diff --git "a/data/dm_maths/full_data_2/1025_11255.jsonl" "b/data/dm_maths/full_data_2/1025_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1025_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o be (-6 + 0)\/(-2) - -1. Let g = -2 + o. Suppose -g*i + 5*i = 9. Solve -i*b - 3*y = 0, 3*y + 1 = -3*b - y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -227520 * -0.6.\nAnswer: 136512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 380332599 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 34 (b) 3 (c) -1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q = -71*q - 3230. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 136 + -2?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.4 + 10.3873.\nAnswer: -16.0127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/512226 and 83\/72.\nAnswer: 2048904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5. Suppose 5*u = 3*v - 11, 2*u = 4 - 0. Let j = v + o. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 13*d + 37. Calculate the remainder when a(11) is divided by -38*1\/(-2) - -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*u**2 - c**3*u - 11*c**3 + 3*c**2*o**3*u - 2*c**2*u + 11*c*o**3*u**2 wrt u.\nAnswer: -2*c**3 + 22*c*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgggggdgggddgdggdgg. Give prob of sequence gdgg.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91 (base 12) to base 6.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**5\/5 - 14*d**4\/5 + 163976*d**3\/5 = 0.\nAnswer: -412, 0, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 - -193.53\nAnswer: 193.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60718*c - 1550 - 650 = 60766*c + 56 for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 2*j**5\/25 + 6*j**4\/5 + 26*j**3\/5 + 28*j**2\/5 + 128. Factor f(u).\nAnswer: 2*u*(u + 1)*(u + 4)*(u + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 6. Let b be f(-6). Suppose -130 = -3*d + u, -340 = 140*d - 148*d + 4*u. Let i be (b - (-10)\/6)\/(d\/(-135)). Is -5 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((116\/87)\/((-8)\/10))\/2\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + 4*((4*2*sqrt(832))**2 + 5 + (sqrt(832) + 1)**2)*5*5.\nAnswer: 1600*sqrt(13) + 5408596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -469.4 + 364. Let l = t - 2.6. Let d = -109 - l. What is the fourth smallest value in -3\/8, 0.2, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/(k\/((k*k\/(k\/(k\/((k*k**(-7))\/k*k))))\/k*k)*k))**(-6\/13)\/(k**(1\/7)*k\/((k**6*k*k)\/k))**(8\/5) assuming k is positive.\nAnswer: k**(2584\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8082325 is divided by 237713?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1\/6 (b) 0.22 (c) 1\/22 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 4:41 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895169 is divided by 1917.\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/((-3)\/(-4)). List the prime factors of w\/4 + 9456\/32.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**4 + 2840*t**3 - 514015*t**2 wrt t.\nAnswer: 48*t + 17040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 39, 56, 75?\n\"Answer: a**2 + 12*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 5*s + m, 4*s = 2*s + 5*m - 39. Let h be (-1202)\/(-10) - 12\/(-15). Let u = h + s. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 - 6 = -4*l, 5*l = 4*n + 29. Let y(v) = -12*v**2 - 4*v**3 + 4*v - 3*v**2 + 4 - l*v + 11*v**2. What are the prime factors of y(-3)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, r: 1}. Give prob of picking 2 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 228 - -0.056.\nAnswer: 228.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/9 - 20\/9*p + 2\/9*p**3 + 2\/9*p**2.\nAnswer: 2*(p - 2)*(p - 1)*(p + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1693, -1693, -1695, -1699, -1705, -1713, -1723?\nAnswer: -1735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074*l = 1254*l - 2886*l - 194832 for l.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 660*z**2 - 243*z**2 + 3*z**3 - 164*z**2 - 247*z**2.\nAnswer: 3*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -141, -196, -301, -462, -685, -976?\n\"Answer: -q**3 - 19*q**2 + 9*q - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -641a (base 13) to base 2\nAnswer: -11011000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 6:23 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from iiiiioii?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/5 of a decade?\nAnswer: 1368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 18*l + 66. Let q be z(11). Calculate the greatest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -334643 and -72.86449.\nAnswer: -334715.86449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*w - 0. Let j(b) = -w + 0*b - b - 9. Suppose -a + 2 = -3. Let r(l) = l + 7. Calculate a*j(d) + 7*r(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**2 + 13*k**2 + 2 - 85*k**3.\nAnswer: -85*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((6\/(-18))\/(-1))\/((-4)\/(864\/(-1))). What is the greatest common divisor of 6456 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -271723410 divided by -15983730\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -52. Suppose r*w - 10*w = -147. Let p be (-6)\/2 - 6*-11. Calculate the greatest common divisor of w and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*z + 105962 = 110147 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (54\/(-45))\/((-6)\/620). Let f be (-8)\/6*15\/(-5). Suppose -5*u = -u - f*c - v, 5*u + 4*c - 137 = 0. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 39 - 84 + 44. Let t(v) = -7. Let h(q) = -q + 14. Let w(p) = -h(p) - 2*t(p). Calculate -2*u(x) + w(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -154162.8+0.025\nAnswer: -154162.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*k + 16. Let o(q) = -q**2 - 9*q - 11. Let h be o(k). Let m = 31 + h. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 + 42*x**4 - 696*x**3 + 5680*x**2 - 22800*x + 36000.\nAnswer: -(x - 10)**3*(x - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-1 - -1) - -2. Let b be (q\/27*3)\/(-1)*-1. Put b, -4\/3, 0.2, -0.5 in increasing order.\nAnswer: -4\/3, -0.5, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74935 is divided by 3406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 + 720*s**2 + 5676*s + 11342. Let r(w) = 4*w**3 + 1441*w**2 + 11358*w + 22687. Let k(v) = 11*b(v) - 6*r(v). Find y such that k(y) = 0.\nAnswer: -355, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 16*s + 6, -1 = -s + 2*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4*-10*(-15)\/(-5100)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 24955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhhf when four letters picked without replacement from hfhf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 4*f + 1 - f**3 + 23*f - 6*f - 20*f - 19*f**2 to the form k*f**3 + v*f + j + i*f**2 and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 14028.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.1798 days in weeks?\nAnswer: 45.3114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/24)\/((-80)\/(-60)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - -9 - (1 + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12740?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 240?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0103608812 to six decimal places.\nAnswer: 0.010361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93 + -272. Let q be (-2685)\/9 + -3 - 10\/(-30). Let g = q + m. Round g to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*q**2 + (2*q + 1 - 1)*(2*q - q + q) + (50492 - 50492 - 502*q)*(2 - 6 + 3)*(-q + 4*q - 2*q).\nAnswer: 504*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 12:36 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 40*p - 1271. What is w(32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217*m**4*r - m*r + 2*m - 8*r wrt m.\nAnswer: -2604*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*j**3 - 25*j**3 - 32*j**3 - 22*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(4 + (-14)\/3). Let m(w) = -170 + 14*w - 169 + 354. List the prime factors of m(n).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(85) + (sqrt(85) - sqrt(85)*-2*-4 - sqrt(85) - sqrt(85)))\/((sqrt(5)*-2 - sqrt(5))*-6) + -5*-1*sqrt(833) + 2 + 4)**2.\nAnswer: 1244*sqrt(17)\/3 + 1647416\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15273 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/(-36))\/(8\/18). What are the prime factors of c\/(3\/(-180)*-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 2 + 3)*(3 - 3 - 2*c) + (-2 + 3 + 2)*(3*c - 3*c - 4*c))*(355 + 72*c - 355)*(-1 + 0 - 3)*(-3 + 2 - 1) as t*c**2 + f + g*c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*s - 42*s + 83*s)*(2*s**2 + 0*s**2 + 0*s**2) + (6*s**2 - 3*s**2 - 5*s**2)*(0 - 5 + 4)*(-1 + 1 - 2*s).\nAnswer: 134*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -13*n + 117. Let l(q) = -922*q + 63. Let z(t) = 739*t - 62. Let h(d) = 4*l(d) + 5*z(d). Give -11*h(a) - 6*w(a).\nAnswer: a - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 1. Let r(t) = -2 - 2*t - 6*t - 6 + 31 - 16. What is -r(d) - 6*u(d)?\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5100707 (b) -1\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 517\/2*56\/10. Let p = -1457 + i. Let z = 904 + -5405\/6. What is the common denominator of z and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 3*o - 6. Let b be m(-5). Suppose 8773 = -b*d - 407. Let z = 13733\/6 + d. What is the common denominator of z and -51\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 5*f - 10, 0*y + 7*y - 5*f = 27 - 41 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**2 + 504745*d + 504740 = 0. Calculate d.\nAnswer: -100948, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - y - 47 = 0, -4*h - 77 = -9*y + 4*y. Let u be 0\/(-2) + 61460\/(-32). Let o = 1930 + u. Calculate the common denominator of o and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -11*f + 33. Let v(l) = 9*l - 32. Let z(s) = -3*g(s) - 4*v(s). Let w be z(15). Which is greater: -17 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64480 and 929690.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 171000004\/6 + 4\/(-6). Suppose 2*j = -3*j + n. Round j to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4443 is divided by 2216.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371 = 46*h - 1429. Suppose -2*q = 3*g - 6*q + 24, 4*g - 3*q = -39. Let u = g - h. Which is greater: u or -36?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13449, -26897, -40323, -53715, -67061, -80349, -93567, -106703?\n\"Answer: 2*w**3 - w**2 - 13459*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78.13928 - -4098.\nAnswer: 4019.86072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 4. Let k be y(-7). Let n = 30 + -21. Suppose r + j + n = -j, -r = 5*j + 18. Sort k, r, 4 in ascending order.\nAnswer: r, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12882522*0.7.\nAnswer: 9017765.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 34\/3 (c) -0.0888 (d) -10\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(770\/(-28)))\/(1\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427656 = -193*h + 428621 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1514180 * -3\nAnswer: -4542540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 20, -809*b - 4*l + 10 = -811*b. Solve 0 = 3*j + 5*x - 14, 0 = -b*j - 5*x + 28 - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-290)\/(-30) - (-1)\/3. Suppose y = 2*l, l + 50 = 3*u + 2*u. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**5\/13 + 10*u**4\/13 - 6912*u**3\/13 - 24106*u**2\/13 + 17228*u\/13 + 13776\/13 = 0. What is u?\nAnswer: -41, -4, -1\/2, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12515\/4 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 473.1235ml?\nAnswer: 0.4731235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 354 and 312.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*5 + sqrt(153) + 4*sqrt(153)*2)\/(sqrt(441) - -4*sqrt(441)*2).\nAnswer: 4*sqrt(17)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1178*d + 24 + 31 - 123 + 36 + 31.\nAnswer: -1178*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/45261 and -7\/6593019.\nAnswer: 19779057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -53. Let t = 39.6 + g. Let o = 12.3 + t. Is -2\/7 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 35. Let w(u) = -u**2 - 10*u + 41. Let x be w(z). Solve -5*y + x = -2*f + 50, -2*y - 3*f + 2 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9477 + 0.03.\nAnswer: 9477.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-13363.\nAnswer: -53452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7))**(4\/31)\/(z\/z**(-2\/3))**(-2\/5) assuming z is positive.\nAnswer: z**(458\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335 (base 8) in base 10?\nAnswer: -733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6745373 is divided by 176.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294813 is divided by 264.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 312947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/15875 + -219071\/63500. Calculate the common denominator of -71\/30 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/136 and -1\/374.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.13044 and -59?\nAnswer: 66.69596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5381005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 + (7\/14 - -13) + (-10)\/4. Sort -16, 1, 17, i in decreasing order.\nAnswer: 17, i, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 12?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2173122 and 336?\nAnswer: 17384976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 83. What is the remainder when 96 is divided by ((-3)\/((-36)\/3))\/(w\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (74 - 47) - -3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, 620, 710, 886, 1178, 1616, 2230, 3050?\nAnswer: 4106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.047+-0.1365\nAnswer: -0.0895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -3*d - 26 - 15*d**2 - 2*d**6 + 5*d**2 + 3*d. Find the second derivative of u(j) wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*m**2 + 9*m**3 + 85*m**2.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**2 - 608*j + 23104 = 0.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3*1\/(-108)*-82 and (13\/10)\/(2\/5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2840? (a) 1\/5 (b) 2\/9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*w + 139. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 7*g. Suppose 33 = -5*z + m, 0*m = -4*z - 4*m - 36. Let j be b(z). Suppose j*l - 100 = -2*l. Calculate the remainder when l is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*v - 31*v + 5*c + 5, 3*v + 1 = -c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (490\/343)\/((-36)\/(-21)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 2*w**2 + 7*w**2 + 2 - 2.\nAnswer: 5*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1040787\nAnswer: -1\/346929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14329203*-0.1\nAnswer: 1432920.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 16465588?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/30*-117*(-27)\/405?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1194 and -0.5?\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c**2 - c + 13. Let k(d) = -6*d**2 + d - 13. Let t(h) = 5*k(h) + 6*p(h). What is the units digit of t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 941\nAnswer: -941.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12433 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/2171923 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6934286*k**3 - 11375764*k wrt k?\nAnswer: -41605716*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.724644ml?\nAnswer: 0.002724644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10523 = 19*u + 13388 + 1055. Which is the smallest value? (a) -1\/3 (b) -2 (c) u (d) 0.1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-98)*(-12)\/27?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, -3\/6301, -2, -6.\nAnswer: -6, -4, -2, -3\/6301, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 24*-4*(-1)\/(-14)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-6\/11)*t**(-1))\/(t**(-1\/3)*t)**6 assuming t is positive.\nAnswer: t**(-38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 195 - 12 + 2967*l + 3672*l**2 - 183 wrt l?\nAnswer: 7344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 8. Solve 0 = -z*l + 4*o + 6, -o + 5*o = -5*l - 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -77\/4*d**4 + 65 - 1\/2*d**2 + 97*d + 0*d**3. Find the second derivative of c(r) wrt r.\nAnswer: -462*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + r**2 - r**2 + (-5*r + 11*r - 42*r)*(-1 + 1 + 2*r).\nAnswer: -74*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 23 = -a, -12*a + 15*a - 33 = 5*m. What is the hundreds digit of (-9)\/81*m*1*383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252)*-2 + sqrt(252)))**2 + -3)*-6 + (-1 + 1*sqrt(252) + -4)**2.\nAnswer: -5753 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 14*b**2 + 14291*b - 2080352. Calculate l(-1150).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 131 + -18063717388\nAnswer: -18063717257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1332\/(-30))\/(3\/10). Is -150 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 9*q**2 - 12*q - 12. Calculate the remainder when 59 is divided by d(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 94. Suppose 5*k - 1 = 9. Put 2\/5, k, -0.3, p in descending order.\nAnswer: p, k, 2\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3 - 306*d**2 + 2592*d = 0.\nAnswer: 0, 9, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.664 years in months?\nAnswer: 1675.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/2, 2, 0.5, 121920, -44, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-27) + (-170)\/(-45)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.655773 rounded to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (6 - 0) - -138. Let n = -141 + p. Solve n = -0*o - o + 4*c + 20, 2*o + 3*c = -15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4181 - -a?\nAnswer: 418b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55788, 111556, 167318, 223074?\nAnswer: 278824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 69, 103, 137?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 + -0.9. Let x = -1.2741 + v. What is x rounded to three decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13 + 3*k + 4*k**2 - 2*k + 22 + 3*k**3. Let n(c) = c**3 - c**2 - c + 1. Let g(l) = 2*n(l) - x(l). Is g(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 3, w: 2, x: 5}. What is prob of sequence wt?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-8 + 11 + 3)) + -1 + -18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-140)\/6 + (-12)\/(-9). What is the units digit of (-6)\/4*q\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 221420\/(-120)*62 - (-2)\/6. Round t to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {m: 1, l: 2, x: 1, z: 2, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o**2 - 5*o - 1. Let t(m) = -m**2 + m. Give -5*t(j) - u(j).\nAnswer: -3*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -3*h - 140*x + 137*x, 156 = -3*h + 6*x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 3462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10674 divided by 2\nAnswer: -5337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -43570990.3?\nAnswer: 43570990.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -21*z**2 - 9*z - 11. Let y(m) = 11*m**2 + 4*m + 6. Let c(x) = -3*t(x) - 5*y(x). Is c(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3999 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 9*x - 36. Let q(h) = 12. Let c(r) = -38. Let m(n) = 5*c(n) + 16*q(n). Let w(p) = k(p) + 3*m(p). Differentiate w(i) wrt i.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/15 - 2*s**4\/3 - 8*s**3\/3 - s**2. What is i in w(i) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22635*v**2 - 145*v**3 - 22638*v**2 - 28*v**3 - 16*v.\nAnswer: -173*v**3 - 3*v**2 - 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571893.\nAnswer: 3, 7, 113, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.62 and -1.554.\nAnswer: -3.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*1*-2)\/(sqrt(7) - sqrt(84)\/sqrt(48)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**5 - 8223*k**3 - 154496*k**2 wrt k.\nAnswer: 60*k**2 - 49338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57154806 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 319746.\nAnswer: 639492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1727156 and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 338*m - 351*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-96)\/(-18)*225\/6. Round p to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-20) - 5576\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 times 0.1?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2. Let g(p) = -1 + 1 + 30*p - 25*p. Give m(g(r)).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46361 and 6652177.\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7 - (-29)\/(82215\/(-600)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/6 (c) -2.9 (d) 19739 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let j(a) = a + 8. Let u(z) = -64*z + 49. Let s(g) = 6*j(g) - u(g). Determine s(b(q)).\nAnswer: -70*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/110 and -17\/35.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**6\/15 + 2*v**4\/3 - 8*v. What is the third derivative of r(j) wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 3\/7, -3\/2, -0.231 in decreasing order.\nAnswer: 3\/7, 1\/4, -0.231, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -420 by -140.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y - 3. Let n(j) = 4 + 2 + 18*j - 18*j + 9*j. Give 4*n(r) + 7*x(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(14\/3 + -4). Let h be (x + (-14)\/(-4))*2. Let y be 0\/h*9\/18. Solve y*k + 5*k - 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, 0.1, 1.5 in descending order.\nAnswer: 5, 1.5, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -993 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121.11791 + -0.05791. Let w = -121 + k. Which is the closest to -2? (a) 0.4 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5369983.8 rounded to the nearest ten thousand?\nAnswer: 5370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 18, 56, 15 in increasing order.\nAnswer: -4, 15, 18, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:54 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a - 5?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000095031 to seven dps.\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 25.4, -2, -5\/4, -2\/7 in increasing order.\nAnswer: -2, -5\/4, -2\/7, -0.02, 25.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128 - 1796*t - 119 + 382 - 134 to q*t + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:04 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 69. Let n = -13001 + 12978. What is g(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -9.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -301*f**3 + 697?\nAnswer: -903*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 31*n**2 + 1952*n - 48. Let s be z(-63). Which is the nearest to -1? (a) 1 (b) 0.07 (c) -0.3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.1 - 10. What is the closest to o in 2, -4, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - (3 - 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00976246 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((25\/(-1))\/(-600))\/((-3)\/((-9)\/2))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 260 + -270. Let j be ((-368)\/23)\/(4\/r). What is the highest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/234 - 23*(-4)\/120.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -269\/2 - -138. Let r be (-46)\/(-10) - (-63)\/(-105). Which is greater: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5563*s**2 + 11549*s**2 - 5798*s**2.\nAnswer: 188*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 69*j - 2\/3*j**3 + 0*j**2 + 23 - 5\/2*j**4. Differentiate x(q) with respect to q.\nAnswer: -30*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254821477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68\/71 in -3\/4, -19, -106?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or 4.30785495?\nAnswer: 4.30785495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/13 - -47\/104. What is the third biggest value in 7, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) + (-93)\/5. Suppose 0 = -15*z + 14*z + 40. Let q = z + b. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -22 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33217319 and 1242399?\nAnswer: 9631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*i - 12 = -3*i, -2*w + 6 = 4*i. Let p(j) = -17*j + 3. Let u(t) = -50*t + 8. Let x(r) = -10*p(r) + 3*u(r). What are the prime factors of x(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**3 + 2*k - 1. Let u be j(-2). Let x = 74 + u. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 10) in base 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 334*y - 658. Determine p(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -107, -104, -101, -98?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46256265.000027 - 46256305. Let k = -40 - l. What is k rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from xxffffxffffffffffxff.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220 by -110.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*h = 2030, 2*h = 17 - 25. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2790 = -6*g + 2352. Are g and 858 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 4 - (-4)\/(-18). Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2)\/(-3)*6\/(-30)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2524 + -315224?\nAnswer: -312400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2. Let d be u(-3). Let j = 89 - d. Suppose -j + 182 = 5*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139834831 - -0.2.\nAnswer: -139834830.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5 + 3. Let i = s + 5. Calculate the lowest common multiple of 4 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 2*d + 2. Let c be u(-2). Let m = c - 0. Suppose 2 = -0*j + m*j. Solve -5*o - 6 = i, 5*i + j - 13 = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -158\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 3*r + 3. Let l = 14 + -11. Let i be h(l). Suppose -1\/4*u**i + 0*u**2 + 0 - 1\/4*u**4 + 0*u = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -239 + 338. Let p(u) be the first derivative of -u**4\/4 + 2*u**3 - 3*u**2 + u + 2. Let f be p(4). What is the greatest common factor of f and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (1729\/4)\/(10\/(-12)*(-345)\/17250)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 13*q**3 - 103*q**2 + 187*q - 731. Determine y(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4422)\/(-603)*(-3)\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 211133182 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, o: 2, z: 2, e: 1, h: 1, d: 2}. What is prob of picking 1 o, 1 s, and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2271?\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130 - 913\/7. Let n = -56825\/6 + 9471. Which is the fourth smallest value? (a) g (b) -29 (c) -0.5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -31. Let g = w + 22. Find t such that -11 + g - 2*t**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/286275 and -56\/286275.\nAnswer: 286275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 - 7*l**4 + 70*l**3 - 104*l**2.\nAnswer: -l**2*(l - 4)*(l - 2)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52509580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200578?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-6 + -1 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.7 (c) 4.58 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1293183, 1293230, 1293301, 1293390, 1293491, 1293598?\nAnswer: 1293705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcccfff. Give prob of picking 1 c and 3 f.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 0.006 (c) 0.1 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80819507 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(119) + sqrt(119) + 2*sqrt(119)) + 1*sqrt(119)*3)\/((sqrt(700) + -1*sqrt(700) + sqrt(700) - sqrt(28))\/sqrt(4)).\nAnswer: 19*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7603\/3576 + 1\/894. Let o be (-70)\/22 - 20\/(-110). Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + w = 13, 2*c + 7*w = 3*w + 24. Let i be 0 + (1 - (-28)\/c). What is the units digit of (-5)\/i - 16\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:44 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((175\/5)\/7)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 3747.\nAnswer: 3746.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -874*p - 5. Let t(q) = -q - 1. Give -o(w) + 5*t(w).\nAnswer: 869*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 33. Suppose 170 + 418 = 42*q. Put k, q, -5, 0 in ascending order.\nAnswer: -5, k, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125 - 4444?\nAnswer: -4315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*b = -3*d + 580, 3*d + 2*b - 332 = 0. Suppose -3*v = -2*u - 85, 4*v - 3*u = -0*v + d. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a4 (base 11) in base 16?\nAnswer: 2cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21546, -43072, -64594, -86112?\n\"Answer: 2*c**2 - 21532*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -0.2075.\nAnswer: -1.2075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 2*n - 2, 0 = 3*q - 164*n + 163*n + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3463185442?\nAnswer: 2, 19, 157, 580487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -40.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*v - 6*v + 5*v)*(-3 + 3 + 2*v) + (2*v**2 - v + v)*(-244 - 283 + 432) + (0 + v + 0)*(1 - 1 + 2*v) to the form x + n*v**2 + w*v and give n.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10031371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*w + 88*w + 8*w + 26*w + 17*w.\nAnswer: 184*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -86*q - q + 59, 0 = -5*r - q + 117 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65956615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -171*w + 117*w + 205*w + 158*w + 194*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3276 - 3473.4. Which is smaller: c or 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2. Let s(q) = -q + 7. Let j be s(-5). Let f = j - 8. Let z(m) = -2*m - 2*m + f*m - 8*m**2. Determine x(z(i)).\nAnswer: -64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.9867 - -0.0967. Let p = k + -0.11. Let b = p + 19.00000018. What is b rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 22 = 4*i - 106, -4 = -2*i. Let x be (-5)\/(-30)*j - 4\/3. Suppose -l + u + 7 = 0, -2*l - x*u = 12 + 2. Solve 3*y = -0*y - l*b, -y + 12 = 5*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 2. Is 4*((-142)\/(-8) - j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*d + 86 = 0, -3*d - 42 = 5*k - 179. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (5 + -5))*(0 + 16). Let i be ((-6)\/4)\/((-1)\/6). Suppose 0 = 5*x + i + a. What is the closest to -1 in -0.3, x, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7053 is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**4\/32 - 155*x**3\/8 - 927*x**2\/16 + 2523*x - 1. Factor c(m).\nAnswer: -3*(m + 1)*(m + 309)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4e5 + -33?\nAnswer: 4b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - s. Let q(a) = 21*a**2 - 7*a + 2. Determine 6*o(p) - q(p).\nAnswer: -15*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 1038 - 5*z**2 + 7*z**4 - z - 1038 to i*z**3 + l*z + p*z**2 + m*z**4 + k and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6544 and 2935393.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j + 95 = 0. Let l be (-2)\/(1 + 24\/(-21)). Suppose -60*m = -58*m + 2*o - l, -3*m + 2*o + 11 = 0. Solve 3*w + m*f + 2 + 9 = 0, -5*w = -f - j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 12:12 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -595\nAnswer: -9\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.395622 + -8.4. What is t rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 1. Suppose -12*h + 46 = 10. Let n(y) = 2*y + 1. Give h*z(v) - 2*n(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 13*m - 11. Let p(q) = 8*q - 5. Let j(w) = 6*n(w) - 13*p(w). Let g(d) = 9*d. What is g(j(f))?\nAnswer: -234*f - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*c + 7*c**5 - 4*c**5 + 15*c + 10*c**5 wrt c?\nAnswer: 260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216*b**5*j + 3*b**3*j**3 - 2*b*j**3 + 564*j**3 - j**2 wrt b?\nAnswer: -4320*b**3*j + 18*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 3. What is c(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4}. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179 - -184. Let r be ((l + -4)\/3)\/((-2)\/(-30)). Solve 0 = r*c + 5*w - 20, 2*c = 4*c - 4*w + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38573 at least as big as -5438602\/141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*j - 206*j + 139*j.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60075290*w - 111470019 wrt w?\nAnswer: -60075290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + y. Let n be c(1). Suppose n*f - 31 = 65. Suppose 0 = -4*t + 88 - f. Calculate the greatest common factor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - k + 4*k + 6*k - 2*k - 2*k + (-1 + k + 1)*(1 + 5 - 5) + 6*k - 5*k + 13*k + (-5*k + 0*k + 4*k)*(0 + 2 - 4) - 1 + 1 + k - 4*k + k + k.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 3*p**2 - 250*p + 1696. Give y(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1081372 - -2190305. Let c = -1108981.00005 + m. Let v = -48 - c. What is v rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88208 and 121286.\nAnswer: 970288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 345*k - 4503. Determine h(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 44*q - 1. Let t(m) = -2*m**3 + 177*m**2 - 98*m + 902. What is the remainder when f(3) is divided by t(88)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317423297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61*b**4 + 1309*b wrt b?\nAnswer: -732*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**3\/3 - 5*d**2\/2 + 35*d + 335. What is w(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -1. Let i be (-2 - n)*1\/(-1). Factor 0*c - 2*c**2 - 4 + i + 2*c.\nAnswer: -2*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 + 78*q + 2650.\nAnswer: (q + 50)*(q + 106)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 23546*b**2 - 68554112*b - 4412863224.\nAnswer: -2*(b - 5918)**2*(b + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.4 - -2. Let n be 5*(1 - 3)*9\/108. Let l be 84\/135 - 2\/9. What is the nearest to l in -4, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -19*b**2 - 567*b - 4. Let k(c) = 51*c**2 + 1703*c + 11. Give -8*h(o) - 3*k(o).\nAnswer: -o**2 - 573*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1130 - 595. What are the prime factors of n?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 - -5.1529672282\nAnswer: 8.0529672282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 1. Let q be 48\/(-9) + 3\/9. Let k(o) = o**2 + 3*o - 4. Let i be k(q). Let n be (-3)\/i - 18\/4. Determine d(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66063, 132129, 198195, 264261, 330327, 396393?\nAnswer: 462459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:03 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/2 of a decade?\nAnswer: 2460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**4 - 158106*j**3 - 2083915983*j**2 - 20827303380*j - 52058378700 = 0?\nAnswer: -26346, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) 0.4 (c) 0.6 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161*s**4 + 53*s**3 + 7067*s - 2.\nAnswer: -1932*s**2 + 318*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -23*b - 59. Let y(v) = 16*v - 4. Let a be y(0). What is the remainder when 97 is divided by d(a)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -199*j**3 + 28*j**2 - 10*j - 8. Let k(b) = 200*b**3 - 28*b**2 + 8*b + 7. Let h(t) = -5*k(t) - 4*p(t). Find the third derivative of h(n) wrt n.\nAnswer: -1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 + 63.119. Let r = 0.519 - j. Which is the second biggest value? (a) r (b) 0.5 (c) -2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**3 + s**2 + s + 1. Let z be g(-1). Let c(j) = 3*j**2 + j + 1. What is the units digit of c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**29*t*t*t)\/t*t*t**(1\/9))\/((t\/t**(7\/5))\/t*t**(-29)\/t) assuming t is positive.\nAnswer: t**(2903\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9339507.\nAnswer: 3, 19, 54617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Is (22 - l)\/((-2)\/(-14)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 60.31. Let s = x - 0.19. Round s to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*1\/1 - 0. Let m(l) = -l**2 + 4*l + 143. Let v be m(-10). Factor w*j + 9\/4*j**v + 3\/2*j**2 + 3\/4*j**4 + 0.\nAnswer: 3*j**2*(j + 1)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146 - 66535*n + 278 + 66552*n.\nAnswer: 17*n + 424","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82.155 - -82. Let k = u + -1.845. What is the second biggest value in k, -1\/2, 2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5 = f. Let v = 17 - 13. Put -0.2, v, f in descending order.\nAnswer: v, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16716 less than -16716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*s - 2. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k + 23. Let f(d) = -d - 11. Let a(h) = 2*f(h) + l(h). Let z(s) = -s. Let p be 0 + 0 - (6 + -1). Calculate p*z(o) - a(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-2))\/(6\/(-18)). Let k = -7 + 8. Let t = 0.6 - k. Sort s, 7, t.\nAnswer: t, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584847 is divided by 581390.\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, -2\/521, 4, -5 in decreasing order.\nAnswer: 4, -2\/521, -5, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1293875 divided by 11.\nAnswer: 117625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 113. Suppose -q = -0*q + 8. Let o be (42\/8)\/((-2)\/q). What is the greatest common divisor of o and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -0.001, -15\/11, -4\/7?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)*q*q)**30 assuming q is positive.\nAnswer: q**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 - 8*s - 2*s - 2*s + 3*s - s + s - s + (0*s + 4*s - 3*s)*(-1 + 1 + 1) - 2*s + 3*s + s)*(-2*s - 7 + 1 + 4*s).\nAnswer: -14*s**2 + 42*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*b*o*r + 26*b*o + 2*b + o*r + o wrt r.\nAnswer: 18*b*o + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-14))\/((68\/(-102))\/(56\/36))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + m**2 - 2*m + 3. What is u(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 14\/137?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -96731638.196\nAnswer: 96731636.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -26701+208.1\nAnswer: -26492.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-25))\/(1332\/(-555)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1581408 is divided by 394939.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51118971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -1302, 0, -7 in increasing order.\nAnswer: -1302, -18, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 391\/60184 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228 greater than or equal to 32\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-4)*l)*l))\/(l*l\/((l**0\/l)\/l)*l))**33\/(l**2\/(l\/l**4))**(-11) assuming l is positive.\nAnswer: l**(-242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5974344 and 15300.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/257 + 779\/2056. Let u = 8 + -8. Let x = -3 - -5. Which is the closest to 1\/3? (a) x (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 417b - -c?\nAnswer: 4188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c**2 - 28*c**2 - 2*c + 2*c in the form t*c**2 + m + f*c and give t.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 39113*q. Let v(d) = 29*d**2. Calculate v(r(s)).\nAnswer: 44364976301*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1354 (base 9) in base 4?\nAnswer: -33331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 79 = -3*w. Let f be w\/3 + (-2)\/6. Suppose 0 = 4*b + j - 62 + 72, 4*j = -3*b + 12. Let d(z) = 6*z - 3. Let i(g) = -17*g + 9. Give b*i(y) + f*d(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1955*5.\nAnswer: 0.9775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-187)\/(-385))\/((-512)\/(-17920))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18782651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 67 + 24*d - 6*d + 56 - 39. What is the hundreds digit of q(28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -1\/24*d**6 + 1\/4*d**5 + 13*d**2 + 0*d**3 + 0*d + 0 + 0*d**4. Factor b(h).\nAnswer: -5*h**2*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001218201 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**2. Let v = 4 + -2. Let d(m) = 30 - 30 + 2*m**v. What is z(d(c))?\nAnswer: 28*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 68\/(-238) + (-1)\/(21\/(-195)). Suppose -3 = u*s + 6. What is the third smallest value in 6, 2, s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 3. Let u be l(-3). Suppose u = -8*m + 119 + 1889. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 8*l**4 + 84*l**3 + 116*l**2 - 336*l + 128 = 0.\nAnswer: -8, -4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*v**3 - 18*v**2 + 12*v - 8\/3.\nAnswer: (3*v - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 687*w - 8. Let y(q) = 7*q - 1. Give m(h) - 6*y(h).\nAnswer: 645*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24364 is divided by 1829?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(1\/2)\/g))**(-16\/3)\/(g**(-2\/7)\/g)**(-1\/17))\/((g*g*g**(3\/5)*g)\/g*((g**4\/g)\/g)\/g*g**3*g**(1\/7)) assuming g is positive.\nAnswer: g**(-8817\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k - 1724. Let i(j) = -3*j - 1723. Determine -3*i(h) + 2*z(h).\nAnswer: -h + 1721","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 24 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34130 and 27304?\nAnswer: 136520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, m: 7, u: 1}. What is prob of picking 1 m and 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, a: 1, q: 1, o: 1}. What is prob of picking 1 o, 1 q, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 5. Let i(w) = -1. Let o(t) = b(t) - 5*i(t). Let u(v) = 5*v**2 - 6. Let n(m) = -m**2 + 1. Let a(l) = -6*n(l) - u(l). What is o(a(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + a - 2, 123 = 5*n + 3*a + 141 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 4. Let x be i(-4). Suppose x*y + 6 = 3*y. Find z such that 2*z**5 - 3*z**4 - 2*z**y + 3*z**4 + 2*z**4 - 2*z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32778 and 423686.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 + -17)*6\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*l - 62*l - 74*l)*((-1524 + 44*l + 1524)*(3*l**2 + 2*l**2 - 3*l**2) - 2*l**3 + 0*l**2 + 0*l**2).\nAnswer: -20898*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251588.8 hours to milliseconds.\nAnswer: 905719680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o - o)*(0 + 27 + 6) + (-12*o + 3*o + 2*o)*(4 - 1 + 2).\nAnswer: 31*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21404 divided by -1.\nAnswer: -21404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6396780 divided by 4602.\nAnswer: -1390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5106826 is divided by 1984.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/14 and 17\/216?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4025.99 and -2773851404.\nAnswer: -2773847378.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 2*c - 110. Find the common denominator of -3 - (-13)\/((-455)\/c) and 28\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42148 - 42144. What is the second biggest value in -1159, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 118*g - 105*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d - 3. Let y be r(7). Calculate the common denominator of -113\/10 and 874\/234 - (-6)\/y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18942 is divided by 2513?\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 13) in base 12?\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*k - 59. Calculate the lowest common multiple of k and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18589 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -72 (b) -0.2 (c) -4\/5 (d) 82 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4832.08 + 4660.0165. Let c = f - -172. Let y = c + 0.7765. Round y to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009444495 rounded to 4 dps?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123253, 123038, 122459, 121336, 119489?\nAnswer: 116738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 8:42 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -11*w + 93. Give c(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13931333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1430 divided by 1430.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74210177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-7 + 3 - 4)*(3 - 1 + 0)*(c + 3*c + c).\nAnswer: -80*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 102 + 618 = 0. Calculate the smallest common multiple of q and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272881.\nAnswer: 7, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -26. Suppose -l = 3*l - i. Is 8 a factor of 3\/l - 35\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**3\/6 - r. Let m = 1 + -2. Let u = -13502 - -13498. Let s(h) = -h. Give m*p(q) + u*s(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7738, -7725, -7712, -7699, -7686?\nAnswer: -7673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34007250.8 + -31263665. Let m = -2743775.79913 + z. Let p = m - -190. Round p to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 282 + -116. Let z be (-96)\/18*(-2 + -1). List the prime factors of d\/8 - 12\/z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c7c981 (base 13) to base 15.\nAnswer: 13d3036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d - 17. Let m(n) = 4*n - 18. Calculate -3*m(j) + 2*w(j).\nAnswer: -2*j + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3874000 to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -1)\/((100\/375)\/((-6)\/(-9))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 - 3*i**2 - 18*i + 81. What is u(5)?\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/60 + 5*p**4\/24 - 2*p**3\/3 - p**2. Let k be i(-5). Let d be 2\/k + 70\/20. Solve 1 + d = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2395245525?\nAnswer: 3, 5, 31936607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:29 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*s = -1890*s + 29790 + 12549 + 1861 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from {l: 1, u: 1, b: 2, t: 1, o: 1, x: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40375 and 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10227413?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5197415 to the power of 1\/2, to the nearest integer?\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.889333ml in litres?\nAnswer: 0.005889333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 + 65. Let o be (-6)\/8*3*c\/9. Are 5 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-10 - -6)\/(-496)*34\/(-3). Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47811745 divided by -5.\nAnswer: 9562349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 0.029171?\nAnswer: 0.970829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0, 4819 in increasing order.\nAnswer: -2\/3, 0, 4819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359*l + 3501 + 57049 = 278104. What is the remainder when l is divided by 575?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, -3, -5, -6, 17 in ascending order.\nAnswer: -6, -5, -3, -1, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**3\/6 - 7*n**2\/2 - n. Let r be d(7). Suppose r*o + 5*o - 287 = -3*t, 0 = -4*o + 4*t + 204. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000452533 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8 = r + 3*w, -4*r - w = -32. What is the smallest common multiple of 14 and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9229814us to nanoseconds.\nAnswer: 922.9814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/12)\/(21\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = v + 3*s, -3*s - 66 = -6179*v + 6182*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202 >= 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g**4 + 11*g**4 - 16*g**4)*(-406 + 902 - 439).\nAnswer: -855*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158 + -150. Suppose -4*z + 22 = -3*j + 362, 4*z = l. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 470 = -512. Let p = 2.2 + 13.8. Let s = -11 + p. Which is the third smallest value? (a) 3\/2 (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 913245 divided by -60883.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 26. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -7. Let x(t) = -10*t + 7. Is 9 a factor of x(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 12*j**2 + 12*j + 6. Let p be w(-11). Let t be (p + 3)\/(2\/(-2)). Let l(s) = s - 1. Calculate l(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -158*t + 7516 - 1512 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 285*w**2 - 1426*w + 1. What is g(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*m + 6*m - 68, 5*m = -2*h + 73. Suppose 12568 + 12535 = m*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 5*q + 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2024.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13))**(5\/11) assuming y is positive.\nAnswer: y**(10\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -25*a + 255. What are the prime factors of -4*3\/a*6660\/(-24)?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 + -104. What is the remainder when f is divided by -4*(-26)\/24*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h*h*h**(-1\/2)))\/h*h*h)**(2\/9)\/(h**(1\/2))**(-37))**10 assuming h is positive.\nAnswer: h**(565\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -398.4 - -0.16?\nAnswer: -398.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*j**4 + 2*j**2 + 2*j - 22*j**4 + 69*j**4 - 5 - 15*j**4 as m*j**2 + l*j + n + q*j**3 + a*j**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 76*j - 8. Calculate t(-1).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 2.067679874114?\nAnswer: 4.067679874114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3508725ml in litres?\nAnswer: 0.0003508725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*z - 3*v, z - 3*v - 3059 = -3052 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -23.8. What is the nearest to 1\/2 in -6, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 16, s - 5*h - 21 = -h. Suppose 5*j = 5*z - 19450015, 0 = j - s*z + 2864572 + 1025443. Round j to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -413, -346, -235, -80, 119?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2137*c**4*v - 30*v + 34 with respect to c.\nAnswer: 8548*c**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2083\/105 + -29\/35. Calculate the common denominator of (-1)\/(-1*4\/86) and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 5. Let c = 1 - 0.5. Let y = -3 + 2.9. What is the closest to a in y, c, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28a - 5?\nAnswer: -28f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 603.852 - 598.85102. Let d = 5 - f. Round d to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**8\/1680 + j**6\/144 - j**4\/4 + 3*j**2. Let k(s) be the second derivative of v(s). Find the second derivative of k(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 13 = -3*o, 5*o + 261 - 237 = -6*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188*g**2*y**4 - 110*g**2*y**3 + 2*g**2*y**2 - 836*g**2 + 5*g*y**2 wrt y?\nAnswer: -4512*g**2*y - 660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 - 2)*(4 - 1 - 1) + 3 - 6 + 4)*(17*m**5 - 12573*m**4 + 12573*m**4) - 2*m**5 + 5*m**5 - m**5.\nAnswer: -15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11111112011 (base 3) to base 11\nAnswer: 60618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 7*z**2 - 10*z - 4. Let c(i) = -i**2 + 5*i - 2. Let p be c(6). List the prime factors of f(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499203.\nAnswer: 3, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/7 and 0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + ((-3)\/((-18)\/24) - -3). Which is the smallest value? (a) w (b) -3\/2 (c) -4 (d) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 10. Let w = 4 - b. What is the greatest common divisor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 3*b. Let g be v(-4). Let j = g + -3. Suppose 3*x - 84 - j = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 5*n - 4. Let r be (-12)\/(-3)*9\/(-6). Let m be i(r). Let f = -12.1 + 12. What is the nearest to m in -2\/9, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Suppose -5*a - 2*r - 20 = n, 4 = -a - r + 3*r. What is the remainder when (-88)\/a*1\/1 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b - 1. Let c(i) be the first derivative of -i**4\/4 + i**3 + i**2 - 4*i + 1. Let z = -18 + 21. Let a be c(z). Determine r(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 469, -11370, -5, 0 in descending order.\nAnswer: 469, 0, -5, -11370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2902*y + 598 = 55115 + 49955 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(76)*1 - sqrt(76)) + sqrt(76))**2 + 1.\nAnswer: -4*sqrt(19) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 9. Let t be v(6). What is the second derivative of k + 3*k**3 + t*k**3 - 2*k**3 - 5*k**3 wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + -42. Let q = v + 57. What is the highest common factor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25353 and 1134?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Solve -2*k + 3*k = -3*u + 2, -k = -l*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.464 - 0.444. Put 1, w, -0.1 in decreasing order.\nAnswer: 1, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12b352 + 0?\nAnswer: 12b352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -36. Let a(m) = -4*m + 6. Let i(s) = 7 + 5*s - 7*s - 3*s. Let d(l) = w*i(l) + 4*a(l). Give d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t - 96 = 2*q, -2*t = 4*q + 168. Let f(z) = 4*z**2 - z. Calculate the smallest common multiple of f(1) and 1\/(232\/q + 6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45651 or 45652?\nAnswer: 45652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30356?\nAnswer: 2, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l = -110. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7469539.76 and 0.16.\nAnswer: 7469539.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 309050 to the power of 1\/2, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60.7 - -60. Which is the nearest to -1? (a) 2\/9 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 43 = -4*i - 0*m, 0 = 5*i - 2*m - 48. Solve -2*p - 3*p = -i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 1. Let u be f(1). Suppose -4*s + u*s + 208 = 0. Calculate the highest common divisor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 83422383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00917 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 3. Let w be 4*f\/(-8)*1. Let c = -877.2 - -877. What is the third biggest value in w, c, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 851 divided by 851?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 281*o**2 - 82350*o - 4546. Determine r(-460).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-7))\/l*l\/l**(2\/3))**(2\/5))**(4\/9) assuming l is positive.\nAnswer: l**(176\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 519 divided by -1956\nAnswer: -173\/652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160910.6 + 73.\nAnswer: -160837.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**3\/6 + 9*w**2\/2 + w. Let o = -381 + 1. Let f = -388 - o. Calculate x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 717 - 717. What is the smallest value in 5\/2, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 35*z - 4. Give s(-3).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + ((2*sqrt(704) - sqrt(704))*1 - sqrt(704)))\/((4*sqrt(24)\/sqrt(3))\/sqrt(2)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33501 - 17229. Is u a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4\/3 + 20546*f**3\/3 - 143890*f**2\/3 + 102794*f - 61680 = 0.\nAnswer: -10280, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001008804 rounded to six decimal places?\nAnswer: 0.001009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6417 is divided by 1058.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + 15*p**2 + 19*p - 14. What is the remainder when 6140 is divided by z(8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dee when three letters picked without replacement from dweefd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -66636?\nAnswer: 66636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4 - 1\/(-1). Let r = -0.83 - -0.853. Let n = -3.023 + r. Is t equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2150491646 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2029*k**3 - 372*k**2?\nAnswer: 12174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16895)\/62*2\/(-5). Let f = h + -105. Let n be (-2)\/(-6)*(-6)\/(-12). Which is the smallest value? (a) n (b) 0 (c) -1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*q = q, 3*l = 3*q + 24. Suppose -3*k - l + 8 = 0. What is the lowest common multiple of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.835831 * 0.06.\nAnswer: 0.29014986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11450 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:30 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -470, -1051, -1864, -2909, -4186?\nAnswer: -5695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/5 - 217*q**2\/5 + 1982*q - 18944\/5 = 0. What is q?\nAnswer: -256, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 1. Let t(q) = 4*q - 1. Let k(p) = 6*s(p) + t(p). What is the tens digit of k(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*b + 664*b - 940*b - 1 - 3.\nAnswer: -9*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.02869674 plus -8287.94?\nAnswer: -8281.91130326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(4*j + 0*j - 2*j)*(-2 + 8*j**4 + 29*j**3 - 29*j**3).\nAnswer: 32*j**5 - 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 19*f**3 + 14*f**2 - 364*f - 28. What is the hundreds digit of m(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/10 - (-2)\/10. Is -3 - (-24 + 3 + b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1018, 2063, 3108, 4153, 5198, 6243?\n\"Answer: 1045*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, -178317, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/39? (a) -3 (b) -19 (c) -1084\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 n when three letters picked without replacement from {n: 3, y: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 6\/3 - 4. Let h be (p - 9)*(-1)\/2. Let i(m) = 33*m + 4. Let r(d) = 29*d + 4. Let s(j) = 3*i(j) - 4*r(j). Let y(b) = 9*b + 2. Give h*s(z) + 11*y(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.3, -0.05, 29, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 739469672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 71643.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1785*q**3 - 3*q**2 - 10 wrt q?\nAnswer: -10710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + -4 + (-5 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.112538 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-116)\/(-87)*36\/(-168). Suppose -9 = -2*t + 3*t. Let y = 35\/4 + t. Is w smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1369419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -17. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14541242 (base 6) to base 13\nAnswer: -14b73c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5774715 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5164978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24518, -24517, -24516, -24515?\n\"Answer: s - 24519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by 2.\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -183788 + -23?\nAnswer: -183822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-4 - 58)) + (3 + -6 - -8 - -2)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*t = -10, -k + 5*t = 3*t - 12. Let m be 3 - (-3 + 7 + -1). Let d(g) = g - 2. Let c be d(m). Sort 0, c, k in decreasing order.\nAnswer: k, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 15 = -3*q. Let t = q + 1. Solve 2*k = 4*p - 2, 4*k - 7 = -t*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-166 - -36) + (201 - 161).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 18*t**2 - 70*t + 58. Give s(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -14\/5, -0.1, 153, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*y - 15, 5*y + 0*r + 5*r = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 606970?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66775975711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from jzjzzzz.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 2:14 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -392 - -388. Let z be d\/588*-1047 + -7. Is z at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/23865 and 46\/1161?\nAnswer: 214785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2100440104 (base 5) to base 14\nAnswer: -803572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53051572 to the nearest integer?\nAnswer: 7284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/26*(-10)\/(-3). Suppose f = 5*s - 952, -v*s = f - 606 - 352. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 42 - 141 = 0. Suppose -t*z + 0*z = -8767. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**15)**(3\/4) assuming j is positive.\nAnswer: j**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 3:30 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (-1 + 6) - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + -91. Let f = x - -94.7. Let z = -3.6 - 0.4. Which is the nearest to 23? (a) z (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -2674.662.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3576?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + sqrt(304) + ((5 + sqrt(304) + 0)**2 - sqrt(304)))*-4 - (-5 + -3 + (sqrt(304) + 0)**2).\nAnswer: -1612 - 176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.7 + 4. Let s = -0.1 + a. Let u = 0.1997 - s. Round u to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9169 or 9170?\nAnswer: 9170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 18. Let o be f(9). Let d be 2\/((3\/o)\/(-1)). Calculate the highest common factor of 24 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2937806.483 rounded to the nearest ten thousand?\nAnswer: -2940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326530 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 4*s. Suppose 0 = -5*y - l, -s*y - 3*l = -2*l. Suppose y = 8*t - 12*t - 20. What is the closest to -0.1 in t, 0.1, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57001 plus -176798.8078?\nAnswer: -233799.8078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 + 3540352*t**3 - 7080698*t**2 + 3540348*t.\nAnswer: -2*t*(t - 1770174)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, -1, 3.\nAnswer: -1, 1.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6272*b + 78547. Give c(-12).\nAnswer: 3283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**5 - 14*b**4 + 2327*b**3 - 7*b**4 + 17*b**4 - 2289*b**3 - 3882*b**2 - 572*b**2 wrt b?\nAnswer: 240*b**2 - 96*b + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 28. Differentiate 0 - 3*c + i*c + 7*c**2 + 8 with respect to c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/((-6)\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {s: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -37. Put 4, g, -3 in descending order.\nAnswer: g, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (284 - 7)*((1 - -1) + -3). Let a = 411 + o. List the prime factors of a.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3444 or -3067?\nAnswer: -3067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from ewewwe?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*r + 116*r + 109*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29326455 or 29326459?\nAnswer: 29326455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-32)\/18 + (2\/(-44))\/(2088\/(-207988))\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1872) + (sqrt(1872) - (sqrt(1872) + 0)*-1) + sqrt(1872))**2 + sqrt(1872) + sqrt(1872).\nAnswer: 24*sqrt(13) + 29953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 431 - 431.1. Suppose 1 = u - 2*a - 3, a = 0. Let k = -196 - -1762\/9. What is the nearest to b in u, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/10*y**2 + 1\/5*y - 3\/10 = 0. What is y?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -4*g + 131. Suppose 0 = 59*c - g*c + 3. Sort 0, c, -2.\nAnswer: -2, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.2, 191, -1, 3\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = u - 4131, -4*u + 16536 = -5*z + 7*z. Is 73 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 30. Let w be z(18). Let r(o) = 12*o**2 - 13*o - 50. What is the tens digit of r(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 13. Suppose -p*t + 2*t = -9. Suppose 0*g = t*g - h - 26, -h = -1. What is the greatest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1722\/147 - 2\/(-7). Solve -16*z - 4 = -j*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 0.3, 0.2, -1\/3256, -0.3?\nAnswer: -1\/3256","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 13. Let g be z(-6). Let d = g + 6. Which is smaller: 2\/13 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-182)\/42)\/(2\/(-6)). Calculate the greatest common divisor of 26 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 66.51968nm?\nAnswer: 0.000006651968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d + 21*d - 38912 = 35*d. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 2*y + 2*y**2 - 2*y**2 + 3*y**3 - 9 - y**2 - 2*y**3. Let f(h) = -5*h**2 - 1 + 4*h**2 + h + 0*h**2. What is 5*f(o) + 2*t(o)?\nAnswer: o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -26 + 13 - 63 + 0*g - 62 + 4*g. Let r be q(35). Solve -y - 2 = 2, r*y - 12 = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-60) - 1524\/(-45). Suppose 5*l + 3*a = 40, a + 17 = -4*l + 49. What is the third derivative of 12*h**2 - m*h**2 + 16*h**6 + l*h**6 wrt h?\nAnswer: 2880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6805991 = -2*m, -4*i - 59478 = 2*m + 6746534. What is m rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 222174\/24095 - 100\/4819. What is p in -n*p**2 + 0 + 4*p - 2*p**3 = 0?\nAnswer: -5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 18*l**2 - 77*l**2 + 58*l**2 - 2*l**4 - 10*l to u + m*l**4 + w*l**3 + r*l + s*l**2 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2034 and 4493784?\nAnswer: 13481352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134 - 128 - 4223*k + 262 to j*k + q and give j.\nAnswer: -4223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 8. Solve -5*f - 3*w = -0*f - v, -5*f + w + 12 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*d + 33 = -7*d, 5*d + 21 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 78*o + 1958. Let k be n(-25). Let c(r) = -12*r - 12. Determine c(k).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 8480 = -5*j, 3*j + 958 = -2*z + 6043. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 19 = -20*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:23 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67260 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o = 3*t - 15, -t - 3*o = -5. Suppose 10 = -t*u + 5*q, -2*u - 2*q = -3*u. Sort 5, u, -2 in ascending order.\nAnswer: u, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((8 - 7) + -3). Let z(j) = 1391*j**3 - j**2 + 23*j - 22. List the prime factors of z(o).\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((-483)\/92)*(126\/8)\/3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 10:30 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrnn when four letters picked without replacement from {x: 1, r: 9, n: 10}.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (269\/807)\/(-1*(-3)\/270).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97*r - 240?\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 116*c**2 - 226*c - 1133. Determine h(118).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-2))\/((2 + 2)\/(-4)). Let a(f) = f**3 + f**2 + f - 1. Let s be a(t). Sort 0, -7, 5, s.\nAnswer: -7, 0, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 821057.4 years to millennia.\nAnswer: 821.0574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - a391a?\nAnswer: -a391a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61873666, -61873659, -61873652, -61873645, -61873638?\nAnswer: -61873631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 9*y = 0. Let a(n) be the third derivative of y*n + 0*n**3 + 0 - 1\/48*n**4 - 1\/40*n**5 - 2*n**2 + 1\/60*n**6. Find k, given that a(k) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9747?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 8*s**3\/3 + 5*s**2\/2 + s. Let i(n) = n**2 - 42*n - 130. Let b be i(45). Does 12 divide c(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/1018 + -1757\/31558. What is the nearest to 0 in y, -5, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 414 - 1159 + 2541*f + 585*f wrt f.\nAnswer: 3126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11352155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33722 = 805*n - 10041 + 5299 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 - -91. Suppose z*c - 556 = 868. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11223\/152 + -1182\/19. Find the common denominator of v and -75\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-420 + 221 + 1072 + 1931)*(-2*x - 3 + 3).\nAnswer: -5608*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 4 (c) -2\/169 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - -5) + 1 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*c + 7 = -14, -2*h - 3*c + 42 = 0. Suppose -h = -j - 2*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkrktnn. Give prob of sequence tk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 30*u**3 + 460*u**2 - 4350*u + 9625.\nAnswer: -5*(u - 7)*(u - 5)**2*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*s - 3*j, 7 = 5*s - 2*j + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344381, 344400, 344429, 344468, 344517, 344576?\nAnswer: 344645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3861 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - 28)*4\/(-72).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4080341471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2166*c - 2161*c + 73979, 0 = -j - 2*c + 74007. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**2 - 121672*o + 170487680 = 0.\nAnswer: -31760, 1342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*w - 0*l - 4, -3*w + 4 = 2*l. Suppose 3 - 15 = 4*p - w*v, 5*p - 4*v = -11. Let a = 3.8 - 2. What is the third biggest value in a, 2\/3, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.012702 times -7582\nAnswer: -96.306564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 108000 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 217*t + 3493. Give k(-20).\nAnswer: -847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 567 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 3*c**2 + 4*c + 1. Let z be n(4). Let x be (z\/2*-1 - 1)\/(-9). Suppose -x*i**3 - 1\/6*i - 1\/3*i**2 + 0 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 155?\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxe when three letters picked without replacement from lxueeeuegue.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22a51 (base 11) to base 7.\nAnswer: 165552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-1149)\/12 + 8\/(-32). Let g = l - -117. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1, 4, -151, -1\/4, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39688 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -68. Suppose 22782 = i*g + 3292. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68)*-1)\/(-1*sqrt(64) + sqrt(64) - sqrt(4)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -58 (b) 5 (c) 0.2 (d) 0.3 (e) 1\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -201 + -3614?\nAnswer: -3815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 128948.539 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*g = 2*g + 1071, -3*g = 9. Suppose -6*f + 2*f + 320 = 0. Let d be (f\/(-12))\/((-10)\/k). What is d rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-0.9.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6065538?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9\/102*6\/9 + 3055\/(-663)*-18\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.6 + 6. Let m be 32\/(-160)*10\/(-168)*142. Let h = 4\/21 - m. Which is the second smallest value? (a) h (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1949983 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1 - 0) + 1)\/1. Suppose -3*h + 21 - 6 = d. Solve 15 = 5*j, -3*j - 5 + 4 = h*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4897\/185 + 972\/37. Let k be (-1)\/3 - 14\/(-15). Which is the smallest value? (a) v (b) 1\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1675.21 + 1675. Which is the closest to t? (a) -1\/4 (b) -2 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18576.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1200015 - 0.77954.\nAnswer: -1200015.77954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -5*v - 15. Let a = 209 - 204. Suppose -259 = -3*d + 5*c, a*c + v = 5*d - 362. Is 27 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3203 - 3099 = 129*a + 3039 + 205 for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*(-1)\/4)\/((-84)\/(-336)). Let l(m) = -m**2 + 6*m. Let p be l(6). Solve -2*o = 5*w - p*w + 2, -3*o + n*w = -16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (1 - 1)\/1. What is the highest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -177, -194, -229, -288, -377?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 23 = j. Suppose -5 = -j*x + 56*x. What is the third smallest value in 3, 5, x, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -4 + 3\/4*4. Suppose 0 = -p*j - 6*j + 81. What is the third derivative of 990 - 7*c**2 + j*c**5 - 990 wrt c?\nAnswer: 540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1267 - 1268. Suppose 6 = -2*i + 2. Put z, 3, i, 6 in ascending order.\nAnswer: i, z, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 158*k + 924 - 2346 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + q + 2*q)*(-13 - 4 + 23) + (6 - 4 - 3)*(0*q + q + 0*q) - q + 4*q - 4*q to the form y + u*q and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7280 and 16.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58550 and 58550?\nAnswer: 58550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-11\/2)\/v)\/(v*v**(-3\/20)\/v)*(v*v**(-33))\/v*(v\/(v*v*v*v*(v**(-2\/61)\/v)\/v*v))\/v assuming v is positive.\nAnswer: v**(-51627\/1220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 103?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j + 36*j**4 - 3*j + 7*j**2 - 66*j**4 wrt j?\nAnswer: -720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/15*6\/(-4). Suppose v + 15 = d*v. Find the third derivative of t**4 + t**4 - 18*t**2 - v*t**4 + 15*t**2 wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 15. What is the units digit of c(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3303*f**3*r**2 + 4*f**2*r + 8*f*r**2 - 6*f wrt f.\nAnswer: 19818*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 1.8 (c) 0.47 (d) 53284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51.6853 and 1.1?\nAnswer: -56.85383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 23463?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.2164\nAnswer: 1.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Let p = -4.47 + 7.36. Let q = z - p. What is q rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 114368.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 95.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -36*a - 29. Let i be k(-7). Suppose -i*v - 8 = -227*v. Calculate the greatest common factor of v and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 1:43 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 + 3074*a - 50 - 845*a to the form p + z*a and give z.\nAnswer: 2229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531*v - 944*v - 503*v - 2067*v.\nAnswer: -4045*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 - 3*w**3 + 5*w**3)*(4 + 5 - 4 + (-3 + 1 + 0)*(1 - 1 - 2) - 1 + 1 + 2) - w**3 + 4*w**2 - 4*w**2.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)*((f*f**(-3)*f*f)\/f)\/f)\/(f**0*f)**(1\/11) assuming f is positive.\nAnswer: f**(-103\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpfj. Give prob of picking 1 f and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 14*d**2 - 32*d - 3. Let n be a(10). Calculate the highest common factor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3)\/((6\/1)\/6) + 33 and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 93536.87 microseconds?\nAnswer: 0.09353687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*r - 40 = 0, 193229*u - r = 193225*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 44*a**2 + a + 2. Let s(o) = -133*o**2 - 4*o - 7. Give -7*n(x) - 2*s(x).\nAnswer: -42*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + (-213)\/9*-3 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/3948*(2\/6)\/(16\/(-72))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15944*c**3 + 16149*c**3 - 32090*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*r + 53 = -0*r, 5*y + 31 = 7*r + 123 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m - 2*m - 15 + 15.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxi when four letters picked without replacement from {j: 3, x: 2, i: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/2 of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 322 and 159413?\nAnswer: 2231782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*i - 20 = 0, -3*f + 5*i + 4 = -8. Is ((-14)\/(-28) - 5\/f)*-8828 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - 3*r + 0*r - 3*r**3)*(2*r - 2*r - 5*r**2).\nAnswer: 15*r**5 + 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -38.9. Let r = 4 - j. Let f = r + -0.1. Round f to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*w + 57 = 293. Let x = 18 + -14. Solve -w*s + t + 6 = -x, 5*s = -5*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 2 + i**3 + 2*i**2 - 2*i - 11*i**4 + 12*i**4 in the form m*i**2 + z*i**4 + c + p*i + y*i**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -582 less than -582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 590380 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*u + 4792, -2*u + 1900 = -0*u + 5*w. Suppose 6 = -2*y + 22. Suppose -y*v = 264 - u. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.173, -90.8, -6.\nAnswer: -90.8, -6, 1.173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(81)\/(sqrt(81)\/sqrt(9))))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + -2*-2*(sqrt(300) + sqrt(300) + -2) + (sqrt(300) + 0 + -5 - (-3 + 1 + sqrt(300)))**2.\nAnswer: -3 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a year in months?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1103 + 1096. Suppose 4*s + 0 = -3*h - 16, 0 = 5*h + s + 38. Which is bigger: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 741, 797, 849, 897, 941, 981?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**6\/150 - 4*f**5\/25 + 17*f**4\/60 + 44*f + 5. Factor q(w).\nAnswer: -w**2*(w - 1)*(w + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011.5504 months in millennia?\nAnswer: 0.1676292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o + 0*o + 4*o + (-4 + 4 + 2*o)*(3 - 4 + 2))*(-96 - 21 + 28)*(-2*o**3 - 2 + 2).\nAnswer: -178*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128072638 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110.2645 * -0.02.\nAnswer: 2.20529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 2*o - 3. Let z(t) = -t**3 + 2*t**2 - 7*t + 10. Let f = 172 + -179. What is f*d(w) - 2*z(w)?\nAnswer: 2*w**3 + 3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2767616 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((260\/13)\/((-23)\/(897\/(-26))))\/(6\/(-9))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 8) in base 15?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3934564 - -574631268510\/146047. Let j = f + -62455010\/146047. Let o = 428 + j. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 926?\nAnswer: 13890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -10 + 14 - 2*y + 0*y - 12. Let c be m(-4). Solve w + w - 8 = c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 8*h + h)*(3 + 2 - 3 + (-4 + 1 + 2)*(-1 - 2 + 1) - 2 + 0 + 0).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648*o - 450 = -654*o. What is the common denominator of o\/40 - 3\/12 and 75\/76?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 15*o - 34. Let i be a(12). Put -2, i, 133 in decreasing order.\nAnswer: 133, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-8)\/(-20))\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 8, q: 6, z: 2, y: 1}. What is prob of sequence qqq?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -77927847, -77927848, -77927849, -77927850, -77927851?\n\"Answer: -t - 77927846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2, -2\/1707, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 213\/14 + -31\/2. Let v = 31.368 + -33.3. Let i = 0.068 - v. What is the closest to i in 1\/5, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287 and 1161776.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*a**2\/5 + 48098*a\/5 - 2416 = 0 for a.\nAnswer: 40\/159, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -448 (b) -122 (c) -2\/77 (d) -0.5 (e) -3 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 298 + -297. Solve 0 = 2*o - 3 + f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 e when four letters picked without replacement from mmmaaemj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 94 = -4*r - 3*c, 0 = 5*r + c - 107. Let t be ((-2)\/3)\/((-2)\/(-3)). What is the smallest common multiple of (20 - 0)\/(t + 2) and r?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 1091*d**2 + 8 + 1087*d**2.\nAnswer: -4*d**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -38. Let p(v) = -v**3 - 7*v**2 + 54*v + 32. Let f be p(5). Suppose f*z + z = b. Solve 0 = -3*h - 6, -2*k + 2*h - z = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-43))**(-1\/32) assuming x is positive.\nAnswer: x**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*k + 7931 - 7751 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -186 - -282. Let q = 96.2 - p. Let w = 32 - 255\/8. Which is the closest to 0.1? (a) q (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393470931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110200112222 - -11110?\nAnswer: -110200101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxajjjbnbjaxxanbxna. What is prob of picking 1 x, 2 a, and 1 n?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1044 and 44?\nAnswer: 44.1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-27)\/b)**(-24)\/((b\/(b*b\/b**(7\/4)))\/b)**(-4\/11) assuming b is positive.\nAnswer: b**(7391\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((819\/14)\/39)\/(((-3)\/(-33))\/((-1)\/(-3)))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*t - 3*x + 1, -3*t + x + 12 = 0. Let w be 0 + 5 + t\/8*-2. Calculate the highest common factor of w and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/74110 and 37\/30.\nAnswer: 222330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**5 + 1926*l**4 + 332100*l**3 + 22376250*l**2 + 527765625*l.\nAnswer: 3*l*(l + 75)**3*(l + 417)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/3 or 1?\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14487 is divided by 6872?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71137879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 245*l - 4*l**2 + 6*l**2 - l**2 + 540*l + 49*l to the form d*l**2 + n + y*l and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhjd when four letters picked without replacement from {j: 2, l: 2, u: 3, d: 4, h: 6}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3523, -2440, -1357?\n\"Answer: 1083*y - 4606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - a + 1150 = 3*a, 221 = q - a. Suppose -2*y + o + 202 = 5*o, q = 2*y - 2*o. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.463 + 7.537. Which is the nearest to -3? (a) y (b) -2\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {d: 1, g: 1, b: 13, o: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, 90, 1, 2, 3 in ascending order.\nAnswer: 1, 2, 3, 90, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1989 - 731 - 29*s + 30*s - 1989 + 4709.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1381, -5557, -12521, -22273?\n\"Answer: -1394*a**2 + 6*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 9*q - 2. Sort q, 4, 35.\nAnswer: q, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 14*s**2 + 11*s + 30. Determine n(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -15*h**2 - 5*h - 2. Let o(b) = 16*b**2 + 6*b + 3. Determine 5*o(n) + 6*s(n).\nAnswer: -10*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 671813 >= -0.82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.218*-0.5\nAnswer: -0.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18922*q**2*r**2 - 2426071*q**2*r - 6*q*r**2 - 3*r**2 wrt r?\nAnswer: -37844*q**2 - 12*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24834*m - 24827*m + 49660*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -80*c - 2. Let g be l(-1). What is the common denominator of 99\/4 and (-14)\/1*g\/(-96)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -3*j + 20*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1638149655?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/15 - (-2)\/(-10). Suppose -2*x + 24 - 10 = f. Solve 3*a = -2*i + x*i, -2*a + 3*i - 1 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**9\/37800 + r**8\/16800 - r**7\/6300 - r**6\/1800 - 25*r**4\/12 + 16*r. Let i(b) be the third derivative of a(b). Factor i(m).\nAnswer: 2*m*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -31139 + 31121. Which is the closest to -1\/3? (a) -4.6 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -34 - 24 + 26 + 537496*q. Let v be x(-8). What is v rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -31*f + 11. Let n(d) = -15*d + 5. Determine -2*m(j) + 5*n(j).\nAnswer: -13*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 + 0.2. Let i = -68 + 68. What is the closest to y in i, -2\/9, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 8. What is the units digit of -282*(n\/(-4) - (-1)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*h**3*o*r + 6*h**3*r**2 - 3*h**3 + 161*h*o*r**3 + 981*h*r**3 with respect to o.\nAnswer: 39*h**3*r + 161*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 791575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - 138. Let i = -14 - d. Let s(j) = -4*j**3 + j**2 + j - 1. Let p be s(-2). Is p smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 + 98. Solve 5*x - 3*x = -3*a - d, 0 = 3*x - 3*a + 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/21 and -11\/5145.\nAnswer: 5145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16492728.\nAnswer: 2, 3, 7, 127, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 27 = -6*b. Let x = b - 17. What is the remainder when (-3)\/((-6)\/74*1) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212 + 210002020011?\nAnswer: 210002010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 14*d**2 + 13*d + 14. Let x(h) = -5*h**2 - 4*h - 5. What is -6*q(r) - 17*x(r)?\nAnswer: r**2 - 10*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 * -2238.3.\nAnswer: 4028.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 44.8255 nanoseconds?\nAnswer: 0.0448255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 138*t + 8 + 3 - 36*t as u + i*t and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 50*h + 110. List the prime factors of q(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 + 56*g + 85. What is y(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9430)\/(-350) - 6 - (-8 + 29)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10, j: 9}. What is prob of sequence ejj?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 72 - 1\/3*p**3 + 11\/2*p**2 + 109\/12*p**4 + p. What is the derivative of s(m) wrt m?\nAnswer: 218*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**5\/20 - 7*d**4\/12 + d**3\/6 - 3*d**2\/2 - 20*d. Suppose -5*p = -3*a - 20, 0 = -5*p - 11*a + 8*a + 50. What is m(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 11*d - 13. Let y(s) = 4*s**2 - 7*s**2 - 6 + 3*s**2 + 5*s + s**2. Let b = -17 - -26. Determine b*y(g) - 4*h(g).\nAnswer: g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7089455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Sort v, 6, -5, -6 in descending order.\nAnswer: 6, v, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 734\/9. Calculate the common denominator of c and -56\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjppyjppyj. What is prob of sequence ypy?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -175.15895 to 0 dps.\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-1)*1\/(-8)*-4. Suppose 3*g = -5*d - 17, g + 2*d + 5 + j = 0. What is the least common multiple of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 258 and 1005?\nAnswer: 86430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-680)\/75 + ((-576)\/(-80))\/18 + 11?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 1, p: 1, k: 1}. What is prob of picking 1 b and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 12 + -23 + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.056.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11020000 (base 3) in base 13?\nAnswer: 152a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4643 + -250601\/54. Find the common denominator of f and 31\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/(-90)*15*-1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -4. Suppose 0*a + h = 3*a. Suppose 36 = a*l - 12. What is the remainder when 46 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 571 = 5*f. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.230283 - -0.19742. Let x = 23.963637 - i. Let d = x - 24. Round d to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h**2 - 5*h + 2. Let a be n(3). Suppose a*q = 10 + 10. Let o = -61 - -81. Solve 4*d + 36 = -0*d - 5*y, q*d + y + o = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 7. Suppose -6*l + l + 75 = 0. Let g = -7 + l. Solve g*o - y*o = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 9:01 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by -11\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2 - 1 + k**3 - 21207*k + 3*k**2 + 21212*k. Let c(w) = w**3 + w**2 + w. Determine -3*c(n) + m(n).\nAnswer: -2*n**3 + 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/2 - -2. Put -4, r, 5 in descending order.\nAnswer: 5, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 4. Suppose -v = -4*r - 18, -6*v = -9*v + 4*r + 22. Determine f(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0522 - -0.1522. Which is the closest to r? (a) 3\/4 (b) -1\/3 (c) 2\/3 (d) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8746 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**2 - 2*w + 2. Let f be (-12)\/(-2)*(-4)\/(-6). Let u = 2 - f. Calculate q(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29402 is divided by 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(980) + 2*sqrt(980) + sqrt(980))\/(sqrt(810)*-1 - sqrt(810)))**2 - ((-2*sqrt(384))\/sqrt(12) - (2*sqrt(288) - sqrt(32)))**2.\nAnswer: -126616\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(49\/(-18)))\/((-183)\/(-854))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 3\/4, -1, 0.48?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 67.05246 months?\nAnswer: 0.05587705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z - 7*z)*(0 + 1 - 2 + (-1 - 1 + 0)*(0 + 0 + 1) - 54 + 37 + 40) + z + 4*z - 4*z + (-1 - 2 + 4)*(3*z + z - 2*z) + z + z + 0*z.\nAnswer: -135*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002616 to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301017*w = -300983*w - 544 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 3*r - 2. Suppose 0 = -s - 3*s - 12. Let y(p) be the first derivative of 2*p**2 - 3*p + 17. Let k = -107 - -109. Give k*y(j) + s*w(j).\nAnswer: 3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 13*y - 10. Let p be z(12). Differentiate 9*q - 1 - 8*q - p*q - 5 with respect to q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -25, 854 in ascending order.\nAnswer: -55, -25, 854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1716 and 24.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 719*s**3\/3 + 2*s - 168. Is j(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + 6*j - j + 5*j**4 - 6*j**4 - 3*j**3 - 5*j + 1 to the form x + w*j**4 + g*j + b*j**2 + f*j**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 28*k**3 + 2 + 57*k**3.\nAnswer: 85*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8715889 divided by 1.\nAnswer: 8715889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -768*t**2 - 27*t - 27. Let o(d) = -59*d**2 - 2*d - 2. Let y = -7491 - -7464. Give y*o(h) + 2*s(h).\nAnswer: 57*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 18. Let l be m(9). Solve -v = -3*s + 4*v, -l = 3*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-2))\/2 - 0. Let x(q) = -5*q - 4. Let l(f) = 11*f + 9. Suppose 4*m - 4 - 20 = 0. Let k(j) = m*l(j) + 13*x(j). Give k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/3 + (-406)\/204 and ((-2590)\/(-252))\/185 - (-350)\/(-144)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 889566, 3558289, 8006160, 14233179, 22239346?\n\"Answer: 889574*z**2 + z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1716 and 78?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44141 is divided by 14705.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 142714700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1471)\/2)\/(4 + ((-6)\/(-12) - 5)).\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n + 5*m, 5*n + 4*m - 15 - 24 = 0. Suppose 0 = -r + 4*r - 132. Calculate the greatest common divisor of n and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 8*y - 4. Suppose 0 = 4*j - 4*a + 20, -4*j + j - 5*a - 47 = 0. Determine z(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*g**3*o**2*p - 2818*g**3*o*p + 3*g**2*o - 23*g**2*p - 425*o**2*p + 2*o**2 wrt g?\nAnswer: -156*o**2*p - 16908*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k + 4*f - 3994, -5*f = 3*k + 12067. Let s = k - -8727. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-2))\/d*d)\/(d\/(d\/d**(-1\/6))))\/((d\/d**(-3\/7))\/d**(-5)))\/((d*d\/(d\/(d**1\/d)))**(16\/11)*(d\/d**(-1\/3)*d)\/d*(d\/(d**1\/d))\/d) assuming d is positive.\nAnswer: d**(-4643\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2460 and 652504340?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2\/2 - 3784188*p - 22705110 = 0.\nAnswer: -7568370, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 269.\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 7. Let y be (-20)\/(-6) + 1\/(-3). Let q be (0 - 1)*y\/2. Put -2, w, q in decreasing order.\nAnswer: w, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01614*1\nAnswer: -0.01614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -18. Let v be (24\/15)\/(-4)*10. Let t = 0.097 - 0.597. Which is the third smallest value? (a) t (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 + -92. Which is smaller: 5 or i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 7:49 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -5. Let i(w) = -2*w - 1. Let a be i(-5). Let t = a - 5. Calculate the lowest common multiple of g and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 6*h - 12. Let b be i(-8). Solve 4*u = -4*j - 24, -b*j - 11 = -u - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*w**2\/7 + 1276*w\/7 + 1284\/7.\nAnswer: -4*(w + 1)*(2*w - 321)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*g - 14*g - 25*g)*(0*g - 5*g - 4*g) - 2*g**2 + 2*g + 0*g - g**2 as f*g**2 + l*g + k and give f.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 2398189.\nAnswer: 719456.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 44\/(-12))*-3. Put 3, 0, 5, v in ascending order.\nAnswer: v, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91507 - -86362.3. What is b rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -23*l**3 - 45*l**2 + 343*l - 315. Let g(i) = 8*i**3 + 15*i**2 - 113*i + 105. Let y(p) = -3*d(p) - 8*g(p). Factor y(n).\nAnswer: 5*(n - 3)*(n - 1)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1523679527?\nAnswer: 761, 2002207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**4 - 5*d - d - d**4 + 7*d wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*m**4 - m + 29*m**4 - m - 15*m wrt m.\nAnswer: 228*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8692 and 279258749?\nAnswer: 1117034996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -142 - -156. What is the least common multiple of 328 and j?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 108 = 24. Let d(z) = z + 2*z + 6*z - i*z. Let b(j) be the third derivative of j**4\/12 + j**2. What is b(d(n))?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -24*b**2 - b + 1. Let v be m(-3). Let z be (-2)\/6 - v\/6. Let n = z + -8. Calculate the greatest common divisor of 18 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3125 divided by -625?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22753607*w**4 + 14909187 wrt w.\nAnswer: 91014428*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-36) + 108\/(-486). Solve 3*a = k, 1 = -v*k + 2*k - 5*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 4*u, 3*m + m = 2*u + 20. Let p = 46 - 42. List the prime factors of (2 + m)\/(p\/32).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1\/3, 0.07, -1\/4172 in ascending order.\nAnswer: -9, -1\/3, -1\/4172, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*f**5 - 2*f**3 - 790*f - 3?\nAnswer: 1500*f**3 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-34)\/((j\/(j**(-1\/41)\/j))\/j))**(3\/22) assuming j is positive.\nAnswer: j**(-2154\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561651 = -4*d - 4*q - 561455, 0 = -4*d - 3*q + 152 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/j**(2\/33))\/j)**(1\/24)\/((j**(-1\/16)*j)\/(j\/((j\/(j**(-1\/3)*j))\/j))) assuming j is positive.\nAnswer: j**(1283\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16821 + 16966.86. Round y to zero decimal places.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g\/(g**(-2)\/g)))\/g))\/g*g*g**8)**(-14)*(g**(-1\/3))**46\/(g*g**(-3)*g*g**(2\/7)\/g) assuming g is positive.\nAnswer: g**(-4108\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -10. Solve -2*u = w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (620\/(-9765))\/(60\/54)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-6)\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7640 divided by -145\nAnswer: 1528\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -38) + -27 + (2 - 2) - -4\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thjhtjtth. What is prob of picking 2 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b*n*q + 153*b*n - 2274*b*q + 2*n*q + 28*n - 53*q + 321 wrt b.\nAnswer: -4*n*q + 153*n - 2274*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5312464?\nAnswer: 2, 547, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*x - 6 = -2, 8 = 4*q - 4*x. Suppose -682 = -4*m + 5*a + 2794, 0 = -q*a. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2. Is -12\/11 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 - 962*x**2 - 9916*x + 32. Calculate w(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44883 (base 9) to base 7.\nAnswer: 153060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*u + 14, -6 = u + r - 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + b**2 - 2*b**3 + 0*b**3 - 2*b + 1. What is the tens digit of c(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (3 - 0) + (-70 + 115 - -56)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*u + 15 - 15)*(2*u**3 - 623*u + 623*u) + (5*u - u - 3*u)*(0*u + 0*u - 3*u**3).\nAnswer: 53*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-1 + 1 - f + (-2 + 1 - 1)*(3*f - 3*f + 2*f) - f - 2*f + 2*f - 2*f - 2*f + 5*f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242388346?\nAnswer: 2, 17, 137, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000355201 to 7 decimal places.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -156 + 17. Let s = -89 - j. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/11))**(7\/6)*((z*z*z**(-10)*z)\/z)\/((z*z**(3\/8))\/z) assuming z is positive.\nAnswer: z**(-2267\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 22200*p**2 - 4668681*p - 242076162.\nAnswer: 3*(p - 7606)*(p + 103)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from eweeunhyhwwwehwwwhnw?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 23 = -8. Suppose 3 = v, -4*v + v - 141 = -5*q. Solve -3*a + q = 5*o, a + 0*a - 20 = -d*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 12191 = u - 12183, 0 = 2*t + 4*u + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -45 + (16 - -27) + 0 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 10:10 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10015563449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 0, 117, -5 in increasing order.\nAnswer: -31, -5, 0, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 1.23. Let o = -0.19 + j. Let t = -0.16005 - o. What is t rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**5 - 32905*o**2 + 13045*o wrt o?\nAnswer: -60*o**3 - 65810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 p when three letters picked without replacement from lbbpbbbxbpxbbpbp?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/(-4)*(-28)\/21. Suppose 12 = 3*g, p = -r + 5*g + 4. Calculate the greatest common divisor of 20 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4697368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 928 - 2848 = -24*j. Calculate the smallest common multiple of 24 and j.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 14. Suppose 2*m = 2*k + 22, 3*m + 22 = 2*k + 47. Let r(g) = g - 5. What is k*r(d) - 3*i(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*n - 54, n - 4*l - 6 = 2. What is t in 5*t + 5*t - 14*t - 28*t**2 - n*t**5 - 52*t**4 - 60*t**3 = 0?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 x when four letters picked without replacement from xaxxxggxaagxxxxg.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 2 - 4 + 1. Let m be -1 - 3*6\/(-9). Let u be 7\/(m\/1) + -3. Calculate l(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1570645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 1}. What is prob of picking 2 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1977300 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 1 + 15 + 48\/(-56)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**7\/315 + 7*p**5\/120 + p**4\/12 - 10*p. Let t(z) be the third derivative of g(z). What is the derivative of t(f) wrt f?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585*v = 578*v + 1960. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149811*j**4 - 103902.\nAnswer: -599244*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 474991*m - 18. Let w be a(-2). Round w to the nearest 10000.\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1 + (-16)\/(-12)). Which is the third biggest value? (a) 0 (b) -2 (c) r (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20083.3 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = -6. Suppose -24 + 9 = -d*g. Suppose -q + 0*q - g*z + 52 = 0, -q + 3*z + 22 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*z = 175*z + 5*n - 15, 23*z + 6 = 2*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3441\/12 + 95\/76. Suppose 45*u = 36*u + s. What is the highest common factor of u and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2. Let n(v) = 17588365*v**2. Determine n(a(x)).\nAnswer: 17588365*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21463625 - -1?\nAnswer: 21463626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 27*v - r - 22 = 38*v, -r - 3*r = 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 42.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + sqrt(684) + 0.\nAnswer: -6 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 38. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 4*t + 0*t)*((-1 + 0 + 2)*(2 + 4 - 4) + 2 + 0 + 1 - 1 - 1 + 3 + (13 + 2 + 2)*(-1 - 4 + 1)).\nAnswer: 62*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - 2*d**3 + d)*(0 + 174339*d - 174354*d - 3) to the form x*d**3 + i*d**4 + y*d**2 + m + a*d and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (12 - (2 - -4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - n - 2*n)*(-3 + 4 - 2)*(-1 + 1 + 1)*(-2 - 1 + 6) in the form z + p*n and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8217836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/15 of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 1030427.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -75009, -2.\nAnswer: -75009, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 5.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(216) - sqrt(216))\/sqrt(6)*5)\/(-1*sqrt(768) - (3*sqrt(36))\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6aacc (base 13) to base 2.\nAnswer: 101111101001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 64, 9 in descending order.\nAnswer: 64, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**7\/2 - 17*r**6\/10 + 39*r**5\/20 - 3*r**4\/4 - 76*r. Let w(k) = 0. What is k?\nAnswer: 0, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 - 3*r**2 - 2372*r + 2*r**2 + 2*r**2.\nAnswer: -4*r**2 - 2372*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 115*d - 111*d - 1608. Suppose 5*z - d = -2*p, p - 5*z + 593 = 4*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-70))\/((-21)\/5)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70349744?\nAnswer: 2, 887, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 186, 183, 178, 171, 162, 151?\n\"Answer: -f**2 + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, 4\/5, -4\/11 in descending order.\nAnswer: 4\/5, -0.2, -4\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((-20)\/(-8) - 3). Suppose 5 = g - 3. Let n = g - 5. Solve b = -n*h - 5*l + 37, -2*l = -3*h - 5*l + 27 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h - 14. Let a be p(10). Let m be (29\/2)\/((-14)\/(-252)). Suppose -12*n - m = 627. Is n at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a2 - -4?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1548*r**3 - 614 - 774*r**3 - 86*r**2 - 781*r**3 wrt r?\nAnswer: -21*r**2 - 172*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -1475 + 1472 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 31*f. Give n(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 2309*y - 1926911. What is t(-651)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + -13 - (38 - 27)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 1:16 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 y when four letters picked without replacement from urbbrnubuyyjynurb.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4.3, 1, 1\/7, -1?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x + 37. Let v be t(-11). Let i be v\/((-1)\/1 + 0). Let y be ((-8)\/i - -5) + -4. Solve k + 3 = -r, -y*r + 11 = -k - k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000316359 rounded to seven dps?\nAnswer: 0.0000316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3367, 13928, 31679, 56626, 88775, 128132, 174703?\n\"Answer: s**3 + 3589*s**2 - 213*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690641 is divided by 1258.\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34192 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 10*t**4 - 9*t**4 + 0*t - t**3 - 4*t**4 - t**5 + 2*t + 3*t**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 214504092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**2\/2 - 4*k + 468. Suppose 3*j + 8 = b, -2 = j - b - 0. Give y(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 440.91 + -447. Let i = -6.0459 - j. What is i rounded to 3 decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13101 and 7.\nAnswer: 91707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r*w**2 + 6345*r + 6539*w**2 wrt w.\nAnswer: 2*r*w + 13078*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8678195ml to litres.\nAnswer: 0.0008678195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1755 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**5\/5 - 1253*x**4\/5 - 189338*x**3\/5 - 742348*x**2\/5 - 737352*x\/5 = 0.\nAnswer: -1078, -171, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.58 - -0.4. Let c = v + 0.02. Let k = -1179 - -1175. Put 3\/7, k, c in ascending order.\nAnswer: k, 3\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11*(-43)\/52 - (-526 - -534). Is 1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 19*d - 594. Calculate the remainder when 1437 is divided by x(36).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 2193408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -36. Let b = 8 + n. Let c(a) = -a**3 - 3*a**2 + 2*a + 2. Let x(m) = 3*m**3 + 7*m**2 - 4*m - 5. Calculate b*x(w) + 5*c(w).\nAnswer: w**3 - w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/3*(-9 - 3). Let i = 34 + -60. Let x = i - b. