4. Is 14 a factor of a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 + 5*b**4 + 0*b**4 + (0*b**4 + b**4 + b**4)*(0 + 2 + 0) + b**4 - 43*b**4 + 2*b**4.\nAnswer: -34*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47\/4 - 35\/3. Which is the nearest to f? (a) -4 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*h = -2*h + 71, 2*k - h = 51. Suppose 4*b + b - k = 0. Calculate the smallest common multiple of b and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 17, -3 in decreasing order.\nAnswer: 17, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -2*g**4\/3 - 16*g**2 - 6. Let h(r) be the second derivative of c(r). Let k(t) = 5*t. Give k(h(j)).\nAnswer: -80*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/25)\/x)\/(x*x*x**4*x*x))\/(x**(-2\/7)\/x)**(-11\/6) assuming x is positive.\nAnswer: x**(-3947\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -24. Let p be -1 - (-5)\/(10\/6). Factor -j - 2*j**p + 16 - s - j**3.\nAnswer: -j*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 178616*l**2 + 178613*l - 357230.\nAnswer: (l - 1)*(l + 2)*(l + 178615)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 40. Let s(h) = 8. Let r(g) = -5*s(g) + z(g). Let k(l) = 6004*l + 2. Calculate k(r(b)).\nAnswer: 12008*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 20*k. Give j(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/5)\/((-20)\/150). Let g be (-7)\/(-2) + (-6)\/i. Suppose 0*x - g*c = x - 167, 5*x - 930 = -c. What is the highest common factor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-12)*-7*(-9)\/315*-10?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2801*z**2 - 6*z - 2803*z**2 - 809 - 124 + 3*z + 18*z with respect to z.\nAnswer: -4*z + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288936786?\nAnswer: 2, 3, 48156131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 58291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 2\/251, 8?\nAnswer: 2\/251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/(114\/228).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 - 8195320*j**2\/9 + 16390646*j\/9 - 8195324\/9.\nAnswer: -2*(j - 1)**2*(j + 4097662)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**5 - 2*t**5 + 0*t**5 + (2*t**2 - 6*t**2 + 3*t**2)*(3*t**3 - 6*t**3 - 3*t**3 + (-1 + 1 + 2*t)*(-t**2 + 3*t**2 - 6*t**2)).\nAnswer: 15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k**3 + 17*k - 17*k + 3187 - 3187.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3371, 6524, 9677, 12830, 15983?\nAnswer: 19136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-24)*(-12 + 14). Let h be (3 + (-6)\/2)\/1. Which is the third biggest value? (a) i (b) h (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 830 - 816. Solve -20 + q = -6*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5311 and 6345.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + h - 49, 0 = 3*x - 3*h + h + 43. Let q = -7 - x. Let k(w) = -4*w - 19. Let l be k(-5). Solve -5*p + l = -q*f - 1, 0 = 2*f - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + s - 18124, -2*h + 81 + 7174 = -5*s. Calculate the greatest common factor of h and 375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5*(-14)\/(-945)). Let t = n - 32. Let k(p) = -p - 10. Give k(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3327*i**4 - 5*i**2 + 4334*i. Let l(h) = -1664*h**4 - 2*h**2 + 2167*h. Let u(y) = -2*k(y) + 5*l(y). Find the second derivative of u(o) wrt o.\nAnswer: -19992*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - (sqrt(720) + sqrt(720)*1)) + sqrt(20) + sqrt(100)\/(sqrt(5) - sqrt(80)))\/((sqrt(110) + 2*-1*sqrt(110))\/(-1*sqrt(1331))).\nAnswer: -341*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 14*a**2 + 5*a - 2. Let b be o(-3). Let w = 185 - b. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + k + 4*k + 0*k - 3*k + 4*k + (-1 - 3 + 2)*(-2*k + k - k) in the form j*k + w and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t. Let i(p) be the second derivative of 5*p**3\/6 + 22*p. Let a(w) = 5*i(w) + 2*q(w). Let s(y) = -3*y. Calculate a(s(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1368\/(-798))\/(4\/14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/8 (c) -209956\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 2140034421?\nAnswer: 2140034420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87 in 6.91924, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106851690 to the nearest integer?\nAnswer: 10337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*o**4 - 2 + (3*o**4 + 0*o**4 - 4*o**4)*(0 + 1 - 3).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(480) + sqrt(480)*-1)\/sqrt(12))\/(sqrt(648)*1) - (0 + sqrt(180) + 3)*-4)**2 + 1.\nAnswer: 576*sqrt(5) + 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -15. Let o = 1 - a. Suppose -p + 22 = 4*n, n - o*n + 12 = -4*p. Which is smaller: -1\/4 or p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-6 - -3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 14, u: 2, m: 1, g: 2, b: 1}. Give prob of picking 1 u and 1 g.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -36*b - 25. Let t be i(-3). Let y = t + -69. What is the remainder when 19 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -2)*(-90)\/36. Let y(j) be the third derivative of j**4\/8 - j**2. Let g be y(3). Solve -29 = z*p + 4*i, g + 12 = -5*p + 4*i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 50, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 655083892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 3 - 5. Let m be (-3 - (-6 - 0))*h. Suppose n = m, -x + 3*n = -5*x + 3121. Is x 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 (4 + 21\/(-6))\/(3\/200316) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-57))\/((-3)\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, 0.1, 5, -0.5, 38496, 0.24, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {p: 8, z: 1, t: 5, s: 5}.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**4*z)\/(z*z**(-15))*z*z**(2\/7)*z*z*z*z**(-2\/19) assuming z is positive.\nAnswer: z**(2152\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**3 - 3*t**2 + 2*t + 3. Let k(i) = -4*i**3 - 2*i**2 + 3*i + 2. What is 3*k(q) - 2*o(q)?\nAnswer: -2*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4454455802?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/38, 89926, 2\/9, -10\/23 in descending order.\nAnswer: 89926, 2\/9, 3\/38, -10\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q\/(q\/(((q\/q**0*q)\/q)\/q)))))\/q)**(-1\/45)*(q**1\/q)\/(q\/q**(-6)) assuming q is positive.\nAnswer: q**(-313\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*x + 5 + 2*x - 5 + (-x - x + 3*x)*(2 - 3 + 3) + 75 + 125*x - 75.\nAnswer: 131*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -g - 4*i + 24, 0 = 28*g + i - 26. Which is the nearest to -1\/2? (a) g (b) -2\/9 (c) -3 (d) -303\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*g + 45, 34 + 40 = 3*c - 2*g. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -9 - -3) + (12 - 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**5*s**3 + 36951332*h**2*s**3 + 2*h*s**3 - h*s**2 + 24*s**3 - s + 9024 wrt h.\nAnswer: -40*h**3*s**3 + 73902664*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 9*x**2 - 6*x + 9. Determine i(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 199851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 2)*(15*l**2 + 10*l**2 - 14*l**2)*(-2*l**2 + 2*l**2 - 3*l**2) to the form q + t*l**3 + n*l + s*l**2 + j*l**4 and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115331551 (base 6) to base 5.\nAnswer: 1032023400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -10. Solve -5*o - 26 = -q, -k = -5*q + 3*o - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*k = -60, -2 = -l + 3*k + 13. Let h be (20\/(-12))\/((-2)\/l). Let m be (-3 + 116\/12)*3. What is the highest common divisor of h and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 21*r - 10. Let h be u(9). Suppose 3*t + 278 - h = 0. Let f = 123 + t. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 1067*q**5\/60 + 13*q**3\/2 + 859*q**2. Find the first derivative of f(b) wrt b.\nAnswer: 2134*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = v - 9, -4*i - 91 = -4*v + i. Let l(c) = c**2 + 24*c + 59. What is the remainder when l(-25) is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6592 and 654256?\nAnswer: 2617024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 6\/37, -1, 4542 in descending order.\nAnswer: 4542, 1.4, 6\/37, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*f - 40. Suppose -9*v + f*v - 3*d + 42 = 0, v - 2 = -5*d. Suppose -98 = -x + 34. What is the highest common factor of v and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18533*l**3*n - 463*l**3 + 1841*l**2*n + 2*l**2 + 1393*n wrt l?\nAnswer: 111198*n - 2778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665575.7 nanograms to tonnes.\nAnswer: 0.0000000006655757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -64 (b) -5 (c) 1\/2 (d) 156 (e) 0 (f) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208 + -137. Let u = 42 - 16. Let o = u - z. What is o rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/8 + -19 + 741\/38. Let z(s) = -2*s**3 + 3*s**2 - 2*s - 3. Calculate z(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 110711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55.04 + -49.04. Which is the fourth smallest value? (a) -11 (b) -3\/2 (c) -5 (d) p (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22.024 - 0.024. Let b = c - 52. Let h = -30.0038 - b. Round h to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 17*t - 5. Let x(o) = 4*o - 1. What is -2*r(m) + 9*x(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91561?\nAnswer: 19, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/15*(-27)\/18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -10*q**6\/3 + 2*q**3\/3 + 11. Find the third derivative of b(p) wrt p.\nAnswer: -1200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/3 - (-5 + (11 - 5)). Let n be 7\/7*((-12)\/(-9))\/(-4). Which is the smallest value? (a) 0.97 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 0*a**5 + 0*a**2 + a**4 + 0*a**3 - 196*a - 1\/10*a**6 + 0. Factor z(j).\nAnswer: -3*j**2*(j - 2)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1. Let t(o) = -51*o - 111. Let i(a) = 269*a + 553. Let p(v) = -2*i(v) - 11*t(v). Determine -115*d(m) - p(m).\nAnswer: -23*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 14) to base 8\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l**2. Suppose 24 = 11*h + 13. Calculate v(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674, -2177, -4512, -7685, -11702, -16569?\nAnswer: -22292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1732 divided by -2\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q = 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 119, 112, 105?\n\"Answer: -7*c + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (357\/(-105))\/(1\/5)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -17\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*w - 664*w + 203*w**2 - 129*w - 201*w**2 in the form h*w + p*w**2 + j and give h.\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 191 = 79. Let y(n) = -10 + 3*n - 10 + 8 + 0*n. Let v be y(6). What is the greatest common divisor of v and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 2. Let w be n(3). Suppose 0 = 2*v - w*p - 2 - 11, 4*v - 5*p = 21. Suppose a = 4*a + 5*y + 10, 2*a + 2*y = -v. Do a and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/f**(-10\/7)))\/(((f\/(f*(f**39*f)\/f))\/f)\/f))**(-1) assuming f is positive.\nAnswer: f**(-270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11675, -11674, -11673, -11672?\n\"Answer: i - 11676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.603 + 2.397. Which is the smallest value? (a) 0.5 (b) -4 (c) 8 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 346766 and 6392?\nAnswer: 1387064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, x: 4, u: 1, e: 2}. What is prob of sequence uexe?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 297*g**2 - 1 + 2 - 280*g**2 + 160*g**2.\nAnswer: -417*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149547025 and 1695?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*c - 465*c + 1333 - 588*c + 1357 - 2690.\nAnswer: -802*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 272 - 169. Suppose -2*t = -27 - v. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(4 - (11 + -4)). Solve -z - 5 = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {h: 1, v: 11}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -9, 0, -128 in descending order.\nAnswer: 2, 0, -2, -9, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**3 - 33*u**2 + 2*u + 25. Let b be g(-11). Let z(q) be the third derivative of q**2 + 0 + 0*q**b + 0*q + 0*q**4 - 1\/120*q**5. Factor z(t).\nAnswer: -t**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 7*t - 9. Let l be r(7). Let m = l + 10. Let k = 3 + 0. Sort k, m, 5 in descending order.\nAnswer: 5, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) 0.3 (b) -4146 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11910 - 5530 = -545*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2658524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 + 249*t. Let b(v) = -2*v**2 + 187*v. Let d(n) = 11*b(n) - 8*h(n). Let s(p) = 30*p - 2. Calculate d(s(y)).\nAnswer: 1800*y**2 + 1710*y - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 + 15*y + 1. Let c(m) = -2*m**2 - 18*m - 1. Determine -5*c(t) - 6*k(t).\nAnswer: -8*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from diododidoiqidid. What is prob of sequence iddq?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5653 is divided by 109?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1309666 divided by 654833.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45 + -299155.\nAnswer: -299200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 j when three letters picked without replacement from {o: 2, j: 1, b: 2, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 - 2*z**2 + 3*z**2)*(2 + 2 - 6)*(2*z - 2*z + z) as o*z**2 + k*z + j + g*z**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 2:05 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 193*f**2 + 162*f + 6205. Give y(194).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*((-69)\/(-46))\/(-1*6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 26*s**2 - 41*s - 17. Let p = 121 - 93. Is m(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2416237 is divided by 805406?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -2\/45, -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -0.72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -128, -363, -700, -1139?\n\"Answer: -51*o**2 - 82*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788 is divided by 63.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.15841 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (4 + 2) - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 8*w**3 - 1228*w**2\/3 + 2576*w\/3 - 1372\/3 = 0.\nAnswer: 1, 7\/6, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/27)\/(a\/(a**(-6\/7)*a))*a**(-1\/3)*a**(-3\/2) assuming a is positive.\nAnswer: a**(-989\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/2 - 524*i**2 + 3135*i\/2 = 0 for i.\nAnswer: 0, 3, 1045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -21*z**3 - 2*z**2 + 6*z + 2. Let c(t) = 64*t**3 + 7*t**2 - 18*t - 7. Give 2*c(n) + 7*h(n).\nAnswer: -19*n**3 + 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) + 1\/2. What is the closest to 1 in -0.5, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 3 + 1 + 2. Let p be u(3). Put p, 5, -4 in decreasing order.\nAnswer: 5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**5\/30 + 13*s**4\/9 - 49*s**3\/9 + 8*s**2 + 107*s. Factor j(x).\nAnswer: -2*(x - 24)*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 88 = -4. Suppose 0 = -3*g + g + y. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 15*i**3 + 1262*i**2 + 173*i + 412. Give g(-84).