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31461 to the nearest 100.\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 1. Let i be n(18). Calculate the greatest common divisor of i and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-2\/17)))\/(((h*h**(-4))\/h)\/h))**42*((h**(-1\/7)\/h)\/(h\/(h**(-9)\/h*h)))\/(h**(-7\/5)*h**(-2)) assuming h is positive.\nAnswer: h**(117403\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2587 divide 5802641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/22 and (1629\/816 + -2)*23836\/(-649).\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -7 + 2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 66037425*o**2 + 205664*o - 874072. Let d(n) = 6422*n**2 + 20*n - 85. Let a(t) = 51416*d(t) - 5*y(t). Let b(h) = 2*h**2. Calculate b(a(u)).\nAnswer: 82612658*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 greater than 766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/36 and 76\/8487.\nAnswer: 33948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0\/(1\/(0 + 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(1\/9))*i)\/i**4*(i**0)**(3\/37) assuming i is positive.\nAnswer: i**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14 + 1 - (-1 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 289.\nAnswer: -4\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 + 31 = l. Suppose -l - 30 = -k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 21588*i - 63*i**2 + 28022*i - 49610*i.\nAnswer: -63*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 356.06, 1\/66, 3, 2\/11, -0.1 in increasing order.\nAnswer: -0.1, 1\/66, 2\/11, 3, 356.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*v, -3*z - 6 = -5*v + 2. Let i be (-42)\/(-10) + (-1)\/5. What is the second derivative of t**i - 2*t - 7*t**z + 3*t**4 wrt t?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -3559588?\nAnswer: -3559597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.25309 years in decades?\nAnswer: 9.925309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12695, -12697, -12699?\nAnswer: -12701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = -2*f. Let j = f + 3. Suppose -j*s - 13 = -m + 2*m, -2*s - 8 = 0. Solve m = -5*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 130 from 2.1.\nAnswer: -127.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/43? (a) 2 (b) 4 (c) 1\/28 (d) -0.0006 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 69 = -15*n, 6*n - 7*n + 0*n + a = -9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 236747 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/320*5*30\/(-375).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 5*d**2 + d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1276*y - 311*y - 24125 = 0 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94412 is divided by 13487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 15) in base 12?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.2 (b) 1 (c) -1\/86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -457, -1103, -1937, -2959, -4169, -5567, -7153?\nAnswer: -8927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*x**2\/2 - 679625*x\/2 - 75515.\nAnswer: 5*(x - 15103)*(9*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 - -55.2. Let l(k) = k**2 - 10*k + 9. Let o be l(9). Let a = -2 + o. What is the nearest to -0.1 in c, a, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(-6*14\/112).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**5\/20 - n**4\/6 - n**3\/2 - n**2\/2 - 2*n. Suppose -6 = -0*h - 2*h. What is x(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 5966?\nAnswer: 17898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/5)\/t*t)\/t)**(-7\/10))**31 assuming t is positive.\nAnswer: t**(651\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/49 (b) -0.6 (c) -180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -12*j**5\/5 + 14*j**3\/3 - 2*j**2 + 16*j - 243. Find the second derivative of u(k) wrt k.\nAnswer: -144*k**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155600 divided by 13?\nAnswer: 155600\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**5 + 2148*n**4 - 169480*n**3 - 17269008*n**2 + 1665605984*n + 1682703360 = 0.\nAnswer: -90, -1, 106, 416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/450 and -94\/315.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -128425 - -0.19\nAnswer: -128424.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 0) + 6 + -5. Suppose -2*o + g*o = 122. Let x = o - 39. Calculate the highest common divisor of x and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3 + 22. Suppose u*x + w - 136 = 3*w, 87 = 3*x - 3*w. Suppose -5*z = h - 261, -5*h - 2*z + 1425 = -z. What is the highest common factor of x and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 3. Let x(f) = -f. Let p(q) = 1. Let h(t) = -p(t) + x(t). Let c = -14 - -23. Suppose k + 2*k + c = 0. Determine k*h(y) + j(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1112607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 276 - 280. Let f(n) be the second derivative of n**3\/6 - 3*n**2\/2 - n. What is f(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4204 or -4205?\nAnswer: -4205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 10. Suppose -13*s + 42*s = 145. Give z(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-22))\/((-3)\/(-1))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 642 = 13*d + 85*d - 3376 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r + 9 = 2*w, 2*r + 22 = w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 740*k**4 + 12*k - 661*k**4 + 570*k wrt k.\nAnswer: 948*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - 0. Let r be (-1)\/3 + (-2)\/k. Suppose -4*p + 19 + 21 = r. Calculate the smallest common multiple of p and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/60 and 14\/2655?\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21244*2.073.\nAnswer: 44038.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o**(-1\/3)*o*o)\/o))**(-1\/20)*(o*(o\/((o\/(o\/o**0*o))\/o))\/o)**(-1\/4) assuming o is positive.\nAnswer: o**(-43\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298177993*o**3 + 15*o**2 - 15*o**2 - 298177995*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/11 - 14140*l\/11.\nAnswer: -l*(l + 14140)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 + 49708297 - 45*v - 49708297.\nAnswer: -6*v**2 - 45*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 460 = -224*c. Let i = 7 - 11. What is the biggest value in -1\/5, i, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55045 (base 6) in base 3?\nAnswer: 101102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23367 - 125805 = -3*j - 3*b, -5*j = -3*b - 248644. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14866609 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002189697813 to seven decimal places.\nAnswer: -0.0021897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j + 40*j - j)*(3*j**3 - 4*j**3 - j**3) as y*j**4 + c*j**2 + b*j + g + r*j**3 and give y.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006166264 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from ksskdkslkl?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/33798732 and 89\/1421442.\nAnswer: 304188588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 8*b + 12. Let q be p(9). Let m be q*4\/(-6) - 0. Let t be 0 - (0 - -10)\/m. Solve -2*g - 20 = 2*g, 0 = t*v - 4*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 + -3. Let s be ((-2)\/(-2))\/(6\/30). What is the second smallest value in 0.2, s, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 882 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/6))**(2\/5)\/(x**(-1)*x*x*(x*x**(2\/5)\/x)\/x) assuming x is positive.\nAnswer: x**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**3\/6 - a. Let w(h) = 13 - 12 - 117*h - 7 + 6 - 69*h. Calculate w(u(t)).\nAnswer: 186*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17444 divided by 4?\nAnswer: -4361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/29)\/(b*b**(1\/63)*b))\/(b**(-32\/5))**(-41) assuming b is positive.\nAnswer: b**(-2416069\/9135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -0.1\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -2*l. Suppose a + 676 = l*o - 154, -5*o - 3*a = -810. What is the highest common factor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 6*u - 15. Let h = 27 + u. Solve 0 = 4*m + a - 17, 3*m - a + 2*a = h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1753.1 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-2646)\/9058) + (-96)\/(-4)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178256665?\nAnswer: 5, 31, 47, 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 2993.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2922284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -120984\/17 (b) -0.2 (c) 256\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 14*n - 43. Let l be h(-11). Which is bigger: l or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n**3 - 17*n - 407*n - 181*n.\nAnswer: 29*n**3 - 605*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 942585 and 36190?\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 16, -5 in ascending order.\nAnswer: -8, -5, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 205, 212, 241, 298, 389, 520?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000068979831 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/40*3*4\/(-21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhqhhhhqhbb. What is prob of picking 2 h?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 + -80.9. Let c = -4\/3 - -14\/15. Let d = -4 + 4.3. What is the third biggest value in w, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13711 + 4?\nAnswer: -13705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -37*o. Let v = -28658 + 28658. Let d(j) be the third derivative of 0*j**3 + 0*j**4 + v - 33*j**2 - 1\/60*j**5 + 0*j. Determine d(r(p)).\nAnswer: -1369*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -92964.923 to the nearest 1000.\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Suppose o*q - 4*b - 35 = 0, -q - b = -0*q. Suppose -2*a + 10 = 0, a = 3*i - 3*a + 8. Sort -3, q, i in descending order.\nAnswer: q, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38, -31, -20, -5, 14, 37, 64?\n\"Answer: 2*s**2 + s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**4\/4 - 25*n**3 - 174*n - 553. What is the derivative of s(a) wrt a?\nAnswer: 3*a**2 - 150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -26 + 6. Let g be ((-12)\/15)\/(2\/l). Is 16 a factor of g - -5*6*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -325, -338?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 2. Let o(a) = 4*a - 1. Determine -2*o(f) - 3*z(f).\nAnswer: f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -154 * -15.\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*i - 44 = 4*m, -i = -3*m - 14. Let x be m*(29\/(-30) - (-16)\/120). Solve -20 - 5 = -x*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: d040 (base 15) to base 9\nAnswer: 66236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 28*x + 232. Suppose -83*z + 72 = -89*z. Does 5 divide t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6)*2*-12. Let t = -12 - u. Suppose -t*w - 4*i - 56 = 0, -2*w + i + 50 = -7*w. Is -2 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yasaawasmyska. What is prob of picking 3 a and 1 k?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*k - 759 = -3549 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10965.2163 rounded to the nearest ten?\nAnswer: -10970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38149853?\nAnswer: 7, 17, 19, 47, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92835\/16 - -5807. Find the common denominator of -25\/48 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 615300 + 615300.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) -2\/5 (c) -0.3 (d) -94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16070, 18917, 21764, 24611, 27458?\n\"Answer: 2847*x + 13223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 7189798*a = 7189794*a - 92, -7*a - 188 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-18) + (-2)\/9. Is 1\/96 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 356 = 350 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*u**2 + 9*u**2 - 4*u**2.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - t)*(-t + 3*t + 0*t)*(t**2 - 2*t**2 - t**2) + (13*t**2 - 77 + 77)*(-3 + 2*t**2 + 3).\nAnswer: 30*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*j + 2*j - 87, -158 = -3*z - 2*j. Suppose 13 = 3*w - b - 47, -4*b - 80 = -4*w. What is the remainder when z is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v = -76 - 38 - 57 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 77. Suppose -4*a + 9*a - 1305 = s. List the prime factors of a.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3\/19 + 77498*k**2\/19 + 7380948*k\/19 - 22840272\/19 = 0. Calculate k.\nAnswer: -98, 3, 38844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-30)\/225)\/((-2)\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2085, 2307, 2547, 2823, 3153, 3555, 4047?\n\"Answer: 3*m**3 - 9*m**2 + 228*m + 1863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 18 - 20*y**3 + 6*y**3 + 3*y**3 + 5*y**3 + 4*y + 4*y**3 + 12*y**2. Calculate v(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {f: 2, t: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2143 times -197\nAnswer: 422171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38346\/(-41832))\/(66\/56).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 103.76 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 977 + -1065. Let d be ((-112)\/(-200))\/(t\/(-20)). Is d at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.53 - 0.57. What is the third biggest value in f, -4, 0.06?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -29.22886?\nAnswer: 11.691544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, 0, 3.\nAnswer: 0, 3, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (40\/28)\/(6\/14*2\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5*r - 5, 0 = g - 0*g - 4*r + 2. Let y = 29 - 33. Let t be (6\/y)\/(51\/(-136)). Solve i + g*m = -1, -5*i + t*i + 4 = -3*m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 487484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -20*u**2 - u + 18. Let o be c(-3). Let k = o - -154. Which is greater: 21 or k?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/28 of a week?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 u when three letters picked without replacement from lllllllullllljll?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxm when three letters picked without replacement from fmmxflxxxmfmmxmxx?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 9:03 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, 2, 0.1, 0.2, -4\/47?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66183 (base 11) to base 16.\nAnswer: -1772c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.94509052 and 0.3.\nAnswer: 1.483527156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000572192 to 6 dps.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and -37.81.\nAnswer: 30.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20956 = -3*p - 4*u + 24324, -p + 2*u + 15100 = 0. Let s = p + -543503\/36. Let m = s + 13\/12. Which is the second smallest value? (a) m (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 48248*a - 290983688.\nAnswer: -2*(a - 12062)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275, 2278, 7719, 18320, 35803, 61890?\nAnswer: 98303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*o + 174 = -27*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - 3)*1 + 0. Let o(p) = p + 16. Determine o(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**6\/160 + 377*p**5\/40 - 142129*p**4\/32 + 88*p**2 - 19*p - 1. Factor j(u).\nAnswer: -3*u*(u - 377)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -439840*d**3 + 43*d**2 - d - 10455 wrt d?\nAnswer: -2639040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 42*c**2 - c - 12. Suppose 3*u + 50 = -7*u. Is b(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 2*o + 10. What is y(7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0 = 8. Let d(k) = 142*k - 258*k + 128*k - 23. Let g be d(2). Sort o, -1, g in decreasing order.\nAnswer: o, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -10 + (-3 + -2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794226188?\nAnswer: 2, 7, 28365221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3556 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**3 + 2*h**2 - h. Let s be f(1). Calculate the highest common factor of 10 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8106)\/94570)\/((-126)\/10).\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 25 = 0, -4*j - 2 = -3*d + d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - y = -0*i - 5, 2*i + 4*y = 20. Suppose i = 5*p, 2*p = 2*u - 2*p - 108. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 2:57 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -575, -1921, -4533, -8831, -15235, -24165, -36041?\nAnswer: -51283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -75900?\nAnswer: -75900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-35) + 12\/14. Is ((-63)\/(-27))\/(r\/33) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 137\/26304*-64*8\/38.\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9983 - 10751. Which is the smallest value? (a) z (b) 0.2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(99)\/(sqrt(9)*3)))**2*-2 + -2*(sqrt(832) + -3)*-1.\nAnswer: -240 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -961*p**2 + 959*p**2 + 411*p - 183*p + 6*p**3 to y + g*p + w*p**3 + m*p**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, -2\/17, -2\/19?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 11*g - 1. What is f(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddv when three letters picked without replacement from {v: 3, d: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12219 + -7174. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkk when three letters picked without replacement from kkkpppkpkpkkpkpkkppp?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 1376576707?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-394258)\/(-3720) - 128\/(-7680).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*a + 23*a - 603067. List the prime factors of a.\nAnswer: 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44319859 to the nearest integer?\nAnswer: 6657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21324201181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 20 + 233*m - 114*m - 121*m. Let r(v) = 3*v - 2. Let t be r(3). What is the units digit of o(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*f - 3 + 6, -5*k = 4*f + 6. Let u = 1147\/14 + -82. Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*i**2 + 12*i**3 - 9*i**2)*(3*i + i - 2*i) + (-2*i + 3*i - 2*i)*(0 + 0 + 6*i**3) as g*i**3 + d*i**2 + m*i + q + p*i**4 and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25823015 a multiple of 2458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - 0.42. Let s = 3602\/7 + -515. Which is the second smallest value? (a) g (b) 3\/5 (c) s (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 5*u = 4*h + 40, -4*u - 3*h = 84 - 40 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klk when three letters picked without replacement from lkklkkkklkkkkk.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(-110)*6 - 50\/(-275).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 20, 0, 5, -90, 0.3, 1\/3 in descending order.\nAnswer: 20, 5, 1.2, 1\/3, 0.3, 0, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.479 - 0.006. Let w = 0.015 - a. Let j be (-63)\/30 + (-2)\/5. What is the second biggest value in 2\/13, -0.2, j, w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -0.03, -170\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**(-1\/4)*r)*r\/(r*r**(-9))*r)\/(r\/r**3)**35 assuming r is positive.\nAnswer: r**(325\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 43 - 62 + 2*v**2.\nAnswer: 2*v**2 - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -5) + (12 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Suppose 0 = -5*f + 5*l - 46 + 6, -l = -3. Let r(p) = p**2 + 4*p - 3. Let q be r(f). Solve -d - q*h = m, -h = -d + 2*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303 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: b\"What is the lth term of -93996, -93994, -93994, -94002, -94024, -94066?\n\"Answer: -l**3 + 5*l**2 - 6*l - 93994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 466*o**4 + 69*o**3 + 470*o**2 - 40*o**3 - 469*o**4 wrt o?\nAnswer: -72*o + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3768380 to the power of 1\/2, to the nearest integer?\nAnswer: 1941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*b = -297 - 237. Let u(k) = k**3 - 2*k**2 - 6*k + 2. What is the lowest common multiple of b and u(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.038, 2, 2.1, 1\/8, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -77 - (64 + -51 + -15)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -15\/2, -2\/3, 1\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 5*u**2 - 7*u + 16. Determine a(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 - (-76)\/24) + (-82)\/(-12) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 0.0413 (c) -122 (d) 0.4 (e) -2\/9 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 234\/17, 1\/10?\nAnswer: 234\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 106*y**2 - 245\/6*y**3 + 0*y + 0*y**5 - 8\/7*y**7 + 0*y**4 + 0 + 0*y**6. Differentiate c(o) wrt o.\nAnswer: -960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 5*t - 12 = 9, -5*t = 20 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 352650763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(-24)\/(-64)*(31 + -33)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/337 (b) -5 (c) 0.01 (d) -1 (e) -204\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000632345 rounded to six decimal places?\nAnswer: -0.000632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 174. Let d(t) = -2*t. Determine l(d(y)).\nAnswer: 2*y + 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sjssewwwwwwvsee.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 829012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -614900 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1326 and 21029034.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -243474 + -112?\nAnswer: -243586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2592017 is divided by 737?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4, 0.4, 7988?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a**2 - 6*a - 7. Suppose 22*z = 27*z + 35. Suppose 4*h = j - 2, 0 = -3*h - 0 + 3. Let x(b) = 8*b**2 - 5*b - 6. Calculate j*u(w) + z*x(w).\nAnswer: -2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1613920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/15 + 8*y\/15 + 14\/5.\nAnswer: -2*(y - 7)*(y + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23114490 and 1981242?\nAnswer: 69343470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-7945))\/(176\/56). Is d at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -447565 times 76?\nAnswer: -34014940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (29 - (-160)\/(-32))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268 and 283827209?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 16*h + 20. Suppose 5*j + 80 = -0*j. Let s be k(j). Let n be 7\/15 + s\/(-50). Is n greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 36*f - 4. Let s(j) = -3*j**2 + 45*j - 5. Let x(k) = -5*g(k) + 4*s(k). Let w(o) = o**2 + 5*o + 351. Calculate w(x(r)).\nAnswer: 4*r**4 - 10*r**2 + 351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 12:39 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 = 4*r. Suppose k + 10 = 5*c - 8, -9 = -r*c - 2*k. Which is bigger: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from rjjhjrjhjhyjyyj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 5, 17, 3.\nAnswer: 3, 5, 17, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60254 - -10?\nAnswer: 60264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6.805512us?\nAnswer: 0.00000000189042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -11*v**6\/360 - 4*v**3\/3 - 13*v**2. Let r(f) be the first derivative of s(f). Let c(a) = a. What is r(c(w))?\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 4*z**2 - 5*z + 5. Let i be u(4). Is (4 - (0 + 1))*(-23605)\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 18*y**2 + 3*y + 18.\nAnswer: -3*(y - 1)*(y + 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - 11?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*t - 22 = 0, -4*s = -s + 5*t - 49. Suppose 5*v + 2*d - 9 = 4*v, -4*d = v - s. Suppose -v*l - 541 = -91. Round l to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50889 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -40443010 (base 5) in base 12?\nAnswer: -1398b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -536038254, -536038257, -536038260, -536038263?\nAnswer: -536038266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2 + 12*s**2 + s**3 + 4 - 11 + 6*s. Let p be u(-11). Suppose p = 5*i + 4*x - 37, 4*i - 45 = 5*x. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8220968 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 74332*q - 2818840.\nAnswer: -4*(q + 38)*(q + 18545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -347 - 0?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 + 121. Suppose -x*t - 532 = -12*t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2 = g - 3, -5 = 4*z - g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91739666?\nAnswer: 2, 45869833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67748 is divided by 203.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-560)\/(-21))\/(-8))\/2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.2 + 9. Let a = i - 1. Let r = 0 + a. What is the third smallest value in r, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.411 and 1093.4.\nAnswer: 7009.7874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*i + 2 = -7*v, -2*v + i = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2*(sqrt(891) - (sqrt(891) + -1)) - (1 + sqrt(891)*-2)))**2*-1.\nAnswer: -3565 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31\/5 (b) 0.2 (c) 0.5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30335 or -0.418?\nAnswer: -0.418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, m: 3}. What is prob of picking 1 b and 2 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22861, 22538, 22001, 21250?\nAnswer: 20285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3600827339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/18 + (-145)\/(-3). Let q = 69 - m. Let f = 69 - q. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 99*w + 195. Let g be q(2). Which is the nearest to 0.06? (a) -2\/3 (b) -0.1 (c) 2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**7\/210 - k**4\/8 + 3*k**2\/2 - 1. Let u(q) be the second derivative of y(q). Find the second derivative of u(p) wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-20))\/(((-21105)\/180)\/7)?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5364 and 352.\nAnswer: -188.8128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3381 and 2070?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/(-24)*160\/(-24). Is l greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1842 + 3728941.7561\nAnswer: 3730783.7561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, -1, 4, -40.\nAnswer: -40, -13, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 128 = 3*a, -5*a + 14*f - 17*f + 213 = 0. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1083, -2168, -3253, -4338, -5423?\nAnswer: -6508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -4. Let d be 666\/21 - j\/7. Let k be 3*(6*115\/45 - 10). Calculate the greatest common divisor of k and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 246, 490, 734, 978, 1222, 1466?\n\"Answer: 244*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2. Let g(x) = x**2 - 7*x - 5. Let i be g(8). Let c(b) = -5*b - i*b + 7*b. Give f(c(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6629*o + 4123223. Calculate d(-622).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - 11*j**2 + 2*j + 4. Let u(r) = 11*r**2 - 2*r - 1. Let q be u(-1). Let o be a(q). Round o to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*b**2*k**4 - 283*b**2*k**3 + b**2*k - 556*b*k - 2*b + 11 wrt k?\nAnswer: 636*b**2*k**2 - 1698*b**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -50*v + 2. Let x be k(-1). Suppose -5*p + 18 + x = 0. Calculate the greatest common divisor of p and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + (sqrt(204)\/sqrt(108) + sqrt(17) - sqrt(17)) + sqrt(17))**2 + sqrt(119)\/(sqrt(7) - (sqrt(7)*1 - sqrt(7))))*-3.\nAnswer: -833\/3 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p + 2. Let o = p - -20. Is 13 a factor of (-413)\/(-6) + 3\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from glclttiggllclcillc.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13, -7, -1 in descending order.\nAnswer: 13, 5, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3300007*h*s + 3*h - 1321203 with respect to s.\nAnswer: -3300007*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*d + 32*d + 8 - 144 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -5*c**7\/42 - 17*c**4\/24 - 1033*c**3\/6 + 865*c**2. What is the derivative of s(p) wrt p?\nAnswer: -100*p**3 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153611 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 191.81 - 3.81. Let r = -193.25 + b. What is r rounded to 1 dp?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r + 2. Let u(p) = 17*p - 9. Let b(g) = 2*u(g) + 9*w(g). Suppose 91 = 8*m - 325. Let l(v) = -24 + 4*v**2 - 27 + m + v**2. Determine l(b(o)).\nAnswer: 20*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j. Let r(s) = -4*s. Let d(u) = 3*r(u) - z(u). Calculate d(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65997?\nAnswer: 3, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, 0.09, 0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304 (base 9) to base 14.\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b - 4 = 0. Let r be -1*(1 + 3\/(-3)). Solve v - 2*v - b = r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1445\/8 (b) -0.12 (c) -2 (d) 1 (e) -0.1 (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + l - 4*l + (36 - 1 + 17)*(2*l + 9*l - l) as w*l + b and give w.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118206328*n**6 - 47153*n**2 - 193 wrt n.\nAnswer: -14184759360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a\/(a**(-3\/2)*a)))\/a*a)**(-3\/2)\/((a*a*a\/(a**15*a*a)*a)\/a**(1\/3)) assuming a is positive.\nAnswer: a**(169\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 3:09 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2276260384?\nAnswer: 2, 43, 47, 61, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4619242.1 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 21708?\nAnswer: -11\/21708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - d - 14, -3*i + 5 = -6*i - 4*d. Put 2, i, 4 in decreasing order.\nAnswer: 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**3)**(-21)\/((y*y\/(y\/(y\/y**(-3\/10))*y))\/(y\/y**(-9))) assuming y is positive.\nAnswer: y**(507\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 198708 divided by -49677\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*o**3 - 503*o + 503*o.\nAnswer: 252*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (369 + -349)*12\/16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, p: 12}. What is prob of picking 4 d?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5. Suppose t = 3*f - 129 - 129. List the prime factors of f.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -182 in 5, -45.7, 18?\nAnswer: -45.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaayxa. What is prob of picking 1 x and 2 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - -8) + (-2 - (-3)\/(-30)). Let n = -3 + 0. Which is the smallest value? (a) k (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.124 - -0.127988. What is t rounded to 4 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72 - 25 + 538*f - 47 to the form h*f + p and give h.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -20*u**3. Let h be l(-1). Let a(s) = -s**3 - 19*s**2 - 18*s + 6. Let m be a(-18). Solve m*n - 2*n = -h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -8, -5, -3566, -4 in descending order.\nAnswer: -2, -4, -5, -8, -10, -3566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 19*a. Let n(r) = 5*r + 33. Let o(g) = -2*g - 12. Let s(v) = -4*n(v) - 11*o(v). Determine q(s(y)).\nAnswer: 38*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4389 at least -4461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 28308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 8) in base 15?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -272.2?\nAnswer: 272.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1448*w - 992 = -35*u - 1445*w, -3*w - 92 = -3*u - w for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -878 (b) -6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*j**2 - 1 + 0 + 3 wrt j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.517803108 rounded to 2 decimal places?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13944 divided by -581?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13282 or 7445?\nAnswer: 7445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 17. Let o be d(10). Let y(z) = 8*z**2 + 2*z - 6. Let p be y(o). What is the tens digit of (-2)\/1 + 4 + p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**9\/98280 - q**8\/43680 - q**4\/6 - 18*q. Let s(y) be the third derivative of b(y). Let s(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6 - -2.4. Let g = -2.3585 - 0.5905. Let h = -0.051 + g. Which is the nearest to l? (a) 0.4 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2737 and 10166?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3465, 6953, 10459, 13989, 17549, 21145, 24783?\nAnswer: 28469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/56 of a week?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 2*l - 5. Let u be a(5). Suppose 4*x - 27 - 5 = -2*c, c = -4*x + 36. Is 2 a factor of 44\/x - 12\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -44*l + 46*l - 3888, -3*c + 5841 = 3*l. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67405, -67153, -66733, -66145, -65389?\nAnswer: -64465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2986505257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 6 (b) 0.07 (c) 0.1 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**4 + b**3 + 170*b**2 wrt b.\nAnswer: -144*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2289.5 + 2289. Let b(q) = q**2 - 6*q + 2. Let h be b(5). What is the fourth smallest value in 1, h, -5, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.00806 + 523.69194. What is a rounded to the nearest 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -615 divided by 4.\nAnswer: -615\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyxxxxxxxxxyxxxxxxxx. Give prob of picking 1 y and 1 x.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4150724080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5348?\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-912)*19*4\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -2\/5 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*j = -5*j - 39, 3*y - 5*j - 33 = 0. Suppose 3*p = -b + y*b - 4, 2*p - 2*b = 0. Solve 0 = -3*x + 4*k - 3*k + 18, 2*x = -p*k + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 362 = 128. Let u be (-51)\/(-21) - 21\/v. Is u at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(18)*2)\/(-3*1*sqrt(9))*-2*-4 + -5)**2.\nAnswer: 160*sqrt(2)\/3 + 737\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*v - 3*v - 22 = 0, 4*a - 2684 = 123*v + 98*v + v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 3*o**2 + 4*o + 25. Let y(i) = -14*i - 49. Let z be y(-4). What is the hundreds digit of x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27294.\nAnswer: 2, 3, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001331453457 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-6))\/(16\/(-72)*-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 16 = -26. Suppose p*v - 27 - 13 = 0. Let s(o) = -o**3 + 7*o**2 + 7*o + 9. Calculate s(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**3 + 2. Let z = -8 + 18. Suppose 5*h + a = z, -4*h + a = -0*h - 8. Is 25 a factor of q(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 24 + 5*f + f - 11. Let h be y(15). Let z be (20\/h)\/(9\/(-5)). Is 1 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g + 4. Let r(q) be the first derivative of 5 - q + 1\/2*q**2. Let u(n) = p(n) + 5*r(n). Let k(t) = -2*t - 1. Calculate 2*k(v) - 3*u(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193 * 3.1.\nAnswer: -598.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -139*j**4\/4 + 376*j - 453. What is the derivative of o(x) wrt x?\nAnswer: -417*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -4008\/2509?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-210)*-3)\/((-7)\/(-35)). What is the closest to 3\/8 in 17, -0.2, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 - -68. Suppose i*u - 28 = -13. Solve -5*x + 4*x = u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0.1, -100, -0.048?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -0.08, 0, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51002 - 3.\nAnswer: -51005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437241 a multiple of 681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 903519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1212 + -0.1212. What is the fourth biggest value in -3\/4, t, 2\/939, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*w + 11194 = 11*w - 197*w for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -11. Let l be (24\/n)\/(6\/(-28)). What is the third derivative of -116*h**2 + 36*h**5 - 3*h**4 + 3*h**l + 130*h**2 wrt h?\nAnswer: 2160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 1\/510*o**5 + 0*o**3 + 0*o + 1\/51*o**4 - 12*o**2 + 0. Determine v so that z(v) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00069544 rounded to 6 dps?\nAnswer: -0.000695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025942715?\nAnswer: 3, 5, 7, 19, 23, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.14 - -0.14. Let o = -0.818 + 1.088. Which is the second smallest value? (a) o (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33.3 and -0.29.\nAnswer: 9.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**5\/4 - 3*d**4 + 2*d**3 - d**2 - 2494*d + 1. Give j(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 82, 124, 168?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -0*r + r. Suppose r = 3*c - 0*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -0.05184, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/160 (b) 22847\/144 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 3*h**2 + 1\/60*h**6 + 0 + 1\/20*h**5 - 2\/3*h**3 - 1\/210*h**7 + 0*h - 1\/6*h**4. Determine l so that c(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.048 + -0.048. Put w, 0.5, -1\/3 in descending order.\nAnswer: w, 0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7))**(9\/2)\/(v**(-1\/3)*v)**(1\/15))\/((v**(-1))**3*(v**(-3\/4)*v*v)\/(v*v\/(v**1\/v))) assuming v is positive.\nAnswer: v**(6289\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 848572339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*34\/(-20) + (-37035)\/(-2469).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/(b*b**(1\/4)\/b*b))**(-2) assuming b is positive.\nAnswer: b**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29483?\nAnswer: 29483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2075 is divided by 96.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222\/30 + -5 + -6*5\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**42*g**(-1\/6))\/((g*g**(-29)*g)\/g)**(2\/13) assuming g is positive.\nAnswer: g**(-2875\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 = -2*v, -v + 1 = 2*i - 1. Suppose i = 2*z - 0*z - 2*w + 200006, 5*w + 199985 = -2*z. What is z rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.07 + 0.07. Let b = -9 - c. What is the third biggest value in b, 3, -2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b**(-9)\/b)\/b)\/b))\/(b\/b**(-1\/30)) assuming b is positive.\nAnswer: b**(359\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-4))\/(10\/20). Let x be (4 + v)\/((-1)\/2). Is 2\/x - (-1395)\/63 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*t = -9, -4*b + 14 = 5*t + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/89? (a) 5 (b) -0.019 (c) -3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 362 = -p - 2*v, p = v - 179. Find the common denominator of (-1282)\/p - 2\/5 and -29\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 196802.4944 and 41.9.\nAnswer: 196844.3944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 - 9*y. Let n(z) = -2*z**2 + 4*z. Let i(t) = -9*n(t) - 4*w(t). Let p(a) be the second derivative of a**4\/6 + 2*a. Determine i(p(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h = -4. Let w = h + -6. Let b(t) = 6*t**3 + 6*t**2 + 10*t + 2. Let i(c) = -c**3 - c**2 - c. Let v(p) = b(p) + 8*i(p). Calculate v(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4, -4*j - 2 = z + 11. Let h = -1.8 + 1.9. What is the closest to 0.1 in 1, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65014124 divided by -1\nAnswer: -65014124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 3*l**2 - 1. Let w be g(-1). Let d = w + -2. Let m = -8 - -4. What is the biggest value in d, -2, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*c**4 - 5*c**2 - 10*c**4 + c**4 wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -0.3 (c) -1 (d) -0.5 (e) -0.06 (f) 0.4066\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6544 and 7384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 487 - 10 = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 - 507\/5. Let j = -0.88 + 0.08. Let i = -1.8 - j. What is the smallest value in 0.1, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.1 (b) 10 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, 7, -1\/6, -4, -11292?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 2471\nAnswer: -2471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41180682?\nAnswer: 2, 3, 53, 129499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 29*b - 48*b + 17*b. Let y(n) = 916*n**2. Determine v(y(i)).\nAnswer: -1832*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3 + 108*c**2 - 272*c - 384 = 0.\nAnswer: -1, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010042 to 7 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 61. What is the remainder when 91 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:43 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 5*t - 4. Let m be d(6). Suppose -u + 3*q + 15 = 0, -q + m*q - 9 = -2*u. Let z = -3 + u. Solve -x = 2*x - z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/((-27)\/(-204)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h + n - 7 = 0, 5*n - 2 = h. Suppose -8*z = -h*z - 20. Suppose 3*a + z = 43. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -408 + 1615\/4. Calculate the common denominator of 115\/12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -121*m + 43*m**3 - 20*m**3 + 15*m - 22*m**3 - 2 in the form h*m**2 + f + l*m + t*m**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*g - 2*g - 4*y, 5*y = 4*g - 32. Suppose -7*x = -g*x - 20. Solve 0*z - 3*i = z - 2, x*i = 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 87. Let q = -83 - r. Let w = q - -109.99999914. What is w rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u + 18. Let b(m) = -17*m + 57. Let n(t) = 10*a(t) - 3*b(t). Suppose -2*g - 4 = -g. Determine n(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u**3 + 4*u**2 + 4*u + 2. Let p(q) = 9*q**3 - 5*q**2 - 5*q - 3. Let n(c) = -5*g(c) - 4*p(c). Is 18 a factor of n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**8\/1680 + m**6\/360 + m**3\/6 - 9*m**2. Let n(s) be the first derivative of p(s). Solve n(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**3 + 3*m**2 - 9*m - 527. Factor w(z).\nAnswer: 3*(z - 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 4*s - 134 = -131, 2*s + 2 = 6*l - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) 3\/5 (c) 9 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -44 + 2\/3*j**3 + 0*j**2 + 60*j - 39\/4*j**4. What is the first derivative of c(b) wrt b?\nAnswer: -117*b**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) -4 (c) 0.02 (d) -2328\/25 (e) 0.1 (f) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 2, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.06 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4 (c) 3\/2 (d) 41 (e) -662\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13 - 12\/(-1*4). Let l be 2\/(-10) - 42\/s. Solve 2*q - 2 = -l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t - 13. Let d be z(0). Let j = -5 - d. Let v(l) = 2*l + 30. Let q be v(-14). Solve 4*k - q*k + j = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/5239*(-12)\/18. Let i = p + 487207\/52390. Calculate the common denominator of -49\/4 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 - 8*s**3 - 8*s**3 + 24*s**3 + 2*s**2 to q*s + f + a*s**3 + g*s**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.53 + 0.53. Which is the nearest to 0.4? (a) -4 (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 324 - 18. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3241317?\nAnswer: 3, 1080439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -344*g**2 - 28290. Let z(j) = -19*j**2. Calculate f(z(y)).\nAnswer: -124184*y**4 - 28290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (90 + -93)*44\/(-4)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + 1 + p**4 + 23*p**2 + 18*p**2 - 9*p**4 - 42*p**2 as h*p**2 + m + z*p + j*p**4 + b*p**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/135 and -47\/2805?\nAnswer: 25245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-54)*90\/(-40)*16\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87328 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450 = 63*c - 18*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 1236?\nAnswer: 9888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 262 divided by -22923\nAnswer: -262\/22923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let s be 3 + 0 + 0\/3. Let w(a) = -2*a**2 + a - 1. Let n(t) = s*z(t) - w(t). Is n(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13155572 rounded to the nearest 100000?\nAnswer: -13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v - 2*p + 82 = 0, -5*v + 103 = 2*p. Suppose -y = -0*y - 12. What is the remainder when v is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -351352 divided by -87838\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 11:06 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 - 11348*q - 11346*q + q**2 + 22695*q - 2*q**4 to w*q**3 + f*q**2 + s*q**4 + t*q + c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 5:30 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 + 3*t + 121. Let d(j) = j**2 - j + 3. What is 3*d(n) + f(n)?\nAnswer: -n**2 + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1060 - 17 + 490*y + 234*y wrt y?\nAnswer: 724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242.972698*0.4.\nAnswer: 97.1890792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k. Let o(a) = 21*a**2. Determine o(s(w)).\nAnswer: 1029*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -7. Let r(b) = -5 - 2*b + 0 + b + 2. Let n(x) = -5*x - 14. Let p(u) = 2*n(u) - 11*r(u). What is p(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 14*p + 1. Let m be i(-1). Let u = -7 - m. Let v(z) = z**2 - 2. Let t(b) = -b**2 + 3. Calculate u*v(w) + 4*t(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let b = -15 + 27. Let j(k) = -b*k + 4*k + 3*k. Calculate z(j(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/4 + 331*v**4\/4 + 26551*v**3\/4 - 138771*v**2\/4 + 49140*v - 21168 = 0. Calculate v.\nAnswer: -168, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 12:35 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -26. Let c be 4 + -2 + n + 11. Solve 7*t - 2*t = c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -38*p - 3. Let x(u) = 76*u + 6. Calculate -7*s(r) - 4*x(r).\nAnswer: -38*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 194694184*r - 4738228160428232.\nAnswer: -2*(r + 48673546)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/(((-12)\/(-3))\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 33 = 3. Let w be d\/12 - -14*(-1)\/(-4). Solve 3*a + 9 = -3*y, 3*y + 13 - w = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 5. Let z be m(7). Let w(b) = -b**3 + 10*b**2 - 10*b + 5. Let l be w(9). Let r be -2 + 1\/(-2)*l. Solve -z*p = -r*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-15)*4\/(4\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7123279219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**5 + 15306407 + n**4 - 15306392 + 14*n + 66*n - 635*n**3 wrt n.\nAnswer: 20*n**3 + 12*n**2 - 3810*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, l: 2, y: 3, r: 1, u: 1}. Give prob of picking 3 y.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14593033 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 305 + -284. What is the remainder when (12\/r)\/(30\/35)*141 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14073.\nAnswer: 3, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 57*i**2 - 11*i + 11. Let j(q) = -19*q**2 + 4*q - 4. Let n be (-2 - (-2 - 3))\/((-248)\/(-32) + -7). What is n*d(c) + 11*j(c)?\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 7*q - 216. What is the lowest common multiple of q and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44 + 14142234?\nAnswer: 14142333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 13 - 0)\/(-1). Solve -c = -2*r - 2*c + k, r + c = 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10589, 42341, 95261, 169349, 264605?\nAnswer: 381029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/200 and -41\/3278.\nAnswer: 327800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, d: 10}. Give prob of picking 2 d.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -12*y**3 + 3. What are the prime factors of x(-2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 78.7715 micrograms?\nAnswer: 0.0787715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Let w = 0.535 - 108.035. Let y = w - -108. What is the biggest value in y, r, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -266*v**3 + 77*v**2 - 77*v - 77. Let h(q) = 7*q**3 - 2*q**2 + 2*q + 2. Let d = 10 + -8. What is d*z(m) + 77*h(m)?\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -42*(-333)\/518\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 112.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 3*x**2 + 4. Suppose 0*w = 3*w + 9. Calculate l(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, t: 3, f: 2, a: 6}. Give prob of picking 1 t and 2 x.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/(-126)*4\/(-14)*12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.9 + 29110?\nAnswer: 29119.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24286?\nAnswer: 2, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 645927974 divided by -2896538\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**4*y + 25956*u**3*y**2 + 333*u**2*y**2 + 102*u*y**2 wrt u.\nAnswer: 48*u*y + 155736*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3\/8 - 3367*g**2 + 350301*g\/8 - 242541\/2 = 0?\nAnswer: -26949, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 519*y - 514*y - 33, -3*y = 5*m + 32 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -26*u**2 - 16*u - 192. Let y(v) = -8*v**2 - 5*v - 64. Calculate -3*p(l) + 10*y(l).\nAnswer: -2*l**2 - 2*l - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34630.\nAnswer: 2, 5, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 6*l. Let c be n(5). Suppose -4*j = -c*j + 5. Sort 4, j, -1 in descending order.\nAnswer: j, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/5 (b) 31 (c) -1 (d) -10 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -557.214 rounded to 0 decimal places?\nAnswer: -557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f - f)*(525 - 833 - 1384*f**2 + 306 - f).\nAnswer: 1384*f**3 + f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 3*q**2 - 3*q**2)*(q - 2*q + 3*q) + (2 - 2 - 2*q)*(3*q**2 - 6*q**2 + 2*q**2).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3) + 1 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r - 57 + 3*r - 223 + 55 - 371*r**2 wrt r.\nAnswer: -742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 19) + 26 + -17 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 545*n + 550*n = 7126, -35525 = -5*m - 4*n. Calculate the greatest common divisor of m and 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111456 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-10) - -2 - (-5)\/25. Suppose -4*l - 18 + 145 = 3*p, -b*l - 169 = -5*p. Let i = p - 193\/5. Is -2 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2183419*p**2 + 1824281*p wrt p?\nAnswer: 4366838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203976419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 4*w**4 - w**3 - 88*w + 4 - 2 + 36*w in the form q + t*w + g*w**3 + f*w**2 + x*w**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 31 = -2*z. Let u = z + -10. Solve -u*n = -2 - 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17304 and -670 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2115834 is divided by 276.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02566002 rounded to six decimal places?\nAnswer: -0.02566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223 divided by 40093.\nAnswer: -223\/40093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21676925 divided by -4\nAnswer: -21676925\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-9 - (1 + 3 - 6) - 6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 100\/30*(-3 + (-36)\/(-10)). Solve -122 = -h*b - 114 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 9. Suppose 0 = -2*k + 3*d - 13, -5*k - d = -3*k + 1. Let u = -0.2 + 0.3. Which is the smallest value? (a) u (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23210 + (1 - (-1)\/1). Let q = 324631\/14 - c. Let v = q + 24. Is 1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 19 = 3*b, 10 = -n + 5*b - b. Suppose -3*t + n*u + 35 = 0, 4*t + u = 9*t - 56. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1816 and 437819440?\nAnswer: 437819440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfl when three letters picked without replacement from ffzllzqllllqqlllzll.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16214, -32511, -48808, -65105?\nAnswer: -81402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1110211 (base 3) to base 15\nAnswer: 4ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148126.3 times 21?\nAnswer: 3110652.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/15172909?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482*d + 273606 = -5895*d for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(-2*sqrt(432)))**2 + (sqrt(72)\/(1*sqrt(12)))\/sqrt(2).\nAnswer: 1\/48 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 1 - 5. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -14*x**3 - 4*x - 1. Let r be z(-2). Calculate the highest common divisor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**4\/24 - p**3\/3 - p**2. Let o be c(2). Let m(g) = -2*g**2 - 2*g + g**2 - 2 + 1 + o. Give m(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27972)\/3626*(-1 + 1\/3). Solve -1\/7*n**2 + 12\/7*n - m = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 287324279836 and 0.2.\nAnswer: 287324279836.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 898635990?\nAnswer: 2695907970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98.539 - 9.151. Let c = 0.093 - -108.907. Let m = c + r. What is m rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3104177839.\nAnswer: 7, 19, 31, 47, 83, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4850 = 66*l + 9010. Which is smaller: -211 or l?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + 14425?\nAnswer: 14521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 16*y + 51. Let k be i(-14). Let a = k + 558. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1128\/14 + (-52)\/91. Calculate the greatest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - i + 77043 - 77010, -37 = -m - 12*i + 13*i for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 23*o**2 + o + 1. Let v be q(2). Suppose 2*x - v = -15. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -0.216, 6\/7, -4?\nAnswer: -0.216","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/256*1384\/1211?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1287.443, 11, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3, -0.01, -0.2, -2, -6178, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + ((sqrt(468) - (1 + sqrt(468) + 1))*-5 - (2*sqrt(468)*1 - (sqrt(468) + -4*sqrt(468)*1 - sqrt(468) - sqrt(468))))) + 0)**2.\nAnswer: -18816*sqrt(13) + 370048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, -4, 27260306, 3.\nAnswer: -4, 2, 3, 10, 27260306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15970.\nAnswer: 2, 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-3*1 - -1). Suppose w = 6*w - 3*m + 13, y*w + 4 = -2*m. Let t = -20 + 20.4. Which is the nearest to 1? (a) 0 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/7 (b) -5 (c) 0.039 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 - 18663504*g + 18663504*g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:55 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23264325.8 + -0.4?\nAnswer: -23264326.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 12 = -4*y + 6*z, -y - 3*z + 5 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4525 + -0.0195. Let x = -0.333 + p. Let r = -276 - -1935\/7. What is the fourth biggest value in 0.4, x, 10, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a hour?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + x - 4 = 0, -2*v + 6*v - 22 = 2*x. Let n be (3 - v)\/(-4) - 14\/16. What is the nearest to -0.9 in 4, -4\/7, -2, n?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/42 - 9\/(-7)*-1. Let i(d) = -d**3 + 4*d**2 - d + 3. Let y be (-5)\/(-1) - 2\/2. Let n be i(y). Which is the closest to n? (a) -2 (b) 3\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28821, -57690, -86559?\n\"Answer: -28869*l + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**6\/45 + 2*c**5\/9 - 17*c**4\/36 + 4*c**3\/9 - 3*c**2 + 14*c. Let g(d) be the first derivative of j(d). Factor g(n).\nAnswer: -2*(n - 4)*(2*n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4 + 3.7. Let p = -0.06171439 - -1.36171467. Let r = p - s. Round r to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25893 smaller than -25894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*g + 15, -2*g + 3*g - 4*u = 12. Solve -3*h + g*k - 13 = -k, -5*h - 4*k + 1 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207342134 and 166.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2345.8*0.57\nAnswer: -1337.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1\/32, 4, -3 in decreasing order.\nAnswer: 7, 4, 1\/32, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38\/69 + 8\/69. Let m(z) = z + 8. Let t be m(-6). What is the closest to o in -3, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 777 + -405. Suppose -2*q + 2702 = -j. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -4)*-1 - -2. Solve -5 = s*a + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 7*o**5\/60 - o**4\/24 - o**3\/6 - 34*o**2. Determine t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -279, -278, -279, -282?\n\"Answer: -c**2 + 4*c - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 17. Is 5 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 275 - -8. What is the tens digit of -6 + (1 - -1) + v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2494491 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 51*y**2 + 50*y + 2. Let z be x(-50). Solve -c + 3 = 5*g - 0, -2*g - 2*c - z = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v. Let n(k) = 1578*k**2. What is s(n(m))?\nAnswer: 4734*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -16 - 12. Let f = -3 + a. Solve -3 - 9 = f*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2.8. What is the closest to g in 1\/5, -5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbfbbbynlff. What is prob of picking 1 l and 1 f?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -524722 * -34\nAnswer: 17840548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 9*r - 1814. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29969153?\nAnswer: 29969153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**4\/6 + 48*l**3 + 560*l**2 + 664*l. Solve u(v) = 0 for v.\nAnswer: -140, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2, 4*k + 3*v - v = 262. What is the remainder when 9 is divided by (-10)\/(-25) - k\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7575959 days in milliseconds?\nAnswer: 65456285.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -314814*h**3 + h**2 - 5*h - 2. Let x = 6 - 9. Let u be (-3)\/(x + 6)*3. Let w be p(u). What is w rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**3\/4 + 183*s**2\/2 + 2115*s\/4 + 783 = 0?\nAnswer: -116, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24642478 by 3520354.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 8 - (13 - 7\/(-42)*-102).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -907 - -1608. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26818 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gglllkjlj. What is prob of sequence lj?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a kilometer in meters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**4 + 53*y**3 + 110*y**2 + 6*y**4 - 11*y**4 wrt y.\nAnswer: -48*y + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**2 + 4*r**5 - 18*r**5 + 4*r**5 - 3*r**2 wrt r.\nAnswer: -600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 1)*(-156*g - 5170 + 5170)*(4 + 1 + 3) to a + m*g and give m.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.03251656 rounded to 1 decimal place?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-12))\/z)\/(z**(-13)*z)*(z\/z**(7\/5))\/z**(-2\/5))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(3*sqrt(396) + sqrt(11)) - ((-3*sqrt(11)*-3)**2 + -2).\nAnswer: -889 + sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/((-5)\/10*-1)*(-9178)\/353?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.848 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.14 + 0.0136. Let i = -2.9 - -2.77. Let l = j - i. What is l rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.002 (b) -5 (c) 300.2 (d) -2\/5 (e) 0.074\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m = -4. Let h(t) = 3*t**2 - 2*t + 3. Let b(a) be the second derivative of -1\/6*a**3 + 0 + 1\/2*a**2 + 15*a + 1\/12*a**4. Determine m*b(x) - h(x).\nAnswer: -2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*d - d + 100, -2*w = -3*d - 100. Suppose 0 = -12*b - w + 134. Solve 0 = 3*q - b + 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubtvvvaavb. Give prob of picking 1 u, 1 t, and 2 a.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17236*x + 34476*x + x**3 - 17231*x - 2 to f*x**3 + t*x + b*x**2 + m and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*n - 5*n + 19, -18 = -2*n + 4*k. Solve 5*o + 5*u + n = 0, 2*u - 24 = 3*o - 2*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 111110101?\nAnswer: 111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -4*c + 755. Let q(f) = 2*f - c + 223. Let i(j) = 3*j**2. Give i(q(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**2 - 6*v**2 + 4*v**2)*(818*v + 275*v + 41*v + 149*v) to the form u*v**3 + o*v**2 + q + a*v and give u.\nAnswer: 2566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -4, 2 in increasing order.\nAnswer: -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 26. Solve -3*w + 9 = -o*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 442338 and 78?\nAnswer: 442338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -658, -16 in descending order.\nAnswer: 5, -16, -658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 22*w - 1. Let x(h) = -h**2 - h + 12. Let u be x(3). Let r be l(u). Which is the third smallest value? (a) 1 (b) r (c) 25 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32022 + -13?\nAnswer: 32003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5740544 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**3 + i**2 - 2*i. Let o be r(2). Suppose 7*q = 4*q + 90. Let l = o - q. What is the remainder when l is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10*6\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7610 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 253*c - 187*c + 35*c.\nAnswer: -404*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21243*z**5 - z + 20620?\nAnswer: -424860*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -110768?\nAnswer: -110768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-30) - 1387\/2847\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/9*3 - (-6)\/9. Solve 9 - z = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -5, 2\/55, 4, 20?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(4\/2) + -56*11\/(-77)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110100010 + 101011111?\nAnswer: -1001001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20\/13 (b) -2\/9 (c) 0.4 (d) 2.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.279? (a) 5 (b) 48 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41915810 - 41915682.313543. Let m = k + -186.686454. Let o = m - -59. What is o rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + h - 1)*((h + 0 + 0)*(-92 + 3*h + 92) - 2*h + h**2 + 2*h + (-2 + 2 + 1)*(-43*h**2 - 9 + 9)).\nAnswer: -39*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -48. Is 2 a factor of (-2)\/10 + l\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298079352 a multiple of 1893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*-2*sqrt(171) - sqrt(171))\/(5*2*sqrt(9))*4.\nAnswer: -36*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 305, 1, 0, 2677 in decreasing order.\nAnswer: 2677, 305, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10 + 7 - 1 + 2*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = -63*h - 1302 - 167 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 9605804.\nAnswer: 28817412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*v**4 - 9*v**2 + 0*v**4 - 2*v**6 + 14*v**2 wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/28)\/(8\/(-32))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372 and 153636?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j**2 - 17*j + 58. Calculate m(0).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/447 and -35\/591.\nAnswer: 88059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 divided by -179871.\nAnswer: -31\/59957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*u - 8, -2*u = 2*u - 20. Suppose b - o = 19. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -450*f - 1. Let m(q) = 675*q + 2. Let x(j) = -8*c(j) - 5*m(j). Let u be x(1). Suppose -3*g = 70 - u. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-7)\/112*4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 33.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 361 - -29. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220 - -22110001?\nAnswer: 22110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 336479051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13216712?\nAnswer: 2, 1652089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**2 - 8*h**2 - h**2 - 12*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1739180 divided by -5\nAnswer: 347836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16 + 11 - (-2318)\/4)*1100\/75 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35992 times -0.05\nAnswer: 1799.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5411?\nAnswer: 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let y(i) = 6*i - 30. What is w(y(m))?\nAnswer: -6*m + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:22 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l + 62120. Let o = l - 372643\/30. Calculate the common denominator of 67\/16 and o.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*21318.\nAnswer: 10659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-51)\/9 + 4\/6. Let u be (-1)\/(((-15)\/(-6))\/l). Factor 7 - 10 + 3*d**3 - 13*d**u + 4*d**2 + 9*d.\nAnswer: 3*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 29*o + 10 = -24*o, -2*o + 15 = w. Solve w*u + 61 = 4*i + 20, 0 = 4*i - 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -334024224 (base 5) in base 6?\nAnswer: -51304100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 674254.3 micrograms in milligrams?\nAnswer: 674.2543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 0.76, -1 in increasing order.\nAnswer: -1, 0.76, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 50. Let h = k + -35. Suppose 3 = h*c - 2*c. Which is smaller: 1\/5 or c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18292 + 18316. Solve -10 + f = -5*q - 2*d, -3*d = -2*q - 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98*((-297)\/(-6))\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83145 by 16629.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30418?\nAnswer: 2, 67, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3811 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 234 - 379 - 317. Let o be ((-154)\/35)\/(2\/(-10)). What is the highest common divisor of s and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 + 123. Let g(k) = 688*k**2 + k + 2. Is g(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39805 - 11981328\/301. Let d = a - 13501\/4515. Calculate the common denominator of d and (116\/(-210))\/((-3)\/15).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149714\/21819 - 14\/3117. Find t, given that 20\/7*t**3 + i*t**2 - 20\/7*t + 2\/7*t**4 - 50\/7 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19344194, -19344192, -19344190?\nAnswer: -19344188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -21 + 40 - 19 - 15*f**2. Let x(h) = 8*h**2. Determine b(x(c)).\nAnswer: -960*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11637281 a multiple of 659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 + -12?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 + 130 + 60*g**2 + 141 - 409 + 8*g**2.\nAnswer: 68*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**4\/11 - 168*s**3\/11 - 1764*s**2\/11 - 8232*s\/11 - 14406\/11.\nAnswer: -6*(s + 7)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28*-799136.\nAnswer: -223758.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 9. Which is the biggest value? (a) 6 (b) -2\/17 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*n + 135. Let t = 69811 + -69782. Solve 2*f + t = n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n**3\/7 - 1942*n**2\/7 - 19410*n - 2410236\/7 = 0. Calculate n.\nAnswer: -519\/4, -86, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6740065*l**2 - 8155882*l wrt l.\nAnswer: -13480130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1571*m - 88. Let i(z) = 785*z - 43. Let d(n) = -13*i(n) + 6*u(n). Let h be d(-10). Is ((-8)\/12)\/(((-24)\/h)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9))**(-13) assuming b is positive.\nAnswer: b**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/(-279))\/((-4)\/(-6))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alq when three letters picked without replacement from leapq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41561 and 46345.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 - 9 - (3 + 5) - (20 - 19).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzxxgzglzxzxzzxglgz. Give prob of sequence gglz.\nAnswer: 35\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, k: 1, o: 1, g: 4, l: 2}. What is prob of sequence ddl?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.1. Let k = -685 + 684. What is the nearest to u in k, -2, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82124042 and 7112?\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**3 + 13*u**2 - 21*u + 24. Let n(p) = 7*p**3 - 12*p**2 + 23*p - 23. Let z(w) = 4*a(w) + 3*n(w). What is z(-17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*o = -25, -3*k - o - 5 = 3*o. Let n = 3 + -4. Suppose 0 = -161*v + 77*v + 84. Sort -9, v, n, k in descending order.\nAnswer: k, v, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 6:05 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6209 or 6253?\nAnswer: 6253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -79*3\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133*h**2*y**3 - 2*h**2*y**2 + 19*h*y**3 + 2*h*y - 5*y**3 wrt h.\nAnswer: -266*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -307 (base 8) to base 6\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 12693, 44 in decreasing order.\nAnswer: 12693, 44, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3\/8))**(1\/50))**(3\/28))**27 assuming i is positive.\nAnswer: i**(-243\/11200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 20 = 3*v, -2*v = -7*c + 3*c + 40. Calculate the least common multiple of 7 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o + 3. Let m be s(-7). Suppose 5*u - m = -4*r - 5, 2*r - 51 = -5*u. What is the remainder when 40 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhk. What is prob of sequence hhhk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141323652 by 230921.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 40 - 4. Let j be (-8)\/z - 1\/(-1). Let t be -1*(-7)\/((-140)\/15). Which is the second smallest value? (a) -1 (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.02, -0.4, -5, -2, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/522 and 77\/234.\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.3 + 10. What is the closest to -0.1 in 5, 1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -85, -49, 3, 77, 179, 315, 491, 713?\n\"Answer: q**3 + 2*q**2 + 23*q - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151\/528 + -25\/528. Put -5, v, -38, 0.3, 4 in increasing order.\nAnswer: -38, -5, v, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 24, -0.5, 117\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4106321 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -8580 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*o + 15, 0 = 4*b - 5*b - o. Suppose 3*u - 2*u + 624 = b*g, -3*g + 3*u = -384. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-two fifths of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*y + 3*h, 3*y - 128 = h - 119 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3631 or -3069?\nAnswer: -3631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.347 + 9.347. Which is the fifth biggest value? (a) -0.2 (b) -1\/7 (c) 1\/5 (d) g (e) 104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25641 divided by -333\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -54 - (-3 + -13)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.6802361 rounded to one dp?\nAnswer: -47.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b**2. Let y(v) = -7*v**2 - 6*v. Let t(w) = -4*w + 2. Let h be t(2). Let m(a) = -6*a**2 - 5*a. Let q(o) = h*m(o) + 5*y(o). What is q(j(x))?\nAnswer: 64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than -118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1088 - 1084. Solve -n = -4*q - 8, -5 - 6 = -5*q - c*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6*d + 7*d + 157 = 0, -118 = -2*z + 4*d. Suppose -z*m + 12504 = -27*m. List the prime factors of m.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + 0*d)*(0*d**2 - d**2 + 2*d**2) - 222*d - 51*d**3 + 222*d + 0*d**3 - 8*d**3 - d**3.\nAnswer: -62*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -9 (b) -1 (c) 6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 600*t**2 + 602*t**2 + 4*t - 1211*t**2 + 3*t to the form c + p*t + k*t**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 - 107. Put -1\/3, f, 0.07 in descending order.\nAnswer: 0.07, f, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 31*u**2\/2 + 4*u - 1. Does 22 divide j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 31, 3\/5, 3, 0.119, 2\/49?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14705 - -14700. Sort -13, 4, v, 20, 2.\nAnswer: -13, v, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 7*o - 7. Let g be n(-3). Suppose -3*m = m - g*c - 40, -3*c + 72 = 4*m. What is the remainder when 56 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + x**2 + 0*x**2 + (-2*x**2 + 0 + 0)*(1 + 1 + 4) - 3*x**2 + 1 - 1 + (-10 - 17 - 8)*(-4*x**2 + 3*x**2 + 0*x**2) + 3*x - 3*x - x**2.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/51 and (-67165)\/(-7182)*(9\/(-12))\/((-5)\/2)?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 10*q + 8. Let t be a(-8). Let s(g) = g**3 + 9*g**2 + 7*g + 3. Let p be s(t). Calculate the highest common factor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2224972224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 28255 = 6*v. Let t = v + 69. Round t to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odo when three letters picked without replacement from oqxdo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 7. Give y(13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3 + 0 - m as l*m + c and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+84647322207384\nAnswer: 84647322207384.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -116) + 26 - ((21 - 21) + -21).\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**5\/20 + v**4\/6 - v**3\/6 + 3*v**2\/2 - 3*v. Let u = -1 - 2. Let r be w(u). Sort 2, -2, r in ascending order.\nAnswer: r, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1785 + -1781. Sort 5, 27, p, 1 in ascending order.\nAnswer: 1, p, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 4, 4\/5, -1, 28, 222?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 5*k**2 - 4*k + 3. Let t be (52\/91)\/((-2)\/(-7)). Suppose -4*x = t*h + 12, 3*h = -3*x - 12 - 3. Give l(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9*n - 120 = 0. Suppose -4*v - 2*m = 91628, 4 = m + 8. Let j be v\/(-270) + (-5)\/6. What is the greatest common factor of j and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*l + 2*r, l - 4*r - 18 = -l. Suppose 0*a = l*a. Suppose -2*v - 376 = -6*v - 5*y, 2*v + y - 188 = a. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1372 and 62668844?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6126*u + 11020. List the prime factors of w(12).\nAnswer: 2, 7, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1265.1686 - -1265. Let q = 0.0686 + r. What is the closest to q in -5, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-six fifths of a meter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -432.\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w - 4. Let z(i) = -4*i - 5. Let l(a) be the first derivative of -2*a**3 + 1\/4*a**4 + 9*a + 3 - 9\/2*a**2. Let d be l(7). Determine d*s(p) + 4*z(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4413632?\nAnswer: 2, 68963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 0.3 (c) 94\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5}. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 + 0)*80\/15. Let q be (-16)\/l + 7\/3. Let t(b) = 18*b**2 - 6*b + 7. What are the prime factors of t(q)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 3*c + 9. Let q be c*4\/3 - 3. Let d = q - 1. Are d and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 7*a - 1. Calculate s(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 1:40 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2431 - -561?\nAnswer: 2992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by 370677.\nAnswer: -52\/370677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(-40))\/((-190)\/(-1900))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-540)\/100 - 16\/200*20.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2920731470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1630 + 1639. Sort t, -1\/5, 5 in descending order.\nAnswer: t, 5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30004 and 468.\nAnswer: 270036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1310 divided by -4.\nAnswer: -655\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -5, 3, -1700, 9, -6.\nAnswer: -1700, -6, -5, 2, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1129.5558 months?\nAnswer: 9.412965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.58048411 - -2\nAnswer: -0.58048411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggc when three letters picked without replacement from gccgcgggcgcccgcgcggc?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-12))\/(2\/(-4)). Let q be (v - -1 - 2)\/2. Suppose -5*g - 3*g + 512 = q. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422531 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-42))\/(0 - 1). Let o = 2 - 5. Let q = o - -8. Which is the second smallest value? (a) q (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-70))\/(2\/14))\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*921880\nAnswer: 368752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 2. Let x be a(8). Let g be (-6)\/x - (-14)\/10. Solve w - 12 = -w + 4*i, -5*w - g*i = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4029, -8056, -12083, -16110, -20137?\n\"Answer: -4027*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-11*(-8)\/16. Solve -q = 4*t - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/53 (c) 1 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 (base 8) in base 7?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1230 and 480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013993624 rounded to 6 dps?\nAnswer: -0.001399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 3*x + 7. Suppose 25*v = 32*v + 42. Calculate the remainder when (-3)\/(v\/125)*(-56)\/(-35) is divided by d(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 63*q + 305 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*i + 60 = 0, x + i - 30 = -x. Suppose -3*y = -12 - x. Calculate the greatest common divisor of y and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**2 - w**2 - w**2)*(109 + 103 - 166*w + 497*w - 216) to the form v + p*w**3 + i*w**2 + g*w and give p.\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-5 + -14 + 34)) + -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36372264 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 208.853 centuries?\nAnswer: 20.8853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -1\/840*c**7 + 3*c**2 - 1\/40*c**5 + 1\/120*c**6 + 1\/24*c**4 + 0 - 1\/24*c**3 + 0*c. Factor p(z).\nAnswer: -(z - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10705*r - 37698 = 10087*r for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*s**2 - 31*s**2 - 2*s**2 - s**2.\nAnswer: -91*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 21 - 340*i - 13 + 9 + 10 + 341*i. Let w(z) = -3*z - 2. Let f be w(7). Let g be x(f). Is g smaller than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -2*i**3\/3 - 1009. Let a(y) = 17*y - 9. Determine a(r(l)).\nAnswer: -34*l**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 186*l**2 - 42*l + 11972. Give a(186).\nAnswer: 4160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*f - 1. Suppose m + f = 6. Put m, -5, 2 in decreasing order.\nAnswer: m, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 8*a**2 - 6*a - 1. Let o = 44 + -50. Let b be z(o). Let l = b + 39. Solve -l*u + 0*u - 6 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 205150.\nAnswer: 2872100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b**3 - 24*b**3 + 2*b**3)*(2*b + 2*b - 2*b) - 5*b**4 + 10*b**4 + 5*b**4 as s*b**2 + d + t*b**4 + w*b**3 + k*b and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0441 + -45.3441. Let m = 45 + c. Sort 0.5, -2, m in increasing order.\nAnswer: -2, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220232 - 1300?\nAnswer: -222132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.568, -451, -0.01?\nAnswer: -0.568","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128873252 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-36) + 3\/6. Let o be (-3)\/6 - 543\/(-78). Let q = o - 1622\/247. What is the second biggest value in -0.5, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 + 78. Put 13, 2, t in descending order.\nAnswer: 13, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*d = 301*d + 397*d - 12716 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -30\/37, 4, -0.5, -5 in increasing order.\nAnswer: -5, -30\/37, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235*-1189.\nAnswer: -279415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1)*(-10)\/(-20)*-2)\/(13062\/311)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blb when three letters picked without replacement from bxlbosb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 37562391 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - (-212)\/8)*48\/10. Let y = -81 + x. Calculate the highest common divisor of y and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1157.\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64022208 divided by -1333796.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c79 + -5?\nAnswer: -2c80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -38*b + 53. Give s(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8877798?\nAnswer: 2, 3, 493211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**5*s**2 + 75224*a**3*s**3 + 12*a*s + 2940*s**3 wrt a.\nAnswer: -40*a**3*s**2 + 451344*a*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -804367100 rounded to the nearest 1000000?\nAnswer: -804000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -22) + 82 + (-15 - 4 - -15)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppc when three letters picked without replacement from pcppppppppcpppppppp.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 203512\/39 + -5220. Find the common denominator of v and 65\/8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - p - 7*p**2 + 2 - 4 + 9 + 0*p. Let m be n(7). Let x be -2*1*(-2)\/(-10). Is x less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 25 = 5*g, g + 0*y - 2 = -2*y. Suppose 3*h - 25 = g*h. Let d = -0.9 - -0.4. What is the nearest to 0 in d, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23524 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2922799ml in litres?\nAnswer: 0.0002922799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 199*f + 11*f**2 - 199*f. Let q(v) = -v. Determine q(h(z)).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 17 - (-4 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**4\/4 + 2*b**3\/3 - b + 8. Let o be w(-1). Solve -4*x - o*p - 1 - 1 = 0, 4*x = -p + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/15)\/((-20)\/2486580) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 10)\/((444\/110 + -4)\/((-160)\/200))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 16 + 1)*(4*c - 2*c + 0*c)*(1 - 5 + 2) to the form m*c + n and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2179, -3469, -3883, -3421, -2083, 131?\n\"Answer: 438*v**2 - 2604*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(133)*2)\/sqrt(7) - sqrt(209)\/(sqrt(99) + sqrt(99)*1 - sqrt(11)).\nAnswer: -41*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y - 29*y = 714. Suppose y*d + 3560 = 47063. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(18\/7))\/((-48)\/(-384))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.4, 5, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -651\/10 in -5, 0, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 290*p**4*q - 234971*p**3*q - 5*p**2*q + 5*p**2 - 69*p*q + 6*p + 4*q + 20 wrt p.\nAnswer: 6960*p*q - 1409826*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - 5*t**4 + 5*t**4 + (t - t + t)*(-2*t**3 - 3*t**3 + 6*t**3).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/2, -0.1, -0.3, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*v + 153*v = -36 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-18) + 203\/63. Let c(p) = -p**3 - 4*p**r + 0*p**3. Give c(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010842891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 114 - 63. Let z = 82 + n. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1281*b*d - 3620*b - 9636*d + 823 with respect to b.\nAnswer: 1281*d - 3620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(400)\/(sqrt(10)*-1))\/sqrt(8)*-5.\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*u**2 - 1\/3*u + 0 = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - 0.08. Let f = -0.5 + 0.2. Sort -2, n, f.\nAnswer: -2, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -262.\nAnswer: 3\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, k: 6}. Give prob of sequence wwkk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5 = 5*y - 3*y, 2*z + 5*y = -11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 11. Suppose d + 2 = l. Suppose 0 = -d*w + 27 - 117. What is the common denominator of -7\/3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*a = 336*a + 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*2773\nAnswer: 831.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2 - 330*n - 325 = 0.\nAnswer: -65, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.069 - -0.158. What is y rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, 2, -5, -1, 5, -4201 in increasing order.\nAnswer: -4201, -9, -5, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r. Let w(x) = -8*x + 0*x + 2*x - 8 + 8*x. Calculate q(w(l)).\nAnswer: 4*l - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 103. Let w = -54 - b. Suppose -w*r - 5 = 5*h, h + 21 = -2*r - 3*r. Solve -2*v - v - h*p + 14 = 0, -p + 6 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2794 greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 22*n**2\/9 + 404*n\/9 + 880\/9.\nAnswer: -2*(n - 11)*(n + 2)*(n + 20)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*d**3*t**3 - 505*d**3 + 49*d*t**4 - 2*d*t**2 wrt t.\nAnswer: 516*d**3 + 1176*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 31713?\nAnswer: 126852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 10*m**2 - 3*m - 19. Determine t(9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221102021 (base 3) in base 2?\nAnswer: -1001010101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334381.\nAnswer: 19, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 16515*k**2 + 197640*k + 592380.\nAnswer: 5*(k + 6)**2*(k + 3291)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l + 25 = -23*l. Solve 5*k - l + 15 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 20648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + sqrt(147)*-1 + 0 + 5 + -3.\nAnswer: -7*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 31 = -9*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.673068 (b) 2 (c) -4\/9 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 109130?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + 98. Suppose 0 = -5*p + 2*p + q. Let c(m) = 7*m**2 - p*m + 49*m. Let v(t) = 2*t. What is c(v(a))?\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 229751230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*t + 8528 = -85*t + 278 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98*y + 1403 - 1403)*(-20*y**3 + 110*y - 110*y).\nAnswer: 1960*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + 2 + 2 - (88 + -78 - (3 - -12))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394112229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - h**4 + (-3*h**3 + h**2 - h**2)*(2*h - 2*h + h) + 6*h - 6*h + 10*h**4 in the form p*h**4 + u*h**3 + j*h + d + v*h**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14584?\nAnswer: 2, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 2:41 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63544186 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/(-575))\/((-2)\/5)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1121860621 to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - -2 - (22\/16)\/(2\/(-16))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16820 and 5945.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4003 divided by 4003\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 + 670*o\/3.\nAnswer: 2*o*(o + 1005)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 34*o**2 + 38*o + 25. Let n be s(-18). Let w(g) = -2*g**2 - 2*g + 7. Let x = 16 - 22. Let k(t) = t**2 + t - 4. Determine n*k(q) + x*w(q).\nAnswer: q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21d + 0?\nAnswer: -21d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 254*h**4 + 91*h**4 + 151*h**4 - 1011*h**3 + 1011*h**3 + (-2 + 2 - 2)*(2*h**4 + h - h) to y*h**3 + k + n*h**4 + v*h + r*h**2 and give n.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b + 0*b**2 + 0 + 0*b**4 + 3\/2*b**3 - 1\/15*b**5. Let f(t) be the second derivative of n(t). Determine f(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179756 is divided by 17959?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 + 1 = 0. Let k be (-1 - -1)\/(1 + r). Find the first derivative of -v**2 + 0*v**2 + 2 + k*v**2 wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (-7 + 13 - -18)) + (1 - 10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309866 - 120434 = -5767*h + 149549 - 31984 for h.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4598369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(72)*2)\/sqrt(108))\/(3*sqrt(64)\/(sqrt(200)*4 - sqrt(8))) + -1)**2.\nAnswer: 76*sqrt(3)\/9 + 1471\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-80)*45\/(-27)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*n - 2 - 21, -2*n + 11 = 3*p. Calculate the greatest common divisor of p and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8505 - -1.0505. Let x = 8.82 - -0.18. What is the second biggest value in x, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) 0 (c) -0.3 (d) 3\/28 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 9:55 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 40. Put v, 0.054, 0.3 in decreasing order.\nAnswer: v, 0.3, 0.054","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000092019193 rounded to 7 decimal places?\nAnswer: -0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(153) + sqrt(153)*-2))\/sqrt(9) - 6*(sqrt(153)*2)**2.\nAnswer: -3672 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -131\/12 in -47, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -226\/193?\nAnswer: -226\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m + 41. Calculate w(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5843 - 3.4157. What is the second smallest value in 4, -28, d, 0.1, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3937980 rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 2*j + j**2 + 0*j)*(2*j**2 - 3*j**3 - 2*j**2)*(7 - 10 - 12)*(1 + 2 + 0).\nAnswer: 135*j**5 + 675*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 17*m - 90. Let r(c) = c**2 - 5*c - 16. Determine r(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(170)*-6 - 2*sqrt(170)*-1)\/((3*(sqrt(120) + 2*sqrt(120) + sqrt(120) - sqrt(120) - sqrt(120) - sqrt(120)) + sqrt(120))\/(sqrt(432)*1)))**2.\nAnswer: 34425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26308 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a micrometer in nanometers?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 4. Let r = 27 - 29. Calculate the least common multiple of 2 - (-2 - -2) - (r + -18) and c(6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10006 a factor of 951931289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94397 + 94354.023. Let v = 43 + j. Let i = v - 0.023093. What is i rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-3 + 3)**2 + -4 + (-1*sqrt(1728) + sqrt(1728) + sqrt(1728))\/(sqrt(576)*1).\nAnswer: -143*sqrt(3) + 1733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/189*(2\/3)\/(8\/(-6))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 432869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 + 109.6. Let m = 2185 - 2180. What is the nearest to 0.2 in m, 3, i, -11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*i**4 - 4*i**3 + 30*i + 4.\nAnswer: -1248*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/80*-6)\/(234\/208).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -15.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 357 and 70.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (90\/63)\/((-6)\/(-21)). Which is the nearest to 2\/3? (a) 0.3 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w - 24. Let g(l) = 4. Let r(y) = 5*g(y) + u(y). Let a(s) = s - 1. Suppose -t + 5 + 0 = 0. Let p be (-2)\/3*(11 - t). What is p*a(h) + r(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/421 - -5067\/2105. Factor -2\/5*o**4 - 24\/5*o**2 + z*o**3 + 0 + 16\/5*o.\nAnswer: -2*o*(o - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28\/42*20037\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134 - -136) + (-10 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**2*x**3 - k**2*x**2 - 76401*k**2*x + 2*k*x**3 + 5617*x**3 wrt x.\nAnswer: 24*k**2 + 12*k + 33702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4+708093505\nAnswer: 708093501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4515240 and 1440.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -81 + -50 + 212?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428309?\nAnswer: 7, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-25)*p\/(p**26\/p)*((p\/p**(-4))\/p)\/p**(2\/133))**(4\/11) assuming p is positive.\nAnswer: p**(-23948\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3.5. Let g(s) = s**2 - 15*s + 21. Let d be g(14). Let k = d - 11. Which is the closest to 0.2? (a) k (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 3:12 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.58925 to 1 dp.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 1, -0.3, 1\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4962624 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6157 - -87734?\nAnswer: 81566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 2*d - 12, -4*d = -3*y. Sort -13, y, 5 in increasing order.\nAnswer: -13, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.1. Let o = 25.8 - 26. Which is the third smallest value? (a) n (b) o (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*1\/(-2))\/((-52)\/(-104)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.61738591 to 2 dps.\nAnswer: 14.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 3:57 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-7 - (-7 - -4)) + -7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 6*n = -20. Let a be (n\/(-6))\/((-70)\/84). Solve -a*s + 14 = -5*z, 5*z + 1 = -2*s - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 20 = 2*t. Suppose t*o - 2*a - 18 = 0, -3*a = 2*o + 3*o + 5. Calculate the greatest common factor of 8 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1072 - -4329\/4. Calculate the common denominator of c and -47\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 19 = -2*t - 3*t, 4*t = 12. Suppose -4*n - 4*l + 119 = -349, -2*l + 472 = y*n. What are the prime factors of n?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*r - 17, -r - 1 = 2. Let a be 9\/18*s*1. Let q be (-185)\/1110*-1*(-2)\/(-1). What is the closest to 2\/7 in -2\/5, q, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19774 and 18?\nAnswer: 177966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5074424.\nAnswer: 2, 89, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -89*p**2 - 6*p + 5. Let q(l) = -l**2 - l + 1. Calculate -5*q(x) + w(x).\nAnswer: -84*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, f: 7}. What is prob of sequence ffx?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/274 and -105\/34?\nAnswer: 4658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 546 + -270. Suppose 0*t - a = -t + 69, -l = -4*t - 2*a. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13467 is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 + (-5 - -8) + -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 94231 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*p + 27 = 0, 5*b - 21*p = -24*p + 27 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*z + 216, -4*a = -z + 80 + 46. Let r = 151 - z. Let k = 96 - r. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*613879.\nAnswer: 184163.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27849*f**4*j**3 + f**2*j**3 + 13*f**2 - f*j + 15*j**3 wrt f.\nAnswer: 668376*f*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 44 (b) -0.09 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5754 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {f: 1, k: 1, p: 1, q: 1, d: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 6*k = 2*d - 184, -4*d - 4*k = -392. What is the lowest common multiple of 36 and d?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7591653 to the power of 1\/2, to the nearest integer?\nAnswer: 2755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1163 = -168*q + 188 + 329 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*l**5 - 195*l**4 - 255*l**3 - 145*l**2 - 30*l = 0.\nAnswer: -1, -6\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*a, -4*n + 2*a + 116 = -2*a. Suppose 3717 = n*w - 24*w. Calculate the remainder when w is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3926, 15631, 35140, 62471, 97642, 140671, 191576, 250375?\nAnswer: 317086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -196 - -214. Calculate the lowest common multiple of c and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, -5, -1791 in descending order.\nAnswer: -2, -5, -9, -1791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -339, -742, -1295, -1992, -2827, -3794?\nAnswer: -4887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, c: 4}. What is prob of sequence ccvc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + (-35 - -1) + 3\/(-2)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521309169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35865 - -74295. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5*57.4\nAnswer: -143.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -16*c**2 + 2*c - 1. What is o(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - -5. Calculate the remainder when 21 is divided by k\/5 + 1*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6268 - 6274. Which is the biggest value? (a) -4 (b) -0.2 (c) 0.62 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 254*z**3 - 26*z**2 + 141*z - 29. What is the tens digit of m(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2. Let l(j) = -j**2 - 3*j - 9. Let b(v) be the third derivative of v**5\/60 + v**4\/24 - 2*v**2. Let z(g) = 3*b(g) + l(g). Determine z(u(c)).\nAnswer: 2*c**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15705059, 15704940, 15704617, 15703988, 15702951?\n\"Answer: -17*y**3 + 15705076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 1 v when three letters picked without replacement from {v: 8, r: 1, z: 2, a: 2, m: 5}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191520057*v**4 + v**2 + 46916930*v wrt v?\nAnswer: 4596481368*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -404*m - 20 + 404*m + m**2 to the form c + q*m + x*m**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.97 + 0.03. Let z = -6.4 + w. Which is the second biggest value? (a) z (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 12\/9)*6. Let p be 12\/z*(-16)\/6. Suppose 9\/2*q**3 - 3\/2*q**2 + 2 - p*q = 0. Calculate q.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -20. Let h = -2813.8 - -2813.9. What is the nearest to 1 in -5, h, y, -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3032997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-4)*s)\/s*s)\/(s**(3\/5)\/s*s)*s\/s**0*s*((s**(2\/13)*s)\/s)\/s assuming s is positive.\nAnswer: s**(-94\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjejeejjjejjjje. What is prob of sequence jeee?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12491 - 12411. What is the remainder when 3599 is divided by p?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 + 2\/2)*1. Let w = 21 + p. Calculate the greatest common factor of 18 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {l: 7, k: 4, e: 1, x: 2, c: 4}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - 4*s**5 + 2*s**5 + (-190*s**2 + 190*s**2 - 13*s**4)*(s + 2 - 2).\nAnswer: -14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1419 + -1410. Solve 63 = 12*z + x*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**2 + 15773900*j + 12440796060500 = 0.\nAnswer: -1577390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p**3 + 24*p**2 - 20*p + 36. What is l(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/20 and 53\/(-22) + (-28)\/(-154).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3270)\/20*(-300)\/(-450).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 2302662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14 (b) -0.3 (c) 2\/13 (d) 56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j. Let k(m) = 9*m - 7*m + 30*m. Give r(k(t)).\nAnswer: 224*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 8*j + 4. Let s = -4 + -4. Let y be b(s). Suppose -y*f + f = 0. Solve -2*v - 4 = f, d - v - 3*v = 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -v + 5, -3*v = v + 4*u - 44. Suppose 2*g - v = -3. Calculate the lowest common multiple of g and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d. Let m = -4 - -3. Let z(x) = 33*x + 1. Let r(q) = m*z(q) + 5*f(q). Is r(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 7. Let y(g) = g + 31. Is y(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b**6 - 8*b**5 + 14935*b**3 - 256973*b**2 - 210?\nAnswer: -960*b**3 - 480*b**2 + 89610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27692, -5\/2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-42)*(-228)\/627*(-6)\/5.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)\/(sqrt(12) + sqrt(768)*-1))\/(((sqrt(9) - (3*sqrt(729) - sqrt(729))) + sqrt(9))*4).\nAnswer: sqrt(3)\/448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 8*q**7\/7 + 2*q**5\/5 + 26*q**3\/3 + q**2\/2 + 61. What is the third derivative of n(j) wrt j?\nAnswer: 960*j**3 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.625671 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12494014495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2\/419, 33856?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 + 222*l\/7 + 452\/7.\nAnswer: -2*(l - 113)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6*z - 1 + 7 - 4.\nAnswer: -6*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l + 27. Let v(z) = -z + 3. Let f(h) = -2*g(h) + 18*v(h). Let y(p) = -37*p**2 - p**2 + 17*p**2 - 25*p**2. Determine y(f(r)).\nAnswer: -184*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {r: 4, k: 4, f: 2, e: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192 - -139. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/5 + 1174*j**3\/5 + 2351*j**2\/5 + 1176*j\/5.\nAnswer: -j*(j - 1176)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120 - -10002021?\nAnswer: 10000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4302356179 and -18.65.\nAnswer: 4302356160.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p + 18933. Let x(f) = -22*f + 28400. Calculate 14*l(c) - 9*x(c).\nAnswer: 2*c + 9462","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 2. Let a be u(-2). What is the nearest to 1\/11 in 5.5, 3\/7, a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4036 + -4035.999998103. Round y to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 8*c**2 - 6*c - 6. Let x be b(7). Is -104 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4 + 3396*w**3 + 6781*w**2 + 4236*w + 847 = 0. What is w?\nAnswer: -847, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 321297 or 321303?\nAnswer: 321303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 0 - 4 + 55. Let r be v(0). Suppose -4 = -z + r. What is the greatest common factor of z and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 64\/(-36) - (-43)\/(-9). Let k(n) = -2*n**2 + 5*n + 6. Let o(b) = b + 1. Determine m*o(h) + k(h).\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 393 - 393. Suppose s - 1278 + 389 = j. List the prime factors of s.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.775712 decades in months?\nAnswer: 93.08544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 less than -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 4*q - 3. Let m be u(-5). Factor 18*l**4 - 5*l**5 - 3*l**4 + 0*l**m - 15*l**3 + 3*l**2 + 2*l**2.\nAnswer: -5*l**2*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2*c - 12*m = -4*m - 13*m + 6, 0 = -2*c + m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 + 1 - 1 + (-5*i + 5*i + 2*i**2)*(-28*i - 1161 + 1161) + 0*i**3 + i**3 + 0*i**3.\nAnswer: -53*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 + -81. Suppose -3*w + 341 = 3*f - 262, -3*f = -z*w - 621. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2727*w - 689*w - 685*w - 677*w - 687*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6611320?\nAnswer: 2, 5, 197, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*o - 7*o - 8, 2*n - 14 = 5*o. What are the prime factors of 7\/14*n*34?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -416 = -1367549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(3\/5)\/a*a\/((a**(-1\/11)\/a)\/a)*a*a*(a*a**20)\/(a**4*a) assuming a is positive.\nAnswer: a**(1193\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*g - 3*i, -5*g = i - 8 - 12. Let x = 5 - g. Solve x = -d - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 130533081\/21 - (-6 + 1). Suppose t = 4*y + 28655866. Round y to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x + 11*x = 1638 - 787 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*a + 77. Let v = 18 + a. Find s, given that 2*s - 7*s**2 - 2*s + 6 + s**3 + 3*s**4 - s**5 - v = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 910 + -863. What is the highest common divisor of p and 611?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 14*j**2. Let d(y) be the second derivative of y**4\/6 - 823*y. Determine i(d(m)).\nAnswer: 56*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3519)\/483 - 2\/2*-7. Sort 113, n, -1\/7, 0.2 in descending order.\nAnswer: 113, 0.2, -1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(99 + -80 - 21).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12578800 and 5900?\nAnswer: 12578800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009528 rounded to 7 dps?\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-6 + 18 + -22 - (0 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 128 = -43*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 2b8629?