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/234 and -95\/286?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o**4 + 2*o**3 + 6*o**4 - 26*o**2 - 4*o**3 + 76*o - 78*o to the form n*o**3 + l*o**2 + k*o**4 + s*o + j and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*h - 136*h - 272 = 0. Calculate the remainder when 325 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -5, 83, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 586665466 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-246945)\/22449) + -11. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((7 - (-20)\/(-4))\/1). Let n(o) = -2*o**2 + 4*o - 18. Calculate n(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 1 - 3)*(-2*r**3 + 0*r**3 + r**3) + 0*r**3 + 2*r**3 + 3*r**3 to the form v + h*r + w*r**2 + j*r**3 and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + a - 166318 + 166331 = 0, 0 = 5*l - 5*a + 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -956 - -2611. Calculate the highest common divisor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*p - 6 = 0, -2*d = -3*d - 5*p + 2. Suppose -5 + 1 = -2*l, 0 = -3*w + d*l + 188. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 2505?\nAnswer: -150.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -411710965 minus 216075?\nAnswer: -411927040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04304238 to four dps.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-5)\/((-10)\/(-4)). Suppose 8*f - z*f + 1080 = 0. What is the units digit of (f\/(-16))\/((-1)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/29)*l\/l**(-4\/3))\/((l*l\/(l**8*l))\/(l\/(l\/(l\/(l\/l**(-16)))))))**(-4) assuming l is positive.\nAnswer: l**(2344\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3 (b) 0.29 (c) -0.061 (d) 4 (e) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -512.1*-5.5.\nAnswer: 2816.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107072236 + 6?\nAnswer: -107072230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 + 11*c**2 - 3*c - 6. Determine k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*u - 42 = m, 3*m + 5*u - 42 = 0. What is the second derivative of 9 + 3*l - m - 4*l**3 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(4\/11))\/s**11*(s*s**(6\/5)*s)\/(s*s**(-2\/15)) assuming s is positive.\nAnswer: s**(-265\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) -0.5 (c) -1\/4 (d) -4 (e) 4\/7 (f) -474\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 19 + -4 - (-1290)\/(-174))\/(74\/(-37))?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (6 - 3) - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2126, 4252, 6378, 8504?\nAnswer: 10630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + (-6)\/3 - 1. Solve 5*c + 5*i = 15, -i + 15 = n*c - c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1726432 to the nearest 10000.\nAnswer: 1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c**2 + 209 + c + 8*c**2 + c**2 - 209. Let r = 9 - 6. Let w(g) = -4*g**2 - 2*g + 1. Calculate r*l(k) + w(k).\nAnswer: -k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*((sqrt(75) - (-1 + sqrt(75)))*-5 + (-2 + 0 + sqrt(75) - sqrt(75))))**2.\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-202 - (156 + -305)) + -33?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13008, 52047, 117116, 208215, 325344, 468503, 637692?\n\"Answer: 13015*g**2 - 6*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5359 divided by -4674?\nAnswer: -5359\/4674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2709 and 133343.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7342849 millimeters?\nAnswer: 734.2849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -1 + -2678 + 2702 - (-95 - -2).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4947*f**3 - 6*f**2 + 117*f?\nAnswer: 29682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**6\/20 + 3*p**5\/20 + 3*p**4\/2 + 7*p**3\/2 + 15*p**2\/4 + 106*p. Determine o, given that x(o) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 52. Suppose 6*k - 12 = f*k. Solve 0 = 5*l - r - k*r - 5, -4*l - 3*r = 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2. Let j(y) = 6*y**2 + 3. Let n(g) = 4*g**2 + 4. Let o(f) = 4*j(f) - 3*n(f). Calculate m(o(t)).\nAnswer: 576*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 6 - 27. Suppose -3*l - 25 = -u + 38, -2*u - 6 = 0. Let t = j - l. Solve 7 = -4*d - t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -61, 5, -2, 114, -44 in decreasing order.\nAnswer: 114, 5, -2, -5, -44, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7883.687943 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5877821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chc when three letters picked without replacement from chccccaoacco.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - k**3 - 3*k**2 - 2*k**3 + 2*k**3 - 3 + k. Let b be p(-4). Let i(n) = 54*n - 1. Calculate the remainder when i(b) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 17410?\nAnswer: -3\/17410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*k - 2 + 146 = -131 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 18752992?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 2*q - 3. Let p be m(-2). Suppose 38 - p = 3*t. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4586528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(200)*-2)**2 - ((sqrt(200) - sqrt(200)*2)**2 + -3))*5.\nAnswer: 19015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y - 11*y - 6*y - 3*y - 7*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003978 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -3*t + 2, t - 12 = 4*j + 3*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 5:27 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 18 = -7*b, 4*f - 6380 = 3*b - 6421 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2542*f - 344 - 2554*f + 5093*f.\nAnswer: -3*f - 344","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from saa.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -21. Suppose 0 = -4*v - z + 13, -z + b = 4*v + z. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)\/sqrt(4) - sqrt(12)\/sqrt(64) - ((-3 + sqrt(3) + sqrt(3))*-1 - (sqrt(3) + -3 + sqrt(243))))**2 + -2.\nAnswer: -225*sqrt(3) + 17419\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/4)\/(3\/(-8)). Let d(p) = 9*p**2 + p - b*p - 4*p**2 - 3. Is 8 a factor of d(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -220620*((-1173)\/(-92))\/(-51)?\nAnswer: 3, 5, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*f + 9, -5*f - 30 + 15 = -l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 630, 1267, 1916, 2577?\nAnswer: 3250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f\/(f**(-8\/13)*f))\/f*f*f))**11\/(f**46\/f**38))**(-6\/17) assuming f is positive.\nAnswer: f**(294\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49865785.\nAnswer: 5, 19, 71, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w - 4*f - 13, 5*f = -20. Let h(k) = 3*k - 2*k + w - 1. Let q(r) = -5*r**2. Determine q(h(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -175188 (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + p**3 + p**3)*(0*p - 3*p + 2*p)*(3 + 7 + 9).\nAnswer: -38*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7 + 10)*(-4)\/(-24))\/((-4)\/(-6))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3*k**2 + (-k + 7 - 7)*(-2*k + 0*k + 0*k))*((1 + 4 - 6)*(6 - 3 - 2) - 2 - 2 + 6) to the form a*k + r*k**2 + t and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -2*s**3\/3 - 5*s**2 + 67*s + 641. Calculate z(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 4*k - 2, -8*i - 14*k - 47 = -7*k - 2*k for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d - 12. Let x be h(-3). Suppose -1 = x*q - 11*q. Let n = 4 + -4.3. What is the nearest to q in n, -0.09, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*o = -7, -10296*o + 10290*o = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*z + 28. Suppose -z*f + 75 = -3*b - 126, -b - 103 = -2*f. Put -4, f, -1 in ascending order.\nAnswer: -4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149448 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9122 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -193 - -220. Calculate the remainder when 102 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5727052033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**6\/3 - u**2 - 11*u + 12. Let j(i) be the first derivative of g(i). What is the derivative of j(m) wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4787 is divided by 56?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2 + 52*w**2 - 54*w**2 + 6*w**3 - 5*w**3 + 2*w. Let h be s(3). What is the greatest common factor of h and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 3*i - 4. Suppose 5*k + 0*k = -20. What is the remainder when d(k) is divided by ((-4)\/10)\/(2\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3185, 6405, 9543, 12593, 15549, 18405, 21155, 23793?\nAnswer: 26313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -303*m**2 + 3*m - 2. Let b(n) = 304*n**2 - 2*n + 1. Give -3*b(l) - 2*o(l).\nAnswer: -306*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*u + 13*u**2 + 21*u**2 - 18*u**2 + 15 + 41 - 4*u = 0.\nAnswer: -14, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-1)\/((-3)\/2)). Let a be (s\/28)\/(6\/(-16)). Let r = -1202314 - -1202313. What is the smallest value in -1\/3, r, a, 24?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3469*i**2 + 119*i - 116*i - 13 + 517*i**3 + 3469*i**2 - 9 wrt i.\nAnswer: 3102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 34*h + 333. Determine n(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010 (base 2) in base 7?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/12)*d**(-1\/2)*d**(-5)*(d*d**9)\/d)\/(((d\/(d*d\/((d**(8\/7)*d*d)\/d)))\/d**(-3))\/(d**(-5\/4)*d*d**(2\/11))) assuming d is positive.\nAnswer: d**(-367\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o. Let p(i) = -9*i - 4. Let z(m) = -100*m - 45. Let v(d) = 45*p(d) - 4*z(d). Determine g(v(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c - 25. Suppose 2*v = c*v - 9. Suppose -u = 4*q - 12, 8*u + 2*q - 114 = v*u. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3 - (-272)\/48. Is (-3986)\/(0 + (4 - j)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 3.9. Let u = -0.024 + -0.201. Let x = u - -0.025. Which is the nearest to x? (a) 0 (b) z (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*r + 120 = -119 + 285 - 110 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.75 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + c**2 - c + 2. Let s(x) = -2*x**3 + 6*x**2 - x + 4. Give 2*s(f) - 2*z(f).\nAnswer: -2*f**3 + 10*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 457*l**7\/42 + 25*l**3 + l**2\/2 - 4*l - 5. Find the second derivative of q(v) wrt v.\nAnswer: 9140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -37550.\nAnswer: -1\/7510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -16 + 1. Suppose 2*h = u*a + 55, a - 42 - 31 = -2*h. 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: Calculate 12917 divided by -2.\nAnswer: -12917\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17945630.\nAnswer: 2, 5, 137, 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -656 != -634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 + 0*g**3 + 3*g**3 + (1 - 1 + 2*g**2 + (-3*g - 2*g + 3*g)*(-4*g + g + 4*g) + 4 + g**2 - 4 + 4*g**2 - 2*g**2 + 0*g**2 + 2 - g**2 - 2)*(-6*g + 0 + 0).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227552238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -1, 0.305, 5, -286?\nAnswer: 0.305","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*c - 2 + 13, 4*c = -l. Let n(r) be the second derivative of 7*r**5\/20 - r**3\/3 + r**2\/2 - 4*r. Give n(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -1\/8*n**4 - 6*n**2 + 0 + 1\/3*n**3 - 1\/60*n**5 + 0*n. Let z be (-9)\/((-108)\/15)*-4. Calculate c(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 80 = -5*w. What is the remainder when 38 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j**2 + 7*j**2 - 14*j**2 + (-3*j - 5 + 5)*(-j + j + 2*j))*(-2*j**2 - 2*j**2 + 3*j**2).\nAnswer: 21*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 1:17 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 329*p**3*t**3 + 2893*p**3*t**2 + 918439*p**3*t + 6*p**3 - 2*p*t - 4*p wrt t.\nAnswer: 1974*p**3*t + 5786*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -91262, -91272, -91282, -91292, -91302?\n\"Answer: -10*l - 91252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*t - 5678 = 0, -5*z - 1500 = 5*t - 8595. Let f = z + 211. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -32. Suppose 0 = 15*r - 6*r - 108. Let x = r + v. Which is the smallest value? (a) 9 (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -300 - 4?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 244 and 36?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from wwvwwwwkkwwkhhxwkkww.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -147 - 1\/3*k**3 - 196*k + 14*k**2. Factor f(y).\nAnswer: -(y - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = 165467 - 460691. List the prime factors of g.\nAnswer: 12301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 12 = v, 2*v - 4 = 3*v - 2*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*((q**2 - 3*q**2 + 4*q**2)*(0*q + 0*q - 2*q) + q**2 - q**2 + 2*q**3) to j + t*q**3 + k*q**2 + m*q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 15. Suppose -f = -p*f + 68. Let q = f + -43. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24358 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*(k**(-6)\/k)\/k*k)\/(k*(k\/(k*k*k**31))\/k*k*k))\/((k**19\/k)\/k*k*(k*k**(-2\/3))\/k) assuming k is positive.\nAnswer: k**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 17. Let n(r) = -3*r - 51. What is 4*n(a) + 11*s(a)?\nAnswer: -a - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632 is divided by 79.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2. Let r = -11 - -5. Let w be d(r). Suppose 3*x - 264 = -w. What is the highest common factor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1168.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -324, -4, -3.\nAnswer: -324, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 306.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/((sqrt(27)*2)\/sqrt(3) - sqrt(9)))\/(-1*(sqrt(108)*-3)\/sqrt(9)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 22 - 2) + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2857043070 to the power of 1\/2, to the nearest integer?\nAnswer: 53451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-54)\/(-153))*2\/((-6)\/(-3)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 9. Let u be m(-4). Suppose -21 = -u*g + 9. Calculate the remainder when 17 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2, -0.01, -0.5, -4, -1\/160?\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**(-1)*n)\/n*n)**16*n**(-4)\/(n\/n**5))\/((n*n**10)\/n**(-3\/4))**15 assuming n is positive.\nAnswer: n**(-641\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**4\/6 + 92*s. Let d(c) = 5*c - 33. Give h(d(r)).\nAnswer: -50*r**2 + 660*r - 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 + 1406875738224\nAnswer: 1406875738223.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 4, -14, 5 in descending order.\nAnswer: 5, 4, 1\/2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (100 + -101)\/(1\/2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*p**5 - 2670*p**4 + 1804*p**3 + 2372*p**2 - 1786*p + 298 = 0. Calculate p.\nAnswer: -149, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.035 + -14.965. Let p = 15.04 + u. Let y = 0.063 - 2.063. What is the second smallest value in -4, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszzzxszizfsiffs. What is prob of picking 1 x, 1 s, 1 i, and 1 f?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42947833?\nAnswer: 42947833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 1285581830.\nAnswer: 14141400130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -1 - (151 + -136).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + v - 29 = -0*y, 10 = -2*y + 5*v. What are the prime factors of y\/((-15)\/(-48))*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25952\/2445 + -7\/489. What is the common denominator of (-718)\/(-126) - ((-777)\/49 + 16) and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c - c - c**4 - 3 + c - 3*c in the form g*c + o + f*c**3 + l*c**2 + i*c**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*3*(-3)\/(-6). Suppose 3*p + 2*a = -p + 8, 0 = 5*p - 3*a - 32. Suppose -p*s + 4 = -76. Solve h*d + 2*d = s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41160 and 2522765.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5142 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h = 176. What is the lowest common multiple of h and ((-792)\/(-11))\/((-18)\/(-30)*(-10)\/(-4))?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2)*f)**(-25)*(f*f*f*f**0*f)**(-2\/89))**42 assuming f is positive.\nAnswer: f**(-140511\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-1))\/4*-12. Suppose -f - a = -4*a - 12, 4*a + 12 = 0. Suppose 2*b = 5*q + 10, 63*b - 3*q - 6 = 62*b. Solve f*c - v = -b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37263449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 9*z + 12. Let t be k(-8). Suppose 2615 = 5*p - 4*w, 4*w - 1569 = -t*p + p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20464290 and 0.08.\nAnswer: -20464289.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(5) + -5*sqrt(80) + sqrt(5) - sqrt(5)) - sqrt(30)\/((sqrt(90)\/sqrt(3))\/sqrt(5)) - ((-2 + sqrt(125) + 1)*4 + -2))**2.\nAnswer: -480*sqrt(5) + 8036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.4, -12, -3\/8, 5, 0.38?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 152457225 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139286.34 nanoseconds to hours.\nAnswer: 0.00000003869065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9919, -25729, -41525, -57301, -73051, -88769?\nAnswer: -104449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21952206*a + 5345791?\nAnswer: 21952206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 3*y - 5. Suppose -s + 56 = 3*s. Suppose -3*f + s - 5 = 0. Let v be (-5)\/((f - 2) + 0). What is o(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -6 + 15. Suppose c*q + 42 = 5*k, k = -4*q + 12 + 1. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 9 = c, 7*c + 29 = -p + 12*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 8*m**2 + m - 10. Let x be t(-7). Let s = 17 + x. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by -4*1*(-26)\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(320)*2 + -3)*-2*1)**2.\nAnswer: -9600*sqrt(5) + 128900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 149, 2980, 5 in increasing order.\nAnswer: 5, 149, 2980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(648)*2).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 1\/24, 1.9, -135, 5?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 977*q + 6836. Let x be z(-7). Put -2, 5, -50, 1, x in descending order.\nAnswer: 5, 1, -2, x, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3890, -10100, -20452, -34946?\n\"Answer: -2071*r**2 + 3*r - 1822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-495))\/(99\/1980).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2. Let f(y) = -13*y - 23. Let x(s) = -9*s - 15. Let b(h) = 5*f(h) - 8*x(h). Let m(d) = -d - 1. Let c(z) = -b(z) - 5*m(z). Calculate k(c(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -11. Let q = s - 0.1. Which is smaller: 6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18135918 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-2*sqrt(68) + sqrt(68))*6 - sqrt(68))*-4)\/(sqrt(8)\/sqrt(2)*3 + (sqrt(144)\/sqrt(6))\/sqrt(6)).\nAnswer: -35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-143))\/((2478\/649)\/42)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*i = 10, 29 - 4 = -4*s - 3*i. Let m(d) = d**3 + 7*d**2 + 7*d + 7. Let u be m(-5). Let k = u + s. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/56*-2 + (-1 - (-90)\/(-16)) and (-3 - -4) + 65\/(-98).\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(7)*-2 + sqrt(7))*4) + -5.\nAnswer: -5 - sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23*(-12)\/42*(-14)\/(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-9261.\nAnswer: 1852.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -34, -52, -70?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15227 - 15310. Suppose 0 = 6*v - 5*v + 84. Is v at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/2*(-530)\/(-689). Solve -35 = 2*h + f*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d - 4. Let o be s(2). Let m = -140 - -695. Suppose 5*k - m = -o*f, -5*k - f + 555 = f. List the prime factors of k.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5)*35\/(-12)*150\/(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -78*20\/(-1800)*-15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1734 + 546 = 38*o. What is the remainder when o is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u + 1. Let v(b) = b**3 - 3*b**2 + 84*b - 3. What is 3*g(p) + v(p)?\nAnswer: p**3 + 87*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69098523?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -103\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206630?\nAnswer: 2, 5, 220663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, 75, 1\/7, 96 in decreasing order.\nAnswer: 96, 75, 0.5, 1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 - 2*f**3 + 2*f**3 + (-3 + 3 + f**2)*(-4 + 0*f + 5 - f)*(43*f + 259*f + 53*f) in the form o*f**2 + m*f**4 + u + k*f**3 + q*f and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p - 3*p + 6*p)*(0*p**3 - 4*p**3 + 2*p**3) - 101 + 51 - 157*p + 52 - p**4 as n*p**4 + t + i*p**3 + m*p**2 + v*p and give v.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2075.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2234255, 2234260, 2234265, 2234270?\nAnswer: 2234275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2600) + -5*(sqrt(2600) - (sqrt(2600) - 2*sqrt(2600))))\/(((sqrt(32) + sqrt(8))\/sqrt(2))\/sqrt(2)).\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbiubnbi. What is prob of sequence bnbu?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 11*q - 24. Let d be b(7). Let m be (3 - 1 - d)\/(1\/(-2)). Let j be (1 - 6\/m) + 117\/26. Solve j = -3*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 8:12 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 95943192187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one halves of a week?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110383 (base 9) in base 10?\nAnswer: 65928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1590*t. Let s(o) = -287*o - 1. Give s(k(w)).\nAnswer: 456330*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3485546 + -745.8290854. Let x = t - -917.174. Let v = -168 + x. Round v to four decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4.7, -1, 0.08, -0.2, 1.7 in descending order.\nAnswer: 5, 4.7, 1.7, 0.08, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:46 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/368730 and -26\/879.\nAnswer: 108037890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 3*t = -23, -5*t + 4*t - 3 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1) - (-15)\/25\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**3 + 5*d**2 + 5*d - 4. Let v = -5 + 10. Let u(g) = -11*g**3 - 8*g**2 - 8*g + 6. Let h(s) = v*u(s) + 8*k(s). What is the derivative of h(w) wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -8 - -8 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 1, l: 1}. Give prob of picking 1 s and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 + z**3 - 2*z + (-z**3 - 2*z**3 + 2*z**3)*(-1 + 0 + 3).\nAnswer: -z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c + 2*r + 877 = 0, 0 = 2*c + 4*r - 346. Suppose 2*u - c = 493. Calculate the remainder when u is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 8468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isdlyiliislydijllyi. Give prob of picking 1 s and 1 j.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-1)\/2) + 3. Let a be (0 - v)\/(-1) - -2. Let c = 4016 - 4016. Solve c = r - a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15417682 by -47881.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 6 + 2 - 4*z + 8*z + 2 + 6.\nAnswer: 4*z + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -8 + 1 - (1 - -1)) + 19\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119828.9 + 119829. Let j = 2 + -5. What is the second biggest value in j, 3, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhsl when four letters picked without replacement from oolooshlossk.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4159 - 957 - 2827 = -610*v - v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1490 - -2?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)\/sqrt(7)*2 + sqrt(77)\/(sqrt(11) + (sqrt(11) - sqrt(1100)*-2)))*6)**2.\nAnswer: 1114407\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*h + 5*o, 3*o = -3*h + 4*h + 10. What is the third biggest value in -16, h, 0.4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/91189 and -44\/455945.\nAnswer: 455945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 4, -0.149, -2, 1\/6 in ascending order.\nAnswer: -2, -0.149, 1\/6, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 301 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 15*c**3 + 7*c**2 - 13*c - 2. What is the units digit of b(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 4:59 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90513 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -2123187616.1 and 6682.\nAnswer: -2123180934.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 11:50 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26129718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + 5 + -1 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138439 - -66439. Round z to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1416*a**4 - 2*a**3 - 2857 wrt a.\nAnswer: 5664*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t. Suppose 8 = -4*a + x + 26, 3*a + x - 10 = t. Suppose 2*n + 3 = 3*n + c, 9 = -5*n + 3*c. Solve -2*l - k + 3*k - 6 = n, a*k = 5*l + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 0 + 0)*(1 + 0*z + 0*z + z**2).\nAnswer: -z**5 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwei when four letters picked without replacement from ailewoweaaaowww?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 2976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 10*o - 10. Let v be q(13). Let c = 94 - v. What are the prime factors of c?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(((-48)\/(-44))\/6))\/(-5). Factor -2\/5*x**2 - 6\/5*x**4 + 8\/5 - 12\/5*x + s*x**3 + 1\/5*x**5.\nAnswer: (x - 2)**3*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3733.3656 nanoseconds to hours.\nAnswer: 0.000000001037046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 841 divided by -841?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1728393*j - 12098738. What is y(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8*u = 2185. Let o(y) = -5*y**3 - y**2 - y - 1. Let q be o(-1). Suppose q*h - 3*c = 3*h + u, 5*h - c = 2213. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 5c?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 188 (base 9) to base 5\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 28*d + 300 = 0. Suppose 0 = -2*n + 7*n - 25. Suppose -f + n*w = -12, -5*w - 1 + 137 = 3*f. What is the remainder when f is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let p = 0.0252 + -0.3252. Which is the nearest to t? (a) p (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 12:57 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 210 = 4*l - 256, -l + b = -119. What is the remainder when l is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -14. Let g be (k\/(-4) - -3)*4. Does 9 divide 50 - (2\/1 + g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2\/7 (c) 3\/2198\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -555\/4 in -23, -1\/4, 2\/63?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1212002111 (base 3) to base 4\nAnswer: 20322211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59588 by -502.\nAnswer: -29794\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -12*z**2\/7 + 19140914*z\/7 - 455736 = 0.\nAnswer: 1\/6, 1595076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62543 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*g + 14662 = 0, 0 = 4*w + 13*g - 11*g - 29348. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -70*p**3\/3 + 283*p**2\/2 + 4*p - 10. Is g(-38) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/63)\/(8\/39). Let m = -3\/4 + s. Suppose 0*g - 3*g = 15. What is the nearest to -2 in -3\/4, g, m?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1.836.\nAnswer: 0.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 - 6*o**2 + 6*o - 4. Let f(g) = -g**2 + g - 1. Let m(y) = -3*f(y) + t(y). Let n be m(2). Let i = 29 - n. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 - 13*r + 11. Let n(q) = 6*q**2 + 22*q - 21. What is 5*f(d) + 3*n(d)?\nAnswer: -2*d**2 + d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b**2 + 430*b + 9249. Suppose 178 = -5*z + x, -3*z - 4*x - 128 = z. Let q(i) = -80*i**2 - 3870*i - 83240. Let k(v) = z*m(v) - 4*q(v). Factor k(t).\nAnswer: 5*(t + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11*-2*5\/10. Let z = r + 14. Suppose -z*v + 5*f + 137 = 0, -3*f = v - 4*f - 47. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 2, 24, 76, 170, 318, 532, 824?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*j = -42, 4*m + 3*j + 5 = 32. Let r(f) = -f**3 + 10*f**2 - 8*f - 13. Give r(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 122, -5, 2.\nAnswer: -5, 0, 2, 3, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -294 (base 12) to base 6.\nAnswer: -1504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 679433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 89*u + 256 - 35 - 195*u - 256*u. Is y(-48) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 greater than or equal to -288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 203\/63) + 158\/(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/10*3*2.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35290 or 33166?\nAnswer: 33166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q**2 - 164*q + 741. Let g(c) = -2*c**2 - 44*c + 185. What is -3*f(b) + 11*g(b)?\nAnswer: -b**2 + 8*b - 188","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-15)*190\/(-76)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 322*w**4 + 1696*w**2 + 7988046 wrt w.\nAnswer: 1288*w**3 + 3392*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 95?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47 in -1\/6, 3, 2, 2.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, o: 6, i: 1}. What is prob of sequence nin?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11795 and 150976?\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 152*b**2 + 6*b - 4859*b**3 + 4853*b**3 - 9*b to the form d + k*b + o*b**2 + h*b**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + -2.2. Let d = a - -18. What is the closest to -0.2 in -2\/11, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 310534593 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -153, -129, -131, -165?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b**2 + 391*b + 3166. What is g(63)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -3. Suppose 960 = -j + i*j. Suppose -5*d = f - 245, -j = 2*d - 7*d - 2*f. What is the remainder when d is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26877 is divided by 1678?