\nAnswer: -2b8620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 18 - 18. Let f = 10 + h. Which is the second biggest value? (a) 0.2 (b) -1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*s - 15756, 3*n + 7876 = n - s. Let x = -2244 - n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 0) + -4 - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -34 (b) 0 (c) -2\/11 (d) 0.47 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 2, v: 10}. What is prob of picking 1 v and 1 j?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*c + 2. Suppose -4 - 2 = -c*y. Let f(z) = -4*z - 3*z**3 + 2*z**3 + 0*z + 4*z**2. What is f(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Let z(h) = -7*h**2 + 5*h - 2. Suppose 0 = -3*b - 4*d - 758, 0 = -5*b + 2*d + 162 - 1382. Let v = 247 + b. What is v*z(c) - 5*r(c)?\nAnswer: -7*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 250*u - 255.\nAnswer: 5*(u - 1)*(u + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o = -46. Let m(d) = 13*d - 106. Let j be m(15). Suppose -5*w - j = -664. Calculate the greatest common factor of w and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188 - d**4 - 3*d + 2*d**2 - 2*d**3 + 188 to the form o*d**4 + f + a*d + j*d**3 + u*d**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d - 2*d - 2*d. Let s(m) be the third derivative of m**5\/15 - 22*m**2. What is o(s(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2. Let s(m) = -4691*m - 12. Let z(k) = 1175*k + 3. Let b(g) = -5*s(g) - 21*z(g). What is j(b(o))?\nAnswer: -1488400*o**2 - 7320*o - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -988 - -1304. What is the remainder when q is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 300*x**5 - 31*x**3 - 132738*x**2.\nAnswer: 18000*x**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o - 22693 - 10*o - 32*o**2 + 31*o**2 - 3487.\nAnswer: -o**2 - 26180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -227, -217, -207?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + f)*(2 - 2 + f) + 5*f**2 + 2*f**2 - 5*f**2 - 1 + 82*f**2 - 61*f**2 + 30*f**2 to the form g*f + q + n*f**2 and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t - 7*t - 6*t - 3*t**2 + t**3 to j*t**3 + y*t**2 + c + a*t and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9*o + 13. Let m be -8*(11 + (-300)\/24). Let g(w) = 1. Let j(p) = 22*p - 33. Let x(l) = -g(l) - j(l). Determine m*s(t) - 5*x(t).\nAnswer: 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -448053037356 - -689?\nAnswer: -448053036667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**4\/12 - 4*m**3 - 85*m**2\/2 + 99*m. Let s be w(27). Let o(b) = -b - 7. Calculate o(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 502 + -498. Suppose -10 = -4*u + 2*w, -2*w + w - 5 = 2*u. Solve -3*i + 3 = -n*m, -4*i + 5*m + 3 = -u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 27*o**2 - 97*o + 127. Give w(23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 3*p**5 + p**4 - p**4)*(-5 - 2 - 4).\nAnswer: 33*p**5 - 22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 3*w + 23127882*w**3 - 23128192*w**3.\nAnswer: -310*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f, 4*i - 2*f - 21 = 15. Suppose 3 = 2*u - i. What is the second derivative of -u*h**2 + h**2 - 10*h + 14*h**2 wrt h?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/18 and 53\/459942.\nAnswer: 1379826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 312 - -527?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**3 + r**2 - 1. Calculate the remainder when b(-1) is divided by (3\/(-4))\/(3\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2876975*d**3 - d**2 + 2876977*d**3 + 177 - 640.\nAnswer: 2*d**3 - d**2 - 463","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9658*j**3 - 1894.\nAnswer: 28974*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 116858042 divided by -14?\nAnswer: -8347003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l + 116 = 0. Suppose q - 74 - 183 = -5*i, 5*q + i = 1189. Let u = l + q. Is 33 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19549653 a multiple of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -261 + 266. Let v(m) = 2*m**2 - 11*m + 4. What is v(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113283907?\nAnswer: 11, 10298537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 11*w + 14. Let i be z(10). Suppose -4 = -i*v + 3*v. Let d(j) = 3*j - 3. Determine d(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 18*s**2 - 33*s + 11. What is g(16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1119 divide 3379380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1537 and 2711321.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a millisecond?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01493395 to 5 decimal places.\nAnswer: -0.01493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-2)\/3 + -2. Suppose 0 = 4*m - 4*d - 28, -6*d = -m - d + 3. Suppose 11*z - 52 + m = 0. Solve 3*l - 3*i - 3 = k, -4*i + 37 - 1 = z*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 225 - 225 - 43*c to the form d*c + w and give d.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-28) - 10\/(-14). Let b = 53382181\/669720 + 7\/55810. Let p = 238\/3 - b. Which is greater: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5658 divided by -2829\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 422 = -432 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96.999922 + 97. Round j to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 101 = 5*d, 0 = -h - 0*h + d + 31. Let y = 46 - h. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 69. Solve -n = -p*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 1 + (1*(sqrt(19) + -1) - sqrt(19)))**2*-1 + -2.\nAnswer: -1541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 146784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o = 0. Let b = o - 1. Let p(z) = z + 1. Let s(k) = -4*k - 2. What is b*s(h) - 2*p(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*x - 223*x = -99*x + 36 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a = 0. Let y be a\/((-4)\/(8\/(-2))). Solve -1 = q - y*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*a - 7. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 23. Suppose j*m = 8*m. Solve m = -5*s - 5*z + z + 40, 2*z = 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -946 - 943 + 1889 + 22*c**2.\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.97\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -119, -203, -343, -539, -791, -1099?\n\"Answer: -28*h**2 - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 693, -615, -3883, -9111, -16299?\n\"Answer: -980*g**2 + 1632*g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 12 = 2*l, 4*o - 2*l - 36 = 0. Let t(c) = c**3 + 11*c**2 - 39*c - 168. Let b be t(-13). Calculate the highest common factor of b and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16 - -3 - (-8 + 13). Suppose -15*q + 16*q - n = -3*k, -2*q = 2. Solve 0 = k*v - 33 + 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 718 + 678 - 10*f**3 - 1395.\nAnswer: -10*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208072 - 1.4356.\nAnswer: 208070.5644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 724647658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - q - 1236 - 197, -2*q = 4*w + 1914. Is w\/(-77) - 4\/22 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88842 and 41113344.\nAnswer: 6834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421119 is divided by 6190.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*m + 6*j - 4*j, j = -4. Suppose -m*x + 14 + 25 = 0. What is the highest common divisor of 208 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/18 and 131\/210?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1208298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 10*g**2 - 6*g - 35. Determine p(-7).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 93 - 7\/(28\/8)*-1. Is 1\/(-5) - (-156674)\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26726837531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 267, -4 in decreasing order.\nAnswer: 267, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**5 + 17870336*s**3 - 853*s - 10569 wrt s?\nAnswer: 20*s**3 + 107222016*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 83*j - 1. Let b(p) = -25661*p**2. What is n(b(c))?\nAnswer: -2129863*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 133 - 131. Solve -9 = 4*p - j, -g*p + 4*j = p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 3:17 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (92 + (-9905)\/105)*-3*4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 100 = 5*s. Let f be (-460)\/(-30)*6\/4. Suppose -2*g - 2*n = -44, -g = 4*n - f - 5. Calculate the greatest common factor of s and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-8)\/10*(-1800)\/96?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-135)\/(-55))\/(-9) - 1049\/(-3080) and 61\/72.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8890357*k + 2 + 8890548*k - 17780763*k.\nAnswer: 142*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 296 + 30*n - 1194 + 300 + 298 + 292 in the form x + k*n and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**4*b\/(((b\/b**(-3\/4))\/b)\/b)*b*(b**0)**47*((b**(-2\/9)*b)\/b**(-7))\/(b**(-1\/3)*b)**(31\/2) assuming b is positive.\nAnswer: b**(133\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-30)\/(-4)))\/(-8 + 13).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5*8\/(-20) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 0 - (0 + (-2073 - -8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12221 + 1001?\nAnswer: -11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831*w - 163 = 834*w - 5*o, -2*w = 3*w + 3*o - 90 - 35 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-324)\/216)\/(-11 + 5). What is the closest to q in -0.16, -2, -0.2, -1.4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1*1409 + (-25)\/20*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r**5\/4 + 66*r**4 - 164*r**3 + 287*r**2\/2 - 141*r\/4 - 11\/2 = 0.\nAnswer: -2\/19, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50665 is divided by 3611.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6455.98 times 3\nAnswer: 19367.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -10512357.\nAnswer: -2102471.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 6, e: 1, k: 1, r: 6, o: 3}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 62*c + 33. Let f(x) = 14*x + 8. Give 25*f(r) - 6*m(r).\nAnswer: -22*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 347392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {y: 1, f: 5, x: 4, r: 5, a: 4}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l - 2*l**2)*(5*l + 3*l**3 - 5*l) + 113*l**5 + 91*l**5 - 134*l**5.\nAnswer: 64*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -b + 3*v, -b = -2*b - v. Let o be (b + -5 + 2)*-366. Is (-2)\/(-5) + o\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 4*z + 4. Let j(i) = -i**2 + i + 1. Let u(d) = -4*j(d) + v(d). Factor u(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*a + 1305 - 1293 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 + 3. Let t = -46 + 33. Let j(v) = 2*v**2 + 1. Calculate t*j(r) + 6*a(r).\nAnswer: -2*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-60 - -62) + (1 + -3 - 31).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 9 = -4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 194*c + 4214. Give i(64).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeee. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57\/(-36)*365\/(-25). Let k = o - 93\/4. Let n = -0.2 - -0.1. Which is the smallest value? (a) -1 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9959668 meters?\nAnswer: 995966.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 308\/25 + 2\/25. Calculate the common denominator of h and -13\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48339, 48250, 48031, 47616, 46939, 45934?\n\"Answer: -11*s**3 + s**2 - 15*s + 48364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66 and 0.021?\nAnswer: 1.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.18. Let j = -583.7 + 584. Is j equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 2040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in 0.027, 0.1, -1.5, 0.5, 1?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - z**2 + 6*z - 2. Let l be v(-3). Let w be (0\/(-2) - 30) + (-5 - l). Let u = w - -36. Solve 3*h = -5*b + 6, -3*h - 4*b + u*b + 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-24)*6*8\/10*(-46)\/(-21942)?\nAnswer: -2\/477","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (-33 - (-42 + 20))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48476, 48468, 48460?\nAnswer: 48452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**4 - 17*j**4 + 9*j**4 - 31 - 3*j**4 + 3*j**4 - 2*j**4 + (-j**2 - j**2 + j**2)*(2*j**2 - 49*j**2 - 4*j**2).\nAnswer: 47*j**4 - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 61*h**2 - 5*h + 3. Is x(1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*h = -h + 21*h - 5281605. Does 115 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 24 = -26. Let u(h) = h**3 - 15*h**2 - 16*h. Let j be u(16). Let t(p) = p**2 - 2*p + 20. Calculate the least common multiple of t(j) and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - 10.2. Let g = c + 25. What is g rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -416 in 2\/5, 3\/7, 4\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/((-13676)\/(-4997)))\/((-2)\/(-2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -412 - -445. What is the highest common factor of l and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/3, -1, -0.076 in ascending order.\nAnswer: -10\/3, -1, -0.076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 8 - 17)*(-4*r - 3*r - 50*r)*(-r + 0*r + 3*r).\nAnswer: 1824*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 10:37 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 13*c - 4. What is the lowest common multiple of 1 + 3 + 8\/2 and y(11)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137560*n - 137560*n + 12*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1036 bigger than -1038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -12*y**2 + 5 - 14 - y**3 + 0*y**3. Let a be j(-12). Calculate the remainder when 45 is divided by -30*(1 + a\/5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26738 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -94, -211, -386, -625?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 2*p**2 - 4*p - 15. Is u(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 5, z: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 48917?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 2:11 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 2\/23 (c) 5 (d) 1\/5 (e) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/40 - 17*h**3\/6 - 17*h**2. Let x(k) be the first derivative of g(k). Let m(o) = 5*o**2 + o**2 - 4*o**2. Give x(m(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*l - 8*l**4 - 7*l**3 - 33*l + 6*l**3 - 1434*l**2 + 12*l**4 to q + y*l**3 + k*l**2 + h*l + m*l**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30*(-9 - -6 - (-6 + (-119)\/(-35))). Let j(i) = -i**3 + 4*i**2 - 2*i - 2. Let p be j(2). Sort 3, s, p in increasing order.\nAnswer: s, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1628 = -36*s + 767 + 753 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26, 0, -2\/9?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -46*r - 4. Is a(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 2*h, 4 = -4*w + 4*h. Let c be 5*((-16)\/(-10) - w). Factor -10*y**2 + 5*y**c - 15 + 5*y + 11 + 4.\nAnswer: 5*y*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**6 - j**4 - 10*j**2 - 3?\nAnswer: -480*j**3 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 divided by -27.\nAnswer: -110\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 4*x - x)*(1 + 1 + 0)*(-x + x - 4*x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgvjzzzjjzzz. Give prob of picking 1 v, 1 g, and 2 z.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.95 - -5. Let h = b - 4.05. Let a = 19\/14 + -181\/154. What is the closest to a in 5, 2\/11, h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 12*p + 15. Let w be a(-13). Suppose -17 = -w*q + 13. Let c = -14 + q. Solve -6 = -o + k, 3*k - c = o - 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 24*h**2 - 12*h. Let c(j) = j**2 - j. Let t(p) = 10*c(p) - k(p). What is the second derivative of t(u) wrt u?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*24\/162.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:46 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - 1?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*l - 67*l**3 - 45*l.\nAnswer: -67*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (289\/238 - 6\/28)*44\/(-2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.09 (b) 208 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**2*m))\/m**(1\/7))\/(m\/(m*(m\/m**1)\/m))**9)\/(m**(-5\/6)*m\/(m**(-3\/7)\/m*m))**32 assuming m is positive.\nAnswer: m**(-655\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 + 211*d + 730. Let o be t(51). Solve -30 = -1081*l + o*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55861, 55860, 55847, 55816, 55761, 55676?\nAnswer: 55555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3648099, -3648096, -3648093, -3648090, -3648087, -3648084?\n\"Answer: 3*d - 3648102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5))**13\/(((f\/f**(-3))\/f)\/(f*(f**(-3)*f)\/f*f*f)) assuming f is positive.\nAnswer: f**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 304373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 93809063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5bc (base 13) to base 2.\nAnswer: 1111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 - (1 + (0 - -3))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4620507 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + -4.5. Suppose -11725*q - 12 = -11731*q. What is the smallest value in -7\/5, q, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3*a - 2*a + 2*a**3)*(2 + 0 - 4)*(a - a - 2*a).\nAnswer: 8*a**4 - 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -38. What is the common denominator of 103\/10 and ((-246)\/(-30))\/((-42)\/u)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14409 - -5.724?\nAnswer: -14403.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1088 and 441932?\nAnswer: 7070912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(99) - sqrt(99) - sqrt(99)) - (5 + sqrt(99) + 1 + sqrt(99) - sqrt(99))**2) + ((sqrt(99) - sqrt(99)*-1*-1) + 0)**2.\nAnswer: -141 - 39*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -4 - -4 - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w + 4*j + 571 = 0, -j + 2939 = 5*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than or equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**2 - 862*o + 6631. What is j(8)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -54500000 rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65301039.\nAnswer: 3, 2418557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6*(-2)\/3 - -1 - (2 + -4572)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - 48\/6*-7. Find the second derivative of -14*a**4 + 63*a**5 - 16*a - 2 + 0 - r*a**5 wrt a.\nAnswer: 40*a**3 - 168*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 11. Suppose 5*l + 55 = 15. Let x be c(l). Solve -4*d - 2*q + 4*q - 4 = 0, 21 = -3*d - x*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 5*p - 2*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 9:38 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 810?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*x, -2*x + x - 13 = -2*w. Suppose 4 + 16 = 3*p + c, 0 = 5*p + 2*c - 33. Let k(l) = -9*l + 63. Let o be k(p). Is x greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10111133221113 + 33?\nAnswer: 10111133221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 3*x**5\/20 - 7*x**4\/12 + x**3\/2 - 9*x**2\/2 - 3*x. Let j(h) = -h**3 + h**2 + 1. Let y(w) = -4*j(w) - v(w). What is y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h - 16. Let i be n(6). Let l = i - -28. Suppose 4*t - g + 2*g - 81 = l, 9 = -3*g. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - -4) + (-60060)\/3003.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1681*h**3 + 287. Let j(i) = -35*i**3 - 6. Determine -6*a(s) - 287*j(s).\nAnswer: -41*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/335 and 71\/18?\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v - 1. Let h(x) = -4*x + 1. Let g(u) = -5*u + 1. Let r(y) = 5*g(y) - 4*h(y). Determine -5*r(q) - 6*s(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 629091233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32 + 2\/1)\/(-3 + 4). Let m(k) = k**3 + 31*k**2 + 30*k + 4. Let a be m(y). Suppose 3*r = -8*h + a*h + 9, -2*r + 6 = 4*h. Solve -2*d = -r*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:18 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -674*c - 1187 wrt c?\nAnswer: -674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -231, -522, -939, -1488, -2175, -3006, -3987?\nAnswer: -5124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**4\/8 - 16*d**3\/3 - 11*d**2. Let k be r(12). Suppose k*t - 2060 = 1224. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 0 + -1 - 1\/1. Let d(f) be the second derivative of -2*f**3\/3 + 5*f**2\/2 + 13*f. Let h be d(w). Solve -j + 5*t + 6 = 0, h*j - 2*t = -3*t + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -17*g**3 - 11*g**2 + 4*g. Let r(w) = 9*w**3 + 6*w**2 - 2*w. Suppose 2*h = -5*d + 17, -5*d = -5*h - 3*d + 57. Give h*r(k) + 6*n(k).\nAnswer: -3*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25154192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*l - 28. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 5. Let i be w(0). Which is smaller: i or 11\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**39*b\/(b*b**(-5\/4)\/b)*b**(2\/5)*b*(b\/b**(-1)*b)**(-1\/9)\/(b\/((b*b**(-3))\/b)*b**5) assuming b is positive.\nAnswer: b**(-2681\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1259826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 48. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.024? (a) 30 (b) 1\/12 (c) -3\/4 (d) -5 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*x**3 - 379*x**2 + 8*x + 1147 wrt x.\nAnswer: 246*x - 758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/117 - 112\/(-52). Suppose -2*k = -2 - 18. Is u smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 + -11.93. Let g = -11.899 - j. What is g rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22247954 to the power of 1\/2, to the nearest integer?\nAnswer: 4717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/(8\/(-24)) - 29. Let s be (-192)\/m - (-6)\/42. Solve 9*v - s*v - 10 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7859212 divided by -3518\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 102128.\nAnswer: 4085.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 2. Give t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2048\/61 and 33 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -428 + 377.889. Let p = f - -0.111. Let x = -50.071 - p. What is x rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**4 + 215*m**2 - 699.\nAnswer: -12*m**3 + 430*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**2 + 33*i - 7. Let t be k(8). Let s be (t*10\/(-8))\/(60\/(-32)). Factor 2\/3 - s*q**3 + 2*q**2 - 2*q.\nAnswer: -2*(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n - 79. Suppose 5*j = -n + 319. Let p = j - 17. What is the remainder when 91 is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**3 + 18*h**2 + 28*h - 21. Let a(m) = 14*m**3 - 55*m**2 - 84*m + 62. Let w(f) = -4*a(f) - 11*u(f). Is w(23) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 795*g - 92 = -1682 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 310990.4827?\nAnswer: -310990.2827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*g - 32 = 0, -q - 16 = -3*q - 2*g. Let u = -976 - -1140. Calculate the lowest common multiple of q and u.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1343\/5372*(-7)\/2*-8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -996\/5, 83, -0.08, 2\/9, -9, 0.2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-223)\/(-12) - 2) + 18\/(-72). Find t, given that -49\/3*t**2 + 4\/3*t + 4\/3 - y*t**3 = 0.\nAnswer: -1, -2\/7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540669 is divided by 1143?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-108)\/(-60) + (-13)\/10. Let b(a) be the second derivative of 0*a**3 + r*a**4 + 3\/20*a**5 + 5*a + 0*a**2 + 0. Find the third derivative of b(u) wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -7 - -7) + 15.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 89 = 20*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -504 (base 9) to base 2.\nAnswer: -110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -134371060 to the nearest 1000000.\nAnswer: -134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 3. Let n be c(-5). Let b = n + -3. Suppose -s - b*j = 10, -3*s = s + j - 55. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 57*f**2 + 7*f + 6. Let p(w) = 2*w**2. What is g(p(n))?\nAnswer: 228*n**4 + 14*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1693209.\nAnswer: 3, 7, 80629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15347717?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12342453403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641579 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(-9 - (-144)\/15). Let k(r) be the second derivative of -8*r + 7\/3*r**4 + 4\/3*r**y + 0*r**2 + 0. Factor k(v).\nAnswer: 4*v*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 3*t - 2*t + 3*t + 1. Let z be w(-4). Let f(h) = 12*h**2 + 5*h + 6. Does 15 divide f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 5, -0.341, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 3*w**2 - 4*w + 2. Let u be i(-4). Suppose -u*f = 3 + 17. Is (2\/3)\/(f\/(-705)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - o + 0*o + (3*o - 5*o + o)*(6 + 0 - 5) + 0*o - 3*o + 5*o + 2*o + 2 - 2 - 8*o + 3*o + 14*o + 0*o - 5*o + o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-4))\/((-1)\/16). Let b be 4\/5*(u - -120). Find the common denominator of (-4)\/(-16) - 628\/b and -113\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 20 = -7*n + 2*t, -3*n - 2*t + 9 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -17*s**8\/56 - s**7\/21 + s**4\/6 + 9*s**3\/2 - 4*s - 1. What is the third derivative of d(l) wrt l?\nAnswer: -2040*l**3 - 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1 + 269914*v**2 - 269864*v**2 - 2*v + 1. Let d(b) = b - 2*b + b + 2*b. Give o(d(a)).\nAnswer: 200*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35, -3, -0.3, 4, 2\/7, -16\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100101100000011011 + -111100?\nAnswer: 1001100101011111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39626173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - 0 - (-7 - 1 - (-58 + 53)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a + 8. Let s be x(-6). Let p be 2\/(-5) + s\/10. Suppose -16 = -8*r + p*r. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + 81. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*h - 9, h - 2 = -15*b + 16*b. Let p be 36*(b\/(-9) - 0\/2). Sort 0, p, 1.\nAnswer: 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 2528?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 883 divide 32858107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5 + 4*p + 10 - 3*p. Let n(l) = -3*l - 16. Let t(x) = -6*n(x) - 17*v(x). Let z be t(-9). Solve z*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3 - 0, r - 47 = m. What is the tens digit of r\/(-11) - 30\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 925, 1852, 2781, 3712, 4645?\n\"Answer: a**2 + 924*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88093.75km to millimeters.\nAnswer: 88093750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-29)\/(o**(-14)\/o*o))**(-5\/13) assuming o is positive.\nAnswer: o**(75\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/9141 and -115\/1662.\nAnswer: 18282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blqwzla. Give prob of picking 1 l and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2917*o - 440 = -2972*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 217042 and 518?\nAnswer: 217042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-5*72\/240)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 170 - 2039\/12. Let v(m) be the second derivative of 0 + 0*m**2 + 1\/2*m**3 - m + a*m**4. What is the second derivative of v(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -52, -59, -68, -79, -92?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 + 956*n**4 - 959*n**3 - 1914*n**2.\nAnswer: n**2*(n - 2)*(n + 1)*(n + 957)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -140, -133, -126, -119, -112, -105?\n\"Answer: 7*k - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -690004 and -4?\nAnswer: 2760016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**4 + t**3 + 4*t**2 + 4*t. Let p be 11\/3 - 1\/(-3). Suppose 0 = -0*h + 2*h + p. Let f(s) = -s**2 - s. Let u(m) = h*g(m) - 10*f(m). Factor u(r).\nAnswer: -2*r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1571 and 1571 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*c - 0 - 2, 0 = 5*y + 2*c - 8. Let h be (65 - 4)*2\/y. Suppose 4*j - 3 = h. What is the highest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - g + 5 = 1, 0 = -5*j - 3*g + 12. Let b be 1 + (1 + 2)\/3. Solve 0*p + 0*p**3 + j + 2\/5*p**4 - 2\/5*p**b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2. Let k(t) = 4122*t. What is o(k(p))?\nAnswer: 16990884*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-1 + -1*sqrt(176))**2 + (2 + sqrt(99) + 4 - sqrt(99)).\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338759 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 979*h + 119 - 2389 - 875*h.\nAnswer: 104*h - 2270","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-26))\/(-1*16\/8)*-8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -689 + 3?\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20122\/3 + 6596. Let o = c + 112. Factor -2\/3*s**2 - o*s**3 + 2\/3 + 2\/3*s.\nAnswer: -2*(s - 1)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*c = -38, 4*t + 2 = -5*c - 46. What is the third biggest value in 0.3, 4\/17, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 14*t - 1. Let v(r) = r + 2. Let p be v(-2). Let f = -1 + p. Give c(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42306, -84625, -126944, -169263, -211582, -253901?\n\"Answer: -42319*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-190)*(-5)\/(-16).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3451, 86, -0.2, -7, -0.9.\nAnswer: -3451, -7, -0.9, -0.2, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 12, 4*z = -3*i - 4 - 0. Let h(k) = 10*k**2 + 7*k. Let a(j) = 3*j**2 + 2*j. Let p(c) = z*h(c) - 7*a(c). Factor p(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**3 - a**2 - 2*a**3 + 54 - 51 in the form v + o*a**3 + j*a**2 + b*a and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5983624994 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-50)*-5*1\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2405, -2607, -2805, -2999, -3189, -3375?\n\"Answer: 2*k**2 - 208*k - 2199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 20202*l**2 - 21666*l**2 + 0*l.\nAnswer: -1464*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + 12 - (17 + -5 - 8)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, 107, 272, 509, 818, 1199, 1652?\n\"Answer: 36*w**2 - 15*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -311.119 - 2489.404\nAnswer: -2800.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 2 + 0\/3. Suppose 2*q = -q - 9. Let t = 6 + -14. Sort p, t, q in decreasing order.\nAnswer: p, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/3 - 4\/96*-8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + a - 24, y = -3*y + a + 12. Suppose y*x - r = 34, 0 = 5*x + 2*r - 67 + 18. Calculate the smallest common multiple of x and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 190*t**4 - 4*t**3 + 1976*t**2 wrt t.\nAnswer: 4560*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16882 divided by -734?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -552 - 867465?\nAnswer: -868127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 - 439*c - 8675. Give w(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125715, 251403, 377065, 502701?\nAnswer: 628311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135\/(-36))\/((-7)\/(-4)) - (-1 + -1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. Suppose 2*j - 4 = 0, -u - 3 - 1 = -3*j. Suppose 0 = u*y - 3 - c. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 820403 + -454523. Let t = 530780 - f. Round t to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3578769, 7157123, 10735477, 14313831?\n\"Answer: 3578354*z + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 3. Let d = 7 - 2. Let a be g(d). Suppose 2*p - a*m - 2 = 6, -3*p - m = -12. Let u(j) = -j**2 + 2*j + 4. Determine u(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from rraaraaarcaavaa?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8181*u**2 - 7*u**3 + 8181*u**2. Let g(p) = -20*p**3. Suppose 15*h + 4*s = 12*h - 38, 5*h + 71 = s. Give h*x(i) + 5*g(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12000022 (base 3) to base 9\nAnswer: 5008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*w + 2*v, 0 = -4*v + 2 + 6. Suppose 324 = w*r - 16*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5502378 and 21000.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*p + 5 = 1, 0 = -2*p - 8. Let x be ((-10)\/3)\/((-2)\/3). Find y such that -7*y**z - 3*y**3 + 0*y**x + y**5 + 5*y + 4*y**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759*h + 707*h + 15 + 309 = 3*x, 6*h = 3*h + 5*x - 2 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 16) to base 5\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1761792344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19043 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 2*b - 12. Let q be r(0). Let l = q - -186. Is 25 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 5*x + 2. Let t be f(4). Let n(d) = -d**3 - 8*d**2 + 3*d - 34. Let o be n(-9). Suppose 2*c - 3 = 1. Solve -c*i - o = -t*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2695149987.50000294 - -2695149666.5. Let w = -451 - -772. Let q = w + u. Round q to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.41046 + 4569.68954. What is m rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, 59, 201, 411, 695, 1059, 1509?\n\"Answer: w**3 + 25*w**2 - 2*w - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.1 + 28. Let i = 7544.9062 - 7543. Let b = i - h. What is b rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -11010010?\nAnswer: -11010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 21*a - 65. Let x be n(17). Let c be -1*(-21)\/((-3)\/(-1)). Solve x*v = 2*w - v, -3*w = v + c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*k = 387, -w + 3*k + k - 181 = 0. What is the tens digit of (-67)\/w - 2990\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k - 26 + 3*k + 21 + k**2 + 9*k. Let t be s(3). What is the greatest common factor of t and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -32 (c) 47 (d) -1\/3 (e) -12 (f) 1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t - 6. Let z be r(-5). Let g be ((-3)\/2)\/((-1)\/z). Let x(s) = s**2 - 17*s + 62. Let n be x(12). Solve -n*p - g = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -459.5 + 66.5. Let z = u + 310.2. What is z rounded to the nearest integer?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.22 and 3.624?\nAnswer: -0.79728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 + 88 = -5*f, 5*o - 3*f - 115 = 0. Suppose o = 5*j, 6*t - 2*j = 5*t + 20. Let g = -31 + t. Sort 1, g, -4 in ascending order.\nAnswer: -4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 307 + -161. Is 38 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 158189 - 108387. List the prime factors of x.\nAnswer: 2, 37, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -110*j**3*x**2 - j*x**3 - 227*x**3 + 1 wrt j.\nAnswer: -330*j**2*x**2 - x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2149*d**2 - 2122*d**2 - d + 4362*d**2.\nAnswer: 91*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeweeeeweeeeewee. What is prob of picking 2 w and 1 e?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (-6*((sqrt(288) - (sqrt(288) + 0 + sqrt(288))) + 1 + sqrt(288))*4)**2*-4 + 2).\nAnswer: -13824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 23*k**3 + 2527. Let y(b) = 14*b**3 + 1263. Determine 4*t(o) - 7*y(o).\nAnswer: -6*o**3 + 1267","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*b + 8*b. Let r = b + 11. What is the second derivative of y - 4*y**2 - r*y + 0*y wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6 (b) -2\/19 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o - 53*o**4 + 17*o**4 + 23*o**4 wrt o?\nAnswer: -156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Let r = y + 3. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -20*3\/(-30)*6. Let g = k + -12. What is the second derivative of 84 - 4*c + g*c - 84 - 2*c**2 wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((4*sqrt(7)*-1 + sqrt(700) + -2 + sqrt(7) + 4)*5 + 4)**2.\nAnswer: 980*sqrt(7) + 8776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7841 divided by 7841\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 13*i - 20 = 0. Which is the nearest to 1? (a) 0.24 (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -27. Suppose 1 - c = -2*x. Find the third derivative of 37*j**3 - 18*j**3 + j**x - 31*j**3 wrt j.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00055238 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/4 + 37*x**3\/2 - 451*x**2 + 3630*x = 0. Calculate x.\nAnswer: 0, 22, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 411 * -0.101328\nAnswer: -41.645808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 3 - 2 - 1 + 5 - 4 + 2 + 1 + (-3 + 2 + 2)*(6 - 2 - 3))*(-5*j**2 + 0*j**2 + 4*j**2) in the form h*j**2 + z*j + b and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -5, 10 in descending order.\nAnswer: 10, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 11*j**2 + 10*j + 1. Let q be t(10). Let l be (19 - 20)\/(q\/(-2)). Solve 0 = 4*h - z + 18, 0*z - 8 = h - l*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 2056500.\nAnswer: 2056500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 252154996 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*r + 3 = 0, -2 = -q - 4*q - 2*r. Suppose 0*c + 9 = -c + 5*v, c + 5*v - 41 = q. Calculate the highest common factor of c and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358725874 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12564524*j**4 - 102369716.\nAnswer: -50258096*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/(279\/248)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/8)*u**0*(u*u**(-9)\/u)**(-13))**(4\/7) assuming u is positive.\nAnswer: u**(135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*g**2*h**2 - 729*g**2*h + 18*h**3 - 2*h**2 wrt h.\nAnswer: -64*g**2 + 108*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 14*t - 2. Let x be i(-14). Let u be (x\/4)\/((-7)\/42). Suppose -3 = -u*m - 3*p + 126, 2*p + 66 = 2*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -198*r + 5. Is j(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 43150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 157125 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 5*i - 3*i + 26, 102 = 4*j + 3*i + 151 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2625, -2, -1, 3, 5 in decreasing order.\nAnswer: 2625, 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490.3809um to millimeters.\nAnswer: 0.4903809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2778*f - 1763 wrt f?\nAnswer: 2778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9404682?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - a - 5, 2*y + 0*a = -3*a + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10619893, 21239751, 31859573, 42479359, 53099109, 63718823?\n\"Answer: -18*g**2 + 10619912*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 451121 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10) + 2\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -2b?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + -4 - (-10 + -1 + (2 - (-13 + 9))).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.491967 decades?\nAnswer: 94.91967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12684 and 1148.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11 from -0.632.\nAnswer: -11.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -13. Let h = x + -10.0085. Round h to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 452*g + 2657 - 1525 + 4292. Sort 0, -1, -4, g.\nAnswer: g, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 0*w**2 + 0*w**3 + 0*w**5 + 0 + w - 41\/12*w**4 + 11\/10*w**6. Find the third derivative of d(p) wrt p.\nAnswer: 792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1073*d + 541*d + 532*d - 283*d**2 + 180*d**2 - 231*d**2.\nAnswer: -334*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (sqrt(275) + (5*(sqrt(275)*-3 - sqrt(275)))**2 - (4 + sqrt(275) + 1))) + 1.\nAnswer: -659969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 d, and 1 a when three letters picked without replacement from ajadgggzgdajga?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaeaaea. Give prob of picking 3 a.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - 18 - (9 - 1) - 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211200110201 + 2?\nAnswer: 1211200110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 34 = 1. Suppose -l - d + 20 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106808 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20777 - 14223. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*b + 90 + 84 - 254 + 82.\nAnswer: 265*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4136 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98*l**4 + 2*l**3 + 180 wrt l?\nAnswer: -392*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 17 + 1 = k, 10 = 5*k. Suppose 0*t = -4*t + x. Sort -3, t, 0.\nAnswer: -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 181 - -5.797.\nAnswer: 186.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**4 - 2*r. Let z(v) = -9*v**4 + v**2 - 5*v. Let g(j) = 10*i(j) - 4*z(j). Find the third derivative of g(y) wrt y.\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a - 24 = -4*t, 4*a - 20 = -t. Suppose 0 = -a*l + 5*g + 19 + 53, -4*g - 54 = -3*l. Calculate the remainder when 53 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**2*r**2 - l**2*r + 11*l*r + 116*r**5 wrt r.\nAnswer: -2*l**2 + 2320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 17622?\nAnswer: 17622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 + 23. Let k = 146 + o. Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/22 + 16\/88. Let x(g) = g. Let j(f) = -5*f**2 + 6*f + 1. Let z(y) = w*x(y) - j(y). Does 16 divide z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5357478.\nAnswer: 2, 3, 7, 199, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*f - 52*f + 18*f.\nAnswer: -235*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1034821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1*-5)\/((sqrt(54) + sqrt(216)\/sqrt(4))\/sqrt(6) - sqrt(9)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3*c + 8 = -13, c = 2*s - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*q**2 - 28*q**4 - 69*q**2)*(q + q - q).\nAnswer: -28*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 5. Let v be n(-4). Let o(x) = x - 6. Let p be o(v). Let c be p + (-1)\/(-1) + 1. Solve 3 = s + 2*i - 0, s + 17 = c*i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/10481 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n**3 + 8*n**2 + n - 6. Let c(r) = -16*r**3 - 17*r**2 - 2*r + 14. Give 5*b(v) + 2*c(v).\nAnswer: 8*v**3 + 6*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*z - 3. Let q(k) = -4*k**3 - k - 1. Let h be q(z). Suppose 1 = -h*j - 5*i - 3, 0 = -2*j + 3*i + 20. Solve j*y - 11 = -p + 10, -4*p = y - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1714d (base 14) to base 13\nAnswer: 20470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 + -56. Suppose -3*c + 42 = v*c. What is the second derivative of -9*i - 23*i - 14*i**3 + i + c*i**3 wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 980 and 117740.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -22\/159, -2, 0.1, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(21)\/sqrt(3)) + sqrt(272)*3)**2*2 + (sqrt(153) + -3 + (sqrt(17) - (sqrt(17) + 4 + -5)))**2 + 0.\nAnswer: -12*sqrt(17) + 5903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -11. Let u be (t\/6)\/(-2*1). Let b(j) = -j**3 - j**2 + 12. Determine b(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a974 (base 12) to base 11\nAnswer: -411aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t - 104. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-70)\/4*(7 + -9). Let i(h) = h**3 + 8*h**2 + 4*h - 7. Let n be i(-7). What is the greatest common divisor of x and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from bbvbbbbbbvvbbbbvbb?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*y + 48*y**4 - 17*y**4 + 66*y**2 - 11*y**4 - 22*y**4 to the form j*y**4 + u*y**3 + t*y**2 + a*y + z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -133*l**3 - 4*l**2 + 10*l + 12. What is b(-1)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.4, -5\/2, 5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4\/36*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 11}. What is prob of picking 2 b?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 314250000 rounded to the nearest one million?\nAnswer: 314000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -65*b. Let g = 9 - 5. Let v(q) = -21*q - 624. Let z(d) = -24*d - 702. Let w(m) = 9*v(m) - 8*z(m). Calculate g*s(y) + 90*w(y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*u**2 + 7*u**3 - 1759*u + 114*u**2.\nAnswer: 7*u**3 - 1759*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/240*(-8 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m - 2*m + (1 + 4 + 0)*(3*m - 4*m - m))*(2 - 4 + 0).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 11*u - 1. Let z be l(2). Let t(d) = 4*d**2 - d - 2. Calculate the remainder when (-6)\/(-4)*406\/z is divided by t(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)*i\/((i\/((i*i\/(i*((i*i**(-2)*i)\/i)\/i))\/i))\/i*i))\/(i**(-1)\/i*i*i**(-3\/4)) assuming i is positive.\nAnswer: i**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 66 = -19*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29278 is divided by 21\/(-49)*1 - (-3428)\/28?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 4. Let x be z(-3). Let y(v) = -v**2 + 4*v - 1. Determine y(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 618\nAnswer: 3090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 846867 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235846 and 2538.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19470, 77884, 175232, 311508, 486706, 700820?\nAnswer: 953844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29497\/4 - 7374. Sort -0.4, 3, -85\/8, u, 2 in ascending order.\nAnswer: -85\/8, -0.4, u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38575 and 575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(432)*-1)\/sqrt(9).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001325442643 rounded to 7 decimal places?\nAnswer: 0.0001325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4200240 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/5? (a) 2\/9 (b) -4 (c) -989\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2 - 6. Suppose -3*p + 659994 = y*z, 0*z + z - p = 330002. Round z to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -14 - (7 + 0)) + -7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**5 - 2*b**4 - 25*b**3 + 20434*b**2 wrt b?\nAnswer: -420*b**2 - 48*b - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 3*g - g**2 + 4 + 3*g. Let j(n) = n**3 + 34*n**2 - 73*n - 28. Let p be j(-36). Let z be x(p). Round z to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4984320)\/(-64000) - (-156)\/(-2)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - t**2 - 6*t. Let w(k) = -3*k**3 + 4*k**2 - 25*k - 1. Calculate 2*o(n) - w(n).\nAnswer: n**3 - 6*n**2 + 13*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**3 + 16*c. Let z(g) be the third derivative of -g**6\/120 - g**4\/8 - 35*g**2. What is 2*j(n) + 11*z(n)?\nAnswer: -3*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*r = -r, 3*d = -3*r. Suppose 7*g - 3*g = d, 2*g + 50 = 5*t. Suppose 29225 = t*y + 11215. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*q + 3*q + 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + (6 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/(-10) + (-38)\/(-10) + -4. Suppose 5*r + 5*d = 25, 2*d = -0 + l. Solve 2*a + 3*w = -6, 5*a - r*w = 6*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**3 + 1116*u**2 - 487*u + 1610. Determine h(159).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -236 at least as big as -1415\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -43*z**5\/5 + 21*z - 24. Differentiate b(u) wrt u.\nAnswer: -172*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - w - 13, 2 = n - 2*w + 3. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in two fifths of a centimeter?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0453367 rounded to 5 dps?\nAnswer: 0.04534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + ((1*sqrt(75))**2*2 - (sqrt(75) + 0)**2*4) + 5 + 2.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/142 (b) 1.1 (c) 6064 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 58*q + 205. Calculate t(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -0. Let s = 3 + 4. Let b = -5 + s. Put r, -17, b in increasing order.\nAnswer: -17, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 4. Solve -n + l = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = -61*s - 438*q + 441*q, 5*q = 4*s + 83 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 3. Let b be z(4). Let l be 8\/12*15\/2. Let k be (3\/l)\/(1\/5). Put b, k, -3 in decreasing order.\nAnswer: k, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -89 (b) 0.0493 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*1 - (-65)\/30. Let d be 140\/910*(-13)\/(-4). What is the second biggest value in b, d, -2\/27?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 14*v + 5. Let c be h(14). Calculate the greatest common factor of c and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 24*d**2 + 192*d + 1536.\nAnswer: -3*(d - 8)*(d + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/9*(-2)\/(-5). Suppose 4*y - 22 = -5*x - 0*x, 5 = -5*x + 5*y. Are x and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/7)\/v)*v)**(3\/4)*(v**(1\/2)\/v)**(-16) assuming v is positive.\nAnswer: v**(293\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*v = -83*v + 36. Let f(o) be the first derivative of -15*o + 0*o**3 + 0*o**2 - 1\/2*o**v + 1. Find the first derivative of f(k) wrt k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 11. List the prime factors of 23\/(3*n\/3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25.9 - 30.9. Let z = 4\/23 - 47\/138. Which is the biggest value? (a) -1\/4 (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 3, m: 1, r: 3, y: 3, l: 1}. Give prob of picking 1 m, 1 c, and 1 l.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 6 + -1 - 5. Let z be (-1)\/l*40\/4. Calculate the highest common divisor of z and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17339 and 2821303.\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 118, 270, 448, 652, 882, 1138, 1420?\n\"Answer: 13*p**2 + 113*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3625241969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17230 is divided by 2870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3097 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: Suppose -31*a = -30*a - 132. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -27\/37, -25 in decreasing order.\nAnswer: -27\/37, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -219, 0.4, 2\/123, 0.3?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s - 12*s + 90 = -9*s. Sort 0, -5, 5, -7, s in increasing order.\nAnswer: -7, -5, s, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 42*q**2 + 45*q + 89. Let p be 261\/(-6) - 1\/(-2). Let u be t(p). Solve 0 = -2*h - u*j + 4, -4*j + 20 = -3*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -10*h**6\/3 + 7*h**3 - 15. Find the third derivative of p(x) wrt x.\nAnswer: -1200*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 - 31*a - 9. Let n be p(-11). Let u(j) = -n*j**2 + 43*j**2 + 52*j**2. Let k(w) = 6*w**2. What is k(u(q))?\nAnswer: 150*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - f + (2 - 7 + 1)*(f - 2*f - f) - 2*f - f + 2*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 56. Let t = 25 - k. Suppose -3*g = -g - 5*x - t, -3*x = 5*g - 86. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110000001010010 - -100?\nAnswer: 100110000001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2884896 divided by -112.\nAnswer: -25758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1448 and 53757.\nAnswer: 430056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 m when four letters picked without replacement from {h: 2, b: 2, l: 1, z: 4, m: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 5*m + p, -108 = -3*m - m + 2*p. Let i be 1\/(-1)*m\/3. Let d be (-4)\/(-3)*i\/66. Which is the third smallest value? (a) -4 (b) d (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -34?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0*v**4 + 19 + 0*v**3 + 0*v + 1\/60*v**5 + v**2. Let d(p) be the third derivative of -5*p**4\/3 + p**2. What is d(s(a))?\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-34)\/(-12))\/((-1)\/6). Sort 2, 5, q in decreasing order.\nAnswer: 5, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 136*r**2 + 19*r**2 - 32*r**2 + r**3 + 91*r**2 - 2*r**3.\nAnswer: -3*r**3 + 214*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((5 + 7)\/2)\/(1 - -2). Solve 0 = k*f + 3 - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i + 10. Sort 4, 161, 2, i.\nAnswer: i, 2, 4, 161","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17302960?\nAnswer: 2, 5, 31, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 2*z**2 + 5*z - 3. Let x be p(3). Suppose -4*y - 111 = -3*m + 113, x*y - 332 = -4*m. Round m to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92*g**3*p**4 - 2*g**3*p**2 + 3*g*p**2 + 11*g*p - 2*p**4 wrt p.\nAnswer: -2208*g**3*p - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9122 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13735398893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19718?\nAnswer: 2, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 903*o - 892*o + 99 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 78. Let n = x - -65. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5 + 26*n**4 + 10*n**3 - 170*n**2 - 12*n + 144 = 0. What is n?\nAnswer: -12, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -1554210074?\nAnswer: -1554210074.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(4\/10 - (-29)\/(-60)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 881, 897, 923, 959?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*f**2*l**3 - 53*f**2*l**2 + 3*f**2*l + l**3 - 216*l**2 + 1 wrt f?\nAnswer: 16*f*l**3 - 106*f*l**2 + 6*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4\/5 + 12858*o**3\/5 - 351352*o**2\/5 + 2492598*o\/5 - 1160068\/5 = 0. What is o?\nAnswer: 1\/2, 13, 14, 3187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 7*s**2 - 10*s - 7. Suppose 573 - 567 = -2*b. Let z(m) = -m**3 + 3*m**2 - 5*m - 3. Determine b*k(g) + 7*z(g).\nAnswer: -g**3 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 19*g**3)*(0*g**2 + 2*g**2 + 0*g**2)*((-4 + 6 - 1)*(3 - 3 - 1) - 3 - 5 - 14).\nAnswer: -874*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107551?\nAnswer: 131, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.81 - 8.04. Let q = 0.021 - -1.009. Let o = q + b. What is o rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1340)\/(-1675)*5\/203)\/((-18)\/(-21)).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 1, y: 13}. Give prob of sequence jqy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:31 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2528 or -2529?\nAnswer: -2528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.525 weeks in days?\nAnswer: 1529.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1547.14 + -32.14. Let i = p - 1518.589. Let m = 3.7 + i. What is m rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*n**2 - 243*n**2 - 318*n**2 - 261*n**2 + 51*n**2.\nAnswer: -891*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056229 is divided by 21546.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -z + 1, 2*z + 3*j = z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -5, 1027 in descending order.\nAnswer: 1027, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 9*w - 3. Calculate d(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 + -303\/2. Factor -f*w**2 + 0*w + 0 + 1\/2*w**3.\nAnswer: w**2*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 385471724 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -34527*i + 34388*i - 1 + 0 in the form r*i + z and give r.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3350.13242 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1272, 2539, 3794, 5031, 6244, 7427, 8574, 9679?\nAnswer: 10736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1013680 > -1013719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:05 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**3 - 1690*t**2 + 75095*t - 210210 = 0.\nAnswer: 3, 49, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -89, -184, -291, -416, -565, -744?\n\"Answer: -x**3 - 88*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 divided by 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 119 + 21 = 0. Let j = f - 15. Solve -3*p = p + j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 5:27 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, z: 1}. Give prob of picking 2 f and 1 z.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -193 and 6325384960939.\nAnswer: 6325384960746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3630 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*g - 0 - 11, -11 = w + 2*g. Let a = -6 - w. Suppose -35 = -a*c - 0*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81768*b**2 - 318*b + 2?\nAnswer: 163536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 164301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12740 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 532*r**3 - 148*r + 151. Let z(x) = -89*x**3 + 24*x - 25. What is 6*j(k) + 37*z(k)?\nAnswer: -101*k**3 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -126*l - 3. Let r be q(-20). Let z = r + -22700\/9. Calculate the common denominator of z and (-2)\/3 + (-807)\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/26124 and 113\/3360.\nAnswer: 1044960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/5)*d)**(-6\/13))**(-5\/8)\/((d**0)**(-4)*d**(2\/9)\/(d\/(d**(-1\/12)*d))) assuming d is positive.\nAnswer: d**(151\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83665*z - 2320*z**2 + 83665*z.\nAnswer: -2320*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -17. Suppose f = -o, 3*w + w = 4*o + 76. What is the derivative of -2*u + 10*u - 4*u + 0*u + w wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 11*h**2 - 87*h - 9. Let k(u) = -5*u**2 + 43*u + 4. Let n(t) = 9*k(t) + 4*o(t). Let l(m) = 5*m**2. Give n(l(x)).\nAnswer: -25*x**4 + 195*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/112)\/(-1*6\/(-2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1492 - 1026. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 1. Let t(o) = 6*o**3 - 5*o**2. Let a(x) = 7*x**3 - 5*x**2 + 1. Let d(s) = -5*a(s) + 6*t(s). Let n = -1 - 0. Calculate n*d(f) - 5*k(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321 divided by -35436.\nAnswer: -107\/11812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7671314 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 4 - 26)*(-26 + 5*l**2 + 26).\nAnswer: -210*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*m + 24 = 8*t, 2*t = m + 3. Let z = 116 + -582\/5. Let a = -7.8 - -8. Put t, a, z in decreasing order.\nAnswer: t, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10*m**3 - 2*m**2 + m + 1. Let l(p) = 103. Let d(s) = -240. Let k(n) = -3*d(n) - 7*l(n). Give k(j) + y(j).\nAnswer: -10*j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 - 2*d**4 + 0*d**4 - d**2 + (10*d**2 - 393 + 393)*(0*d**2 + d**2 - 3*d**2) + 3*d**4 - 6*d**4 + 2*d**4.\nAnswer: -23*d**4 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1222.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-4)\/(-9))\/(16\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 25*s**2 + s + 23. Let c be (-20)\/(-15) - (-2)\/3. Let g(a) = -12*a + 9*a - a**c + 2*a. Let y(h) = g(h) + i(h). What is the derivative of y(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12349 + -12286. Put a, 0.9, -4\/3, -3, 1\/5 in decreasing order.\nAnswer: a, 0.9, 1\/5, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -13*b**2 - 7*b + 19. Let j(y) = 9*y**2 + 4*y - 13. Give 5*c(i) + 7*j(i).\nAnswer: -2*i**2 - 7*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 5*t**2 - 3*t + (4*t - 2*t - t)*(t + 2*t - t) - 3*t**2 + 3*t - 28 + 3*t - 8*t to the form j*t**2 + b + v*t and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 6 - 44*a**2 + 6*a**3 + 6*a + 53*a**2. Let b(v) = 11*v**3 + 19*v**2 + 13*v - 13. Give -6*b(x) + 13*t(x).\nAnswer: -x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p + p**2 + p**3 + 3*p**3 - 7*p**3 to s*p**3 + a*p + d*p**2 + i and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -848686*k + 848686*k + 1844*k**2 in the form t + i*k**2 + o*k and give i.\nAnswer: 1844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*d + 129*d + 115 = 274*d. Solve 1 = 3*q - 2*r, d*r + 28 + 0 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5750\/27597 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*o + 8 = 0, 3*o - 15 = -6*h + 2*h. Suppose p = -h*p. Solve i + p = -2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 21.14. Let k be 1\/(-3)*(-6)\/(-11). What is the biggest value in -2, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.61737 and -0.5?\nAnswer: 0.308685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:36 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46\/1843 + 71126\/3735761. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*d = 122, x = 4*x + 5*d + 77. Suppose 36 = -s - y + 5*y, 5*y = 0. What are the prime factors of x\/s + (-442)\/(-3)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250320821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.045, -4\/5, 1\/4, 3, 2.42?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.136651 times -0.9\nAnswer: 0.1229859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*q + 372 - 372 to the form i*q + p and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3617*a + 425923 - 425923.\nAnswer: 3617*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1232*m + 10 + 1232*m + 25*m**2.\nAnswer: 25*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 - 1261 + 219 = -49*q + 2163 for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*s = 32*s - 29*s. Factor 0*g**2 - 6\/11*g**4 + 0*g**3 - 6\/11*g**5 + s + 0*g.\nAnswer: -6*g**4*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*c - 5 - 0, -2*n = 3*c - 2. Let t be 4 + (0\/(-1) - c). Solve 3*s - 7*s = 5*l + 20, -2*l + 5*s - 8 = t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3948 = 4*d, -2*d - y + 3*y = -1976. Suppose -3*m + 5*m = d. What is the greatest common divisor of 31 and m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, 36, 177, 464, 945?\n\"Answer: 8*z**3 + z**2 - 16*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2373*w + 2376*w - 2*l - 9, -3*l - 11 = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/7353 and -85\/27864.\nAnswer: 529416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 97602686 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0361442039 to 6 decimal places.\nAnswer: -0.036144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1346 = 7*o - 915. Suppose 0 = 4*m - 5*n + 875, m = -m - n - 427. Let s = o + m. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 122031?\nAnswer: -122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 9) in base 4?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(84)\/(2*sqrt(700) + sqrt(700) - sqrt(700) - sqrt(7)))\/((sqrt(576) + sqrt(576)*2)*-6).\nAnswer: -sqrt(3)\/4104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2 + (-18)\/(-8)). Let n = -2 + q. Suppose 0 = t + 3*b + 5, -n*b - 13 = -3*t - 4*b. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 119*n - 156*n - 74 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 55.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, f: 2, a: 2, r: 1, s: 6}. Give prob of picking 2 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.072 and 191191.\nAnswer: -13765.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 309176 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.776144 decades?\nAnswer: 933.13728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1, -2609, 2, -72.\nAnswer: -2609, -72, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -5. Let q(l) = l**2 - 26*l - 20. Let y be q(25). What are the prime factors of p\/10*y\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) -3\/232 (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -30*i - 19. Determine t(4).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1434104 (base 6) to base 8\nAnswer: 241170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56942)\/10426 - 12\/(-26).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 157865383?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 8 - (15 - 26).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 - (44 - 35 - 77)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 9:46 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*r + 29 = 54, 5*r = -25. Solve -2*n - 7 = 2*y - 3, y - 10 = f*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6641891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51068*c**2 + 3*c**3 + 51068*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 2*l + 7. Let q be v(0). Let w(s) = -s**2 + 10*s - 7. What is the tens digit of w(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p + 87 = -26*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7168680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 778, 774, 774, 784, 810, 858, 934, 1044?\nAnswer: 1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 69360*m - 69329*m + 138689*m + 1 - 1.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 401, 2365, 5639, 10223?\n\"Answer: 655*g**2 - g - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -1) + -24 + (-3 + -3 - -22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17506 + 17734. What is the greatest common divisor of 420 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3630\/(-297))\/(235\/(-1269))*(-1)\/(-3)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 24*q**2 - 21*q + 7. Let h(y) = -8*y**2 + 7*y - 2. Let k(i) = 7*h(i) + 2*v(i). Let u(f) = f**2. What is k(u(b))?\nAnswer: -8*b**4 + 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9*b. Let f(d) = 10*d. Let a(l) = 2*f(l) - 3*j(l). Calculate a(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2 - 15*u + 13*u + (2 + 0 - 1)*(2*u - 3*u + 4*u) as s + a*u and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 25. Determine n(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*f - 41*f + 11*f**3 + 11*f + 3 + 2*f**4 in the form o*f**3 + l*f + k*f**2 + a*f**4 + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*((-2*(sqrt(7) + 0 + -1 + sqrt(7)))**2 - ((sqrt(7) - ((sqrt(35) + sqrt(140)\/sqrt(4))\/sqrt(5))**2) + -1)).\nAnswer: -430 + 51*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p + 4. Let l(k) = 19*k - 9. Let y(b) = 2*l(b) + 5*v(b). Let f(h) = h. What is y(f(x))?\nAnswer: -7*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 + 5)*(158*z - 46*z + 2*z**2 + 133*z) to d + f*z**2 + u*z and give u.\nAnswer: 1960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 798907 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -847 by -77.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-392) - 452\/140.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -234070, -468188, -702360, -936580, -1170842?\n\"Answer: v**3 - 33*v**2 - 234026*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -309453 divided by 103151?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 624 (base 9) to base 11\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -503*v - 31. Let y(t) = 126*t + 8. Let o(r) = -2*q(r) - 9*y(r). Let m be o(-3). Suppose 0 = -5*c + m + 226. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 13) to base 16\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20480 = 11*g + 21*g. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10006481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8419)\/(-10) - (-17)\/170.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*m**5*p + 418*m**4*p + m**2*p + m*p + 1889*p wrt m?\nAnswer: -360*m**2*p + 10032*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 16 = 5*f, 4*q + 0*q + 4 = 5*f. Suppose -q*b - 15 = -67. Suppose -d = -0*d - b. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7.444 and -5.\nAnswer: 2.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -228, -371, -552, -783, -1076, -1443?\nAnswer: -1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 3177*b**2 - 3364443*b - 1187648379.\nAnswer: -(b + 1059)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -9*b + 3. Let o be g(-2). Let y = o + -5. Let f = -159 + 303. What is the greatest common factor of y and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = 2*x. Let n be x - (-1)\/(0 - 1). Is n smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 2. Let k be (3 + 2)\/10*(-20)\/(-2). What is m(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13224708 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, 3, -0.356, -5?\nAnswer: -0.356","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = 8*p, g + 4427*p - 2212*p + 98 = 2213*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 4*r - 11. Is d(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 1137*u - 35 = 1139*u, -2*w - 2*u = 26 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhha when four letters picked without replacement from ahaaahahaahahaaaaaa.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -10 + -14 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x - 140 = 0. Let k = -18 - -13. Let q(d) = -d**3 - 3*d**2 + 3*d - 20. Calculate the remainder when x is divided by q(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1055.4 rounded to the nearest ten?\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/((-2)\/(1 - 0)). Suppose -3*y + x = -2. Solve -h + y*b = 6, -4*b + 30 = 5*h + b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 21*g**2 + 1. Let r(x) = 4*x**2. Let k(m) = -11*r(m) + 2*u(m). Determine t so that k(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 18 = -0. Suppose 4 = 7*j - l*j. Solve s = j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 3*q**2 - q**2 + 11*q**3 + 22*q - 24*q + 5. Is b(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -21 - (1 + (-5 - -23) - -16).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -166.32 + -10.6?\nAnswer: -176.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -6*u + 4*u + 14, -3*u + 17 = c. Suppose 0 = -4*a + c + 46. What is the highest common divisor of a and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**2 + 17306*v. Let j(f) = 30*f - 2. Calculate g(j(a)).\nAnswer: 8100*a**2 + 518100*a - 34576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (-6 - -35)) + 7 + -1 + -13?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1652846 to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -7. Let w(d) = 2*d**2 - 7*d + 11. Let o be w(i). Suppose 9*q - o*q = 37. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002789 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -20. Let j be (-5)\/(o\/66) - -2. Let p = j + -16. Solve 0 = 7*v - 3*v - p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389653914?\nAnswer: 2, 3, 13, 41, 121843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1061985 divided by 212397\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 5, v: 2, o: 1, u: 2, s: 5}. What is prob of picking 1 o, 1 a, and 1 v?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -285 + 683. Let z = k - 147. List the prime factors of z.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2483 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29105 - 75307. Is 6\/9 + n\/(-36) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhhh. What is prob of picking 2 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2. Let f(u) = -11*u**2 - 2*u - 6. Let q(t) = 12*t**2 - 2*t - 1. Let i(j) = -f(j) + q(j). Give w(i(o)).\nAnswer: -2116*o**4 - 920*o**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/6728968 and -139\/30280356.\nAnswer: 60560712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-3675\nAnswer: -367.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3642.\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/5 + 192*m**3\/5 + 2016*m**2\/5 + 1536*m + 9984\/5.\nAnswer: 3*(m + 4)**3*(m + 52)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -372671 - -372674. Find c such that -3 - 7\/3*c**2 - 5*c - 1\/3*c**l = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 - -106. Let k = -2\/51 - -67\/408. Let i = 2.1 - 0.1. Which is the closest to q? (a) -3 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -178*204\nAnswer: -36312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160719.6um to centimeters.\nAnswer: 16.07196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 647561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5959400617.99999969 - 5959400564. Let l = -53.879 - 0.121. Let i = l + b. Round i to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1185?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**5\/180 + 43*u**4\/72 + 14*u**3 + 3*u**2 + 196*u + 2. Factor a(p).\nAnswer: (p + 7)*(p + 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.8 - -33. Let i = p + 24.8. Let o = 22.25 - i. Round o to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h + 3. Let s(w) = 7*w - 6. Let v(a) = 9*n(a) + 4*s(a). Let o be v(5). Suppose -2*g - o = -60. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -389780, -7.5, -0.3 in increasing order.\nAnswer: -389780, -7.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -46*w + 47*w. Suppose -l - 5*z + 21 = 0, -29 = 4*l - w*z - 90. Calculate the remainder when 28 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.443331us to nanoseconds.\nAnswer: 443.331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57484748 to the power of 1\/3, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 38*p**4 - 3*p**3 - 3*p**2 - 37. Let o(b) = b**2 - 2*b**2 - 4 - b**4 - b**3 + 3. Let f(r) = 3*o(r) - x(r). What is the derivative of f(i) wrt i?\nAnswer: -164*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002213 to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152124237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42332651 - -106?\nAnswer: -42332543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*u - 6*u + 12, b - 8 = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866913 to the power of 1\/2, to the nearest integer?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 - -0.6. Let s = -1.9425 + -0.0575. Let o = 0 + -0.5. Which is the biggest value? (a) o (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**4 + 1110*p**3 - 25725*p**2 + 48140*p - 23520 = 0.\nAnswer: 1, 24, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9\/20108?\nAnswer: 9\/20108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1 (c) 7 (d) -2 (e) 1\/4 (f) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16716*y - 40958.\nAnswer: -16716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v**3 + 2*v**2 - v + 2. Let m(z) = -17*z**3 - 5*z**2 + 1268*z - 2535*z + 12*z**2 + 1264*z + 7. What is 14*h(q) - 4*m(q)?\nAnswer: -16*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 399627*d*m**6 - 3694*d*m**2 + 79511*d - 601*m**6 wrt m?\nAnswer: 47955240*d*m**3 - 72120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*((c\/(c**(-2\/7)*c))\/c)\/c*c))**(3\/22)\/(c**(1\/3)*c\/(c**(-2\/17)\/c)*c) assuming c is positive.\nAnswer: c**(-26339\/7854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -101, -89, -77, -65?\n\"Answer: 12*j - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*g = 73*g + 1130. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2. Let z(q) = -10*q**2 - 1670733. Determine z(t(w)).\nAnswer: -10*w**4 - 1670733","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 247898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -5457?\nAnswer: 5457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1204)\/(-10) - (37*(-7)\/(-210) - (-435)\/(-522))?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k + 70. Let m(t) = -t**2 - 15*t + 38. Let d be m(-17). Let n(u) = k*u + 3*u - d*u. Let f(g) = g**2. Give n(f(c)).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 102.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 908 - 867. Solve g - 2*u + h = 36, -4*g + 3*u = 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4 - 3\/2. Let s be -4 - b*1\/2. Let x be ((-15)\/(-12))\/(1\/s). What is the third biggest value in -0.1, x, 2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7112, -7110, -7108, -7106?\n\"Answer: 2*a - 7114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b - b)*(1 + 3 - 1)*(5*b - 2*b + 0*b) + 240*b**2 - 1749*b + 1749*b - 1.\nAnswer: 249*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*z**2 + 2 - 17*z**2 - 5*z - 3*z**2 - z**3 - 3 - z**4 as n + m*z**4 + f*z**3 + s*z + q*z**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/3)\/(-2 - 1085\/(-546)). Suppose 2*d = 3*i - 0*d - 8, 0 = i + 4*d - q. Solve -4*r - i = -2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbbbbbbbubbbb. Give prob of sequence bb.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 143922641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1666, 4642, 9602, 16546, 25474?\nAnswer: 36386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2\/15 - 524*z\/15 - 174\/5 = 0.\nAnswer: -261, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1715216 less than 366.1459?\nAnswer: 1715582.1459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 41*d - 46*d. Let o be 1 - 1 - (-9 + -3). Let w = 5 + o. Solve -4*n + 3 = 3*i, -5*n = d*i - w + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2021, -20\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437321189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - p - 14*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -11*i**2 + 21*i + 5. Let v(t) = -5*t**2 + 11*t + 2. Let w be (2\/6)\/((-2)\/(-36)). Let k(z) = w*q(z) - 13*v(z). What is the units digit of k(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -11*q**4\/12 - 5*q**3\/6 - 5*q**2\/2 - 73*q. Let d(k) = 54*k**2 + 24*k + 24. Give 5*d(w) + 24*v(w).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25371287 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*k**2 + 134*k**2 + 140*k**2 + 123*k**2 + 2390*k**3.\nAnswer: 2390*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 2, 7, 56, 0, 10 in ascending order.\nAnswer: -3, 0, 2, 4, 7, 10, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27140181 or 27140183?\nAnswer: 27140181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 7933.\nAnswer: -6\/7933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c7 + 4c02?\nAnswer: 50c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44205436 + 26?\nAnswer: -44205410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010010100 + -10?\nAnswer: 110010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 44*d**2 + 4*d. Let k(o) = -94565*o - 1. Determine k(y(j)).\nAnswer: -4160860*j**2 - 378260*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 17 = -3*d - 2*g, 5*d = -3*g - 21. Let y = -5 + 7. What is the smallest value in y, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-42))\/(1295\/259)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - 12. Determine w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 451 by 5.\nAnswer: 451\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1853214 (base 9) to base 12.\nAnswer: 421334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l = -51*l + 2015. Calculate the remainder when l is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.1 (b) -1\/5 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 307*6.\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3974 + 3999. Put 5, q, 4, -9 in increasing order.\nAnswer: -9, 4, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**(-33)*y)\/y)\/y)\/(y**(-9\/2)*y)*y\/(y*y**(-1\/16))*(y\/(y**(-8)*y*y))\/y assuming y is positive.\nAnswer: y**(697\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2.2. Let d = -174 + 194. Suppose 0 = -d*m + 264 - 244. Sort 2\/11, i, m, 0.3.\nAnswer: 2\/11, i, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -204016, -204005, -203986, -203959?\n\"Answer: 4*y**2 - y - 204019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38\/11 - -391\/110. Let q = -920312 + 8282809\/9. Let t = -1\/17 - -37\/51. Put w, t, q, 6 in decreasing order.\nAnswer: 6, t, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8316 times -0.1\nAnswer: 0.18316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5*s = -5, 11*s - 48*s + 40*s - 12 = 12*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107 (base 10) to base 13.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*h - 690 = -389*h for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 13*a - 46. Let g be c(-16). Let z(n) = -3*n**2 + 0*n**2 + 6*n**2 - 2*n**g. Let k(b) = 24*b**2 + b. Give z(k(q)).\nAnswer: 576*q**4 + 48*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 25. Let t = 234.1 + -223. Let u = t + r. Put 3, 1, u in ascending order.\nAnswer: u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 71.6.\nAnswer: -5.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57*g**4 + 14*g - 67 wrt g?\nAnswer: -228*g**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((4*sqrt(256) - sqrt(256))*6 - sqrt(256) - sqrt(256)))\/(-5*(1*sqrt(2)*-1 - sqrt(200)\/sqrt(4))).\nAnswer: -128*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g - 0*g. Let a be 6\/48 + 975\/(-1080). Sort a, g, -0.1 in decreasing order.\nAnswer: g, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 - -750*(-82)\/820.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 185.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8731?\nAnswer: 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 2*z + 10. Let v be o(4). Let a = 140 + v. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 200*q**3 - q**2 - 3*q + 10. Let k be z(-5). What is k rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 6. Let q(d) = 2*d + 5. Let w = 21 - 17. Give w*v(b) - 5*q(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912361 is divided by 211.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 14. Suppose 0 = -6*d + d + m. Suppose 0 = -d*t + 6*t - 8. Solve j - k = -4*k - 5, j + t = -2*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 7*m**2 - 1 - m**2 + 1 + (-m + 2 - 2)*(-3*m + 5*m - m))*(30 + 24 + 18)*(-2 - m + 2).\nAnswer: 648*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 444 + -441. Solve -2*p = 4*o + 30, o - a*p = -0*p + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4236 at most as big as 251\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-15))\/((-2656)\/240 + 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-15)*198\/220\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + 5)**2 + (-1 + sqrt(7) + 3)**2 + -3 + (-5 + (sqrt(448) - (sqrt(448)*-1 - sqrt(448))))**2 + -2 + -1*sqrt(448) + sqrt(448).\nAnswer: -226*sqrt(7) + 4095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1493 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 0.03, 357.9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 710532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-896)\/(-91) - ((-380)\/(-57))\/(4 - 10\/3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2\/15, -3.1, -3, 68?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2962*h + 35534. Give c(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*i - 4. Let u be (7\/(-14))\/(2\/(-568)). Suppose -39 = -2*x - i*m + 17, 3*m = -5*x + u. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33522.77 decades to months.\nAnswer: 4022732.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/14 + (-16)\/(-56). Solve r*f - 2*v = -3*v + 13, 1 = -f + v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -88485, -88504, -88523, -88542, -88561?\n\"Answer: -19*d - 88466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2139*w - 12 = 2137*w, -5*w = -2*h - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from xffvlvbfflvxdlx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*x = -43, 2*i - 157*x - 30 = -159*x. Solve i*u - 96 = 10*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4026265.72 to the nearest 100000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2 - 76824*v + 7923481 = 0.\nAnswer: -76927, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - -6 - 1023\/(-11). Solve -103*g + i*g + 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -75. Suppose -2*n + m = 3*p, -3*n - 5*p = -3*p - 68. What is the highest common factor of 48 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + n**2 + 0 - 2*n**2 - 2*n + 2*n + (-2*n + n + 3*n)*(-n - n + 0*n) + 4*n**2 + 15 + 5*n + 61 - 73.\nAnswer: -n**2 + 5*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 531120151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 2*p**2 + 23*p - 61. Let u(o) = 8*o**3 + 5*o**2 - 6*o. Let m be u(1). Let f be h(m). What is the highest common factor of 86 and f?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2902 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -2*z, 3*z = 402*k - 397*k + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**3 - 13008*a**2 + 2972244*a - 176277640 = 0.\nAnswer: 121, 3010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (7 + -3 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.47 - 31.53. Let i = d + 32.00059. What is i rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 9) to base 12.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*p - 1939 + 2819 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021 is divided by 467.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97711.31 centuries to months.\nAnswer: 117253572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 723 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 4*i - 3. Let o be f(5). Let m = o - -4. Suppose -3*t = -4*d + 25, -3*d = -3*t + 5*t - 6. Put 4, m, t in decreasing order.\nAnswer: 4, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(352) - sqrt(22)) + -2*sqrt(792))\/((sqrt(99)*1 + sqrt(99))*2) + 4.\nAnswer: -17*sqrt(2)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6035*x**3 - 3*x**2 - 60*x + 162. Let h be d(7). Round h to the nearest 10000.\nAnswer: 2070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 92*x - 73*x. Is x bigger than -3\/4295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7887487*m - 6308451.\nAnswer: 7887487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 + 48.\nAnswer: 47.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 8*m + 24. Let y = 47 - m. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*5\/(3\/6*4400\/(-176)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((44\/11)\/(-4))\/(2\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - sqrt(7))*4)**2 + -4.\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8 = 7. Suppose -r*v - 6 = 3*o, -v + 4*v - 6 = 3*o. What are the prime factors of v + 7*(-1)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = v + 20. Let f = -85 + v. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39 - (46 - (87 + -1))) + 20\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Let z(n) = -n**r + 2*n**2 + n**2. Let s(c) be the third derivative of c**5\/30 - 2*c**2. What is s(z(u))?\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/2818 and 15\/22?\nAnswer: 30998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 61299.1558 to the nearest ten.\nAnswer: 61300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 + 2575*o**3 + 26125*o**2 + 65625*o.\nAnswer: -5*o*(o - 525)*(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18 and 47.6044716.\nAnswer: 65.6044716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30811301 is divided by 885.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - t)*(5 - 6 + 4943*t - 7493*t) to d + z*t**2 + s*t and give z.\nAnswer: 2550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101100101 (base 2) in base 14?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, 29, 66, 119, 188?\n\"Answer: 8*y**2 - 3*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1*sqrt(405) + 3)**2 - sqrt(405))*-6.\nAnswer: -2485 - 270*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336880, 1347534, 3031958, 5390152, 8422116?\nAnswer: 12127850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t + 2. Let j(y) = 58*y + 30. Determine 3*j(l) - 42*k(l).\nAnswer: 6*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -395 - -422. Is 2 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2 - 10680*f + 21344 = 0. What is f?\nAnswer: 2, 2668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76342 and 476?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*l**3 + 299*l**3 + 217*l**3.\nAnswer: 679*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 394201 from 1.\nAnswer: -394200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.32 + -4.75. Round i to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -947?\nAnswer: -2\/947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2789959 is divided by 7584.\nAnswer: 6631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 9) to base 13.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -862551\/66742 + 3\/5134. Let x = -1045\/104 - p. Calculate the common denominator of 1\/12 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5025332 divided by 96641\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 k when three letters picked without replacement from {l: 11, k: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1000001110011000?\nAnswer: 1000001110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -114? (a) 24 (b) -57182 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1)*(-4 + 1). Suppose -i = 3*v + 6, -4*i - 4*v = -i + q. Suppose m + i*m = 3*d + 17, -3*m + 4*d + 18 = 0. Is m greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6888 and 56498246?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*h - 2*h - 5*b, 4*h + 2*b = 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41 * 44.446.\nAnswer: 1822.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 766672 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.452135782 to two decimal places.\nAnswer: 5.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -621*w - 1238. Let a be x(-2). Solve -a*c + 24 = 2*t, 14 = -5*t + 2*c - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 1:01 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2666 is divided by 107.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26269995?\nAnswer: 3, 5, 1751333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1909 = -3*g + 10*y - 5*y, 3*g - 1893 = -3*y. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2519*c + 2520*c - 2 = -t, 0 = -2*t - 3*c + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32056*g**2 - 1727*g**2 - 297620*g**2 - 191884*g**2.\nAnswer: -459175*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 62*v**2 - 13*v + 34. Let t be (-78)\/(-81)*3 - 1\/(-9). What is the tens digit of d(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.622068cm in kilometers?\nAnswer: 0.00009622068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*g + 23 - 41 = -0*g - 55, 3*o - 59*g = 151 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/((-14280)\/153)*(38\/30 + -1)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 + 49328*o**2\/3 + 82203*o - 98646.\nAnswer: (o - 1)*(o + 6)*(o + 49323)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 50 = -5*h, 3*h = o + 2*o - 18. Let a be (-510)\/(-4)*o\/10. Suppose -128 = -5*g + a. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110 (base 2) to base 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t + 6*t - 2*t)*(0*t - t**2 + 0*t) + (6*t - 4*t - 3*t)*(-t + t + 2*t**2) - 3 + 3 - 2*t**3 as f*t**2 + i*t + j + l*t**3 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*i + 326927 - 2273 = 0, 0 = -4*f + i + 649290. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*z - 21*z = -7*z + 335 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 358.3285us?\nAnswer: 358328.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3135581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, -0.2, -20?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(0 + (-2)\/(-4)). Let f(l) be the first derivative of l**4\/4 - l**3 - 3*l**2\/2 - 2*l - 5. Let m(a) = a**3 - 2*a**2 - 2*a - 1. Give b*f(j) + 3*m(j).\nAnswer: j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 3. Let s(t) = t**3 - 4*t**2 + 4*t. Let c be s(3). Suppose -c = -i + 2. Suppose 2*b = -i + 1. Calculate d(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10127 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63521 - 44824. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 76 - 86 = z, -8 = 4*z - 12*w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z + 3*z + 4*z + 3*z.\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17157 divided by 3011.\nAnswer: -17157\/3011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 12*i**2 + 25*i - 24. What is s(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*c = 148, 161 = 3*a + c - 227. Suppose 45*z - 42*z = 78. What is the remainder when a is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (313\/975)\/((-9)\/(-81)) - 4. Let j = -22\/25 - q. Let x = 0.8 - -0.2. Is j < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 6367*s + 3286015. Determine y(-648).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Let w(a) = -a**2 - 5*a - 3. Let j be w(-4). Let u be (j - -3)*2\/t. Solve 0*s - u*s - 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 138\/621 - (-14)\/18. Which is the smallest value? (a) -116 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*-2*sqrt(1700) + -2.\nAnswer: -2 + 400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/10 - 12634*l**3\/5 + 1175361*l**2 - 34919658*l\/5 + 20883555\/2 = 0. Calculate l.\nAnswer: -25725, 3, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t + 15. Let k(d) = -d - 8. Let h(y) = -11*k(y) - 6*p(y). Calculate the remainder when 4 is divided by h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58.095152 - 787\nAnswer: -845.095152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 1) + 3 + (-369)\/45. Let n = -0.06 - 0.34. Which is the closest to 1? (a) n (b) i (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 - -202. Suppose 0 = -5*a - 0*a + u. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11746021?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-32 + (66 - 31) - (6 + -2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -137805545 less than 13152?\nAnswer: 137818697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*o**(-1)*o*o)*o\/(o*o*o**6))\/(o**(-1\/12)\/((o\/(o*o*o**(3\/8)))\/o)))**(-2\/5))**(-3\/20) assuming o is positive.\nAnswer: o**(-271\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from poqqrr. What is prob of picking 1 o, 2 q, and 1 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31854.29ng to micrograms.\nAnswer: 31.85429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, h: 8}. What is prob of sequence jj?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -273, -1.5, -0.4, -5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29, 78, 153, 266, 429, 654, 953?\n\"Answer: 2*c**3 + c**2 + 32*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45*(-34 + 4))\/((-3)\/(-106)). What is d rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17009 - 44426 = 741*u for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-460)\/(-2415))\/((-2)\/(-7))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 20*i**2 - i + 1. Let k be b(-2). Suppose 0 = r - k + 6. Calculate the highest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -527 - 11?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 291900 and 97300.\nAnswer: 291900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4014 (base 9) in base 16?\nAnswer: b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**4\/12 - 2*p**3\/3 - 7*p**2\/2 + 19*p - 1. Let v(q) be the first derivative of n(q). Determine v(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {k: 2, b: 2, w: 2, m: 3, u: 2, h: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**6\/780 - o**5\/130 - o**4\/78 + 26*o**2. Solve n(y) = 0 for y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 15) to base 12\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/111 + (-1)\/(-3). Let o(f) = -2*f**3 - 82*f**2 - 231*f - 115. Let b be o(-38). Which is smaller: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/6*(-4)\/5*3. Suppose 5*s - c*s + 35 = -2*o, 3*s + o = -40. Let w = s + 54. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 80 + 40. Suppose -7*f + 8770 = -n*f. Round f to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 165*s**2 - 5*s - 1 + 5*s**4 - 2*s**3 + 0*s**3 - 2*s**4 + 164*s**2 to p*s**4 + f*s**2 + x*s**3 + v + c*s and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 + (-4 - -3) - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -4*f**2 + 0*f + 0 + 0*f**4 - 2*f**3 + 1\/20*f**5. Suppose g(t) = 0. What is t?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29161 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4625 is divided by 422?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 4*v + 4 = 14*h, h - v = 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 91688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 12 + 4, -4*w + 3*x = -154. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -2\/23 (c) 1\/62 (d) 0 (e) -1462\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4.5. Let v = 0.003 - -0.097. Which is the third smallest value? (a) 0.2 (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 7 - 27 = -3*o, 4*o - 32 = -4*a. What are the prime factors of (-4)\/o - 117\/(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10343?\nAnswer: 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1218)\/(-56))\/29)\/(-4*(-2)\/24)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5452738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 2 (c) 1\/3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*m = 3, -3*m = -3*z - 2*m + 1. Suppose z = -5*j - 20, -2*j = -4*w - 3*j - 12. What is the remainder when 5 is divided by (-66)\/(-15) + w\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - o + o)*(-3 + 0 - 1)*((-17 + 10 + 10)*(-4 + 1 - 3) - 3 + 3 + 2 + (0 + 1 - 2)*(0 + 5 - 3)).\nAnswer: -144*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/112184 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3435 - 0.0485. Let n = j - -0.858. What is n rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Suppose -35 = 216*o - 582 - 317. Factor -13\/9*m**3 - 10\/3*m**f - 4\/9*m**5 - m + 20\/9*m**o + 0.\nAnswer: -m*(m - 3)**2*(2*m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332229986.69 + 2?\nAnswer: 332229988.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1708)\/4697)\/(2\/(-22)). Which is the biggest value? (a) l (b) -0.05 (c) -14\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2189521.\nAnswer: 2189521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/27621 in 1, -7, 16, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40340 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10}. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(-1 + sqrt(1088))**2 + 2*sqrt(1088) + 1 + 4.\nAnswer: -5437 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 16, 110, -24, 0.5 in descending order.\nAnswer: 110, 16, 0.5, -0.4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2. Let h(r) = -2*r**2 + 3836. Determine h(u(p)).\nAnswer: -32*p**4 + 3836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7398 and 44086326.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -339*c**3 - 9*c**2 + 7*c + 17. What is f(-1)?\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuui when four letters picked without replacement from {i: 3, u: 8}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(416) - sqrt(416) - sqrt(416))\/sqrt(2) - (sqrt(832) + -1 + 2))**2 + 3.\nAnswer: 8*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7*(6\/(-3) + 3)*24\/(-84)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 v when three letters picked without replacement from cssyysccvsz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260 by -65.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(1\/12*2). Find the common denominator of (3\/(-6))\/(x\/182) and -47*6\/(5 + 109).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 56751, 113426, 170101, 226776?\n\"Answer: 56675*g + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599*v + 348040 = -591*v. List the prime factors of v.\nAnswer: 5, 7, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 1141741.\nAnswer: 1141740.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-9) + 16\/6. Let k(a) be the second derivative of 7*a**3 - a**2\/2 - 794*a. Let x be k(n). What is x rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 + 26. Let c = 75 + a. Let j = -22.999935 + c. Round j to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(78\/(-4))*-1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {b: 1, k: 2, c: 11}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**2 + 280*d - 276 = 0.\nAnswer: 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1176 and 1911.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2465357 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**5\/40 + u**3\/3 - 1. Let s(d) be the third derivative of o(d). Let v(h) = h. Give v(s(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from rehex?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*17\/((-1836)\/(-8))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-610)\/(-68) - (-20)\/680?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.5, 8\/7, 108995, -4\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5572 - 5452. What is the smallest common multiple of 400 and s?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 5:04 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 3:32 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1890 divided by 30\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, 3, 2546\/17, 0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*4*(3*sqrt(448)*3 + 3 + -5))**2.\nAnswer: -5226048 + 41472*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -9. Calculate the lowest common multiple of 3\/((-9)\/b) - -2 and 2\/8 - 7\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x - 1\/3*x**3 - x**4 + 1\/2*x**2 - 2. Suppose 0*s - s + 1 = 0. Calculate r(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-8 + (-16 + 2 - -14) - -48)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 86*p - 901 + 1813 - 914. What is o(-1)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a (base 12) to base 7.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.1 - -35. Let q = -2.1042 - n. What is q rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54\/11 in 0.01, 5, -2\/39, -3, -4\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -616 + 1615. Suppose z + u = 10*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -715, -781, -883, -1021, -1195, -1405, -1651?\n\"Answer: -18*w**2 - 12*w - 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 9156*h - 9124*h)*(5 - 2*h - 5).\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -40099b?\nAnswer: 40099b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 6*k + 2. Let s be a(-7). Let l(i) = -11*i + 2. Let z(c) = 12*c - 2. Let y(j) = -3*l(j) - 2*z(j). What is the tens digit of y(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*k - 770 = 620. Which is the second smallest value? (a) -1\/38 (b) -0.06 (c) k (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + z**2 + z - 1. Let u be b(1). Let m(v) = -v**u + 2 + v - 2. Let o be 18\/14 + 2\/(-7). Give m(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-160)*(-4)\/((-2)\/(-1)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 + (-112 - -15 - -25)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 3*v**2\/2 - 10. Let b(w) = 3*w**2 + 4*w - 129. Let l(j) = j**2 + 2*j + 2. Let d(r) = b(r) - 2*l(r). Calculate d(a(f)).\nAnswer: 9*f**2 - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 3*f + 2. Let a be q(2). Let o = a + -13. Let j(y) = 7*y + 7*y + o*y - 18*y + 6. Let n(c) = -3*c - 5. Determine 4*j(b) + 5*n(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*l**2 - l + l - 3383*l**3 + 2*l**2 + 3347*l**3 as g*l + y*l**2 + b*l**3 + a and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*j*k**4 + 16*j*k**2 + 4*j*k - 3*k**4 + 4*k**3 wrt k.\nAnswer: 216*j*k - 72*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 205813183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**6\/150 - v**5\/100 - v**4\/20 + v**3\/30 + v**2\/5 + 5*v. Suppose s(h) = 0. Calculate h.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * -0.06.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11441*v - 11485*v - 11493*v - 3*v**2 + 45910*v - 11491*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -94*u**2\/3 - 72352*u\/3 + 31354 = 0.\nAnswer: -771, 61\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 20 + 10. Suppose u*j = 3*f + 13 - 0, -5*j + 4*f + 29 = 0. Let k = 6 + -4. Solve -k*h = -2*x + 3*h - 5, -4*x + 5*h = -j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 13*b + 4*b**2 + 3*b.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, f: 4, s: 7}. Give prob of picking 1 f and 1 a.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*y - 36 + 25\/4*y**3 - 40*y**2 = 0.\nAnswer: 6\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32105*l**2 + 166249*l wrt l?\nAnswer: -64210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*m - 7 = 3, -5*r + 5*m = 0. Suppose 0 = t - 2*t - 1, r*t = -2*p - 3. Which is greater: p or -3\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 27*g**2 + 19. Determine f(-27).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + -148*(-8 + 7) + -3. Calculate the highest common factor of 139 and d.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3291418.51 rounded to the nearest 1000?\nAnswer: 3291000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/2 and 1\/3568.\nAnswer: 3568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4052*r + 3 - 15*r**2 - 3 + 4052*r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/5 and (-214)\/(-20) + (-3)\/30*-2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - y + 68 + 0*y + 3*y - 100.\nAnswer: y - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 7. Suppose 3*z = 4*y - 16, -2*z - 2*y = -3*z - 8. Let w(p) = 15*p**3 + 5*p - 16*p**3 + z + 3 - 2*p**2. Calculate w(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 2*o + 1. Let z(k) be the second derivative of k**4\/4 + 5*k**3\/6 + k**2 - 606*k. Determine 5*x(m) - 3*z(m).\nAnswer: m**2 - 5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4, 28416?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 + 11 - -7) + (-34 - -8)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13469 - 202?\nAnswer: -13671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5128331 divided by -394487?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - 704 + 352 - 423*c**2 + 352 - 35*c**2 in the form i + n*c**2 + a*c and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4845803 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, b: 2, m: 2, a: 1, o: 1, t: 4}. Give prob of sequence to.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42065*d**2 + 14*d + 5497483 wrt d?\nAnswer: 84130*d + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 + -0.2. Let a = -833 - -837. What is the closest to -1 in -5\/4, u, a?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.24718, 3, 13 in decreasing order.\nAnswer: 13, 4, 3, 0.24718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -13*q**9\/504 - 13*q**5\/60 + 11*q**2. Find the third derivative of a(g) wrt g.\nAnswer: -1560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u + 32. Let t be m(10). Let y(q) = -3*q**2 + 3*q - 12. Let w be y(4). Do t and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 21 and 18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23262?\nAnswer: 2, 3, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2 (b) 1697 (c) 5\/3 (d) -34 (e) 1 (f) -18 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120577*x**2 - 120577*x**2 - 2*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 197 + -783\/4. Which is the third smallest value? (a) 0 (b) o (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(24)\/sqrt(3) + sqrt(2) - sqrt(2)))\/(sqrt(500) + -6*((-2*sqrt(500) - sqrt(500)) + sqrt(500))))**2.\nAnswer: 1\/33800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 132 - 140 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 20752*d**2 - 4*d. Let b(t) = -t. Calculate i(b(x)).\nAnswer: 20752*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1746460, -3492914, -5239344, -6985738, -8732084, -10478370, -12224584?\nAnswer: -13970714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: 1005388 (base 9) to base 13\nAnswer: 159914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, d: 1, c: 1, l: 2, t: 1}. Give prob of picking 1 d and 2 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 15, r: 5}. Give prob of picking 1 f and 1 r.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116394 and 3762?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j + j. Suppose 21 = -4*w + 4*v - 7, -4*v + 7 = 3*w. Let m = w + 3. Solve j*l + m = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 3:54 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.5 - -27. Which is the closest to 2? (a) d (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 301 + -3676?\nAnswer: -3375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 - 2 - 7 + 18 - 8 in the form r + f*v + x*v**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t + 5*t + 3 - 2 + 0*t. Let n(u) = u**2 - 6*u + 2. Let b(l) = -2*a(l) - n(l). Solve b(v) = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0168 * 446790.\nAnswer: 7506.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 0.1 (b) 1 (c) -0.056\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**2 - 2*g - 2. Give z(3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 3*h - 3 = 0, -2*q - 3 - 9 = 4*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 683 divide 622124210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q - 9. Let a(z) = 8*z**2 - 1. List the prime factors of a(q).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137986520?\nAnswer: 2, 5, 7, 461, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x*x*x**(2\/41))*x)*x)\/(x\/(x\/x**(-1\/2))) assuming x is positive.\nAnswer: x**(291\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 3:07 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 493721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 425*j = 429*j + 9629, 4*j = 16. What are the prime factors of l?\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2288)\/(-572) - (1 + -14427). Round q to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/97, 1, 99586, -1\/5 in ascending order.\nAnswer: -1\/5, 1\/97, 1, 99586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-160*k - 55*k - 1 + 1 + 0)*(-29*k - 66*k + 24*k) to the form z + a*k**2 + p*k and give a.\nAnswer: 15265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(70\/(-49)) + (-3 - (-57)\/(-66))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 9*p**2 + 10*p + 6. Let o(b) = -b**3 - 20*b**2 - 2*b - 30. Let u be o(-20). What is the least common multiple of 15 and f(u)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -76034*x. Let l(j) = -4*j. Calculate v(l(k)).\nAnswer: 304136*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {y: 3, u: 5, q: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.26+-0.073287\nAnswer: -0.333287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a + 40 = 0. Suppose 2*b - a = -2*q - b, -5*q - 5*b + 25 = 0. Suppose q*z - 15 = 2*z, 5*n - z = 40. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4 + 12*c - c + 2 + c**2. What is the units digit of m(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -195365.186 to the nearest one thousand.\nAnswer: -195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 k when three letters picked without replacement from {w: 1, k: 5, x: 12}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 204 - 200. Suppose -p*z + 1295 = 5*n, 6*z - 10*z = -3*n + 809. Calculate the remainder when n is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 5*d - 20. Let q be o(-9). Find the common denominator of (-766)\/336 - q\/(-28) and 107\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435660?\nAnswer: 2, 5, 23, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -125541 divided by -3393?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 117*u - 121*u - 124, u = p - 33. Let f(d) = -10*d - 315. What is f(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 61*o**4\/4 + 4*o**3\/3 + 3*o**2\/2 + 7*o - 227. Is c(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34636288 to the power of 1\/2, to the nearest integer?\nAnswer: 5885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/2 + 15*u + 28 = 0. Calculate u.\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 1, 3, -63 in descending order.\nAnswer: 5, 3, 2, 1, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4 - 3 + 0*i**2 + i + 3*i**2. Let u be l(-1). Suppose -50 = -4*c - c + u*d, 0 = -4*d + 20. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*d + 27157 = b, 0 = b - 5*d + 9041. Let z = -5212 - b. Suppose 0 = 4*q + f - z, 2*q - 4*q - 4*f = -1930. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*sqrt(84) - sqrt(84))*-4 + (sqrt(84) - (sqrt(84) + (sqrt(84) - (2*sqrt(84)*3 - sqrt(84))) + sqrt(84))))\/(6*sqrt(192)*-1*-2).\nAnswer: 5*sqrt(7)\/16 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/60 - 64\/30. Is 8 a factor of (c + (-8)\/(-10))\/(6\/(-160))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 2, 1, -1, 7 in ascending order.\nAnswer: -1, 1, 2, 7, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 486, 80, -596, -1542, -2758?\nAnswer: -4244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3985050 by -128550.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2460960 is divided by 2588.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 85\/(-34)*(-3)\/((-6)\/(-4)). Suppose 369 = 3*q - 2*x, 0 = -5*q - x + g*x + 615. List the prime factors of q.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u - 130. Let q be k(-14). Let p(g) = -13*g**2 + 129*g + 10. Let f be p(q). What is the third biggest value in f, 0.3, 2\/5, -2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -20*y**2 - 2*y - 14. Let t be n(-7). What is t rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 4:41 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -11671\nAnswer: 34\/11671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s. Let t(x) = 5*x**3 + 44*x**2 - 2. What is d(k) + t(k)?\nAnswer: 4*k**3 + 44*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1690, -3, 68, -2 in increasing order.\nAnswer: -1690, -3, -2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.721 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -7688475 (b) 0.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7 + 2\/7*x**3 + 10\/7*x**2 - 2\/7*x.\nAnswer: 2*(x - 1)*(x + 1)*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + sqrt(39)*1*1)\/sqrt(3) - (-4*sqrt(117) - sqrt(13) - sqrt(13))*-2.\nAnswer: -26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550 and 132932822.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u**2 - u**2 - 4*u**2)*(-2 + 2 - u**2) - u + u - 2*u**4 - 47*u**4 + 17*u**4 - 23*u**4 as p*u**3 + h*u**4 + f*u + n + m*u**2 and give h.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -186, -336, -484, -630, -774?\n\"Answer: d**2 - 153*d - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -11041001?\nAnswer: -11040433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 620*b**3 - 6*b**2 - 25363*b wrt b?\nAnswer: 3720*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -423?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4.72*-0.3\nAnswer: -1.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 89. Let a be h(0). Suppose -2*g + 3*s + a = 0, -s + 0*s + 117 = 3*g. What is the remainder when g is divided by (-448)\/(-21) + 1\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -552 - -6066\/11. Let k = 0.06696 - -0.13304. Which is the fourth smallest value? (a) -4 (b) k (c) 2\/43 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5916, -5, 5, -15 in descending order.\nAnswer: 5916, 5, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29 - (-22 + 8 + 20). Let r be 1*2\/3*6. Solve 14 = -r*c - 3*s, 0 = 3*c - s - 3*s + d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. What is the third derivative of 0*a**2 + r*a**6 - 5*a**6 + a**2 wrt a?\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (14\/(-3))\/7 - 3380\/390.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -655, -653, -651?\n\"Answer: 2*z - 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 737107 by -3.\nAnswer: -737107\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9494033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -1\/3*s**3 - 1\/20*s**5 + s**2 + 0 + 13*s - 1\/3*s**4. Determine i(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*l + 224, 5*u + 4*l - 699 = 373. Suppose 0 = 7*d - 3*d - u. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 minus 296?\nAnswer: -293.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - 6.92. Let y = t - -10. Let v = y + -2.99968. Round v to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1034, -8850, -30068, -71390, -139518?\n\"Answer: -1117*c**3 + c**2 + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = x + 5*q, 2*q + 3 = 5*x - 28. Let r(j) = j. Calculate the lowest common multiple of x and r(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-7)*4\/2*(-6859)\/34295?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -315255*r**3*y**2 - 16*r*y**2 + 4240776*y**2 wrt r.\nAnswer: -945765*r**2*y**2 - 16*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(238)\/(sqrt(14)\/sqrt(2)) - ((1*sqrt(238))\/sqrt(7) - sqrt(34)))\/(sqrt(6)\/(sqrt(12)\/sqrt(4) + sqrt(3)) + (sqrt(16) - sqrt(16)*1)\/sqrt(8)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 786 divided by -452?\nAnswer: -393\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 47.11. Let p = 4 + q. Let j = p + 0.212. What is j rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 410040988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*u - 5*w - 18, -6*u + 5*u - 16605*w - 12 = -16609*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 24*c - 126. What is z(11)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2130014 (base 6) to base 5.\nAnswer: 11324421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 11*h - 8*h - 39, 0 = -5*h + 45. Which is the nearest to -9? (a) l (b) 3 (c) 5 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16907 (base 15) to base 10\nAnswer: 72907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9 + 0 - 5 + 4*x - 6. Let k be y(6). Suppose k*w - 203 = -5*m, 3*w + 2*w + m = 238. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 96 + 7*h - 16*h + 3 - 13*h + 31. Let z be m(6). What is the nearest to -1 in -11\/4, 1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w. Let i(h) be the third derivative of -7*h**4\/12 - 11*h**2. Give m(i(z)).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t - 2*t + 17*t)*(0*t + t + 0*t) to the form g + z*t**2 + b*t and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57612 and 137347008?\nAnswer: 137347008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j. Let g(l) = -2*l. What is g(n(s))?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.7 (b) 5 (c) -2 (d) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/4)\/(12\/16). Let w = -4 + v. Solve -i - w = -4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3234896?\nAnswer: 2, 7, 17, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1464, 1470, 1486, 1518, 1572, 1654?\n\"Answer: o**3 - o**2 + 2*o + 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 9*p**2 + 11*p + 42. What is the smallest common multiple of u(-8) and (24\/1)\/(3\/2)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**5 + 44*x**4 - 3224*x**3 - 36904*x**2 - 117740*x - 84100 = 0.\nAnswer: -29, -5, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/5, -2480222?\nAnswer: -2480222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeqerjeererejeuearr. Give prob of picking 2 q, 1 u, and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7821*j*k**6 - 127*j*k**5 - j*k**2 + j*k + 2*j + 2*k**2 - 435632 wrt k?\nAnswer: 938520*j*k**3 - 7620*j*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 209, 430, 749, 1172, 1705, 2354?\nAnswer: 3125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 + 3.7. Let h = 2 - -1. Which is the second biggest value? (a) -0.5 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/16 and 93\/74150.\nAnswer: 593200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(1\/7)*m)\/m))\/m*m**(-5)\/m)**(-1\/24) assuming m is positive.\nAnswer: m**(43\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 11*p. Suppose k + 7 = -3. Let x = 1 + 10. Calculate the least common multiple of x and c(k).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, -3, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -2\/15*x**3 - 2\/15*x**2 + 0*x - 17. Let p(t) = 0. What is t?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - -3.95. Let a = -6 + k. Put a, 4\/3, 4 in descending order.\nAnswer: 4, 4\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -20. Suppose 5*d - r*d = 0. Solve d*q = 4*q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50 and -918060.\nAnswer: -45903000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, k: 6, a: 1, p: 3, r: 3, i: 1}. What is prob of sequence tpa?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10919188 to the power of 1\/2, to the nearest integer?\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 10872833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -603 - -580. Which is the closest to -2\/5? (a) -5 (b) 0 (c) 1\/8 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*s + 553*s - 1064*s - 946*s + 121.\nAnswer: -2026*s + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 + 29 + 88 - 756\/33.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 1. Let y(k) = -2*k**2 + 8*k + 8. Let v be (4\/10)\/(4\/80). Let m be (-1)\/1 + (8 - v). Let h(s) = m*y(s) + 8*u(s). Solve h(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrrwwrwwrwfwwwrrrrwr. Give prob of sequence wfrr.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*i = -128*i + 10320. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -16*l**3 + 5*l**2 - 6*l + 5. Let q(g) = -g**3 + g**2 - g + 1. Give -5*q(w) + y(w).\nAnswer: -11*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 14*s - 26. Let x be t(18). Suppose 4*h - x = -3*g - 75, -2*g = -h - 86. Calculate the highest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 + 134. Let o(u) = 3176*u**2 - 3166*u**2 + n*u + 0*u. Let z(t) = -t. Calculate z(o(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6309537 - 127.\nAnswer: 6309410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**3\/8 + 111*z**2\/8 + 93*z\/2 - 60 = 0?\nAnswer: -4, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2 + 195*p - 363. What is the least common multiple of 6408 and l(37)?\nAnswer: 44856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35397 - 35337. Solve 75 + 105 = t*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g**2 - g + 4. Let b(l) = -4*l**2 - l + 1. Let n be b(1). What is the tens digit of t(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from kwkdwwdkwwwwwww.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -765552 at most as big as -765822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35421 and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -181342, 1, 3, 2 in decreasing order.\nAnswer: 3, 2, 1, -181342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*b**3 + 13*b**3 - 4*b**2 - 21*b**3 - 2*b + 4.\nAnswer: 2*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-15) - 423\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*m - 9*a + 8, -4*m = -4*a + 8. Let i be 0 - m - 3\/6. What is the nearest to 1 in i, 0.1, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.6 - 11.64. Sort k, 4, 0, 0.5 in decreasing order.\nAnswer: 4, 0.5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335639 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156919\/24 - 6534. What is the common denominator of 101\/4200 and w?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 - -1. Which is the nearest to -0.2? (a) u (b) 3\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*o + 3*o - o)*(0*o**2 + 0*o**2 - 2*o**2) + 3 + o**3 - 3)*(o - 2*o + 5*o).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399247 is divided by 48.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, k: 2}. What is prob of sequence vvkv?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 7*p - 7. Suppose -5*w - 3*s = -0*s - 45, -5*s = 0. Suppose 5*m + 4*z = -13, 0 = -z + 4*z - w. What is i(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0.31 (c) 2\/13 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005217 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 277 - 277 - 2*o. Let b be ((-8)\/(-16))\/(2\/(-8)). What is a(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or 216\/1331?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -2, 2\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 - 4 + 4 + (2 - 2 - 2)*(-7 + 6*i**2 + 7).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 549 + -533. Calculate the highest common factor of 6144 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4700222 or 4700224?\nAnswer: 4700224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 577342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-453)\/(-14949) - 43\/330.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 6*q + 2*q**2 + 2*q**2 + 4*q**2.\nAnswer: 10*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/127072 and -9\/6941.\nAnswer: 80182432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 836 - 444. Is 49 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1624\/30 + 6\/(-45). Calculate the highest common divisor of 36 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1474\/9, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5644 and 14513444?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7) - (-1 + (-52)\/(-14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207 + 8377*r - 8405*r + 100 + 107.\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -374 - -352. What is the second smallest value in p, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2. Let i(s) = 21*s - 204. Let w be i(11). Let b(p) = 201*p - 56*p + w*p. Calculate b(l(n)).\nAnswer: -172*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 12. Let b be i(0). Suppose n = h - 11, -5*n = 4*h + 43 + b. Let x = n - -19. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39695*u - 20811 wrt u.\nAnswer: 39695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 1. Let g(m) = -35*m - 20. Determine g(a) - 20*p(a).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 4*o**2 + 3. Let a be v(-4). Suppose -g - g + 3*l + 6 = 0, a*g - 9 = -4*l. Find the first derivative of 0*y + 0 + y - g wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:35 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2233*w**3 - 1224*w**3 - 399*w**3.\nAnswer: -3856*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 15*b**2 + b + 17. Let q be x(-15). Let t = 4 - 2. Suppose c - q = t. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141\/(-94) - 3\/(6\/(-14035))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 793*n**2 - 156*n - 140. Determine g(-1).\nAnswer: 809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 less than -2977?\nAnswer: -3075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -27652.05 to the nearest ten.\nAnswer: -27650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**5 - 1398*w**4 + 192192*w**3 - 6489600*w**2 = 0.\nAnswer: 0, 50, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by -4.\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a micrometer in nanometers?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 13 = -4*q, -4*s = 3*q - 7*q - 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + b**3 + 16 - 2 - 5 - 6.\nAnswer: b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 75556\/271 or 278?\nAnswer: 75556\/271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -3052377?\nAnswer: 3052404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u + 7*u + 2*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 546871.7 litres?\nAnswer: 546871700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, e: 6, n: 5, q: 4}. Give prob of picking 1 q and 1 e.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00396 plus -6.5?\nAnswer: -6.49604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 2:58 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 6*q + 10 = -z, 4 = -q - z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28223, 28303, 28381, 28457, 28531, 28603?\n\"Answer: -m**2 + 83*m + 28141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p + 3232 = 0. Let h be (-8)\/68 - 115419\/(-51). Suppose -h - p = -5*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4585*w + 185. Let g(s) = -2293*s + 82. Give -9*g(f) + 4*h(f).\nAnswer: 2297*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 - a + 3. Let x(u) = -u - 2. Let t be x(-4). Let b(d) = 1 - 2*d + d**2 + 0*d**t + d. Let j(y) = 4*b(y) + i(y). What is j(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 153453 + -1226?\nAnswer: 152225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -96706168122?\nAnswer: 96706168121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2322584 - 3?\nAnswer: -2322587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 + -2.93. Let g = 9 - 8.8. Which is the nearest to g? (a) j (b) 2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431, 860, 1289, 1718?\nAnswer: 2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 116, -1\/8, -5, -914, -4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 28\/112 - 51*(-3)\/(-36) - 9\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.97 - 0.03. Let o = 169 + -1186\/7. Which is the third smallest value? (a) i (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = 0, 2*n + v - 132 = 129. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-6) - 3\/(-6). Let r be (-2 + 4 + -2)\/(1 + 1). Suppose 0*z + 4*z + 4 = r. Is d smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 14 - 60*z + 37 - 11 to f*z + h and give f.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 4 + 3 + (7 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/14941086 and -5\/484814.\nAnswer: 164351946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**4\/5 + 3*i**3 + 16*i**2\/5 + 3*i\/5 - 2\/5 = 0?\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -568000 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5, 4, 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.84486m to nanometers.\nAnswer: 81844860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-25)*65\/(-26).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11742637 by -1.\nAnswer: -11742637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/72 + (-22)\/(-8).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94.31 - -94.2684. Round f to 3 decimal places.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -25\/2*y**3 + 2*y - 1 - 43\/2*y**2. Differentiate p(a) wrt a.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 5 - 3*l + 1 - 1. List the prime factors of i(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a = -36*a + 14. Sort 3, 2, -1, a in decreasing order.\nAnswer: 3, 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2634, 2626, 2618, 2610?\nAnswer: 2602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3297045, -6594089, -9891133, -13188177, -16485221?\n\"Answer: -3297044*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b = 5*c - 21*b - 116 - 0, -10*c - 32 = -5*c + 3*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-6 + (7 - 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3971488*t**2 - 2485958*t.\nAnswer: 7942976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - 5*o - 44 + 43 + 92*o to i*o**2 + a + d*o and give d.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -8, -19, -34?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1821 is divided by 1456.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 0.634?\nAnswer: 0.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -6 (b) -12 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-39549)\/(-21) - 5\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**2 + 1\/60*h**5 - 1\/210*h**7 + 1\/12*h**4 - 1\/60*h**6 + 0*h + 0*h**3 + 0. Suppose x(t) = 0. Calculate t.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y. Let c(t) = -40*t**2 - 14*t + 9*t**2 + 14*t**2 + 16*t**2. Give c(i(k)).\nAnswer: -k**2 - 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -208?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21955, 5\/8, 0.1.\nAnswer: 0.1, 5\/8, 21955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10261*m**3 + 21*m**2 - 3*m - 13.\nAnswer: -61566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9321 + -326191\/35. Calculate the common denominator of j and -17\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000108145978 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from kdimkzm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -192\/355, 22\/5, -1\/9, 0.1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 k when four letters picked without replacement from {a: 2, h: 10, f: 5, k: 2, z: 1}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**4\/2 + 2*c**3 - 154. Determine b so that u(b) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -24456 and -4089 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3219.2 + 3219. Let f = 0.35 - -0.05. Which is the nearest to -1? (a) o (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -59*q - 117. Let u be n(-8). Calculate the greatest common divisor of 71 and u.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + 12. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 83*q**2 - 11*q**2)*(-35*q - 15*q - 18*q)*(5 - 5 - q**2).\nAnswer: 4964*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52127 = -11*z + 176442. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968 is divided by 536?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**3 + 713*m**2 - 298*m - 1682. Give y(-143).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5250871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 36 = 406. What is the units digit of 5*(-7)\/((-70)\/l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 4*w + 2, 5*f + 2*w = -175 + 146 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2111\/3 - 703. What is the closest to z in 0.5, 0.6, 1\/4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37989 and 3752.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 129*104398\nAnswer: 13467342","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14615)\/(-45) - 0 - (-8)\/36. Suppose -694 = -2*v + 2*r - 3*r, -5*r = -v + q. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-186)\/(-1302))\/(1\/(-8))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 8*x + 6. Let i = 36 + -28. What are the prime factors of n(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 9881808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9202325 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 3, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b6a - 79?\nAnswer: 1ae1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 12*q + 266. Let z be l(-22). Suppose -b - 13 = 4*j - 9, 2*b = -2*j - 8. Solve j*g = -z*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272429017?\nAnswer: 7, 101, 385331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + 5 + (-9 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - (16 + -20)) + 124 + 3.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 1:48 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 7)\/((-9)\/3696)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/8))**(2\/5))**(1\/4) assuming o is positive.\nAnswer: o**(3\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1564.3334.\nAnswer: -3128.6668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80632720 a multiple of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 525.8488 litres in millilitres?\nAnswer: 525848.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 7:27 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s + 2333 + 396 + 352 = 0 for s.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3542979 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from {j: 1, y: 2, l: 1, r: 2, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8 + 61*d**5 + 68*d**5 + 0*d - d - 47 wrt d?\nAnswer: 2580*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2457 + -2457.34. What is the biggest value in 0.5, f, 4, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -21. Let h = -35 - c. Suppose -4*n - 4*l + 16 = 0, 4*l = -1 + 5. Put 2, h, n in descending order.\nAnswer: n, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -0.01, -1.81 in descending order.\nAnswer: 24, -0.01, -1.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21743067 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/120 - a**3\/2 - 2*a**2. Let l(j) = -j**3 - 4. Determine -4*f(r) + 3*l(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4*j + 11 + 216*j**2 - 159*j**2.\nAnswer: 57*j**2 + 4*j + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 23. Let v = 12 + -5. Suppose -3*f + v + 5 = 0. Calculate the remainder when c(-12) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 84.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 + 0) - (6 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 54. Let w be 63\/5 + (-2)\/(-5). Suppose -t + 4 = g - 6, -2*t = -g + w. What is the greatest common factor of h and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**4\/3 + r + 1. Let z(b) be the first derivative of q(b). Let m(j) = -64*j + 2 + 61*j - 2. Determine z(m(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2095846, -4191694, -6287540, -8383384, -10479226, -12575066?\n\"Answer: p**2 - 2095851*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-5760.87.\nAnswer: -403.2609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**5\/45 + 5*c**4\/9 - 52*c**3\/27 - 80*c**2\/3 - 64*c + 131. Determine q, given that a(q) = 0.\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4189 + 5195 = -2*d, -d = 3*b - 7048. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456 = -10*k - 266 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 712109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1226)\/(-10) + 4\/10. Suppose -4*j = 5*z - c, -57 = -2*z - 3*j + 4*j. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s**(2\/9)*s)\/s)\/s))**(-1\/6)*(s*s\/s**(1\/12))\/(s\/s**5)*(s**(1\/7)\/((s**(-8)\/s)\/s))**(-2\/107) assuming s is positive.\nAnswer: s**(439307\/80892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 6*m - 22. Let u be q(-10). Let o be 10*12\/(-10)*(-2)\/u. Put 7, o, -3 in descending order.\nAnswer: 7, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 2 - (-2)\/((-4)\/(-38)). What is the first derivative of 7*w + 0 + 7 + 28*w + i*w wrt w?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 - -1420\/9. Let m = 24573905\/1191 + -20633. Let n = m - 268\/1985. Which is the third biggest value? (a) d (b) 1\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235915723.\nAnswer: 19, 149, 167, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64883.\nAnswer: 7, 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -34 (b) -0.2 (c) 0.1 (d) -1\/11 (e) 1 (f) -57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:17 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 5*d + 5. Let n be q(4). What is the nearest to 0.3 in 4, n, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(25\/((-800)\/112)*(0 + -1)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -610be (base 15) to base 12\nAnswer: -129a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + 1 + -3 + (5 + 1*sqrt(432))**2 + -4 - ((-5 + sqrt(432) + -1 + 1)*-5)**2.\nAnswer: -10974 + 3132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = c + 13, 3*c + l = 6*l - 34 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + 2*t**2 + 1 - 718928*t + 88*t**3 + 7*t**2 + 0*t**2 + 718930*t in the form b + h*t**2 + y*t**3 + o*t and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 6*q + 60. Let u = 12 + q. Solve 2*x = -3*t - u*t + 16, -2*t + 4 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5 - 2062*w**4 - 7586*w**3 - 10356*w**2 - 6217*w - 1382 = 0 for w.\nAnswer: -1, -2\/3, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.622 + 0.622. Let a = 0.1171 + -0.0271. Put -2\/7, a, d in decreasing order.\nAnswer: a, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 1. Let a be q(5). Suppose -12 = -5*v + a*v. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370 is divided by 424.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/561, 1\/2174, 0.07?\nAnswer: 1\/2174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2406*q + 603 = -30675 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 86 - 74 + 114)*(0*a + 3*a - a).\nAnswer: 260*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1\/4*v**2 - 7\/4*v**3 + 1 - 5\/4*v**4 - 1\/4*v**5 = 0. Calculate v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - 0) - (7 + (19 - 23))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2443, 2445, 2461, 2491, 2535?\nAnswer: 2593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 100438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58975 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*g + 79 = -g, 2*g = 2*r - 26. What is the remainder when 88 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520400 a multiple of 1301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6004 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2 + g + 2. Let i(t) = -8*t**2 + 2*t + 61. What is -3*a(z) + i(z)?\nAnswer: z**2 - z + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -32 + 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -244*f - 5121. Let o be p(-21). Solve 4\/7*w - 20\/7*w**5 + 8*w**4 + 0 + 8\/7*w**2 - 48\/7*w**o = 0 for w.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 5*m + 3 = -l, 0 = l + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3480 and 472180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*c = 69, 0 = 2369*c - 2368*c - 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2761 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 50680?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 4, 6.\nAnswer: -8, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 253*i + 248*i - i**3 + 9 - 496*i as u + x*i**2 + r*i + p*i**3 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3)*k)\/k*k*k*k*(k**(4\/5)\/k)\/k*k*(k*k**(2\/15)\/k)\/k**(-6))\/((k\/(k**6*k)*k**(-5)\/k)\/(k*k\/(k*k**1))**(-22)) assuming k is positive.\nAnswer: k**(319\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 - 237 + 62*d**2 + 131.\nAnswer: 62*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 154.5\nAnswer: -463.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15150 and 300.\nAnswer: 30300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 i, and 1 o when three letters picked without replacement from iccochicxc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30.9? (a) 2\/9 (b) -0.9 (c) -0.0283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q + 2. Let h(u) = 4*u**2 + 5*u + 8. Let l(p) = 5*a(p) - h(p). Calculate l(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130515 - -62053?\nAnswer: 222601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0482 times -5\nAnswer: 0.241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35593959618 + 0.03.\nAnswer: 35593959618.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -84435.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 2*o - 1. What is d(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -301 times -47\nAnswer: 14147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 620\/(-8)*((-126)\/40 + 3) and 119\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11*n - 5. Let c(l) = -4*l - 2. Let m(d) = 3*c(d) - v(d). Give m(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -4*n - 537860 + 537874, -29 = -4*n + 5*i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 407 - 4067\/10. Let b(a) = -a**2 + 17*a + 5. Let c be b(17). What is the second biggest value in i, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 3*f**2 + 5*f + 10. Let b be x(-3). Suppose -15592000 = -b*g + 68*g. Round g to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 264 - 208. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521179.2 months in millennia?\nAnswer: 43.4316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 250*l**2 + 11527*l - 148. Calculate v(-61).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -139860.3 to the nearest 1000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, m: 13}. Give prob of sequence mhmh.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.002, 2549, -20, -5\/2 in ascending order.\nAnswer: -20, -5\/2, 0.002, 2549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -2*(-1 + 2). Suppose -5*i + i + 20 = 0. Let k be z\/(-2 + i) + 10. Solve 5*l + 5 + k = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 17 = -9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c381 (base 15) in base 7?\nAnswer: -3536104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/(w\/w**(3\/29)))))\/(((w\/(w*w*w\/(w*(w**(-2\/45)*w)\/w)))\/w)\/w))\/(w**41)**(-2\/125))**43 assuming w is positive.\nAnswer: w**(5336386\/32625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2293801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + h**3 - 9*h + h**2 + h**3 + 7*h to the form o*h**3 + f*h**2 + p*h + q and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 19 + 132*q - 131*q + 4 to n + i*q and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1989 = -133*g - 20*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 + -46. Let n = l + 139.7. Is 1\/3 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -127\/105, 19 in increasing order.\nAnswer: -127\/105, 1\/2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 0*d = -2*t - 2*d + 3*d + 14, -10*t - 5*d - 3787 + 3642 = 0 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -482 + 404. Let p = -551\/7 - m. Is p at least as big as -2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121 + -121. Suppose t = -12*a + 19081 - 4669. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(-3*v - 1 + 1) + 0*v + v - 2*v + 0 - 3*v + 0)*(35*v**3 - 26*v**3 + 48*v**3) - 2*v**4 + 2*v**4 - 4*v**4.\nAnswer: -61*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4619*r**2 - 13926*r.\nAnswer: 9238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807895057 is divided by 403947526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.05, -3.3, -1\/5, 3\/4?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 18 = -27*l + 23*l, u + 3*l - 8 = 0. What is the units digit of ((-104)\/10)\/(u\/(-35))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 129612 + 1288*g - 129612 + (-2*g + g + 0*g)*(-2 + 0 + 0).\nAnswer: 1290*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -12*v + 10*v**2 + 0 + 4*v**3 + 0 - 3*v**3. Calculate the remainder when 31 is divided by g(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u. Let p(r) = r. Let m(g) = 3*l(g) + 21*p(g). Let v(f) = -3*f. Give m(v(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.4 - 7.5. Put s, 0.2, 0.07 in decreasing order.\nAnswer: 0.2, 0.07, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1065 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.86 - -3.5. Let m = c - -0.1. What is m rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/4612810 and -115\/18.\nAnswer: 41515290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 1. Let q(h) = -h**3 + 7*h**2 - 5*h + 11. Let o(y) = -q(y) + 5*x(y). What is o(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 20*m**2 + 873*m - 932. Let d(r) = 12*r**2 + 524*r - 560. Let c(x) = -13*d(x) + 8*s(x). Factor c(v).\nAnswer: 4*(v - 1)*(v + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46483 and 109865?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*-2*-6)\/(sqrt(6) + sqrt(18)\/sqrt(48)))\/(2*-1*sqrt(64) - (sqrt(64)*1*-5 - sqrt(64))).\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 c, and 1 i when four letters picked without replacement from ggngcipgicnqncn?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(6\/13)\/(s**(-2)*s) assuming s is positive.\nAnswer: s**(19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 1. Let s(p) = 8*p**3 - 4*p**2 - 48*p + 11. Let g(v) = -17*v**3 + 8*v**2 + 106*v - 24. Let q(y) = 6*g(y) + 13*s(y). Calculate n(t) + q(t).\nAnswer: 2*t**3 - 3*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 32 = -4*k, -5*j - 437 + 522 = -5*k. Let p = -99 - -189. Let l = p + -38. What is the remainder when l is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 12*t**2 - 13*t - 3. What is k(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 35 = 5*y, -3*a - 2971 + 2937 = 5*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 98 - 133. Solve f*h - 11*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 238 + ((-2)\/13 + 28\/182)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-16\/3)\/l*l*l*l*l*l\/((l\/(l\/l**(-25)*l)*l)\/l)*((((((l**19\/l)\/l)\/l)\/l*l)\/l*l)\/l*l)\/(((l\/l**(-19))\/l)\/l) assuming l is positive.\nAnswer: l**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1015, -1894, -2647, -3274, -3775, -4150, -4399?\n\"Answer: 63*n**2 - 1068*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**5\/60 + i**4\/12 - 5*i**2. Let o be p(-2). Let b(x) = x**2 - x + 25. List the prime factors of b(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171470 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52666737 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -73*(-4)\/60\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -20. Suppose 4*f + 3*a - 122 = 0, -f = p*f + 2*a - 149. Suppose -l + f = -5. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i. Let v be p(-1). Let m(y) = -y**3 - 2*y + 1. Let z(b) = 7*b**3 + 5*b**2 + 13*b - 4. Let l(x) = 6*m(x) + z(x). Determine l(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7280133?\nAnswer: 3, 7, 31, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104212 divided by -2.\nAnswer: -52106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36651*s = -36657*s + 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5375 is divided by 69.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) 0.1 (c) -1 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z + 22 = 750. Suppose -64 = -3*a + 23. Let j = a - z. Solve j*d - 17 = -2*q, 0*d - 1 = -d + 4*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73010503 or 73010507?\nAnswer: 73010503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1653081\/28 or 59040?\nAnswer: 1653081\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 10*a**2 - a - 2. Let k(w) = 2*w**3 + 6*w**2 + 3. Give -3*k(q) - 4*l(q).\nAnswer: 2*q**3 + 22*q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -322838 divided by 2138\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g - 161 = 43*g. Let y = 189 - g. Let q(b) = b + 1. Let k(f) = -6*f - 7. Calculate y*q(r) + 4*k(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 r when three letters picked without replacement from dnrrnrrrrnrjrdrr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -85\/6467902?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -628, -1266, -1894, -2512, -3120, -3718, -4306?\n\"Answer: 5*l**2 - 653*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + 8)\/(4\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 320*a**5*g - 11*a**2 + 6*a*g - 3*a wrt a.\nAnswer: 19200*a**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2851.4 - 2852. Sort -6, -1, 1\/6, d in decreasing order.\nAnswer: 1\/6, d, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v, 5*p - 3 - 17 = -5*v. Let a(b) = b**3 + 4*b**2 - 4*b - 10. Let h be a(-4). Is p > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 33*r**2 - 9*r - 6. Let o(p) = -68*p**2 + 19*p + 13. Calculate -13*l(b) - 6*o(b).\nAnswer: -21*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -41, 0.5, 0.08, -3, -4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**4\/12 + 3*j**2 + 1. Let b be (0 - 8\/(-6))*6. Let h(l) = 3*l + b*l**2 + 6*l**2 - 3*l. What is h(y(r))?\nAnswer: 56*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041975 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59778 is divided by 138?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12855, -12853, -12849, -12843, -12835, -12825, -12813?\n\"Answer: f**2 - f - 12855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**5\/10 - 2*j**4\/3 + 5*j**3\/3 - 2*j**2 - j + 20. Let p(a) be the first derivative of r(a). Find v such that p(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 11*u**2 + 12*u - 7. Let r be w(12). Let k(l) = 4*l**3 - 2*l**2 + l - 3. Let s(d) = 9*d**3 - 4*d**2 + 3*d - 7. Determine r*k(a) + 3*s(a).\nAnswer: -a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/15 - 68\/(-6). Let l be 2\/(y\/170) + -3. Let a = -103\/6 + l. Find the common denominator of -29\/3 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 2013?\nAnswer: -200b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(6 - (-405)\/(-72)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774047 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i - 9. Let p(h) = -15 - 3*h + 8*h + 7 + 2*h. Give 7*p(g) - 6*x(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1139 + 1139.3. What is the second smallest value in -0.06, -5, 0.4, t?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 14*h**2 - 30*h**2 + 29*h**3 + 3*h - 55 + 13*h**2. Let r(t) = 87*t**3 - 8*t**2 + 8*t - 165. Let q(y) = -8*f(y) + 3*r(y). Differentiate q(l) wrt l.\nAnswer: 87*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.94 (c) 480 (d) -0.2 (e) -6 (f) -2 (g) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 167*v**5\/12 + 1925*v**4\/24 + 1214*v**2. What is the second derivative of f(u) wrt u?\nAnswer: 1670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b**2 + 3*b**2 - 6*b**2)*(-1 - 3 + 0) + (-1 + 1 - b)*(4*b - 4*b - 2*b) + b**2 - 6*b**2 + 4*b**2 in the form k*b + w + q*b**2 and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 16 = 4*h, -h + 5*h + 4 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 3. Suppose q - 10 = -g*q. Let l be -6099 + (-2 - (1 - q)). Round l to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 301 in decreasing order.\nAnswer: 301, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -102*a + 4. Let l(g) = -783*g**2. What is r(l(p))?\nAnswer: 79866*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r**3 - 8*r**2 - 3*r + 8. Let x(o) = 2*o**3 + o**2 + o - 2. Let n(k) = a(k) + 6*x(k). Suppose -4*v + 52 - 40 = 0. What is n(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 39200*k + 4595*k.\nAnswer: 43795*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*q + 22 = -2*s, 0 = -4*s + 5*q - 41. Let m = 9 - s. Let o = -293 - -455. Calculate the highest common divisor of m and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + 42 + 6 - (2 + -2 + 14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b**4\/13 - 384640*b**3\/13 + 76962*b**2\/13 + 246184*b\/13 + 61544\/13 = 0.\nAnswer: -7693, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*p**5 + 0*p + 0 + p**4 - p**2 - 1\/2*p**3.\nAnswer: p**2*(p - 1)*(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2. Let n(z) = -z**2 - 1 + 2 - 1 - 4 + 6*z. Let p be n(4). Let t(a) = -p*a**2 + 5*a**2 - 2*a**2. Determine m(t(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k = -45. Suppose -a = 4, 2*a + 34 = 2*b + 12. Suppose -2*h - b = 5*o, h - 6 = o + 1. Sort o, 3, k.\nAnswer: o, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.35 - 0.5. Let d = 0.149968 + x. Round d to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9402 a factor of 423766944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88\/4700623 or -1?\nAnswer: -88\/4700623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfr when three letters picked without replacement from {b: 2, f: 1, r: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 + 10 - 18) + 13 - -8) + 104?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/15)*v)\/v**(-15) assuming v is positive.\nAnswer: v**(253\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -613, -3, -2\/9?\nAnswer: -613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2803, -2797, -2791, -2785, -2779, -2773?\n\"Answer: 6*r - 2809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 363*b**3 - 1. Let o be i(1). Suppose 0 = -2*f - 3*v + 144 + o, -4*f - 2*v = -1028. Let m = f + -176. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 5*z. Let q(f) be the second derivative of -10*f**2 + 6*f + 0 - 1\/6*f**3. Let i be q(-15). Give c(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 20 - 60 - (1 + 11 - 32).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -13*d - 66. Let s(n) = -9*n - 44. Give -5*q(t) + 7*s(t).\nAnswer: 2*t + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 795*f + 794*f - 15 = 0, -13*h - 4*f - 105 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(11) + sqrt(11))**2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 457070 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 150 = -4294. Let n = m - -502. List the prime factors of n.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135449 is divided by 258.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14815974*n**2 + 0 - 14815863*n**2 + 0.\nAnswer: 111*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j - 7. Let g(i) = -4*i - 4. Give -11*g(c) + 6*t(c).\nAnswer: -4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 124\/(-12) + (-2)\/(-6). Let f be (-397)\/(-5) + 4\/w. Suppose t - f = -0*p - 2*p, -5*t = 4*p - 155. Calculate the highest common divisor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508624141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 39 = 195. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1083485695 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51 - -32b?\nAnswer: 37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 33. Let n be j(-7). Solve d - n = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 31*b**4\/12 + b**2 + b - 3310. Let q(d) = 78*d. Give n(q(w)).\nAnswer: 188604*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 1673*i**4\/24 - i**3\/6 - 3*i**2. Let f be n(-1). Let k be (-12)\/21 + f\/(-14). What is the greatest common factor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 11*q + 400 - 3260 = 0. What is the least common multiple of 280 and q?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/1363 and 111\/1160?\nAnswer: 54520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-3*(-4)\/3. Suppose -5*x + 113 = -2*k + 4*k, -5*k = x - 41. Let s be (-20)\/(-10) - 3\/(-1). Solve -s*o = -n - x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 3)*(2*b + 2*b - 3*b) + 4 - 4 - b)*(-b + 6*b - 3*b)*(50 + 193 - 126).\nAnswer: -468*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 greater than or equal to -52827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 - (-68 + (5 - -86)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -580063.43489 + 580061. What is n rounded to one dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2084\/15, 2\/15, 1\/3, 3\/2, 3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -16*l. Let z be (-2 - -6) + (-9)\/3 - -1. Let k(t) = -t**2 + 14*t**2 - 6*t**2 - 8*t**z. Determine k(p(a)).\nAnswer: -256*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*m + q, 3*q + 14 = -5*m - 13. Let j = 24 - m. Suppose -l = -j - 25. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r**6*r)\/(r**(1\/2)*r)**(-18\/5) assuming r is positive.\nAnswer: r**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2494290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 233533.5 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.41791 - 5.417918. Let j = 0.19 + 3.81. Let k = j - t. What is k rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 287.35 - 287.73789. Round d to 2 decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992228106.\nAnswer: 2, 3, 165371351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4\/17277179 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -176 - -166 - 2*39\/(-6). Factor 18\/13*j**h - 4\/13 + 2*j - 40\/13*j**2.\nAnswer: 2*(j - 1)**2*(9*j - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let x be y(-5). Suppose -t = -x*t. Suppose 0 = -t*l + l + 7. Which is smaller: -8 or l?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*a - 112*a + a + 6*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33995 - -33994.9384352. Let m = 0.0617 + f. What is m rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 18144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 39. Calculate the remainder when 61 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6764899 is divided by 438?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**2 - 7*i + 2. Let h(z) = -2*z**2 - 2*z + 1. What is 2*b(f) - 7*h(f)?\nAnswer: 4*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/5 (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.02 (b) -100 (c) 0.2 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -276600683\/25282718 + 3\/377354. Let q = b + 40979\/6030. Let k = 14\/45 + q. Calculate the common denominator of k and -77\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20590200 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/440 - 1122\/(-68970).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 639538 or 639537?\nAnswer: 639538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1915144, 1915135, 1915126, 1915117, 1915108, 1915099?\nAnswer: 1915090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-6)\/(-3))*((-2)\/1)\/(1456\/2496).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886432183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 8:13 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276971*j**2 + 276971*j**2 + 17 + 1718*j**3.\nAnswer: 1718*j**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 0. Suppose -3*h - 2*s = -6*h + 16, p = 2*h + 5*s + 21. Which is the second biggest value? (a) h (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*(2\/4)\/((-19)\/(-38))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 210212112211 (base 3) in base 16?\nAnswer: 691ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31304?\nAnswer: 2, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:20 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 51*f - 126.\nAnswer: -3*(f + 3)*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 divided by -4?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 833293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -41951.47 to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + (0 - (13 + -15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2507*k**2 - 12515*k**2 + 2504*k**2 + 2495*k**2 + 2503*k**2 + 2502*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-72)\/(-2))\/2 - 12. Is 140 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/28)\/((-3)\/24). Suppose 0 = -n - t*n + 4*l + 114596, 4*n - l = 152799. Round n to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10184.50141 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 - -545\/6. Let u = -13627 - -13650. Put j, 1\/4, 3\/7, u in increasing order.\nAnswer: j, 1\/4, 3\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -272828*d*m + 10*d + 14702151*m wrt d?\nAnswer: -272828*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round -10.8845478 to 3 decimal places.\nAnswer: -10.885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-330)\/40)\/(3\/(-32)). Suppose 0 = -3*n + 5*n - o. Suppose -5*i = 4*k + 15 - 235, -n = -i + k. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -16*i**3 + 152*i**2 + 780*i + 1220. Let p(x) = -19*x**3 + 162*x**2 + 780*x + 1219. Let u(s) = -4*p(s) + 5*q(s). Solve u(f) = 0 for f.\nAnswer: -3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2361491 and 627.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 - 91 = 5*m - d, 4 = 2*m - 2*d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10610 and 100795.\nAnswer: 201590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 - 1553 + v - 3*v + 1559)*(4*v - 9*v - 15*v + (0 + 2 + 1)*(0*v + 0*v + 2*v)).\nAnswer: 42*v**4 + 28*v**2 - 84*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29061 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -161122, -322251, -483388, -644539, -805710, -966907, -1128136, -1289403?\n\"Answer: -f**3 + 2*f**2 - 161128*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 12*a**2 + 11 + 3*a**2 + 13*a**2 - 5*a. List the prime factors of i(2).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**4\/4 - 6*k**3 - k**2\/2 + 17*k + 822. Give u(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b - 1. Let s be t(2). Suppose -q - s = 2*w - 22, 4*q = 4*w. Suppose 0 = w*g - 7*g + 114. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -940 divided by 470?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3 - 111*c**2 + 108*c = 0. Calculate c.\nAnswer: 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-2)\/(-2)*-1. Let w be 1\/(((-4)\/(-6))\/((-754)\/(-87))). Suppose 16 = 3*m + w. Sort h, 5, m.\nAnswer: h, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4704 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - s + 21 = 0, -10693*s + 10690*s = -27 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/15 and -27\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/15 + 8588*g\/15 - 9219218\/15 = 0. Calculate g.\nAnswer: 2147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/14324 and 46\/365.\nAnswer: 5228260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 146364 - 146406 = 2*l, -2*l = -c + 34 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*w - 0*w - 1, -3*w = -g. Suppose -2 = g*z - 4*z. Solve 3*c = -z*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*m + 8. Solve -6*p - x - 11 = -m*p, -4*p + x - 7 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 7*p + 17. Determine s(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 9:32 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3 + 1 + 3*h + 2. Let w(b) = -699. Let c(v) = -437. Let a(u) = -8*c(u) + 5*w(u). Give -6*a(f) + i(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233 + 212.9. Let d = w + 1.1. Let f = -19.0000007 - d. Round f to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -241\/4. Let u = 0 + 1. Is g < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1136.762 to the nearest integer.\nAnswer: -1137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 209 (base 12) to base 7\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3047489936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063 (base 7) in base 14?\nAnswer: 1da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 8. Let j = 2 + -3. Let n = t - j. What is the smallest value in -2\/9, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7371 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from aaxtdtaqtq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*n + 9950 - 1775 = 0 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 38525*b - 77047. Calculate n(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*r + 4*r**3 + 35 - 28*r - 6*r + 30*r**2 - 31*r + 13*r - r**4.\nAnswer: -(r - 7)*(r - 1)**2*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1570 + 17*v + 276 - 265 - 16*v.\nAnswer: v + 1581","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 24. Let l(r) = 8*r - r**2 + o + 5 - 16. Calculate l(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c - 80. Calculate the least common multiple of 18 and q(14).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001235257 rounded to six decimal places?\nAnswer: 0.001235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1016 divide 45721877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256799?\nAnswer: 256799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 j when three letters picked without replacement from qqjqjq.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11355325?\nAnswer: 5, 454213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-180)\/(-22) - (56\/44)\/7. Find l such that 4*l + r*l**3 + 5*l**2 - 2*l**3 - 2*l**3 - 13*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*l**6 + 2*l**3 + 208*l**2 - l.\nAnswer: -3480*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194*a + 1695*a - 504*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/5)\/(6\/30) - -3. Let u be 6\/(-15) - (-2)\/5. Suppose u*v - v + 3 = -3*x, -23 = 4*x + 5*v. Sort 3, w, x in decreasing order.\nAnswer: w, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2117022 is divided by 264.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3794058 and 18?\nAnswer: 3794058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 + 96. Let l be 7 - 6\/(v - -11). Solve l*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -126615*b**3 - 368*b**2 + 92*b - 184. Let s(w) = -6844*w**3 - 20*w**2 + 5*w - 10. Calculate 92*s(l) - 5*u(l).\nAnswer: 3427*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 23*t - 16. Let d(p) = 46*p - 34. Calculate 3*d(k) - 7*z(k).\nAnswer: -23*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggsg when four letters picked without replacement from {g: 8, w: 7, s: 3}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -8 - 4 - (-4 - 9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 36. Let h be x(21). Let b = 30 - h. Let f be (-5)\/(-20) - b\/(-4). Solve -f*u + 4 = -2*u, -4*u - 4 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (1 - (6 - (7 - 1) - -6)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 22*a**3 + a**2 - 1. Let v(h) = -16*h - 157. Let k be v(-10). Suppose k*u + 9 = -3*r, -7*r + 4 = -9*r. Determine j(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h = -1077694 + 1078129 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590*l - 467007 = 573*l. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 - 18\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5521461 (base 8) to base 2\nAnswer: -101101010001100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4\/3 + 568*s**3\/3 + 6720*s**2 - 568*s\/3 - 20164\/3 = 0. Calculate s.\nAnswer: -71, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 37.79 and -68189834.6.\nAnswer: -68189796.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 16599*q - 12072. Let j(t) = -4*t + 4. Determine -3018*j(m) - k(m).\nAnswer: -4527*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 684*p = -382*p - 91140 for p.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -52653 (base 7) to base 4\nAnswer: -3023133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*(i\/(i**(-3)*i))\/i*i)\/((i*i\/(i*i\/i**5))\/i))\/(i\/((i**(-1\/4)*i)\/i))**(-49) assuming i is positive.\nAnswer: i**(253\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2357 = 2*a - 3*p, -273*a - 5*p - 2355 = -275*a. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 986881197?\nAnswer: 3, 328960399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 31 - (-2 + -21) - (1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29764 less than or equal to 208352\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-237 + 23 - 564)*(4*y + 0 + 0 + (1 - 1 + 2)*(2*y - 3 + 3)) to the form q + c*y and give c.\nAnswer: -6224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a microgram in nanograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47038.\nAnswer: 2, 29, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -2 - (2 - 18). Solve 2*x + 22 = 4*v, -4*v + k = -0*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/19 (b) 4\/5 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 20 = 5*g. Let a be 40\/100*(1 + 4). Let q be g*1\/2*a. Let x(k) = -k - 6. Calculate x(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.143, -2, -0.5, -1?\nAnswer: -0.143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -122 + 44*p**2 + 0*p**3 + 0*p - 95\/4*p**4. What is the second derivative of t(z) wrt z?\nAnswer: -570*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**5 - 985*w**4 + 1950*w**3 + 10*w**2 - 1955*w + 975 = 0.\nAnswer: -1, 1, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -946*n + 858*n - 3119 = -1007 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-8) - (-7)\/28) + (-15)\/(-10). Which is the nearest to -0.2? (a) -2\/11 (b) -73 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, q: 7}. Give prob of sequence qqql.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484898853.\nAnswer: 31, 47899963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, m: 4, l: 5}. What is prob of sequence lls?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81896867\/4 or -20474217?\nAnswer: -81896867\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**2 + 2*f**2)*(10 - 5 - 7) + (-2 + 2 - f)*(4 - 3 - 3)*(2*f - 4*f - 9*f).\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 1. Let g be f(-1). Suppose -g*n = -n + 10. Let b(y) = 2*y + 7. Calculate b(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 560, 3, 2, -5, -106.\nAnswer: -106, -5, 2, 3, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**6\/360 - f**5\/60 - f**4\/24 - f**3\/2 + f**2. Let n(a) be the first derivative of u(a). What is the tens digit of n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (4 - 7)) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4 - 25270*k**3 - 5109276*k**2 - 264741642*k - 748923813 = 0?\nAnswer: -99, -3, 25471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q - 32*q - 89883 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = 2*d. Suppose -3*h - p + 12 = 0, 5*p = -4*h + 5 - 0. Suppose h = -2*u + u. Is d greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204\/3366*12\/7)\/(8\/28).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14475037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -276*j**2 - 6*j + 6. Let x(m) = 45*m**2 + m - 1. Let l(q) = -5*i(q) - 30*x(q). Let r(b) be the first derivative of 2*b**2 - 2. Give r(l(v)).\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*m + 3. Suppose -3*v - z = -4*z - 18, 4*v - 6 = -5*z. Let t(c) = -m*c + v*c + 10*c. Let q(b) = -2*b**2. What is t(q(y))?\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(sqrt(18)\/(4*sqrt(24)\/sqrt(4) + sqrt(6) - sqrt(6))*-6 - -5*(-2 + (1*(sqrt(3) + 0) + sqrt(3))**2)).\nAnswer: -251 + 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 10*k**2 - 20*k - 19. Let u be q(-8). Solve 7*a + 27 = u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7))**(-50)\/(l\/(l\/l**(2\/13))*l*l*l**(7\/6)))**(2\/9) assuming l is positive.\nAnswer: l**(-9613\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-53)\/(742\/(-27316)) + (-2)\/(-14)*-1?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-184)\/460 - (-1)\/((-15)\/(-46731)). What is the greatest common divisor of 35 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 10:28 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 + 329009*b**2\/3.\nAnswer: b**2*(b + 329009)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/14861 and -62\/14861.\nAnswer: 14861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*f = -0*f - 165, -5*r = -f - 170. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (5 + -3 + 4 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 57 + 9 + (51 - 19 - 49)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 33*x**2 + x - 28. Calculate v(33).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 8 = 15*k. Let i(c) = -c**2 + 4*c**2 - 5*c**k. Let z(m) = m**2. Calculate i(z(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3434 (base 8) to base 14.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 7 - ((3 - 7) + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*q - 96, 0 = -j - 0*j + 3*q - 9. Let v = j + 19. Let z(g) = -g + 1. Let h(b) = 4*b - 5. Give v*h(l) + 3*z(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 0, -4*z - 4*m + 1 + 3 = 0. Which is bigger: 2\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -12. Calculate the lowest common multiple of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102*(-5)\/20*((-1320)\/45)\/(-22)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/4153167 and -71\/333504?\nAnswer: 265802688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1354\/5 - 270. What is the third biggest value in -2\/3, n, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -101222102110111020?\nAnswer: -101222102110111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-8)*(-2 + 0). Let x be (-3)\/((-3)\/6*3). Suppose 4 = -x*j - 2*j. Do i and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - ((18 - 9) + -5 - -6)) + -14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -458479+0.004758\nAnswer: -458478.995242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/1296 and -203\/4704480.\nAnswer: 4704480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/(-36) - (116\/36 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 757280 and 21520.\nAnswer: 203708320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835783?\nAnswer: 13, 239, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 44\/5 of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 15 = -14*h + 5*r, 0 = 5*h - 9*r - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5385367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4449*p. Let c(o) = 22*o. Give u(c(b)).\nAnswer: -97878*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 4*o - 8, -o - 39 = -4*c - 2 - 48 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-23) - (-35750)\/32890.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**4\/2 + 11*y**3\/3 + y**2 + 35*y. Let a be v(-4). Suppose a*k - 72 = 9*k. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 10*x**3 - 2*x**2 - 11*x + 26. What is c(4)?\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18569 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-6) - (-35526260)\/168. Let h(g) = 211466 - n - 10*g. Let v(t) = -5*t**2. What is h(v(a))?\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 12*n**5\/5 - 63*n**4\/4 + 5*n**3 - 8149. Factor z(b).\nAnswer: 3*b**2*(b - 5)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(2*sqrt(3)))\/sqrt(2))\/(sqrt(7) + (sqrt(70)*1 - sqrt(70))\/sqrt(10) - (-1*sqrt(77) + sqrt(77))\/sqrt(11)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1390 in 0, -1\/3, 1\/9, 3\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(2\/5)\/(p**0)**(3\/26))\/((p*p\/(p*p**(4\/3))*p\/(p**(-3)\/p))\/(p*(p*p\/(p*p**1*p))\/p)**37) assuming p is positive.\nAnswer: p**(-619\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1146*b - 542*b - 488*b - 4)*(-b**2 - b**2 + 0*b**2).\nAnswer: -232*b**3 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + 26. List the prime factors of (-2)\/7 - f\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 1. Let j(o) = -2*o**3 + 2*o + 4. What is -j(h) - r(h)?\nAnswer: 2*h**3 - h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 180, 268, 356, 444, 532?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/(-7))\/(1\/18*1))\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 - 2*b - 2. Let m be 58\/4*(-5 - (1 + 0)). Let z = m + 97. Calculate the remainder when i(3) is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 + 1. Suppose t = -8*t + 45. Which is the biggest value? (a) t (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1861 - 1861. Let u(y) be the second derivative of 0*y**2 + l - 1\/9*y**3 - 8*y - 1\/54*y**4. Factor u(v).\nAnswer: -2*v*(v + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -118.\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2 - 8 = 0. Suppose g*m + 0*u - 74 = -4*u, -2*m + 3*u = -102. Calculate the remainder when m is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from {o: 1, j: 3, x: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 3, c: 6, q: 2, j: 6}. What is prob of sequence ci?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u + 87. Let j = -23 - u. Let z(k) = -k - 4. Calculate z(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742453619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 5*j = 2. Suppose f = -2*z - 0*z - 2, 3*z + 42 = 5*f. Let x = f - j. Calculate the remainder when 25 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1532000 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + (14 - 6) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**48*d**(-2\/5))\/(d*d*d**(1\/9)*d*d*d**(3\/4)))**(2\/43) assuming d is positive.\nAnswer: d**(-9407\/3870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -489\/7 + 11114\/161. Let w = 1133\/32 + 52643\/32. Let c = w - 1640. Calculate the common denominator of c and p.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 191, 173, 155, 137, 119?\n\"Answer: -18*k + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-two fifths of a kilometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -274, 0, -0.81?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63163*f**2 - 110017 wrt f.\nAnswer: -126326*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1384 and 1382 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -411295 less than or equal to -411128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.33 to zero dps.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6090154?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 15*f**2 + 26*f + 33. Let x be q(-17). Let g = x + -42. Let d(i) = -1 - 118*i**2 + 2 + g*i**2. What is d(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.072929 micrograms to kilograms.\nAnswer: 0.000000002072929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 2*y**3\/3 - 13. Let s(m) = m**2 - m - 1. Let f(k) = -36*k**2 + 30*k + 30. Let z(q) = 2*f(q) + 60*s(q). Give g(z(i)).\nAnswer: 288*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**4\/2 - 19*m**3\/3 - 91*m**2. Does 7 divide l(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 8*m + 6. Suppose 0*v = x + v - 12, -50 = -5*x - 3*v. What is the remainder when ((-4)\/(-2))\/((-2)\/(-37)) is divided by r(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 85021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -8*z + 5. Find the third derivative of -10*i**3 - 15*i**5 + 5*i**z + 10*i**2 + 10*i**3 wrt i.\nAnswer: -900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(704)*4)**2 + -1.\nAnswer: 101375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvey when four letters picked without replacement from euvyeyi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 4:33 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -5 + 1 - -1. Which is the closest to 0? (a) 3 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -703.\nAnswer: -3\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1699, -1\/2, -1\/3 in decreasing order.\nAnswer: 1699, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2607 (b) 2 (c) -2.5 (d) 5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-13)\/8)*3483\/(-5805).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77776 and 64.\nAnswer: 311104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*a**4 + 0 + 24*a + 24*a**2 - 3\/2*a**3.\nAnswer: -3*a*(a - 4)*(a + 1)*(a + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 30 = -3*v - 8*d, -38 = 4*v + 2*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = -443*r + 469*r. Let s(v) = 6*v. Let w be s(1). Let n be (-66)\/4*(-8)\/w. Calculate the greatest common divisor of r and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 293459 + 7*i**2 - 4*i**2 + 266682 - 560141.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 219816 and 2.09483999?\nAnswer: 219813.90516001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + -10413?\nAnswer: -10364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vop when three letters picked without replacement from {m: 3, p: 4, o: 4, b: 1, v: 2}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2099*x - 50736 = 75204 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 316338 and 396.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b + 942*b + 552*b + 230*b.\nAnswer: 1743*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/109)\/(225\/(-75)). Put -0.006, j, -3 in descending order.\nAnswer: -0.006, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {y: 2, s: 1, x: 5, o: 8}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4118 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 46*h**2 + 208*h - 35. Determine g(-41).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((60 - 4) + 6)*9\/(-2). Let o(v) = 16*v**2 + 6*v + 6. Let k be o(5). Let q = k + s. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32636454 is divided by 80.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**8\/560 + p**7\/140 + p**6\/120 + 4*p**3\/3 + 8*p**2. Let r(y) be the first derivative of c(y). Suppose r(o) = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0) + 0 - -5. Suppose 47*y - 41*y = 0. Suppose 754 = t*s + 3*n - n, y = 4*s + n - 751. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15006 and 257858102.\nAnswer: 5002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102174 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3 - -3) + -92 + 147 + -159?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 4, 1703, 1, -1, 5 in increasing order.\nAnswer: -3, -1, 1, 3, 4, 5, 1703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -16*t - 14. Let c be d(-1). Let p(g) be the first derivative of 0*g - 2\/5*g**3 + 3\/20*g**4 - 2 - 9\/10*g**c. Let p(u) = 0. Calculate u.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x - 59. Let k(y) = -2*y. Let b(g) = -6*k(g) - z(g). What is b(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4 + 1. Let x(i) be the first derivative of -650001*i**4\/4 + i**3\/3 + i**2\/2 - i + 3. Let o be x(t). Round o to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 91 (b) -0.12 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-7)\/(14\/(-4)). Let k be j + -2 - 0\/3. Let r be (100 - -7 - (k - 2)) + -3. What is r rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*j, 4*j - j = -4*s + 10. Suppose -2*w - s = -4*k + 1, 4*k = 12. Suppose -w*r + 12 = -3*r. Solve -2*f = 2*y - 12, 0 = -3*y - f - r + 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (0 + 2 + 0). Let v(t) = 54*t**2 - t. Is v(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 25, -4 in increasing order.\nAnswer: -59, -4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11*j**4 - 4*j**2 - 33. Let g(n) = -23*n**4 - 9*n**2 - 66. Let c(v) = 9*d(v) - 4*g(v). What is the derivative of c(r) wrt r?\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18007, -17997, -17985, -17971, -17955, -17937?\n\"Answer: x**2 + 7*x - 18015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -18 + (9 - -1) + 4 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cofhcfozhhocfzfzfc. What is prob of sequence cfo?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -21. Suppose i + 24 = g*i. Calculate the remainder when 46 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from ahatatggatathattahat.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000013111 - -3?\nAnswer: -1000013102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.5 at most as big as -1151432\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*n + 7*n - 108, 3*s + 108 = 4*n. Let a = -37 - -14. Let r = n + a. Solve r*g - 9 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 576, 2170, 4824, 8538, 13312, 19146, 26040?\nAnswer: 33994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-105)*-51 + -68 + 56.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 687\/44 - 49147\/3476. Let m = 2\/79 + q. Factor m*t**3 + 0 + 0*t**2 - 1\/2*t**4 - 2*t.\nAnswer: -t*(t - 2)**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 8, h + 3*b + 1 = -0*b. Let r be ((-24)\/2)\/(24\/(-12)). Suppose r*x = 126 - 132. Sort 1, h, x, -2 in ascending order.\nAnswer: -2, x, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/732 and 89\/96.\nAnswer: 5856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4 = 4*h + 14, -3*h - 25 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 428 - 273. Calculate the lowest common multiple of 7 and c.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 16) in base 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -7*f - 112. Let b be f\/(-6)*(-4 + 1). Solve -z - z = b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -40785*z - 367067. Calculate d(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 558, 591, 636, 687, 738?\n\"Answer: -q**3 + 12*q**2 + 4*q + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 8*p - 132. Let v be (-1)\/3 + p\/9. Solve -8 = -2*s + 2*j - 0*j, 0 = -2*s - v*j + 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0*w**3 + 0*w**2 - 2*w - 1\/6*w**4 + 0. Let y(h) = h + 3*h + 5*h. Determine j(y(x)).\nAnswer: -162*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/45936 and -167\/19140.\nAnswer: 229680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m - 7. Let c be l(-4). Suppose c*j = 3*j + 586. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsddbbbadbdaddmsdba. Give prob of picking 2 a and 1 s.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 10*o - 36. Let q be h(-13). Suppose 5*c + 3*p - 32602 + 7614 = 0, -q*p + 4988 = c. What is c rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3680, -7, 1\/69, 2\/7 in increasing order.\nAnswer: -7, -0.3, 1\/69, 2\/7, 3680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.068 - 42.\nAnswer: -41.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2. Let w(f) = 15*f. Calculate z(w(v)).\nAnswer: 450*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c + 144 = 12*c. Let l(y) = 20*y - 23*y - c*y. Let n(v) = 23*v**2. Determine n(l(t)).\nAnswer: 828*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 5*s + 5. Let k be i(-2). Which is the third biggest value? (a) -0.5 (b) k (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1342 - 9274\/7. Let h = k - 17. What is the second smallest value in h, 0.3, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.08, 4\/3, -9\/13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-153)\/(-63) - 21\/49. Suppose -a - 8 = a, 2*a - 16 = -d*x. Which is bigger: x or 144\/11?\nAnswer: 144\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*d*h + 16*d*l + 3*d + 9*h*l + 2*l - 2 wrt l?\nAnswer: 16*d + 9*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1\/27 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -63 + 5*d - d**3 + 16*d - 75*d**2 + 41*d**2 + 46*d**2. Does 109 divide j(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(304) + (sqrt(304) - (-1 + sqrt(304)))**2)*4*4.\nAnswer: 16 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.1 (b) 5 (c) 3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 0.1, 0.2, 3\/7, -0.8, 5 in increasing order.\nAnswer: -0.8, 0.1, 0.2, 3\/7, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 75224, 150548, 225872?\n\"Answer: 75324*b - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 785778907 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - s**2 + 3*s + 6. Let m be k(-4). Let f be (2*96\/(-128))\/((-6)\/560). Let h = f + m. Is h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + o**2 - o - 1. Let h be r(0). Let z = -3 - h. What is the least common multiple of 2\/4 - 21\/z and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (906\/4 - -1)*(-4)\/(-5).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.179 + 0.0344387.\nAnswer: 0.2134387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -77*a + 74*a. Suppose 0 = -3*f - 4 - 8. Let x = 16 + f. Calculate the highest common divisor of a and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 26463 = -2*d + o, 2*o + 39684 = 3*d. Suppose -27*v = -9234 - d. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/672)\/((-3658)\/(-2478))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30348b (base 16) to base 6.\nAnswer: -151413455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 728 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: Calculate the greatest common divisor of 3157 and 2541.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f + f)*(1278*f - 3179*f - 7579*f - 3892*f - 1982*f - 2440*f).\nAnswer: -17794*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124915 + -124914.925971. Let r = -0.074 + k. What is r rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757 + 2610 = 359*b - 3532 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - p + 1. Let j be b(-1). Let i = 0.6 - 0.3. What is the smallest value in i, j, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 0, -2, -4?\n\"Answer: -2*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*j = 0, 3*g = -92*j + 93*j + 36. Let m(f) be the first derivative of -31\/2*f**2 + g - 39*f. Differentiate m(r) with respect to r.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/10))**41)**(-2\/17))**(2\/7) assuming j is positive.\nAnswer: j**(-82\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 3)\/3 + -54. Let l be h\/(-20) - 6\/10. Solve 4*o + 5*z = 3*z + 20, l = -o + 3*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -370*t + 99900. Give f(270).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*z - 5*t + 18, -24 = -4*z - 2*t. Let g = 8 - z. What is the closest to 0 in g, 0.4, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2817593?\nAnswer: 2817593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 i, and 1 v when four letters picked without replacement from xhxhuiiusxxuuxhvhsx?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 > 273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*a + 2. Let f be 162\/72 - a\/(-4). Suppose -f*r - 530 = -2*b, 0 = b - 2*b + 3*r + 255. What is b rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 485.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -624423176 divided by 3\nAnswer: -624423176\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/2)\/(w*w\/(w**(-3\/5)*w))*(w**(-3))**(-12\/13) assuming w is positive.\nAnswer: w**(-43\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*n**2 + 69*n**2 + 3*n + 0*n - 3*n.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 - 213 + 394 - 3859*f.\nAnswer: -3859*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = -3*b + s, -b - 2*s - 10 = 0. Let j be (-2)\/((-4)\/b) - -6. Suppose j*y - 9 = 1. 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 is the remainder when 1233 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 766824, 1533944, 2301064, 3068184, 3835304, 4602424?\nAnswer: 5369544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 4*n**2 - 6*n - 6. Let v be x(6). Let j = -12 + v. Solve -5*m - j = 4*i - 5, 3*i = -4*m - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -1) + (1 - 3). Let t be ((-1)\/2)\/(c\/(-54)). Which is smaller: -10 or t?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -11*r**2 + 1\/240*r**6 + 0*r + 1\/840*r**7 + 0 - 1\/80*r**5 + 1\/6*r**3 - 1\/24*r**4. Factor v(g).\nAnswer: (g - 1)**2*(g + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 118*w**2 + w + 4323. Let q be z(0). What is the highest common factor of q and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/6 - 4\/2. Let j = -509\/70 + 87\/10. Let q = j - y. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 (base 14) in base 4?\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-25)\/15)\/((-4)\/(-168)). Is (-196924)\/t + (-5)\/25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1729\/52*(-96)\/(-168). Solve 0 = -t + 5*d - 0*d + f, t - 2*d - 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 864 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, d: 5, a: 3}. What is prob of sequence yd?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.24 or -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d - 214. What is f(-23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71)\/(-806560)*-16*10.\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.2179?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -26*t**2. Let b = -170 + 178. Let n(k) = -k**2 + 11*k - 25. Let f be n(b). Give m(f).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 342113 (b) -18 (c) -2\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/19, 14, -3, 0.6 in descending order.\nAnswer: 14, 0.6, 1\/19, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15\/2 - -47\/6. Let x = 12\/187 + -2\/11. Which is the closest to n? (a) x (b) -0.2 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 924553, 924487, 924377, 924223, 924025, 923783?\nAnswer: 923497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 896, 601, 304, 5, -296, -599, -904?\n\"Answer: -r**2 - 292*r + 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c - 5*a + 35 = 0, -2*a = 5*c - 20. Suppose g + 29 = 4*r, -g + 2*g + 13 = c*r. What is the remainder when 15 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 8. Let x(s) = -2*s + 5. Let t(r) = -5*j(r) - 8*x(r). Suppose -3*d = -h + 4 + 13, -10 = 2*d. List the prime factors of t(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dutdrht. What is prob of sequence ru?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + -15232556?\nAnswer: -15232533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232, -714, -1660, -3232, -5592?\nAnswer: -8902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 11*f - 19. Let b be d(-8). Let r be ((80\/6)\/b + -2)*-3. Let i(t) = 8*t**2 + 6*t + 7. What is the lowest common multiple of i(r) and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1959415 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - k. Suppose -3*i - 2 = 1, 0 = 5*a + 2*i - 28. Let x(l) = 8*l**2 + 8*l - 2. Give a*f(t) + x(t).\nAnswer: 2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -8*k**3 - 2*k**2 - 2*k + 5. Let m be a(1). Let j(v) = -v**3 - 6*v**2 + 5*v - 8. What is j(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 2:34 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 99*y + 7227. What is a(-73)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*1)\/(8\/(-48)). Let x(h) = 3*h - 12. Let n be x(i). Let p = n - 5. Calculate the remainder when 2 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28401*y**4 + 5*y**3 + 56723*y**4 - 2 - 28459*y**4 - y to the form a*y**3 + r*y**2 + h*y**4 + i + q*y and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**8\/(c*c\/(c\/c**(-30))) assuming c is positive.\nAnswer: c**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((sqrt(153) - sqrt(153)*1) + 5)*-4)**2 - ((5*(1*sqrt(204) + sqrt(204)))\/sqrt(192))**2).\nAnswer: -3525\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2, 2\/19, -0.3, 0.06452, -2\/21?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - ((3 + sqrt(112) - sqrt(112))**2 - sqrt(112)))*-5 + (sqrt(112) + 0 - sqrt(112)) + 0 + ((-4 + 2 + (sqrt(7) - (-1*sqrt(7) + -5)))*-4)**2.\nAnswer: 152*sqrt(7) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -77*o - 432. Give m(-15).\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 5*y + 2*u + 3*u, 3*u - 63 = -2*y. Let z be 8\/(-20) - (-274)\/10. What is the highest common divisor of y and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 16*d + 60 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2309549?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24029582.\nAnswer: 2, 449, 26759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/1487 - 86489\/120447. What is the common denominator of -50\/111 and i?\nAnswer: 2997","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k**5 + 557*k**4 + 2436*k**3 + 1588*k**2 - 304*k = 0. Calculate k.\nAnswer: -38, -4, -1, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (3 + 0 - (-24 + 23)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 252 = -282. Which is smaller: f or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 32*w - 2. Let j be r(4). Calculate the greatest common divisor of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -37*a - 151. Let g be k(-4). Let o = 0.0558 - 8.1158. Let y = -8 - o. What is the biggest value in y, 0, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(931) - -5*sqrt(931) - sqrt(931)) + sqrt(931))**2 - (1*sqrt(931)*1)**2.\nAnswer: 32585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 604 + -598. Let m(g) = 93*g + 9*g + 11 + 4 + r - 25. Let o(h) = h. Give m(o(t)).\nAnswer: 102*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/3 - 48*w**4 + 2*w**3 + 872*w**2\/3 + 385*w + 144 = 0 for w.\nAnswer: -144, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5202, -10449, -15696?\n\"Answer: -5247*g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + p - 3)*(-284*p**2 + 3224 - 3224) as w*p**2 + m*p**3 + t + b*p and give m.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + 5 + -2 + -2.\nAnswer: 1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224 + 12130233?\nAnswer: 12130004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1295 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20132443 (base 5) to base 7\nAnswer: 1242130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6135337 decades to years.\nAnswer: 6.135337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/20 - (-4)\/(-10). Let q = -31 - -43. Let h = 17 - q. Solve 0 = h*k - g*d - 20, 3*k - 7 = 2*d + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*x - 8*x + x)*(2 - 3 + 0) + (-4*x + x + x)*(-1 - 2 + 2))*(-2*x**2 + 2*x**2 - x**2).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.29 rounded to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x + 14408 = 14828 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8*g + 33 = 3*g, -2*g = 2. Let z = 11 - o. Is z\/3 - (1 - 61) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22130032331202 + -10?\nAnswer: 22130032331132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10809658351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133*(-11)\/1045*10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1482)\/(-65))\/19*1\/3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 719.5 - 118.5. Let o = 434.8 - l. What is o rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1077837, -1077804, -1077711, -1077528, -1077225, -1076772, -1076139?\nAnswer: -1075296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 4*a**2 + 2*a - 4. Let u = 25 - 16. What is the lowest common multiple of g(3) and u?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (15 - (0 - -5 - 15))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k + 22*k = -4*q - 4, 5*q + 6 = 2*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 416 + -393. Suppose q + 4 = 3*b. Let u(p) = p - 1. Give u(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 + 45*x**2 - 379 + 379.\nAnswer: 38*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 2:28 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3392 and -0.082.\nAnswer: 0.0278144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1953*b - 197086. Give k(101).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 - 3*w + 3*w + (-2 + 2*w + 2)*(-2*w**3 - 3*w + 3*w) - w**4 + 0*w**4 + 0*w**4 - 14*w**3 + w**4 - 13*w**3 + 22*w**3.\nAnswer: -2*w**4 - 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -2, -7, 1\/4 in decreasing order.\nAnswer: 1\/4, -2, -7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1394*s + 473*s + 412*s to l + y*s and give y.\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m - 13. Let g be o(2). Let v(n) = 0*n - 109*n**2 + 111*n**2 + 0*n - n. Determine v(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4 + 1 - 5845*r**2 + 6176*r**2 to the form b*r + k + a*r**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 121\/120*p**6 + 1\/2*p**3 + 10 - 17\/60*p**5 + 0*p**4 + 3*p**2 + 0*p. Find the third derivative of m(a) wrt a.\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*t + 2 - 60*t - 11*t - 73*t - 59*t.\nAnswer: -107*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**2 + 3*o - 12. Let q(d) = 23*d**2 + 7*d - 28. Let g(a) = 3*q(a) - 7*t(a). Let y(j) = j**2 + 4*j - 11*j - 2*j**2. Calculate y(g(v)).\nAnswer: -v**4 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 2748?\nAnswer: 8244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 71*v**2 - 12141*v - 8. Determine y(171).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**3 + 27*k**2\/2 + 30*k - 10. Factor g(z).\nAnswer: -3*(z - 10)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxgxffgxxx. Give prob of picking 1 f and 2 x.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0 + n**2 + 0*n + 1\/8*n**4 + 1\/3*n**3. Is 10 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 533 + -175. List the prime factors of m.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, -3, -49, -40 in decreasing order.\nAnswer: -3, -5, -11, -40, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -146) + -52 + -50?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - 3*sqrt(66)\/sqrt(3)) + 2*sqrt(66)\/sqrt(3))\/(sqrt(88)\/(-2*sqrt(8)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/21 - 57\/21. Let w = -5 - s. Find the common denominator of (-183)\/48 + 1 + w and 89\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 4:04 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2480.2 + -2484.2. Put d, -3, 1.05, 2\/15 in decreasing order.\nAnswer: 1.05, 2\/15, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(5\/3)*h**12)**35 assuming h is positive.\nAnswer: h**(1540\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4484 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 37. Suppose -187 + t = 4*l. Let a = -28 - l. Calculate the remainder when a is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**2 - 4561*q - 22782. What is m(-5)?\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -255.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 14, e: 4}. Give prob of picking 2 e.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j - 94. Let c be w(31). Let o = c - 152. Solve 0 = i + o*i + 3*z, -5*i + 5*z + 50 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15404 (base 8) to base 3.\nAnswer: 100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 29*w**2 + 18*w**2 + 5*w)*(-3*w + 0*w + 5*w).\nAnswer: -22*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + k**2 + k + 83. Is b(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1655432 and 925735.\nAnswer: 140711720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 + 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by (-146)\/(-14) - 48\/112.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7822 take away -18?\nAnswer: 15.2178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225 + 241. Let t be 80*1*(0 + 1). What is the greatest common divisor of z and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t + 2. Let o be i(-3). Solve 5*m = -3*l - o, 2*m + 8 = -4*l - 2*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.4 - 4.4904. Let a = 0.051 + r. Round a to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0. Let m be (-4)\/(-28) - (-13715)\/(-455). What is the second smallest value in -5, p, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 221\/13 + (-8 - -4) + 0. Suppose -4*o - 3*i + 2 = 7, -3*o = 2*i + 4. Let c be o\/7 + (-74)\/(-14). Solve 0 = -5*p + 5, 0*p - c*p = -2*g - w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172 is divided by 66\/(-14 + 174\/12)?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 + 19*b**2 - 2*b**5 - 17*b**2 + (0*b**4 - 3*b**4 + b**4)*(6*b - 2*b - 2*b) - b**5 + 4*b**5 - 2*b**5.\nAnswer: -2*b**5 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -5*s**8\/112 - s**5\/4 - 3*s**2\/2 + 4. Let i(d) be the second derivative of n(d). Find the third derivative of i(b) wrt b.\nAnswer: -900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/19, -1\/8, -0.0631, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 12*s - 6. Let g be q(-1). What is the second smallest value in 5, g, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -319 - (-24 - -32). Is -330 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i**3 + 21*i**2 - 7. Let j(p) = 5*p**3 - 11*p**2 + 3. Let a(s) = 14*j(s) + 6*l(s). Find the third derivative of a(n) wrt n.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(2 + 2*(-1 + (sqrt(68) + 3*(1 + sqrt(68)))**2)*-4).\nAnswer: 3840*sqrt(17) + 87660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 2)*(-5 - 3*x + 5)*(-x**2 + x**2 + 5*x**2) as m*x**3 + d + g*x**2 + k*x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 155113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 4 + 1 + -1. Suppose 0 = 4*l - 3*g - 159, 3*l + v*g - 94 = 47. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 - -72. Let r = -3.6 - -4. Let f = 308\/5 - 311\/5. Which is the closest to p? (a) -3 (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0353 - -815.9647. Let d = b - 815.94. What is the second smallest value in 1, d, 3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**7)*v)\/v*v**(-2\/19)*v)\/(v**(-5\/6)*v*v**9) assuming v is positive.\nAnswer: v**(-145\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -37820?\nAnswer: 151280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 209 + (1 - 0). Suppose -u + d + 37 = u, -d = 5*u - 110. Calculate the highest common factor of u and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 + -1717.448?\nAnswer: -412.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/60 + 7*c**4\/24 + 5*c**3\/3 - 3*c**2. Let m be l(8). Solve 2*h - m = -6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 + d**2 - 3*d - 1. Let y be c(3). Suppose 5*g = -5*o - 15, -4*g - 8 = -4*o + 4. What is the units digit of 4*(0 - g\/((-24)\/y))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -172\/5 in -1\/5, -13, 98, 127?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123.6 - -124. Put 1, 0.1, b, 2\/7 in decreasing order.\nAnswer: 1, b, 2\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24084 and 2376?\nAnswer: 529848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-45) - 68\/120. Let o(w) be the third derivative of -2\/3*w**3 + 0 + 0*w - 5*w**2 - 5\/24*w**4 - a*w**5. What is o(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.88 - -130.58. Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**3 + 1211112*c**2 - 4844460*c + 4844464 = 0.\nAnswer: -1211116, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4022314 (base 5) to base 7.\nAnswer: 354556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 417 = -3*k, -3*k - 2 = -k. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 1066?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:27 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8296 + -8296.4. Let v = -1.3 + 0.3. What is the closest to -2 in b, v, -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -575.8135 to zero dps.\nAnswer: -576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/104 and -11\/7.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from uhrhh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:31 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -647*w**2 - 82 - 522*w**2 + 263*w**2 + 23*w + 101 wrt w?\nAnswer: -1812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 14*h**4 - 138*h**3 + 372*h**2 - 280*h - 48 = 0.\nAnswer: -1\/7, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 356 and 254748.\nAnswer: 22672572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 180386*m. Let u(c) = 24*c**2. Give u(a(j)).\nAnswer: 780938615904*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_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 = -10645 - -10655. Solve f - 9*x + i*x = 0, -5*f + 40 = -5*x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52208 is divided by 51721.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59228\/7135 - 3\/2854. Calculate the common denominator of (-1)\/((-96)\/(-452)) - 0 and t.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 + -127. Let k = -71\/4 + 18. What is the nearest to k in -2, p, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7199532 and 2043?\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o = y + 249, -y - 1245 = -5*o. Suppose -17*f + 210 = -o. What is the remainder when 127 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 38 = -d + 6*d, -3*d = -3*v + 30. Solve -3*u = -3*j + 9, -j + v*j = -5*u + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 1\/180*o**5 - 1 + 0*o**2 + 1\/1080*o**6 + 1\/72*o**4 + 0*o + 1\/3*o**3. Let q(l) be the third derivative of g(l). Factor q(a).\nAnswer: (a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -641236 (base 8) in base 5?\nAnswer: -23314122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from ataazzz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 3 = 5*q. Sort q, 7, 0.\nAnswer: q, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jszhsshzhhjhs. What is prob of picking 2 h, 1 j, and 1 s?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(sqrt(190) + (sqrt(190) - (sqrt(190) - -2*sqrt(190))*5) + sqrt(190)))\/((sqrt(70)*-1*-6)\/sqrt(7)*3).\nAnswer: 50*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7131457*u + 7817079.\nAnswer: -7131457","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1338759197 to the nearest integer?\nAnswer: 36589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/15)\/(1804\/(-13530)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.153 - 47.153. Which is greater: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 5, 0.1, -255.3?\nAnswer: -255.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8847220303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + f**3 + 67*f**2 - 67*f**2.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211 (base 3) in base 5?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1000292773 or 1000292772?\nAnswer: 1000292772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 10*h**2 - 7*h - 5. What is the remainder when 36 is divided by d(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/9 + (-94)\/(-18). Suppose 0 = -3*b + 2*d + 6 + 12, d + 15 = 3*b. Suppose -m + 16 = 6. Solve -l*h - m = c + 12, c + 17 = -b*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*p**3*s**3 + 32*p**2*s**3 + 2*s**3 + 214*s wrt p?\nAnswer: 15*p**2*s**3 + 64*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.05, 0.18, 3, 3\/2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + 1 + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115843 and 136194786.\nAnswer: 6097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 399517031 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 40 = -2*k, -4*k - 4 + 14 = 3*a. Let l = 4 - 7. Let v = 7 + l. Calculate the remainder when a is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6200268*d**5*n**2 - 263*d*n**2 - 3846*d - 1 wrt d?\nAnswer: 124005360*d**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 21\/(-9))\/((-1)\/(-9)). Suppose x + n = b*n + 205, -x + 3*n = -203. What are the prime factors of x?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 53*h**3 - 13*h**2 - h + 21. Let a be y(4). What is the highest common factor of 679 and a?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1305689 by -2.\nAnswer: 1305689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*t + 4. Calculate the lowest common multiple of 19 and (32 + -31)*-11*(t + -2).\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.163 less than -167526912307?\nAnswer: -167526912307.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-145)\/(-203))\/(((-12)\/(-21))\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -766429707\/143 + 5359671. Let q = 236\/13 - h. Find the common denominator of q and 6\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1917 + -1911. What is the third biggest value in 3, 0.06, k, -3\/2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdtd when four letters picked without replacement from {h: 3, t: 4, d: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.08696 - -0.02696. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*w = -56*w + 69*w + 3657 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, f: 3, p: 3, q: 3, z: 1, v: 5}. Give prob of sequence vzff.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 842 + -453. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80496095\/312 + -258000. What is the common denominator of p and 87\/572?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192146108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, -2\/7, 4.\nAnswer: -2\/7, 2.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6862181 - 466819. What is t rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m - m - m + (-4 + 6 + 1)*(3 - 5*m - 3) + (-2 + 6 - 3)*(0*m + 2*m - 4*m) as d + h*m and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 51*d**3 + 111*d**2 + 90*d + 30. Let m(x) = 5*x**3 + 11*x**2 + 9*x + 3. Let f(z) = 21*m(z) - 2*y(z). Solve f(u) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*v**2 - 1198*v**3 + 640*v**3 + 593*v**3.\nAnswer: 35*v**3 - 115*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/270 + 37\/270. What is the nearest to 1 in c, -0.4, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -0.2, 243, 7, -9 in descending order.\nAnswer: 243, 7, -0.2, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -701606*f**3 + 774*f**2 + 2*f - 70 wrt f.\nAnswer: -4209636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 749 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614214 is divided by 2062.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*2*1 - sqrt(18)\/sqrt(24))**2*-5.\nAnswer: -135\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 4*k**2 + k - 4. Let c be d(4). Suppose c = -4*i - 4 + 128. Suppose -4*b + i = -21. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 + 2*n - 3. Let u(m) = -16*m**2 - 9*m + 15. Calculate -2*u(l) - 11*y(l).\nAnswer: -l**2 - 4*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1714.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 42, 73, 110, 153?\n\"Answer: 3*x**2 + 16*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -249*c - 2031. Let j be t(-9). Let b = -9 + 19. What is the greatest common divisor of j and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2042 divided by -2042.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 8*r + 9. Let x be s(7). Let i be -1 - x\/2*1. Suppose 82 = -30*h - 68. Which is bigger: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 a, and 1 i when three letters picked without replacement from {n: 1, i: 5, p: 3, t: 3, l: 1, a: 6}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-24) + 10*(-2)\/84. Let h = 9.66 + 0.34. Which is the closest to h? (a) j (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3 + 40692*t**2 + 81380*t = 0?\nAnswer: -40690, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/5))**13\/((i**7\/i)\/i**(-7\/3)))**(-1\/15))**(1\/4) assuming i is positive.\nAnswer: i**(41\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 1, q: 1, h: 2}. What is prob of sequence qhh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 6:58 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-142)\/(-16) - 11*(-12)\/1056. Suppose -1117 = -u - k - 307, -2*u = -k - 1626. Suppose u = q*t - 340. Is 32 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {d: 1, i: 1, z: 1, q: 2, c: 1, f: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -2*d**6\/15 - 13*d**5\/25 + 13*d**4\/20 + 52*d**3\/15 + 6*d**2\/5 - 899. Suppose a(l) = 0. Calculate l.\nAnswer: -3, -2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 51*b**2 + 5036*b - 43551. Determine l(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + (sqrt(121) - sqrt(121)*3))\/sqrt(11))**2 + sqrt(44) + 0.\nAnswer: 2*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 4*x**3 + 20465 - 20458 + 6*x**3 - 2*x**3.\nAnswer: -3*x**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 85*l - 83*l = 21, -3*l + 32 - 20 + 27 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + y - 534 = -3*y, 570 = 5*j - 5*y. Let h be -24*((-4)\/(-10) + j\/(-150)). Find the second derivative of 21*z - 3*z + h*z + 17*z**2 - 4*z wrt z.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 + 39 + -51.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, 4, -8\/15 in decreasing order.\nAnswer: 4, 0.4, -8\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 0.4. Let z = 7.06 + -7. Let j = z - 0.36. Which is the second smallest value? (a) -2\/19 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**4\/6 + 7*y**3\/6 - 2*y**2 - 19*y. Give p(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1736*o - 915*o - 149 - 812*o to the form c*o + s and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*l**5*x + 13*l**3*x**3 - 16*l**2 - 11*l*x**3 wrt l?\nAnswer: -1200*l**2*x + 78*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2231, -2247, -2253, -2243, -2211, -2151?\nAnswer: -2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 96350049 and -0.4.\nAnswer: 96350048.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 9. What is the first derivative of -4*a**2 + 2 - m*a**2 + 10*a**2 + 18*a**2 wrt a?\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + (-2 + 27 - 59)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2452 - -2452.00002032. Round h to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 10*g**3\/13 - 4*g**2\/13 - 10*g\/13 + 4\/13 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 9*d + 154 = 34*d - 38*d, 0 = -4*d + 120 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 89. Suppose -14 - a = -4*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -93. Let k be q\/(-30) + (-46)\/36. Which is the fourth biggest value? (a) k (b) -2 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4))**22\/((d*d**(-3\/2))\/d)**(2\/61))**26 assuming d is positive.