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 152516 - 152516 + 24*w**2 - 5*w + 20*w**2.\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 2*l + 17. Let n be t(7). Suppose -5*v - z + n = 0, -5*z + 29 = 3*v + v. Solve 4*q + 3 - v = 2*m, q - 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28385219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 56 - 275 = 3*r, 4*r + 414 = -5*j. Which is smaller: -129 or j?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -8617\nAnswer: -3\/8617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 8*h**2 + 7*h + 10. Let w be q(7). Factor 4 + 2*u + 12*u**2 + 2*u**3 + w*u + 2*u**3.\nAnswer: 4*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27364, -27490, -27842, -28534, -29680, -31394, -33790, -36982?\n\"Answer: -19*n**3 + n**2 + 4*n - 27350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195426 and 3762?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (564\/(-282))\/(2\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:20 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 939034*v**3 + 1 - 5.\nAnswer: 939034*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 8*g + 44. What is the third derivative of -7*m**3 - 5*m**3 + g*m - 11*m + m**2 wrt m?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 50 - 46 = 0. Is (230\/(-20))\/(t\/116) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86784, 173496, 260208, 346920, 433632?\nAnswer: 520344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) 2 (c) 447\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4471 + 3591 = -249*h + 2335 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39950792?\nAnswer: 2, 7, 713407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110991 = 5*h + l, -4*h + 3*l - 14852 = 73937. Let t = 42039 + h. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 695777 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1)\/p)**31)**34)**37 assuming p is positive.\nAnswer: p**(-77996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 2*f - 2. Let m be r(-3). Suppose 32 = -2*y + b + 4*b, 3*y - 5*b + 53 = 0. Let j = 23 + y. What is the smallest value in -2\/5, j, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 37 + 5 = 0. Let a(d) be the second derivative of -2\/35*d**6 + 2*d - 1\/147*d**7 - 8\/21*d**g + 0 - 2\/7*d**2 - 3\/7*d**3 - 1\/5*d**5. Factor a(v).\nAnswer: -2*(v + 1)**4*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1975.26 + 1975. Is -36 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -184, -749, -1700, -3043, -4784, -6929, -9484, -12455?\n\"Answer: -g**3 - 187*g**2 + 3*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k. Let o be y(0). Let z = -60 + 4. Let x be 4\/(-9)*21\/z. Which is the nearest to o? (a) -1 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o**2 - 5*o - 1. Let u(k) be the first derivative of -7*k**3\/3 - 5*k**2\/2 + 60. Let f(b) = -4*l(b) + 5*u(b). Solve f(t) = 0 for t.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 105 = -7*m - 41. What is the highest common divisor of 41 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 10 = j - 13, -2*j + 6 = 2*r. Solve 0 = -4*t - 3*x - 12, -j*x - 5 - 7 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/5 - 482*n\/5 + 3728\/5.\nAnswer: 2*(n - 233)*(n - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1656 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -10*s + 3. Let p be s + 2\/2*3. Solve 3*h - 1 = p*h, 4*j + 2*h = 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 57\/(-38)*1*(0 + 2). Let p = 13 + -11. Suppose 2 + 6 = d + 2*o, p*d + 4 = o. Sort d, 1, y in decreasing order.\nAnswer: 1, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28.784 - -30.284. Let i = -5 + 11. Sort v, i, 4\/9 in increasing order.\nAnswer: 4\/9, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 3:11 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.146 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 302481030\/13 greater than 23267773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/7775222 and -101\/3201562.\nAnswer: 54426554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 472842, 472771, 472670, 472545, 472402, 472247?\n\"Answer: q**3 - 21*q**2 - 15*q + 472877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 4*u**2 + 5*u + 4. Let x be t(-2). Suppose -4*v - 5*s = v - 20, -x*s + 23 = 5*v. Solve 0*l + 2*n = 3*l - 4, 10 = -4*l - v*n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjljvvvjjjvvvvj. Give prob of picking 2 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 671146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/((-4)\/(-3)). Determine g, given that 5\/2*g - y - 2*g**2 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/11, -0.5, 2\/25, 0.5, 2 in increasing order.\nAnswer: -0.5, 2\/25, 5\/11, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -495 + 482.72. What is q rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 23. Suppose -4*d + 0 = -r - 4, d = -4*r + x. Solve -2*f - 3*f + 20 = r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39172, 39089, 38864, 38425, 37700?\nAnswer: 36617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 - 3*p**2 + 3*p - 5. Let z(m) = m**2 + 7*m - 42. Let j be z(-11). Let l be t(j). Solve 15*d + 2 = l*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-1) - -1) + -4. Let c(x) = -77924*x**3 - 194080*x**3 - x**2 - 12 - 9*x - 2995*x**3. Let m be c(a). What is m rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 4)*(4*b - 3*b + 2*b) + 0*b + 2*b + 0*b to v + k*b and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -7*o**6\/30 - 2*o**3\/3 + 2*o. What is the second derivative of w(t) wrt t?\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = 4*c. Let s(x) = 3*x + 2. Let z be s(c). Let v be 8*3\/(-54)*1. Which is greater: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-8) - (1 - 1859\/(-88)) and 27\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 17*p - 22. Suppose 3 - 499 = 31*k. Determine t(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 0, -0.1, -0.4, -4\/5 in increasing order.\nAnswer: -49, -4\/5, -0.4, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g**4 + 7*g**3 - 3*g. Let a(w) = -11*w**4 + 6*w**3 - 4*w. Let q(p) = -7*a(p) + 6*z(p). Find the second derivative of q(i) wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 393 + -150. Suppose -2*d + p = d. Let j = -53 + d. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54380*q*x**2 + 75*q*x + 11*q + 30*x**4 + 103*x + 2 wrt x?\nAnswer: 108760*q + 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -312936 divided by -105?\nAnswer: 104312\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 3 (c) 0.4 (d) 4.3 (e) -2864\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207835 and 16745.\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is -3434662 <= -3434660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 510?\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4138530 times -0.1\nAnswer: -413853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 6 = -5*v - g, -4*v - g + 25 = 0. Let c(p) = 6*p**2 + p - v + p - p**3 - p. List the prime factors of c(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 354*r**3 + 58*r**3 - 26.\nAnswer: 412*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 1:17 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 12.63494m?\nAnswer: 0.01263494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 11*u + 9*u - 4*u + 7*u**3 as a*u**2 + w*u**3 + b*u + d and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-1*-2*sqrt(72)\/sqrt(2))\/(sqrt(60)\/(sqrt(10)\/sqrt(2)*-6)) + -4))**2.\nAnswer: 384*sqrt(3) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 499 = -5*o + 4*h, 4*h = 3*o + 311. Let l = 145 + o. Suppose -2*w + l = -64. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 6 - 351 = 0. Solve 0 = -5*v - t + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5*o - 31230, -16*a + 12496 = -14*a + o. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -9*x + 10*x + 292, 3*s - 2*x = 287. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -86, -85, -86, -89, -94?\n\"Answer: -s**2 + 4*s - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - 39. Let k be (140\/(-3))\/(-5)*-3. Let n = k - r. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -1 (c) 13\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 79. Let d be u(0). Let z = d - -144. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 6*i + 31. Calculate k(9).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24456192313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15767505?\nAnswer: 3, 5, 13, 26953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3371, 3476, 3659, 3926, 4283, 4736, 5291, 5954?\n\"Answer: r**3 + 33*r**2 - r + 3338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a decade?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*l + 6*l - 6*l to p + b*l and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 17. Suppose 2*x - n = 8. Suppose x*q - 14*q = -28. What is the greatest common divisor of q and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125919528 and 168?\nAnswer: 125919528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 9:18 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*k**3 + 50*k**3 - 16112910*k + 16112910*k.\nAnswer: -202*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*d + 1655, -4*y = -d - 3*d - 2200. Suppose 22*w - 27*w = -y. Calculate the greatest common factor of w and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 9549.7?\nAnswer: 954.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2200 and 2431550?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 6*x + 6. Let r be n(5). Let b = r - -1. What is the units digit of 141\/21 - b\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -18*u**2 - 259*u + 30. Give d(-7).\nAnswer: 961","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -4025 (c) -0.02 (d) 1 (e) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1156150 (base 10) to base 5.\nAnswer: 243444100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-1) + (-2)\/(-2). Suppose 10*a - 4 - 16 = 0. Suppose -3*o - w - a*w + 123 = 0, -4*o + h*w + 132 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1816030.440249 + -1816028. Let q = g + -2.44. Round q to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420 and 3900?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -217, -321, -423, -523, -621, -717?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence duu when three letters picked without replacement from {u: 18, b: 1, d: 1}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyxl when four letters picked without replacement from ayxlyylygallllyllxll?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 376, 571, 780, 1009, 1264, 1551?\nAnswer: 1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 10\/3*u**3 - u - 3 + 0*u**2. Is w(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*s + 13 = 0, 4 = -3*n + 5*s - 3. Suppose -6*w + n = -3*w. Solve w*d = -7 + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104047.\nAnswer: 104047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -248 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**2 - 3*g**2 - g**2)*(-5*g - 10 + 10)*(7 - 2 - 34).\nAnswer: 435*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 3, -0.4, 0.3, -34993?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**5 + 420*c**4*y - 13*c*y - 2*c - 214 wrt c.\nAnswer: -120*c**3 + 5040*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 7\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -438?\nAnswer: 3942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 36. Solve -d*l = -l + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.5, -4 in descending order.\nAnswer: 2\/3, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w + 6. Let l be f(6). Calculate the greatest common divisor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 34*t - 81. What is the remainder when r(-30) is divided by 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 24 = -2*d. Let l(s) = -37*s - 567. Let p be l(-15). Is p less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.085 + -3.04. Let r = c - -1.569. Round r to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 10*r**2 - 6*r + 21. Let y be w(-9). Let j(h) = -h - 5. Let d(t) = 2*t + 6. Determine y*j(n) - 5*d(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f = 5. Let h be f\/(-12)*2*-2. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 - -196. List the prime factors of 536\/10 - (-32)\/o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 4 + 8)*(-2*s**4 - 4*s**5 + 4*s**4 + s**5).\nAnswer: -186*s**5 + 124*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.373346 - 0.030246. Let y = q - 6.0522. Let s = y + -9.3. What is s rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, s: 7}. Give prob of picking 2 p.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4253699 is divided by 364?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 6533362.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**6\/135 + 7*p**4\/54 + 2*p**3\/9 + 2*p - 59. Factor t(k).\nAnswer: -2*k*(k - 3)*(k + 1)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3\/7 + 768*s**2\/7 - 58486*s\/7 + 168600\/7 = 0.\nAnswer: 3, 100, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 28855783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 867*t. Let r(f) = -49*f**2. Calculate k(r(q)).\nAnswer: 2401*q**4 + 42483*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66465774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w**2 + 16*w**2 - 5*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(14) - sqrt(14)))\/(sqrt(12)\/(sqrt(24)\/sqrt(4)))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2484)\/(-1104)*(-160)\/(-18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 20*y + 1 + 8 + 5 + 35*y.\nAnswer: 15*y + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/13 + (-388962)\/17199.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/20*(-12)\/27.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -182 + 182. Suppose q = -92*h + 95*h - 1008. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -1124075 and -1124067 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 7*q**2 + q - 3. Let t be j(7). Let l(b) = -b**3 + 4*b**2 + 4. What is the remainder when 5 is divided by l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 22. Suppose -3*m - 2 = -k. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wiwl when four letters picked without replacement from lmiww?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 4*g - 8. Let a be f(-6). Suppose 42172655 = 2*j - a*i + 7*i, 21086355 = j - 4*i. Let q = 31086335 - j. Round q to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + c + 0 + (3 + 13 - 75)*(2*c + 4 - 4) - 3*c - 6*c + 6*c to the form r*c + a and give r.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131482 and 338?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3346\/5, 4, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -994 - 833 = -194*o + 1665 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 19*k**3 - 3.\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y + 493 = 496 + 1238. Put 2, y, -5, -1 in increasing order.\nAnswer: -5, -1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 59\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 86. Suppose -q - s = -79. Suppose -15*f + 19*f - q = 0. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/7 (b) 41685\/631 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - ((4 - -6)\/2 + -1). Let l(z) be the first derivative of 1\/2*z**4 + 5 + j*z**3 - 2*z**2 + 0*z. What is the second derivative of l(s) wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(128) + sqrt(128)*-1)**2 - (5 + sqrt(2) + sqrt(2)*-2 - sqrt(2))).\nAnswer: -6 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2851 - -2965. What is the highest common divisor of 2451 and s?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/2 of a day?