\nAnswer: d**(8801\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 greater than 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6777*b**2 + 8707*b - 2. Let z(l) = 7*l**2 + 4*l + 1. Let g(y) = k(y) + 2*z(y). What is the second derivative of g(u) wrt u?\nAnswer: -13526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 11:30 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 6. Let c be v(-6). Suppose -2 = -2*i + 2*d, -2*d + c*d - 7 = -3*i. Suppose 2*w + i*y + 19 = 91, 0 = 4*w + y - 180. Is 27 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 128526 and 1.\nAnswer: 128526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = x. Let v = 11 + -7. What is the highest common divisor of v and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**3 + 72640*u**2 - 581204*u - 1452960 = 0.\nAnswer: -72648, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -2730.85, 1\/2, 1\/4, -24?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519134.5 hours to minutes.\nAnswer: 31148070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(1\/27))\/o)\/(o\/o**(4\/11))*(o*((o\/(o**0\/o))\/o)\/o)\/(o\/(o*o**(-33)*o)) assuming o is positive.\nAnswer: o**(-9110\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/228 and -52\/3.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*x**2 + 47*x**2 - 114*x**2 - 5*x**2.\nAnswer: -167*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -9\/10, 71, 15\/2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362309 is divided by 4202.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2. Let a(q) = 2*q - 1147. What is a(d(y))?\nAnswer: -4*y**2 - 1147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 460 + -217. Calculate the highest common factor of s and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cji when three letters picked without replacement from iicccjcjzcjic?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 269 and 7.\nAnswer: 1883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8\/13, -64, 0, -2\/5?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 15 = -21. Sort f, 2, -4, -5.\nAnswer: -5, -4, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -11*l + 71 + 6 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 16 = -3*c, 15*a - 14 = -3*c + 11*a. Solve -j + 10 = -4*r + 2, 2*j = -2*r + c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.6286 and -0.05171.\nAnswer: -1.68031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15821328?\nAnswer: 2, 3, 47, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1099207672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02817621 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnw when three letters picked without replacement from {j: 1, w: 2, n: 1, p: 1, m: 2, k: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 8:39 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 19003202.\nAnswer: 1\/19003202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + y)*(-12604 - 12612 + 24918).\nAnswer: -298*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-12)*(3 - -109). Suppose 5*z = -c + b, 0 = z + c - 4*c - 20. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152.7 - 152.66425. What is d rounded to 4 decimal places?\nAnswer: 0.0358","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 1143?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (115 - 63) + 8 - 75?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(38)\/sqrt(2) + 2*sqrt(684) + -5.\nAnswer: -4 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6125*i**2. Let b(t) = 13*t**2. Determine r(b(x)).\nAnswer: 1035125*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 163b1a6 - -81?\nAnswer: 163b267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9168256, -18336497, -27504738, -36672979, -45841220?\nAnswer: -55009461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a + 108. Suppose -a = -2*o - o. Calculate the remainder when 35 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1060\/106*(-1 - -3).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 - 8796*d**2 - 2*d**3 - 2*d**3 + 8800*d**2 + 2*d + 42 in the form y*d**3 + u*d + x + b*d**2 + z*d**4 and give x.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 139, 142, 145, 148, 151, 154?\n\"Answer: 3*m + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75349648, 75349649, 75349650, 75349651, 75349652?\nAnswer: 75349653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**6\/9 - 568*t**5\/15 - 13394*t**4\/3 - 1659460*t**3\/9 + 911525*t**2\/3 + 3429500*t\/3 - 892. Find j, given that o(j) = 0.\nAnswer: -95, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 48*d**4 - 14996*d**3 + 386568*d**2 + 229356*d + 32944 = 0. What is d?\nAnswer: -1\/3, -1\/4, 29, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**2 - 196*d + 79. Calculate b(-33).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 259?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 0*d**2 - 3*d**2 - 4*d - 1165 + 1167. Let z(s) = 3*s**2 + 3*s - 2. Calculate 3*m(j) + 4*z(j).\nAnswer: 3*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 6*m + m)*(3*m**2 + m**2 - 3*m**2) - 2*m**3 + m**3 + 6*m - 4*m.\nAnswer: -3*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -24*d + 21*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.6723.\nAnswer: 3.3615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w - 10. Let s(g) = g**3 + 6*g**2 + 5*g + 6. What is the least common multiple of (-4 - -2) + w + 10 and s(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 4, o: 2, d: 6, q: 1}. What is prob of picking 1 d, 1 q, and 1 b?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -2\/543, -6, 31, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 4*q + 1. Let y(g) = g - 223 + 223. Let t(h) = s(h) - 6*y(h). Let p = 69 - 68. Calculate t(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 17*c**2 - 17*c - 49. Let g be o(-6). What is the highest common divisor of g and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 165*o - 248*o - 1079 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r. Let f(p) = 2*p**2 - 59*p - 9. Let m(z) = 3*z**2 - 60*z - 12. Let v(k) = 4*f(k) - 3*m(k). Calculate v(d(i)).\nAnswer: -81*i**2 + 504*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -958, -2129, -3874, -6481, -10238, -15433?\nAnswer: -22354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -584633250606?\nAnswer: -584633250605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -613556 + -5?\nAnswer: -613564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 1098300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) -2\/3 (b) 0.2 (c) -4 (d) -32.7 (e) 243 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/10)\/((-4)\/20). Suppose a - 66 = -d*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + 37*o**2 - 14*o**2 - 19*o**2 to s + u*o + g*o**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m + 8*m + 5 + 7*m - 15*m to the form a*m + n and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 169.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1098373823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137 and 119233.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (-22 + 30 + -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 35774896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Add together -60267952 and -2.\nAnswer: -60267954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**5\/30 - 29*n**4\/12 - n**2 + 270. Let j(a) = -11*a. Determine j(q(m)).\nAnswer: -22*m**2 + 638*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 12806?\nAnswer: 166478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/(4*(-20)\/80)*2\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 16983*r**2 + 540720*r + 1891344.\nAnswer: 3*(r + 4)*(r + 28)*(r + 5629)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0 - 5\/24*n**4 + 0*n**3 - 2*n**2 + 0*n. Let t(q) = q**2 - 3. Let j(s) = 1. Let l(v) = 3*j(v) + t(v). Determine z(l(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42984755357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6970 and 1640?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = i + 10. What is the common denominator of (-48)\/(-2 - (i - -1)) and 61\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*y + 24, -10*y - 24 = -6*y + 4*d for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*g - 15*g + 5*g**2 - 10 - 16*g.\nAnswer: 5*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3, 2*r + 109 - 103 = -3*d. Let t(c) = -c**2 + c - 12. Determine t(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(-6*(sqrt(1573)*2)**2 - (5*(0 + sqrt(1573))**2 + sqrt(1573))).\nAnswer: 330*sqrt(13) + 1368510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10120 + -12515?\nAnswer: -23035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 4, e: 1, b: 1, u: 5}. What is prob of sequence uu?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 534813989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 11) to base 5\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114130 - 1104?\nAnswer: -120234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 4691*a**2 + 395854*a - 810480.\nAnswer: (a - 2)*(a + 88)*(a + 4605)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 + -40. Let q = t - 48. Let p(o) = -4*o + 2. Let r(x) = -3*x + 2. Give q*r(j) - 4*p(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*q**3 + 2016467*q**2*x + 665990*q - 95*x wrt q?\nAnswer: 54*q + 4032934*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/7)\/(3\/21). Suppose s = -4*t - 7, 35 = 5*s - 2*s - 2*t. Calculate the highest common factor of a and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*z - 3. Let v = z - 2. Suppose n = -7 + 3. Which is bigger: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:21 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.75972 micrograms in kilograms?\nAnswer: 0.00000000575972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkekgggkgukgkkuksu. What is prob of picking 2 k and 2 g?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1514 = 11*t - 8565. What are the prime factors of t?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from nwwnw?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8957704 weeks to seconds.\nAnswer: 541761.93792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3762*q + 11319. Let d be c(3). Sort -20, 5, -4, d, 3 in decreasing order.\nAnswer: d, 5, 3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20410 (base 5) to base 12.\nAnswer: 94b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 + -202?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27445016?\nAnswer: 2, 919, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313320013003 + -122?\nAnswer: 313320012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(735\/28))\/((-228)\/(-30)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2\/7 (c) -0.1 (d) -279\/7 (e) -2.5 (f) 4 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/19)\/((q\/((q\/(q*q*q*q**(-8\/11)*q))\/q))\/q) assuming q is positive.\nAnswer: q**(-662\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 11. Let n = -1 - d. Let i(l) = -9*l**2 - 17*l + 15. Let g(z) = 5*z**2 + 9*z - 8. Let q(y) = 11*g(y) + 6*i(y). Give q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -10b4506?\nAnswer: 10b4509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 11:00 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2 + 87398046*n + 1909604611154529 = 0.\nAnswer: -43699023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k**2 - 125*k - 810. Let s(n) = 5*n**2 - 64*n - 405. Let a(g) = -4*p(g) + 9*s(g). Find f such that a(f) = 0.\nAnswer: -5, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 93*n**2 - 1042*n - 173. Determine h(103).\nAnswer: -1409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/80*36*18\/(-60)*8\/(-3)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(24150940 + 16844*u - 24150940).\nAnswer: -33688*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*k + 4 = -30, -w = k - 17. What is the remainder when 147 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 1. Let l(k) = -10*k - 2. Let u(m) = -m - 1. Let n(h) = l(h) - u(h). Let a be (1 + -2 + 2)\/1. Let q(b) = a*n(b) + 6*s(b). What is q(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-6 + (23 - 41) + 20)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 16.011?\nAnswer: 16.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -345 (b) -2139 (c) -33 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*d + 4. Suppose -u = 4*u, 2 = x - d*u. Suppose 4 = -x*w + 6*w. Which is smaller: 2\/5 or w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/33, -20, -1, 0.3, 0 in decreasing order.\nAnswer: 20\/33, 0.3, 0, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 12258408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44406, -4, 92, -3, -5 in descending order.\nAnswer: 44406, 92, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-44)\/(-112) + 5\/(-35). Which is the nearest to 0? (a) -2 (b) 2\/17 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (10 - 10 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/11 - -28\/33. Let z be 4\/6 - 40\/(-12). What is a in 8*a**2 + g + 2*a**z - 4*a - 20\/3*a**3 = 0?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-45)\/6) + 22\/(-15). Which is the third smallest value? (a) -12 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Suppose -4*q = -6 + a. Sort q, 3, -4.\nAnswer: -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0 - 27*j**2 + 0*j + 11\/6*j**3 - 1\/24*j**4. Let o be p(11). Solve o = -5*w + 10, -5*g - 2*w - 16 = -0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + 3*w)*(-3*w - 1 + 1) - 5 + 5 - 2*w**2 + 2 - 2 - 2*w**2 - 202*w**2 - 47*w**2 - 76*w**2.\nAnswer: -332*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 4*m - 27. Let r be i(8). Suppose 0 = 3*c + 45 - r. Calculate the least common multiple of c and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2367980953 to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 7:08 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*n**4\/3 + 1484210*n**3\/3 - 7669368*n**2 + 39504672*n - 67775616 = 0.\nAnswer: -2179, 36\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 6 = -3*d + 22, -d = 3*u - 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 48*x + 1837 = 220. What is the highest common divisor of 253 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*(sqrt(3) + 0) - sqrt(3)))**2 - -2*(-2 + sqrt(12))**2.\nAnswer: -16*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(64))**2 + 3 + (-3*sqrt(22)\/sqrt(2)*-4)**2.\nAnswer: 25403\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/104 and -91\/992?\nAnswer: 12896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*((sqrt(44)\/(sqrt(44) + sqrt(11)) - sqrt(64)*5)\/(3*-2*sqrt(2)*-5) + -4 + -3))**2.\nAnswer: 6608*sqrt(2)\/45 + 1615448\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 67797260 to the nearest one hundred thousand.\nAnswer: 67800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 7*m - 2*m. Suppose -5 = -198*a + 197*a. Sort 3, m, a, 1 in decreasing order.\nAnswer: a, 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 11:16 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4721.67152 to one decimal place.\nAnswer: 4721.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6694*b + 19995 = 757 + 2452 + 264464 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 - -265. Let y = r + -155. What is the closest to 4 in 0.4, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0. Let z be (7\/(-546)*3)\/1*-8. Is x >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*b**2 - 10*b**2 + 13*b**2 - 5*b**2 + 2*b**2 + 0*b**2 + (0 + 0 + 2)*(0*b**2 - b**2 + 3*b**2).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + 1 + (-4 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/5, 6 in descending order.\nAnswer: 6, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 23*y + 48. Let b be j(-22). Suppose 46 = -4*o + b. Let r(h) = -4*h - 2 + 0 + 1 + 5*h. Give r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 227, 326, 475, 662, 875, 1102, 1331, 1550?\n\"Answer: -2*q**3 + 37*q**2 + 2*q + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 2*v - 3. Let h be m(3). Let a(s) = 5*s - 7. Let r be a(h). Calculate the greatest common divisor of 95 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111202 (base 3) to base 11\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -5, -4, -2 in decreasing order.\nAnswer: 5, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*s - 4*l - 47, 2*l - 35 = 3*s. Let x = s + 16. Let h be (7 - 40)\/(x\/2). Round h to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 4\/3 (c) 1594 (d) 0.5 (e) -2\/7 (f) -47\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/10 - 213*k**3\/10 - 1468*k**2\/5 + 3366*k\/5 = 0. What is k?\nAnswer: -198, -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/10)\/(2\/220). Let m be -1 + (2 - r\/2). Suppose 3*x + 0*x = -k + 16, 4*x + k - m = 0. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.2 (b) -20 (c) 1\/4 (d) -10746 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15351299 - -4.265\nAnswer: 15351303.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 53*r**2 - 13*r - 7. Let y be f(-3). Let u = 514 - y. Solve u*i + 17 - 37 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -456 by -381.\nAnswer: 152\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -68*r + 1086. Give a(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -57\/2*x**2 + 103\/12*x**4 - 2*x - 10 - 1\/3*x**3. Find the second derivative of c(s) wrt s.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17 and -65400.6.\nAnswer: -65383.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + u)*(-5 + 3 - 7)*(-3*u + 3*u + 6*u**3) to the form b*u**2 + n*u + v*u**4 + m + x*u**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19239.\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19*2\/(-2 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**3 - 2*c**3 - 2*c**3 - 3*c**3 + 0*c**3 + 0*c**3 + (1 - 4 + 1)*(c**3 + 2*c**3 - 12*c**3) - 4*c**3 - 2*c**3 + 7*c**3)*(2*c**2 - 3*c**2 + 3*c**2).\nAnswer: 36*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6507.19972329 - -6507.2. Round v to 5 decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8539013579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*n - 12, -6*n - 13 = 4*a - n. Let p be 1377\/((-18)\/(-2)) + -1 + a. Calculate the highest common factor of p and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(6\/17)\/c)*c*(c**(7\/5)*c)\/c)\/(c**(-10\/13)*c)**(-21) assuming c is positive.\nAnswer: c**(9827\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 79 - 5 = 0. Let k be (-1 - 9\/(-6))*2. Suppose 0 = x - 0*x - k. Solve -4*o = -2*t - o + x, 5*t + o - i = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/23)*k*k\/(k\/(k\/(((k\/(k\/(k*k**(5\/2))))\/k)\/k)*k)))\/((k\/(k*(k*(k*k**(1\/16)\/k*k)\/k)\/k*k*k))\/k**(-13)))**(2\/81))**(1\/13) assuming k is positive.\nAnswer: k**(-3137\/193752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 351148706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 21*b**2 - 71*b + 59. Give w(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o - 7. Let h(p) = 6*p + 6. Let l(w) = -5*h(w) - 4*z(w). Let f(c) = -19*c - 7. Let t(q) = -6*f(q) + 21*l(q). Let a(b) = 2*b**2. Calculate a(t(g)).\nAnswer: 288*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**2 + 10*a + 25200 = 0?\nAnswer: -70, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/d**9)**(-5\/13) assuming d is positive.\nAnswer: d**(70\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**4 + 2592*o**3 + 171072*o**2 + 3013632*o + 15925248 = 0. Calculate o.\nAnswer: -576, -48, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 6*m**2 + m - 4. Let l be r(6). Let s be 2\/6*(64 + l). Solve 3*t + 26 = 5*h, 3*h = 5*t - 0*t + s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (45\/(-36))\/(2\/(-32)). Let o = -12 + l. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 111 + 12 + -10 + (-5 - -1). Suppose -291480 = z*u - 95*u. Round u to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6 - b**2 + 2*b + b**2 + b**2. Let j be v(6). Suppose -4*i - x + 30 = 0, j = 5*i - x - 0*x. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 3*k**2 - k - 2. Let c be s(-3). Let p(j) = j**2 + 6*j - 3. Let u be p(-7). Let g = c + u. Calculate the lowest common multiple of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20893 - -54552. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 0, -3\/532?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20465 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9482384 and -0.171.\nAnswer: -1621487.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 8 = -3*w, -5*h + 10*w - 5*w + 20 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 1. Let q be 868\/168 + (-2)\/12. Let g(i) = -6. Let u(d) = q*z(d) - g(d). Let a be -3*-1*(-2)\/(-6). Determine u(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/8 and 3\/42*16 + 3.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**2. Let j(z) = 25*z**2 + 8*z + 13. Let t(r) = -50*r**2 - 18*r - 30. Let d(b) = -9*j(b) - 4*t(b). Calculate w(d(y)).\nAnswer: -1875*y**4 + 450*y**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1174830, 1174827, 1174822, 1174815, 1174806, 1174795?\n\"Answer: -o**2 + 1174831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16161 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15829?\nAnswer: 11, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, r: 2, a: 2}. What is prob of sequence raat?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(576)\/sqrt(12) + (sqrt(3) - -1*sqrt(243))**2.\nAnswer: 4*sqrt(3) + 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414073.7 hours to seconds.\nAnswer: 1490665320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 3:06 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 7*n**6\/6 + n**3 - n**2\/2 - n - 94. What is the second derivative of b(t) wrt t?\nAnswer: 140*t**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 38 - 4*i + 3*i**4)*(-7*i - i + 4*i + i + 0 + 0 + i + 2*i - i + (1 + 1 - 1)*(-2*i + 6*i - 2*i) + 4*i - i - i + 2*i + 0 + 0 + 2*i + 5 - 5).\nAnswer: 21*i**5 - 28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -281, -398, -497, -584, -665?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (sqrt(432) + 0)**2 - (-3*sqrt(432) + -2)).\nAnswer: -1720 - 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -689, -1129, -1357, -1265, -745, 311?\n\"Answer: 18*v**3 - 2*v**2 - 560*v - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2545295 is divided by 848420.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*v = -681, 5*o - 2*o - 4*v = 685. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -0.1. Let x be (20\/(-100))\/(1\/5). Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -136, -161, -202, -265, -356, -481?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 278400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)*o)\/o**(-1\/6)*o**3\/((o*o\/o**(11\/3)*o)\/o) assuming o is positive.\nAnswer: o**(257\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = -p + 12*j + 4, 4*j + 8 = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3224 + -3223.8. Which is the third smallest value? (a) -2 (b) 1\/6 (c) 3 (d) q (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d**2. Suppose 3*w + 2*w = 85. Let t(b) = b + w*b - 21*b. Give t(g(s)).\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 30. Let k(i) = -4*i. Let l(g) = -5*g. Let y(u) = -4*k(u) + 3*l(u). What is v(y(x))?\nAnswer: -x - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 4*j**2 + 5. Let z be 12*(4 + (-4)\/12*13). Let d be w(z). Which is smaller: d or 10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69*-0.04.\nAnswer: 2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeqannqaqqnqna. Give prob of sequence qeqa.\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ab (base 16) in base 2?\nAnswer: -110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 169 = s, -2*s - 3*s = -4*j + 353. Is 31 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719851312.\nAnswer: 2, 23, 4673509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5656)\/(-32) - -2*1\/8 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8767 - -8777. Solve 5*d + 20 = 0, 3*p - 18 + r = 2*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i - 5. Is m(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 45*l - 220. Give d(17).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144361564 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1410 = -2*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/252*-48*7\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-352)*17236\/12. Let x = 303\/32 - i. Calculate the common denominator of 81\/2 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2641\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 2:36 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.757535 millilitres in litres?\nAnswer: 0.006757535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*w - w - 5*w)*(3*w + 2 - 4*w + 0*w)*(-2*w - 444*w**2 + w + 400*w**2).\nAnswer: 264*w**4 - 522*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 131*i**6\/24 - 17*i**5\/60 + 3*i**2 - 43. What is the third derivative of c(s) wrt s?\nAnswer: 3930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 - b**2 + b**2 + (-b - b + 3*b)*(5 - 5 + 2*b**3))*(1 - 2*b - 1) - 4*b**3 + 3*b**5 + 4*b**3.\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*c + 7*c - 19, 0 = -5*c - 5*o + 25. Let r be -3*3*(-4)\/(-9). Put r, -2, c in descending order.\nAnswer: c, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 5 - 5)*(329 - 106*t - 329) + (3*t - 5*t + 0*t)*(8*t**2 - 8*t**2 - t**3 - 2*t).\nAnswer: 108*t**4 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 290 - 288. What is the remainder when 12 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x - x)*(0*x**2 + 5*x**2 + 0*x**2) + 3*x**3 + 1 - 1.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {s: 3, c: 5, p: 6, b: 2, k: 1, n: 2}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70\/261 + -4\/87. Let k(v) = v**3 - 8*v**2 + 12*v + 3. Let a be k(6). Let u = -0.6 - -0.8. What is the nearest to a in h, u, -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s. Let w be (-172)\/(-8) - (-3)\/(-6). Let d(m) = -w*m - 21*m + 11*m. Give d(n(i)).\nAnswer: 31*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l. Let f(r) be the second derivative of r**3\/6 - 71*r**2\/2 - 140*r - 4. Determine f(n(u)).\nAnswer: -10*u - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/55 + 51\/110. Let s = -289 - -288.6. What is the nearest to -1\/4 in -2, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -10*v**3 - 5*v**2\/2 + 2*v + 35. What is the second derivative of u(m) wrt m?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -1129396?\nAnswer: 9035168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 19*f**2 + 19*f + 20. Let n be w(20). Let t = n - -1. Calculate the common denominator of t\/6*1551\/110 and 107\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (sqrt(243) - 1*sqrt(243))) - ((sqrt(384)*1)\/sqrt(8) - (sqrt(3072) + 1)))**2.\nAnswer: 728*sqrt(3) + 2521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 342053712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 3133122?\nAnswer: -3133131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 62 (b) 0.4 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 36*n**2 + 15*n + 6. Let j(s) = -5*s**2 - 2*s - 1. What is -15*j(t) - 2*p(t)?\nAnswer: 3*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.08, -0.3, -490\/9 in decreasing order.\nAnswer: -0.08, -0.3, -0.5, -490\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/17456 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 62*c**2 - 76*c - 10. Let b(q) = -7*q**2 + 8*q + 1. Give -19*b(v) - 2*n(v).\nAnswer: 9*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51771 and 36.\nAnswer: 1863756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvi when three letters picked without replacement from {v: 6, i: 6, p: 4, q: 1, n: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4 + 2812*l**3 + 2045224*l**2 - 2048032*l = 0.\nAnswer: -446, 0, 1, 1148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13\/(-2))\/((-27)\/54). Which is the smallest value? (a) 2\/3 (b) 0 (c) 2 (d) i (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 4, 1, 5, 2 in ascending order.\nAnswer: -30, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -b9?\nAnswer: bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(-3)*180\/(-18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.76\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.05, -204, 0, -3, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26267, -26319, -26373, -26429, -26487, -26547, -26609?\n\"Answer: -u**2 - 49*u - 26217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101676 - 5733?\nAnswer: 73743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -132 - -1a?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -366 - 984 - 1775*y - 329*y**4 + 1351 - 6*y**4 wrt y.\nAnswer: -4020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-68)\/(-102))\/(23\/(-3) + 7). Let g = -8 - 0. Let j = 5 + g. Sort j, 2, -0.3, l.\nAnswer: j, l, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(12) - sqrt(300))**2*-3 - (-1 + (-3 + (5 + sqrt(3) + sqrt(27) - sqrt(3)))**2).\nAnswer: -610 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**3*o**3 + 3*m**3*o + 24*m**3 + 2*m*o - 21*o**3 wrt m?\nAnswer: 18*m*o**3 + 18*m*o + 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 m when three letters picked without replacement from wmwymmumur?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 462743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5}. Give prob of sequence aa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -68, -138, -206, -272?\n\"Answer: q**2 - 73*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 6*d**2 + 5*d - 7. Let w be j(5). Let z be ((-11 - w) + 4)\/4. Solve 2*m = -z*m + 3*t - 22, -4*m = -2*t + 28 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -28*k + 26*k. What is the greatest common factor of 54 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125786 - 1221*r - 125786.\nAnswer: -1221*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10 = -19. Suppose -3*p - 25 = 2*p, -3*k - o*p = 6. Solve -20 = k*d + d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 86 (b) -0.3 (c) 2\/11 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(2400\/640*(-4)\/3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**5\/60 + x**4\/8 + x**3\/2 + 34*x**2. Let j(c) = -2*c**2 - 7*c - 7. What is 4*j(n) + 10*s(n)?\nAnswer: 2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 + 0.34. Sort -1\/2, -0.3, -5, k in descending order.\nAnswer: k, -0.3, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -51. Let t = 23 - f. Is (2 - 1) + t + 325 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**1)**(-4\/27)\/((k\/(k*(k\/(k\/k**1))\/k*k))\/(k\/(k**8*k))))\/((k**(-1\/4))**10*(k**(-1))**(-24)) assuming k is positive.\nAnswer: k**(-1555\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 14*w - 7. Let d be b(6). Let f = 148 - 144. Suppose 4*a - 3*o - 105 = 2*a, -f*o = 20. What is the highest common factor of a and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 17*x - 82. Let i be p(5). Suppose -i*m + 532 = -4*s - 121, 3*m - 613 = -4*s. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/33 greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/36? (a) -0.3 (b) -1\/3 (c) 0.02 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -13*v**3 - 5*v**2 - 5*v + 5. Let t(r) = r**3 + r**2. Let k(x) = -96*x**3 - 52*x**2 - 28*x + 28. Let y(b) = k(b) + 24*t(b). Give 28*l(o) - 5*y(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.5 - 6. Suppose 4*u - 5*h - 10 = -46, 0 = -5*u - 5*h - 45. Let p be u\/126 + 1\/2. Which is the closest to -0.1? (a) p (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*b + b**4 - 96*b + 0 + 1 - 2*b**2 + b**4 to the form k*b**2 + g + w*b + i*b**3 + f*b**4 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -213 - -277b68?\nAnswer: 277955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*b + 12, -b - 7 = -2. What is h in -4\/3 + 2*h**3 + 4\/3*h**k - 2*h = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a90 + 309?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718206 is divided by 358914.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1d3 (base 16) to base 12\nAnswer: -32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 135 - 344 = 251 for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -121, -293, -533, -841, -1217?\n\"Answer: -34*b**2 - 2*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 5*x - 12, 5*q + 5*x - 115 = 0. Suppose -14*k + q = 12*k. Let m = 18 + -11. Calculate the highest common factor of m and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 5*v - 8*v. Let y(z) = 6*z - 1. Suppose -3*t = 5*a + 119, 2*a = -6*t + t - 59. Let c(r) = 23*r - 4. Let x(p) = a*y(p) + 6*c(p). What is b(x(f))?\nAnswer: -6*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -393, -861, -1517, -2361, -3393, -4613?\nAnswer: -6021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -27. Which is the nearest to 0? (a) 5 (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o = 31*o - 15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32441 - -2?\nAnswer: 32443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 13*c + 28. Let i be n(12). Let g = 20 - i. What is the common denominator of ((-16)\/10)\/g + 5 and -3\/13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/175)\/((9\/24)\/(135\/36)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 5*s**4 + 0*s**4)*(-1 + 1 + 4)*(1 - 5 - 9 - 1 - 3 + 7 + (2 + 1 - 2)*(0 - 2 + 4) - 1 + 0 + 0).\nAnswer: -144*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 - 5*z**2 - 6*z - 6. Let i be y(-3). Suppose -i*k + 43*k = -20. Solve -16 = -4*c + 4*f, 9 + 7 = k*c - 5*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**2 + 224*p + 464 = 0.\nAnswer: -2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -477, -482, -499, -534, -593?\n\"Answer: -p**3 + 2*p - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - t - 24 + 9, 3*t + 1 = 4*n. Solve -8*h = -44 + n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = v - 25, 5*y - 1679*v = -1677*v - 78 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.78 (b) -4\/3 (c) 423\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 76?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/2 + 2281*r**3\/2 + 705733*r**2\/2 - 2281*r\/2 - 352866 = 0. What is r?\nAnswer: -276, -1, 1, 2557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/(r\/(r**(-2)\/r))))\/r*r\/(r\/((r\/r**(-3))\/r)))\/(r\/r**(-1\/2)*r**(-3)*r))**(1\/13))**8 assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13674*p = 13683*p - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**3 + 184*a**2 - 40*a - 148. Calculate k(-37).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103824.6 rounded to the nearest one thousand?\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124025 is divided by 31000?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 94 = -5*d, 2 = d + h - 12. Let r = 22 - d. Suppose r = w - 83. Calculate the highest common factor of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + 79*g**2 + 28*g + 494. What is u(40)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 < 324\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 395830 rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 5*o + 2. Let a(t) = 2*t**2 + 10*t + 3. Let w(b) = 6*a(b) - 11*g(b). What is w(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**3\/8 - 105*y**2\/8 + 882*y + 64827\/2 = 0.\nAnswer: -42, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 771, -1\/11, 0.4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(63)*-3)\/(sqrt(18)\/sqrt(128)).\nAnswer: 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166166805?\nAnswer: 3, 5, 7, 1582541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 14172 = 26*f - 36*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4757461 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -586 + 589. Solve 4*w + 3 = 3*g, -5*w + 3 = -m*g + 6*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10133027.\nAnswer: 41, 101, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -f + 16 + 63, 0 = 2*s - 3*f - 18. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9646*p + 90675 = 8437*p for p.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**3 + 1994750*w**2 + 198971324125*w + 3978628622500 = 0.\nAnswer: -199465, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - -4.97. Which is the third biggest value? (a) 0 (b) k (c) -14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(-16) + -4 + 1\/4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (395700\/(-18))\/((-9005)\/(-9000) + -1). What is r rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t**2 - 304\/21 - 2\/21*t**4 - 472\/21*t - 50\/21*t**3 = 0 for t.\nAnswer: -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-1))\/3*(-3)\/10\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/24 + 134\/24 + -29 + 24. Are z and -0.429 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-108)\/27 - (-3)\/(3\/401). Suppose -2 = -395*k + j*k. Sort -2, -0.1, 0.3, k.\nAnswer: -2, k, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 8*i + 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -236*j*n**3 + 121*j*n + 4*n**3 + 7*n - 384 wrt j.\nAnswer: -236*n**3 + 121*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -134824 divided by -33706?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 + 3*v + 10. Let y be c(4). Let h = y + -66. Solve -2*r + 8*w + 19 = 3*w, -h*w = -r + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 567\/(-1 + 2)*(-223)\/(-24). Let y = 5275 - x. What is the common denominator of 99\/2 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 13\nAnswer: 40\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 2:56 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -548, -880, -1212, -1544?\n\"Answer: -332*o - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*i - 4*i**4 + 3*i + 21*i - 7 as x*i**2 + a*i**4 + f*i**3 + z + m*i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, -0.3, -84, -2\/11, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1335?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*19\/(-38))\/(2*5\/(-15519220)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 13*z**2 + 37*z + 30. Let l be w(7). Let c(k) = 4*k + 29. Determine c(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30012381 >= 30012387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d. Suppose -2*f + 5 - 1 = d, 5*f = 3*s + 13. Let l(c) = -3*c - 1. Determine l(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 999625 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -43*b - 393. Let h be r(-9). Let j(x) = -x**3 + x**2 + 3*x. Let k = -36 + 32. Let l(u) = u**3 - u**2 - 4*u. Determine h*j(n) + k*l(n).\nAnswer: 2*n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2. Let m(p) = -3*p + 14. Let a(k) = 0*k - 74 + k + 69. Let j(x) = 7*a(x) + 2*m(x). What is -4*j(n) - 14*w(n)?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-nine halves of a second?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {z: 2, l: 3, c: 9, t: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 6:50 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Let u(k) = 4*k**n - 3*k**3 - 2*k**3 - k**2. Let v be (-4)\/10 + (-12)\/20. Give u(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 11*a + 17 + 21, -3*b - 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 + 17. Let t = p + 50. What is the third biggest value in -4\/7, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/65? (a) 0.2 (b) -1\/8 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 3. Let d(h) be the third derivative of -h**5\/60 - 10*h**2. What is f(d(y))?\nAnswer: y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -42 - -25) + -8 + 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13 + 0.07. Which is the second biggest value? (a) 3 (b) i (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2995954733 + -0.3.\nAnswer: -0.0004045267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f**3 - 38*f**3 + 20*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -6, -28, -78, -168, -310?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 7113 and 7568 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*n + 210*n = 251216 - 261086 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2550369 - 6377736. Let b = 2612367 + i. What is b rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30.738 + -33.738. Let o be (2\/(-6))\/((-1)\/4). Which is the nearest to o? (a) 1\/2 (b) 5 (c) -2\/7 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*h - 24, -16 = 5*h - h. Let a be (-5)\/(10\/t)*11\/(-22). Let n(r) = -r**3 + 2*r**2 + 3*r - 4. Let f be n(3). Sort f, a, -3 in descending order.\nAnswer: a, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-497)\/994*92\/1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.7 (b) -1 (c) 213 (d) 5 (e) -130.7 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2217?\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7691 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 5*w + 2*w - 6*w + 0*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 20, -3*o - 2*s - 7 - 3 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**3\/3 - 8. Let z(j) be the first derivative of 8*j**3\/3 + 1. Determine z(p(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n - 0*n. Suppose 3*l + n = -c + 31, -4*l - 4*c + 36 = 0. Suppose -3*q + l = -70. Which is greater: q or 25?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**4\/11 + 108*t**3\/11 + 474*t**2\/11 - 580*t\/11 = 0.\nAnswer: -5, 0, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 22*g**3 - 7052*g + 14115*g - 7063*g.\nAnswer: 22*g**3 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -1799342?\nAnswer: 1799337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 24, -292 in increasing order.\nAnswer: -292, -5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(3357 + 7) + (4 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytkkkygknyk. What is prob of picking 1 g and 1 k?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28826.\nAnswer: 2, 7, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/20 and 27\/522088.\nAnswer: 2610440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 998*b - 1 + 1 - 2002*b + 1005*b. Let v(d) = 31*d**2. What is r(v(y))?\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9 = 4. Sort b, -6, 3 in descending order.\nAnswer: b, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1913*i = -1770*i - 11011 for i.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*j - z - 2*z, -2*j = z - 31. Suppose b + 0*w - j = 2*w, -15 = -b - w. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 667, -1, -32, -6, 0 in descending order.\nAnswer: 667, 0, -1, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364367133?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s - 3. Let r(m) = 5*m + 3. Calculate -7*k(c) - 6*r(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 650 - 951. Let r = -209 - s. What is the highest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2 - 6*u - 2. Let r(j) = -3*j**2 + 4*j + 1. Let y(z) = 5*q(z) + 8*r(z). Determine y(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19494a (base 15) in base 13?\nAnswer: -341182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/62676 and -74\/99.\nAnswer: 689436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*l**4 - 4*l**3 + 4*l - 5*l + 74*l**4 - 2*l**2 + 0*l**2 in the form c + u*l**2 + h*l + d*l**3 + o*l**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7199*u + 14866. Give m(-2).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22534616 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 k when four letters picked without replacement from {m: 2, k: 10}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v + 2*v**2 + 3*v**2 - 1 - 4*v**2. Let o be (-11)\/(-4) + 1\/4. Let n = -7 + o. What is r(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2030568.\nAnswer: 2, 3, 19, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15648 = 1175*m - 248*m + 44607 for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfa when three letters picked without replacement from awqfwwowo?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 2. Determine t, given that -t + 1 - 3*t**o - t**2 + 5*t - t = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*v + 6*v - 3308, 4*h + 2*v = -2636. Let y be h\/(-18)*(-6)\/(-4). Factor -5 - y*j + 55*j**3 + 62*j**4 - 17*j**4 - 5 - 35*j**2.\nAnswer: 5*(j - 1)*(j + 1)**2*(9*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 28 = -8*r. Suppose r*b - f = -0*b + 19, -4*f - 12 = 0. Suppose -b*g = 2*g - 1326. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/10)*q)\/((q*q\/(q*q\/q**(-1\/7)*q))\/q)*((q**(3\/4)\/q*q)\/q)\/(q\/((q**16*q)\/q)) assuming q is positive.\nAnswer: q**(2631\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/300*(-3)\/(-4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 7\/10*l**5 + 11*l + 0 + 7\/6*l**4 - 4\/21*l**3 - 4\/7*l**2. Solve c(z) = 0.\nAnswer: -1, -2\/7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -17, -1\/97, -2\/7, -9, -0.2?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -2*x**2 + 0 - 11\/6*x**3 + 0*x - 7\/6*x**4. Is n(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(-25)\/k*k*k)*(k**(-14)\/k)\/k*k**(5\/4)\/((k**(4\/23)\/k)\/k))**(-23) assuming k is positive.\nAnswer: k**(-927\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22521 - -1?\nAnswer: -22520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*v + f + 13, 2*v - 5*f = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 2, -1\/5, -0.0047, -5, -0.062, -2\/17?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -494*s + 941*s - 448*s. Let z be 5 + (-1 - 1) + 0. Let y(t) = 2*t - 2*t - 6*t + z*t - 2. Calculate y(d(u)).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3062\/(-354) + 4506\/(-265854)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70824892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + k + 3. Let d(j) = j**2 + 814*j + 190. Let l(w) = d(w) + 5*t(w). Factor l(p).\nAnswer: -(p - 205)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17420 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234565 is divided by 127.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 1. Let c(f) be the second derivative of 5*f**4\/12 - f**3\/3 + 3*f**2 + 589*f. What is -c(s) - 4*o(s)?\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f = -16*f - 7. Let k be f\/4 - ((-603)\/36 - -13). Solve -t = -k*t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/1985?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15478361.01 nanoseconds to weeks.\nAnswer: 0.000000025592528125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 - 213. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(77)\/((sqrt(110) + sqrt(110) + sqrt(110)*4)\/sqrt(10)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17358 - 4*t - 2*t**2 + 8676 + 8702.\nAnswer: -2*t**2 - 4*t + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (0 - -1)) + 38 + -34\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -1411?\nAnswer: -25\/1411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28208\/7 - -4030. What is the nearest to 110 in 2, -1\/11, 0.3, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180.2172 + 167.416632. Let g = z - 0.198952. Let h = -13 - g. What is h rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 784132, 1568261, 2352388, 3136513?\n\"Answer: -a**2 + 784132*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 1730*j + 6883. What is y(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4400*a**2 + 28*a.\nAnswer: 4*a*(1100*a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19374485, -38748990, -58123517, -77498078, -96872685?\nAnswer: -116247350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (965 - 965 + 131*s)*(-508*s + 781*s - 3 + 0 - 401*s) to z*s**2 + t + m*s and give z.\nAnswer: -16768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -838\/5471?\nAnswer: -838\/5471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -124*-2123880\nAnswer: 263361120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 10*x**2 + 6*x + 14. Let i be m(10). Suppose -3*a - 16 = -5*h - i, 0 = -a - 4*h + 25. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3874, -31105, -105018, -248953, -486250, -840249?\n\"Answer: -3890*m**3 - m**2 + 2*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 4055\nAnswer: 3\/4055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37451 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145 + 15. Let a be (-78)\/x*1*25. Which is smaller: 19 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2008 = 3*a + 5*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, -28, -22 in descending order.\nAnswer: 118, -22, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 + 20*r + 23. What is h(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4727, 9199, 13659, 18101, 22519, 26907?\n\"Answer: -u**3 + 4479*u + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.016 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Suppose -2*y = p*v - 10, y + 5 = 2*y. Let z(b) = -b**2 - b + 9. Is z(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*u = 82*u - 2280. Suppose -2*z = i - u, 2*i + 3*i = 0. Let f = 28 + 2. Calculate the greatest common factor of f and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + 1 + -2 + sqrt(192) + 4 + 1 + sqrt(192))**2*-6 + (3*(-3 + sqrt(192))**2 - -4*sqrt(192)*4))*-3.\nAnswer: 3504*sqrt(3) + 29583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 12*k**2 + 2*k - 5. Let p(w) = w**3 - 2*w**2 - w - 3. Calculate the remainder when v(-3) is divided by p(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 307 = 6*p - p, -2*r + 4 = 0. What is the highest common divisor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 10*s - 10. Let l be m(8). Suppose -2379 + 159 = -5*j. Suppose l*g = g + 4*r + 449, -5*g + j = r. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -336*v**2 + 128*v**2 + 204*v**2 + 80*v = 0?\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 4\/((-16)\/12). Let x(t) = 4*t**2 - 4*t. Calculate the remainder when x(s) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741217.\nAnswer: 17, 59, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let y(a) = -a. Let v(o) = 5*g(o) + 4*y(o). Let w(p) be the first derivative of -2*p**3\/3 - 5. Calculate v(w(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 5:27 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381*o = -384*o - 9. Let i = -0.58 + -34.42. What is the nearest to 1 in 1, i, o, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335587596.\nAnswer: 2, 3, 61, 103, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 134, 223, 334, 467?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 69\/(4 - 20\/8). Suppose r = -77*c + 79*c. What is the remainder when 114 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r**2 + 12*r**2 - 28217816*r + 28217816*r.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/3*-3 - -3. Let d = 138 - f. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106525 = -3*a + 5*q, 16833 + 18708 = a + 3*q. What are the prime factors of a?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5202899 is divided by 1269?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 155 and -0.0855202.\nAnswer: -13.255631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 7*p + 8. Let n(u) = -2*u + 47. Let f be n(18). Let i = f + -18. Give y(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11*l + 11*l + 19*l)*(-2 - 1 + 2) + 12*l + 6*l + 32*l)*(-3*l**3 + 3*l**3 + l**3 + (-l**2 + l**2 + l**2)*(0*l + l - 2*l) + 2*l**3 - 2*l + 2*l).\nAnswer: 62*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*1\/2 + 44 + 1. Let b = 65 - r. What is the remainder when b is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.009594 + 44.737406. What is x rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5573880 by -1404.\nAnswer: 3970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 438728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -16\/367, 5, -2\/19, -4\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*j**5 - 2*j**3 + 2103*j wrt j.\nAnswer: -2180*j**3 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/138 and 73\/18?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 11*j + 70. Let q be ((-129)\/135 - -1)\/(2\/j). Suppose 0 = -0*h - 2*h - 8. Sort h, 0, q in ascending order.\nAnswer: h, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 2, w: 1, h: 1}. What is prob of sequence gh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3913 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*a**2 + 81*a**2 - 255*a**2.\nAnswer: -101*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159600 = 69*x - 13*x. Is x a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -6. Let u be j\/(-4)*4\/(-6). Let y = u + 8. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a milligram in micrograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*l + n - 4, -2*l - 9 = 5*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 + 24 - 24.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-2) - (-15 + 5). Suppose 4*t - 18*t + 73*t = 0. Solve t*q + n = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5712, 11077, 16088, 20745, 25048, 28997?\nAnswer: 32592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/7 + 16957*c**3\/7 - 8478*c**2\/7.\nAnswer: -c**2*(c - 8478)*(2*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*v - 19, -3*v + 3*t + 35 = 20. Let m(k) be the third derivative of -k**4\/8 + 2*k**3\/3 + k**2. Determine m(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.3 - 10.3. Sort 0.2, -3\/4, k, 1\/7 in decreasing order.\nAnswer: k, 0.2, 1\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49037 + -33403. What are the prime factors of j?\nAnswer: 2, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6277685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -29594425 divided by 4?\nAnswer: -29594425\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*i - 146080 = -1566*i for i.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -21\/4, 4\/5, -4, -169 in ascending order.\nAnswer: -169, -21\/4, -4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 778 + -778. Let w = -0.09 - -1.09. What is the nearest to -1 in 2\/5, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -87*k. Let h(n) = 2*n**2. Determine t(h(u)).\nAnswer: -174*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j - 109 - 43*j + 111 + 19*j.\nAnswer: 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 + 42 = -2*q, -4*l = -3*q + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -17*o - 46. Let t(g) = -18*g - 47. Let u(l) = 2*h(l) - 3*t(l). Differentiate u(w) wrt w.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 + 49 = -3*q. What is the highest common divisor of q and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 4)*(-2*u + 7 - 6 - 2) + u + 2*u + u)*(-28*u**4 - 642*u + 642*u).\nAnswer: 56*u**5 + 84*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 111029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19856828989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(325))*4 + (sqrt(325) - (sqrt(325)*-3)**2*3)*3 + -5.\nAnswer: -26330 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10567146 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511, -510, -509, -508, -507?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -141 - -3a9?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5556724649?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2184 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102995992?\nAnswer: 2, 11, 73, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -20*h**4 + 12*h**3 + 6828*h**2 - 48092*h - 20328 = 0.\nAnswer: -21, -2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1676?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32024954*x**3 - 86979255*x**2 wrt x.\nAnswer: 192149724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-22336)\/464 - -64?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*k + 17 = 0, -2*d - 25 = 423*k - 420*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -100, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 11411341?\nAnswer: 11411333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 3*u - 20. Let s be (-176)\/(-12) - u\/(-6). Suppose -a - 65 = -3*h, -h = -0*h - a - 23. Calculate the greatest common factor of s and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*x + 5*h, 4*x + 9*h - 6*h + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-11 - 6) + 21 - (4 - -1)) + 19\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, r: 6, b: 4, m: 1, h: 4}. What is prob of picking 1 p and 3 b?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o - 5*o - 3*o)*(-8 + 164 + 113 + 158)*(3 - 2 - 2) to c*o + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*t**2 - 8*t**2 + 5*t**2 - t**2 to the form n*t**2 + m*t + j and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2 = -2*j. Let u be 4*j\/2 - 1. Differentiate -u - 16*x**4 + 11*x**4 + 0 wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -21. Suppose 21*r = b*r + 1. Let x(p) = -17*p + r - 7 + 3. Let y(u) = -6*u - 1. What is 4*x(j) - 11*y(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Let z = q - -1. Let n = -5454\/11 + 496. Which is the nearest to -4? (a) n (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1807 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 12*h**2 - 11*h + 8. Let q be w(-11). Suppose -5*s - q = 3*c - 262, 0 = 4*s - 5*c - 218. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50651644 divided by 25325822\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165052*g - 165052*g + 462*g**2 to the form l*g**2 + d*g + n and give l.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1128 - 139*k + 1128 + 120*k + 16*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000313 to five decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + q - 1. Let j(c) = -2*c**2 - 3*c + 3. Suppose -9 = 5*f + 1. Let r(a) = f*j(a) - 6*x(a). Let i(p) = 4*p. Give i(r(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.474 and -489499621?\nAnswer: 489499620.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/7 of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 3*x - 44. Let u be (x - 2)*(7 - 58). Let l = u - 46. Solve 10*i - l*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2064*w + 1858*w + 943*w in the form u*w + f and give u.\nAnswer: 4865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Does 830 divide 265764019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103257508?\nAnswer: 2, 25814377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172422\/49028 - 315\/90.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 3. Let g(z) = z**2 + 13*z + 47. What is the lowest common multiple of g(-5) and f?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-15) - (-78)\/15. Suppose -20 = -0*d - 5*d - n*r, 5*d = -3*r + 28. Let t(z) = 3*z + 2. Does 23 divide t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*n - 11 + 6 = 0, 4*n - 30 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2ad (base 16) to base 6\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 784547.6 kilograms?\nAnswer: 784547600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o - o + 4*o + (4 - 4 + 1)*(2*o - 5*o + o) + 801 + 159*o - 801.\nAnswer: 156*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -540\/123041 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 75043, 299666, 674035, 1198150, 1872011, 2695618?\n\"Answer: 74873*y**2 + 4*y + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 65. Solve 0 = -j*h + 3 - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*k = 7 - 3, 0 = -2*l + 3*k + 13. Let b be l\/((-2412)\/(-14109)) - 2. Let p = 9\/67 + b. Find the common denominator of p and -49\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmjjmmmommjmmjom. What is prob of picking 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184281 to the power of 1\/2, to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1228 - -1244. Calculate the least common multiple of 1408 and w.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 5:05 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-50))\/(2\/5). Solve 3*t = b - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 48 - 2*y - 29.\nAnswer: -2*y + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + -28 + 80 + 0 + -4 + -4 + 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 117 = 5. Let a = q + 9. Calculate the remainder when a is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2196, 4412, 6642, 8892, 11168?\nAnswer: 13476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1870*0.239\nAnswer: -446.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 13. Suppose -u + 15 = -c*u, 0 = -4*m - 4*u - 20. Suppose -5*a = -3*g - g - 16, m = -2*g + 2. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9543 to 2 decimal places.\nAnswer: 1.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137739 to the power of 1\/2, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/sqrt(2))\/sqrt(3) - (sqrt(9)*-1 + sqrt(9))*4)\/(-1*sqrt(6)\/sqrt(2)*-1).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 7. Give i(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.1. Let v(g) = g**3 - 11*g**2 - 12*g + 6. Let t be v(12). Let c = t + -11\/2. Put n, 1, c in ascending order.\nAnswer: n, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4261, -8822, -13383, -17944?\n\"Answer: -4561*s + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 9*m**2 - 8*m + 21. Let n be v(-5). Let x = n + 46. What is the remainder when x is divided by 3\/(-2)*(-8)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065.212s in milliseconds?\nAnswer: 1065212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48\/5 - 64\/5*h - 28\/5*h**2 - 4\/5*h**3 = 0 for h.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35487 = x - 4*p - 228850, -x + p + 193390 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -b8?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 1\/1109, 0.05, -2\/13 in descending order.\nAnswer: 0.05, 1\/1109, -2\/13, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -758 - -760. Calculate the smallest common multiple of p and -1 + ((-72)\/3)\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*p - 44 = 86*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -247, -91, 3 in descending order.\nAnswer: 3, 2, -91, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*q - 24, a = 1 + 1. Let f(s) = -s**3 + s - 1. Let v(g) = -856*g**2 + 856*g**2 - 2*g + g**3 - 3*g**3. Let m(k) = q*f(k) - v(k). Factor m(w).\nAnswer: -2*(w - 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 279601?\nAnswer: -2795ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x + 1. Let z(g) = g**3 + 2*g**2 + 4*g - 4. Let c(l) = -2*l - 53. Let y be c(-26). Give y*z(o) - 4*h(o).\nAnswer: -o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311345088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14817 - 14817.1. What is the third smallest value in -7, 1\/3, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:42 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 8568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 927979.1km in micrometers?\nAnswer: 927979100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/17550 and -23\/3016.\nAnswer: 2035800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -251\/770 - -2\/77. Let y = 615 - 610. Which is the biggest value? (a) u (b) y (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.842294 millilitres?\nAnswer: 0.000842294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*u + 31 = -181*u + 1207 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31794 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.94258 years in centuries?\nAnswer: 0.0094258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 1. Let x be v(2). Let s(b) = -14*b**3 - 2*b**2 + 6*b + 1. Is s(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 32 - 17. Let z be (264\/r)\/((-19)\/(-28143750)). What is z rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j + 5*h - 2*h, -2*h = -4*j + 4. Let 2\/7*c**2 + j*c - 2\/7 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 - 5*l**2 + 4*l**2)*(0 + 0 + 2*l) in the form u + a*l + m*l**2 + q*l**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163 - 159. Solve -t - 9 = -r*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4872 - 0.01.\nAnswer: -4872.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4000 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15599270 divided by 380470?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 255.26 and 0.025.\nAnswer: 6.3815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 572 - -0.076.\nAnswer: 572.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 6*i - 11. Let j be k(8). Suppose w - j = 17. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, b: 1, c: 1, u: 3}. What is prob of sequence gu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3\/5 - 25308*c**2\/5 + 202293*c\/5 - 176988\/5 = 0. What is c?\nAnswer: 1, 7, 8428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 523, 499, 475, 451, 427?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 3. Let q be j(4). Let a be ((-2)\/(-5))\/(3\/5). Let h = 17.8 + -17.9. What is the third smallest value in q, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -21*g - 78*g + 17*g. Solve 0 = -v + 5, -g*c - c = -2*v - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 327, 441, 581, 753?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(165) - (sqrt(165) - 1*sqrt(165))) + sqrt(165))*-3 + sqrt(165))\/(6*(sqrt(80) + sqrt(5))))\/((2*sqrt(33)\/sqrt(3) - 3*sqrt(33)\/sqrt(3))*-4).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/((-15)\/18*52\/325)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 92*s - 3394. Give z(-28).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55838140 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 2:58 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 5*k**7\/42 + k**3\/2 + 5*k + 7. What is the second derivative of n(s) wrt s?\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 242 - 242.1. What is the nearest to 0.1 in t, 2, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = -290*q + 295*q + 11*z, 2*q + 34 = 2*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -18. Let i = y - -52. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b - 3. Let p be k(-4). Suppose -20 = p*r, 13 + 7 = s - 5*r. Solve -2*u + 1 + 3 = s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 5745*a - 85500.\nAnswer: -3*(a + 15)*(a + 1900)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Suppose 2*g - 12 = -2*g. Let f be k(g). Let v(t) be the first derivative of -t**4\/4 - 2*t**3 - 6*t + 2. Give v(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - -13*(-4 + 5). Suppose 8625 = w*o - 2525. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 8:33 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9605, -9450, -9193, -8834?\nAnswer: -8373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4479382407.\nAnswer: 3, 1459, 1023391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11442515 * -97.\nAnswer: -11.09923955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1 - (-1 + -14). Suppose -c*o + 220 = -4*o. Let h be (-62)\/(-6) - (-6)\/9. What is the greatest common divisor of h and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 60127*l - 60126*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 2 + 4 + 3 + 0 - 2 + (1 - 3 + 3)*(-4 + 3 - 3) + 5 + 0 - 1)*(9*s - 4*s + 4*s) + 4 - 4 - s)*(0*s**2 + 5*s**2 - 4*s**2).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7.6*58.915\nAnswer: -447.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 2*a**3 - 13 - 1 + 14*a - 1 - 2 + 8 to j*a**2 + q + s*a + g*a**3 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - sqrt(272)*3 - sqrt(17) - sqrt(119)\/sqrt(63).\nAnswer: -37*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*d - 11249*d**2 + 2*d**4 + 3 + 11250*d**2 - 21*d - 7*d**3 in the form k*d**2 + j*d**3 + x + u*d**4 + c*d and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**4\/24 - 2*n**3\/3 + n**2. Suppose -6 = -5*c - 16. Let o be i(c). Is o smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2403 and 0.862?\nAnswer: 2402.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-76))\/(705\/(-13395)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.15 (b) -8 (c) 121 (d) 7 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -10*u - 465. Let c be a(-46). Suppose -2*i = 5*m - 364, 4*i - m - m - 776 = 0. Let x = i - 595\/3. Is x equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37.061 * -151.4\nAnswer: -5611.0354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) - (-6)\/24 - -5. Let h(l) be the first derivative of -l**4\/24 - l**2 - 3. Let v(s) be the second derivative of h(s). Calculate v(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174866301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.2016915s to days.\nAnswer: 0.00014122328125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149\/7 - 21. Let p be 10\/(-65) + (-5392)\/(-65). Let s = p - 82. Sort -2\/15, z, s in descending order.\nAnswer: s, z, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 26*v + 157*v = 1610032. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-6 + 7) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5 + 1. Let o be 8 + f\/1 + -1. Let p be 25\/o*(-8)\/(-10). Solve -j + 2 + 4 = p*v, -2*j = 2*v - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*w + 77*w - 92*w**3 + 171*w**3 - 38*w.\nAnswer: 79*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1873708254\/2821 - -664200. Find the common denominator of 15\/56 and w.\nAnswer: 22568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*s - 2*s = -5, 0 = 5*q - 2*s + 2. Suppose 28386 + 25824 = -2*x + 5*g, q = 5*x - g + 135502. What is x rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -19. Let s = -4 - v. Suppose -48 = -3*d - 4*g, s*d - g = 6 + 51. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:25 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (1 - 2) - (-2050 - -2057)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v**2 + 100 - 2\/5*v**4 + 10*v - 26\/5*v**3 = 0. Calculate v.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354172 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, h: 2, w: 3, z: 2}. Give prob of picking 3 r.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 958*17.19\nAnswer: 16468.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100 (base 3) to base 5.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5348798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -0.4, -23, 3 in increasing order.\nAnswer: -33, -23, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - q - 226, -q + 17 = 15. Sort 0, -3, i, 4, -4 in increasing order.\nAnswer: -4, -3, 0, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -236 or -316?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -806.955 plus 2541775?\nAnswer: 2540968.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q*q\/(q*q**(-3\/14))))\/q**(-24)*q*q\/q**(-1\/2)*q*q\/q**27 assuming q is positive.\nAnswer: q**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggggrrg. Give prob of sequence grrg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (64\/(-6))\/(((-160)\/1368)\/10). Let l = -843 + r. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/8)\/((-12)\/32). Let h(p) = -p**2 - 4*p + 1. Let l be h(q). Let a = l - -18. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 62.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/((-225)\/12)*5. Let l = 5.2 - -0.1. Let u = 5 - l. What is the nearest to -0.1 in 5, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, d: 5}. What is prob of picking 3 d and 1 g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 17333*j + 190895. Determine w(-11).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*j + 16, 3*z - 5*j + 3*j = -4. Suppose -6*q = q - 49. Suppose q*m = -0*m + 28. What is the remainder when m is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g + 34 + 256 + 28 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(250))\/sqrt(5) - (sqrt(50) + (sqrt(150)\/sqrt(3) + 4)**2)) + 3 + 0 + sqrt(50) + sqrt(100)\/sqrt(2) + -3)*-2.\nAnswer: 80*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -10 times 111539\nAnswer: -1115390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021373 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + i**2 + i**5 + (0*i + 4*i**2 + 0*i)*(-i**3 + 2*i**3 - 2*i**3) - 2 - i**5 + 2 + (-3 + 3 - 2*i)*(i**4 + i**3 - i**3).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 13, i: 3}. What is prob of picking 4 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -1\/24*v**4 - 11*v**2 + v + 7\/15*v**5 + 1\/105*v**7 + 0 + 3*v**3 + 0*v**6. What is the second derivative of h(l) wrt l?\nAnswer: 24*l**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 25*k**2 + 401*k + 12. Give m(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r - 2. Find k, given that k**3 + 0*k**r + 5*k**3 - k**3 - 5*k**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313212 (base 4) in base 12?\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/285)\/(35\/105)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 510\/153*351\/65.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -624 = -77*q + 25*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 - 20 = -3*m, 4*g - 86 = -3*m. Calculate the smallest common multiple of g and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 2*h + 7. Let b(k) = -3*k**2 - 2*k + 6. Let j(v) = -2 + v - 2 - 3 + 5. Let l be j(6). Let x = 2 + -7. Determine l*i(u) + x*b(u).\nAnswer: -u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(847) + (sqrt(847)*-2*-2)**2)*-1.\nAnswer: -13553 - 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744263?\nAnswer: 13, 57251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 85.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 3. Let k(h) = 16*h + 26. Let f(l) = -k(l) + 6*q(l). Give f(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3 - 1 = -4*i, 4*i = -5*l - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 34 - 10 - 2*p - p**2 + 3*p. Let o be c(0). Suppose 0*k = -5*k + 300. What is the greatest common divisor of o and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98377?\nAnswer: 98377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 9:43 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s**2 - 9*s**2 - 1 - s - 1. Let y be t(-3). Suppose -3*z + 4*z + 2*u = 10, z - 5*u = y. What is the remainder when 17 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + 6*y - 3. Let g be l(-3). Suppose 1284 = 18*u - g*u. Calculate the remainder when u is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23021493?\nAnswer: 3, 11, 47, 14843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/5)\/(1\/(-5)). Let s = 4 + q. Which is the second smallest value? (a) -3 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -260 + 368. Let s = -107.99903 + i. Round s to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2889\/(-81) - (0 + -4 + 1178\/186)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1305327621.\nAnswer: 3, 13, 33469939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w**2 + 76*w - 19. Let h be u(-13). Let c(i) = i**3 - 2*i - 3*i + 2 - 6 - 3*i**2 + h*i + 1. Give c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -15 + 6 + (23 - -3 - 7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16, -0.4, 0.5, -10?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 14*x - 641. Calculate h(20).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1. Let h(g) = 2*g - 10. Let a(z) = 2*z**3 - z**2 - 2*z - 1. Let j be a(-1). Let v(t) = 26*t - 6. Let x be v(1). What is j*h(o) + x*m(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72960582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07655 + -0.062362. Let m = t + -0.0152. What is m rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inw when three letters picked without replacement from {n: 1, i: 1, w: 2, j: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -26*u - 329*u**2 + u**3 - 308*u**2 + 662*u**2 + 2. Let j be l(-26). Solve -5*x - 5 = -j*b, 0 = 3*b - 4*x - 5 + 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**3 + 33*s**3 - 819168*s**2 - 2*s + 819186*s**2.\nAnswer: 46*s**3 + 18*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1027398665?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 17*p - 25. Let j be q(15). Let z(v) = -4*v. Suppose 0 = -188*m + 195*m - 42. Let a(l) = 6*l. Calculate j*a(w) + m*z(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 79 in 4\/3, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 5*c - 5. Determine h(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 0*s**2 - s + 2*s**3 - 2*s**2 + 2*s**2 to g*s**2 + l*s**3 + p + f*s and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-12 + -5)) + -10 + 1 + -67.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100000101111001010 (base 2) to base 14.\nAnswer: -131d10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/2*1180\/20?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 1:44 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64397376 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6307, 6298, 6289, 6280, 6271?\n\"Answer: -9*u + 6316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.864976 rounded to two dps?\nAnswer: 9.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/837 and 42\/31?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 14*q**2. Let r(n) = 2*n**2 - 14. What is g(r(b))?\nAnswer: 56*b**4 - 784*b**2 + 2744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/13 - 6\/13*q - 6\/13*q**4 - 6\/13*q**2 + 14\/13*q**3 = 0. What is q?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80933.\nAnswer: 80933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -475, 1, -4 in descending order.\nAnswer: 1, -4, -5, -475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 - 2*p**2 - p**2 + p**2 + p. Let w be n(1). Solve 3*j + 12 = v, 8 = -w*j - 0*v - v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538037935 to the power of 1\/2, to the nearest integer?\nAnswer: 39218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*s**2 + 74*s**2 - 38*s**2)*(0*s**2 + s**2 - 2*s**2) - s**4 + 4*s**4 - 2*s**4.\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1409695 minutes to microseconds.\nAnswer: 8458170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 4*t. Let x be z(4). What is the remainder when 11 is divided by (6 - (2 + 0)) + x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 = 3*h. Solve h + 4 = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1098258 - -1098314.0033. Let g = -55.925 + -0.075. Let w = g + x. What is w rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q - 17*q = 4380. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 199 - 378. Let b = g + 258. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) + 45\/66. Put k, -3, 0, -1 in decreasing order.\nAnswer: k, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -2*a**3\/3 - 1. Let y(r) = -8*r. Let b(l) = 17*l. Let i(h) = 2*b(h) + 5*y(h). Determine t(i(f)).\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72653073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 25, 8, -545 in ascending order.\nAnswer: -545, 2, 8, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11187748 = 11187748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 = 23. What is the highest common factor of y and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13088479 to four decimal places.\nAnswer: -0.1309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3\/2 - 13*z**2 - 2*z + 52 = 0.\nAnswer: -2, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27724570*w + 61481106 wrt w?\nAnswer: -27724570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21048659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3575310\/(-34410) - (-2 - (-130)\/62).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4178 + 4181. Let z(w) be the third derivative of 0 + 0*w**4 + 13*w**2 + 1\/315*w**7 - 1\/90*w**5 + 0*w + 0*w**6 + 0*w**a. Suppose z(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000095329214 rounded to six dps?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20496524, 40993045, 61489564, 81986081, 102482596, 122979109, 143475620?\n\"Answer: -i**2 + 20496524*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83800 rounded to the nearest one thousand?\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 7165273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 781208683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Suppose -v + 30 = 3*u, -66*v - 20 = -2*u - 61*v. Solve 5*q - 3 = -0*f + g*f, 2*q = 3*f + u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13655 - -361?\nAnswer: 14236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 84, 159, 264, 399, 564, 759?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1028422*n*y**3 - 3*n*y - n - 3497209*y**3 wrt n?\nAnswer: -1028422*y**3 - 3*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682349071?\nAnswer: 19, 829, 43321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (43\/(-301))\/(2\/(-42)). Sort -5, r, 14, -3.\nAnswer: -5, -3, r, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3 - 5, 5*t - 85 = -5*k. What is the remainder when k is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 16*i + 7. Let s be k(4). Suppose 0 = -3*a - 4*w + s - 22, 3*a - 50 = -5*w. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109355 - -106.\nAnswer: -109249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-1600)\/40)*(-52)\/6.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*d = -106. Let b = d - 72. What is a in 5*a + 0 - 58*a**3 - b*a**5 + 2 - 62*a**4 + 2*a + 13*a**5 - 12*a**2 = 0?\nAnswer: -1, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287952*c - 19578 = 286446*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 + 5*z - 2. Let h(s) = -4*s**2 + 5*s - 3. What is -5*h(o) + 6*v(o)?\nAnswer: 2*o**2 + 5*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*w = z + 18, -z = -4*w + 18. Let c be (12\/18)\/((-4)\/z). Suppose 18 = 3*o + c. Solve 0 = -x + 5*h + 7, 5*x = -0*h + o*h - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 412965 and 65619?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**8\/224 - 3*o**7\/70 - 13*o**6\/80 - 3*o**5\/10 - o**4\/4 - o**2 + 1. Let i(q) be the second derivative of s(q). Factor i(c).\nAnswer: -3*c*(c + 1)**2*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 24*m. Suppose 0 = -5*q + 3*o - 109 + 708, 4*o - 342 = -3*q. Let s(d) = 118 + d - q. Give s(j(c)).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 5*s + 7 = h, 4*h - 25 + 14 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*r + 504 = 6*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0, -3, 12, -3688.\nAnswer: -3688, -3, 0, 2\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbbtbb. Give prob of sequence bt.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/5 - 68*u\/5 + 264\/5.\nAnswer: 4*(u - 11)*(u - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5*1\/30)\/(-1))\/(15090\/(-2012)).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from {q: 1, m: 1, f: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 300431177*a**2*s**5 - 37972*a**2*s**2 + a**2 + 477*a wrt s?\nAnswer: 18025870620*a**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -236*s**2 + 7*s + 6. Let t(w) = 236*w**2 - 8*w - 7. Let x(z) = -7*h(z) - 6*t(z). Let o(b) = -5*b. What is x(o(f))?\nAnswer: 5900*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 + 38314*g\/3 - 255160.\nAnswer: -2*(g - 19137)*(g - 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 178834\/9 - 20021. Let w = c + 20879\/144. What is the common denominator of ((-1)\/(-11))\/(8\/(-100)) and w?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.0030859\nAnswer: 0.0030859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1155.42.\nAnswer: 1155.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. What is the second derivative of -5*o**h - o**2 + 3*o**2 + 3*o - 5*o wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 11 - (3 - (3 - -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -31, -48, -69, -94, -123?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 547 and 19338091.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5 + 1132\/2830?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**2 + 6*r - 6. Let g(c) = -c**2 + c - 1. Let y(z) = -6*g(z) + h(z). Let b(a) be the third derivative of -a**5\/30 - 2*a**2. Calculate y(b(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 47004 divided by 11751\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145.9961659 - -145.989. Round n to four decimal places.\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 67422 and 2345856218?\nAnswer: 2345788796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -8*b**3\/15 + 73*b**2 - 182*b\/5 + 1164. Factor o(f).\nAnswer: -2*(f - 91)*(4*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = n + 28 + 27, 4*n + 190 = -2*o. What is the tens digit of (-356)\/(-30) + (-6)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/12 - (-5)\/15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a2 (base 12) in base 8?\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4249?\nAnswer: 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -503*i**6 + i**2 - 13*i wrt i?\nAnswer: -60360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 899906806 a multiple of 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(2*p - 5*p + 0*p)*(12 - 2 + 0) to the form l + i*p and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 481446 and 6?\nAnswer: 481446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 575 - 545. Let f = -3\/4 + 1. Which is the nearest to r? (a) -0.4 (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*g - 504, -7*i - 3*g = -8*i - 136. Let y = i - -81. Let k be 192\/y + 4 + 0. Which is the nearest to -0.1? (a) -4 (b) k (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643208221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12322, 24863, 37462, 50119?\nAnswer: 62834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 116\/38 - 14\/266\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -71, 3, 8058?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:26 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31, -2.2, 20?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -456, -836, -1170, -1476, -1772?\nAnswer: -2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:06 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4833351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1091, -1180, -1269, -1358, -1447?\n\"Answer: -89*i - 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 5*d**3\/3 - 12*d**2 - 2896*d. Let o(u) = -2*u + 5. Determine 11*o(b) + 2*v(b).\nAnswer: -2*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*k = 45, 3*w = -5*k + 7 + 39. Suppose -23*u + w*u + 5744 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*o = -p + 119, -2*o + 114 = 2*p. Let d = 58 - p. Is 28 a factor of 333\/d + (-1)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**8\/252 - 2*q**7\/315 + q**6\/30 + q**5\/9 + q**4\/9 - 8*q**2. Factor s(o).\nAnswer: -4*o*(o - 2)*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15005981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1108\/18275 - 6\/425. Let a be (-6)\/(-27) + 4 - 4. Which is greater: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezxz when four letters picked without replacement from {e: 1, z: 3, x: 2, k: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49524? (a) -4 (b) 0.5 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/(6\/36). Solve 0 = 2*b - g*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 17280*l + 17277*l - 34556*l. Let d(i) = 5*i. Give -d(s) - 6*u(s).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2 + 6*r - 2. Let i(g) = g**2 - g. Determine -3*i(k) - v(k).\nAnswer: 2*k**2 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 33, 4, -4, -11, 13 in descending order.\nAnswer: 33, 13, 4, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1082048 = -20*w - 13*w + 91*w. List the prime factors of w.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -11*g**4 + 10*g**3 - 27*g**2 - 80*g - 56. Let w(h) = 4*h**4 - 3*h**3 + 10*h**2 + 27*h + 19. Let c(t) = -3*o(t) - 8*w(t). What is p in c(p) = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 11 - 5*s**2 - 3 + 6*s**2 + 11*s. Let l be w(-10). Is (-519)\/l - (-12)\/(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 6) to base 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 195765*i**2 + 23957750*i.\nAnswer: -5*i*(i - 122)*(i + 39275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -198 + 224. What is the remainder when 153 is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -918, -3690, -8322, -14820, -23190, -33438?\nAnswer: -45570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8867404 and 3276?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from {n: 10, g: 9}.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 55 = 23*u. Let m(t) = 4 - 3*t - u*t + 4*t + 6*t. Determine m(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2898.97us in milliseconds?\nAnswer: 2.89897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101090, 203733, 306376, 409019?\nAnswer: 511662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2687399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -37. Let a be 1\/(-1) + (-105)\/(10 - 25). What is the highest common factor of a and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 36108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 495 = 6*g. Let k be 4\/6 + 75\/9. Calculate the greatest common divisor of k and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*y - 1094, 0 = -5*y - 4*w + 1474 - 362. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 747, -1 in decreasing order.\nAnswer: 747, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(448) - (1 + sqrt(448)) - -2*sqrt(7)*1) - (sqrt(448) + sqrt(448) + 2 + sqrt(343) + 0)*-4)**2.\nAnswer: 376*sqrt(7) + 61856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93 + 93 - 7*a + (-2*a + 0*a + a)*(5 - 3 - 4).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15 + 1392\/20. Let x be l\/(-7) - -4*2. Sort 0, x, 4 in descending order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1681 - -1672.751. Let t = 0.287 + c. Let u = t - 0.038. Which is greater: 5\/2 or u?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 10*o**2 + 5. Let k be h(10). Factor -4*m + m**3 + 14*m**k - 46*m**5 - 20*m**2 + 2*m - 80*m**4 - 67*m**3.\nAnswer: -2*m*(m + 1)**2*(4*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7175 and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.059 + 1915604409693.\nAnswer: 1915604409693.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 16705 = -2*d, -3*r + 22641 + 2430 = 3*d. List the prime factors of d.\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 38*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(216)\/(sqrt(12) + sqrt(36)\/(sqrt(3)*1)))\/(sqrt(99)\/(sqrt(1331)*3)) + 3.\nAnswer: 5 + 33*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 171? (a) -7 (b) -2\/69 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, a: 7, k: 8}. What is prob of picking 1 k and 1 a?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 11:22 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -n + i, -51 - 7 = -2*n + 4*n + 2*i - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000935847 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 12. Let l be h(11). Let d be 3 + (l - 1) - 6. Let o = 0 - d. Solve o*c + 0*j = 2*j - 33, -c + 11 = 4*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 - 97 - 35 + 1)*(q**2 + 2*q**2 - q**2).\nAnswer: -514*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25280, 50566, 75852?\nAnswer: 101138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 2*y + 23. Let t = y - -87. Calculate the remainder when 72 is divided by t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -25, -42, -55, -58, -45?\n\"Answer: y**3 - 7*y**2 - y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 1:37 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-1 + 2)*(4 + -6). Solve q - i = -0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-635)\/(269875\/(-150)) - 2256\/34.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(5 + -2 + 2). Which is the second biggest value? (a) t (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhxhehmheettooth. Give prob of picking 1 h and 1 m.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-8))\/((-3)\/12). Let f(p) = -p - 1. Let q be f(a). Let m be ((-66)\/q)\/(-3)*4. Calculate the greatest common divisor of 66 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (21\/(-24) - -1) + 264345\/120?\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -0*s + 3*s. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1748920829?\nAnswer: 1748920829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 1\/3 (b) -1\/4 (c) -0.04 (d) -3869\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74568 = -5*l - 3*j, 2*l - 29827 = -2*j + j. Suppose -l - 5027 = -2*g. What is g rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 4. Suppose 3*v + v = 8. List the prime factors of -1*(v + -1) - p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 15.2. Let q = -0.05 + 0.55. What is the second biggest value in q, s, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268769?\nAnswer: 397, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -39*i**2 - 195*i - 2. Let y be j(-5). Let b(h) = -31*h**2 + 3. Give b(y).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4933428 = -2*o. Let a = 266643 + o. What is a rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b*j**3*u + 55*b*j**2 + b*u - 146*j**3*u + 3*j**3 - 2*j**2*u - 5*j*u wrt j?\nAnswer: 18*b*u - 876*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 423 - 418 = n, -2*x = -2*n + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5) + -7 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 1, e: 10, t: 7}. What is prob of sequence ts?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1164884166.\nAnswer: 12813725826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1410680 divided by 282136.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 277421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (19 - 23 - -59) + -9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -10*h**3\/3 - 6*h**2 + 20. Find the second derivative of q(x) wrt x.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 5)*(-d**2 + d**4 + d**2) - d**4 - 4*d**4 + d**4 + (-d**2 - 21 + 21)*(-3*d - 2*d**2 + 3*d).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 8*b = -558. Let z be 18\/5 - (-2)\/5. Suppose 14 = -z*h + b. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -4, -10, 0.2, -33.69.\nAnswer: -33.69, -20, -10, -4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*x**3 + 330*x**2 - 365*x + 60.\nAnswer: -5*(x - 12)*(x - 1)*(5*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*o**6 + 3*o**5 + 5*o**4 - 28*o**2 - o - 32.\nAnswer: -8520*o**3 + 180*o**2 + 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -14*a**2 - 8*a + 8. Let o(h) = h**3 - 10*h**2 + h - 7. Let n be o(10). Let m(z) = z - 3 + 6*z**2 + n*z - z**2 - z. Determine -8*m(j) - 3*v(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -132, -2, 82905 in decreasing order.\nAnswer: 82905, -2, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181946230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, e: 2, y: 4, j: 3}. Give prob of picking 3 y.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.25 + 0.15. What is the third smallest value in 0.1, -5, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.59 + -3.79. What is the third smallest value in 0, 3, -1, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -91*l - 1000. Determine h(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (-28 - -24 - -30) + -15?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-4)\/4)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*x - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 73.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*v + 341 - 108 + 515 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -23, -58, -107?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 172.6, -94, 0 in descending order.\nAnswer: 172.6, 0, -0.3, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 204843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2. Suppose v = 2*v - 3*q - 7, 3*v + 11 = q. Let w(h) = 28*h + 16. Let b(d) = 9*d + 5. Let z(x) = v*w(x) + 16*b(x). What is u(z(i))?\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/7*7*(-18)\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**3 - 4*h**2 + 6*h - 3. Let l be 5\/7 - 22\/(-77). Let r(m) = -m**3 - m**2 + m - 1. What is l*z(v) - 4*r(v)?\nAnswer: -v**3 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 + 51 = -2*v. Let i = v + -22. Suppose 0*x = 5*x - i. Calculate the remainder when 20 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.932908 hours in seconds?\nAnswer: 6958.4688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009414 rounded to four dps?\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**3 + 10*g**2 - 2*g - 3. Let z(x) = -x**3 - x**2 - 1. Give h(o) + 6*z(o).\nAnswer: -3*o**3 + 4*o**2 - 2*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.9 - -0.57?\nAnswer: 17.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33315768, -33315771, -33315774, -33315777?\nAnswer: -33315780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 57. Let t = p - 28. Is 13 a factor of t*(2 + (-15)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 + 3*c + 3. Let f(l) = -6*l**3 + 17*l + 17. Let n(m) = -3*m**3 + 8*m + 8. Let d(p) = -4*f(p) + 9*n(p). Determine 3*d(w) - 4*z(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 5*q - 3. What is the tens digit of t(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(-20*r**3 + 142*r**2 - 142*r**2)*(0*r + 2*r - 4*r) to the form g*r**3 + j*r**2 + k + q*r**4 + u*r and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q**3 - q**2 - 3*q - 3. Give h(-2).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 220351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8905?\nAnswer: 5, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205408332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1144 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.18 and -0.6955.\nAnswer: -3.8755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-3 + -4 + 1 + 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -283 + -18b392?\nAnswer: -18b655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d - 18. Let o(l) = l**2 + 4*l - 12. Let t(v) = -v**2 - 4*v + 13. Let z(j) = -7*o(j) - 6*t(j). Determine z(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72840 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180 - -1264\/7. Which is the closest to 1\/3? (a) 1 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811 is divided by 107?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-210)*-7)\/((-1)\/(-1))*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -443 - -948. List the prime factors of b.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {k: 1, m: 12}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfd. What is prob of picking 1 j and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 112231099 to the power of 1\/2, to the nearest integer?\nAnswer: 10594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8504672 by -352.\nAnswer: 24161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 2. Let v be l(0). Is v < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:37 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x - 33 = 2*s, 0 = -5*s. Let o = 37 + x. Let a be (8\/5)\/(2\/5). Solve o*g + 4 = -a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 37*n - 1919. Determine s(52).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2073327 is divided by 185.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46.8 - -47. What is q rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0 + 10. Let q(t) = -8*t**2 + t**3 + 11*t + 2*t**2 - t**c - 5*t**2 + 4. Let r be q(11). Solve r*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - y**2 - y)*(268 - 3*y - 131 - 143) in the form c + p*y + b*y**2 + u*y**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9880809 = -32919191. Round c to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*c - 671, 2*c - 334 = 11*b - 9*b. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 6:31 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 11*z**2 + 7*z - 51. What is l(5)?\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52049 times 0.054?\nAnswer: -2810.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 68*c**2 + 553*c + 467. Calculate z(-7).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -14*v + 52. Let t be x(4). Which is the nearest to -5? (a) t (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 241290 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n + 173. Calculate u(21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580056 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - h = -0*p - 204, 5*p + 5*h + 510 = 0. Let g = p - -121. Calculate the remainder when 69 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -1618 + 1600. Which is the smallest value? (a) t (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 17 - -3) + (-53 - -42)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffuhfhhfhhhdddfh. Give prob of sequence ff.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*35.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**7\/1400 + a**6\/300 - 3*a**5\/40 + 27*a**3 + 88*a**2. Let r(z) be the first derivative of p(z). Factor r(t).\nAnswer: 3*t*(t - 3)*(t + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/5)\/(a*a\/a**(2\/5)*a))**(-8\/13)\/(((a\/a**(1\/4))\/a*a**2)\/(a**1*a*a*a)**(7\/5)) assuming a is positive.\nAnswer: a**(245\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - m. Let i = -57 - -63. Let c(v) = -6*v + i*v**2 + 6*v + 7*v - v. Let s(h) = 3*c(h) + 36*f(h). Find the second derivative of s(y) wrt y.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7549420 is divided by 2581.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 80151233 + 80151233 + 42*g - 43*g.\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*f - 10021, 55 = -3*z + 64. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 9*c - 7*c. Let v(h) = 5*h - 2*h**2 + 4*h**2 + h**3 + 6 + 4*h**2. Calculate v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5))\/(662\/(-23170))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4808.00004036 - 4808. What is a rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -55865.383.\nAnswer: 279326.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w + 2*w + 4 + w. Let j(b) be the second derivative of 5*b**4\/12 + 6*b + 8057. Determine h(j(d)).\nAnswer: -5*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21815)\/(-3) + 31\/93?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 4. Let c be 6\/15 + 39\/15. Let p be w(c). Suppose 0 = 3*b - 3*o - 18, b - o + 30 = 4*b. Solve -5*m = -4*r - 33 + b, -r = p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17e (base 16) in base 6?\nAnswer: -1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24752.\nAnswer: 2, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - b = -389, 4*a = -3*b + 225 + 174. What is the smallest common multiple of a and 144?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -373747.9 and -0.3.\nAnswer: 112124.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 443.0686 + -443. Let x = 0.9314 + z. Which is the nearest to x? (a) -0.2 (b) -2 (c) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-7 + (-4 - -8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -0.4. Let d = 1.2 + -0.2. Let b = z + d. Sort b, 5, -3 in decreasing order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-4\/9)\/i)\/i)\/(i**(-1\/7)*i) assuming i is positive.\nAnswer: i**(-145\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -471*w**3 + 11*w**2 - 47*w - 41. Is r(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 185 = -463. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4\/15 + 4148*x**3\/5 + 19369082*x**2\/15 + 2580056*x + 3868840\/3 = 0. What is x?\nAnswer: -3110, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 526*g + 10577. What is a(-20)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**2*n**2*s**2 + 2*c**2*n**2*s + c**2*n**2 - 41*c*n**2*s**2 + 5*n*s + s wrt s?\nAnswer: 6*c**2*n**2 - 82*c*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 38\/152 - (44\/6)\/((-24)\/23121)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 11:56 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(275) - (sqrt(275) + sqrt(275)*1 + 2) - ((2 + sqrt(275))*5 + sqrt(275)))*-3)**2*4.\nAnswer: 26880*sqrt(11) + 489196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 + 13 = 0. Let z be 4 - (-4)\/(f\/20). Which is smaller: z or -3\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7ab805 (base 16) to base 5.\nAnswer: 4024330001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 316*b**2 - 6080*b - 6400.\nAnswer: -4*(b - 40)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 10:42 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by -3986.\nAnswer: 53\/3986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(10)\/sqrt(5) + sqrt(2) + sqrt(2))*-3)**2 - ((-1*sqrt(8))**2 + sqrt(72)*3).\nAnswer: -54*sqrt(2) + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-493)\/(-58))\/(2\/(-20)). Put k, 2, -2, -7 in decreasing order.\nAnswer: 2, -2, -7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 1)*(-4)\/8. Is -3 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 2*j - 1. Let s(u) = -u - 5. Let x be s(-6). Let c be -2*((-5)\/2 + x). Let t(k) = -k**3 + 2*k**2 + 5*k - 4. Let g be t(c). Calculate a(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 637999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -59fc?\nAnswer: -5a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 347200 divided by -6200\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 19 = -k, -2*v + 74 = -4*k + 30. Suppose 4*d + 331 = -3*q + 2*q, -2*d + 2*q = 178. Let x = d + 192. 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: Suppose 2*o = j + 2, j + 10 = 5*o - 4. Suppose -v = 3*k - 10, j = 4*v + 4*k - 9*k. Solve v*n = -6 + 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-12) - (-5)\/(20\/(-9)). Let x be (-8)\/(-6) + (-2)\/b. Solve -x*n - 2*n = 3*w + 10, -n = -w + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - -0.1. Which is the fourth biggest value? (a) -0.4 (b) 5 (c) 2\/7 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 322736 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52318.43ml?\nAnswer: 52.31843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22975 - 22968. Calculate the lowest common multiple of l and 39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-14) - (-27137)\/77. Suppose -4*v = 16, 6*h - 3*v - q = h. Let k = 571 + -548. Calculate the remainder when h is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2825, -22648, -76453, -181232, -353977, -611680, -971333, -1449928?\n\"Answer: -2832*l**3 + l**2 - 2*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (204*(-2)\/((-120)\/15))\/(6\/(-2))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 - 2*v**2 + 3*v**2)*(-33 - 2 - 30) to u*v**2 + n + z*v and give u.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101557000 less than -0.01?\nAnswer: 101556999.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, 6, 4, 2527, 0, -4 in descending order.\nAnswer: 2527, 144, 6, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 2*z**3\/3 - 3*z**2\/2 - 23*z + 17. Let l be u(10). Calculate the highest common divisor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 14) to base 13\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -459.414 - -459. Let l = g + 0.37. What is l rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*q - 4278206 + 4278206.\nAnswer: -192*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53\/76 - -121\/3116. What is the common denominator of y and ((-5321)\/(-119) - 45)*3?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 4*j + 5. Let x be r(-7). Suppose -3*s - x = -8*s. Let b = s - -24. Calculate the greatest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4467275 (base 9) in base 8?\nAnswer: -11134403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z = -2. Suppose 5*b - 73 = b + 5*p, -b + 2 = z*p. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 708\/(-96) + 2119\/(-1304) + (-542)\/(-62).\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154570609.\nAnswer: 29, 677, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1641 * 39\nAnswer: 6.3999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2746384 to the power of 1\/2, to the nearest integer?\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2831.\nAnswer: 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5621711.\nAnswer: 577, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 152*g**3 + 7*g**2 - 16*g + 4. Is v(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 225*j**2 - 219*j + 1217. Differentiate c(t) wrt t.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 734\/10 - 9\/(225\/10). Suppose -493 = -2*i - p. Is i a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 71, 101, 129, 149?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 570*m**3 + 6*m**2 - 28*m - 567*m**3 - 2 + (-3*m**2 - 3*m**2 + 4*m**2)*(m + m - 4*m).\nAnswer: 7*m**3 + 2*m**2 - 28*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3281, -564, 2153?\nAnswer: 4870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -55 + 360. Let t = 19 - 33. Let f = t + o. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - -245. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 - -102. Suppose 2*q = -v - 2*q + 2, 3*v + d*q = 6. Solve w - v*w + 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 520162, 1040326, 1560490, 2080654, 2600818?\nAnswer: 3120982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**3\/6 + 2*z**2 - 4*z. Let n be c(-8). Put -1, n, 5 in decreasing order.\nAnswer: 5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3)\/f)\/(f*f**5))\/(f*f*f**(1\/3))**0 assuming f is positive.\nAnswer: f**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + 0 + -6)*5*-1. Let q(h) be the third derivative of -h**5\/60 + h**4\/24 + 5*h**3\/6 + 10*h**2. Determine q(s).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**11))\/(((x**2\/x)\/x)\/x))\/(((x**(2\/3)*x*x)\/x)\/x**10))**(-38) assuming x is positive.\nAnswer: x**(-2318\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1189, 5, -2 in increasing order.\nAnswer: -1189, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1167334 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 r when four letters picked without replacement from {z: 7, r: 6}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 18}. Give prob of picking 2 s.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0174 - -93.4174. Let h = z - 93.2. Let g = -6 + 5.6. Sort -8, g, -2\/3, h in increasing order.\nAnswer: -8, -2\/3, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2))**(1\/37))**(-1\/14)\/((r*r**2\/r*r*r)**(2\/3))**(1\/72) assuming r is positive.\nAnswer: r**(-1009\/27972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10524 + 10523.58. Which is greater: -23 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37352042?\nAnswer: 2, 7, 13, 15787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 7*r - 26. Suppose -5*x - 16 = -6*x. Let j(w) = -36*w**3 + 16*w**2. Let l(f) = 7*f**3 - 3*f**2. Calculate r*j(u) + x*l(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 213, 215?