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 17*i**2 - 84*i + 514. What is the units digit of w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.011 (c) -0.4 (d) -4\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -21. Let x be (4 - f)\/(8 + -12). Which is the closest to x? (a) 1\/4 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 60369902.\nAnswer: -1\/60369902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 15 = 5*s, 0 = 2*y - 5*y. Suppose -2*q + s = -9. Solve -4*r = 2*p + 10, 2*p - 3*r = q + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/20)\/((-1)\/(-16)). What is the second derivative of -z*b**5 + b**5 + 6*b - 8*b**5 wrt b?\nAnswer: -220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 24. Let w = -26781 + 26788. What is the greatest common divisor of d and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59, 117, 173, 227, 279, 329, 377?\n\"Answer: -m**2 + 61*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 501, 752, 1003?\nAnswer: 1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3\/2 (b) -4 (c) -4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(21\/18))\/((29547\/6566)\/(30\/(-4))).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 607*y - 7 - 613*y - 2*y**3 to the form h*y**2 + m*y + g + z*y**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n**2 - 41*n**2 + 10*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 27*d - 3. Let o be z(9). Let p be (0\/o)\/(16 - 17). Solve p = 3*l + 24 - 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 160 + -263. Let m = r - -189. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(15)*-2 + sqrt(15) + sqrt(15) - sqrt(15)))\/(sqrt(35)\/sqrt(112)) + sqrt(324)\/(sqrt(24)\/sqrt(2)) + ((sqrt(243) - sqrt(27))*-6)**2.\nAnswer: -17*sqrt(3) + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 1\/4, 1.07, -4.\nAnswer: -4, 1\/4, 1.07, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d - 6. Let j(r) be the second derivative of -r + 0 - 5\/2*r**2 - 5\/6*r**3. Determine -3*a(g) + 4*j(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/4 - 2625*v**2\/2 - 36879*v\/4 - 15813\/2.\nAnswer: 3*(v - 1757)*(v + 1)*(v + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*p**3 + 8*p**3 - 2*p**4 + 9 - p - 22*p**3 + 0*p wrt p?\nAnswer: -24*p**2 - 114*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/12)\/((-901)\/(-3604))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2 = f. Let d be (f\/30)\/(2\/(-4)). Which is the third smallest value? (a) d (b) -0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7, 22, 47, 82, 127, 182?\n\"Answer: 5*z**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*l - 10 = 0, 0 = -4*l + 5 - 1. Let d = 6 + h. Solve -2*u + w - 3 = 0, 4*w = u + 3*w + d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 369104 or 3?\nAnswer: 369104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikki when four letters picked without replacement from {k: 2, i: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16287 (b) 1 (c) 0 (d) -2 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n - 4 + 4 - 5*n - 26 + 46 - 29 + (4 - 3 - 3)*(0*n - 3*n + n) + 2 - 2*n - 2 - 3*n + 2*n + 3*n.\nAnswer: -7*n - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from {t: 1, f: 1, h: 1, v: 1, d: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1624 and 382326?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/375)\/(36\/30).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4 - 458*x - x**3 + 4*x**2 - 2*x**2 + 461*x. Suppose 0 = -5*v + 3*d + 6, v + 3 = -0*v + 2*d. Determine k(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - 8550 - 824*q + 17102 - 8552. Let r(l) = -3*l. Give h(r(u)).\nAnswer: -18*u**2 + 2472*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*k + 26 - 53*k - 83*k + 164*k - 26.\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7221 - 7219. Solve 3*f - 30 + 27 = 4*r, 0 = 3*f + g*r - 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxiesiesaioxe. What is prob of picking 2 e and 1 s?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 86.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15197*f + 100 = 15199*f + 25*c, -10*f + 8 = 2*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 3*s - 1. Let c be t(3). Let u be (-3)\/c + -4 + 6. Solve x - 5 + 0 = k, u = x - 5*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133030.\nAnswer: 2, 5, 53, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*l + 2*l**4 + 2*l**3 - 2*l**3 - 23*l**2 - 1 + 26*l in the form u*l**3 + f*l**2 + z + h*l**4 + b*l and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*p**2 - 592*p**2 - 593*p**2 + 2370*p**2 - 593*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2314\/22 + 10\/(-55). Suppose -7*t + 7770 = 70*t + 34*t. What is the greatest common factor of t and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*v - 6 = 0, -28*v + 33*v + 15 = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*-81475\nAnswer: 81475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20776789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13 + 1)*(-3)\/9. Suppose -j = -6 - x. What is the second derivative of -f + 10 - j + f**3 wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + z + 11, 0 = 2*z. Suppose -94 = -5*o + h. Suppose 12*n - 11*n = o. What is the greatest common divisor of 231 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 214 - 102. Let h = d - 34. Is h a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1198 - -1134.9. Let t = m + 57. Let d = -6.0922 - t. What is d rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(136)*1*6 + sqrt(136)))\/((4*(sqrt(64) + (sqrt(64)*-1 - sqrt(64))))\/sqrt(8)).\nAnswer: -21*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0694880643 to four decimal places.\nAnswer: -0.0695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 87101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4130 and 1456.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 5*w**2 + 5*w. Let f be u(-7). Let s = 143 - f. Calculate the highest common divisor of s and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(931) + (sqrt(931) + -1)*3 - ((sqrt(931)*2)**2 + -4)) - (5 + 2 + (sqrt(931)*4 + sqrt(931) - sqrt(931))*5).\nAnswer: -7453 - 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8035847 is divided by 47.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 59 and 239\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-3) + 12 - (-1 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)\/u*u*u**(2\/11))\/(u**1)**50*((u**(1\/7)*u*u)\/(u**(-2\/5)*u))**(17\/3) assuming u is positive.\nAnswer: u**(-63641\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3946 * 0.9.\nAnswer: -3551.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1067 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -5 - (-170999970)\/(-6). What is r rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2059116, -0.1, 1, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -9. Let n = x - 2.5. Sort 0.04, n, -2\/9.\nAnswer: n, -2\/9, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2252, 4579, 6906, 9233, 11560, 13887?\nAnswer: 16214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 630134147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/(-3)*(-14)\/910*10. What is the closest to 1 in 2\/11, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + (sqrt(13) - 4*2*sqrt(13))**2*6)*-5.\nAnswer: -19114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 190524 + 13*r**2 - 15*r**2 - 190531 + 5*r**2 + 4*r. Let f = 22 + -20. Let i(p) = -p**2 - 2*p + 3. Determine f*l(a) + 5*i(a).\nAnswer: a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 4*y + 1. Let h(m) = -1 - 5*m - 8 - 6 + m**2 + 16. Calculate -3*h(w) + 4*o(w).\nAnswer: w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 825430 to the nearest 10000.\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85529454?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7526154 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)\/(i**(-7)*i)*i**(1\/7)*i**3)\/(i**(-5\/4)*i**(2\/7)*i**3\/i*i\/((i**2*i)\/i)*i) assuming i is positive.\nAnswer: i**(59\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -9*s**3 + 27*s**2 - 32*s + 19. Let d(q) = 11*q**3 - 30*q**2 + 33*q - 19. Let u(t) = -4*d(t) - 5*j(t). Determine u(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041 a factor of 262201470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3.5, 0.5, 0.19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61878, -61897, -61920, -61947, -61978?\nAnswer: -62013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 4, 2.43, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2*n - 64. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**3 + 57*l**2 + 269*l + 24. Calculate r(-6).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -222*d**3 - 5*d**2 - 3*d - 1. What is the units digit of m(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29cb (base 14) to base 8.\nAnswer: 16407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - -0.05. Let c = 1.21 - -0.79. What is the closest to -2 in -3, v, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2569065, -5138133, -7707201, -10276269?\n\"Answer: -2569068*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -69, -62, -53, -42?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1676026 to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/69 and -5\/21.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - c + 6. Let x = -51 - -53. Suppose -x*t - 2 = -3*i, 0 = -5*t - 1 - 4. Calculate z(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -649 (b) 442 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 270, -2, -9 in increasing order.\nAnswer: -9, -2, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.6. Suppose -119*v + 115*v = h + 17, 9 = -3*h - 5*v. Which is the third biggest value? (a) t (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173202*z**4 - 75707*z**2?\nAnswer: -4156848*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 16*g - 81. Let l(o) = 3*o - 16. Let m(q) = -22*l(q) + 4*x(q). Is 3 a factor of m(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45395, 178356, 399957, 710198, 1109079?\nAnswer: 1596600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 4*l + 4*l)*((3 + 1 - 5)*(0 + 2 - 5) - 2 + 2 - 1)*((-7 + 2 + 3)*(-2 + 1 + 5) + 3 - 1 + 1 + 9 + 0 + 0)*(-2 + 2 - 3).\nAnswer: 72*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**9\/o))\/(o**(-7)\/o))**(-2\/39)*((o*o**(-3)*o)\/o**1)\/(o*o**(2\/5))**(-15) assuming o is positive.\nAnswer: o**(739\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2643 + 51a?\nAnswer: -2126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -106\/525 and 1\/9100?\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 - -1.54. Let d = v + 0.66. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 b, 1 z, and 1 y when four letters picked without replacement from {b: 3, r: 2, w: 3, z: 2, n: 1, y: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 6*o + 2*o = -8, 4 = 5*x + 2*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4115, -4118, -4125, -4136, -4151, -4170?\nAnswer: -4193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118691*v**3 - 116108*v**3 + 234802*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:50 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -288 - 55132490.\nAnswer: -55132778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 11*t**4\/4 + 7*t + 8. Find the first derivative of a(c) wrt c.\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by -4.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/15)\/((-72)\/(-54)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9326267 rounded to 1 dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45980 is divided by 3231?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:43 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 14953 and -7804.438131.\nAnswer: 7148.561869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 4*v**2 - v - 3. Let b be u(-4). Let o = b - -2. Let n be o*7*35\/21. Solve 4*q + 2*p = 10, -4*p = 5*q - 6*p - n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56356067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -215*h + 7599. Give i(37).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.2, 2\/13, 1\/2, -22, -11?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 319 = -5*x - 36, d + 2*x = -69. Let g = 71 - d. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 + 3*h + 1. Let a(f) = 6*f**2 - f - 2. Let o be a(-1). Let j(m) = -7*m**2 - 5*m - 2. Give o*w(n) + 3*j(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6885 to two dps.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p. Let h(z) = -15436984*z. Calculate h(j(i)).\nAnswer: 30873968*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/((-4)\/(-16)). Let v(u) = -u**3 + 2*u**2 + u + 2. Let h be v(k). Suppose -h*o = -2*r - 44, o + 0*o = -5*r - 11. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7)*35\/170.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/21)\/((80\/(-45))\/8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v + 151. What are the prime factors of v?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 16*h**3 + 12*h**2 - 16*h - 16.\nAnswer: 4*(h - 1)*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 85255 and -5347?\nAnswer: 90602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.2 and 14.4?\nAnswer: 204.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:49 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -16, -3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.935 + -0.065. Let x = g - -29.08. Round x to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -61. Suppose 0*y = -a*b - 3*y - 4, 4*y + 16 = 0. Determine c so that 13*c**5 + 4*c**5 - b*c**5 - 10*c**2 + 15*c**3 + 40*c**4 = 0.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, 1073, 20?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -70, -248, -542, -952, -1478?\n\"Answer: -58*t**2 - 4*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**3 + 6*a**2 - 4*a - 52. Let c(t) = -t**3 + t**2 + 10*t - 5. Let g be c(3). What is the units digit of n(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = r, 2*r + 2*m - 10 = 4*m. Let -2\/5*o - 4\/5*o**2 + 2\/5*o**3 + 1\/5 + 3\/5*o**r = 0. What is o?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 78793 = i. Calculate the highest common factor of i and 209.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25782*h**4 + 38066*h?\nAnswer: 309384*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 - 17 = 0. Suppose -2*y - i + 72 = 2*v, y + 37 = v. Calculate the remainder when 99 is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 339 - 309. Suppose 10*a - f = 4*a. What is the greatest common divisor of a and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 19 + 4 = 0. Let r(l) = -2*l + l**2 + 3*l**2 - l**3 + 0*l**2. Let d be r(z). Let k(f) = -f**2 + 5*f - 2. Determine k(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -835 take away -77?\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 358901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 964781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/2 (b) -5 (c) -4 (d) 0.796 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15288039 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a1389 - 0?\nAnswer: -3a1389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*2300\/175 + 128?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11546655, -1, 4 in descending order.\nAnswer: 4, -1, -11546655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 176*h + 3367. Determine s(27).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 315171?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.039 + 0.439. Put -0.2, 4, -3, x in decreasing order.\nAnswer: 4, x, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlq when three letters picked without replacement from {v: 2, l: 1, q: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 4*m + 19, -5*m - 17 = -4*j + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 5*s**2 - 7*s + 7. Let z be p(6). Let v(o) = -o - 4. Let d(l) = 8. Let n(g) = -21. Let h(b) = 8*d(b) + 3*n(b). Determine z*v(q) + 5*h(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 427*l - 538*l - 3*l**2 + 279*l.