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 158489 divided by 30\nAnswer: 158489\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 32 = 8*s. What is the units digit of 74\/s - 8\/32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - v**2 + v + 2. Let g be w(0). Let s be 1*4 + (1 - g). Which is the smallest value? (a) -2 (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.44 - 0.5. Let u = 8 + -6. Let n = -189.7 - -193.7. Sort n, u, m.\nAnswer: m, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p + 721 = 15*p + 53*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 0.5 (b) 3\/7 (c) 5\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*q - 23, -3*q + q = 5*n - 20. Suppose 5*k - n*k = 0. Suppose 2521 = 114*f + 2293. Solve k = -f*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/4*56\/21. Let a = t - -8. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.494 * -370.3.\nAnswer: -182.9282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**4 + 52*t**3 + 180*t**2 + 188*t + 64 = 0. What is t?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6056.831 litres to millilitres.\nAnswer: 6056831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 6*h**2 + 12*h - 13. Let n be v(4). Suppose -124 = -n*k + 200. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12186.\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.83067331 to two dps.\nAnswer: 24.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 2*a**2 - a - 8. Let l be m(3). Let c be (5\/l)\/(4\/(-8)). What is the highest common divisor of 80 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f**2 + 6*f**2 - 4 - 12*f**2)*(10 - 1 + 2).\nAnswer: 22*f**2 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84\/23 + -5521\/1518. Let r(t) be the second derivative of -1\/33*t**3 + 4*t + 0 - f*t**4 + 6\/11*t**2. Solve r(p) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 30. Let f be p(-25). Solve -5 = c, -3*h - 2*c = -f*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 5*d**5\/12 - 7*d**4\/8 - d**3 - 67*d**2 + 2*d. Let z(s) = -5*s**2 + 4*s + 1. Calculate 2*p(w) + 11*z(w).\nAnswer: -5*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 - -2. Let y = c - 0.5. Let t = -1 + 0.8. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-12)\/(-22))*(-1401)\/467?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o. Let s(u) be the second derivative of -u**6\/720 - u**4\/6 - 3*u. Let i(m) be the third derivative of s(m). Calculate i(k(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70780 - 14541 = 1552*x + 653*x + 2879 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.544 - -64.156. Let k = -62 + j. Round k to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13700 + -93700. Round n to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(5 + -9*(-181)\/(-326)). Let h = x + -320. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 287.1 - 287.0998063. Round r to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4443 + -41003?\nAnswer: -31010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 235 - 119. Let l = 121 - f. Which is the second biggest value? (a) 0.5 (b) l (c) -55 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-25) - 52\/(-10). Let c = 9 + -6. Suppose 7 = c*z + 1. Calculate the greatest common factor of p and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) 14 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -53, -2 in increasing order.\nAnswer: -53, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -727, 5, -5, 1 in ascending order.\nAnswer: -727, -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 1. Let u(p) = p + 1. Let a(l) = -3*u(l) - 5*y(l). Let g be a(4). Suppose 5*b - 105 - 95 = 0. What is the highest common divisor of g and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0666 * 0.9.\nAnswer: 0.05994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.75 (b) 7\/3 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28530 divided by -6.\nAnswer: -4755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**5\/15 - 159*i**4\/2 - 1900*i**3\/3 - 169*i**2 - 4*i. Determine z, given that q(z) = 0.\nAnswer: -475, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8295761ms to minutes.\nAnswer: 0.000030492935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003358786 to 6 decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j = -3*j - 13512. Let l = -557 - j. Suppose -14 = -3*v + 4*s - 4, -5*s = 5. Solve -q + l = x - 4*q, -q = v*x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -351 - 159. What are the prime factors of l?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3))**33*(v**(-20\/9)\/v)**(-2\/49) assuming v is positive.\nAnswer: v**(-43601\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggssgssgsssgssss. What is prob of sequence sgg?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 1431.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0049965235 + -0.02?\nAnswer: -0.0249965235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4 - 16. Suppose -f*a = -11*a + 72. Let t be (2 + -2 + -1)\/(4\/(-32)). What is the highest common factor of a and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1248131330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13423 times -0.04\nAnswer: 536.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*x - v, 4*x - 34 = 4*v - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21184*z**5 - 4*z**2 - 1853.\nAnswer: 1271040*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 0.09, -1.4, -0.4 in descending order.\nAnswer: 3, 0.09, -0.4, -1.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3737853261?\nAnswer: 3, 19, 131, 166861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 30*a + 39. Calculate r(32).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3343228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 451 = 28*l + 176 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Let b = -11 + 4. Let h = -7.1 - b. What is the closest to h in -1\/2, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -963 divided by 128138?\nAnswer: -963\/128138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1968.20007923 + 1968.2. What is t rounded to six dps?\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y = -15*y - 68 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10000012 (base 3) to base 5\nAnswer: 32232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 - n + 2. What is w(6)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5102, 2, -3, -23, -0.3, -0.2.\nAnswer: -23, -3, -0.3, -0.2, 2, 5102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 9, -4, 8 in decreasing order.\nAnswer: 9, 8, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*v - 33166, 2*p + 6*v = 11*v + 13280. Suppose 11*k - 16*k = 2*m - p, -2*m = k - 1326. Is k a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7156*g - 193834 + 50714 = 0 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 6. Let m be y(-7). Let f be (0 + 1)*m\/(-1). Let l be 1\/8*-1*-1. Which is the nearest to f? (a) 2 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*a = 256*a - 520 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 41955*c - 335641. What is t(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 622744872 divided by 2256322\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(640))\/sqrt(8) + 0.\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*k - m, 4*m - 188 = -2*k - 208 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*m**3 - 5*m**2 - 3*m - 8808 wrt m?\nAnswer: -87*m**2 - 10*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 y, 1 j, and 1 x when four letters picked without replacement from ewxyj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + 2*x**4 - 3*x**2 - 5*x**4 + 9*x**2 + 13 - 9*x**2 - 2*x + x**4 as n*x**2 + o*x**4 + m*x + i*x**3 + h and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4*k - 644*c**4 + 9*c**3 + 5*c**2 - c*k + 1130*k + 5 wrt c?\nAnswer: 48*c*k - 15456*c + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*t + 12 = 0, 0*z - 2*t = 2*z - 8. Suppose 2*m + 2*m + 2*s - 202 = 0, -z*m - 2*s = -149. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7 = -r - 6, -8 = -4*r. Suppose -4*l + n*l = 2. Suppose 4*s + 87 = b, 101 = b + l*s + 32. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = 4. Suppose -v*w + 5 = -11. Suppose 2*y + 5*u - 13 = -y, -4*y - w*u = -12. Is -1\/23 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -5 (b) -0.2 (c) -0.5 (d) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2145\/12 + 2\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -119, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -688*z**6 - 921*z**2?\nAnswer: -82560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*q + 25 = 0, -3*q = 3*o + 2*q - 15. Suppose 0 = n - 0*n + k - 10, -o*n = -k - 38. Calculate the remainder when 15 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45\/2 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 + 4*t**3 + 10*t - 9 + 0*t**3 - 10*t**2. Let k be x(9). Suppose m + 0*m - 4 = k. Solve -4*v + 21 = m*q - 3, -4*v - 3 = -5*q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/4 - 1881*y**4 - 79253*y**3\/2 + 114984*y**2 + 2332233*y\/4 - 1561815 = 0. What is y?\nAnswer: -23, -4, 3, 7545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (7 - 18) + 5 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 623848*u - 6. Let w(n) = -18*n**2. Give y(w(o)).\nAnswer: -11229264*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8813988 divided by 36\nAnswer: 244833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 7*k - 9. Let l be h(-6). Let y = l - -2. Suppose 0*p + 3*j = -2*p + 1, p + 3*j = -1. What is the closest to y in p, -3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 4*h = -24. Let q be (9 - (-1 - -7)) + h\/(-3). Solve -8 = -4*b - 4*o, 0 = b - q*o + 9 + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5*p\/p**4)\/(p**(-3\/8)\/(p*(p\/(p**3*p))\/p))*(p*(p**(2\/9)\/p)\/p*(p\/p**6)\/p)\/(p*p**3*(p\/p**(-4))\/p) assuming p is positive.\nAnswer: p**(-1109\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100110010001001 (base 2) in base 10?\nAnswer: 117897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 3*o**5\/20 - o**4\/6 - o**3\/3 - o**2\/2 - 126*o. Let x(h) = -4*h**3 + 3*h**2 + 2*h + 1. Give 2*x(d) + 3*y(d).\nAnswer: d**3 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -475 - -2?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68148 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1771.\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56036\/9 or -6225?\nAnswer: -6225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3 - 5*a + 13 + 4*a. Let x be o(5). Let y be (-15)\/12*4\/(-1). Solve 2 = 3*r + x*v, 3*v + 1 = -y*r - v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2 - 91175*o + 401321250 = 0.\nAnswer: 7425, 10810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(-132*h**3 - h + 65*h**3 - 236*h**3).\nAnswer: -303*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.0796 times 48\nAnswer: -99.8208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 4)*(-4*y + 5*y + 0*y + (2 - 2 + 1)*(5*y - 2*y - y) + (-3 + 3 + 2)*(y - 3*y - 8*y)) to the form v + q*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2841606 and 1578670.\nAnswer: 14208030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 8, 4*j - 7*j + 2*o + 14 = 0. Let a be (j\/(-6))\/(1*-1). Let f = a - -1. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 2:34 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -14 (c) -0.4 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 250\/(-3) + 4\/3 + -2. Let c be (48\/b)\/((-4)\/14). Solve 2*a - 3 = -4*j - 15, 0 = -c*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 + 6\/15 + 4\/(-10). Let b = 0.2 + 2.3. Let t = b - -0.5. What is the second biggest value in t, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 6. Let r(i) = 7*i - 12. Let n(j) = 9*p(j) - 4*r(j). Let b be n(0). Let h be b\/(-33) - (-6)\/(-33). Does -3\/23 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 15. Let h be x(11). Sort -4, -3, h, -2 in descending order.\nAnswer: h, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4230, 8504, 12778, 17052, 21326, 25600?\nAnswer: 29874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4930, -5123, -5650, -6679, -8378, -10915, -14458?\n\"Answer: -28*i**3 + i**2 - 4903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -24042*v - 2235921. What is g(-93)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/32 and -105\/52.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -241, -0.1, -0.4?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 3)*1\/3. Let l = -13\/3 + 73\/21. Let n(d) = -d**2 + d - 1. Let k be n(1). What is the closest to k in -4, l, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -0.2 (b) 0.04 (c) 2 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71167.99 litres in millilitres?\nAnswer: 71167990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -226*l**3*u**3 - 116*l**3*u + 7*l**3 + l*u + 57*l - 16131*u**4 - 9*u - 2 wrt u?\nAnswer: -1356*l**3*u - 193572*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 260642a?\nAnswer: 2606433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -41*g + 415. Calculate h(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**3 + 32*v**2 + 1525*v + 282. Give d(24).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*f = -140*f - 16. Let z be (-318)\/8 + (-3)\/f. What is the smallest value in -0.4, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3 = 4*i. Suppose 0 = 2*y - 4*m + 6, -4*y + 7*y - 12 = -m. Suppose 3*q + 0 = -3*t - y, -5*t = 15. Sort q, -4, i in increasing order.\nAnswer: -4, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -910 (base 10) to base 5.\nAnswer: -12120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2387\/4 (b) -175 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 4\/5 (c) -10\/27 (d) -0.4 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5, -3338 = 3*a - 7*r + 6*r. Is -1*(2 + a + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*z**3 - 11*z**3 - 40*z - 8*z**3 to the form a*z + f*z**2 + j + y*z**3 and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6*4 + 0. Let x be ((-5)\/u)\/5*2. Let o be 0 - x - (-25)\/5. Solve -o*y + 4 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1209*s + 8 = 2*w + 1204*s, -20 = -5*w - 4*s. Let n(j) be the second derivative of -3\/5*j**2 + 0 + 17*j - 1\/60*j**w - 7\/30*j**3. Factor n(h).\nAnswer: -(h + 1)*(h + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-30))\/(1940\/(-162960)).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 27*g - 18. Give z(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 12534222 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, m: 17}. Give prob of picking 2 b and 2 m.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 16. Calculate j(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509*u**3 - 4*u**3 - 44*u + 52*u - 8*u - 2.\nAnswer: -513*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -5241?\nAnswer: 5240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -2*b**4\/3 + 53*b**3\/6 + 3*b**2 - 63*b + 8. Determine u(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/55942291 and 29\/13162892.\nAnswer: 223769164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/35)\/(2\/(-10)) - 134. Let z = n - -139. Solve -6*b + 4*o = -b - z, -3*b + o = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 26*z - 84*z + 22*z + 29*z - 52. Let q be (-3)\/12 - 62\/8. Let g be k(q). Which is the fourth biggest value? (a) 11 (b) -0.2 (c) g (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 53*a**2 - 1279*a - 52998. Determine l(-49).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -157, -1, -3.\nAnswer: -157, -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 17*c - 20 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -361775?\nAnswer: -361772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 0*d - d**2 - 4*d + 16 - 10*d. Suppose 83 - 248 = 15*r. What are the prime factors of i(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 9:36 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, u: 3, e: 2, a: 1, d: 1, p: 3}. Give prob of sequence appe.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -30, -48, -66?\n\"Answer: -18*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -11*u**3 - 3*u**2 - 89*u + 283. Determine z(3).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766425926?\nAnswer: 2, 7, 17, 79, 40763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 22*r + 121 = 20*r, -a + r = -26. Suppose f - 11 = -4*d, 5*f + a*d - 26*d = 147. Let m = 65 - 38. Calculate the least common multiple of f and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 12:47 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.9487209s?\nAnswer: 948720.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - 2*p**2 + p**2 + (66*p - 2*p + 162*p)*(-p + 2*p + 0*p) - 2*p**2 + 0*p + 0*p)*(3 - 1 - 1).\nAnswer: 223*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*d**3 + 345*d**2 - 1488*d + 576 = 0. Calculate d.\nAnswer: 3\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*4\/(-8))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2118 and 4436151.\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 61*t + 401. Calculate the lowest common multiple of 1045 and j(-7).\nAnswer: 11495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -89.1 from 0.021.\nAnswer: 89.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 5*r**2 - r**3 + 4 - r - 4*r. Let z = -5 - -9. Calculate n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3961 and 748.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -16*v**2 - 3*v + 3. Let j(g) = -g. What is j(s(d))?\nAnswer: 16*d**2 + 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 - 8*f**2 - 2*f + 10. Let p(q) = -q**3 - 7*q**2 - q + 9. Let d(m) = -2*k(m) + 3*p(m). Give d(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 573.03 - 570. Let r = h + -0.03. Let u = -4 + 1. Which is the biggest value? (a) 2 (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7437 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 46, 40, 30, 16?\n\"Answer: -2*k**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d. Let u(o) = 2*o**2 - 3*o + 1985. Calculate u(r(q)).\nAnswer: 2*q**2 + 3*q + 1985","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.909 + 13.709. Sort -2, -0.1, 28, j in decreasing order.\nAnswer: 28, -0.1, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1096102, -1096115, -1096128?\n\"Answer: -13*p - 1096089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -270273 (base 8) to base 11\nAnswer: -64a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*f - 83, -3*f = -t - 6*f + 43. Let c be (-1)\/(-4)*(-57012)\/15. Let a = c + 956. Find the common denominator of a and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 11 + 1321*s - 35 + 9 in the form m*s + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -53457 divided by 3?\nAnswer: -17819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-3))\/(-2) + (-30)\/(-4). Suppose 1984 = c*p + p. What are the prime factors of p?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6469152 is divided by 685.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -18692\nAnswer: 37384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39700720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 5*q**4\/4 + q - 65. Let h(r) = 5*r**2. Give h(x(v)).\nAnswer: 1125*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -229*z**3 + 2387 + 761*z**3 + 1005*z**3 + 1321 with respect to z.\nAnswer: 4611*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/24 and 79\/20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00813 rounded to four dps?\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 702 - -4?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose -2 = r - 2*r. Suppose 0 = -5*c - 2*z + 100, 7*c - r*c = -z + 100. Calculate the highest common factor of c and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - a - 6*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5921 - 0?\nAnswer: 5921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.2. Let p = -47 + 46.5. Which is the closest to x? (a) p (b) 2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 27 - 7. Solve 2*g = 3*g - j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*g + 43 = 3*g, 0 = 2*g - 6. Let r = -32 - i. What is the smallest value in -0.4, r, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 17 - 14)*(-4*p + p**2 + 4*p)*(-14*p - 2*p - 4*p).\nAnswer: 520*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19360.624 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 612\/4 + 1 + 2. Calculate the greatest common factor of 516 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(432)*1 + sqrt(432)))\/((sqrt(540) - (sqrt(540) + (sqrt(540)*3 + sqrt(540) + sqrt(540) - sqrt(540))))\/sqrt(3)).\nAnswer: -sqrt(3)\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*b**4 - 9 + 3*b**5 + 39*b + 19*b**4 + 6*b wrt b.\nAnswer: 60*b**3 + 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)\/v**5)**(5\/7)*(v**(-1\/5)\/v*v*v**3\/v)**(2\/9) assuming v is positive.\nAnswer: v**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 3. List the prime factors of 1\/(3\/(-162)*k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 4 (c) 2\/25 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*z + 52*z - 4*x + 52685 = 0, -2*z + 2*x = -105310. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70991 + 70643 = 116*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 - -194. Let r = -18 + y. Suppose -4*q + 4*g + 80 = 0, -66*g = 2*q - 63*g - 10. What is the least common multiple of r and q?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 a, and 1 s when three letters picked without replacement from {o: 1, h: 1, n: 1, s: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3\/5 + 336*g**2\/5 + 2150*g = 0 for g.\nAnswer: -125, -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 3*s - 2. Let l be y(-2). Let m(u) = u**3 - 7*u**2 - 9*u + 3. Let h be m(l). Let g(w) = w - 6. Let d be g(8). Sort 4, h, d in descending order.\nAnswer: 4, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.16665 and 0.0856?\nAnswer: 0.08105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6\/5)\/(w*w*w*w*w**(-4\/13)\/w*w))\/(((w*w\/w**22)\/w)\/(w\/(w**(1\/17)*w))) assuming w is positive.\nAnswer: w**(17734\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 215, 432, 647, 860, 1071, 1280, 1487?\n\"Answer: -h**2 + 220*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*d + 2*d + 18 = 0, 2*m = 3*d + 38. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/95)\/(1\/1625*35) - (8 - -6)?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16165 + -80487\/5. Solve -h - 132\/5*f**2 + 897\/5*f + f**3 = 0.\nAnswer: 2\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 8\/7 (b) 2\/15 (c) -2\/3 (d) 0.5 (e) 199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 22, 29, 36, 43?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*t**3 - 103 + 103 + (2*t - 3*t - t)*(2*t**2 + 3*t**2 - 3*t**2) + 29*t - 32*t - 8*t**3 - t**2 - 3 + 5*t**3.\nAnswer: 21*t**3 - t**2 - 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46080049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 11*d**3 - 7*d**2 + 22*d**2 - 14*d**2.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 1 = 12*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 38 (c) -2\/13 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**2 + d. Let b(w) = -3*w - 2*w + 7*w + 15*w**2 + 0*w. Let p(t) = -6*b(t) + 13*c(t). Factor p(r).\nAnswer: r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/36)\/((-85)\/(-8)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 5*z = -3*b - 16, 0 = 2*b - 2*z - 12. Let p = -61 - -122. Let i = -34 + p. Calculate the remainder when i is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -4. Let h be -2*(-1)\/r*18. Let g = 21 + h. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145145 = -158*t + 142301 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 18 - 6. Let q be (2\/p)\/(1\/(4\/(-2))). Sort q, -33, -1\/5.\nAnswer: -33, q, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7 = 2*k, -2*r - 3*r - 4*k - 25 = 0. Let f = -1 - r. Let x be (11\/11)\/(2\/6). Which is smaller: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-24))\/((-2)\/(-6)). What are the prime factors of 664\/w + (-91)\/(-13)?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**5\/20 + 60*y**2. Let v(s) = -s - 2*s + 0*s. Determine z(v(r)).\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.92 - 14. Let y = p - 0.02. What is the second smallest value in y, -2, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264896469+-14\nAnswer: 264896455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.1 - 14.052. Let x = 5 + u. Let b = x + 7.152. Round b to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70.00000055 - -70. Round u to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2903*o - 94041 = 716*o for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010088245 rounded to six dps?\nAnswer: -0.001009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -2. Suppose 2*q + a + a = 4, -3*q - 8 = -4*a. Suppose w*c - 28 + 3 = q. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 28 + 32 = 0. Sort 4, -37, -5, b.\nAnswer: -37, -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 10. Let n = x + 3.06. Let v = -1.06 + n. Sort -4, v, -2 in increasing order.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2841403 or 2841400?\nAnswer: 2841403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k + 70. What is the tens digit of n(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106\/(-3)*(2781\/(-18))\/103?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-850)\/(-16) + 5\/(-40)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4}. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 1. Let p(f) = -2*f + 8. Let y be p(11). Let i be (o\/(-14))\/(4\/y). Sort -5, 3, i.\nAnswer: -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 476172, 476177, 476186, 476199, 476216, 476237?\n\"Answer: 2*b**2 - b + 476171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8708 + 2898 - 9*t**2 + 5*t**2 + 2906 + 2904.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8387*s**2 + 97915*s**4 + 26*s**3 - 195833*s**4 + 97916*s**4 + 27*s**6 wrt s.\nAnswer: 3240*s**3 - 48*s + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1925 and 6160.\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 177926\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56091*s - 56045*s = 276 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101468 + 51069 + 50399 + f**2 + 5*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from nnnnfvqfeffnnfev?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 8:59 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4762 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: What is the remainder when 15055 is divided by 487?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -2, -1 in descending order.\nAnswer: 71, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 12 = -3*y. Factor -3*v**5 + 0*v**4 - 8*v**3 - 3*v**2 - y*v**4 - 5*v**4 - v**3.\nAnswer: -3*v**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.4 - 8.1. What is the second smallest value in -1\/4, a, 0.4, -4\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**2 - 21*v + 19. Let m be c(-10). Let y = m - -109. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-3)*12\/(-2). Let o = -1.0907 + 4.0907. What is the fourth biggest value in -1, 0.1, o, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 + 22*c + 0 - 3*c**2 - 3*c**3 - 7*c.\nAnswer: -3*(c - 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4904886761 to the power of 1\/3, to the nearest integer?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -35.99206 at most as big as 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3763*o**2 + 3795*o**2 - 7556*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102479 + 162250. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19325 and 55.\nAnswer: 212575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 1\/6*l**4 + 0 + 1\/10*l**5 + 0*l**3 + 0*l**2 - l. What is the third derivative of h(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 2, a: 1, f: 5, x: 1}. Give prob of sequence hx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.9557 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 24*y - 4. What is the remainder when p(8) is divided by 59?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.056+1.898902\nAnswer: 1.842902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s\/((s**(-2)\/s*s*s)\/s)))*s**(-1\/4))\/(s**(-1\/3)\/(s**(-6)\/s)))**15)**(-1) assuming s is positive.\nAnswer: s**(235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*-3 + -3)**2*4.\nAnswer: 360*sqrt(7) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-931)\/49)*(-935)\/(-11).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.561841846 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5542495*o**2 + 1947552*o?\nAnswer: -11084990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y. Let n(z) = z - 1. Let l(a) = -a**3 + a**2 - 8*a + 1. Let s be l(0). Give s*v(x) - 3*n(x).\nAnswer: 4*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -277, -357, -443, -535, -633?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 18*t - 30. Let y be b(-11). Suppose -3*i = -y*i + 3960. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 12 = 0, -2*r - 1 = -y + 1. Which is the closest to -1\/2? (a) y (b) 0.01 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from eeggzeeuyegz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**2 - 12*u - 26. What is o(-5)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 571 - 9*r**2 + 570 - 2*r - 4*r**2.\nAnswer: -13*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -7010619950.\nAnswer: -7010619950.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 96419.\nAnswer: -192838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - ((2 - 3) + 2). Suppose o = 2*f - d - 8, 8*f - 23 = 3*f + d. Let g(b) = b**3 - 4*b**2 - 2*b - 2. Is 13 a factor of g(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 994159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*j**2*z**3 - 171*j**2*z + 2*j**2 - 2*z**4 - 14*z**2 - z wrt z?\nAnswer: 162*j**2*z - 24*z**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-111)\/(-148) + ((-30)\/(-8))\/3. What is the closest to y in -2\/15, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.9324 + 0.1024. Let u = 4.82 + x. Which is greater: -28 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((525\/(-10))\/(-7) - 7 - 532\/152) + 25\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -468377*p**4 + 98*p**2 - p + 23 wrt p?\nAnswer: -11241048*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27800320*p**5 - 2015185*p**2 wrt p.\nAnswer: 1668019200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -17. Suppose g*b = 2*b + f + 24, -2*b = -3*f - 20. Suppose 16 = -b*i + 112. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10034 is divided by 62?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/342 and 29\/5294.\nAnswer: 905274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/11 + 746*z\/11 + 2220\/11 = 0 for z.\nAnswer: -370, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**3*c*c**(-6)*((c\/(c*c**(-3)*c))\/c)\/(c*c*c**4) assuming c is positive.\nAnswer: c**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 13*p - 11. Let m be c(5). Let a = 62 - m. Let r(l) = 18*l - 9. What are the prime factors of r(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a day in minutes?\nAnswer: 27840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 16*q + 8*q + 5*q)*(-70660 + 70660 - 298*q).\nAnswer: -6854*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 651?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 51. What is the remainder when 14 is divided by (-188)\/(-36) + 6\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 9. Let n be c(6). Suppose -3*i - 234 = -n*o, 6*o - 3*o - 254 = -i. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30717 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -320545055 (base 6) to base 9\nAnswer: -11551868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/99 + (-2)\/36.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197.34 + -0.34. Let x = f + -199.78. Let q = 0.22 - x. Which is the second smallest value? (a) -6 (b) q (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.351 + 1.329. Let l = y - -0.32. Let z = 5 - 1. Put 0, l, -3, z in increasing order.\nAnswer: -3, 0, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**3 - 2*z**3 + 2*z**6 - 22*z**2 + z**3 - 2*z**2 wrt z.\nAnswer: 240*z**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -2\/13, 5, 6, 1\/5, -5\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1273918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36382318 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -717 + 751. Solve -16 - 18 = n*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = -0. Let g be ((-44)\/(-6))\/((-2)\/d). Let l = 2 - g. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 18*m**2 - 187*m + 326. What is u(8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 3, b: 1}. What is prob of picking 1 m and 1 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -107.\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.0661, -0.43, -4\/9, -1.42 in decreasing order.\nAnswer: 2, -0.0661, -0.43, -4\/9, -1.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1048 divided by -4.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-704976)\/18552 + 3\/(6\/302).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 13*s + 7. Let a be d(13). Suppose 4*g = 37 + a. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = 1. Suppose 2*n - 10 = -2*o, -u*n + 4*o = -22 + 6. Let j = n - 4. Which is the second smallest value? (a) -3 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1628 is divided by 163?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1030759*l - 1030762*l - 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, o: 3, r: 10}. Give prob of sequence ropr.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from nqqnnnnnnnnnnnqn.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, a: 2, q: 2, z: 1}. Give prob of picking 1 z and 1 a.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 24*g + 266. Let x be s(-11). Suppose 0 = -4*y - x*q + 6*q + 344, 3*y - 4*q - 253 = 0. Are y and 92 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1598610?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - 32.5. Let m = u + 74. Put -13, m, -5, 0.4 in descending order.\nAnswer: m, 0.4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 - 31*b + 80. Let q be i(3). Suppose -q*z + 39699 + 13873 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 + -54 + -64 - (1 + 5 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -319249 + 319086.9903. Let q = 162 + r. Round q to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 + 4*t**2 - t**2)*(-66*t**2 + 46*t**2 - 163*t**2 + (t**2 - 9*t**2 - 2*t**2)*(3 - 9 - 1)) as m*t**2 + n*t + u + l*t**4 + g*t**3 and give l.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -545 = -28*j - 97. Suppose 1469 + 1091 = j*g. What is the smallest common multiple of 12 and g?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/10 and -21\/1192615?\nAnswer: 2385230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3999, 1, 0.2, -0.4, 1\/2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/6, 6, -4\/5, -5, -5\/7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5536\/(-1038)*((-3)\/2)\/((-3)\/(-36)*-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3612 (base 12) in base 15?\nAnswer: 1be2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-3 + sqrt(3)*3)**2 - -4*(sqrt(3) - (sqrt(3) + -2))) + 2.\nAnswer: -26 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/4 - 12\/8. Which is the third smallest value? (a) -1 (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19531?\nAnswer: 19531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 3:57 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - c**2 - c**2 + 5*c**2. Let u(z) = -8*z. Let i(a) = -40*a. Let j(g) = 5*i(g) - 24*u(g). Give j(n(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, t: 1, k: 11}. What is prob of sequence bkb?\nAnswer: 77\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(192)*-4 + 3 - (sqrt(192) + 3*(-4 + sqrt(192) - sqrt(192)) + sqrt(192)))**2.\nAnswer: -1440*sqrt(3) + 7139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let k(w) = -4*w. Let f(z) = -k(z) - 3*u(z). Suppose 115 = 17*q - 12*q. Let x = q - 23. What is f(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfffh. Give prob of picking 1 f and 1 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/20 - s**5\/30 + s**4\/24 + s**3\/3 - 23*s**2. Let w be m(-1). Solve 0 = -5*a - 3*h + 5, -w*h = -5*a - 0*h + 45 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12816?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.051 from 9702485.\nAnswer: 9702473.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*sqrt(104)*-2)\/(sqrt(128)*-5)*1.\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1691 is divided by 141.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -5, 3, -1\/2, 792\/13 in increasing order.\nAnswer: -5, -1\/2, 2\/7, 3, 792\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**6\/60 - p**4\/12 - p**3\/2 - 2*p**2. Let n be z(-2). Let a = n - 10. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 7*l**2 + l - 4. Let y be c(7). Suppose -3*s + 3*b - 28 = -8*s, -3*b + y = 0. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 - 82. Suppose -g*t = -7*t. Suppose -c + 381 = -t*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4, -31\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*j - 12, 2*j - 8 = -b + 4*b. Let y be 208\/6*(-12)\/8 + b. Let o = y + 56. Solve -2*p + 4 = o, -2*w - 2*p + 2 + 0 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b**2 - 2*b + 5*b**2)*(-5 - 8 + 7).\nAnswer: -18*b**2 - 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28 from 3985984.\nAnswer: 3986012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2 and -23\/8980172?\nAnswer: 8980172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6592*m + 6575*m = -809081. Round m to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/15 and 35\/1758.\nAnswer: 8790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 1, c: 1, v: 2, l: 2, k: 1}. What is prob of picking 1 y, 1 l, and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34938.\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -15. Let d = 2 - -2. What is the smallest value in v, d, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 12 = -0*y. Solve 15*r = 14*r + y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36655477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2266455 and 28792?\nAnswer: 1069766760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2545552 and 3424.\nAnswer: 544748128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13211 divided by 4.\nAnswer: -13211\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121301121 + -33331?\nAnswer: 121201130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -563 + 562.896. What is h rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -55, -187, -445, -871, -1507, -2395?\nAnswer: -3577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -156.4 and -379.56086238?\nAnswer: 223.16086238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*c + 13. Let g be (2\/3)\/((-2)\/18). Suppose -6*v - 15 = 13*v - 4*v. Put v, -5, g, c in decreasing order.\nAnswer: c, v, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/11 (b) 5\/6 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57157\/12 + 4760. Let w = -76\/83 + -6253\/332. Calculate the common denominator of c and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from rnwtrowqt.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 709 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 + 9.75?\nAnswer: 306.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(2\/(4\/(-3))). Let y = j - -6. Find the common denominator of (28\/10)\/(y\/(-35)) and -45\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**5\/60 - j**4\/24 + 2*j**3\/3 + 2*j**2. Let y(c) = c**2 - c + 5. Give -5*r(f) + 4*y(f).\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k + 5. Let z(n) = n - 5. Let t(b) = 2. Let j(x) = 2*t(x) + z(x). Let s(r) = 5*j(r) + y(r). Let o(q) = 18*q**2. Determine o(s(f)).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3\/11 (b) 10\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, -0.1, 3.2426?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 a when three letters picked without replacement from xoolxxooallollxol?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, b: 15}. What is prob of sequence uuu?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o**2 - 103*o**2 + 71*o**2 - 220 + 2*o.\nAnswer: -19*o**2 + 2*o - 220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 8. Let c(f) = -7*f - 1. Let b = -20 - -14. What is the remainder when c(b) is divided by g(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= -122098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15, 49, 133, 291, 547, 925, 1449?\n\"Answer: 4*l**3 + l**2 + 3*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = y + 2, -4*y + a = -4*a - 13. Let s be -30 - (1 - 2\/y). What is the lowest common multiple of 2 and ((-12)\/9)\/(4\/s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 526.82 - 18.93786\nAnswer: 507.88214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -75117070831 and -441.\nAnswer: -75117071272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/4 - 1 - 2938\/(-104). Let o = z - 31. Which is greater: -21\/10 or o?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2373 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 133*w**6\/30 - w**4\/24 + w**3\/6 - 17*w**2. Let b be m(1). Suppose y = -3*y + b. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3571, -7072, -10577, -14086, -17599, -21116?\n\"Answer: -2*o**2 - 3495*o - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-3150)\/135)\/(-35)*90\/4)\/(-4)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*c + 127 + 152 = 0, 3*t - 2*c = 168. Let p = -20 + t. Suppose n - 2*n + 3*h = -p, -5*n = -3*h - 194. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 2, t: 1, f: 2}. What is prob of picking 1 y and 1 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r - 2. Suppose -r*i + 37 = -5. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.959 + -9.581. Let l = 10.54000913 + j. What is l rounded to seven dps?\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/680 and -67\/12.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 12 = -3. Suppose u = -2*b + 67. Suppose -29*v + b*v - 114000 = 0. What is v rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g - 4*g + 7 + g)*(-1 - 2 + 2 + (0 - 2 + 1)*(-2 - 2 + 2) - 1 + 0 + 3 - 398 - 75 + 40) in the form m*g + t and give m.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3200 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -356, -596, -1298, -2708, -5072, -8636?\n\"Answer: -41*o**3 + 15*o**2 + 2*o - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 w, and 1 v when three letters picked without replacement from {w: 2, z: 6, r: 3, v: 2, y: 1, d: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 1 + 53*n - 12 to f*n + v and give f.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-19))\/x*x)**35)**(-11) assuming x is positive.\nAnswer: x**6930","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 217 = 3*k - 100, 4*z + 94 = k. Let r = 79 + k. Let q = -114 + r. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48.5 - 25. Let c = m + -23. Sort 2\/3, 0.4, c, -2 in descending order.\nAnswer: 2\/3, c, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 0, 22, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 3*g**2 - g. Let p be x(2). Suppose 0 = -2*l - p + 6. Suppose c - 2*c - 10 = -4*z, -l*c = -2*z + 8. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5890 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -63ab98 (base 12) in base 16?\nAnswer: -180524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6706 + 6702.2. Which is smaller: 1.62 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/19 in 4, 12, 1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 11 = -k, -22*v = 3*k - 20*v + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 785203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 163 * -199120\nAnswer: -32456560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.288 minus -6.8?\nAnswer: 30.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 0*c**3 + 2*c**3 + (-21 + 24 + 13 + c**3)*(5 + 1 + 0).\nAnswer: 5*c**3 + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + f - 404 = 0, -2*p + 241 = -6*f + f. Let m(j) = -2*j**2 + 56*j + 5. Let i be m(29). Let q = i + p. What is the greatest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g + 3. Calculate i(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 99484.\nAnswer: 497420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17, 5, 109, 2\/5, -38, -3, 0.\nAnswer: -38, -3, 0, 1\/17, 2\/5, 5, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - (-206)\/(-8)) + 0 and 3\/((-18)\/50)*(-126)\/140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -156*i**2 + 1051*i - 55814714 wrt i?\nAnswer: -312*i + 1051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w**4 + 6*w**2 + w**2 + w - 7*w**2 + w**2 - 1 + 2*w**3 as v*w + c*w**2 + y*w**4 + z + r*w**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-68) + 14338\/1819.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 272*d**5*z**3 + 3*d**4*z**3 - 3480*d**2*z**3 wrt d.\nAnswer: 16320*d**2*z**3 + 72*d*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-2)\/((-2 - 0) + 0). Suppose y = 5*k + 3*k - 88. Let c(v) = v**3 - 4*v**2 - 3*v - 6. What is the lowest common multiple of k and c(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 55, -2694, 2, -1, 1 in ascending order.\nAnswer: -2694, -1, 1, 2, 19, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 240303172357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2696 and 1419444.\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.06, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/87 + -125\/29. What is the common denominator of v and 21*((-14)\/4 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1.9. Let k = -1 - -2. Let a = 1.1 - k. Sort s, a, -1 in increasing order.\nAnswer: -1, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -628703 + 629156.179. Let b = q + -453.11900024. Let m = b - 0.06. Round m to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1. Let p(m) = -4*m - 45. Let q be p(-12). Let t(y) = 4*y - 4 + 1 - 4 - q*y. Determine -35*d(c) - 5*t(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.6 - -2610.6. Let h = z + -2597.1239. Round h to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 7*u + 5. Let q be (-9)\/((-25)\/(-10) + -1). Give g(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o**3 - 13*o**2 + 7. Suppose 22 = -3*p + 5*p. Let s(n) = 7*n**3 - 7*n**2 + 4. Let x be (-29)\/((-1305)\/90) + 2 + (-30)\/3. Give p*s(g) + x*j(g).\nAnswer: -g**3 + g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17.18, -0.04, -4?\nAnswer: -17.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 5:36 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 54 = 5*n, -n + 3 + 4 = 3*v. Suppose 6*f - f - n = 0. Solve 0 = 3*j + b - 5, -2*b + 6 = 3*j + f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 16*x + 4*x**4 - 111*x**2 - 9*x)*(-3 + 6 - 2).\nAnswer: 4*x**4 - 111*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 212 + -1271\/6. Let n(o) be the third derivative of -2\/3*o**3 + 0 - l*o**4 + 5*o**2 + 0*o. Differentiate n(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*v - 23. Let n(g) = g**2 + 4*g + 27. What is the tens digit of n(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.36 less than -0.3?\nAnswer: 172.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 175293 = -4*u, -64*c = -3*u - 59*c + 131464. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 1:10 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 230*u - 1621. Let d be x(7). Sort -4, 5, -15, -3, d in descending order.\nAnswer: 5, -3, -4, d, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*v - 122 = -35, -5*z - v = -355. Let c(m) = 21*m**2 + 3*m + 1. Calculate the remainder when z is divided by c(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8, 819, -10\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352 - -63071.1523.\nAnswer: 63423.1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -3*q - 68, 0 = 125*r - 121*r - 2*q - 40 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 4*g**2 - 8*g + 28. Let w be y(4). Is -7 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (187\/(-85))\/(496\/310)?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q - 3. Let m be (-4)\/(((-6)\/(-4))\/q). Suppose 0 = 3*u - 33 + 9. What is the highest common divisor of m and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 27 (b) 0.3 (c) -2\/9 (d) -3\/2 (e) 2\/18575\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-60) - (2 + (-26)\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 0*n + 0 + 1\/24*n**4 + 4*n**5 - 5\/3*n**3 + 2*n**2. Let r be i(10). Round r to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2. Let b be l + -2*6\/4. Put -1, b, 3 in increasing order.\nAnswer: b, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*k - 780 = -233*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 159*w - 92*w - 510*w + (-5*w - w + 4*w)*(-3 - 3 + 4) - 9*w - w + 9*w.\nAnswer: -440*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140.9 - 139. Round g to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*i + 8771 = 741*i + 77*i + 895*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -35.9. Let s = -4.1 - y. Let q = s - -12.5. Put 13\/4, -2, q in increasing order.\nAnswer: -2, q, 13\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74*-0.05\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*n = 220*n + 11496. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 584010 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, 18, 76, 188, 372, 646?\n\"Answer: 3*x**3 + x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b. Let v(i) = 7*i + 19. Let z(d) = 22*o(d) - 2*v(d). What is the remainder when z(9) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13930, 13972, 14014, 14056?\nAnswer: 14098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -408a (base 16) to base 12\nAnswer: -968a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90.01871585 - 0.01978585. Let u = h - 90. Round u to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25656759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (0 + -5 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -873*b + 171.\nAnswer: -873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6002440939*r - 38 + 75 - 37 - 6002440942*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0512 * 0.372.\nAnswer: 0.0190464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.23029 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/8 - 105*g**2\/8 - 741*g\/8 + 3249\/8.\nAnswer: -3*(g - 3)*(g + 19)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8*x - 15*x - 3.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 6:54 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*1*30\/12. Let p = -5 + s. Let m = 23.35 + -22.35. Which is the closest to m? (a) 1 (b) 0.6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 496587 and 827645.\nAnswer: 2482935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*n - 15, -p - n = 2*n - 11. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 599117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -428.8 + -24351.\nAnswer: -24779.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017828416 rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*c**6*f**2 + 33*c**4*f**3 - 2314*c**2*f**3 wrt c?\nAnswer: -1440*c**3*f**2 + 792*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.58 + 2.02. Let x = 2.6000058 - o. What is x rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.3 and 83.8873.\nAnswer: 82.5873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 5. Let k be (-4)\/(-4) + 3*(x + 0). Solve 5*w = u - 7, 5*w = -k*u - 6 - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45 + 1d?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3320333 (base 6) in base 14?\nAnswer: -44705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 7*w**2 - 11*w - 20. Let n be (28\/(-21) - -2)*-12. Give x(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h*h*h)\/h**21 assuming h is positive.\nAnswer: h**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58183?\nAnswer: 83, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 1 = 3*m, -2*m = -2*h + 7 - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3465486 is divided by 394?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, d: 1, a: 1, g: 2, e: 1}. Give prob of picking 1 d and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 0 - (18 - 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.5, 0.03, 11, 0, 0.16, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173357 is divided by 314?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*u**4 + 2*k**3*u**3 + 4*k**3 + k*u**2 - 107*u**4 wrt u?\nAnswer: -48*k**3*u + 12*k**3 - 2568*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-476))\/(3\/3*(-16)\/(-728)*-13)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = 6. Let m(h) be the third derivative of h**5\/20 + 7*h**4\/24 + 5*h**3\/6 + h**2. Let c(f) = -f**2 - 3*f - 2. Determine v*c(t) + 2*m(t).\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440*c - 173*c + 99*c + 415*c - 104*c.\nAnswer: 677*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -110*r. Let g(s) = 319844*s**2. Determine a(g(u)).\nAnswer: -35182840*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v - 2. Let t(s) = -5*s**2. Give t(u(h)).\nAnswer: -180*h**2 + 120*h - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141236 divided by 2.\nAnswer: 70618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*l + 3*r, l - 2*r + 10 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(17) + 0))**2 + (sqrt(2448) + -1*sqrt(2448))**2 + ((-5 + sqrt(2448)*5)*4)**2.\nAnswer: -9600*sqrt(17) + 980212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 9028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897 is divided by (-667)\/(-46)*(-6 + 2 - -6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.61 take away 0.03?\nAnswer: 2.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Suppose r*p + 0*p = 0. Let g = 2432 + -2428. Solve p*o = g*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2\/5 - 198*l\/5 + 39 = 0. Calculate l.\nAnswer: 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242\/11 - (-59)\/((-107380)\/40092).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgr when three letters picked without replacement from rarrmrgvmgvkr.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6508, -4501, -2494?\n\"Answer: 2007*v - 8515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4501.42 - 4551. Let m = v - -50. Round m to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 10*a**2 + 13*a + 30. What is v(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-77)\/22)*1\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2709 is divided by 864?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i + 7. Suppose 0 = -3*q - 3*l, 4*q + l = 11 + 4. Suppose v - 3 = -4*y + 8, -2*y - 3*v + 3 = 0. Let s(g) = 4*g - 4. Calculate q*s(b) + y*c(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 - -12.09. Let v = 12.2 - i. Suppose u + 5 = -3*t + 7*t, 0 = 2*t + 4*u + 20. What is the biggest value in t, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211 - -222121212?\nAnswer: 222120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42385 is divided by 20270?\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 10:08 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h. Let l(x) = -13*x - 61. Let c(j) = -33*j - 121. Let d(u) = -4*c(u) + 10*l(u). Calculate d(b(s)).\nAnswer: 14*s - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 416936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 4*x + 6. Suppose 4 = -2*k + 3*k + 2*w, 4*w = -3*k + 10. Let c(r) = -r**3 + r**2 - 1. Let f(v) = k*c(v) - d(v). Let f(j) = 0. What is j?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2829*s = 43367 + 118131 - 3506 - 13713 for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486137 is divided by 486130?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 0 - (367 - 388) - (0 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/9 - 128*k**2\/9 - 788*k\/9 + 920\/9.\nAnswer: -4*(k - 1)*(k + 10)*(k + 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 302*p**3 + 2*p**2 - 2*p + 1. List the prime factors of d(1).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1360 and 366605?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1010690, -2021437, -3032184, -4042931, -5053678, -6064425?\nAnswer: -7075172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533788?\nAnswer: 2, 133447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b9150 (base 16) to base 13.\nAnswer: -2070a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/6 - 21*w**5\/20 - w**3\/6 + 82*w**2. Find the third derivative of b(i) wrt i.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**4\/6 + 4*p**2. Let b(o) = 3*o. Give b(d(z)).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1175 - -1175. Factor n + p**2 + 2\/3*p - 14\/3*p**3.\nAnswer: -p*(2*p - 1)*(7*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2170601km?\nAnswer: 217.0601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 975 - 1956. Do k and -980 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1568 - -2339. What is the units digit of -3 + 76\/24 - q\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8060.\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2816*z + 2794*z + 1075*z - 1374*z in the form b*z + g and give b.\nAnswer: 5311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {f: 2, i: 4, m: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-10)*4\/9. Let y be (-8)\/(-36) + (-328)\/18. Let u = 13 + y. Which is the closest to s? (a) -0.1 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/9 (b) -4 (c) -20 (d) -0.097036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -15*q - 17. Let s(r) = -6*r + 63. Let m be s(11). Let p be t(m). Find the second derivative of h + p*h**5 - 29*h + 11*h**5 - h**5 wrt h.\nAnswer: 760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3609535 + 1580975669\/438. Let o = 2\/219 + d. Which is bigger: o or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*n - 35 = 5*n, 0 = -2*n. Let m be (-19)\/l + 4\/14. Solve -12 = -m*k + k + 5*g, -4 = 4*k - 3*g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 80 + 65. Let u = o - 13. What is the tens digit of u\/(1 - 0\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.9, -1\/45, 156, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3489 and -39.\nAnswer: -136071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 70 = 2*z, 3*m - 63 + 5 = 4*z. Suppose -m = -4*n + 66. Let g be 30\/(-20)*(-4 + 4\/(-6)). Solve b = -5*p + n, -4*b - 4*p - 3 = -g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -28. Suppose 61 - 13 = t*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21\/97 + 1977\/1067. Suppose p + 5*a - 23 = 0, -6*p = -p - 5*a + 5. Is p smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 63*p - 91. Is l(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39, 54, 81, 120, 171?\n\"Answer: 6*z**2 - 3*z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61859 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -21 (b) -7 (c) -2 (d) -5 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 7*x + 64 - 2*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(4*s**2 - 4*s**2 + 2*s**2) - 4*s**2 + 2*s**2 + s**2 + (-17 + 5 - 3)*(-29*s**2 + 2 + 29*s**2 + 36*s**2).\nAnswer: -547*s**2 - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1173353, -2346707, -3520065, -4693427, -5866793, -7040163?\nAnswer: -8213537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-700)\/(-119) - 5\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*d*o**3 + 107*d + 61*o**3 + 45*o**2 wrt d?\nAnswer: 43*o**3 + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p - 15*p - 20 = 11*p. Let h(v) be the third derivative of 5\/3*v**3 - 1\/12*v**p + 0 + 5\/24*v**4 + 11*v**2 + 0*v. Factor h(k).\nAnswer: -5*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-497)\/(-42) + -12)\/((-2)\/78). Let m = 8 + -16. Let i = m + 4. What is the closest to n in 0.2, i, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10 = 5*h. Let j be h - (-12)\/(5 + -11). Is j greater than -3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 0.9. Let y(z) = -z - 1. Let i be y(-2). Let u be ((-6)\/(-4))\/i - 2. Which is smaller: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((-2)\/4 + -3). Let p be (-11)\/4 - m\/(-28). Put p, 1, -4 in decreasing order.\nAnswer: 1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*a = 5*k - 17, -2*k + 22 = -3*a. Suppose 5*y = 2*u - 461 - 639, 3*u + y = 1684. Suppose u + 635 = k*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458, -933, -1410, -1889, -2370, -2853, -3338?\nAnswer: -3825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -12. Let q = 0 - 0.1. Sort q, s, -2 in descending order.\nAnswer: s, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -252?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 30*o**2. Let k(s) = -58677070*s**2. Give k(x(r)).\nAnswer: -52809363000*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6*1*-12. Let p = d - 2. Solve -p*s = -6*s - 2*l + 2, -l + 9 = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2, 59, 227 in decreasing order.\nAnswer: 227, 59, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 18.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 6*w - 7. Let n be m(5). Let y be 2*(3\/n - -2). Is 694\/12 - y\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -12. Let j be (m - -6)*(-5)\/3. Suppose -j*d - d + 12 = 0. Solve d*s - 6 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b0a + -169?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -255*w**4 - 45433 wrt w.\nAnswer: -1020*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10782401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -1030, -142\/25 in decreasing order.\nAnswer: 3, -5, -142\/25, -1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3\/4, -2\/13, -23.1, 3\/4, 126, 2\/13?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28661921 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-476)\/1904 + ((-98)\/4)\/(-2*1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 520044576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*16\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4022430, -8044858, -12067284, -16089708, -20112130, -24134550, -28156968?\n\"Answer: c**2 - 4022431*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.46772 millilitres in litres?\nAnswer: 0.00546772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 46\/14 + (-4)\/14 - -2. Solve 0 = -4*t - s + d, 0 = -4*t - 2*s - 2*s + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -261739985*p**5 - 258082722*p**2.\nAnswer: -15704399100*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**3 + 2*w - 2*w)*(-2 - 3 + 7) - 3008*w**2 + 6325*w**3 + 3008*w**2 to k + o*w**2 + y*w**3 + h*w and give y.\nAnswer: 6329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3356457 and 161489.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17311840 divided by 133168.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-14)*77\/(-3). Let b(f) be the third derivative of 0*f**3 + 0*f - 1\/15*f**5 + 0 - 13\/24*f**4 - g*f**2. What is the second derivative of b(r) wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2652 is divided by 2638?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t**2 + 4*t**2 - 14*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**3 + 7*u**3 + u**3 + 7*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/35626608?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -1 in descending order.\nAnswer: 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:26 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -35 + 2*q - 20 + 2*q + 51. What is j(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -26 - -20 - (0 + 0 + 1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3427 by -1120.\nAnswer: -3427\/1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 1:14 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 9*t**2 + 11*t - 3. Determine l(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**3 - 8*y**2 - 25*y + 9. Let k(g) = g**3 + 3*g**2 + 8*g - 3. Let o(u) = 7*k(u) + 2*l(u). Determine o(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 2*k - 6, 15*t - 12*t = 2*k - 2378 + 2376 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*n**2)*(-1486 + 160*n - 28*n + 1486).\nAnswer: -264*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-755)\/85 - -6)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 1\/1020*s**6 + 9\/68*s**4 + 10*s + 13\/51*s**3 + 1\/34*s**5 + 0 + s**2. Determine w, given that o(w) = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 4*w - 196. Determine n(-4).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900)*-2*5 - 5*sqrt(171)*2) + 4)**2.\nAnswer: -1040*sqrt(19) + 321116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76125 is divided by 183?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 585136962 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -513*g**3*m**2*u + 2*g**3*u + 11*g**2*m*q*u - 2*g**2*u + 42*g*m*q*u - 216*g + 3*m**2*q*u + 143*m**2*q wrt m.\nAnswer: -1026*g**3*u + 6*q*u + 286*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 7*z**2 - 3*z + 2. Let q be (1 - 0) + 4 + -2. Suppose -q*v + 6 = -2*v. What is the remainder when j(v) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 6*j**2 - j + 4. Let p be r(6). Let c be (-8)\/(-20)*3\/p. Suppose o = -3*m + 1, 0*o - 2*m - 4 = 3*o. Which is smaller: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25047 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2. Let f(p) = 25*p**2 - 9*p + 9. Let r(z) = 12*z**2 - 4*z + 4. Let g = -26 - -17. Let s(w) = g*r(w) + 4*f(w). Give s(m(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -32434 (base 6) to base 8\nAnswer: -10606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 9. Let n be (-45)\/(-35) + 2\/(-2). What is the third biggest value in n, -1\/2, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 144, 6, 2, -4, -488, -1 in decreasing order.\nAnswer: 144, 6, 2, -1, -4, -5, -488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 84 = -3*t - 27, -42 = -2*w + 2*t. What is the second derivative of 15*j + 9 - 50*j**2 - 33*j + w*j wrt j?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376, -372, -364, -352, -336, -316, -292?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-14) + 4 - 48\/28\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 12*k - 3. Let h be b(-1). Calculate the common denominator of -2 + (-3669)\/(-378) - h\/(-35) and -11\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 265\/49 - 352283\/65121. Let v = 26566\/9303 - x. Find the common denominator of v and 9\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 110*y + 19. Let v(t) = 111*t + 19. Let u(c) = -4*l(c) + 3*v(c). Suppose 5*b - 78 = -88. What are the prime factors of u(b)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 33. Let m(q) = 3034*q + 14652. Determine m(p) - 444*n(p).\nAnswer: 3034*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 89 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2)\/g**(-5)*(g*g**(-2\/3)*g)**(-34) assuming g is positive.\nAnswer: g**(-127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100 - 32 + 70)*(-z + 1 - 1)*(-2 - 2 + 1).\nAnswer: -186*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 - -169. Let n = 0.3 + -0.6. Let b = 0.1 + n. Sort b, 0.6, t in ascending order.\nAnswer: t, b, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 6:27 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = 6 - 118. Suppose c*w = 2013 + 1475. Is 67 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -17*l**3 + 3*l**2 + 2*l + 6. Let z(a) = 19*a**3 - 4*a**2 - 3*a - 8. Let y(g) = 4*w(g) + 3*z(g). Give y(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 517*l**2 + 448*l - 891. Give z(2).\nAnswer: 2073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 6*n - 4*a + 53, 3*n + 2*a + 7 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 958 - 1448?\nAnswer: -5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 36, 3\/16, 2\/9, 7, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/9 - (-2)\/(-3). Let p(x) = -4*x**3 - x. Let u be p(1). Suppose -3*g - g + 20 = 0. Sort u, v, g.\nAnswer: u, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6648093973 to the power of 1\/2, to the nearest integer?\nAnswer: 81536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 - 55. Suppose -3*s - j = -86, -j + l + 27 = s. Calculate the remainder when s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 7.\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**5\/20 + f**4 - f**3\/6 + 8*f**2 - 39*f + 4. What is c(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (642 - 634) + (-1 - (-1 + -6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3))**10\/((p\/p**25)\/((p*p*p**(-11)*p*p)\/p*p)) assuming p is positive.\nAnswer: p**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 c, and 1 l when three letters picked without replacement from {h: 6, c: 1, l: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/43 (b) 1.6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 1. Let j(y) = 6*y**4 - 16*y**3 + 30*y**2 - 18*y - 2. Let a(i) = -j(i) - 6*m(i). Factor a(d).\nAnswer: -2*(d - 1)**3*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*d**3 + 20 + 52*d**3 + 25*d**3 - 135*d**3 + 36*d**3 as w*d + z + l*d**3 + t*d**2 and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t. Let h(v) = -3*v. Determine o(h(u)).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -3*(2 + -3). Let u(n) = 3*n - 7. List the prime factors of u(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2 + -7 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(504)\/sqrt(8) - (-2 + 1 + (sqrt(28))**2).\nAnswer: -29 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*2\/(-2) + 18. Let f(p) = -18*p**3 + 3*p**2 + 4*p + 5. Let v be f(-2). Calculate the highest common factor of v and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458.9624 micrograms in nanograms?\nAnswer: 458962.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54.51 - 46.46. What is b rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 1, p: 1, x: 1, i: 1, a: 1}. What is prob of sequence wh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.09999?\nAnswer: 0.29997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 0. Suppose f*r = r + 9. Determine g so that 0*g**4 - g**4 + 4*g**2 - 6*g**4 - 12*g**r = 0.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 2\/7, -0.076807?\nAnswer: -0.076807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + ((-100)\/(-15))\/((-6)\/(-9)). Suppose -m*x + 500 = -851. List the prime factors of x.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -2 - 1)*-9. Let i be (-2 - 12\/w)*-16500. What is i rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111012202001122 - 10?\nAnswer: 111012202001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-74)\/(-176) + (-14)\/7. Let y = -16\/11 - a. Are y and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(450))\/sqrt(10))\/(sqrt(27)\/sqrt(48))*5)**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101.56 + -101.56. Which is smaller: z or -70\/109?\nAnswer: -70\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 533058?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 211*t**2 - 8207*t - 950. Determine u(39).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200741 is divided by 200724.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**2 + 37*k**2 + 225*k**3 - 19*k**2.\nAnswer: 225*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2450) + sqrt(2450) + (sqrt(2450) - ((sqrt(2450)*1 - sqrt(2450)) + sqrt(2450)) - sqrt(2450)))*-2)\/(sqrt(250)*2 + sqrt(110)\/(1*sqrt(11))).\nAnswer: -28*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 1. Let t(y) = y**3 + y**2 + y + 1. Let x(j) = 3*j**3 + 2*j**2 + 2*j + 2. Let w(r) = t(r) - x(r). Calculate q(n) + w(n).\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -18603021533111.\nAnswer: 18603021533111.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 179*p**2 - 344*p**2 - 170*p + 171*p**2 + 58*p**3 + 0*p**4 - 2*p**4 - 116.\nAnswer: -2*(p - 29)*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -67, -24, 19, 62, 105, 148?\n\"Answer: 43*x - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201868 and 58801.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10349 and 188116.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7193*b + 926. Let z(w) = 2398*w - 309. Let h(g) = 2*i(g) + 7*z(g). Is h(25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/6 - 193*p**4\/6 + 131*p**3\/2 + 581*p**2\/6 - 392*p\/3 - 130 = 0. Calculate p.\nAnswer: -195, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 325 + -81. Suppose w - 5*w = -y. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**7\/1120 - 9*m**6\/160 - 7*m**5\/40 + 97*m**3\/3 - 2*m - 186. Let i(g) be the third derivative of p(g). Factor i(a).\nAnswer: 3*a*(a - 28)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(288))\/sqrt(9) - (sqrt(32) + 1)*-3) + -1*sqrt(22)\/(sqrt(11) + (-4*sqrt(99))\/sqrt(9)))*-6.\nAnswer: -26*sqrt(2) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200100033 - -32300?\nAnswer: -200001133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -74.524.\nAnswer: -223.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 5*v - 2*v + (3 - 7 + 15)*(-18 + 18 + 8*v).\nAnswer: 89*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**3 - 4*n + 2. Let t be r(1). Suppose t*l + 372 = -3*i, 0 = -7*l + 3*l - 2*i - 372. Let a = 133 + l. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5149484 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*66\/1232*1*(-7)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*t**2 - 90*k - t**3 - 1034602*t**2 + 853*t - 10 wrt t.\nAnswer: 4*k - 6*t - 2069204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-555 + 555 - 15*k)*(-123*k - 2385 + 2385) as w*k**2 + y*k + i and give w.\nAnswer: 1845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/10461 - 61758236\/31383. Let j = o + 1963. What is the common denominator of j and (-3)\/9 + 138\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011111 + -1?\nAnswer: -1100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 27, 0, -4, 78, 17 in increasing order.\nAnswer: -4, 0, 1, 17, 27, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 4*v - 54, -2*m - 4*v = -132. Suppose 99*g - 13*g - 1915 = 1439. Calculate the remainder when m is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvrrvrrvvvvrvvz. What is prob of picking 2 r and 2 v?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q - f - 6 = 37*q, 0 = 4*q + 2*f - 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9193*k - 9080*k + 27474*k - 9196*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(180)) - (-5*(sqrt(405) + 0 - sqrt(405))*3)**2.\nAnswer: -10 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 72*d**2 + 292*d - 8. What is the hundreds digit of f(-61)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/6 + -7 - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j = 4*m - 320, -3*j = 0. Let y be 30\/4*224\/m. What is the highest common factor of 28 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luf. Give prob of sequence ufl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38613915 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -1, 2, 360 in descending order.\nAnswer: 360, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 165059345*t**2\/2 - 851393365685866*t + 212848336263362.\nAnswer: -(t - 20632418)**2*(4*t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 + 108. Suppose 49*d - b*d = 0. Solve d = -4*k + 21 - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31132681, 62265393, 93398105?\nAnswer: 124530817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -272237 - -5?\nAnswer: -272232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-27) - (-106)\/9. Let z = -10 + h. Let s be z*(5\/2 + -4). Sort -5, 1, -0.6, s in descending order.\nAnswer: 1, -0.6, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1957, -2281, -2817, -3571, -4549, -5757?\nAnswer: -7201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -389250645 and -0.048.\nAnswer: -389250645.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -134732.\nAnswer: 1\/134732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 969*(-16)\/152*2\/6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23606 is divided by 11789?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**4 + 12*p**3 - 15*p**2 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 19*l + 1. Let h be (1 - -1) + 0 + -1. Let x be z(h). Let w(d) = 2*d**2 - d + 2. Let i be w(2). What is the highest common divisor of x and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241558871639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 34. What is the remainder when l(-6) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*s**6 - 1031*s**3 - 13*s**2 + s - 2039.\nAnswer: -1680*s**3 - 6186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**2 + 116160*f + 1277397 = 0.\nAnswer: -38709, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 94*v**2 + 8*v + 8. Give q(-1).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from yyyyyymy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -247 (base 11) to base 8\nAnswer: -445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 1:30 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 362*w - 401*w - 78. Put 3, 10, -7, w in decreasing order.\nAnswer: 10, 3, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 81\/10*y**5 + 0*y + 27\/8*y**6 + 13\/2*y**3 - 179 - 9\/8*y**2 - 27\/2*y**4. Solve s(k) = 0.\nAnswer: -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -7. Let g = -426 - -422. What is the nearest to 0.3 in g, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -5. Suppose 3*z = 10 - t. Suppose 0 = -z*h - 0*h - 9. What is h rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10631207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0 = 6. Suppose 0 = 5*m + x*z - 52, m + 9 = -5*z + 24. Let j = -2 + 7. What is the greatest common divisor of m and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26720)\/(-2240) - ((-6)\/7 + (-700)\/(-735)))*-6.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2119, 11886, 36943, 84928, 163479?\n\"Answer: 1273*p**3 + 7*p**2 + 835*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/6*(42\/(-10))\/(675\/450)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -14 - 16 - (-42 - (-11 - -5 - -11))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.9 in -1\/4, 105, -803?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 14 = -b. What is the remainder when b is divided by (-3)\/(-1) + 68\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1426 is divided by 445?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 62 + 53)*(0 + 2 - 4)*(-5 + 1 + 3)*(3 - 2 - 2)*(7*y - 1 - 6*y - 7*y) to the form s + n*y and give n.\nAnswer: 1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2842 and 45\/33292.\nAnswer: 233044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 205 - 344. Let o = 318 + t. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55247 and 528432.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 10027aa?\nAnswer: -10027b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*o - 85*o = -98*o - 3600 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 81053 = -2*h, s + 5*h - 48647 = -2*s. Let l = -9440 + s. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/120 and -89\/2715?\nAnswer: 21720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -33. Suppose 4*v - 845 = 5*x - 620, -4*x = -v + 81. What is the remainder when v is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -4, 10.4, 2\/13?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*x = -2. Suppose 4*d = -5*t - 10, -t - 6 = 2*d + x. Suppose t*m + 3*u - 8 = 0, -8 - 2 = -2*m - 4*u. Is m greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74.2*-0.88.\nAnswer: -65.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*(n\/((((n\/(n*n\/n**(-2\/7))*n*n)\/n*n)\/n)\/n*n))\/n)\/(n*n**(-3\/10)*n*n*n**(2\/9)) assuming n is positive.\nAnswer: n**(-1481\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*(-72)\/32400 - ((-633)\/(-100) - 0).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4*o = -14, 3*g + 127*o = 130*o - 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/3638 and -55\/7089.\nAnswer: 1517046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 49*k - 202. Calculate c(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*j + 243 = 56*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8295\/68 or 122?\nAnswer: 8295\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 6 - ((-35)\/25*-5 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 6 = -3*o, -2*b = 2*o - 0 + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14028389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3099294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/147906 and -28\/9.\nAnswer: 147906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33\/12 + 1\/4 + 0. Suppose 0 = -d*h - 4*i + 20, 5*h - i + 3 = -2. Solve f = -h*f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*c - 24, 3*l - 3 = c - 3*c. Let j = 25067 - 200485\/8. What is the common denominator of l and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.8, 3, 2\/15, -2, -0.2 in descending order.\nAnswer: 4.8, 3, 2\/15, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -370.531269 times 5\nAnswer: -1852.656345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*r - 10, -3*r = 2*t - 2*r + 2. Let h be -21*(-6)\/216 + 2\/(-6). Which is the closest to t? (a) h (b) -0.12 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 9) in base 10?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 66. Let q be y(0). Let c(f) = -7*f**3 + 2*f**2 - 1. Let n be c(1). Let z be (-22)\/n*(4 + 41). What is the highest common divisor of q and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 518.2979436 - 518.3. Round f to five dps.\nAnswer: -0.00206","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372948203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 32*h = 7533. Suppose -4*u = -k + h, -5*u + 1370 = -3*k + 8*k. Does 55 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0 - 3 + 3*t**4 + t**4 + 0 wrt t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15103, 30312, 45521?\n\"Answer: 15209*g - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20131?\nAnswer: 41, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 200*n = 204*n + 8892237, c = 3*n + 2964089. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2280 - 2280 + 3*w**2 + 0*w**2 - 2*w**2. Let u(o) be the first derivative of -17*o**2\/2 - 1. Determine i(u(b)).\nAnswer: 289*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + (105 + -86 - -25).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*m - 876 + 456 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 8*t**2 - 2. Let u(c) = c**3 - 4*c**2 + 1. Let q be u(3). Let m be 47\/(-6) - q\/(-48). What is x(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbow when four letters picked without replacement from woobbbsbobwbbbswb?\nAnswer: 27\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1059*c**4*l + 641*c**4 + 2*c**3*l - 2215626*c**2 - l - 2 wrt c.\nAnswer: 25416*c*l + 15384*c + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p**2 - p**3 - 35*p**2 + 10*p**2 - p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1602005, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let z = -24910\/13 - -1916. Let d = -5 + 4.6. What is the fourth smallest value in -1, q, z, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10509716 divided by 51772.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 34*r**5\/9 + 43490*r**4\/9 + 14187638*r**3\/9 + 178170454*r**2\/9 - 56654344*r\/3 - 2493176 = 0.\nAnswer: -633, -14, -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.79 - 0.7. Let n = -0.19 + l. What is the third biggest value in -0.3, n, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001798395 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, z: 1, r: 1, n: 2, w: 3, d: 3}. What is prob of sequence xdz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5368?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:11 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -6, -5, -133\/106 in decreasing order.\nAnswer: 1.3, -133\/106, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 689.4 + -594. Round r to the nearest integer.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2406 (base 8) to base 15.\nAnswer: -5ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/25 + 5754\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 - -62. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*y + 185, -2*s + 2*y - y = -74. Suppose -5*w - s = -272. Is w a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 0*q - 4\/3*q**3 + 0*q**2 + 10 - 9\/4*q**4. What is the third derivative of z(p) wrt p?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = 5*r, -5*r + 15 = -4*t + 12. Differentiate 165*h**4 + 255 + 273 - h**3 - 574 + h**r with respect to h.\nAnswer: 660*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f. Let j be t(-5). Let q be ((-12)\/j)\/1 + 2. Put 2, q, -0.1 in decreasing order.\nAnswer: 2, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.1865045 to two decimal places.\nAnswer: 56.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -7890 less than or equal to -496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**3 + 1480*c**2 - 75540*c + 702000 = 0.\nAnswer: 12, 50, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 26. Let z be p(-24). Which is the closest to -2? (a) z (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 94184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -35*m - 2. Let c be k(-6). Let n(i) = -i**3 + 2*i. Let r be n(2). Is 17 a factor of c\/6 - r\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-20))\/((-76)\/5320). Suppose 5*m - m - 4*i = 84, -m = i - 19. Suppose -4*o + 8 + m = 0. Calculate the greatest common divisor of v and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84*x + 84*x - 5*x**4 + (-4*x**4 - 3*x**4 + 5*x**4)*(-1 - 2 + 6).\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 5:15 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 7*i - 55. Let u(l) = 3*l**2 + 2. Let t(q) be the third derivative of 0*q**4 + 0*q - 11\/6*q**3 - 2 - 4\/15*q**5 + 16*q**2. Give i*u(x) + 2*t(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(5\/(-10) - -4).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 28*m**2 + 10130155*m - 10130155*m - 80*m**2 + 21*m**2.\nAnswer: -31*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 - -66 - (-2 + (0 - -4)) - (-35 + 61)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5653873 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -688\/5 + 138. Let f be (2 - 29\/7) + 2. Put c, f, 1 in ascending order.\nAnswer: f, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*g + 609, -1 = g - 0. Suppose 7*c - 27 = -h. Let v = c - -27. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 73*q**4 - 13*q**4 + 2 + (-1 + 2 + 0)*(3 - 2*q**4 - 3) in the form z*q + x*q**2 + o*q**4 + y + g*q**3 and give o.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -13 - 22 + 31 + 0*s - 3*s - 3*s. Let a be (-2)\/((-27)\/(-6) + -4). Let i(b) = 5*b + 4. Determine a*f(c) - 5*i(c).\nAnswer: -c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -244162460.04149?\nAnswer: 244162465.04149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21835 and 29506.09?\nAnswer: 51341.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 19*w**2 + 4. Let z(y) = 627*y**2 + 133. What is -133*o(p) + 4*z(p)?\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/10122857?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 1\/4*f**3 + 4 - 1\/5*f**5 + 0*f + 0*f**4 + 1\/8*f**2. Factor d(s).\nAnswer: -s*(s - 1)*(2*s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 + -0.7. Which is the closest to 0.2? (a) -0.4 (b) -2\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 425. Let b(i) = -58*i - 63*i + 239*i - 61*i - 59*i. Give b(k(s)).\nAnswer: 4*s + 850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25704526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 30. What is the second smallest value in r, 2, -0.5, -2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**6\/40 - g**5\/30 - g**4\/12 + g**2. Let n(t) = -45*t**3 - 3*t - 3*t**2 - 2*t + 2*t + 48*t**3. Give 3*h(r) - 2*n(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-85036)\/17)\/(-1) + 318\/(-2703). Calculate the greatest common factor of u and 328.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/52)\/(10\/24))\/(6\/(-15)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 7*a = -1618. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -748 + 1084. What is the remainder when y is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1503)\/(-4347) - 0 - 2\/6. Is -1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 1\/30*n**6 + 1\/24*n**4 + 0*n**2 + 22*n - 1\/24*n**3 + 0 + 7\/80*n**5. Let w(g) = 0. Calculate g.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.48043 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13372060 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24577\/(-56) + (-2)\/16. What is the hundreds digit of z\/(-1)*(-8 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -12446, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/59733 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 363, 1233, 2715, 4803, 7491?\n\"Answer: -q**3 + 312*q**2 - 59*q + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.0314 + 0.0314. What is the smallest value in -4\/7, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -175641451\/130 + 1351081. Let m = c + 75\/26. Which is smaller: -4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1779 - -1778. What is the closest to y in -4\/5, -6.19, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 559.81 + -595.2. Let s = -43 + 82. Let o = g + s. Round o to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= 13736055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 893415770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121389686 to the nearest integer?\nAnswer: 11018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -1\/8 (c) -2\/5 (d) -7 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 990 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 5 + (0 + 3 - 4)*(0 - 3 + 2))*(-6 + 11 - 3)*(4 - 4 - 6*q) in the form r + l*q and give l.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-11 - (-10 - (0 + -3) - -6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/24, 0.4, -4\/25, -1.6 in descending order.\nAnswer: 0.4, -4\/25, -17\/24, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) 0.3 (c) 0.07 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9220 - -18745. What are the prime factors of h?\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379969607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8*-11581\nAnswer: 92648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 9*k**2 + k - 5. Let r = 33 - 29. Suppose -5*w + w + 34 = j, -5*j - 46 = -r*w. Let p be g(w). Solve -p*u + 5*u = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**3 - 4*z. Let d(v) = -4*v**3 - 3*v**2 - 8*v - 3. Let s(w) = -8*w**3 - 5*w**2 - 15*w - 5. Let q(b) = 5*d(b) - 3*s(b). Calculate 4*q(y) + 5*t(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 154727, 154773, 154851, 154961?\n\"Answer: 16*j**2 - 2*j + 154713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 234*h**3 - h**2 - 923*h wrt h?\nAnswer: 1404*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549307295 to the power of 1\/2, to the nearest integer?\nAnswer: 39361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 597 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6784.7699 rounded to the nearest 100?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57348 and 216.\nAnswer: 114696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (7 - 0) + (-228)\/(-3). Calculate the greatest common factor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -12451.649?\nAnswer: 6225.8245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from grgrwwrpgh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 124, 203, 282, 361?\n\"Answer: 79*c + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312 (base 4) in base 3?\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3549, -3576, -3533, -3420?\nAnswer: -3237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in 2, 24, 0.058?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555217330?\nAnswer: 2, 5, 97, 127, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 7:01 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 7}. What is prob of sequence zz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1452.918 - 1448. What is x rounded to one decimal place?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/758? (a) 3 (b) -5 (c) 3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*u = -28, 2*s + 9 = 4*u - 1. Let a be (4\/s)\/((-6)\/5067). Is 9\/(-6)*a\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**4 - 8743*a**3 - 15239*a + 1.\nAnswer: -12*a**2 - 52458*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (29 - 2) + (4 - 2). Suppose -5*q - 4 + d = 0. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11971921 is divided by 2326?\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.3. Let o be (48\/18)\/(6\/333). Let c = o + -593\/4. What is the biggest value in s, 2\/3, -3, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l. Let i = -16 - -16. Suppose 2*j = -2 - i. Let q(c) = -c. Calculate j*s(m) + 3*q(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 27. Let b = -10 - m. Suppose 0 = b*a - 235 - 190. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3091248 and 432.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 817*t - 1038 = -821*t, 1062 = 2*l - 2*t. Calculate the greatest common divisor of 85 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1255157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h = 33*h - 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 31*k + 27 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 661 - 621 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 319158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:52 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37056, 74115, 111174, 148233, 185292, 222351?\nAnswer: 259410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = 11*o - 291. Let s(z) be the third derivative of -2\/15*z**5 + 0 + 0*z + 0*z**4 + 2*z**3 + 8*z**o. What is the derivative of s(q) wrt q?\nAnswer: -16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 1\/3*u**4 + 184\/3*u + 112\/3 + 31\/3*u**2 - 41\/3*u**3 + 1\/3*u**5 = 0.\nAnswer: -7, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + 9. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23446 + -14337. List the prime factors of m.\nAnswer: 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/9)\/(k\/(k*k*k**(-15\/4))))**(2\/29))**(-2\/29) assuming k is positive.\nAnswer: k**(103\/7569)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + c**2 + c - 1. Let z(j) = -12*j**3 - j**2 - 11*j + 1. Let w(v) = 6*o(v) + z(v). Let d(r) = 12*r**3 - 9*r**2 + 9*r + 9. What is 5*d(f) + 9*w(f)?\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1552593 is divided by 517397?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f + 4*f)*(-3 + 1 + 3) - 2*f + 3*f - 2*f + (f + f + 0*f)*(8 + 6 - 8).\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*y*y*y*y**(-1)\/y*((y\/y**(-1))\/y*y)**(-4\/31))\/((y*y**(1\/4)*y)\/y*y*y\/(y*y*y**(-7)*y*y)*y)**(-6) assuming y is positive.\nAnswer: y**(2929\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -30*g + 79. Calculate b(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4009869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2576*s + 2651*s + 2751*s - 1753*s in the form u*s + n and give u.\nAnswer: 6225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 1:49 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(567))\/sqrt(9))**2 - sqrt(252)*3)*5.\nAnswer: -90*sqrt(7) + 1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 925825 - 16656415\/18. Let m = -4238\/9 + d. What is the common denominator of -52\/63 and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-7))\/(45\/(12600\/(-14480))))\/((-6)\/4)?\nAnswer: 1\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1, 3, -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145433284248.999998932 + 145433283836. Let y = -413 - b. What is y rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 16 = j. Suppose -4*d + 3*t = 14, 0*d = -2*d + 3*t - j. Let q be (d\/3)\/(3\/((-675)\/10)). Solve -q = -f - 4*f + 5*b, 5*f + 2*b = -20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 9 - (14 + -2)\/3. Solve w - g = -9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 1, w: 2, m: 3, b: 1, x: 4}. Give prob of sequence zxm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-18) + 941731\/(-63)*1. Round x to the nearest one hundred.\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 - 3*j - 1. Let y = -7 - -14. Let v = 8 - y. Let n be (-3 - -2)*v*-5. Let d(q) = -2*q**2 - 2*q - 1. Determine n*d(c) - 4*p(c).\nAnswer: 2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 727 - 731. Sort q, 25, -4\/5 in descending order.\nAnswer: 25, -4\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 1, 3897 in descending order.\nAnswer: 3897, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12092*y**2 - 18821*y wrt y?\nAnswer: -24184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-24)*2\/(-1). Let j be 2 + -3 + s + 2. Suppose j = -2*z - z + 63. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*a - 19 = 0, -2*a + 1114 = 1108 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -i - 535 + 534, x = 5*i - 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 7*n**2 + 9. Let u be -25*((-15)\/(-25)*5 + -5). Suppose 62*j = u*j + 84. Calculate p(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76033.52 + 25385.6\nAnswer: 101419.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -176*m - 1530. Let r be d(-8). Is -122 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let h(f) = -3*f + 2*f + 4*f**2 - 5*f + f**3 - 2. Let m be h(-5). Solve t*p - m*p - 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-4)\/40)\/((-2)\/4).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - 20*d**2 + 11*d - 20. Let y be k(10). What is the greatest common factor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*y + 147*y + 175*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffe when three letters picked without replacement from {e: 2, s: 4, r: 1, f: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**5 + 0*g**5 - 2*g**5 + (2*g**2 - g**4 - 2*g**2)*(-16*g + 32 - 32) + (g**4 - g**4 - g**5)*(0 - 2 + 0)*(2 + 1 - 7).\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81668361 to the power of 1\/3, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6469, -7308, -8147?\nAnswer: -8986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 327314 (base 8) to base 12\nAnswer: 539a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/9, 0.124 in decreasing order.\nAnswer: 0.124, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -5, -23, 1, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 470 = 22*r + 420 - 937 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.66268 - 0.16268. Let c = 23 + -68\/3. Let b = -0.1 - 0. What is the closest to c in q, 6\/5, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 509?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -51640 divided by 5235?\nAnswer: -10328\/1047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1201120102221?\nAnswer: 1201120110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*u - 14. Suppose 4*p - u - 1 = 0. Put p, 0, 4 in increasing order.\nAnswer: 0, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -776*v**3 - 3 - v**2 - 8*v**2 - 787*v**3 + v**4 + 1560*v**3 as m + l*v**3 + r*v**4 + w*v + x*v**2 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.354765cm in kilometers?\nAnswer: 0.00004354765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45520 and 8?\nAnswer: 45520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (112\/(-24))\/((-2)\/(-3)). Let h = 13 + -3. Let i = h - t. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - 3*a**3 + 3*a**3)*(-46*a + a - 249*a).\nAnswer: -294*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d = -6637 + 4997 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14617 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 3, l: 7, o: 1, t: 4, r: 2}. What is prob of picking 2 d, 1 m, and 1 t?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1051344 (base 6) to base 4.\nAnswer: -31003300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*z + 5*r - 4*r, 0 = -4*z + 5*r + 23. Solve z*d - 5*d - 12 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 13309.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - 2.06. Let h = 41\/132 + -2\/33. Let w = 4 + -3. What is the closest to -1\/3 in h, r, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16671, 12, 3, -5, 25 in descending order.\nAnswer: 16671, 25, 12, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33977243.\nAnswer: 179, 189817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 6*w**2 + w + 4. Let v be r(6). Let y = v + 38. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18740? (a) 4 (b) -3 (c) 2 (d) 3 (e) -1 (f) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -37188.53914 and 71.\nAnswer: -37117.53914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1406874\/(-220) - (-6)\/33. Let t = -6388 - x. What is the common denominator of (-469)\/(-84) - 6\/4 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(2 + 15\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**8\/33600 - i**7\/6300 + i**6\/3600 + 3*i**4\/4 + 2*i. Let k(h) be the third derivative of g(h). Factor k(a).\nAnswer: a*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23190 - -23193. Suppose -45 = -5*g - 10. Let d = 15 - g. Solve i - l - 4*l = 10, -i + d = -u*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 9*a - 36 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 690 + -72341\/105. What is the common denominator of p and 17\/165?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -9*m + 3*w + 2 - 17, 3*m - 2*m + 4*w + 17 = 2*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34, -38, -38, -34, -26?\n\"Answer: 2*x**2 - 10*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 2*a + a)*(3*a - 2*a + 2*a) + 3*a**2 + 3*a - a**2 + 15*a as o*a + u + c*a**2 and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -128771, -128758, -128745, -128732, -128719?\n\"Answer: 13*h - 128784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -4 (b) -3\/17 (c) -25\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*(45050\/(-68))\/53\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**25\/((q\/((q\/(q**(-22)\/q*q*q))\/q))\/q) assuming q is positive.\nAnswer: q**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 7:35 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1236*y - 6 = -r - 1235*y, 2*r - 11 = y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4\/9 (b) -15 (c) -0.2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 124*n - 14. Is 39 a factor of l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k + 2 - 6*k - 9*k as n + y*k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -2 + -77 + 53 - -8) + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a - a + 3*a)*(130 - 15*a**2 - 64 + 17*a**2) as r*a + o + i*a**2 + v*a**3 and give r.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, e: 3}. What is prob of picking 3 e and 1 r?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.102 (b) 307 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 5*n = 11*p - 29816, -4*p = 2*n - 59704. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5\/3 + 12170*p**4\/3 - 40589*p**3 + 401900*p**2\/3 - 487184*p\/3 + 64960 = 0.\nAnswer: -12180, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 4*o + 4. Let z be j(-3). Let v = z - -3. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2\/5, 142, -1\/5, 2.\nAnswer: -2\/5, -1\/5, 2\/9, 2, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-6) - 11508\/(-72). Suppose 80 + h = 3*q. Let a(s) = -11*s - 1. Let k be a(-1). What is the greatest common divisor of q and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -157, -186, -211, -232, -249, -262?\n\"Answer: 2*r**2 - 35*r - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 454 divided by 3.\nAnswer: 454\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 4, q: 5, s: 1, o: 1}. What is prob of sequence xo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062 times -5?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 141. Let s(g) = -2*g**2. What is q(s(m))?\nAnswer: -4*m**2 + 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -11\/2*k**3 + 0 + 3*k - k**2. Differentiate f(s) wrt s.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-30)\/(-6) - (-6 + -1803 + -4).\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from zzlsscssczcuuzsz?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.9832 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.459 + -100.504. Let d = -81 - q. Let b = 0.044996 - d. What is b rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i**2 + i. List the prime factors of w(-3).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m - 2 + 25*m**3 - 178*m**2 + 174*m**2 + 34*m**3. What are the prime factors of b(3)?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*f = -5*f - 2150 + 2144, -4*j - 30 = f for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-7)\/(-28)*4\/(-35).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1817361786 to the nearest integer?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 y, and 1 w when three letters picked without replacement from {w: 4, z: 3, m: 2, l: 3, e: 1, y: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -317108823 and -0.69.\nAnswer: -317108823.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 9157 + 8 = -4*h, 9148 = 5*s + 3*h. Solve 1832*v - s*v = 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -4310\/323?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12c (base 13) to base 15\nAnswer: dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51.77 and -46.\nAnswer: 2381.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16440 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 459353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/3 - 1154*q\/3 - 5720\/3 = 0. What is q?\nAnswer: -572, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5491 (base 14) to base 2\nAnswer: 11100100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -3 + 2 + (-1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 157824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 4*q - 12*q. Suppose z = 3*i + 4*z - 24, 4*i = 2*z + 2. Suppose -5*s - 5 = i*g + 2*g, 3*g + 3 = -2*s. Solve s = -5*f + 1 + q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -242114? (a) 0.3 (b) 0.2 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1226\/13 or 94?\nAnswer: 1226\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34c70 (base 16) to base 10.\nAnswer: 216176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 2*w + 2*w)*(w**2 + 0*w**2 + 3*w**2) + 2*w**3 - 2*w**3 - 3*w**4 + (-w - w + 0*w)*(2*w**3 + 2*w**3 - 6*w**3).\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 366264?\nAnswer: 1831320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.6 + 47. What is the nearest to 0.01 in v, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 3:00 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*(-7 + 79). Let y = -1838\/17 - d. What is the third smallest value in 27, 3, y?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6889.67l?\nAnswer: 6889670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 23*c = 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**6 + 549319*u**4 + u**3 - 2*u**2 + 605384?\nAnswer: -360*u**3 + 13183656*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 0*z**2 + 0*z**2 - z**3 - 1 - 4*z**2 - 4. Let w(k) = -2*k + 4. Let l be w(3). Let u be (3\/l)\/((-3)\/(-8)). Calculate j(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113087 is divided by 56541.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 1\/20*h**4 + 0*h**3 + 1\/1680*h**8 - 94*h**2 + 0*h - 1\/1050*h**7 + 1\/300*h**5 - 7\/600*h**6 + 0. Solve b(u) = 0.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719959 is divided by 355?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 21*y - 29. Let l be u(2). Suppose -l*b + 1988 = b. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2 + 48*d + 46 = 0.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -40 - 13 - 20\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/6, -3, -0.4, -6525, -3\/8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 21 + 38 - 15*t**3 + 13*t**3.\nAnswer: -2*t**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-10) + 282\/1335. Let p = -50.47 - -50.57. Sort 0, a, p in increasing order.\nAnswer: 0, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 0. Let a be (u\/6)\/(1\/(-3)). Let q be (100\/(-3))\/(a\/15000). Round q to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - 4*w**2 - 2*w**2 - 98*w**2 - 27*w**2 + 15*w**2 + 0*w**2 + 0*w**2 + w**2 + (-w**2 + 0 + 0)*(2 - 5 + 1).\nAnswer: -115*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 + -73. What is the greatest common factor of 36 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7126, -7127, -7128, -7129, -7130, -7131?\nAnswer: -7132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48)\/288 - 761059\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 6, 0 in decreasing order.\nAnswer: 6, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 13*w + 152 = 0. Let j(d) = d**2 + 6*d + 11. Let h be j(8). Let x = h + w. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 18. Let u(w) = -1. Let n(k) = 3*u(k) - x(k). Let l be n(13). Solve 2*r + l = -3*g - 0*g, -g + 1 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(2*z**3 + 2*z**3 - 3*z**3) - 11459036*z - 3038*z**3 + 11459036*z.\nAnswer: -3039*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.7. Sort -8, 0.5, h in decreasing order.\nAnswer: 0.5, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.641646 and -15534.13.\nAnswer: -15534.771646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:33 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 6)*(3 + 1 - 5)*(-13*c + 12 - 12)*(2 + 2 - 2) to x + j*c and give j.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 15.9, -4\/13, 1725?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10115960761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2195, 44, 5, -4, 3, -10 in descending order.\nAnswer: 2195, 44, 5, 3, 1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -1\/5 (c) 149\/9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = -5*j - 0. What is the lowest common multiple of j and 16?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22045, 88144, 198309, 352540, 550837?