\nAnswer: -3*l*(l - 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/221, -1, -4, -7, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/15 + 3801\/35 + 0. Suppose u = 35*p - 26*p. Calculate the smallest common multiple of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 929470984 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -0.5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/(i*i**(1\/19)*i*i)))\/i**17*(i**(-2\/59))**(-28))**(2\/3) assuming i is positive.\nAnswer: i**(-26900\/3363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*q - 5*q**3 + q**3 + 0*q**3.\nAnswer: -4*q**3 - 26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m**(-2\/7))*m)**(-1\/8)\/(m**(-5)\/((m\/(m*m**(-1\/2)*m))\/m)) assuming m is positive.\nAnswer: m**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4912 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/(f**(-8)\/f*f)))\/f)\/(f\/(f\/(f*f**(-2\/19))*f)))\/((f**(2\/31)\/f)\/f*f)**29 assuming f is positive.\nAnswer: f**(11329\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -56. Suppose -28 = 4*j - i. Suppose k = 4*q + 613, 0 = -3*k - 0*k - j*q + 1839. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-90) + (-170)\/12. Let i(g) = 26*g**2 - 61*g + 31. Is i(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 73. Calculate the greatest common divisor of 200 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001733 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = w + 5*d, 0 = -4*w - d + 23 - 4. Let v = w - 4. Suppose -4*o - 356 = -5*s, v*s - 4*s + 5*o = -139. What is the highest common factor of 48 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3880317, -3880316, -3880315, -3880314?\n\"Answer: z - 3880318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(2\/2 - 0). Let a = -11\/15 - 683\/30. Find the common denominator of a and (3 + s)*(-38)\/64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3*k = 4*d + 16, d = -5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592) + 3)**2 + (sqrt(2) + (sqrt(2) - (-3 + sqrt(2) + -1 + sqrt(2) + sqrt(2))))*3.\nAnswer: 213*sqrt(2) + 2613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/36)\/((-219)\/(-1971))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**5 - 9724*c**4 - 11916108*c**3 - 234185904*c**2 + 327488670*c + 13293294588 = 0?\nAnswer: -2421, -18, -9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t - 8. Is 6 a factor of k(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, t: 3, a: 3, x: 6, b: 5, w: 1}. What is prob of picking 1 t and 3 b?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -33. Let r = d - 31. Let w = -34 - -33. Put r, w, 4, -1\/4 in decreasing order.\nAnswer: 4, r, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1330213001 + 11332?\nAnswer: 1330230333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3)*6)\/(4\/(-2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 - (-23 - -9))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/22 and 145\/474.\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*h**4 - 8*h**3 - 1984*h**2 + 37113294*h wrt h.\nAnswer: -408*h**2 - 48*h - 3968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (923\/(-355) - (24\/10 + -2)). What is the fifth biggest value in 92, 1, 4\/11, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 6 (b) 81 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 7*r**2 - 4*r - 7. Let g be l(6). Solve -2*s + 5 = -g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 54343974 and -0.01673?\nAnswer: 54343974.01673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*h - 1 = 0, h = 5*r - h - 29. Suppose 0 = 6*q + 13 + r. Which is the smallest value? (a) 0.1 (b) 7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w = -14 - 62 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2. Suppose 2*i = -3*q + 6, 0 - 3 = -i. Let m(j) be the second derivative of 1\/6*j**3 + 0 + q*j**2 - 4*j. Determine m(u(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 4)*(-4*m + 2*m + 0*m)*(2 - 3 - 5)*(0 - 2 + 1).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10118 + -4395. Let s = -5723.03379 + n. What is s rounded to 3 decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/12)\/((-7)\/((-196)\/(-42))))\/1\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-285 + 172 + 180)*(2 + 13 + 16)*(0 - 2*x**2 + 0).\nAnswer: -4154*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 12*s. Let c be 7 - 7\/(56\/16). Let f(h) be the third derivative of 0 + 0*h**3 + 0*h**4 + 0*h - 3*h**2 + 1\/60*h**c. Calculate z(f(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 122 + 110. Solve 18 = -2*w - 2*b - 3*b, b + k = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1057719 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -47\/2. Let h = 3.58 - 3.61. Which is the third smallest value? (a) t (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (220\/(-11))\/10*(-1)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27057836 and 1404.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654121 is divided by 43607?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 20*r + 4*r - 2*r to the form j*r + l + b*r**2 and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/25)\/m*m*m**(11\/3))\/(m*m**14*m**(9\/2)) assuming m is positive.\nAnswer: m**(-2363\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 + 80651?\nAnswer: 81097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3420 and 16740.\nAnswer: 318060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -140, -501, -1194, -2327, -4008, -6345, -9446?\nAnswer: -13419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*c**3 - 48*c**3 - 1184*c**2 + 138*c**3 - 461*c**2.\nAnswer: 32*c**3 - 1645*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 divided by -9?\nAnswer: -446\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 11. Let q = 1 - d. Sort -4, 3, q in ascending order.\nAnswer: -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37305)\/345 + 108)*(-1)\/3?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16100 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {z: 2, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.128 * -27.813.\nAnswer: -3.560064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + i. Let z be p(-3). Let d be (0 - -2) + z\/(-3). Suppose -o - 3*q = 2*q - 10, d = -4*o - 3*q + 23. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2452 - -203020?\nAnswer: 205502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -342035361*i*s*v**3 - 10*s*v**3 + 297*s*v + 15*v**3 + 27 wrt i?\nAnswer: -342035361*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(16785\/(-10))\/9?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7626*x = 7618*x + 48 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -16*r**3 - 4486*r**2 - 1676*r + 1120. Calculate l(-280).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.4 - 28. Let g = 0 - -4. Let k = w - g. What is the second smallest value in -0.2, k, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 - (-13 + (-4 + 7 - -2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 222. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - ((-74)\/(-7) - 10)*-21. Sort -20, 1, v, -5, -14 in decreasing order.\nAnswer: v, 1, -5, -14, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r - 26. Let l be c(2). Let u be (-3)\/(((-24)\/8)\/(l - -35)). What is the highest common divisor of u and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -4) + 2 + (0 - -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 298205*c + 31*c**4 + 6 + 23*c**4 - 298206*c + 3*c**2 to the form s*c**2 + o + b*c + i*c**4 + f*c**3 and give i.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.21 - -0.21. Let v = -11.5 - z. Which is the biggest value? (a) v (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -167 (b) -5 (c) -0.6 (d) -13701 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 110492.2748 to the nearest one thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 175529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4735476 and 112212?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30948 and 84.\nAnswer: 216636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 + 4 + v - 4)*(1 + 0 + 4)*(6 - 3 - 1).\nAnswer: 50*v**2 + 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47 - 12?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -f - 5*h - 0, -44 = -4*f + 4*h. Suppose 1293 = f*q + 236. Suppose 0 = 5*x + 4*u - q, -x - 4*u + 0*u + 43 = 0. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-81)\/6 + 3\/2. Let o = 14 + n. Suppose -3*j = -2*m - j + 100, 5*m - 229 = -o*j. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/((-10)\/(3740\/51)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -17*d - 2. Let z(s) = 11*s + 1. Give -5*j(g) - 7*z(g).\nAnswer: 8*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2132231 (base 5) to base 3.\nAnswer: 1212011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**7\/231 - 2*r**6\/165 - r**5\/110 - 7*r. Solve w(h) = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 0*v + 1 + 18*v**2 - 4*v + 2*v + 1. Let u be s(2). Let z(o) = -14*o. Let n be z(-2). What is the greatest common factor of n and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-1) assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8615 is divided by 221?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -f + 5, 0 = -5*o - 3*f + 18. Suppose 349 = -o*h + 361. Solve -u = 2*w - 5, h*w + 2 = 2*u - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3, 9, -8, 39 in decreasing order.\nAnswer: 39, 9, 5, 3, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 - 58*l - 8. Let p be r(15). Calculate the greatest common divisor of 594 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-567)*531\/1888.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 7301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16181*1.2.\nAnswer: -19417.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/3*(-21)\/2. Let r = 14 - p. Let a be 3*(8\/(-6))\/(-1). Calculate the highest common factor of a and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 267511, 269805, 272099, 274393, 276687, 278981?\n\"Answer: 2294*u + 265217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/30*-8)\/((-3072)\/(-320))\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0526199 litres to millilitres.\nAnswer: 52.6199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307, 526, 745, 964, 1183?\nAnswer: 1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 14686*d**2 + 66*d - 44. Let u(x) = 2098*x**2 + 9*x - 6. Calculate -44*u(r) + 6*v(r).\nAnswer: -4196*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 15*i**2 + 8*i - 5. Let s be l(-5). What is s rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -221 - -a1916?\nAnswer: a16d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 12.5. Let l = -0.5 - j. Which is the third biggest value? (a) 5 (b) 1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4875 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019a3 (base 11) in base 7?\nAnswer: 1250631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 3*x - 2*x)*(2*x + x - x)*(3*x - x + 0*x) as u*x**2 + v + g*x + d*x**3 and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10911 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -649, -619, -573, -499, -385, -219, 11, 317?\n\"Answer: 2*x**3 - 4*x**2 + 28*x - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**6\/24 + x**5\/60 + x**4\/12 - x**3\/3 - 5*x**2 - 5. Let g be z(-6). Round g to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.55, -939, -1\/4, 23?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/18)\/1)\/((-18)\/135)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 + 1062 = 34*l. Suppose 165*u - 172*u = -l. Solve u*i + 3*g = 14, -i + 6*i + 4*g - 18 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91a (base 12) to base 8.\nAnswer: -2446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 21\/(-30)*-38. Let j = p - 30. Is j > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (324\/180)\/((-1)\/5 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*h - 1239 - 441 = 0 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -23*n + 3. Let m(f) = -24*f + 4. Determine 5*h(p) - 4*m(p).\nAnswer: -19*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*g + 66, g + 4*j + 66 = 4*g. What is the smallest common multiple of 16 and g?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -249939, -499891, -749857, -999843, -1249855, -1499899, -1749981, -2000107?\n\"Answer: -q**3 - q**2 - 249942*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4 - 7 - 5 - 4 + 30*v. Calculate the lowest common multiple of j(2) and 14.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -7 (b) 0.5 (c) -8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -22, -12, 16, 68, 150, 268?\n\"Answer: k**3 - 9*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 615 and 575954265?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102860, -128, 1, -5, -3.\nAnswer: -128, -5, -3, 1, 102860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 2073*k + 4144*k - 2074*k - 4 + k**3 to t + z*k + f*k**2 + d*k**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (156\/16 - 1\/(-4)). Calculate the remainder when 229 is divided by u*253\/22*(-2)\/(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 68340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 8:30 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -8*v**3 - 194*v**2 - 1200*v - 288 = 0.\nAnswer: -12, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -102, -5, -13, 0 in increasing order.\nAnswer: -102, -13, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from ndobbqnqdbddkbd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1470, 1469, 1466, 1461, 1454, 1445?\n\"Answer: -f**2 + 2*f + 1469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 59.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -c - 4*z + 5, c + 15 = -z. Let u(q) = -68 - q - 2*q - 24 + 38. Let a be u(c). Solve m - 16 = -a*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**3 + 8*u**2 - 137*u + 2. Let h(s) = 7*s**3 - 14*s**2 + 137*s - 3. Determine 2*h(j) + 3*q(j).\nAnswer: -j**3 - 4*j**2 - 137*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 132*c**2 + 391*c + 530. Give a(-129).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2534858 != -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1202*l**2 - 5*l + 1768 wrt l.\nAnswer: 2404*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 11. Let i be f(0). Suppose 154 = 12*w - i*w. Suppose 0 = 2*l - 5*m - 77 + 43, 3*m = 3*l - 60. What is the highest common divisor of w and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39058 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 17 = -5*x + 12, -2*w - 2 = 2*x. Solve 3*i + 10 + 5 = w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 15*v - v)*(-2 - 2 + 0)*(-2 + 2*v + 2).\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**5\/20 + 17*l**4\/24 - 23*l**3\/6 + 2*l**2. Let y(h) = 13 - 19 - h**2 - 6*h + 6 + 8. Calculate 6*w(c) + 17*y(c).\nAnswer: c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -3*b - 49. Suppose 0 = 6*c - c - 210. Let l = b + c. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3535 - -45015?\nAnswer: 52554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 6:41 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - -2)*(0 - 4). Factor 32*v + 110*v - 386*v + 29 - f*v**3 - 256*v**2 - 89.\nAnswer: -4*(v + 15)*(2*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 7*m - 22 = 0. What is the units digit of 2072\/m + 18\/(-99)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1788332 divided by 1788332\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. Suppose -p*k = -0*k. Solve -2*a + 3*j + 17 = -k*j, 4*a = -5*j - 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 602536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*m**2 - 29278*m - 3253.