\nAnswer: 793200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btlolsblobll. Give prob of sequence lbst.\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -4*u**4\/3 - 2*u**3\/3 - 18*u**2. Is 14 a factor of v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35.912 - 2.\nAnswer: -37.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4044456, 4044455, 4044454, 4044453?\n\"Answer: -m + 4044457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 t when four letters picked without replacement from tktttttkktttttkkttk?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -2 - (-4 - -3). Suppose -58 = -j + h*t, 0*t - 378 = -5*j - 2*t. Suppose 25 = -l - 2*x + j, 5*l + 3*x = 238. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211205.\nAnswer: 5, 53, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74916, 73811, 71970, 69393, 66080?\nAnswer: 62031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - t + 41 + 67, 0 = 3*o + 4*t + 359. Let u = o - -162. Is 36 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-12)*(0 + 1). Let q = 176526 + -176524. Solve -1\/6*b**3 + 0*b + 1\/6*b**4 + 1\/6*b**5 + 0 - s*b**q = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37764 + -bb?\nAnswer: 37665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1206618, -1206653, -1206690, -1206729, -1206770, -1206813, -1206858?\n\"Answer: -d**2 - 32*d - 1206585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 763*u**3 + 23107*u**2 wrt u.\nAnswer: 4578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 45942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12068 at least 12041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j - 223*j - 165*j - 16*j.\nAnswer: -384*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45938313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*p - 2 = 4*p, 0 = -2*p. Suppose -4*y = l + 28 - 125, -60 = -3*y - 5*l. Suppose y = 5*t, -a + 3*t - 18 = -t. Sort b, a, -3 in decreasing order.\nAnswer: a, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 75 - 225. Solve 13 + m*c**3 + 9*c + 51*c + 65*c**2 - 31*c**4 + 7 + 36*c**4 = 0 for c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-3 - -1)*-1. Let u be 14\/k + (-3)\/(-6). Solve u*h = -2 + 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 3*z**5\/20 + z**4\/12 + z**3\/6 + 4*z**2. Let w be g(3). Calculate the highest common factor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110101010111010000 (base 2) to base 14.\nAnswer: -24db0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10*c - 30. Let x be u(-3). Let p be (-3)\/2*-4*1. Let t = p + x. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 773?\nAnswer: 76f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g - 5*g)*(-3*g - 7*g - 1 + 2*g).\nAnswer: 40*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2994 - -29. Let r = b - 380. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -10. What is the third biggest value in -0.2, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 5*g = 5*v, 30*v = 27*v - 7*g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 122\/9*q**2 + 8 - 28\/9*q**3 + 2\/9*q**4 - 56\/3*q = 0?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/54*5\/(-185))\/(10\/(-15)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808031876 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -396, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 141\/(-3 + (-7)\/(-2)). Is 29 a factor of 1\/(-2)*15*(-22936)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -13450.78818.\nAnswer: -13450.38818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3560 = -4*g - 0*j, -5*g - 3*j + 4426 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 3*p**2 - 2*p + 5. Let a(s) = 3*s**2 + 8*s - 14. Let c be a(-5). Suppose 3*y - 6*y + 3*u - c = 0, -19 = y - 5*u. Determine k(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 7*z - 5. Let j be p(4). Let c(s) = -3 - 55*s - 4*s**2 + 5*s**2 + 49*s. Let a be c(j). Sort -5, 3, a.\nAnswer: -5, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282989 is divided by 769?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**6\/210 + 3*j**5\/20 - 10*j**4\/7 + 50*j**3\/21 + 123*j. Factor t(f).\nAnswer: -f*(f - 10)**2*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1197 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 450952037*w**5 + 851*w - 653301 wrt w?\nAnswer: 9019040740*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2754*d**3 + 10 - 3*d - 5*d + 8*d**2 - 2755*d**3 + 0*d. Calculate k(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-2*o**4 - 2*o**4 + 5*o**4) - 2*o**4 + 12*o**3 - 12*o**3.\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkfrkmkkkrrm. What is prob of sequence kfr?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {z: 1, x: 3, i: 3, y: 2, n: 5, j: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 26125031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 11:03 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6832*k = -167*k + 280857 - 927362 for k.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17 + 7 - 2)\/(-2). Let z(q) = 8*q - 9*q - v*q - 4*q. Let x(r) = 5*r**2. Calculate x(z(k)).\nAnswer: 605*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.3 (c) 215 (d) 3 (e) -1\/7 (f) 6\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-3 + 2)) + -6 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -221.\nAnswer: 3\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 561025.08 minutes?\nAnswer: 55.65725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*o - 2, -3*o = -4*o + 1. Suppose -6 = -5*i + 3*c, -5*i + 0*c = c + 2. Solve v = -q - i - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - o + 3*o + o)*(29*o - 18*o - 18*o).\nAnswer: -21*o**3 - 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4819097, -4819101, -4819105, -4819109, -4819113?\n\"Answer: -4*h - 4819093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 540 = -324. Suppose 5*r + 4*j = -14 + 181, -4*r + m = -2*j. What is the remainder when 419 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/5)\/x*x*x**10*x**(7\/3)\/(x\/((x**(-2)\/x)\/x*x)) assuming x is positive.\nAnswer: x**(131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 2. Let h(o) = 4*o - 3. Let i be h(2). Let d = 0 + 0. Let u(p) = 6 - 2*p - 2 + d*p. What is i*g(s) + 3*u(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t**2 + 4*t - 10*t**2 - 3*t + 10*t**2.\nAnswer: 30*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1453946 by -111842.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 - 173 = -4*t. Let p(h) = -h**3 + 5*h**2 - 11*h - 12. Let x be p(5). Let n = x + t. Solve 0 = 2*v + v - n*q + 18, 3 = 3*q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2289821 is divided by 122?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 200 + -83. What is the greatest common factor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w**2 - 3*w**2 - w**2 - 7*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d + 693 - 285 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-3\/5)*u*u)*u*u*u*u\/u**6*u)**(-38) assuming u is positive.\nAnswer: u**(456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*u - 417*u - 437*u + 1218*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*f + 14 = -0*d, 2*d - 5*f - 49 = 0. Suppose 9*k + 9 = d*k. Calculate the lowest common multiple of 7 and (8\/12 - 0)*k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 26.100963 months to years.\nAnswer: 2.17508025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72131884.\nAnswer: 2, 11, 17, 73, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3289375 and 3289375?\nAnswer: 3289375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, 3, -5, 58 in decreasing order.\nAnswer: 58, 3, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251027, 251027, 251021, 251003, 250967?\nAnswer: 250907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*v + 12, 2*v = 5*o - o + 8. Let l be (o\/(-1))\/((-10)\/(-30)). Suppose -2*m + 5 = -5. Solve 0 = -l*a + 2*n + 10, 2 = -m*a + 2*n + 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 36*z - 157. Calculate r(18).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 65, 110, 183, 290, 437?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 0.09, -2\/1271?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -67, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1563 in -2, 1\/6, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2115\/4)\/(((-6)\/28)\/((-23904)\/2324))?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/18*(-3)\/14?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935382583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 51\/2 of a millennium?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 726143640434 + -726143713650.7000001. Let j = -73217.1 - v. Let l = -0.4 - j. Round l to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*b = 7, -5*m - b = -11 + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 0 + 7\/6*p**3 - 6*p + 2*p**2 - 1\/6*p**4. Factor w(c).\nAnswer: -(c - 4)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = 9*r. Let p = -23 - -70\/3. Which is bigger: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54 - 64129?\nAnswer: -6417d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99386 - -99388. Suppose 6*a = 3*a + 144. Suppose -b - a = -4*b. Sort 3, b, j.\nAnswer: j, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 + 20 + -9 + 6. Let g(s) be the second derivative of 1\/9*s**4 + 4*s + 0*s**2 - 1\/30*s**5 + 0*s**3 - 5\/63*s**7 + 0 - 8\/45*s**m. Factor g(a).\nAnswer: -2*a**2*(a + 1)**2*(5*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjeuj. Give prob of sequence je.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 19*x - 149. Calculate o(-9).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211122102 + 122210?\nAnswer: 212022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/1)\/((-6)\/(-9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4 - 346482*l**3 + 3*l**2 + 346482*l = 0?\nAnswer: -115494, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/165)\/(4\/10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + g + 1166, -7*t = -2*t + g - 1930. Let v(q) = -q**2 - 11*q + 13. Let h be v(-6). Calculate the highest common divisor of t and h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303 + -30220221?\nAnswer: -30221024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12071.\nAnswer: 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(13\/5)\/(s*s*s**(-1\/14)\/s)*s**6\/(((s\/(s**(3\/2)\/s))\/s)\/s) assuming s is positive.\nAnswer: s**(321\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + 5 + 2*j**2 + 14 + 2*j**4 - 2*j**4 as f + k*j**3 + t*j + q*j**2 + m*j**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**3 + 52*a**3 - 30*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5 - 5 - 2*d + 6. Let c(n) = -1. Calculate 5*c(l) + g(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -343\/5 + 69. Let t = 1264 + -1269. Which is the closest to -1\/2? (a) -6 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 921.0000219 - 921. What is g rounded to six decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-12)*8\/(-6). Suppose -6*s + l*s = -356. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1703 and -101.\nAnswer: 172003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6) - (-57)\/2. Suppose 95*v + 162 + 313 = 0. Put v, 2, m, -1 in ascending order.\nAnswer: v, -1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33277 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(490) + sqrt(490))*-2)\/((sqrt(64)\/(sqrt(8)\/sqrt(2)))\/sqrt(8)).\nAnswer: -28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.0346866\nAnswer: -0.0346866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 186?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252956256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - 0.1. Let m = -5 + 4.892. Let g = -3.108 - m. What is the second biggest value in b, 2, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019314074 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387597*b**3 - 1008882*b**3 - 610723*b**3 - 582212*b**3.\nAnswer: -1814220*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92118.37 nanometers to micrometers.\nAnswer: 92.11837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 7:38 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*n - 162*n - 197 + 1025 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169 by 192704.\nAnswer: 169\/192704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1630587 + -13?\nAnswer: 1630574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02581 + 0.11419. Which is the nearest to -1? (a) -4\/13 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3*z = -25, 65*z + 75*z + 68*z - 5 = 203*z for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*12*(-13)\/39?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 451799897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*2 - 6*(2*sqrt(24) + sqrt(24) + sqrt(24)))\/(2*2*sqrt(768)))**2.\nAnswer: 25\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 453243683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 6*g**2 - 17*g + 1. Give w(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (76\/8)\/(2\/52). Let j = 5185\/21 - l. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - k = -128, -2*h + 3*k + 24 + 96 = 0. Suppose 0 = 2*n + 2*b - 26, -5*n - 6*b + h = -3*b. Let a = 23 - n. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17*0.15\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25382, -50834, -76362, -101966, -127646, -153402, -179234?\n\"Answer: -38*d**2 - 25338*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(17)*-2 + (sqrt(68)\/sqrt(4) + -4)**2.\nAnswer: -10*sqrt(17) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -15*f**4 - 123*f**3 - 264*f**2 - 48*f = 0.\nAnswer: -4, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r**2 - 1. Let g be -2*(-3*1 + (-31)\/(-62)). Let u(j) = 12*j - 55. Let d be u(g). Let q(y) = -7*y**2. Give d*n(h) + 4*q(h).\nAnswer: 2*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by -70612?\nAnswer: 17\/17653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672822 is divided by 836300?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/3))**(-3)*(q\/(q\/q**(-2)*q))**35 assuming q is positive.\nAnswer: q**(-107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33546*k + 17724 = -33968*k for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 less than 0.037?\nAnswer: -30.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 1)\/((-4)\/2). Let i(u) be the third derivative of 0*u + 0 + m*u**4 + 1\/60*u**5 + 4*u**2 + 0*u**3. Let i(w) = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237348 - -237349.589808. Let y = l - 1.59. Round y to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvaozjvvjvovvjvvkv. Give prob of sequence ovak.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -36. Suppose g*w = -5*l - 205 + 44, l - 362 = 5*w. Let q = w - -75. Calculate the greatest common divisor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 14. Suppose h*u - y = 43, 0 = 4*u - 3*y + 5*y - 82. Suppose u = c + 16. Solve 0 = -c*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9106.7214736 and -947.\nAnswer: 8159.7214736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 50*t + 520. Give i(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -16.4. Let j = -0.6 + s. Let d = j - 0.7999993. Round d to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -9. Let f = -12 + u. What is f rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p - 2*n = -8, 0 = 2*p - 3*n + 2. Let x(r) = 0*r**2 + 3 + 3*r**2 - p*r**2. Let u be x(0). Solve u*f - 4*m + 15 = -0*m, 2*f - m = -10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 30 = -f, -2930*f - 3*k + 344 = -2927*f + 278 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x - 5. Suppose -18*c + 20*c = 8. Calculate m(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 21. What is the third smallest value in -0.2, -15, 3, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160.5 minus 1204838852?\nAnswer: -1204839012.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:56 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5649*m + 32088. What is a(-5)?\nAnswer: 3843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 1453*z - 1454.\nAnswer: (z - 1)*(z + 1454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 - (92\/22 - 36\/198). Suppose -5*q + 10 = 2*v, 0 = h*q - 5*q + 2. Suppose c - 10 = -c. Solve 5*t = 2*p + 30, -5*p + 3*p + v = c*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0, -86, 5, -333 in descending order.\nAnswer: 17, 5, 0, -86, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 37369891 + 7130109 = 0. What is c rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 19*a - 15 = 3*m, 0 = -3*a - m + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17\/2 (b) -743 (c) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:27 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 1237*z**4\/4 + 153*z - 505. Differentiate a(h) with respect to h.\nAnswer: 3711*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12*m + 790. Let b(d) = 15*d - 794. Give -2*b(o) - 3*q(o).\nAnswer: 6*o - 782","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - 0 - (0 - 2). Let c = 10 - l. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*o + 3, -22 + 6 = r + 5*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z - 3*z = 11*z + 143376. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 6)\/(5\/6) + 5. Let u = 2 + j. Calculate the greatest common factor of u and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w = -5*l + 65, -5*l + 5*w + 100 = 0. What is the highest common divisor of 60 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - -4. Suppose 0 = 3*k - 3*r - w - 0, r = 3. Suppose -5*p + 27 = -k. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 9. Let x be 2\/(-9) - (-1750)\/(-225). Calculate r(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 38 = 2*k + v, -5*k = -5*v - 220. Suppose -45*c + 16 = -k*c. Solve -6*m + 10 + c = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z**2 - z + z)*(-1524 + 91*z + 1524) + 69 - 69 + 5*z**3.\nAnswer: 915*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -11 + 7. Let h = 7.3 - 7. Sort 3, t, h.\nAnswer: h, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**7\/30 + 611*n**6\/120 - 194*n**5\/15 + 43*n**4\/6 - 3*n**2 - 166*n. Factor r(m).\nAnswer: -m*(m - 86)*(m - 1)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 16*g = 90. Suppose 12*a - 49\/2*a**g + 2 + 21\/2*a**2 = 0. What is a?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.198 - -0.198. Which is the nearest to -2\/5? (a) x (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-115013 + 13)\/((-1)\/8). Round t to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001101000111 (base 2) to base 5.\nAnswer: -242111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 184957\/20 + 208321\/10. Let i = f - 30088. Let g = i - -33\/10. Find the common denominator of g and -58\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22786924)\/40 - (-4)\/40. Let d = n + -168327. Round d to the nearest 10000.\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5)*(-s + 3*s + 6*s) - 2*s + 4*s - 2 + 1.\nAnswer: 10*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11257970?\nAnswer: 2, 5, 1125797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**4\/9 - 194*h**3\/9 - 830*h**2\/9 + 2234*h\/9 - 404\/3 = 0?\nAnswer: -6, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 154?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 18. Let k be x(-19). Which is the closest to k? (a) 4 (b) 1\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013012 is divided by 2489.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 + 2*l**2 + l - 2. Let v(g) = g**3 - g**2 - 1. Let a(r) = -k(r) + 3*v(r). Suppose -341*i + 265*i = -380. Calculate a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:55 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-1)\/sqrt(9) + 5.\nAnswer: -sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1032 (base 6) to base 9.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -522a7327?\nAnswer: 522a7330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9786.385ml to litres.\nAnswer: 9.786385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/593242 and -1\/748?\nAnswer: 221872508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 7.3. Let j = 1\/17 - -10\/119. What is the second smallest value in b, j, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.40883 - -0.09117. Which is the nearest to 1? (a) 4 (b) -10 (c) z (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220521625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9546)\/(-259) + (-12)\/14. Factor -v*j - 263*j - 13*j**2 - 133*j - 80 + 57*j**2.\nAnswer: 4*(j - 10)*(11*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-232)\/(-1218))\/(2\/3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 4. Let n be v(-3). Let w = -14482\/5 + 2896. What is the nearest to n in w, 0.5, 1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*i + 215, 0 = i + 6 - 3. Suppose 5*a = q + 73. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**3 - h**2 - h. Let w(c) be the third derivative of -7*c**6\/120 + c**5\/60 + c**4\/24 + 3*c**2. What is -6*r(a) - 5*w(a)?\nAnswer: -a**3 + a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -103. Suppose 4*j + 9*j - s = 0. Suppose -5*r = -j*r + 541. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2 - 3*k**2 + 5*k**2 + 2*k**4 - 3*k**3 - k**4 - k = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m*(m*m**(-7\/3))\/m*m*m))*m**(2\/9)*m)\/((m\/((m\/((m**(3\/20)\/m)\/m))\/m))\/(m**(-2\/15)*m)) assuming m is positive.\nAnswer: m**(829\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 2*v - 3. Let a be w(-3). Let b = a + 0. Let r = b + 140. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -539 < -540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 1. Let k(j) = 8*j + 40. Let s(o) = k(o) - 5*x(o). Let f = -124 - -177. What is the remainder when f is divided by s(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (1 + 2)) + -24 + 21\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 24 = -2*o. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2195542 to the nearest 10000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 9:55 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 11.\nAnswer: -19\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 291?\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7620 - 7620.1. Let y = 3 - 2.6. Sort a, y, -3\/5, -0.04.\nAnswer: -3\/5, a, -0.04, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*k + 22*k + 9. Suppose 3*y = -3 - 0. Is y greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 45122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + y + 4*y + 65, -5*m - 2*y = -65. List the prime factors of ((-120)\/9)\/(m\/(-195)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u + 31. Give z(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 56381 = 56369 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1416*l - 2900*l = -1436*l - 1632 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -936 divided by 12\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 587780507.12999767 - 587781043.13. Let u = 536 + n. What is u rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -20122120002?\nAnswer: 20122120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 298*i**2 - 1016*i + 33949. What is p(301)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 11*o**2 + 19*o - 20. Let z be t(12). Let x be (0 - -1)\/(z\/(-12) - -5). Sort x, -2, -4, 0.\nAnswer: -4, x, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 0, -0.25, 0.1, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 + 134. Calculate the lowest common multiple of (x + 238\/35)\/(2\/130) and 22.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4813, -4812, -4809, -4804, -4797, -4788, -4777?\n\"Answer: z**2 - 2*z - 4812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 475152?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*f = 32*f + 25*f + 5364. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from qbkbfbjeqekkbf.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363681?\nAnswer: 3, 17, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 5. Suppose -66 = 3*k - 0*k. Let n = l - k. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/3 + 1271560*x**2\/3 - 2543108*x\/3 + 1271552\/3.\nAnswer: -4*(x - 317888)*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 2\/7 (c) -1\/6 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**5\/120 + r**4\/8 - 5*r**3\/3 - 8. Let c(b) be the third derivative of k(b). Let z be c(-2). Are -1\/7 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1791 - -1787. Which is the nearest to 1\/3? (a) -0.4 (b) -3\/10 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*l + 5063*l + 2330*l + 3569*l)*(4*l - 9*l - 9*l).\nAnswer: -152194*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggqgqgggqgt. Give prob of picking 1 q, 1 g, and 1 s.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*h = 170, -65*k = -62*k - h - 202. Suppose 0*c - 3*r = 3*c - 66, -r + 62 = 3*c. Calculate the lowest common multiple of c and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110930 divided by -2\nAnswer: -55465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*y + 259 + 526, 2*m - 2*y - 1606 = 0. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 6. Let f(x) = 2*x - 5. Let o(s) = -s + 1. Let m(p) = v*f(p) - 4*o(p). Differentiate m(q) with respect to q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 452\/13 or -67?\nAnswer: 452\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhtv when four letters picked without replacement from {h: 2, v: 2, t: 8}?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from kpkaakpakkkpkapa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -4, 8, -616, -3 in decreasing order.\nAnswer: 8, 4, 0, -3, -4, -616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26531822 to the nearest integer?\nAnswer: 5151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2944776250?\nAnswer: 2, 5, 13, 23, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - 46 - (1 - 20)) + 24.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 + 1 + 60 + -53)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -166587, -333199, -499835, -666495?\n\"Answer: -12*j**2 - 166576*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t = 0. Let o = 92 + -88. What is the closest to 0 in o, t, -1\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -665588 take away 1?\nAnswer: -665589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7395*z - 7122. Give t(-1).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*p + 3*j, -3*p - 5*j = -6*j - 44. Let g(m) = -m**3 - 12*m**2 - 2*m - 18. What is the lowest common multiple of p and g(-12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*m = -454*m + 528 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-240)*80*(-11)\/(440\/(-96)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362939 - 362939 - v + 9*v**2.\nAnswer: 9*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w**(-6)*w)\/w)\/w**(-3\/7))\/(w**(1\/3)\/w)**(-10\/11)*(w*w**(1\/2))**(2\/67)\/(((w\/(w**6\/w))\/w*w)\/w**1) assuming w is positive.\nAnswer: w**(13423\/15477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 2. Suppose 0 = -3*x - 12, -31 = -3*i - 3*x - 2*x. Suppose 0 = -z + i + 8. Suppose 2*b + z = 7*b. Calculate p(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = -2*v, 4*v - 11 = -a + 1. Let q(z) = 4*z + 2. Let i be q(4). Let y(h) = 33*h - i*h + 4 - 16*h. What is y(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6946?\nAnswer: 2, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 9649120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d**2*p**5 - 44*d**2*p**4 + 32*d**2 + 8*d*p wrt p.\nAnswer: -100*d**2*p**3 - 528*d**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 9:05 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89085.\nAnswer: 3, 5, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.66453 - 0.34227. Let w = z - -13. What is w rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((-675)\/(-10))*(0 + 2)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165726389?\nAnswer: 53, 613, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 4, i: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*(sqrt(567)*-2 + -5)**2 - ((sqrt(567) + 3)*-1 + -3 + (sqrt(567) + -1 - sqrt(567)) + sqrt(567) + sqrt(567))**2)*-1.\nAnswer: 594*sqrt(7) + 9787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*t = -0*l - 4, -7 = -l - 5*t. Let c = 2 - l. Suppose 0 = -c*i + 75 - 5. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 37. Let b = v - -19. Solve n - 5 = 3*y - 0, -2*y = -2*n + b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 175*n**3\/6 + n. Let i(q) = -14 + 39 - 3 - 11 - 11 + q. Give i(l(m)).\nAnswer: 175*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-4 - (-2 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-23 + (-27 - -54))*(-331)\/4. Which is smaller: -4308\/13 or y?\nAnswer: -4308\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*((-60)\/(-18))\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -790 - -788. Let s = -1.71 + -33.29. What is the third smallest value in 5, s, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = -4*i + 35, 4*a - 92 = -4*i. Suppose 27*s - 3376 = a*s. What are the prime factors of s?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516569960 a multiple of 610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -4*u, 2*u - 3*g - 20 - 2 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 + 153 = 4*a. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffnfnnbb. What is prob of sequence bb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/12 - x**3\/6 - 2*x**2 - 5*x. Let d be z(-3). Let m = d - 8. Which is greater: -1\/6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from xyxfffxxfsxxxxs?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.31 (b) -18\/11 (c) 262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -13*p**2\/2 - 21*p - 6. What is the tens digit of q(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 53331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1333 + -1?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 12 + 2. Let h = 7 + d. Suppose h*v + 2*v = 0, -3*v = -n + 80000. Round n to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3*c + 21 = 0, -5*c - 74 + 53 = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -653, -402, -151, 100?\n\"Answer: 251*q - 904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 1 + (-2 - (4 - 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18054\/2279, 1\/6, -2\/17?\nAnswer: -18054\/2279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 4906 = -371 - 6465. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*l - 120*l - 4*z - 23 = 0, 0 = 3*l + z + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 585*a**2 + 303 wrt a.\nAnswer: 1170*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 8 = 6*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -683*w**7\/210 - w**6\/120 - 777*w**5\/20 + 526*w**2. What is the third derivative of y(p) wrt p?\nAnswer: -16392*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 35*k + 139. List the prime factors of r(24).\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4610743 to the power of 1\/2, to the nearest integer?\nAnswer: 2147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-18))\/k*k*k\/k**(-3\/13)*k*k)\/(k*k**(7\/3)*k*k**(-6)*k))**1 assuming k is positive.\nAnswer: k**(-511\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u - 9*u + 0*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -204*b - 56 + 180*b + 13 in the form u + n*b and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 680119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1352 (base 6) to base 13\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3471 (b) 1 (c) 1.4 (d) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 3:43 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 915 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/36 - (-1 - 5). Which is the biggest value? (a) -1 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 564*v - 1379 + 23422 + 517 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 5*u = 11, 5*l - 1182*u = -1177*u - 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59761 + 331.\nAnswer: 60092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11134 - 11006. What is the third biggest value in 0.053, q, 3?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 6 = 0, -3*w + 1262 = 3*z + 1268 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3, -1\/1315, -2, 0.5 in decreasing order.\nAnswer: 0.5, -1\/1315, -0.3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -47*d + 48*d. Let n be 3 + d + -3 + 3. Solve -3*c = n*c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 24 - 4. Sort -9, b, 2 in descending order.\nAnswer: 2, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqfqqqqq. Give prob of sequence fqq.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.063? (a) -5 (b) -1\/522 (c) 0.1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w - w - w - 6 + 4*w. Let f be s(-12). Let x be 14\/4 - f\/4. Solve -2*y = -4*p + 3*y + 12, 6 = x*p + y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0*z**5 + 0*z**3 - 3\/2*z**2 + 0*z**4 + 0 + 2*z + 1\/5*z**6. Differentiate m(k) wrt k.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 1. Let y(p) be the first derivative of 51 + 5\/2*p**2 - p**3 + 5*p. Determine -5*r(u) - y(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42995201\/282693198 + -8\/343909. Let k = 310988\/137 - 2270. Let r = m - k. Is r at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmiqlox. Give prob of sequence mqil.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3990)\/(-25935) - (-37)\/13. Factor -8\/19*u + 2\/19*u**c + 2\/19*u**2 - 8\/19.\nAnswer: 2*(u - 2)*(u + 1)*(u + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6660604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 84, -0.04, -2\/57?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = c + 2*z + 7, 3*c + 5*z + 51 = 0. Suppose -2*p + 23 = 2*p + f, 2*p + 3*f = 19. Let m = p - c. What is the remainder when 65 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280656 by -732.\nAnswer: 23388\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 7*z + 5. Determine u(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000110296144 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -10*t + 83. Let y be z(8). Let k(b) = 23*b**2 - 8*b - 8. Let i(m) = 8*m**2 - 3*m - 3. Calculate y*k(x) - 8*i(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20 - (-1692)\/90)\/((-14346)\/(-20)). Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1814*z = -30*z - 31348 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8845 + -8849.049. Let z = 104.049 - 104. Let v = z + k. What is the closest to 1\/4 in v, -5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 21888531.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*a = 236*a + 28212. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -12. Put 5, 1, l, -1 in increasing order.\nAnswer: -1, 1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - 46. Sort 5, -2, c, -1.\nAnswer: -2, -1, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 13*r + 1626. What is the remainder when r is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from epejhlrherhj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -29, -12, 53, 190, 423, 776?\n\"Answer: 4*p**3 - 12*p**2 + p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/24 and -19\/193028922.\nAnswer: 772115688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**6\/180 + n**5\/20 + n**4\/6 + 2*n**3 + n**2 - 136*n. Let q(o) be the second derivative of r(o). Give q(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(0 - 1)*-1. Suppose 0 = -283*o + 273*o - 20. Sort -3, 4, o, s.\nAnswer: -3, o, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sseeessssesssz. Give prob of sequence ze.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 4 - 4)*(-8*v + 8*v + 2*v**2) + 5213*v - 633*v**5 - 5213*v.\nAnswer: -637*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-5)\/(-6))\/((-16580)\/3316)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.106, 29, 9, -1\/5 in ascending order.\nAnswer: -1\/5, 0.106, 9, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 744 - 701. Calculate the remainder when 59 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 3:22 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55343365.\nAnswer: 5, 7, 11, 43, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -32651974 less than -32651975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 7*y - 9. Let c be p(12). Let n be c*((-34)\/6 + 5). Calculate the greatest common divisor of 161 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*r + 4*r + 4, -5*r - 3*t = 4. Is r smaller than -8\/207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + m - 2 - 2 = 0, -4*t = -m - 6. What is the second derivative of -11*q - 3*q**t - 4*q + 16*q wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iod when three letters picked without replacement from {i: 3, d: 1, o: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32603 and 2.\nAnswer: 65206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*t + 2898 = -9767. What is the greatest common factor of t and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139475 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3430 - -5?\nAnswer: -3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p**3 - 3*p**2 - 3*p - 3. Let a(f) = -266 + 135 + 15*f**3 - 7*f - 7*f**2 + 124. What is -3*a(y) + 7*j(y)?\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00178324875 to 6 decimal places.\nAnswer: -0.001783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6103541 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rinuiyruerinruny. What is prob of picking 1 n and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -188\/3 - -64. Let k = w - 13\/12. Let x = -154 + 463\/3. What is the nearest to -0.2 in k, x, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2537*t - 53340 = 0 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -7 + 22 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 25, 109, 0 in decreasing order.\nAnswer: 109, 40, 25, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x + 23*x - 266*x = 9990 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/1335401 (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w = -5*s - 15*w + 22, -3*s + 3*w = -15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 11 - 7 - (1 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2252 (base 6) to base 8.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2*p + 3*p + 2 = 0, -m + 2*p = 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 14, 0.035, 19?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-200)\/(-15)*(-651)\/(-4). Let a = 21965569\/10088 + -105\/5044. Let n = a - q. What is the common denominator of n and 99\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.63906ng to kilograms.\nAnswer: 0.00000000000163906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-6*sqrt(832)*-4 + sqrt(832) + 1 - (-4 + sqrt(832)*-2 - (0 + sqrt(832)*-2)))*1)**2.\nAnswer: -1560075 - 6000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 6*g**2 - 4*g + 2. Let n(a) = a**3 - a**2 + a + 1. Let t(c) = 2*n(c) - y(c). Let j be t(6). Let m = -22 - j. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 + 483. Let k = g + 326. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**1*m)*m*m)**(-29\/2)*(m*m**0)**16 assuming m is positive.\nAnswer: m**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 + 6*i**3 + 3*i**4 - 6*i**3 + 2*i**2 + 4*i**4 + 1 - 5*i as g*i**4 + z*i**3 + t*i**2 + c*i + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**2 + 7. Let h(i) = 5*i + 4. Let y(b) = -b - 1. Let c(m) = -h(m) - 4*y(m). What is c(l(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 16*c**2 - 16*c**2 - 8*c**3 + 32*c**3 to n + h*c**2 + q*c**3 + v*c and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 + 293*j**2 + 388*j + 36588. Calculate l(-146).\nAnswer: 1256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 3:58 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 2:39 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, t: 1, m: 3}. Give prob of picking 1 m and 1 g.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -183.83 and 0.536?\nAnswer: -98.53288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q. Let z(x) = 1934*x**2. Determine z(p(o)).\nAnswer: 1934*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 26*a - 2. Calculate h(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.584 + 0.004. Let c = t + 0.28. Sort c, 3, -2\/33.\nAnswer: c, -2\/33, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 7:55 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105573554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3276\/2087?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 12:52 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174 (base 9) to base 3.\nAnswer: 12111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 906 + 282 = -118*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.2, 0, 2.22, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1568*q**2. Let n(c) be the third derivative of 7*c**4\/24 + 13721*c**2. Determine z(n(r)).\nAnswer: -76832*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, m: 6, l: 1}. What is prob of picking 3 m?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 80, 61, 24, -37, -128, -255?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2675 is divided by 1170?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -285, -710, -1147, -1602, -2081?\n\"Answer: -u**3 - 418*u + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2) - (6 - 125). Suppose -7*u - t = -10*u. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 5. What is the lowest common multiple of m and 1\/1 + 15\/1?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/9, 1, -342, -0.052, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = -9. Calculate the remainder when 4 is divided by 12\/9*k\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -512\/3 + 1225\/6. Let g = 33 - t. Sort g, 3\/5, 2 in ascending order.\nAnswer: g, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 6*b + 37)*(1 + 1 + 0)*(-b + 2 - 2).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3678162842138 take away 13?\nAnswer: 3678162842125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-184)\/(-14)*7*((-49)\/2)\/49?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 129785473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2)*2\/(-8)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 + 4.865555\nAnswer: 5.965555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 8. Let x be r(4). Suppose -2*v = -x*v - 2. Is -7*3\/3*v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54734 or 602060\/11?\nAnswer: 54734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38)\/4 + 3 + 4\/8. Let p(r) = r**3 + 8*r**2 + 14*r + 10. Calculate p(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6400000*c - 5 + 5. Let t be a(1). What is t rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71620.69 micrograms to milligrams.\nAnswer: 71.62069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 5*c - 158, 2*b - 2*c = -0*c - 1722 + 1658 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by -60148\nAnswer: -71\/60148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.13939?\nAnswer: -0.69695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 7*u = -25, 7*u = -9*z - 9*z + 3*u + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*i**2 + 3*i**2 + 0*i**2 - 5*i**2 + (6*i - 2*i - 2*i)*(-3*i + 2*i + 0*i) + i**2 - 4*i**2 + i**2 - 1432*i**2 + 3322*i**2 - 1423*i**2.\nAnswer: 459*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4 = -4*j, 3*k + 2*j - j - 3 = 0. Calculate the highest common factor of k and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 13. Suppose 0*o + o - 85 = 2*k, 2*o = -z*k + 170. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + 31 + 20 + -24.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -28*b**3 - 4*b**2 + 34*b**2 + 5*b**2. Let p(y) be the second derivative of -3*y**5\/20 + y**4\/3 - 226*y - 2. Give 4*n(d) - 35*p(d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/27)\/((-2)\/60*2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 215177427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Suppose 0 = 3*p - 3*k - 12, -2*k - 2*k - 13 = -3*p. Let z = p + 12. Solve -x = i*x - z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 - 5*m**2 - 8*m - 62. Let c be p(10). Which is smaller: c or 1356?\nAnswer: 1356","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k + 3*k - 5*k + 10. Let z be s(-1). Suppose -35 = -5*u + 190. Calculate the highest common divisor of z and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210997 to the power of 1\/2, to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -405*q + 11. Is n(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*x + 106*x - 18*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 3*j - 1. Let v be n(5). Let k(u) = u + 9. What is the remainder when 83 is divided by k(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/4*(9 + -3). Let x = 21 + c. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48493 is divided by 645.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*i - 30, -3*g + 5*i + 0*i = -30. Let n = -4 + g. Solve 0 = 2*c + 4 - n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3)**14 assuming w is positive.\nAnswer: w**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 + 58*t**2 - 9*t + 104. Is f(27) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1065 and 227697.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(80) + sqrt(5) + (sqrt(20))**2*-2.\nAnswer: -41 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**3\/3 - 23*p**2\/2 - 28*p + 36. Let h be b(-13). What is the derivative of -17*d**3 + 102*d**2 - 44 - h*d**2 wrt d?\nAnswer: -51*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 3*f + 3. Let c be n(3). Suppose -3*q = 5*s + 27, 3*s + 3*q + 25 = -q. Sort s, -2, c in ascending order.\nAnswer: s, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 50214, 50270, 50326, 50382, 50438, 50494?\n\"Answer: 56*q + 50158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -197*f**4 + 2*f**2 - 304*f. Let b(k) = 591*k**4 - 7*k**2 + 913*k. Let l(s) = -2*b(s) - 7*c(s). What is the second derivative of l(x) wrt x?\nAnswer: 2364*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 6:47 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 612488082 or 612488080?\nAnswer: 612488082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-430)\/129)\/(89\/45 - 2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/27 and 125\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 3 + 0*h**3 - 1\/4*h**4 + 1\/6*h**6 + 0*h**2 + 0*h + 0*h**5. Find g, given that z(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53628 divided by 3?\nAnswer: 17876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -156\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + c - 6. Let p be h(5). Suppose -8*y + 10*y = p. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -214 - 33026?\nAnswer: -33243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -18. Find the second derivative of z*d**2 + 4*d - d - d wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/246 and 32\/15.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 - 119.1. What is the closest to 0.02 in o, -0.2, 0.4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, 13, 8, 1, -8, -19?\n\"Answer: -z**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528699433?\nAnswer: 1528699433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 10.\nAnswer: -7, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320158053?\nAnswer: 3, 41, 263, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.357 * -132.4.\nAnswer: 1503.6668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-29)*v*v\/(v**(-28)*v)*v*v**(-16)*v*v\/(v\/(v*v\/(v**(-27)\/v)*v)) assuming v is positive.\nAnswer: v**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 393 divided by 3\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from {c: 2, t: 1, x: 5, v: 1, o: 4, e: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8404741 is divided by 62721?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**5 + u**5 - u**5)*(-6 + 14 - 5 + 0 - 2 + 3 + (-3 + 0 + 4)*(-4 + 4 - 2) + 3 + 4 - 5)*(3 - 3 - 1).\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) -1 (c) 1\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13746, 3, 1, 35, 5 in increasing order.\nAnswer: 1, 3, 5, 35, 13746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14116464 a multiple of 2214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxeucxffxuet. What is prob of picking 4 x?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i**3 + 147496*i**2\/3 - 143638*i\/3 - 1260 = 0 for i.\nAnswer: -1\/39, 1, 1890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 92585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -611, -606, -597, -584, -567, -546?\n\"Answer: 2*m**2 - m - 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47956082 - 47956077.0000006. Let p = -5 + 0. Let f = d + p. What is f rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5368549913?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -136295, -272563, -408831, -545099?\n\"Answer: -136268*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -346129, 5, -1 in descending order.\nAnswer: 5, -1, -346129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -422396 + 6?\nAnswer: -422390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 16 = -2*b - 14, 2*b - 4*b + 194*h = 369*h - 180*h - 2 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73521*n - 73497*n = -168 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288442 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21353 - -1?\nAnswer: -21352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000558 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/11633, -2\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**4\/6 + 11*w**3\/6 + 445*w**2\/2 - 13*w. Is q(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c + 5. What is w(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (2 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6488.391 - -6524. Round j to one decimal place.\nAnswer: 35.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5049.262 litres?\nAnswer: 5049262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1882 is divided by 173?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = 8. Let z(o) = -o**2 + 6*o - 3. Let a be z(f). Let t be (6\/27)\/((-6)\/9). What is the third smallest value in 3, a, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5202.358ng to tonnes.\nAnswer: 0.000000000005202358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 102, 39, -2 in ascending order.\nAnswer: -36, -2, 39, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/33 and 17\/4908.\nAnswer: 53988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44 + -32?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 8.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -239*l**5\/5 + l**2\/2 + 13*l + 220. Differentiate m(k) with respect to k.\nAnswer: -956*k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 10 (c) -0.2 (d) -2 (e) 2\/21 (f) 0.019\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 7ba2?\nAnswer: 7b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/2, -190 in descending order.\nAnswer: -1\/2, -4, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 171*n - 16. Is x(51) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 17*b**2 - 18*b - 1. Let c be u(18). Let n(a) = -4*a**2 - 4*a**2 - 6 - 2*a + 6*a**2 + 5 + 16*a**2. Calculate n(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8098 - 3932. What is u rounded to the nearest 100?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Suppose 51 = 3*f - g, -f - 2*g = m*g - 30. Solve -f = 3*d - 2*j - 6, 5*d + 20 = -5*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-384) - 2\/12. Let o(i) = -i - 6. Let s be o(-5). Put 1\/9, b, s in descending order.\nAnswer: 1\/9, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*u - 12 + 125, 0 = -3*u - o + 98. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/60 + x**4 + 37*x**3\/6 + 80*x**2 - 2*x + 17. Give i(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 10:46 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 4*q. Let h be v(-3). Suppose -5 = -3*d + 4. Suppose d*k = 4*k - h. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 674, 1743, 2814, 3887, 4962, 6039?\nAnswer: 7118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**5 + 1020*s**4 + 23*s**3 - 6*s**2 + 354*s - 10.\nAnswer: 60*s**2 + 24480*s + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5256 - 2?\nAnswer: -5261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 3*x + 5. Suppose -999*u + 996*u - 6 = 0. Determine w(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -4. What is the tens digit of 84 - (h - 6*8\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, -8516, -2, -0.3 in increasing order.\nAnswer: -8516, -2, -0.3, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6*(-12)\/(-8))\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -159806.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18384 - 182?\nAnswer: -18566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 153 = -3*p - 3*f, -p - 2*f + 32 = 0. Suppose -3*m = -0*m - p. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from ajaaananajjjj?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**4 + 2 - 3*t**3 + 3*t**3)*(5 - 9 + 0) in the form f*t**3 + d + s*t**2 + w*t**4 + r*t and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -133302302 (base 4) in base 5?\nAnswer: -13131401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 4*w - 21 = -4*u, 0 = 5*u - 5*w - 15. Let c be (-1)\/(-3)*1*27\/9. Let a be (-2 - c)*(-32)\/48. Solve -4*b = -u*k - 40, 0 = -b - 2*k - a*k - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -2718.\nAnswer: 54.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/((-1056)\/160) - (-3068)\/(-612)?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1 + (3 - 1 - 4)*(6 + 0 - 5) + 0 + 2 - 1 + 4 - 3 - 5 + (2 + 2 - 3)*(2 - 1 - 2) - 5 + 2 + 5)*(0*d - d**4 + 0*d).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzz when three letters picked without replacement from zazf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 70 and 0.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7510 in 0, -13, -0.3, 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-14)*77\/(-66)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/25193430 and -47\/1119708.\nAnswer: 50386860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4)\/i*i*i\/i**(-5)*i)\/(i\/((i*i**2*i)\/i*i*i)*i*i**(-1\/5)))\/((i**0)**33\/(i**(-3)*i**(-1))) assuming i is positive.\nAnswer: i**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + 2 + (-15 - -23). Solve -s + 12 = p*j + 2, -2*s = j - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/966 and -101\/84?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*s + 11, 21*s = 5*o + 16*s + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = -4*i + 7*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7f939 (base 16) in base 11?\nAnswer: 327669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -5 + -10 - (0 + -3 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccjfsjcsjjfjcocfcjj. What is prob of sequence sffj?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11759 is divided by 210.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*j + 35*j + 231 - 1064 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -389*p**2 + 16*p - 23097.\nAnswer: -778*p + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 61*p - 426 = 0. Solve -4*c + 3*c - 5*i = p, -5*c - 3*i - 8 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-14) + (2164\/42 - 52)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 62*a**2 - 9*a**2 + (-2 + 0 + 3)*(3*a - a**2 - 3*a) as k*a + z*a**2 + b and give z.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.052791086 and 0.7?\nAnswer: -0.0369537602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*l - 62*l - 54*l - 61*l - 57*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*2*1 - sqrt(112)*1*-2)**2 + ((sqrt(7) + -1)**2*2 - (sqrt(7) + 1 + sqrt(252))).\nAnswer: -11*sqrt(7) + 1807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = -13 + 5. Let i(t) be the third derivative of -8*t**2 - 3\/16*t**d + 0 - 9\/8*t**3 + 0*t - 1\/80*t**5. Suppose i(l) = 0. What is l?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5830314836.\nAnswer: 2, 277, 5262017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 144a (base 11) to base 2\nAnswer: 11101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -492 - -506. Let d = -30 - -39. What is the remainder when w is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 878032963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -3 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1776 + -100145832.2\nAnswer: -100144056.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 91*y - 1696. Calculate q(-40).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/5 (b) 8 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -495411655 rounded to the nearest ten thousand?\nAnswer: -495410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3536, -11861, -25738, -45167, -70148, -100681?\nAnswer: -136766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 26. Let d(i) = i**2 - i. Let v be d(-1). Which is the third smallest value? (a) j (b) v (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -b + 2*b - 2*m, 3*m = -5*b + 20. What is the greatest common divisor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7447, -14929, -22411, -29893, -37375?\n\"Answer: -7482*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 7*g**2. Let c be (-1 + -1 - 57\/(-19)) + -6. Let k(u) = u**3 - 7*u**2. Give c*k(s) + 4*a(s).\nAnswer: -s**3 + 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = -3*h + 3*z, -h = 5*z - 10. Let d = 2 - h. Solve -4*j + d = 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -78, -119, -176, -249, -338?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 429\/20? (a) -0.1 (b) -1 (c) 3.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*r + 205, 5*r = -4*y - 345 - 423. Let o = -168 - y. What is the greatest common factor of o and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -134\/5. What is the third smallest value in x, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 20, 21, 6, -31, -96, -195?\n\"Answer: -q**3 + q**2 + 15*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = -16. Suppose 4*a = -y - 23, y = 5*a - 2*y + 33. Let c be (-1)\/3 + (-548)\/a. Calculate the greatest common divisor of n and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156448344.\nAnswer: 2, 3, 13, 73, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21161468 divided by 450244.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 0 - (-2)\/5 - (-8280)\/300.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 3. Let d = 5 + i. Let h = 0.39 + 0.01. What is the closest to 1\/2 in h, d, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136978409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**3 - 8*u**2 + 11*u - 6. Let z(y) = -5*y**3 + 7*y**2 - 10*y + 6. Let m(f) = 3*a(f) + 4*z(f). Let v(o) = -o**2 + o - 1. Determine -m(w) - 6*v(w).\nAnswer: 2*w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -3, -1, -5 in decreasing order.\nAnswer: -1, -3, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5594.304 decades?\nAnswer: 55.94304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -99.8391 and -2.\nAnswer: -101.8391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5*s + 9 + 7, 4*s = a - 2. Let n = a - -6. Suppose -c + 32 - 3 = n. What is the remainder when c is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 6*g**2 - 3*g + 2. Let w be ((-105)\/10)\/((-5)\/(-70)). Let k = 153 + w. What is a(k)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-20))\/((-1)\/(-8)). Let w be (c*(-6)\/16)\/(-3). Sort -0.2, -2, -21, w in ascending order.\nAnswer: -21, -2, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -557 and -0.5.\nAnswer: 278.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*o + 191 = -82, 1285 = 5*x - 4*o. What is the remainder when x is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4577 - -4597. Let d(p) = -p**2 + 6*p. Let g be d(5). Suppose g*v + 5 = j. Calculate the least common multiple of 1 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -36*f + 40. Let l(b) = 4*b + 2. Calculate -2*l(r) - n(r).\nAnswer: 28*r - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, -0.5, -145, 247 in descending order.\nAnswer: 247, 11, -0.5, -5, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.24 in 55, -29\/579, -1\/4?\nAnswer: -29\/579","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10\/7 - 23\/21. Let d = 0.3 + -0.7. Let z = d - -0.3. Which is the closest to z? (a) 2 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**2 + 11*x. Let f(u) = 2*u**2 - 3*u. Let w(y) = -22*f(y) - 6*q(y). Let c(o) = -5*o. Calculate c(w(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -13*l. Let q(k) be the second derivative of -17*k**5\/60 + 53*k**2\/2 - 5*k - 21. Let y(c) be the first derivative of q(c). Give y(a(d)).\nAnswer: -2873*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-3)*(-7 - -4). Let i = -2 + -1. What is the units digit of i - z\/(7\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -15 (b) 4 (c) 0.4 (d) 6048\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + r = -235, -5*h = r + 2*r - 315. Let g = h + -28. Let k = g - -16. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16986*t + 840250 = 126838 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54150 is divided by 52?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 less than -853823?\nAnswer: -853809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 34 = -6*a + 32, 3*g + 11 = -5*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6450\/(-25))\/43*-33*((-40)\/9)\/(-8)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 524*d**3 + 16 - 527*d**3 - 3 to v*d**2 + o + g*d + u*d**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (480\/85680*459)\/((-1)\/(-14))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23585?\nAnswer: 5, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 128 = 4*f + 5*d, 12 = f - 4*d. Let m = 31 - f. Solve 0 = -m*l - o + 4, -4*o - 2 = l + 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*w + 14. Is (-30664)\/(-24)*(-3)\/(-6)*w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smggkfggygmymmfgm. What is prob of picking 2 y, 1 s, and 1 k?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 310172*q**2 - 4*q + 1240688.\nAnswer: (q - 310172)*(q - 2)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -12*b - 1. What is the tens digit of t(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-14)*-2878)\/((-35)\/(-245)). Let o = s + -1436. Factor 1\/4*p**5 - 3\/4*p + 0 - p**4 + p**2 + 1\/2*p**o.\nAnswer: p*(p - 3)*(p - 1)**2*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5967*o - 3*i = -5968*o - 21, 0 = 2*o + i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k - 1. Let n(i) = 2*i**2 + 24*i - 3. Let g(z) = -n(z) + 3*x(z). Find the second derivative of g(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a61 (base 16) in base 6?\nAnswer: -51133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + -4*(sqrt(104) - 2*sqrt(104)))\/((-1*sqrt(96))\/sqrt(12)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*h - 1. Let b be h\/(-2) - 28\/(-8). Suppose 582 = 2*m + b*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09165 minus 1427231751?\nAnswer: -1427231750.90835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1056154 (base 7) to base 13.\nAnswer: 47cb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 2*l**2 - 2*l**2)*(117 + 95 + 233).\nAnswer: -1335*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 4*q - 17*q**2 + 0*q**2 + 57 - 4*q**3 - 6*q**2 + 0*q**2. Is n(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306627 is divided by 599?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 1)*(-3*d - d + 7*d)*(5*d**4 - 49*d**4 - d**4).\nAnswer: 405*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 50*q**2 - 405*q + 382. Give z(-39).\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -20 + 22. Factor 49*w**3 + 217*w**4 - 53*w**2 - 212*w**4 + w**3 - 2*w**h.\nAnswer: 5*w**2*(w - 1)*(w + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*k - 2634, -5*k = 84*x - 83*x - 861. Calculate the lowest common multiple of 15 and x.\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 968 is divided by 313.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1768*g**2 - 170. Let c(f) be the first derivative of 31*f**3\/3 - 3*f - 4695. Determine -340*c(k) + 6*y(k).\nAnswer: 68*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*m + 95 + 1 = 0, 2*g = 3*m + 48. Suppose 0 = 2*l - 4*b - g, -2*l + 3*b + 23 = 3. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0369 + -0.1631. Which is bigger: f or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 2. Let o be a(6). Suppose -2*y = -0*y + o. Let i = 0.62 + -0.92. What is the smallest value in y, -2, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60196457981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34 + -9db9a?\nAnswer: -9db66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2783 and 774884?\nAnswer: 17822332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(sqrt(12)\/sqrt(3) + sqrt(4)))**2 + sqrt(3))*2 - 1*(sqrt(9)\/(sqrt(3)*1))**2.\nAnswer: -3\/2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 6*f + 6. Let y be z(-5). Suppose y = w - 1. Differentiate 1 + 7*t**2 - 7*t**2 - w*t**4 with respect to t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 1596 = 1668 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -3\/2, 0.1, -2 in descending order.\nAnswer: 0.1, -3\/2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5 - ((-198)\/(-5))\/11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1703, -3410, -5115, -6818, -8519?\n\"Answer: h**2 - 1710*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -34. Suppose -4*o = -d*o + 55. Let p(x) = 16*x - 16. Let b be p(o). What is the highest common divisor of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 25. Let f(r) be the second derivative of 0*r**2 + 0 - 1\/5*r**6 - 1\/10*r**5 + j*r + 5\/24*r**4 + 1\/6*r**3. Determine p, given that f(p) = 0.\nAnswer: -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-66)*(-54)\/5. Let p = 147637 + -147639. Which is the closest to p? (a) -1 (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 92*m + 20786. Calculate k(-240).\nAnswer: -1294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39313 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**3 + x**3 + 5*x**3 - 2*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*g**3 + 12*g**3 - 67 + 67 - 2*g.\nAnswer: -29*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 8:58 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 5. Suppose 5*p = -2*d - 12, 3 = -5*p - w*d - 1. Let k(y) be the third derivative of y**6\/120 + y**5\/20 - 5*y**4\/24 + y**3\/3 + y**2. Give k(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176562\/308959 + 2\/44137. Let h = 0 - 1.5. Let x = h + -0.5. What is the third biggest value in n, x, 7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 582312008 and 6?\nAnswer: 1746936024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3)*(7 - 4). What is the remainder when k\/(-2)*(-4 - -6) - -75 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.2, -2\/59, 5 in descending order.\nAnswer: 5, 0.2, -2\/59, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 395 and 1106?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -26. Solve 3*v + v - 12 = p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 113376.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdd when three letters picked without replacement from {d: 6, r: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 11*s**2 + 23*s - 33. Determine g(9).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 0\/(-1 - 1). Let s = u + 3. Let r = -15 + 20. Solve g - r*o = 29, -2*g - g - 2*o + 2 = s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 15*y - 212. Let m(p) = 6*p**3 - 1. Let s be m(1). Suppose s*r + 22 = 97. What is the lowest common multiple of o(9) and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3601*i + 3596*i + 93 = 0, 2*i = -11*y + 69 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i**5\/7 - 16152*i**4\/7 + 53714*i**3\/7 - 66196*i**2\/7 + 35768*i\/7 - 7152\/7 = 0.\nAnswer: 2\/3, 1, 894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*m + 8, -5*d - 2 = -4*m - 11. Let r be d - 32*(-4)\/(-8). Let n(c) = -c**2 - 16*c + 19. What is the units digit of n(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 14. Let g(m) = -103*m + 948. Let r be g(9). Solve -b + h = r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5390866997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*n + 2*b, 0 = -4*n - b + 3*b + 38. Let a = 16 - n. Suppose 0 = -3*f + 4*f - i - a, 0 = 4*f - i - 35. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -0*b - 4*b. Let m = b - -11. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*j + 12 + 22 = 0, -5*z + 26 = -2*j. Suppose -u + z = 2*u. Suppose 8\/7*m**4 + 12\/7*m**3 + 2\/7*m + 2\/7*m**5 + 0 + 8\/7*m**u = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 4*d**2 + 6*d + 6. Let k be w(-5). Let x be (3 + -1)*k\/2. Is -1 + (1 - -5) + x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 11399184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 31, 57, 83, 109?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 - 2*a + 3. Suppose -5*l - 1 = -11. Let b(h) = 23*h**3 + 17*h**3 - 39*h**3 - h. Calculate l*b(x) - k(x).\nAnswer: -x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 2*h - 4. Let a be q(4). Let w = 0 + 0. Suppose 14 = 4*v - 2*i, -a*v + 4*i - 5 + 13 = w. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(6\/7))\/t**14)**(-22\/9)*((t\/(t\/((t*(t\/(t\/(t\/t**(-2\/7))))\/t)\/t)))**(4\/5))**(-27) assuming t is positive.\nAnswer: t**(884\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 8) in base 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 8:18 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 110*j + 111*j = 31, 0 = -5*k + 4*j - 36 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1690100 to the nearest 10000.\nAnswer: 1690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7dda01 (base 15) to base 12.\nAnswer: 2023884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20419 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 1061384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2133443140 - 3?\nAnswer: -2133443143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29885.\nAnswer: 5, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 31*m + 80. Let u be h(-28). Let w be (-2691)\/(-18) - u\/8. Calculate the highest common divisor of w and 375.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -792a + 1343?\nAnswer: -6597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13858 + 6297 = 304*y - 5610 - 379 for y.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.089 - -113.911. Let f = -38563009 - -38563123.0000059. Let i = f - h. What is i rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4348 or -4344?\nAnswer: -4344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*q + 13, q - 3*d + 5 = 2. Suppose -2*h - 2 + 11 = -q*s, -3*s = -5*h + 18. Let t be (-1)\/8 + (-85)\/(-40). Solve -h*g - 5 = t*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2110, -0.2, -3?\nAnswer: 2110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 37 (c) 9226 (d) -0.002\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(3 - 0)*11\/(-55).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {u: 1, l: 6, d: 2, i: 1, c: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**2 + 24*b + 30. Let f be j(18). Suppose 63*n = 66*n - f. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/15*(-270)\/(-54). What is f in 3\/5*f**5 - 3\/5*f**2 + 6\/5*f - 9\/5*f**g + 3\/5*f**4 + 0 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5. Suppose a - 1 = -k. List the prime factors of (-2 - 9)*a\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0691 and 3.109.\nAnswer: 3.1781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88)*1*4)\/(sqrt(16)*1))\/(-2*6*(sqrt(539)*-1 + sqrt(539) - sqrt(11))))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -144, -145?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 12 + 21 - 3 + 6 + s. Let o be w(4). Round o to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -7*c**5 + 270*c - 255. What is the derivative of u(b) wrt b?\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 13*q**2 + q + 7. Let b be w(-13). Let n be ((-87)\/18)\/(2 - 30\/18). Let o = -19 - n. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406 (base 8) to base 14\nAnswer: -14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s + 258 = -4*a, 3*s + 403 = -2*a. Let g be s\/70 + 2\/(-5). Let x = 20\/7 + g. Is -0.1 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048118344.8 rounded to the nearest ten thousand?\nAnswer: -1048120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 2:49 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g - 12*g + 0*g + 24*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -12 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -101001110010001 (base 2) to base 11\nAnswer: -15089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1. Let k(z) = z - 56. Let m(h) = -5*h + 306. Let i(w) = 11*k(w) + 2*m(w). Determine i(u) + 3*o(u).\nAnswer: u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 634535 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1259*2\/(-6) - 87\/261. Let q be (-4)\/(-30)*-1 - w\/(-3600). Let j = 0.1 + -0.1. Put 0.1, q, j in decreasing order.\nAnswer: 0.1, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-25 - -36 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyx when three letters picked without replacement from {x: 1, y: 6, v: 4, p: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 14) to base 12\nAnswer: -1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22 - 2)\/((-6)\/3840). Round v to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15991, -16406, -17531, -19720, -23327?\nAnswer: -28706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*sqrt(99) + 3 - (sqrt(99) - -1*((sqrt(99) - 1*sqrt(99)) + sqrt(99) - sqrt(99)))\/(sqrt(63)\/(sqrt(21)\/sqrt(3))).\nAnswer: -37*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + sqrt(171) + (sqrt(171) + 1 + sqrt(171))*-3 + 4 - -4*(-1 + (3*(sqrt(171) + 1) - sqrt(171))))**2*-1.\nAnswer: 90*sqrt(19) + 1564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t. Let f(l) = -l**3 - l**2 + 1. Let s(q) = -3*q**3 - 10*q**2 - q + 9. Let h(n) = -4*f(n) + s(n). Let w be h(6). What is p(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/((-210)\/(-100)) + 112\/(-2037)*(-9477)\/52?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rprap. Give prob of sequence prrp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -32131?\nAnswer: 32200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 30*o**2 - 323*o + 291. Determine p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 * -0.0255084.\nAnswer: 0.04336428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*m - 236 = 163*m. Calculate the remainder when m is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6892776 and 1253232?\nAnswer: 13785552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 10 - 4) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1264546930?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = q - 28, 507*q - 2*b = 507*q + 10 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -j - 12, j - 5*t = -16 - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b = -42*b + 103783. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 9*s + 20. Let g be b(6). Suppose g*h = 258 - 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 249.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -491.07 to 0 decimal places.\nAnswer: -491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -38*j - 9. Let n be z(-3). Suppose 0*i - n = -7*i. Suppose 0*q + 600 = 5*q. What is the greatest common divisor of i and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + p**3 - 4 + 3 + 5 + 3*p**2 - 5 - 10*p as v*p**2 + m*p**3 + c + g*p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9\/((u**22*u)\/u*u))\/(u**(-3\/8)*u*u**23) assuming u is positive.\nAnswer: u**(-301\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h - 87 - 12*h - 4*h + 2*h. What is the least common multiple of (36\/(-54))\/(2\/(-72)) and y(-12)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48856 by 788.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/5)*(v*v**(1\/2))\/v)**(-15)*(v**4\/(v\/(v**(-5\/6)\/v)))\/(v*v**(-1))**(-23\/4) assuming v is positive.\nAnswer: v**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 94, 138, 80, -122, -510, -1126?\n\"Answer: -7*y**3 - 9*y**2 + 120*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - (-17 + 24)) + 66?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1552 (base 8) to base 11\nAnswer: -725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 112*m - 20. Let x be q(10). Suppose 9*j + x = 5231. Is 51 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/15694 and -91\/13452?\nAnswer: 94164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((1716\/5148)\/(4\/(-66))).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74087*f + 0*f**3 - 74020*f - 2*f**3.\nAnswer: -2*f**3 + 67*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*u - 2112 = -4*f - 505*u, 120 = 5*f - 5*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 66 = x, 1756*x = 1754*x for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y - 39. Suppose -2*t - 8 = 3*v - 25, -2*v - 6 = 0. Let g be p(t). Factor -u + g - 5\/2*u**3 - 7\/2*u**2.\nAnswer: -u*(u + 1)*(5*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*w + 8022 - 951 + 7830 + 4659 = 0 for w.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9892 is divided by 1235.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2184\/322715 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 7 = -y - 4, -4*h = 2*y + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a hour in seconds?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*l - 3*r, -5*r + 10 = -13*l + 8*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**3 - 3333*b**2 - 3*b - 387620 with respect to b.\nAnswer: 12*b**2 - 6666*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.4623 to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c - 36*c = a + 4, 8*c = -4*a + 124 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000075 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 147, 280, 419, 564, 715?\n\"Answer: 3*y**2 + 124*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1602, 1602, 1592, 1566, 1518, 1442?\n\"Answer: -h**3 + h**2 + 4*h + 1598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 64?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33214\/353 or 93?\nAnswer: 33214\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3601*y + 89. What is the hundreds digit of d(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1132210120 (base 4) to base 6.\nAnswer: -12145144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34576 divided by -17288?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {p: 5, g: 11, o: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1710)\/12)\/((-1)\/2) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1622 times -0.7\nAnswer: -1135.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.32 in -0.18, -4\/5, 0, -5\/6, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 264 in -4\/9, 2, -3, 1\/3, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -855 + 4279\/5. What is the second biggest value in n, -1, 0.08, 0.5, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -28 (b) -4 (c) 2 (d) -1 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 43783?\nAnswer: -77\/43783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -13166*s**2 + 3*s + 13170*s**2 - 6 - s**3 + s. Determine l(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 3)*(1 - -3). Let k be -3 + (-17)\/p + -1. Factor 0*j + 0 - k*j**2.\nAnswer: -j**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52225)\/27157*8\/(-20)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168\/23 - -550\/69. What is the fourth biggest value in 4\/5, 2\/13, 8, n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**4 - 7 - 2*j**4 - 14 with respect to j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/5? (a) 0 (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4235354515 + -11?\nAnswer: 4235354504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 46\/3. Calculate the common denominator of h and -31\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*a + 3*a + 0*a in the form n + h*a and give h.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 745174*r**4 + 16*r**2 + 2 + 3*r - 745172*r**4 + 10*r**2 - 7*r**3 to the form d*r**2 + g + b*r**3 + o*r + z*r**4 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 976 - 955. Which is bigger: d or -23?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1686 + -1658. What is the remainder when 76 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g**2 - 3 - 5*g**2 + g**3 + 5. Let v be a(3). Solve -v*b = n - 3, n = 4*b - 0 - 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 472 by 4.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*p + 17 = -7, -2*j + 4*p + 20 = 0. Let x be ((-1080)\/64)\/(-15) - 1. Let f be (-16)\/(-56)*7\/(-3). What is the nearest to f in j, x, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a776 (base 13) in base 10?\nAnswer: -108933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 0 + 54\/116. Let g = a - -1\/29. Factor -g - 1\/2*m**4 + 1\/2*m - m**3 + 1\/2*m**5 + m**2.\nAnswer: (m - 1)**3*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5576*h**2 - 5576*h**2 + 350*h**3.\nAnswer: 350*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from bddbddddddd.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409, 404, 401, 400, 401, 404?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 343. Let n = d + -238. What is the remainder when n is divided by 40?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-615)\/615)\/((-2)\/(-8)*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r = 4*u + 8, 4*r + 5*u = 53. Suppose -r - 3 = a. What is the units digit of 44\/(-8)*(a - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 0*o + 1 - 2\/7*o**2 + 2\/21*o**3. Factor s(f).\nAnswer: 2*f*(f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 343 = 3*x, -196 - 142 = -3*x + 5*p. Let a(t) = 6*t**2 - 1. Let j be a(1). Suppose -j*l - 2*c = -2*l - 119, 3*l - x = -4*c. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418253284 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -19*i + 35. Calculate the smallest common multiple of 3 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q + 32. Let v(a) = -7*a - 4. Let o(f) = -24*f - 14. Let z(y) = -2*o(y) + 7*v(y). Calculate g(z(d)).\nAnswer: 5*d + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 2, t: 4}. Give prob of picking 2 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000193831 rounded to seven decimal places?\nAnswer: -0.0000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -2\/9, -824, 5?\nAnswer: -824","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, k: 2, j: 1, o: 1, q: 2, h: 8}. Give prob of picking 1 k, 1 q, and 2 h.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 34*n**2 - 54*n + 587. What is the remainder when 781 is divided by s(-32)?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244770.3 - 0.3?\nAnswer: -244770.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7938 less than or equal to -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21112.\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3527 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.85 + -7.41. Round o to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/13 + 50*y\/13 - 108\/13.\nAnswer: 2*(y - 2)*(y + 27)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150002334 - 5?\nAnswer: -150002343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199*-43.\nAnswer: 8557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -54. Let z be (46\/(-6) - g)*12000. What is z rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -23\/2 (b) 5 (c) -0.14 (d) -0.6 (e) 4 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(0\/(-4) + 67). Let r be c - (2\/7 + (-32)\/14). Let s = r - -68. Solve -2*i = -3*i + v - 1, -s*i = v + 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-900)\/(-165) - -2).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/98248 and 47\/135091.\nAnswer: 1080728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 140, 4, 2, 70, -73 in ascending order.\nAnswer: -73, -5, 2, 4, 6, 70, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3507*m**3 - 161*m**2 - 7*m + 12. Let c(t) = -1169*t**3 + 45*t**2 + 2*t - 4. Let y(w) = -7*c(w) - 2*g(w). What is the third derivative of y(a) wrt a?\nAnswer: 7014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 245 (b) -2\/9 (c) 0.4 (d) -2 (e) 626 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Express 30884 - 30888 + 15*u - 4*u**2 + 11*u**2 in the form l + c*u**2 + t*u and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4 = 4*t, 197*w - 18 = 193*w + t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101878 and 1330.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 + 350. Suppose 5*z + 95 = -r + 3*r, 3*z + o = 5*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 152*g - g**3 - g**2 + 20 + 338*g - 187*g - 12*g**4 to the form h*g + n*g**2 + m*g**3 + z + l*g**4 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100896, -201792, -302688?\nAnswer: -403584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48244.\nAnswer: 2, 7, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -16*k - 35. Let n(v) = 32*v + 70. Let p(o) = -9*g(o) - 4*n(o). Is p(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.5, -103, 397, 3\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/196)\/((-1929)\/(-1286))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -193418*s - 31 + s**3 + 193420*s + 0*s**3 + (2*s**3 + 4*s**2 - 4*s**2)*(1 - 4 + 1) to p*s + a + u*s**3 + g*s**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -0.5 (c) 20\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115351 is divided by 548?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -932*t + 126040 = -922*t. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 8*l + 22. Let g be u(-10). Solve m = g - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = 3*d. Solve 0 = -4*k - d*z + 8, 0*k - z + 14 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202 divided by -2\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 54*z - 3*z**3 - 44*z - 18 + 4*z**3 + 14*z**2. Let b = 18 - 31. List the prime factors of k(b).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 3. Let m = -49819\/12 + 16413\/4. Which is the third smallest value? (a) 2\/5 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811070672?\nAnswer: 2, 50691917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1694)*2)\/(1*sqrt(252)) + sqrt(22)\/sqrt(44) + sqrt(2) + sqrt(128)\/sqrt(4))*-3)**2.\nAnswer: 3025\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -77) + -53 + (2 - (1 + 4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7366906?\nAnswer: 2, 3683453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o. Suppose -24 = 15*y - 69. Let m(l) = -20*l + y*l + 6*l - 2*l**2 + l + 6*l. Determine m(f(q)).\nAnswer: -50*q**2 + 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30410333*w**2 + 13822581*w?\nAnswer: -60820666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 30. Is 16 - (0 - (-3)\/u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7266.\nAnswer: 2, 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 4\/7 (c) 8 (d) -5 (e) -1\/14 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -12*w**2 - 51*w - 98. What is q(-2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -602 + 1543?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p + 3*p + 140 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5be9c (base 15) in base 4?\nAnswer: -1013222223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + (1 - 9))*46\/(-322). What is the common denominator of (693\/66)\/((-30)\/m) and 127\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r. Suppose r = 5*n - 2*n. Solve -2*c + 3*c + 5 = n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -489569, -489568, -489567, -489566?\n\"Answer: a - 489570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/((-2376)\/(-126))*6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 217 + 233 = -2*h, 3*h + 3*w + 27 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1495469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4580*a + 3913. Let g(q) = -32087*q + 27391. Let r(v) = -41*d(v) + 6*g(v). Differentiate r(w) wrt w.\nAnswer: -4742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188.13206 + 307.13263. Let l = -0.277 + 119.277. Let p = l - m. What is p rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u = -30*u + 4*n + 10, 3*u - 4*n - 35 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h + 16. Calculate the remainder when l(4) is divided by 11\/110*(-290)\/4*-4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4 = 3*w, 2 = -4*a + 5*w. Suppose 5*i = -v - 21, -4*v - 3*i - 84 = a*i. Let f be v\/(-3) - 12\/4*1. Solve n + 4*c = 4, f*n = c - 5*c + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(3\/23)\/t)*t**(-20) assuming t is positive.\nAnswer: t**(-417\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -11*d**2 + 13*d + 23. Let j be z(2). Solve 0 = -j*f - 5*r + 25, 2 + 3 = f - r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + -1 + -64 + (-98 - -143).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, 1 in descending order.\nAnswer: 1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/l**(-5)*l)\/(l**(-1\/3)*l*l*l))**23 assuming l is positive.\nAnswer: l**(437\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -3*(-2)\/3. Let f = -7 + s. Which is bigger: f or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/7 or 0.4371?\nAnswer: 0.4371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77292 divided by -3?\nAnswer: -25764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smsmosooxsoxsssosoo. Give prob of sequence moxx.\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7081499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 835 by 5.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1884)\/3248 - (384\/(-21))\/32.\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -70, -211.23, 45?\nAnswer: -211.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110)*-1*2 + sqrt(110))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 6:32 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k + 24. What are the prime factors of k\/(-6 - -3) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpwdkpkkdkkkkkkk. Give prob of picking 1 d and 1 p.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2255\/(-41)*2\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.1 + 21.6. Let w be (-2 + 5)*30\/72. What is the third biggest value in q, w, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-30))\/((-4)\/10). Let q be (-1)\/g - (-11)\/2. Solve -q*n = 5*p + 35, 3*p = p - 5*n - 26 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxxw when four letters picked without replacement from {t: 3, x: 9, w: 2, j: 2, k: 2}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -13. Let z = 4.1 + b. Round z to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -7*u**2 + 0 + 1\/60*u**5 + 0*u + 0*u**4 + 25\/6*u**3. Let z(d) be the first derivative of d**3\/3 - 65. Calculate o(z(w)).\nAnswer: w**4 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 341813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*k - 22*k = -188 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 minus 1.29?\nAnswer: -43.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 668.13 - 662. Round t to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 5*k - 3*k)*(135*k**2 + 1151*k**2 + 324*k**2) to the form g + q*k**3 + h*k + s*k**2 and give q.\nAnswer: 3220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004847079 to seven decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 2*n - 6, -2*n + 22 = -5*m - 4*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -68*u**3 + 17*u**2 - 17*u - 17. Let y(v) = -23*v**3 + 6*v**2 - 6*v - 6. Give -6*g(z) + 17*y(z).\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 3. Suppose 10*g - c*g - 3*k = 0, 0 = -2*g - 3*k - 21. Put g, -2, 2 in descending order.\nAnswer: 2, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*j + j**2 + 35 + j**2 - 126*j as m*j**2 + x*j + a and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4244*b**2*z**3 + 14*b**2*z + 161*b*z**2 wrt z.\nAnswer: 25464*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/8 - 83677*q**3 + 56015726747*q**2\/4 - 84021330855*q + 1008246933225\/8.\nAnswer: (q - 334705)**2*(q - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21c2aa (base 13) to base 15.\nAnswer: -10b694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = 1298*z - 1307*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 140, 807, 2028, 3803, 6132?\n\"Answer: 277*f**2 - 164*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0284289 rounded to four decimal places?\nAnswer: -0.0284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -131, -295, -525?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 120*d**2 + 2. Let f(m) = m**2 - 1. Give f(p) + z(p).\nAnswer: 121*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 992 a factor of 284704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75986 is divided by 413?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**4\/4 + 4*d**3\/3 + 7*d**2\/2 + d - 11. Let i = -10 - -17. What is the remainder when f(5) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 49.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1808.8879794 + 1809.138. Let t = n + -0.25. Round t to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -892622 - 349776 = 16*y - 110*y. What are the prime factors of y?\nAnswer: 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552 + 127 = -25*c. What is the greatest common factor of c and 1853?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/6 - 21\/(-99))*-12.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-9)*(0 + 12\/(-8)). Is z less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4, -2, -0.153, -0.24, 0.6, -1\/14, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -16. Suppose 5 = -j*l + 29. 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: Calculate prob of sequence gg when two letters picked without replacement from {c: 2, g: 2, q: 3, h: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2, 4796 = -2*u - 7*j + 11*j. Let v = u + 19169\/8. Find the common denominator of 12\/80*74\/6 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4179318259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 198. Let b(z) = -z + 196. Let a(g) = 5*b(g) - 6*i(g). Let f be a(-42). Solve 3*l - 6 = 0, 0 = -f*o - 0*o + l + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 3:54 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 15. Let k(r) = 16*r + 19. Let j(p) = -k(p) - 2*q(p). Let c(s) = s. Give c(j(o)).\nAnswer: -18*o + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (-47)\/(-3) - (-4)\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (254 - (37 - -255)) + (-4 - 0)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277526?\nAnswer: 2, 138763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3779195.\nAnswer: 5, 7, 19, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**3 + 4*r**2 + 2*r - 2. Let k be y(-1). Suppose -p = -k*v + 17, -3*p + 0*v + 21 = 3*v. Solve -4*w = p + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/636881 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*t**2 + 240726*t - 80241.\nAnswer: -3*(t - 26747)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2 (c) 1\/363 (d) 303.66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -40668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(2 - 3 - 3)*(0*q + 4*q - 3*q + (2 + 0 - 4)*(q + 0*q - 3*q))*(19*q**2 + 14*q**2 - 13*q**2).\nAnswer: 400*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 9:45 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*l + o - 5, 2*o = -3*l - 4. Let g(h) = -6*h**2 - l*h**2 - 2*h**2 + h**2. Let a(c) = 5*c**2. Let p = -13 - -19. Give p*g(u) + 11*a(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 84 = -4*u. Let v(h) = -h + 10. Let k be v(7). Calculate the greatest common factor of u and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(539) + 0)*3)**2 + sqrt(539) + -4*((0 + sqrt(539))**2 + sqrt(539)) + (-4*sqrt(539)*-2 + sqrt(539) + sqrt(539))**2 + -3.\nAnswer: -21*sqrt(11) + 71145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 8. Let p be u(4). Let z be 3356\/14 - p\/14. Is 23 a factor of (-3)\/(471\/z - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 3*z**2 + 2*z + 3. Suppose -2*y - 2*y + 9*y = 0. Let u be 3\/((-11)\/4 - (-2 - y)). What is c(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32931*m**2 - 34348.\nAnswer: 65862*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 29. Let u be i(-9). Let o be (-32)\/6*45\/u. Let j be 3\/(-9) - 39596\/o. Round j to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 433083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -6*h + 11*h. Suppose -3*w + h = -w + q, -4*w - 25 = -5*q. What are the prime factors of 102 - (w*(-3)\/(-9) + -3)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 + -40. Suppose 5*c + 0*c - 4*j = q, 5*j = -4*c - 5. Calculate the remainder when 9 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52, 153, 326, 571, 888?\n\"Answer: 36*g**2 - 7*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 19*j**6\/360 + 116*j**3\/3 + 3*j - 30. Let d(m) be the second derivative of s(m). Let n(k) = -5*k**2. What is d(n(z))?\nAnswer: 475*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -72 (b) -5 (c) 33 (d) -2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -527 divided by 433\nAnswer: -527\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.61109 years to months.\nAnswer: 931.33308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 0*u - 1\/2*u**4 + 4*u**3 + 0*u**2 + 75. Determine c, given that j(c) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1079 = -0*w - w, 3*z - 822 = -5*w. Suppose p + 807 = 3*d, 4*p = 3*d - 4*d + z. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3022 to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1588.10025398 - 1588.1. What is a rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.34 - -0.71. Let a = 0.95 - g. What is the closest to 0 in 1, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31775368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*j**2 - 3955*j**3 - 511*j**2 + 115*j**2 - 279*j**2 + 3954*j**3.\nAnswer: -j**3 - 850*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2530555?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4611*v**2 + 319*v. Let z(y) = 29*y**2 - 2*y. Let h be 315 - (3 - (-7 + 14)). Give h*z(a) + 2*t(a).\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 131\/1572*3800\/75?\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.010858*-7.3\nAnswer: 0.0792634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/9 + 3208*q**2\/9 + 1292800*q\/9 + 5120000\/9 = 0. What is q?\nAnswer: -800, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 6:05 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwv when three letters picked without replacement from huqvllwq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c = 580. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*m + 7 - 7 + (1 + 1 - 3)*(-2 - 2*m + 2) + 5*m - m - 2*m - 2*m + 0*m + 12*m + 2*m + 5*m - 6*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -9 + 18 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 15*a + 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.192 - -28.\nAnswer: 27.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1413 - 0.2587. What is the third smallest value in 2\/23, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 4, -3, 349 in descending order.\nAnswer: 349, 7, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 9 + (-6 - -1) - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1078542662*u - 260648409.\nAnswer: 1078542662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37, -100, -197, -322, -469, -632, -805, -982?\n\"Answer: l**3 - 23*l**2 - l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76381 or 76379?\nAnswer: 76381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + 1*sqrt(77)*6 + (sqrt(77) - -2*-2*sqrt(77)))\/(((2*sqrt(264) + sqrt(264))\/sqrt(12))\/sqrt(2)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -15 in increasing order.\nAnswer: -15, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 - 261*i + 79. Let x(y) = -2*y**2 + 130*y - 39. Let a(s) = 2*k(s) + 5*x(s). Calculate the remainder when a(31) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 13)\/(((-6)\/44)\/(-1)). Calculate the greatest common divisor of j and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, y: 3}. Give prob of picking 2 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b**2 + 0*b + (-b + 0 + 0)*(2*b + b - b))*(4*b**2 + 8*b**2 + 3*b**2) - 32*b + 32*b - 12*b**4.\nAnswer: -27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/4 + 243\/12?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + ((-4)\/16)\/(6\/(-72))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -504 - -740. What is the derivative of 235*q**2 + 11 - 12 - 56 - u*q**2 wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*d - 1372, -4*d + 654 + 716 = 3*s. Suppose g = -u - 48 + 118, 2*g - d = -5*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4))**(-9))**(-3\/29) assuming p is positive.\nAnswer: p**(-27\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.1601mm?\nAnswer: 0.0000061601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 425722 (b) -0.4 (c) 2 (d) -8\/7 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.2. Let w = -2569\/43 - -173659\/3096. Let j = w + 31\/8. Which is the nearest to j? (a) -1 (b) -2\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n - 13*n + 2 + 5 - 4*n - 4 in the form b + x*n and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000810833 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 + 12*q + 109. What is the hundreds digit of m(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -471802.13582 - -471806. Let l = f + -3.833. Round l to 3 decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437999 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -392, 3, -4, 5, 1, -3 in decreasing order.\nAnswer: 5, 3, 1, -3, -4, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2126182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 10) + (-3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 - -86. Let z = 57 - b. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.33 + -0.59. Let x = i - 0.08. Sort x, -1\/3, -0.3 in increasing order.\nAnswer: x, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 3, 1 in ascending order.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -126 + 78. Suppose -n*u + 7*u + 151 = 4*c, 5*u - 92 = -3*c. Calculate the highest common factor of 624 and c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 1. Let q be r(6). Let a = -470 + 463. Sort q, a, 3, -4.\nAnswer: a, q, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8034 + 24107 - 1691*o**2 - 8034 - 8039.\nAnswer: -1691*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1465920454.\nAnswer: 2, 97, 7556291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*o + 10406, 6*o - 2*u = o + 17336. Let i = 55575\/16 - o. Find the common denominator of i and -77\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/3 - -3. Let r(s) = -s**3 + 9*s**2 + s - 7. Let w be r(9). Let h be 3\/(-63) + w\/6. Which is bigger: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10*f**2 - 25*f - 12. Give m(8).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjvf when four letters picked without replacement from ifvjvijvwkikkwk?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.5639 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*z = -80*z + 1. Sort 4, 0, z, 3 in decreasing order.\nAnswer: 4, 3, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d**(1\/4)*d)\/d))**(2\/23)\/(d**(2\/3))**(3\/5))**(-27) assuming d is positive.\nAnswer: d**(2619\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {o: 1, w: 3, e: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3147879 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 + 2713323?\nAnswer: 2713360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*g**2*n + 3*g**2 - 4*g*n - 28*n + 344 wrt g?\nAnswer: -72*g*n + 6*g - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -37*n - 3. Let j be g(1). Let r = 40 + j. Suppose r = -3*a + 18 + 45. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*n - 26. Let i be 0\/2 - n\/1. Solve 2*u + 5*d = i - 16, 5*d + 20 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15\/12)\/((-150)\/(-120))*30491.\nAnswer: 30491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -14)*2\/4. Suppose 4*o + 19*o + 54 = 50*o. Solve o*g + c = 9*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k - 50 = 0. Calculate the smallest common multiple of (-32)\/(-14) + k\/(-35) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -0.5. Let f = -34 - -35. What is the nearest to 0.2 in x, f, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 9*a**2 - 5*a**2 + a to c + x*a**2 + z*a and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - w + 3)*(1051 - 791 - 864) to n + d*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/5? (a) 0.1 (b) 2\/9 (c) -0.236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538.888858 rounded to 0 dps?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 595 and 765?\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50205277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooo. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 3:48 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 8 = 3*b - s, 2*s = -3*b + 28. Calculate the least common multiple of b and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-611)\/18330*6*1. Which is the nearest to -5\/4? (a) w (b) 2 (c) -4 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*t + 12 - 67 = 0, 142 = 5*k + 3*t. Let z(c) = 29 - k - c. Let r(m) = -23*m**2. Determine r(z(v)).\nAnswer: -23*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/11 + 72*a\/11 - 576\/11 = 0. What is a?\nAnswer: 12, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 41*g**2 + 330*g + 977. Determine t(28).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 531.1 + -546.2. Which is the third smallest value? (a) -1\/6 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + (477 + -447 - (30 - 2)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 1 = -12 - 15 + 43 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 12*m + 27.\nAnswer: (m + 3)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5)\/((-1)\/18)*-210*(-178)\/123354?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - 34*m + 66 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1023)\/(-17391) - 395\/68?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22, 11, -8, -35, -70, -113, -164?\n\"Answer: -4*b**2 + b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -7.2. Let t = -4.8 - 0.2. Which is the second smallest value? (a) x (b) t (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233211 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -588.8951 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -6*x - 2*s + 42, x - 27 = -3*s. Let o be (2\/3)\/(4\/x). Let r = 2 - 2. Solve o*h - 12 = 3*w, r = -0*h - h - 3*w + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + j - j)*(0 - 1 + 0)*(-j**4 + 2*j**3 - 2*j**3 + (2 - 1 - 2)*(-2*j**4 + 0 + 0)) - 2*j**5 + j**5 + 0*j**5 + (-3*j - 2*j + 3*j)*(-j**2 + j**4 + j**2).\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -10223023210330?\nAnswer: -10223023211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/12)\/v)\/v*v)\/(v**(1\/3)*v))\/(v\/v**(-2\/23)*v**(1\/6)) assuming v is positive.\nAnswer: v**(-1013\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 282845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-1)\/((-1)\/1)). Let n(q) = q**3 - q**2 + q + 115. What is the units digit of n(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 8*n = -16, -5*q + 2*n - 10290 + 10266 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 86. Give n(-8).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4563 - 0.8?\nAnswer: -4563.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 (base 9) in base 3?\nAnswer: -21012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 0*b**3 - 3*b**3 - b**2 + 10*b**3.\nAnswer: 7*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(7) - sqrt(567)))*-3.\nAnswer: 15 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 3*p + 23, 43 = 23229*u - 23234*u - 3*p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvpk when four letters picked without replacement from {v: 1, q: 4, p: 2, k: 8}.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 48. Suppose 2*k - 8 = 0, b = -4*r + 5*r - k. Let q(f) = f**3 + 2*f**2 + 4*f - 4. Let s(g) = 2*g**3 + 4*g**2 + 9*g - 9. Determine r*q(u) - 4*s(u).\nAnswer: u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29272 + 29268 - 22*y**3 + 45*y**3 - 58540.\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 3:02 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 26669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 11*x + 0*x**2 - 9*x**2 + 13*x in the form a + f*x + b*x**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -265 in -3, -4, 0, 0.7, 67?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v + 3*v)*(-6*v + 3*v + 2*v)*((-3 + 3 - 2)*(v**2 - v**2 - 2*v**3) + v**3 - 2*v**3 - v**3).\nAnswer: -8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23205 + -23208. Let b = -3 - -2.86. What is the second biggest value in t, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 4:50 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39423791 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33 - c314?\nAnswer: -c347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/65*(1 - -4). Solve 0 = 3*c - 2*m - 2 + v, 0 = 5*m - 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 7038473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 25*r - 13. Let i(s) = -20 - 4*s - 15 + 56 - 19. Let n be ((-42)\/(-70))\/(2\/20). Give n*c(z) + 39*i(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(75) + sqrt(75) + 1 + 3 - (1 + sqrt(75) + 0 + 4))**2 + 1)*-2.\nAnswer: -170 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1675 divided by 6\nAnswer: -1675\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 30*x + 256. Determine w(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7599697.\nAnswer: 7, 17, 63863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -188, -134, -82, -32, 16, 62?\n\"Answer: -v**2 + 57*v - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4343795?