\nAnswer: -(m + 3253)*(9*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r + 26*r = -168 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064 - 1310224137?\nAnswer: -1310224137.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 + 52\/6)*2\/(-8). What is the nearest to z in -3, 5\/2, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + 84*x**2 + 449*x + 351. Calculate s(47).\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**7\/30 - 17*x**6\/15 - 13*x**5\/15 + 1438*x**2. What is the third derivative of r(u) wrt u?\nAnswer: -168*u - 816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 1 - 3*o + 3*o**2 + (853 - 256 - 280)*(0 + 0 - o)*(-2*o - 2*o + 5*o) in the form k*o + z + s*o**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -757*r + 1973*r + 937*r.\nAnswer: 2153*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1084\nAnswer: 3\/1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*u + 119*u - 482*u.\nAnswer: -479*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/25 or 0.01554299?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(684) + -3*sqrt(684) + 3)**2.\nAnswer: -72*sqrt(19) + 2748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -6*z + 32. Let n = z - 32. Let a = 4 - 3. Sort -2, a, n in decreasing order.\nAnswer: a, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2666*y - 99909 - 12063 = 0 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m*m*m**(-2\/43)\/m*m*m*m**(1\/12))\/((((m\/(m*m**(2\/3)))\/m)\/m)\/((m*m**(-14))\/m)) assuming m is positive.\nAnswer: m**(-911\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 6. Let f be n(-8). Suppose 3*p + f = 8. Suppose 2*g = -3*h + 46, 5*g - p*h = 2*g + 82. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (600\/15200)\/(18\/(-57))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express 94*k**2 + 2*k - k**4 + 3*k**3 + 92*k**2 - 1 - 291*k**2 + 94*k**2 - 5*k**3 as b + l*k + d*k**2 + a*k**4 + p*k**3 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*u + 4*z + 20, -2*u + 26 = -5*z. Suppose 14 = -u*k + 4*t + 6, -2*t = 3*k - 4. Suppose 2*b - 11 - 3 = k. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.7 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(343))**2 + sqrt(343) + (sqrt(343) - (sqrt(343) + -2 + 3)) + -3 + (-1 + 2*(2 + sqrt(343))*3)**2.\nAnswer: 889*sqrt(7) + 12817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 60. Suppose -5*m = -3*h - 4*m + 24, -2*m + z = 5*h. Let w = h + 3. Calculate the highest common factor of w and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -2*p - 16, 0 = p - 4*g + 77 - 69 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/10 - 2) + 9\/(-6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 10*h + 260 = 0. Let o = h + 391\/3. Sort 23, o, 3, -0.4.\nAnswer: -0.4, o, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 + 5*n**2 - 13*n**2.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 929.6008 days?\nAnswer: 1338625.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**2 + 18*h - 24 = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (5 - 7) + 8 + -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - p**2 - 2*p + 3659. Suppose -3*h - h = -6*h. Is w(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13569787?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43323 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: Four letters picked without replacement from oaoooaa. What is prob of picking 3 a and 1 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(30\/(-6))\/10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44486 - 44464. Let w(v) = -v**3 - 2*v**2 + 7*v + 4. What is the lowest common multiple of w(-5) and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g - 1. Let h(p) = -4*p - 1. Let r(b) = 3*d(b) - 2*h(b). What is r(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -2. Suppose z - 4 = o*r, -4*r - z + 1 = -3. Suppose -5 = -l - 5*k, 41 = 4*l - k - r*k. What is the greatest common divisor of 15 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*f - v, 0*v - 3*v - 7 = -f. Is -5 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/381 - -788\/4953. Let f(d) be the second derivative of -d**3\/3 - 2*d**2 + 4*d. Let x be f(-3). What is the nearest to 2 in w, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13 - -6) + (2 - 2 - -3). Suppose -3*o = -4*w + 65 - 40, -3*o = -w + r. Put -0.3, 4, 0, o in increasing order.\nAnswer: o, -0.3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -80 + 98 + -12 + -1. Solve -5*f + 13 = 2*b, -6*b + 23 = s*f - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9503266*p**3*t**3 - 104051*p**2*t + 33*t**3 wrt p.\nAnswer: 57019596*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 108870*x**2 + 10253661*x - 241116768.\nAnswer: -3*(x - 47)**2*(x + 36384)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/15 - (((-56)\/(-8) - 1) + -7).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (92 - (108 + -74)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by (-13)\/351 - 109\/(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**6\/450 + 2*m**5\/75 + 2*m**4\/15 - 4*m**3\/3 - 2*m**2. Let z(d) be the first derivative of r(d). Solve z(a) = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75836620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-8 + 15 - 0) + 10 + -33 + 24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*n - 10. Let p(q) = q - 1275 - q**n + 1254 + 0*q**3. Calculate p(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 27360*b + 18357435.\nAnswer: 5*(b + 783)*(b + 4689)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 3*s**2 - 3*s**2)*(-10*s**2 - 4*s**2 + 18*s**2) - 2*s**4 + s - s.\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 4*r + 13. Let p be i(-6). Let d be 1\/(-5) - (-76)\/80. Let x(v) = -v - 4. Let z be x(-5). Which is the closest to p? (a) z (b) d (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3\/2 (c) -5 (d) -4\/5 (e) -0.0431 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.3 - 7.307965. What is x rounded to 4 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2541) + 1*sqrt(2541))*1 - (-1*2*sqrt(2541) + sqrt(2541)))\/((-4*sqrt(15)*-2)\/(-2*(sqrt(5)*-2 - sqrt(5)) + sqrt(5))).\nAnswer: 231*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 609812 a multiple of 812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccn when three letters picked without replacement from cacancnxcaanaaxxn?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - p**4 + 0*p**4 + (-3*p + 4*p - 3*p)*(2*p**3 + 2*p**3 - 2*p**3) + 18*p**4 + 158*p**4 + 5*p**4.\nAnswer: 176*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357355 is divided by 2786?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 10424 = -10294 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -608 divided by -779\nAnswer: 32\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10656 and 4536?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -611517 = -611765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -122509.5065 rounded to the nearest 1000?\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.2 at least as big as 141\/1540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((126\/(-20)*12\/9)\/(2740\/3425)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3110.91848 to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*x + 6, 5*x + k - 8 = 3*k. Suppose 2*l + 4*g = -33 - 17, x*l = -2*g - 40. Let w be (4\/12)\/((-1)\/l). Solve 2*i - w = 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + -8 + -11 + 5 + 29 - -13?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5\/5 + 356*a**4\/5 - 2461*a**3\/5 + 6302*a**2\/5 - 6988*a\/5 + 2792\/5 = 0. What is a?\nAnswer: 1, 2, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -568002, -1136629, -1705256, -2273883, -2842510, -3411137?\nAnswer: -3979764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-28) - (-12)\/(-42). Which is the nearest to -2? (a) s (b) 3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*v + 39*v + 451*v = 155*v + 16140 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -19*x. Suppose x = -9*r + 12 + 15. Determine m so that m**2 - r - 5 + 8 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884393832?\nAnswer: 2, 3, 7, 37, 73, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 13 - 14*v + 10.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3988 = 653*n - 20966 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 8. Suppose 0*s - s = 4*c - 7, 5*s - 1 = -3*c. Suppose -3*h - 9 = -i, -c*h + 0*h = 0. What is the highest common divisor of i and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -710, -3525, -8216, -14783, -23226, -33545?\n\"Answer: -938*i**2 - i + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2 + 3 + 3*n + 12*n**2 + n**3 - 8*n**2. Suppose -2*m = 10 - 6. Let s be ((-3)\/2)\/(m\/(-4)). Give v(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/55? (a) -9\/22 (b) 6 (c) 2\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 0.49, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 285 - 282. What is the closest to -2.8 in 0.4, -0.02, v?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 0.\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111 + -51. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -501 + 1015. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 42*n + 59. Let y be b(-27). Let p = y + 397. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3)*(0 + 0 + l) + 6*l - 8*l + 4*l + (3 - 1 - 1)*(0 + 0 + 1)*(-3*l + l + 0*l) to i*l + a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 + 0*j**2 + 2*j**5 + (-4989*j**3 - 238716*j + 238716*j)*(-2*j**2 + j**2 + 2*j**2).\nAnswer: -4987*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhhh when four letters picked without replacement from {q: 1, o: 5, l: 6, h: 3, e: 2}?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -65669 divided by -78\nAnswer: 65669\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1766642 = 3*y, -23*b = 2*y - 21*b - 1177758. Suppose 22*z - y = 89056. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i - 52. Let k be v(-10). List the prime factors of 2\/(k\/(-2)) + (39 - -974).\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 0*d - 662*d**3 + 226*d**3.\nAnswer: -436*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 341 - (4 + (-2 - -4)). Suppose -4*d - 432 = -5*u, f = -3*d - u + 2*u. Is d bigger than -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 3*g**2 + 9*g + 7. Let d be m(5). Find the second derivative of -1 + 0 + 2*k**3 - 54*k + 61*k - 32*k**d wrt k.\nAnswer: 12*k - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2. Let s(q) = -300*q**2. Give w(s(n)).\nAnswer: 180000*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*l - 3*s - 74 - 4, 3*l - 406 + 345 = 5*s - 0*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 + 2*g**2 - 4*g - 5. Determine l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 21*c - 74. Calculate l(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 9, -3, 3, 7633 in ascending order.\nAnswer: -3, -2, 0, 3, 9, 7633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 883403 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 18 - (0 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1167 - 28*x - 34*x + 101*x - 30*x.\nAnswer: 9*x - 1167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 30, 31, 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 16) to base 2.\nAnswer: -1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 7*w - 4. Suppose -16 = m - 23. Suppose 4*v = 5*v - m. Let u = -2 + v. Determine b(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9691381 decades to years.\nAnswer: 9.691381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02992650272 to six decimal places.\nAnswer: -0.029927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 4:34 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-732))\/((-9)\/18*520\/195).\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 5*x + 4. Let l be n(2). Is 35\/6 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = y - 18, -140*y + 12 = -136*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187084?\nAnswer: 2, 46771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 1\/900*n**6 + 0*n**3 - 2*n - 2\/225*n**5 - 16*n**2 + 0 + 1\/60*n**4. Determine c, given that y(c) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 65*(2 + 18\/(-15)). Suppose 0 = 2*t - 4 - v. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 644 and 1148.\nAnswer: 26404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 2. Let x be c(0). Suppose -x*q + 10 + 4 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 899, 900, 901?\nAnswer: 902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 488475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2*l - 3*c = 9, -3*c - 21 = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 442063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 72*d - 359. Let x be u(5). What is the third smallest value in x, 122, -2\/23?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (465\/2790)\/(1\/(-2)*-1). Let n = 279\/2 + -137. What is the fourth biggest value in r, -5, n, 0.28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + 1. Calculate the remainder when 98 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3144*b**4 - b**3 - 11521*b**2?\nAnswer: -75456*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**6 - 172968*l**4 + 3*l**3 + 96027505*l**2 wrt l?\nAnswer: -120*l**3 - 4151232*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 16*h - 2 = 19*h, -4*h = -5*l + 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26312\/(-5313)*17\/(68\/(-6))\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 - 10*o + 32. Give i(-7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*d - 3*d - 176. Suppose v = 1, -9*o = -7*o + 5*v - d. Solve -3*b + 4*u - 6 = 6, -o*u - 8 = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -17460.\nAnswer: -1\/2910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -1)*5\/(-2). Let c = r + -1. Suppose -c*k + 210 = k. Calculate the greatest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 5*x**2 - x - 5. Let n be l(-5). Suppose 4 = -n*j - j. Let z be 52\/39*(-1)\/j. Which is bigger: 2\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8660 is divided by 2172.\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 340353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-931 + p - 4*p + 925)*(9 + 8 - 11) as t*p + c and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 156095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 1 = 5*q. Which is greater: q or -15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 82.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 983 + -980. Solve -5*f + 4*o + 8 = 0, 0*o - 4*o = -c*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 234 = 3*w - 198 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -22*w**2 + 817*w + 8. Let f(q) = 3*q**2 - 117*q - 1. What is 30*f(b) + 4*o(b)?\nAnswer: 2*b**2 - 242*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/6*(-6)\/(-4). Let y be 5*(24\/v)\/3. Let b be (20\/16)\/(1\/y). Sort 0, b, -4 in descending order.\nAnswer: 0, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 21 + 46)*(25*v - 23*v + 65*v + (4*v + 0*v - 2*v)*(-2 + 3 - 5)).\nAnswer: 236*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1501\/(-1) + 1)\/((-24)\/96). Suppose -5*p - q + u = 0, -4*p + 4771 = -5*q - 0*q. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 1:02 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -39)\/(-1 - 1). Let h be 2*(1 + -1 + 2). Suppose n - 2 = -h*t - b, 2*n = -2*t. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20367 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 4 = -4*m. Let a(j) = -5*j + 62. Let x be a(12). Sort -4, 18, m, x in descending order.\nAnswer: 18, x, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 5. Let x be n(0). Let i = 0.24 - -0.06. Which is the nearest to 0.1? (a) x (b) i (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*u**2 - 108*u**2 + 48*u**2 + 30*u**2 - 2054*u + 6450*u to the form f*u**2 + q*u + y and give q.\nAnswer: 4396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5637224*c**2*g**3 - 10483171*c**2 - g**4 wrt g.\nAnswer: 16911672*c**2*g**2 - 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**5 + 444*i**4 + 5140*i**3 + 4260*i**2 - 5144*i - 4704 = 0 for i.\nAnswer: -98, -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -489.372 + -2.628. Is w >= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6\/24*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 2*f - 20. Suppose -4*c + 7 = 19. Let a = -7 - -11. Sort c, f, a.\nAnswer: f, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1145 - -1145. Which is smaller: -9\/11 or n?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*b = -26, y + 3*b = -4*y + 89. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -294 - -293.951. Let l = -3.951 + x. Put l, 0.5, -6\/5 in decreasing order.\nAnswer: 0.5, -6\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 3*s + s. Let r(x) be the second derivative of -1\/60*x**6 - 3\/40*x**5 + 1\/2*x**2 + 1\/4*x**3 + s - 1\/24*x**4 - x. Factor r(f).\nAnswer: -(f - 1)*(f + 1)**2*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-1 + -2 + 1). Let q = -3 + 2.5. Sort -2\/9, b, q.\nAnswer: b, q, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -1\/4, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 1 - 4)*(4*a**2 - 3*a**2 - 2*a**2) + a**2 - a**2 - 3*a**2 - 3 + 3 - a**2)*(a - a + a**2 + (0 - 2 + 0)*(-a**2 + 2*a**2 + 0*a**2) + a - a - a**2).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2107 and 1075?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7184586 meters?\nAnswer: 718.4586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 42 - 26 = 22*a, 28326*z - 28330*z = -a - 34 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 - -187. Let o = 42.4 - b. Round o to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 76*k - 234 = -75*k, 18 = -3*k. Solve 0 = 2*r - l*s + 225*s - 2, -s = -r + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.06 - -131.94. Let t = -132.9742 + y. What is t rounded to three dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**4 - 234*w**3 - 5109*w**2 - 19710*w + 61776 = 0.\nAnswer: -39, -33, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134 (base 6) to base 13.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 15 = 4*v, 2*v + 5*f = -2*v + 25. Let m be (v - -4)\/(-1 - (-15)\/6). Suppose -m*y = -3*y, 0 = r + 3*y - 4. Solve 0 = -r*u + 3 + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = k - 4*o, -o + 0*o = 3*k - 24. Let s(q) = 0*q + 6*q + q - k*q. Let v(u) = 0 + 0 - 2*u. What is v(s(z))?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 431 - 427. Suppose 9*d + 2*q = a*d + 14, 5*q - 1 = -4*d. Let l be 1 - (0 + (-2)\/2). Solve -d*w + 5*p = 25, -l*w - 4*p + p = 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 9802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 411253*k**4\/8 + k**3 + 2*k**2. Let d be j(-6). Let y = d - -3802548. Round y to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 9:48 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Suppose -26 = -4*r + 4*s + 46, g*r = 3*s + 94. What is the least common multiple of 10 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**3 - 1740*v**2 + 19441*v + 315180 = 0.\nAnswer: -1751, -9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 226 - 95. Let h = k + -85. Calculate the remainder when h is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggb when four letters picked without replacement from {g: 9, b: 8}?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 5*p**2 - 3*p - 10. Let d be n(-5). Let j be 24 + (d\/(-2) - 1\/2). Calculate the highest common factor of 14 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.996576ns to milliseconds.\nAnswer: 0.000006996576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14784?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/12*-3)\/((-24)\/(-18)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.1238468kg?\nAnswer: 0.0001238468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/66)\/(3\/(-9)). Suppose -5 = -u - 4. Let d = -2.9 + 2.8. Which is the biggest value? (a) u (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-27) - 29\/(-9). Suppose -o*d - 35 = -5*f, -3*f - 10 = -5*d - 47. Suppose -5*h + 218 = 2*p - 13, f*h = -p + 114. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v - 30. Let l be n(10). What is the common denominator of (90\/l)\/(16\/70) and -2 - 1\/(14\/(-50))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -u**3 + 38484735*u**2 + 17316652 wrt u?\nAnswer: -3*u**2 + 76969470*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5000 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-2342.\nAnswer: -70260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-14)*(-14)\/(-4). Let v(n) be the third derivative of -1\/30*n**5 - 1\/24*n**4 + 1\/120*n**6 + 1\/3*n**q + 0*n + 0 + n**2. Factor v(s).\nAnswer: (s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(5\/7)*g*g*g*g**15)**(-2\/13)\/((g**(1\/4))**(-34))**(-26) assuming g is positive.\nAnswer: g**(-20387\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23797.\nAnswer: 53, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475*q**2 - 847*q**2 + 1323*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 16*k + 1289. Let o(s) = 3*s - 18. Give 5*o(n) - r(n).\nAnswer: -n - 1379","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -s - s - 22, 3*v = -2*s - 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32632367 to the power of 1\/2, to the nearest integer?\nAnswer: 5712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 29. Calculate n(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*t + 7, -7*t + 2*t - 2*s - 11 = 0. Let q = t - -5. Let d(c) = -12*c - 94. Let x be d(-8). Solve 0 = 4*w + q*h + 2, w + x = -2*h - 0*h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197783, -395572, -593369, -791174?\nAnswer: -988987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4073*t**2 + 27934 + 27949 - 55883 + (-1 + 0 + 0)*(5*t**2 - 6*t**2 - t**2).\nAnswer: -4071*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Suppose 35 = 5*d + 5*v, x*d - 3*v - 2 = 5. What is a in 2 + 14*a**4 + 12*a**d - 4*a**2 - 24*a**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -7*k + 3*k - 8, -10 = 4*k - 3*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-7))\/((-5128)\/16 - 5). Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 18. Let r be l(8). Suppose -5*c + 55300000 = r*c. What is c rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -20*c**3 - 12*c - 3. Let j(d) = d + 1. Let q(s) = -3*j(s) - o(s). Find the second derivative of q(x) wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 83 (b) -1 (c) 2.91 (d) 7\/50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3990)\/154 - 546\/(-21) - 1432\/22\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -5*(sqrt(425) - sqrt(425)*-1 - sqrt(425)) + 5*(sqrt(425) + 0)*-2)*-4)**2*2.\nAnswer: -24000*sqrt(17) + 3060800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Convert -10331f (base 16) to base 15.\nAnswer: -15e878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12615683 and 87468?\nAnswer: 5601363252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13 or -0.03796641?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 286277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14135 + -0.08. Let c = -0.06 - 0. Let d = c + u. What is d rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8904.39 + -8995. Let l = -17 - -107. Let r = z + l. What is r rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.85, 37, -1\/8, -4, -0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 = -0*r - 5*r, -b - 3*r - 13 = 0. What is the remainder when 12 is divided by 21\/(-2)*b\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101525 and -3.\nAnswer: 304575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2251 = -f - 2255, 0 = -2*f + 4*t + 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(10\/9)\/(((k\/(k\/((k*k\/k**(-9\/5))\/k)))\/k)\/k) assuming k is positive.\nAnswer: k**(14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -71.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - -6*(-1)\/2. Let k(r) = -3*r**2 + r**2 + 6*r - 4*r**2 + 2*r**m. Let x(h) = -9*h**2 + 13*h. Determine 13*k(u) - 6*x(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497 - 1297 = 100*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.36 - 12.36. Which is the second biggest value? (a) 23 (b) l (c) -0.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1725, 3318, 4889, 6432, 7941, 9410?\n\"Answer: -o**3 - 5*o**2 + 1615*o + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l**2. Let w(v) be the second derivative of 0*v**3 + 0*v**2 + 3*v + 1\/6*v**4 + 0. Give w(m(g)).\nAnswer: 200*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2299 + -2298. Which is the smallest value? (a) 0.4 (b) 2\/17 (c) g (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.426 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 5*q**2 + 5*q + 6. Let w be o(-4). Let n(y) = -y**3 - y - 2. Determine n(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 66 = 6*a. Calculate the remainder when a is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 198*v**2 - 2*v - 2. What are the prime factors of b(-1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.26 + -28. Let n = 0.16 - y. Let i = 3.5 - 3. Which is the second smallest value? (a) -4 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.02 - 0.2407585.\nAnswer: 1.7792415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88*i - 5594\/5*i**2 - 8\/5 - 2508*i**3 - 6498\/5*i**4.\nAnswer: -2*(i + 1)**2*(57*i - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 165 - 162. Let r = 96 + -90. What is the biggest value in r, 0.4, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c - 5. Let y(q) = -4*q + 3. Let m(v) = 5*y(v) + 3*z(v). What is the units digit of m(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 348 + 316 + 504*d**2 - 665 to the form n*d + s + j*d**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zickzcckcckic. Give prob of sequence ccc.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/68 and -49\/17.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poe when three letters picked without replacement from oxqpepux.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/3 - i**3\/2 - 3*i**2\/2 + 26*i - 1. Let y(k) = -3*k**2 + 2*k + 2. Give 4*g(b) + 6*y(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(20*z - 20*z - 4*z**2) + (-2 + 2 + 2)*(2*z**2 - z**2 - 2*z**2).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2. Let y(g) = -6*g**2 - 932. Calculate f(y(n)).\nAnswer: -36*n**4 - 11184*n**2 - 868624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -153, -4, 4, 0, -2, -98 in increasing order.\nAnswer: -153, -98, -4, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.4 - 103. Let c = k + 63.6. Sort 0.3, c, -30 in increasing order.\nAnswer: -30, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32450 divided by -5\nAnswer: -6490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121.59 + 118.59. Let k(s) = 27*s**3 + 2*s**2 + 2*s + 1. Let l be k(-1). Sort l, -4, -0.3, f.\nAnswer: l, -4, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73108373 and 1?\nAnswer: 73108373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 1. Let s(y) = -5*y + 1. Let n(b) = 4*h(b) - s(b). Let a = 3 + -4. Let p(l) = -1. Let q(w) = -w**2 + w. Let z be q(2). What is a*n(f) + z*p(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neiu when four letters picked without replacement from iuenccc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 650.8 + -650.8. Is 7243 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 2. Let b be s(-1). Let l be -269 + (-2)\/(b - 0). Let v = -185 - l. What are the prime factors of v?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*-6*(2484\/(-702))\/46?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**2\/9 + 52*u\/9 + 50\/9 = 0.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**4 - 828*h**3 - 312156*h**2 + 3208588*h + 3519912 = 0?\nAnswer: -201, -1, 11, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.019 - 9.\nAnswer: -5.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -2*z**2 + 28*z + 422. Let w(l) = -8*l**2. What is w(q(u))?\nAnswer: -128*u**2 + 1792*u - 6272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 9*g**2 - 5. Let a be 90\/25*10\/(-4). Let h be r(a). Sort -0.1, 8, h.\nAnswer: h, -0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9*p**3 + 31*p**3 - p**2 - 23*p**3 + 53*p**3 + 88*p**3.\nAnswer: 140*p**3 - p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 7499*m - 60052. Calculate u(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 11 = -3. Suppose 0 = 4*r - 3*r + y*q - 14, 70 = 5*r - 5*q. Solve -5*n = 3*p - 6*p + r, 4*p + 12 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2913135\/109 + 26726. Do i and 28 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -50. Suppose 21*l - 18*l - 27 = 0. Calculate the remainder when (3\/(-6))\/((-3)\/34)*k is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwu when three letters picked without replacement from {l: 2, u: 10, w: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2\/3 + 52\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 19 = -3*b - l, 4*l + 17 = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(1900)*-1*6 - (sqrt(1900) - 4*sqrt(1900)*-2))*2)**2)*6.\nAnswer: 10260012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -155, 0, -0.2?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7781\/7 - -1115. Let g be (-66)\/(-17) - 108\/(-918). Is g smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2897 - 2897.000035896. What is b rounded to seven decimal places?\nAnswer: -0.0000359","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 665 and 4305?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 20 = 5*w - 0*w, -4*u = 5*w + 2. Which is the smallest value? (a) w (b) -1 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:33 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-11)*f)\/(f**(2\/17)\/f))**(2\/3) assuming f is positive.\nAnswer: f**(-310\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 155 = 4*y. Let w be (-362)\/((-1)\/(-1) + y\/(-8)). Let v = w + -91. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**6\/180 - o**4\/12 - o**3\/3 - 2. Let j(l) be the third derivative of z(l). What is the first derivative of j(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2224221 (base 5) to base 9\nAnswer: 58828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130 + -122. Suppose -y = a*y - 765. Suppose -15 = -5*j + y. What is the remainder when j is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 = 4*i - 38*b, 26487919*i - 26487918*i - 21 = 4*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g - 86 = -u, 0 = -2*u + 2*g + 148. Differentiate 6 - u - 32*j**4 - 50*j**4 with respect to j.\nAnswer: -328*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.669583 + 2.67. Round q to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89652031379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2331 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 + 18*k**2 + 2. Let u be b(9). Let r be u\/(4\/(-6)*3) - 2. What is the second smallest value in -14, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f026d - -3?\nAnswer: -f026a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - 4. Let d(j) = -6*j**2. What is d(w(p))?\nAnswer: -24*p**4 - 96*p**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38)\/(-1976)*52*42\/(-653). Is 1 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 - j + j + 3*j - 2*j**3 - 3*j + 0*j**3 - j**3 - j**3 - 2*j**2 + 2*j**3 + 2*j**2 + (5*j + 0*j - 4*j)*(0*j**2 + 0*j**2 + j**2))*(13 - 10 + 9).\nAnswer: -48*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Suppose 4*q - 4*z - z = -1, -5*q = -2*z - d. Let c(x) = 3*x**2 - 8 + 7 + q. Let m(i) = -2*i. Determine m(c(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3568.3 to the nearest ten.\nAnswer: -3570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}