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**3\/6 + h. Let y = 6 + -4. Let l(g) = g + 0*g - y*g. Determine v(l(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/213 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/15*(-6)\/(-4). Suppose -26 = -2*r + n*o, -2*r + 2 = -0*r + o. Suppose 4*g = 10 + 6. Calculate the remainder when g is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.6 - 34.4. What is the smallest value in 4, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaasrsaataa. Give prob of sequence tr.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10031 + -2000?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51942, -51924, -51888, -51828, -51738, -51612?\n\"Answer: u**3 + 3*u**2 + 2*u - 51948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24496302 is divided by 12248124?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/2 - 3857\/(-266)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((-162)\/163944*22).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-161) - (-436372)\/(-19757).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23363*c**3*g**4 - 5330303*c**3 + 85*g**2 wrt g?\nAnswer: -93452*c**3*g**3 + 170*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**5\/7 - 621*a**4\/7 - 23460*a**3\/7 - 40228*a**2 - 474240*a\/7 = 0.\nAnswer: -65, -38, -96\/5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 0)*4*-6.\nAnswer: -240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c. Let d = -39 - -28. Let h = 16 + d. Let t(y) = y + 2*y - h*y. What is t(a(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*w - 45 = 0. Suppose w*l - 2260 = -20. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -30843765946270?\nAnswer: 30843765946274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 9:29 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 130974102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -11 + 9*b + 12 - b**2 + 4*b. Let w be s(12). What is the highest common divisor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-4)*16*6\/(-60). Let q = 2.06 - 2. Which is the smallest value? (a) -2 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g + 0 + g + 0. Suppose 2*v - 5*p = -0*v + 119, 5*p = -v + 82. Let z(r) = -32*r**2 + v*r**2 - 33*r**2. Calculate z(u(h)).\nAnswer: 50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*j - 3, 5*h + 11 = 2*j + 2*j. Suppose 0 = -k + 3, 6*t - 2*t - 4*k = 28. Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13305?\nAnswer: 3, 5, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 + 5*l**2 - l - 12*l**2 + l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -598 - 10a?\nAnswer: -6a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/6)\/(p\/(p**(-5)*p)*p))\/(p**1)**(-25\/4) assuming p is positive.\nAnswer: p**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6785*z**3 - 3292*z**3 + 3 - 2 - 2 - 3515*z**3 + 1.\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 + 2*q**3 - 4*q**3 + 4*q**3 - 4*q**3 - q**3 + (-q - 6*q + 5*q)*(4*q - 4*q - q**2) - 5 + 5 + 5*q**3)*(17 - 19*q + 10*q + 3*q).\nAnswer: -48*q**4 + 136*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-12960)\/225)\/(-32))\/(6\/(-10)). Let q(k) = 4*k**3 + k**2 - 2*k - 2. Let y(s) = -7*s**3 - 2*s**2 + 5*s + 4. Let w(h) = 5*q(h) + 3*y(h). What is w(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1683846 and 2919474.\nAnswer: 12114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(3 + 1 - 6)*(-2*r - 3*r + 3*r).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 60*q + 490. What is o(50)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -376, -885, -2346, -5239, -10044, -17241, -27310, -40731?\n\"Answer: -80*s**3 + 4*s**2 + 39*s - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3 + 370*h**2 - 4283*h - 4654 = 0. What is h?\nAnswer: -1, 13, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -17*r**2. Let q(v) = 5*v. Calculate w(q(z)).\nAnswer: -425*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 8*b - 21. Suppose 4*f - 5 = -5*w, -3*f + w = -0*f - 18. Solve 0 = 4*o - h + b, -h + 4 = -f*o + 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, 1 m, and 1 t when four letters picked without replacement from ssnsnsmsntsmsm.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7283 - 6101. Solve 0 = -o*f + 1181*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 103, 753, 2015, 3889, 6375, 9473, 13183?\n\"Answer: 306*o**2 - 268*o + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 477 - 478. Let p = -47\/123 + 2\/41. Which is bigger: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70178 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 0*h**3 - 3\/10*h**5 + 0*h**4 - 13\/120*h**6 + 0*h + 0 + 20*h**2. What is the third derivative of l(z) wrt z?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212 + -180. Suppose -u + 4*r + f = 0, 0 = 2*u - 0*u + 2*r - 14. Solve 16*g = u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 3*o + 2*r, -3*o + 30 = -r - 58. Suppose q + 2 = -3*z + 1, 5*z + 3 = -2*q. Put q, -2, o in decreasing order.\nAnswer: o, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11546, 11649, 11752?\n\"Answer: 103*n + 11443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-8))\/((-3)\/(8 - -4)). Let u(n) be the second derivative of -7\/32*n**4 - v*n**3 - 3\/160*n**5 + 3*n**2 + 0 - 11*n. Factor u(q).\nAnswer: -3*(q - 1)*(q + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1026384.\nAnswer: 1\/513192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:36 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11721 is divided by 206.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**5\/4 + f**4\/4 - 69*f**3\/2 + 459*f**2\/2 - 2295*f\/4 + 2025\/4 = 0?\nAnswer: -15, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = 0, 2*l - 4*u + 16 = 44. What is the greatest common factor of 170 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 5:42 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 80*g. Let z(k) = 10949066*k - 1. Determine z(t(j)).\nAnswer: 875925280*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240479, -240524, -240607, -240734, -240911, -241144, -241439?\nAnswer: -241802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, r: 4, o: 7}. Give prob of picking 1 o, 1 r, and 1 k.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 247745121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 10:03 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**2 + 17*y - 2. Let r be h(-4). Solve 2*w + 9 = 5*m, -3*m + 4*m + 2*w = r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 361*n**6\/6 + 122*n**3\/3 - 3*n + 425. Find the third derivative of m(l) wrt l.\nAnswer: 21660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3683*v - 3 + 3 + 1536*v + 1523*v.\nAnswer: -624*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73732498 divided by 22771.\nAnswer: 3238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*w + 2 = 8, 4*j = 3*w + 29. Suppose -4*o + d + 16 = 0, j = -o - 0*d - 2*d. Solve 7*u - o*i - 15 = 4*u, 3*u = -i - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 11*l**2 + 89*l - 76. Give h(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 7:07 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 + 2 - 2*s**2 + 0*s**2 - 2*s**4 + 7*s to the form l + u*s**2 + b*s**4 + a*s + d*s**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 7 = 7*f. Let b = -0.3 - 1.7. Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(sqrt(133)*-1*4 - sqrt(133))*2)\/((4*(sqrt(315) + sqrt(35)))\/(sqrt(10)\/(sqrt(6)\/sqrt(3)))).\nAnswer: 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 w when three letters picked without replacement from {k: 2, w: 2, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 0\/(0 + 2). Let o(g) be the third derivative of -g**5\/60 - g**2. Let q(x) = 4*x**2 + 0 - 2 - 637*x - x**3 + 637*x. What is d*q(z) + 4*o(z)?\nAnswer: -z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b**3 - 537785*b**2 - 691390*b - 153640 = 0. What is b?\nAnswer: -15364, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8639?\nAnswer: 53, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2220.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 13*a - 1, -4*a - 68 = -4*s. Suppose 382 + 18 = -s*i. Which is greater: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j - 2*z, -4*z + 8 = 2*j - 2. Suppose -5 = 2*o + j. Which is the second biggest value? (a) 5 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 598\/(-46) + ((-92)\/(-10) - -3).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 15*m**2 + 5*m**2 + 2 - 8*m**2 - m - 1 - 6*m**2. Suppose -5*x + 6 = 1. Calculate g(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 226206378*s + 129237493?\nAnswer: 226206378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -396 + 395.81. Round c to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -170?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(0*b**2 + 0*b**2 - 2*b**5) + 41*b**5 + 0*b**3 + 81*b**3 - 44*b**5.\nAnswer: -7*b**5 + 81*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 + 17*p**3 - 5*p**4 - 16*p**3 - 22*p**4 + 0*p**4 + p**4 in the form i + q*p**4 + x*p + d*p**2 + b*p**3 and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 10:42 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.665267 millennia to centuries.\nAnswer: 36.65267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4 + 40*t**3 + 206*t**2 - 1660*t + 2208 = 0. What is t?\nAnswer: -8, 2, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 m when three letters picked without replacement from mgyffyfgggyfggggmg?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 23. Find the first derivative of -10 + 12*a**4 - 5 + w - 3*a**4 wrt a.\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*p = 20, 0 = -3*p + 6*p + 9. Let d be 3 + x + 0\/1. Let o(r) = 5*r - 35. Let n be o(d). Solve -4*s = s + n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 384.232?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/21, -0.1, -3 in ascending order.\nAnswer: -3, -0.1, 10\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - 290082\/9360 - -64.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 41 = -40. Let p = 890\/11 + w. Sort -0.4, -2, p in increasing order.\nAnswer: -2, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 939.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*j = -4, -5*a + 9 - 6 = 2*j. Suppose -5*q - 19 = 51. Let p be (-90)\/q + 56\/98. Sort -3, a, p.\nAnswer: -3, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9286, 9279, 9260, 9223, 9162, 9071, 8944, 8775?\n\"Answer: -p**3 + 9287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 11. Let d be 13\/65 + 52\/(-10). Let i(g) = -g - 6. What is d*i(o) + 3*m(o)?\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 13 = 3*u, 14 = 3*u + 5*f - 0. Let v(w) = w**2 - w + 7. What is v(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 9 = 1, 2*k = 4*y + 88. Suppose -3*h - k = 18. Which is smaller: -22 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1589903*f**2 - 3*f + 12981011.\nAnswer: 3179806*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7670001 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -238999794 divided by 141\nAnswer: -1695034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-5)\/c)\/(c*c\/c**(-2\/5)))\/(c**(-2)\/((c*c**(2\/3))\/c)))\/((c**(3\/5)*c*(c*c*c\/(c**4\/c)*c)\/c)\/(c\/c**1)**(-2\/37)) assuming c is positive.\nAnswer: c**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82798975 or -82798977?\nAnswer: -82798975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {i: 4, w: 7, j: 2}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -127*g + 102. List the prime factors of v(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 10:35 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*w - 1337 - 302, 2*u = 4*w - 658. Is (16\/4 - u)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (277*s**3 + s - 2*s + s + 154*s**3)*(123 - 123 + 9*s**2).\nAnswer: 3879*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -4*w - 28, 40 = 5*w + 5*h + 35 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18581 = -647*i + 1740*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 40 = -4*n. Suppose -n*g + 5 = -3*y, -y + 21 = 4*g - 0*y. Calculate the common denominator of 7\/(g*-3*2\/(-4)) and -33\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -5, -3.\nAnswer: -71, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*j**3*x - 1057*j**3 - 51*j**2*x + 3*j**2 - 613386*j*x + 106*j wrt j?\nAnswer: -438*j*x - 6342*j - 102*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15590617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925156.\nAnswer: 2, 231289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {d: 1, y: 5, o: 1, n: 3, l: 1, e: 1}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 989264 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40550 - 19770 = 1885*g for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 10*b - 68. Does 11 divide a(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x + 3*x + 8924 - 4462 - 4467. Give y(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 15*g**2 - 19*g + 37. What is n(11)?\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 36?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3\/a*a)\/a**(3\/10))**(2\/3) assuming a is positive.\nAnswer: a**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5 = -3*g - s, 3*g - 1 = -s. Let c(b) be the first derivative of 0*b + 1 + 1\/12*b**3 + 1\/8*b**g. Factor c(x).\nAnswer: x*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3911.635cm to kilometers.\nAnswer: 0.03911635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**5 + 4656*w**4 - 326091*w**3 - 2997654*w**2 + 6954972*w - 3635880 = 0.\nAnswer: -10, 1, 82, 1478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 0*t**2 + 0 + 164*t - 10\/3*t**6 - 65\/6*t**4 + 0*t**3 + 0*t**5. What is the third derivative of f(z) wrt z?\nAnswer: -2400*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.56946 decades to centuries.\nAnswer: 2.856946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 222138 and 26019?\nAnswer: 91742994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26674*v + 11*v**2 - 4871*v - 4874*v + 36419*v.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -36. Suppose -z*o + 11 = x, -2*x + 2*o = -3*x + 7. Let u(f) = 28*f**2 - 17*f - 2. List the prime factors of u(x).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - q**2. Let a = 9290 - 9287. Let c(m) be the first derivative of -3\/2*m**4 - 7\/3*m**a - m**2 + 0*m - 9. Give -c(r) + 5*d(r).\nAnswer: r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.021+-0.2\nAnswer: -0.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - 10*r - 5. Calculate x(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3931, -3921, -3907, -3889, -3867, -3841, -3811?\n\"Answer: 2*z**2 + 4*z - 3937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, d: 1, q: 2, v: 4, n: 1, i: 2}. Give prob of sequence sind.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 11*j**3 - 17*j**2 - 9*j - 4. Let n(g) = 3*g**3 - 4*g**2 - 2*g - 1. Determine -9*n(o) + 2*t(o).\nAnswer: -5*o**3 + 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, 7546, -37 in descending order.\nAnswer: 7546, 9, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30531 is divided by 7566?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-13\/5)*o*o*o\/o**(-1\/7)*(o*o\/(o*o**(3\/2)\/o))\/o**(-5\/4) assuming o is positive.\nAnswer: o**(461\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95090065.\nAnswer: 5, 7, 113, 24043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15492328 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -3. Let d be (-4)\/(-14) + 4\/(-14). Let z = 195 + -192. Solve m*w + d = -z*v - 13, -5*v - 15 = 5*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -52. Suppose -6*t + v = -96. Let f(q) = -q**3 + 17*q**2 - 16*q + 24. What is the remainder when 47 is divided by f(t)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 - (8 + 3 - 8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 10. Let i be 116\/16 + (-1)\/4. Let y be z(i). Suppose 0 = -5*g + 17 + y. Solve p + h = 8, 4*p + g*h = 2*p + 26 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*w + 6*w - 64, -5*s = -3*w - 48. Let d = s + -11. Let p(c) = 1253*c + 2. Is p(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.08 + -1.0812. What is y rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u + 2. Let v be s(0). Suppose -1 = -v*o + 61. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149 - 148.7. Let o = -67\/4 + 343\/20. Which is the closest to o? (a) f (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 38 = -5*f, -f + 1 + 11 = -3*b. Solve -16 = -2*g - f*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 360. Let x be 88\/f + 2\/(-9). Suppose 0 = -0*o + o - x. Sort 0, 4, o in increasing order.\nAnswer: 0, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 669*x - 19. Let p(u) = -116*u. Let z(v) = 6*p(v) + t(v). Determine z(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/47)*a*a*a**(4\/3)\/a assuming a is positive.\nAnswer: a**(335\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**6\/120 - g**4\/8 + g**3\/3 - 14*g**2. Let u(f) = 2*f**3 - f**2 - 10*f + 6. Let k(a) = -7*r(a) + 2*u(a). Give k(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8 - -671 - (-2 - -6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 179363? (a) -24 (b) 0.2 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40570 (base 10) to base 12.\nAnswer: 1b58a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 4*j + 8944000 = 0. Round j to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 + 3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -23*b**3 - 15*b - 22*b**3 + 190*b**2 + 10*b - 35*b = 0?\nAnswer: 0, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 6174.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/459702 and -43\/45.\nAnswer: 2298510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-19 + (15 - 7) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*m + m**3 + 5*m**4 + 20*m - 5*m**4 + 4*m**2 + 1 + m**4 to v*m + y*m**3 + u + s*m**4 + z*m**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5 + 133 = 2*v, 0 = -2*y + v + 143. What is j in y - 27*j**5 - 240*j - 210*j**4 + 344*j**2 + 27 - 1064*j**2 - 600*j**3 = 0?\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2766661?\nAnswer: 2766661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**7\/2520 - h**6\/80 + 17*h**5\/120 + 7*h**4\/6 - 13*h. Let g(d) be the third derivative of l(d). Does 3 divide g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4809525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -19325115*v**2 + 7730041*v + 2 = 0.\nAnswer: -1\/3865023, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9211960 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 6 - 2) + 9 + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 12*f**2 + 28*f + 22. Calculate c(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 35*k - 72. Let n be u(2). What is the closest to -0.24 in 0.3, n, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(((j\/(j*j\/j**(-3\/13)))\/j)\/j*j)*j**(-3))**(-3) assuming j is positive.\nAnswer: j**(-48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -1)*91\/26. What is the second derivative of -v*r - 3*r + r + 15*r**3 - r wrt r?\nAnswer: 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.95 + -0.05. Let l = 111\/7 + -548\/35. What is the smallest value in -1, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 8*g + 2. Let y be p(8). Suppose 0 = -y*f + 3 + 3. Suppose 0 = f*a - 21 - 9. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.02, -40, 2\/179, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 10 + 6. Suppose -v = -2*v + m. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = 2*d, d + 2 - 3 = j. Solve m - 15 = d*m + 5*z, z = -5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230243.\nAnswer: 13, 89, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -21\/5 (c) 5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 smaller than 1553\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - 7. Let u = -66 + 36. Calculate the common denominator of u and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - c. Suppose 4*x = 3 + 29. Let y(v) be the first derivative of -5\/2*v**4 + 0*v**3 + 0*v - 5*v**2 - 2. What is x*d(b) - y(b)?\nAnswer: 2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 308 + 651 = 0. Let m = r + -73. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*s - 12 = 0, s - 4*s = -6. Let p = o - -6. Suppose 5*b - 3*a = 17, -3 + 11 = 3*b - p*a. Let n(w) = w**3 - 3*w**2 - 6*w + 4. Give n(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 11. Let l = 13160 + -13153. What is the third smallest value in 2, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*g - 9612 = -179*g - 2*t, -2*g + 19233 = -5*t. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35744552 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48245*g**4 - 163*g**3 - 108659997*g**2 wrt g?\nAnswer: 1157880*g - 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21370343 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 52*j**2 + 233*j - 102. Let a be s(-47). Let h(f) = 2*f**3 + 17*f**2 + 12*f + 33. Determine h(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.33 (b) 45 (c) 0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 8. Let j be s(-4). Let w = j + -16. Suppose 3*q - 4*c + 19 = 188, w = -5*c - 20. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -13*s**2 - 2*s - 2. Let x be c(-1). Suppose 3*d + v = 4*v - 15, 3*d + 5*v - 9 = 0. Sort d, x, -1.\nAnswer: x, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31552, -31685, -31808, -31915, -32000?\nAnswer: -32057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frhh. What is prob of picking 2 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 65\/(-117)*(-2)\/(-5). Sort -2, y, 31 in descending order.\nAnswer: 31, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*n - 6 = -0*n, h + 2*n - 6 = 0. Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120367313.\nAnswer: 11, 29, 377327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*y - 6, 5*y + u + 9 = 30. Suppose 0 = -3*l + 8*l - 10, -14 = -y*j + l. Suppose j*i - 28 = 4. Solve 3*k = -k - i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -8 + 3 - (1 + -1). Let n(g) = -8*g**3 + 5*g + 5. Let v(p) = 4*p**3 - 2*p - 2. Calculate h*n(l) - 5*v(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by -80.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7121165 by 1424233.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 2:29 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -42031 (base 8) in base 7?\nAnswer: -101553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 677*y. Let x(i) = 2*i + 6. Let r(g) = -26*g - 84. Let d(k) = 2*r(k) + 28*x(k). Determine d(u(a)).\nAnswer: 2708*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Suppose -2*r = r - c - 2, 0 = -3*c + 12. Solve r*o + q*o = 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d**3 - 10*d**2 + 2*d + 4. Let w(s) = -16*s**3 + 20*s**2 - 5*s - 9. Determine -5*g(c) - 2*w(c).\nAnswer: -3*c**3 + 10*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**3 + 63*w**2 + 33*w - 40. What is g(-15)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.3. Let o = -0.2 - f. Let z be (9\/(-4))\/3*-4. Which is the third biggest value? (a) -2\/11 (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*t + 10900 = 0, -44*n + 39*n + 27180 = -4*t. Is 68 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.3 - 6. Let m = 557 + -1111\/2. What is the second smallest value in 0, h, -19, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 0*s - s - 4*s + 3*s + 2*s + (-2 + 6 - 2)*(0 + s + 0) + s + 0*s - 2*s + 0*s + 4*s - 3*s - s + 2*s + s + 1 + s - 1 + 1 - 6 + 22*s - 21*s.\nAnswer: 6*s - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351457213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2223?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02317 and -234.6.\nAnswer: -234.62317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-30))\/(2\/(-36)). Let u = 16 - d. Let s = 12 + u. Solve -4*w + 3*v + s = 4*v, -2*w = -4*v - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u = 21*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tehe when four letters picked without replacement from {h: 5, e: 2, t: 6}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -50*i - 3 - 7 + 14*i. Let g(n) = -9*n - 131 + 2*n + 44 + 43 + 42. What is 16*g(s) - 3*r(s)?\nAnswer: -4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 241 + 127. Let r be 5\/(2065\/(-118))*-56. Calculate the highest common factor of f and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 - 60. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 13*x**2 + 24*x - 2. What is the units digit of a(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/35)*m)\/m)\/m**(-6))**(-2)*(m*m**4*m**(3\/8))**(20\/7) assuming m is positive.\nAnswer: m**(243\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 2 - 26*q + 0*q in the form f + b*q and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 32 = -5*c. Find the second derivative of -14*t**4 - 4*t + 6*t + c*t + 2*t**4 wrt t.\nAnswer: -144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + 0 + -7 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*k = -5*k, -269*h + 42 - 136 = -92*h - 83*h - 90*h - 53*k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74 + -7)*927\/20703.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 907.1 and 804.4233.\nAnswer: 1711.5233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1495 and 1035.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 1413*t**7\/35 - t**5\/20 - 11*t**4\/12 + t**3\/6 - 6195*t**2. What is the third derivative of s(v) wrt v?\nAnswer: 203472*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6322 - -6319. Let o = -31.2 + 34. Let u = j + o. Which is the nearest to 3? (a) u (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4770)\/(-1575))\/(18\/315).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303223340 (base 5) in base 15?\nAnswer: 193715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 266, 765, 1576, 2759, 4374?\nAnswer: 6481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 246 + -252. What is the units digit of r\/2 + (-4 - -10) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28 + -6)*((-6)\/12 + 0). Solve 0 = -5*p - w - 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (52\/(-1638))\/(15\/(-7)*4). Let g(m) be the third derivative of -1\/27*m**3 - 1\/54*m**4 + 4*m**2 - i*m**5 + 0 + 0*m. Factor g(b).\nAnswer: -2*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -22) + (-4677785)\/173089.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**2 - 15*j + 8. List the prime factors of l(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**5\/15 + 6*u**4\/5 - 382*u**3\/15 - 6*u**2\/5 + 76*u\/3 = 0.\nAnswer: -19, -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 g, and 1 t when three letters picked without replacement from ttgbbbtbtbgbbb?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -2\/5 (c) 4\/3 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6866 - -4924. Is r smaller than 11790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 422.2691 milligrams?\nAnswer: 0.0004222691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5*75\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 88071 times -0.171\nAnswer: -15060.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 5726715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.644569072 to 4 dps.\nAnswer: -1.6446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-720)\/108*6\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2)*(-13259 + 24*i - 13258 + 26516) in the form s*i + x and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -78347*i**2 + 65106?\nAnswer: -156694*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 19.9. Let q be (-1)\/(4\/(-3)) + 0. Put y, 2\/7, q in descending order.\nAnswer: q, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 g, and 1 e when three letters picked without replacement from efefegefffegegf.\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/21276486 and -145\/32508?\nAnswer: 42552972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 7. Let r = 45 - 45. Let z be q(r). Let l be 3 + 1185\/(-350) + (-2)\/z. Which is the nearest to -1? (a) 0.7 (b) 2\/11 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5 - (-69)\/(-12))\/((-108)\/(-328)) and 43\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t = 22*t - 100 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -11.1. Let c = p - 0.886. Let k = 0.01358 - c. Round k to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8093 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2808 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = -5*l + 7, 10 = 2*r. Let j(q) = 163*q - 31. Let y(d) = 82*d - 15. Let m(x) = l*y(x) - 2*j(x). Is m(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4922 or 211591\/43?\nAnswer: 4922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 5. Let m be w(4). Let v(q) = 642*q**3 - q**2 - q + 1. Is v(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, 949, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y - 40*y + 30069 = 3*r, r = 4*y + 10032. Round r to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 1040.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-38)\/(-6))\/((-26)\/39)*-38. Suppose -j = 2*a - 375. Sort 0, a, 4, 2 in ascending order.\nAnswer: 0, 2, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5\/9 + 874*u**4\/3 - 586*u**3 - 28862*u**2\/9 + 10528*u\/3 + 10504 = 0. Calculate u.\nAnswer: -1313, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*p)*(6 + 4*p - 1 - 2*p) + 0*p - 5*p**2 + 0*p.\nAnswer: -11*p**2 - 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42694870*w**5 - 539809513*w wrt w?\nAnswer: 853897400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 0*p - 29 - 2*p**2 + p + 4*p**2 + p**2 as s + r*p**2 + w*p and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 149125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5868 at most 4840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**3 - 10*n - 94 + 93 + 0*n**3 as l + j*n**3 + t*n**2 + v*n and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*p = -4*p + 5164335 + 792770. List the prime factors of p.\nAnswer: 5, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/3, -2, -1.7, -0.1 in decreasing order.\nAnswer: 1, 1\/3, -0.1, -1.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -412 by -660.\nAnswer: 103\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19688098 is divided by 348.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 691268.626 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230441221 (base 5) to base 13.\nAnswer: -2a1262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 7. Suppose j*v + 4 - 39 = 0. Let d = v - 12. Is d at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/2*4\/(-40) - (-84)\/105. Put 9, 14, r in descending order.\nAnswer: 14, 9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3264647.81600259 + -0.5.\nAnswer: 3264647.31600259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -25*l + 8. Let m be h(-2). What is the greatest common factor of m and 15254?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1378 - -1389. Solve -24 = 3*c - l*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39850032 a multiple of 1968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 4. Let b(v) = -v - 12. Let f(k) = 1. Let s(i) = l*f(i) - b(i). Let y be s(-6). Solve j = y*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*f**4 - 3*f - 5*f**2 + 20*f**4 + 11*f**4 + 2*f**3 in the form z*f**4 + i*f**3 + d*f + q + n*f**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (13 + -6 + (-2 - -2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -17*p. Let l(c) = 50*c. Calculate -2*l(q) - 7*r(q).\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/5, 4, -0.2, -0.3, -12 in decreasing order.\nAnswer: 4, -0.2, -0.3, -7\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21a5 (base 11) in base 7?\nAnswer: -11310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -833 = -4*r + 267. Calculate the greatest common factor of 75 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 1. Let h be z(-4). Let t = h - 4. Solve -2*o = s - t*o - 4, 4*s - 2*o = 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 1\/2*x**3 - 1\/24*x**4 - 7\/60*x**5 + 1\/120*x**6 + 0 + 3*x**2 + 0*x. Is y(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 72237.17kg?\nAnswer: 72237170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, u: 4, n: 6}. What is prob of picking 3 n?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 621 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(sqrt(153) + sqrt(153)*-2 + sqrt(153)))\/(-1*sqrt(144)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600140350 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neeeguyggnznuyu. What is prob of picking 1 n and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9168181.2 * -4\nAnswer: -36672724.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48613322*t**3 - 83*t**2 + 9380*t + 2?\nAnswer: 291679932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 24 = -5*x, 155 = 2*x + 2*s + 149 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7222 to 2 dps.\nAnswer: 3.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -0.08 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*a - 3*j + 4121, 2451 = 3*a - 3*j. Let w = a - 551. Suppose -2*i - 3*i - 3*p + w = 0, -3*i + 133 = -4*p. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 15*i**3 - 2. Let m(b) = -31*b**3 + 5*b**2 + 31*b - 2. Let r(z) = 2*l(z) + m(z). Let a(n) = n**3 - 6*n**2 - 32*n + 7. Give 5*a(q) + 6*r(q).\nAnswer: -q**3 + 26*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196 and 30.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/9 + (-2590)\/(-90) + 5. Suppose y = 5*h + 14. Factor -5\/2*a - 3\/2*a**2 - 1 + 1\/2*a**3 + 1\/2*a**h.\nAnswer: (a - 2)*(a + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 5*p**2 + 4. Let o be n(-5). Let b(t) = -t**2 - 5*t - 2. Let w be b(-2). Solve 3*l = 4*v + 4, w*v - 24 = -o*l - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 17 = -32*h, 24*h + 64*h - 83*h - 2*r = -5*r + 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150411.\nAnswer: 1150411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2\/4 - 1069275*g\/4 = 0.\nAnswer: -356425, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 340694817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*k = -12, 3*q + 4*k - 16 = q. Let w be (-2)\/4 - (-275)\/22. Suppose -5*i + 114 = r, q*i + 4*r + w = 54. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 3*k. Suppose -4*v = 3*s - 92, -4*v + k = -s - 74. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 + 9)*(-3*j**2 - j**2 + j**2).\nAnswer: -51*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/8*(-11 + -1). Is c\/15 + (-96)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*s + 6. Let r(o) = -o - 6. Let p be r(0). Let n be 40\/p*(-9)\/6. Solve -4*b - s*y + 8 = -n, 4*y - 12 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x. Let a(q) = 6*q**2 - 3*q. Let d(v) = -18*v**2 + 8*v. Let o(t) = -8*a(t) - 3*d(t). Determine b(o(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -4, 5, 4, 15 in increasing order.\nAnswer: -4, -2, 0, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, -20, -35 in increasing order.\nAnswer: -35, -20, -12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/o*(o*o\/(o\/((((((o\/(o*o**(-7)))\/o)\/o*o)\/o)\/o)\/o)))\/o*o*o*(o\/(o*o**(-2\/15)))\/o*o*o\/(((o\/(o\/(o**(1\/5)*o)*o))\/o)\/o))**(1\/18) assuming o is positive.\nAnswer: o**(82\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -3, 3\/50, 0, 32, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 433184 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b*g**5 + 162*b*g**4 + b + 314*g wrt g?\nAnswer: -120*b*g**3 + 1944*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntv when three letters picked without replacement from {v: 1, h: 1, j: 1, n: 1, t: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -26*h - 1200 for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1078 and 70257.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 6427200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/6))\/(a\/(a**(1\/4)*a))*(a*a\/(a\/(a\/(a*a**(-1\/3))))*a*a)**30)\/(a**(2\/19)\/(a\/(a*a**(1\/3))))**38 assuming a is positive.\nAnswer: a**(339\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 97, 100, 103, 106, 109, 112?\n\"Answer: 3*k + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736764097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -d - 1733, 10*k - 5*k - 1721 = -3*d. Suppose 0 = -5*p + k + 544. What is the smallest common multiple of 20 and p?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6. What is the common denominator of (-3976)\/(-240) + 3\/r and -83\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2. Let l(b) = b. Let k be ((-1)\/(-2))\/((-1)\/(-2)). Suppose -4*d + 65 = -3. Let q = -19 + d. What is k*h(v) + q*l(v)?\nAnswer: -v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.4 - 6.4. Let o = 217\/4 - 54. What is the smallest value in 0, 10, b, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7426*w - 7410*w + 144 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v + 16 = 0. Let q = -5 + v. Let m be ((-13)\/(-299))\/(((-3)\/2)\/3). Is m less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5516727 to the nearest integer?\nAnswer: 2349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - y = 7, -156*b - 4*y - 8 = -165*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q - 1054 - 5*q + q + 1053. Let d(z) = -z. Calculate -3*d(k) - 2*s(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (36438\/(-1190308))\/((-3)\/(-4)*2*-1)?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479538 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1049481 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**5\/20 - l**4\/2 - 2*l**3 + 13*l**2\/2 + 4*l. Let z(h) be the first derivative of y(h). Factor z(d).\nAnswer: -3*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -137*x**4 - 15*x**3 - 2*x**5 + 10206*x - 93*x**3 + 1944*x**2 - 26*x**4 + 123*x**4 = 0.\nAnswer: -9, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 14 + 2. Let v be 1\/(-12) - w\/32. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 82 = -8*z - 33*f + 32*f, -2*f + 48 = -5*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 7:05 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvx when three letters picked without replacement from exzwyvvvvwvxw.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxz when three letters picked without replacement from znxzjczcjzxc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2469b4 (base 13) to base 11\nAnswer: -5459a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 - 15 = 0. Suppose -6*n = -3*n - p. Suppose -n*m + 1 = -19. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 29 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 40*q. Let g(d) = -102439*d. Give g(n(j)).\nAnswer: -4097560*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 13*n - 26. What is q(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0508693205 rounded to four dps?\nAnswer: -0.0509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 999 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142725 (base 13) to base 14.\nAnswer: cadbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - r - 10, -3*r = -178*h + 179*h + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*j = 20, 5*j = 3*i - 0*i - 26. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020202 + -1?\nAnswer: 12020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -13 + -2 + 11 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 2:55 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 309280*t**2 - 391501*t?\nAnswer: 618560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 1 + 5)*(-36)\/(-1530).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/9 + 130\/18. Suppose 2*u + w + 10 = f, u = -f + 14. Let b be 3*-1*2\/(-2). Solve b*r + 2*p = -f, 2*r = -2*r - 4*p - 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 11*g**2 - 28*g + 115. Calculate z(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/19 in 779, -1\/2, -8.1, -2\/13, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 24 - 60 - (-7 + 30 + -10).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 0.54484445500491.\nAnswer: 3.45515554499509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5125 + -857. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1569752.\nAnswer: 2, 239, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276737*d + 553484*d - 276745*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 68557375 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4321 + 4.5289. Let p = d - -0.039. Let w be 0 - ((-6)\/5 - -1). What is the second smallest value in p, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3297*j**2 + 3072*j**2 - 9664*j**2 + 3296*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14396 and 12566.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142.2 + -115. Let n = -33 + a. Let w = 6 + n. Sort 5, 0, w.\nAnswer: 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2567185 is divided by 498?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119 + 119.1. Put m, -0.01, -0.5 in ascending order.\nAnswer: -0.5, -0.01, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 30, -2 in increasing order.\nAnswer: -13, -2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/4 - k**4\/2 - 3*k**3\/4 + 2*k**2 - k.\nAnswer: k*(k - 2)*(k - 1)**2*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 13 - 5. Let i be (-14)\/((9\/(-12)*2)\/p). Calculate the highest common divisor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, -5, 27 in descending order.\nAnswer: 27, 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - a - 6. Suppose -2*t - 4 = -o, -2 - 1 = -o + 3*t. Let f be (6 - o)\/(1 + 1). Let v be q(f). What is the nearest to -2\/3 in 2\/15, 1, v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15775190 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/366)\/((-112)\/(-28)*-2*1\/4)\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 4. Let k be 1\/(4 + (-54)\/12). Let g be -12 - k - 1060\/(-100). What is the nearest to -1.6 in -0.4, i, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m**2 - 39*m**2 + m - m - 4*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 7 + 9. Let l be 2*(2\/j + 1). Solve 33 = -3*m - 2*m + 2*w, -2*m - 22 = -l*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0.1. Let l = 0.0331 - 0.1331. Which is the closest to l? (a) h (b) 3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 986049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 62.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/5))**13)**(-22) assuming r is positive.\nAnswer: r**(-858\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 1410*s + 707*s + 703*s - 28*s**3 + s**2 to j*s**3 + t*s**2 + p + z*s and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92372 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from nlmqoll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1439940.1 - 0.0323967\nAnswer: -1439940.1323967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 8:10 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 * -37.2.\nAnswer: 8.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 14*d + 208. Let f(z) = -5*z - 78. Let h(u) = 8*f(u) + 3*q(u). Let j(l) = 341*l**2. Determine j(h(s)).\nAnswer: 1364*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 3, 0, -1\/6 in increasing order.\nAnswer: -1\/6, 0, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -12*y - 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 14 = 9*m. Suppose v + 3 = m. Suppose -37 = -v*l - 9. What is the remainder when 41 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75724 divided by -44\nAnswer: -1721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 165944800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4377626677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skk when three letters picked without replacement from {l: 1, w: 2, g: 3, k: 4, s: 1, e: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*i**2 + 2*h**2*i - 14*h**2 - 254394*h*i**2 - 3*h*i + 2*h - 69*i**2 - 805 wrt i.\nAnswer: -6*h**2 - 508788*h - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 25 = l - 20, 4*k - 4 = -3*l. Sort l, 2, 27 in descending order.\nAnswer: 27, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/33 (b) -0.2 (c) 1\/4 (d) 0.5 (e) 14 (f) -6 (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 21*v. Let m = 10 + -7. Solve -m*x + x = v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 6*q**2 + 9*q + 4. Let p be z(-4). Suppose p = 4*c - 0 + 16. What is the second smallest value in -0.2, c, 0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2318 is divided by 53?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 75. Let g(x) = -x + 2. Let d(h) = 2*h - 3. Determine u*d(c) + 5*g(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-258)\/(-8) + 276*99\/(-1188)\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19 - -1.81. Which is the nearest to 1\/3? (a) -1 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61a096 (base 15) to base 4.\nAnswer: -101230333332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -16360 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -8*t + 18. What is the greatest common divisor of t and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 9*m - 8. Let r be g(8). Let l = 865 + -862. Let r - 9\/5*v**l + 9\/5*v**2 - 3\/5*v + 3\/5*v**4 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 109065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/33 + (-6)\/33. Let y be i\/((-6)\/(-9)) + -17. Let c be y\/4 - 1\/(-2). Put 2, -1, c in descending order.\nAnswer: 2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**3 + 154*g**2 + 108*g - 327. What is n(52)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 594 and 13980626?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/120 - c**5\/15 + c**4\/24 - 7*c**3\/6 + 8*c**2. Suppose 0 = -2*o - o + 5*t + 5, 4*t + 11 = o. Calculate w(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {i: 3, s: 2, m: 1, e: 2, z: 2, r: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9504338 litres in millilitres?\nAnswer: 950.4338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36612962 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2134783453 - 2134783440.29999879. Let b = y - 12.7. What is b rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 4. Let v be k(5). Let y = -1 - v. Let m = 1 + y. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 575611 and 93?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 2, 7 in ascending order.\nAnswer: -3, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 1\/4, 2\/35, -4\/3, 6, 21\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 1. Let q(k) = -757*k - 771*k + 2298*k - 10 - 743*k. What is 22*j(z) + 2*q(z)?\nAnswer: 32*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -45.39?\nAnswer: -499.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = 0, 5*v + 0*x = 3*x + 576. Suppose -4*h + v + 279 = 0. Calculate the highest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 12*b**5 + 4792*b**4\/5 - 10636*b**3 + 137336*b**2\/5 - 113488*b\/5 + 4896 = 0.\nAnswer: -90, 1\/3, 1, 2, 34\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63882*j**3 + 31498*j**2 + 63880*j**3 - 31498*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) -0.2 (b) -7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:43 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2. Suppose 13 + 7 = 2*f. Let p = 1052 - 1042. Let s(d) = -p*d + f*d - 9*d. Calculate s(g(c)).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3013204 + 125?\nAnswer: -3013057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15577*d + 2375*d + 3266*d - 11705*d to the form u + a*d and give a.\nAnswer: -21641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (sqrt(1331) - (sqrt(1331) + 1)) - sqrt(1331))*-3)**2*-5 + -1 + -5.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 141*p - 144*p - 36 = 0, 9*p = -h - 158 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-186)\/465*((-420)\/16)\/(-7).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -24124?\nAnswer: -24126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**4\/5 + 2485868*z**3\/5 - 386232418252*z**2\/5 + 3475890411876*z\/5 = 0.\nAnswer: 0, 9, 310729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1450 divided by 5\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 57048688 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 84283619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**(1\/8)*g**(2\/5)\/(g*g**(-1\/5)))\/((g*g\/(g*g*g**0\/g))**37)**(-39) assuming g is positive.\nAnswer: g**(201959\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f - 22. Let k be o(8). Let y = -15 + k. Which is the second biggest value? (a) 1\/6 (b) 1 (c) y (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 3:43 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*l - 84025, -4*l + 6*n + 67180 = 2*n. Round l to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 0) + -97 + 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6591 or 5975?\nAnswer: 5975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 0, 1, -73 in increasing order.\nAnswer: -73, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, 15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3*g - 224 = -195, 6*g + 67 = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/6 - 32\/(-24). Suppose -2*c + 2 = 4*g, 3*g - 5*c - 2 = -7. Solve g = -4*p + i + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 2 = -4*u. Let g(l) = 41*l + 11*l**2 - 67*l + 27*l. Determine g(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2179*s**6 - 1122*s**5 - 27563475*s**2.\nAnswer: 261480*s**3 - 67320*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*l)*(1386*l + 1388*l - 2772*l - 1149) to the form m + s*l + g*l**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57498, -57498, -57496, -57492, -57486?\nAnswer: -57478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*h + 34*h - h**2 + (-2*h + 0*h + 0*h)*(0*h - 4*h + 2*h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68716.\nAnswer: 2, 41, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4 - 221*h**3 - 445*h**2 - 223*h = 0. Calculate h.\nAnswer: -1, 0, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6590.39 - -329267.39. Let j = a - 322674.00001. Let p = -3 + j. Round p to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-34) + (-17325480)\/(-4930). Let p = y + -3514. Find the common denominator of -11\/7 and p.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 2*o**2 - o - 3. Let u be p(0). Put 5, -4, u in descending order.\nAnswer: 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**5\/20 + 7*x**4\/12 + x**3\/2 - x**2\/2 + 2*x. Is n(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -354, -353, -352, -351, -350?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(6 + 27)*(-9)\/21. What is the third smallest value in 0, 1\/4, x, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.126, 4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x + 124 = 0. Suppose -s = 5*y - 36, -2*s = -y - 8 - x. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:33 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1048.05 - 1048. Sort 1, -4, 0.06, p in increasing order.\nAnswer: -4, p, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 4*u - 3*u)*(-32 + 0*u + 7*u + 30).\nAnswer: -14*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.2 (b) -15 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72585, -72691, -72815, -72957, -73117, -73295?\nAnswer: -73491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9693951\/19 - -510326. Let h = 118 - l. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -517\/3, -1\/6, -5.4, 3\/5 in increasing order.\nAnswer: -517\/3, -5.4, -1\/6, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + y + 24 = 0, -2*l - 2*y - 12 = -3*l. Suppose -5*s + 3 = -l. What is the lowest common multiple of 1 and -1 + (-5)\/(2 - s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 + -0.15. Let y = m - 0. What is the third biggest value in -5, y, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143 - 153. Suppose -8*d + 12 = -4*d. Let t(q) = -4*q - 10*q**2 - 18*q**3 - 10 + 2*q + 17*q**d. Determine t(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 4*i - i + (2 + 2 - 5)*(2 - 2 - i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3398.\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, 37970, 0.1, -117 in descending order.\nAnswer: 37970, 3, 0.4, 0.1, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3*s**2 + 2*s)*((-2 + 5 - 4)*(s + 4*s - 6*s) - 1 + 1 + 2*s + 0 + 2*s + 0)*(15368 - 1016*s - 15368).\nAnswer: 15240*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -19. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95868859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -438, -1116, -2262, -3990, -6414, -9648?\nAnswer: -13806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13625.622703 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 4) + (4 - -2). Solve -6 = -2*j, -3*b + p*b + 4*j - 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 9*d - 5. Let g be y(5). Which is bigger: g or 14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937 a factor of 53882789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5912 + -5869 + -84 + -1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 11 = 22*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-10) - (-2)\/(-10). Let w(m) = 2*m - 2. Let u be w(b). Solve -3*c = c + v - 21, 0 = -c + u*v + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -19.36933?\nAnswer: 7.747732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {w: 3, f: 1, y: 4, z: 4, x: 1, j: 4}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -952 + 932. Put l, -0.4, -4\/3 in descending order.\nAnswer: -0.4, -4\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76 - (-37765)\/(-490))\/((-9)\/3)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75341?\nAnswer: 7, 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1, -2\/7, 10519, 3\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6 - (2 - 3)) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12642 - -151595\/12. Find the common denominator of -73\/36 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21a5e (base 15) to base 9\nAnswer: 172648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*m + 36, -9*r + 4*r + 59 = 2*m. Solve b - m = 5*p + 3, 3*b - 24 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 96, 344, 816, 1584, 2720?\nAnswer: 4296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 13 = -4*m. Let o = -1.5 + 2.5. What is the nearest to -0.1 in -0.2, m, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3240 and -3265 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2912.1 + -2911.6. Let n = 8 - 7. Suppose -h - n - 8 = -4*d, 4*d = -3*h + 21. What is the nearest to -1 in h, 2\/9, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2087948 * 1.\nAnswer: -2087948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 87359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -262 (b) -4 (c) 1 (d) 1\/88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8242.84l?\nAnswer: 8242840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = w + 1, -486*f - 28*w - 106 = -482*f - 10*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370328 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/4 - -1\/4. Let u(y) be the first derivative of -4\/3*y**3 + 1 + y**2 + 0*y - c*y**4. Factor u(d).\nAnswer: -2*d*(d + 1)*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.735 times -0.5\nAnswer: 2.8675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 12:51 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -3270.\nAnswer: 19\/1635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1266, -2\/9, 0, -5?\nAnswer: -1266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 + 69 - 807*k - 365*k as b*k + h and give b.\nAnswer: -1172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1054, -998, -904, -772?\n\"Answer: 19*k**2 - k - 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**3 - i**3 - 3 - 2*i**3 - 3*i**3 wrt i?\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4*y = -15, 17267*y = 4*s + 17271*y + 16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -177\/2 in 0, 83, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-11 - (-14 + -5) - 0 - -4 - 22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -174511954.275 take away -0.9?\nAnswer: -174511953.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -1\/2*t**3 - 10*t + 0 + 3\/2*t**2. Calculate v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (32\/10)\/(2\/5). Let j be (6\/c)\/(9\/7). Let b = -1512 - -1512. Are j and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118034*p = 119629*p - 108460 for p.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - -3 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 9:50 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9273.34 + 9386. What is h rounded to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 4, 7\/2, 10\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (4 - (-2 + 7 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*f + f**2 + 30*f - 18*f + 2*f**2 + 3 - 41*f to the form g*f + q + u*f**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2672278*k**2. Let d(j) = 13*j. Determine z(d(y)).\nAnswer: -451614982*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 442.\nAnswer: 3\/442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1038516.5?\nAnswer: 1038516.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -85192.\nAnswer: -1\/21298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g. Let s(m) be the third derivative of 839*m**4\/24 - 16*m**2 - 2*m + 54. Calculate s(i(d)).\nAnswer: -10068*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -35334 (base 6) in base 3?\nAnswer: -20222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 77944*g**3*o**3 - 51*o**3 + 16152 wrt g?\nAnswer: 233832*g**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -894? (a) -275 (b) -0.4 (c) 1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 550, 1100, 1650, 2200, 2750?\n\"Answer: 550*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*o**3 + 4*o + 16\/7 + 2*o**2.\nAnswer: 2*(o + 1)*(o + 2)*(o + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 2374 - h**2 + 3*h - 4751 + 2371)*(-4 + 2 + 3).\nAnswer: -h**3 - h**2 + 3*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 - 2*g**4 + 3*g**4 + 9*g**3 - g**4 - g**4 as q*g + j + a*g**2 + s*g**4 + y*g**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -180, -327, -474, -621, -768?\n\"Answer: -147*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 0\/2 - -3. Let f be (-4)\/6 + (-184)\/(-6). Let n = f + -6. Calculate the highest common factor of n and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12320324120 (base 5) to base 4\nAnswer: 321100311120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 840\/(-135) - 6\/(-27). Put 0, a, 3 in decreasing order.\nAnswer: 3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/(3\/54). Let w be 2\/6 - 42\/h. Suppose -r + w*j = -1 - 14, 0 = -r + j + 11. Solve 2*t = -3*b + 3 - r, -4*b + 4*t + 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -11)*(-662)\/492. Let c = 7\/82 + f. Calculate the common denominator of -133\/6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**39*j*j*j\/(j*j*j**6)*(j*j\/(j*j**(-7)*j))\/j)**12 assuming j is positive.\nAnswer: j**(-456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 4*w - 2*w)*(-3 - 2 + 6) + 23353 - 23353 - 735*w + 3 - 3 - w.\nAnswer: -734*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**2 - 1335*x**2 - 1325*x**3 - 79*x**3 wrt x?\nAnswer: -8424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from ghshvcdc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 113*i**3 + i**2 - 5 + 2*i**4 + 5*i**4 + 9 - 38*i**3 to p + r*i**2 + u*i + o*i**4 + z*i**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpccvpvccbppccccev. What is prob of picking 1 c and 1 b?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -962*k**2 - 469 wrt k.\nAnswer: -1924*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 - 10*c + 4 + 2 + 7*c as m + r*c and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4863301?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 36. Let i(z) = -2*z. What is q(i(n))?\nAnswer: -6*n - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34920232?\nAnswer: 2, 4365029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/855 < -1686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 82*t**3 + 8. Let m be ((-4)\/3)\/(14\/(70 - -14)). Let j(c) = -27*c**3 - 3. Calculate m*j(l) - 3*h(l).\nAnswer: -30*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 58*t**2 - 58*t - 51. Let h be k(59). Solve 15*v = -6*v + h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1645 + -1441. What is the greatest common factor of 680 and p?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369608328 divided by -4.\nAnswer: -92402082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(500))**2 + 2 + 1 + -1*sqrt(5)*-1.\nAnswer: sqrt(5) + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6340 in -0.05, -4, -591?\nAnswer: -591","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 88444, 4, 0 in ascending order.\nAnswer: 0, 4, 88444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350, -351, -352, -353?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyyz when four letters picked without replacement from hhwhytyyyyzyy?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.748 + -0.352. Let i = 93.1 + u. Let k = i + -78.2. Which is the closest to -0.1? (a) k (b) -0.1 (c) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 + -99. What is the smallest value in 0, r, 447?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(10 + -9 - (5 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36, -3, 172, 561, 1236, 2269, 3732?\n\"Answer: 12*p**3 - p**2 - 48*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/3 - 5*g**4\/3 + 4*g**3\/3 = 0. What is g?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3900 is divided by 156.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*2*1\/(-10). Let r = 9\/2 + -22\/5. Let o be 3 + (-3)\/(-78)*-82. What is the closest to -1 in x, r, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2425?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11.25 * -0.3\nAnswer: 3.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 5*j = 3*g - 9, j + 3 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 3)*(-p - p + 0*p) + (1 + 2*p - 1)*(-1 + 0 + 2) + 17*p - 40*p - 14*p to q*p + m and give q.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2175, 2178, 2179, 2178, 2175, 2170?\n\"Answer: -y**2 + 6*y + 2170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -1 + 0*d + 1\/6*d**2 + 1\/6*d**4 + 1\/3*d**3. Suppose o(h) = 0. Calculate h.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292915*o + 123 - 256 + 133.\nAnswer: -292915*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2204, 0, 30.\nAnswer: -2204, -4, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Suppose -3*c - 2*c + 10 = x. Suppose 2*u - u + 19 = 5*t, 0 = -c*u - 3*t + 27. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101131.\nAnswer: 23, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585.9981 months to decades.\nAnswer: 4.8833175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-874)\/(-161) - (-2 + 8)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001111011110 (base 2) in base 12?\nAnswer: 151ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnnnmmhmnhnm. Give prob of sequence nnh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 447126 (base 8) in base 4?\nAnswer: 210321112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.01, -3, 7, 0.54, -77 in increasing order.\nAnswer: -77, -3, 0.01, 0.5, 0.54, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 98, -5 in decreasing order.\nAnswer: 98, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74987*g**2 - 224896*g**2 + 74930*g**2 + 74983*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 10 - 1 = 35*p, -5*p + 4*q - 65 = 9*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 5*v**2 - 4*v + 5. Let x be q(4). Let a(s) be the first derivative of s**4\/4 - 2*s**3 + 3*s**2 + 4*s - 12. Calculate a(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/4 - 1\/4. Let s = -480 + 479.5. Which is the closest to z? (a) -2\/3 (b) s (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/5, -1, 6, -134\/9 in decreasing order.\nAnswer: 6, -2\/5, -1, -4, -134\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177139 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efe when three letters picked without replacement from eerfe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*i + 0)*(-3*i - 2*i**3 + 3*i) - i**4 + 0*i**4 + 3*i - 2 - i**4.\nAnswer: -6*i**4 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)\/s**10)**(-1\/2))**36 assuming s is positive.\nAnswer: s**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/15 - 358*p\/15 + 356\/15 = 0.\nAnswer: 1, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -18008*z**2 + 0*z + 0*z + 24116*z**2 in the form q*z**2 + o*z + w and give q.\nAnswer: 6108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - 8*f**2 + 7*f + 3. Suppose 2*v - v + 2*q = 2, 5*v + 4*q + 14 = 0. Does 15 divide x(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, 1, -7 in increasing order.\nAnswer: -7, -1, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48488\/(-42427))\/((-4)\/(-119))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 1, c: 4, p: 5}. What is prob of picking 3 c?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 132 = 3*p, -376*p = -373*p + 5*k + 135. Which is greater: p or -47?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -965 = 5*w + 175. Let t be (-3)\/(-15) + w\/15. Let g be (-3)\/t - (-18)\/10. What is the highest common factor of g and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -71. What is the closest to w in -0.3, -1\/3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 + (-3)\/(-12))\/(6\/(-79)) and -1 + 2*118\/200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = h + 2*a, 4*h + 0*a + 2*a + 260 = 0. Let s be h\/(-27) + 2\/3. Solve -n = -3*i + 2 - s, -4*i + 4*n = 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 5:18 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + sqrt(1088) + 0 + 4 - (0 + sqrt(1088) + -2 + sqrt(1088)))*-1 + sqrt(1088) + (-2 + sqrt(1088))*2 + -5*2*sqrt(1088))**2.\nAnswer: 1120*sqrt(17) + 53412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6930 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*i + 60. Let t = -80 - -26. Let f = t - -76. Calculate the smallest common multiple of f and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17191 and 445.7346603?\nAnswer: 17636.7346603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -2)*2*-1. Calculate the remainder when 92 is divided by y - -3 - (27*-1 - 3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -0*q + 2*q. Suppose -4*y - t + q = -0*y, y - 3*t = -5. What is the remainder when 38 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5651938 divided by -6\nAnswer: 2825969\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(6*5\/30). Let f(l) be the first derivative of -h*l - 3 + 7\/2*l**2. Give f(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 f, and 1 t when four letters picked without replacement from tjhtjjjfhth?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2. Let g(k) = k**2 - 9*k**2 + 9*k**2. What is g(b(u))?\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068010 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g + 2. Let b be x(-4). Let k be ((-6)\/b)\/(2\/12). Differentiate 2*y**k + 5 - 6 - 2 + 0 wrt y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 313474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3943 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 46*16 + (5 - 8 - -5). Calculate the highest common divisor of g and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001549881 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + p. Let f(s) = -7*s**2 - 6*s - 2. Suppose 3*x - 17 = -14. Determine x*f(g) + 6*v(g).\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 - 64. Let i(j) be the first derivative of -17*j**4\/4 + j**2 + j - 2. Calculate the remainder when f is divided by i(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 + 3 = 0. Let n = h + 2. List the prime factors of 1\/n + (-44)\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*a = 16, -14 + 22 = 2*g + a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c + 60 = -29*c. Solve c*i = -v - 6, 2*i - 6*i = -5*v + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -8 - -4) + -3. Let p(m) = 2*m**3 - 2*m + 7*m + 8 - 5 - k*m. Let a(q) = -4*q**3 + 3*q - 7. What is -4*a(g) - 9*p(g)?\nAnswer: -2*g**3 - 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 123 = -22*t + 18*t, t = 4*x + 36. Solve -t = 5*y - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*-2 + sqrt(5200)*-1)\/(sqrt(176)\/(5*sqrt(11)*-1)).\nAnswer: 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1168, -2345, -3522, -4699?\n\"Answer: -1177*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-15)\/(-12)))\/(55\/((-96140)\/(-368))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104 - 109 - (-1 + -13)) + -16 + (14 - -11).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/3136 and 59\/238784.\nAnswer: 1671488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*a + (-2 - a + 2)*(2 + 1 - 2) + (-3 + 3 + 2)*(-7 + a + 7) - 634*a + 359*a + 389*a.\nAnswer: 113*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123748394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4) + -2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160993744?\nAnswer: 2, 23, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13 + 0.23. Sort -0.2, -0.18, -5, a in increasing order.\nAnswer: -5, -0.2, -0.18, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4260 divide 33315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/424037940 and -67\/73220?\nAnswer: 2968265580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72426457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**3*q*z**3 - 8*k**3*z - 1402*k**2*q*z**3 + 2*k**2*z**3 - 4*k**2*z**2 wrt q.\nAnswer: -2*k**3*z**3 - 1402*k**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -44*i - 18. What is r(1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 - 1)*22\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -1267*n**5\/10 + 35*n**3\/6 - 6*n**2 + 11666*n. Find the second derivative of c(q) wrt q.\nAnswer: -15204*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 407*k. Let q be (5\/3)\/((-50)\/(-60)). Let w(u) = -118*u**2 + 61*u**q + 59*u**2. Give w(h(a)).\nAnswer: 331298*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11*c**2 + 3*c + 20. Let w(v) = -4*v**2 + v + 7. Let j(z) = -3*h(z) + 8*w(z). Let l be j(3). Solve -2*f = -7*a + 2*a - 14, -l*a + 2*f = 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/sqrt(2))\/sqrt(3))**2 + sqrt(3) + (-1*sqrt(15))\/sqrt(5) + ((-1*sqrt(42)\/sqrt(2))\/(sqrt(7) + sqrt(112)*3 + sqrt(7) + sqrt(7)))**2.\nAnswer: 226\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)\/((-7)\/(-4)). Let i = -4.1 + 4. Is i equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:26 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4139 + 4142. Let j(l) be the third derivative of -3\/32*l**6 + 175\/96*l**4 + 0*l + l**5 + d*l**2 + 0 + 5\/4*l**3. Solve j(q) = 0 for q.\nAnswer: -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*i + 28723, 35*j + 21571 = 3*i + 33*j. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6876 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5460, 10962, 16462, 21960, 27456, 32950?\nAnswer: 38442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 240082067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1956500 divided by -139750?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 75321054 divided by 18\nAnswer: 4184503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165385\/44220 + 70\/(-8) - -5.\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82177, 164396, 246615, 328834?\nAnswer: 411053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 173475130*w - 1504681036425845.\nAnswer: -5*(w - 17347513)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -53110 divided by 289\nAnswer: -53110\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 1. Let x(i) = 5*i + 4 - i - i. Suppose -88*y = -36*y + 50*y + 102. Determine y*x(q) - 2*m(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c - 3. Let s be v(-3). Let d = -20 - -26. Suppose 2*f + 8 = 3*z, -z + d*f = 4*f. Solve -s + z = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 19120?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 9*b + 10. Suppose 5*j = 3*j - 12. Is 25 a factor of a(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/((-1)\/4). Let z(l) = -l + 13. Let u be z(10). Put v, u, -4 in ascending order.\nAnswer: -4, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:16 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 52 - (65 - (11 + -31))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 f, and 1 c when four letters picked without replacement from {x: 2, s: 4, c: 3, r: 2, z: 2, f: 3}.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -35?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 918 - 128. Calculate the remainder when m is divided by 159.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, s: 6}. Give prob of sequence msss.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82\/35 + 37\/14. Calculate the common denominator of k and 54\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 i, and 2 a when four letters picked without replacement from qapiqqpqiqiqpq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 956, 4, -5, 2 in decreasing order.\nAnswer: 956, 5, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115528 - -237189. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 142.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*l + 42, 19 = p - 693*l + 694*l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*s - 30 = -2*s, 2*y + s = 60. Suppose -4*m + 527 - 77 = 5*h, 0 = 4*h - 4*m - 360. What is the highest common divisor of h and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51957875?\nAnswer: 5, 19, 131, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 10088925.07 and -3.\nAnswer: 10088922.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 7 = 4*w, -w + 5*t = -6 - 0. Let m be (-5)\/(-3 + (3 - w)). Suppose -5*v - 2*l = 2*l - 275, -m*l = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 1. Let j be (-10)\/8*(9 - (8 - 3)). Let w be 66\/(-22) + 5\/(j\/(-6)). Give m(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16500 times 4\nAnswer: 66000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1061\/8070 + 1\/538. What is the third smallest value in o, -0.2, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10602, 10540, 10382, 10080, 9586?\n\"Answer: -8*n**3 - 6*n + 10616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 5*s**2 - 4*s + 1. Let x(h) = -h - 8. Let k be x(-4). Suppose 4 = 2*p + 2*p. Calculate the smallest common multiple of p and g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1355 and 34209685.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 7, u: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -15 - 31) + 16 - -7 - (63 - 1).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51349484, 102698965, 154048446, 205397927?\nAnswer: 256747408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3\/f*f*f*f\/(f**2*f)*f)\/(f**(1\/2)\/f**(-1\/13)) assuming f is positive.\nAnswer: f**(63\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14663 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 - (-2 - -2)\/(3 + 0) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (93 + -108) - (103 - (2 - 2))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - 23*g**3 - 10*g**3)*(-2*g + 0*g + 0*g + g**2).\nAnswer: -33*g**5 + 66*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6063384 rounded to two dps?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -15. Let a(o) = o**3 + 11*o**2 + 9*o - 5. Let g be a(-10). What is the greatest common divisor of l and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5679 = 3*o - 3*k + 2226, o - 3*k = 1153. Suppose 3*f = -7*f + o. What are the prime factors of f?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-45) + -1)*30. Does -18 = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -390 + 588. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277566337 to the nearest integer?\nAnswer: 16660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - a**2 - a. Let h(c) = -2*c**3 - 2*c**2 - 2*c + 3. Let p(q) = h(q) - 4*i(q). Let f = -43 - -41. What is p(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times -93?\nAnswer: -14.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4709*k + 28. Let c(f) = -127*f. Calculate x(c(l)).\nAnswer: -598043*l + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1039*h**2 + 33*h - 218. What is the units digit of y(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**(-2\/3))*d*d**(-6))\/((d**(-3)\/d)\/(d*d\/(d*d*d*d**2*d*d))) assuming d is positive.\nAnswer: d**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 2)*(-2*v - 2*v + v) + (2170 - 2170 + 72*v)*(-4 + 4 + 4))*(-v + 0*v - v).\nAnswer: -582*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117*l + 1201*l + 2479 + 2941 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c + 3. Let h(d) = -d**2 + 2*d + 4. Let s be h(4). Put s, c, 2 in increasing order.\nAnswer: s, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l, -10 = -c - 0*l + 2*l. Calculate the highest common factor of 50 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 289\/78 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*(-16)\/(-20).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19)\/(-7) - 20\/(-70). Suppose -h + k = -1. Suppose -15 = -5*w - 2*u - u, -h*w - 4*u = -12. Solve -4*p + 5*p = w*x + 13, -p = 2*x + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 925*s - 3890 - 1660 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w - w + 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165388303\/970 - 852513\/5. Let x be ((-1)\/2)\/(97 - 0). Let u = x + d. Is 2 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*f**2 - 564599*f - 647101841 wrt f?\nAnswer: -54*f - 564599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/6 + i**3\/6 + i**2 - i. Is t(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/57)*m*(m*m**(16\/3)*m)\/m*m**5*m*m**21 assuming m is positive.\nAnswer: m**(653\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.148637954 minus 5?\nAnswer: -6.148637954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 80. Suppose 2*o + o - 335488 = 5*r, r + 67108 = -n*o. What is r rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**7*d**(-5\/7)*d assuming d is positive.\nAnswer: d**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((16 - 6) + -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -22. Suppose p = 2*z - 6 - 18. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75\/2? (a) -1 (b) -1\/7 (c) 2 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 10:01 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -2310bc5?\nAnswer: -2310bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(-35)*c*c\/(c*(c\/c**(-2\/11))\/c)*c*(c\/(c*c**2))\/c*c assuming c is positive.\nAnswer: c**(-772\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.32 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/10 + 29*b\/10 + 27\/5.\nAnswer: (b + 2)*(b + 27)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -2\/19 (c) 414\/13 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -8.06. Let w = -0.099 - 0.061. Let z = w + u. What is the closest to -1\/3 in 0, -1\/5, z?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7275*p**4 - 5*p**3 - 5*p**2 + 15*p - 1016. Let b(h) = h**4 + h**3 + h**2 - 3*h - 1. Let y(c) = 5*b(c) + v(c). Differentiate y(q) wrt q.\nAnswer: -29080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 43*r + 44*r = -9, -q + 4*r = -22 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, -5, -0.07?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -5, 3, 12\/13, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/352)\/(87\/(-464))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l**2 + 13*l**2 - 12668*l**3 + 13 - 13.\nAnswer: -12668*l**3 + 35*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 258?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 7. Suppose -3*t - 4 = -2*z, -3*z = -4*t - j - 4. Suppose 0*m + 2*m = 2*b + 16, -z*m - 2*b + 12 = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 378587*g**2*l**2 + 2*g**2 - 268832*g + 10*l**2 - 9*l + 35 wrt l?\nAnswer: 757174*g**2*l + 20*l - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13964 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*a - 200*a - 69 = -99*a + 1641 for a.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295098.\nAnswer: 2, 3, 137, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/30 + 3*u**4\/8 - u**2. Let a be r(6). Let s be a\/15*2\/(-6). Which is smaller: s or 4\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 21*y + 57. Let o be d(-24). Let c = -21 - o. Is 31 a factor of (3\/c + -2)\/((-4)\/296)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-191 - 354250\/(-1853))*(-4 + -1)*(-4)\/12\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**5 + 25*f - 30*f - 15*f**5 wrt f?\nAnswer: -320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -33. Suppose -r + 6 = 3*a + w, -5*a - w = -5. Suppose 3*i - 10 - 26 = a. What is the remainder when 46 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 8*o**2 - 25*o - 3. Let l be m(9). Let s = 1 - l. List the prime factors of s.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -242, -608, -1096, -1706, -2438, -3292, -4268?\n\"Answer: -61*o**2 - 183*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 11*u**2 - 47*u - 83. Let t be j(-5). Solve 31 = 4*d - 5*q - 0*q, t*q - 6 = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -23, -0.2, 2, -0.34?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302.6703ml to litres.\nAnswer: 0.3026703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, -1\/4, 3, -1564 in decreasing order.\nAnswer: 3, -1\/4, -2, -7, -1564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 - 68 = 3*p - 5*y, -p + 4*y = 6 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.901 - 0.001. Let d = -0.1 - v. Sort d, -1, 0 in descending order.\nAnswer: 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/5089510 and -77\/4.\nAnswer: 10179020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + 10 + -17.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/3, 8, -15313?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508*c - 80047 = -519*c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72.4 - 71.7. Let v = 87\/4 + -22. Which is the biggest value? (a) v (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x\/x**(-2))\/x*x)**(-4\/25))**(1\/13)*(x**4\/(x*x**(1\/6)))\/(x**0)**(1\/4) assuming x is positive.\nAnswer: x**(1081\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -16) + (2 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2)*2\/((-6)\/(-87)). Let p = i + -31. What is the nearest to -0.1 in 4, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 80 + 42 + 4*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 20, -1396347?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 - 10*b + 1. Let v be s(2). Are v and 3\/811 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Let i(j) = 11*j**2 - 3*j + 2. Let l be i(p). Calculate the highest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6723 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 41*n**3 + 2*n**2 - 2*n - 1. Let u be (-88)\/(-33)*(-6)\/(-4). Let w be u\/(-6)*-1*3. Is x(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280803271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-23)*r\/(r**24\/r) assuming r is positive.\nAnswer: r**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 452 - 126. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 329.8814 - -0.0186. Let l = 333 - q. What is the third smallest value in 0.5, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 f, and 1 u when four letters picked without replacement from vkufukvfuuuuuu.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-6 + 1 - (-10 + 0 + 5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 90 + -80 + (-1 - ((3 - -1) + -1 + -9))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -813*w + 15. Let a(t) = 2502*t - 46. Calculate -5*a(s) - 16*x(s).\nAnswer: 498*s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-2)\/(-2) - 40013. Suppose -5*z - 4*o + 3*o + 949913 = 0, 4*z - 759940 = 4*o. Let r = z - x. What is r rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 26*t**2 - 2*t - 32. Determine x(-26).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h + 4 + 20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1624\/(-29))\/(-14))\/((-3)\/6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 142403957 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34)\/17*3\/(-18). Sort -4.1, q, -2\/3, 2\/5 in increasing order.\nAnswer: -4.1, -2\/3, q, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 278 + -274. Solve -6 = d*n + 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21733323479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5253 - 623. Let w = 18073 + c. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*o + 3013, 5*o + 5*g - 5777 = 1773. List the prime factors of o.\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 410724 by 410724.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3152737 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 28. Let u = -13.3 - m. Sort u, -2, -0.5.\nAnswer: -2, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 62 - 13 = 0. Let l = 29 + j. Let n be ((-8)\/10)\/((-3)\/15). Solve 3*x + 1 = -2*m, -l = 4*x - 2*x + n*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/42043 and 49\/33.\nAnswer: 1387419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/((-1815)\/(-1716)))\/(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 88, 4, -3, 1, 2966 in increasing order.\nAnswer: -3, -0.1, 1, 4, 88, 2966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -166*y**5\/5 + y**4 - 177*y**2\/2 + 2611. Find the second derivative of m(w) wrt w.\nAnswer: -1992*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2 + 40960*x + 209715200 = 0 for x.\nAnswer: -10240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018198417 a multiple of 5853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-1)*(-6)\/(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k - 4. Let y(t) = 3*t**2 + t. Let d be y(-1). What is the remainder when (-6)\/(-1)*7\/d is divided by f(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4) + (-12 - -13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g + 536. Suppose 7*m - i = 2*m + 154, 5*m + 4*i = g. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -355.2434 rounded to 0 dps?\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 184\/69*6\/(-4). Let g = -0.1 + -0.1. What is the second biggest value in g, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14981848.46 to the nearest 10000.\nAnswer: 14980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h + 13*h**3 - 22*h**3 + 12*h**3 + 3*h to o*h**2 + t*h + d*h**3 + w and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2, 2*y - 206 = -0*a + 5*a. Let b = y + -86. Solve 2*i = -2*i - b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38344083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 162.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -20?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**3 + 40*u**2 + 75*u - 270 = 0.\nAnswer: -3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - -11. What is the remainder when c is divided by (-114)\/(-12) + 8\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69858979?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 4*o**2 - 3. Let v(d) = 10*d - 65 - 60 + 118 + d**2. Let r be v(-11). Determine x(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6322061 + 3?\nAnswer: 6322064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -260 + 35449 + (3 - 18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - 6.6. Let n = 4 + h. What is the third smallest value in n, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/11961630 and -107\/3455582.\nAnswer: 155501190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13034 (base 5) to base 15\nAnswer: 47e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -3, 1, 2 in decreasing order.\nAnswer: 3, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**2 - 61*x - 34. Let r(a) = -14*a**2 - 185*a - 104. Let t(c) = -11*j(c) + 4*r(c). Differentiate t(u) wrt u.\nAnswer: -2*u - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f + 12. Let x be r(-1). Let k be -1*((2 + -4)*-1 - x). Solve k = -3*z - 3 + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 4:47 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.478 - -143.478. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56215171 or -56215168?\nAnswer: -56215171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.197999 + 128.794901. Let y = u + -131. What is y rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9163)\/399 + (-14)\/399?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Let t be (4\/6)\/((-1)\/(-15)). Let v = t - k. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from dnbvvdbdfddd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83416 is divided by 66?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 53 - 40 = 3*t, 3*t + 3*z + 42 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -19*y - 282. Let d be z(-15). Suppose -8*f**3 + 6*f**3 + 5*f**2 - 22*f**2 + 7*f**d - 10*f**3 = 0. Calculate f.\nAnswer: -17\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3853326, -7706658, -11559990, -15413322, -19266654, -23119986?\nAnswer: -26973318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -362 + 418. What is the remainder when c is divided by 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-3)\/f))\/(f\/(f*(f\/f**(-1\/2))\/f)))**(-3))**(-21) assuming f is positive.\nAnswer: f**(567\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4942, -19987, -45064, -80173?\n\"Answer: -5016*t**2 + 3*t + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 + 0*h**3 + 5*h**3 + (130 + 5*h - 130)*(-4 + 4 + 2*h**2).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 136757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 282808, 2262545, 7636130, 18100489, 35352548?\n\"Answer: 282821*k**3 - 2*k**2 - 4*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1540\/40*4\/(-28)*-10\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znqqvzzzqzqmmqzv. What is prob of sequence qq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(315\/6))\/(180\/(-6300))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 351141982 to the power of 1\/2, to the nearest integer?\nAnswer: 18739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/31 - 29498\/217. Let p = 1073 + r. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hldlqqllho. Give prob of picking 2 q, 1 o, and 1 l.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2569119 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysykwekekywk. What is prob of picking 1 y and 1 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.58 take away -55427.4?\nAnswer: 55428.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -8*r. Let i(u) = 12*u**2 - 62*u. Let c(q) = 19*q**2 - 96*q. Let x(d) = 5*c(d) - 8*i(d). What is x(n(h))?\nAnswer: -64*h**2 - 128*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141816 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1082453 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 64 = q. Suppose a = -0*a - 5*r - q, 2*r = -a - 2. Suppose 5*j - 72 = -a*u + 48, -5*u - 2*j = -258. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 6:09 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*6.9.\nAnswer: -6.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4166691?\nAnswer: 3, 29, 47, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*k**3 + 21*k**3 + 0 - 2339*k**2 + 4709*k**2 - 2357*k**2 + 1 to l*k**2 + j + g*k**3 + q*k and give g.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -3*b + 15, b + 1 = -0*b + 5*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80260011 and 54.\nAnswer: 160520022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 93512 and -0.425?\nAnswer: -39742.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*a*c*f + a*f**2 + 13*a + 5883*c*f**2 - f**2 + 4*f - 4 wrt c.\nAnswer: 18*a*f + 5883*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 691875 divided by -3\nAnswer: -230625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -15 + 8 + 6 - -4. Solve 3*b + 3*m + 18 = -0, -k*b - 16 = 2*m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*a + 14, 4*a + 7 = -2*g - 5. Suppose 12 = g*i - 4*z, 7*i + 4*z + 4 = 5*i. Solve -i = 5*s - 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507414 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - s)*(2*s**3 - 6*s**3 + 2*s**3) - 3*s + 3*s - 3*s**4 - 5*s**4 + 4*s**4 + 0*s**4 + (-2*s**4 - 1 + 1)*(0 + 0 - 2).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 127944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 - 0.4383\nAnswer: -0.3683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 20*s**2 + 63*s + 432. What is i(-10)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.702023559 rounded to 1 decimal place?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 0*h**3 + 0*h**2 + 0 + 2*h - 1\/12*h**4. Let f(j) be the second derivative of j**3\/6 - j. Give f(c(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h - 15*h + 14*h**3 - 14*h.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emrrupqe. What is prob of sequence pq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11078*m**3 + 11076*m**3 - 31*m + 920*m)*(-3 + 5 + 0).\nAnswer: -4*m**3 + 1778*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 98758006 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2.3, 0.3, 2.7, -4 in decreasing order.\nAnswer: 2.7, 0.3, -2.3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26460 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011811175 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5 - 35*a**4 + 60*a**3 + 20*a**2 - 80*a.\nAnswer: 5*a*(a - 4)*(a - 2)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -173 divided by -4\nAnswer: 173\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*u - 4*v, 33 = 20*u - 3*v - 70 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 7483050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q + 22. What is the remainder when 3\/((-9)\/(-267)) - 3 is divided by f(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 27373 + 27357 + 4*j**2 + j + 4*j**3 as f + n*j**3 + p*j + w*j**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03729663 + 0.038024. What is x rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 0*h - h - 4*h + 4*h - 2*h + (-4 + 2 + 1)*(-3*h + 2*h + 3*h))*(74*h - 155*h + 69*h + 13) as x*h + k + n*h**2 and give x.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 30*a - 17*a + 86504. List the prime factors of a.\nAnswer: 11, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.950927 and -0.1.\nAnswer: -1.2950927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72840575\/763 - 95466. Calculate the common denominator of c and 44\/5.\nAnswer: 3815","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -375050 and -375047 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*(f*f**5)\/f*f))\/f)\/f**(-4\/9)*(f*f\/(f*f\/((f\/(f\/(f\/f**0)))\/f)*f)*f)**(1\/2) assuming f is positive.\nAnswer: f**(-59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 6:52 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 + 4*n**3 - n**3 + (n - 4*n + n)*(26*n**2 - n**2 - 5*n**2) - 8*n**3 + 8*n + 20*n**3 - 8*n to g*n**3 + a*n + k + d*n**2 and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 305 - 274. What is the nearest to c in 2\/7, 3, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*d**2*k*t**3 + 1939*d**2*k*t + 2*d*k*t**2 - 2*d*t**3 - k*t**2 - 91*k*t wrt d?\nAnswer: -214*k*t**3 + 3878*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -583*n - 178.\nAnswer: -583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 720 and 459120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -9*g**2 + 107031*g - 35676 = 0.\nAnswer: 1\/3, 11892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 7*a - 3*a + (2 - 5 + 7)*(4*a - 4*a + 3*a) - 495 + 495 - 743*a.\nAnswer: -729*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79\/234 + -8\/13. Is 0 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/45 (b) -36 (c) -4 (d) 56 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7906?\nAnswer: 2, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*i - 72*i - 363 = 0. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/z**(-1)*z)\/z*z)\/(z*z\/(z*(z\/z**(-3))\/z)*z)*z**(-12\/5)*(z\/(z\/z**1)*z*z\/z**(-2\/7))**43 assuming z is positive.\nAnswer: z**(5036\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9969? (a) 2 (b) 2\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9500)\/19950*9*(-1)\/(-5).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306464 is divided by 102153.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88823, 88576, 88329?\nAnswer: 88082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**7\/13860 + t**6\/1980 - t**4\/12 - 3*t**2. Let a(j) be the second derivative of r(j). Find o, given that a(o) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -216 - -142. Let x = j + 157. What is the remainder when x is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*d - 2*d. Calculate the least common multiple of 28 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40185, 40097, 39949, 39741, 39473, 39145?\n\"Answer: -30*j**2 + 2*j + 40213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497414941?\nAnswer: 11, 136128631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + -6*(sqrt(50) + (sqrt(50) - sqrt(350)\/sqrt(7))))\/sqrt(10)*-1.\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)\/sqrt(3))\/sqrt(4) + sqrt(7))*2)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*j - 389*j = -22*j + 167*j + 32731 for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**9\/12096 + l**8\/4032 + l**7\/1008 - l**6\/144 + 5*l**5\/12 - 24*l**2. Let k(h) be the third derivative of a(h). Factor k(x).\nAnswer: -5*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5796 or 1?\nAnswer: 1\/5796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 8*j**2 - 11*j + 10. Let h be f(9). Let b be h\/24 - (-1117)\/3. Suppose -4*o = 5*w - 417, -2*w = 4*o - 6*w - b. Is 21 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m - 6. Suppose o - 11 + 2 = -3*c, 31 = 3*o + 5*c. Let p = -8 + o. Does 9 divide v(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - 0\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l - r = 0, 3*r - 18 = -3*l. Let h(f) be the first derivative of -2*f**3 + 2*f**2 - 2*f + 2844. Give h(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135009*u - u**3 + 405036*u - 135024*u - 135003*u - 8*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03236 - 2482.96764. Let b = -2486.163 - k. Let p = b - -3.2. Round p to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, t: 5, h: 3}. Give prob of sequence th.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 11 = k, b - 3*k + 15 = 4*b. Suppose b*x = -9 - 12. Let p be 2 - -3 - (7 + 4). Is x > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 4 - (-2 + -2). Suppose 0 = 4*y + 3*h - 2, -h - 2*h + 4 = b*y. Let r be -3*((-14)\/3 - -2). Solve 0 = -y*v - 8, -2 = -k - v - r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 33. Let z be (-25)\/(-2)*((-288)\/g)\/6. Let r = z + 65. Does 8 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) 491 (c) -0.01 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 15, g: 3}. Give prob of picking 3 g.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14041*d**2 + 3 + 8636*d**2 - 3 - 18435*d**2.\nAnswer: -23840*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Product of 4.507 and -0.04.\nAnswer: -0.18028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1\/5 (c) -142 (d) -2\/11 (e) 8\/9 (f) -188 (g) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126301043 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56588060 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/35 + 3\/(3\/2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 6, n: 2, q: 6, i: 1, y: 2}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -2, 39, 1, -3, 16 in decreasing order.\nAnswer: 39, 27, 16, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8738\/19 - 460. What is the closest to 1\/2 in m, -0.5, 2, 27?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/18*(-174)\/(-609)*63\/5.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 162*m - 159*m + 1, 0 = 2*m - 4*n + 10. Which is the second biggest value? (a) -0.06 (b) -55 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from wwgfffgfwffwffw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/19*p**2 + 0*p + 2\/19*p**4 + 0 + 2\/19*p**3 = 0. Calculate p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 2. Suppose 18 = n + 4*b, 0*n + 4*b - 30 = 5*n. Let l be v(n). Let o = 66 - 67. Sort l, 0, o.\nAnswer: l, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*k = 12, k + 1 = -1. Suppose -n + 15 = -w + 6*w, 4*w + 5*n = 33. Suppose w*x + 0*x + q = 0. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (21 - ((-6 - -2) + -1 + 419 + -399)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -53 in descending order.\nAnswer: 4, -6, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 + 6)*42\/9.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 5:03 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u = -158. Let f be u + (-5 - -3 - -2). Suppose -10 - f = -4*b. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -4355?\nAnswer: -4365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 225 - 455 + 230 - 643*y to the form f + t*y and give t.\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(176)*-4)**2 - (2 + sqrt(704) + 0).\nAnswer: -8*sqrt(11) + 2810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2306071 = 794071. Round j to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*x**2 + 829 - 66*x - 829.\nAnswer: -35*x**2 - 66*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.024, 2\/5, 0.01, -39\/8, 5?\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33762108 to the power of 1\/2, to the nearest integer?\nAnswer: 5811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - 3.96. Which is the closest to -1? (a) 3 (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55300733 (base 8) to base 13\nAnswer: -260641c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -19. Let n(s) = -17*s - 8. Let y be n(6). Let j = -47 - y. What is the greatest common divisor of j and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -10 - (-3 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 358 - 558. Let o be (-9)\/(18\/v) - 1. Let m = -65 + o. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 406*u + 104304. Give d(-257).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 878148.7 hours in minutes?\nAnswer: 52688922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -483.28612 times 1\nAnswer: -483.28612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*u = -317*u - k - 12, -3*k = -8*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25346 by 7856.\nAnswer: -12673\/3928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1839 in 2, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30431189086 - -30431188908.00000093. Let v = -47 - -225. Let b = w + v. What is b rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.072 - -22.\nAnswer: 22.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 12*d**4 - 284*d**3 - 96*d**2 = 0?\nAnswer: -1\/3, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 886544429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/2030 and 37\/25375.\nAnswer: 50750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, n: 3, r: 2, o: 2, v: 6}. Give prob of sequence tttn.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6400 times 0.113?\nAnswer: 723.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifod when four letters picked without replacement from {f: 1, y: 2, i: 1, d: 1, j: 1, o: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**5 - 12*l**3 - 180*l**2 + 4*l + 41?\nAnswer: 20*l**3 - 72*l - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 21118\nAnswer: 5\/21118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (17 + 6 + -40).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 586 + 70*l**4 - 820*l**2 + 1646*l**2 + 15*l - 830*l**2 - l - 4*l wrt l.\nAnswer: 840*l**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 2*j + 46, 5*j + 47 + 142 + 1526 = -2*p + 172*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-4) + (-23)\/(-8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 - (-3 - (-5 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -262.31688 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 q when three letters picked without replacement from {y: 1, l: 12, b: 2, q: 2, a: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.9 (b) -2 (c) -7 (d) -2\/11 (e) 19 (f) 25 (g) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 387 = 4*m, -4*m + 4*f + f = -369. Suppose d = 5*d - 4*z - m, -3*z - 93 = -4*d. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6024818 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 31691864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41177643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -498, -203, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -82. Suppose 8530898 = o*h - 1745102. Round h to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r*r)**3\/(r**0)**(-5\/4)*((r\/(r**(-5\/4)*r))\/(r**(1\/3)\/r))**(-10) assuming r is positive.\nAnswer: r**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/26 and 7\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 3:49 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/7 + 22*z\/7 + 48\/7 = 0. What is z?\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 225505135 and -34.2?\nAnswer: 225505169.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -103be (base 15) to base 7\nAnswer: -303041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 108*i**3 - 18*i**2 + 95*i + 57. What are the prime factors of u(8)?\nAnswer: 17, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5*d - 48, 3*w - 81*d + 78*d + 30 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*k + 13, k - 4*k + 2*l = -10. Suppose 4*c - 17 = -4*o - 1, 0 = -c - k*o - 8. Let f = c + -6. What is the lowest common multiple of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.7 - 32. Which is the nearest to -2\/49? (a) -2 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487262504.\nAnswer: 2, 151, 403363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 200\/48*(-3)\/(-10). Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30618 and 5103.\nAnswer: 30618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5065*y - 7325*y + 7286*y in the form m + h*y and give h.\nAnswer: -5104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -9 + (80 - 81).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d**4 - 4*d**2 - 7*d + 4. Let g(h) = -6*h**4 + 3*h**2 + 8*h - 3. Let q(l) = 4*g(l) + 3*m(l). What is the second derivative of q(v) wrt v?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*h - 126. Suppose -p = -0 - 10. What is the remainder when h is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.42 minus 1080308?\nAnswer: -1080299.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c - 141. Calculate the remainder when 310 is divided by b(-27).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r - 18*r - r + 131*r**2.\nAnswer: 131*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*d + 3, 0 = -4*c - d + 433. What are the prime factors of c?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8689291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -5 (b) -3 (c) -2\/9 (d) -720 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 0. Suppose 3*m = z - 2. Calculate the remainder when 8 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**2 + 4*n - 35. Let c(d) = 4*d**2 + 3*d - 34. Determine 4*c(i) - 3*v(i).\nAnswer: i**2 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 0*s + 0 - 1\/32*s**4 + 2*s**2 - 1\/12*s**3 - 1\/240*s**5. Factor g(k).\nAnswer: -(k + 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-17\/5)\/(((g\/g**24)\/g)\/g))\/(g\/(g\/g**9)*g*(g*((g*g\/(g\/g**20))\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00323147 to five dps.\nAnswer: 0.00323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26496, 26495, 26494?\n\"Answer: -z + 26497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17 + 11*k - 5*k - k - 53*k**5 wrt k?\nAnswer: -1060*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3496 rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20693\/48251 + -2\/6893. Let f be (-3)\/(-9) - (-8)\/(-22). Let m = f + -31\/66. What is the third smallest value in 0.5, m, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 280 = 34*t. Let l = -35 - -28. Let k(f) = -f**2 - 7*f + 3. Let c be k(l). Solve 7*j = c*j + t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*h**2 - 95*h**2 - 92*h**2 - 102*h**2 - 1 + 407*h**2 - 90*h to the form b*h**2 + s*h + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -20, 0 in descending order.\nAnswer: 3, 0, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 131551*p**2*z**4 - 29*p**2*z**2 - 17*p**2*z + 241*p**2 + 2*p*z**2 + 11*z**4 wrt z?\nAnswer: 3157224*p**2*z + 264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r = -3*k + 10, 3*k - 2 = 4*r. Suppose 3*s = s + k*v - 2, s + v = -7. What is the tens digit of (-172)\/(-16) + (-1)\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 30*p**2 - 31*p - 53. Let j be u(-29). Suppose -2*i = -5*w + 581, -j*w + 593 = 4*i - 0*i. Calculate the remainder when w is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3470558 divided by -38138?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -8.4, 0.1, -1 in increasing order.\nAnswer: -8.4, -1, 0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 39 = 24. Let t be (4 - p)*(2 - 0) + -1. Solve t*u = 12*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*r + 6. Suppose 1 = 3*u + r. Let q(h) = h**2 + h + 1. Let y(n) = 2*n**2 + n + 2. Let w(s) = 5*q(s) - 2*y(s). Give w(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-15))\/((-3)\/(-117)). Let s be (-2)\/((-2)\/(-1))*n + -4. Calculate the greatest common divisor of s and 594.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 271*d**2*i*n**2 + 2*d**2*n + 15*i**2 - 3*n**2 - 2404 with respect to i.\nAnswer: 271*d**2*n**2 + 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9117 - 9122.097. What is b rounded to one dp?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -100100110011?\nAnswer: 100100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -22. Suppose 31*j - 27*j - 44 = a. Is 2 a factor of j*-4*(-5)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/8 - 9\/((-144)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 15 = l, -107*l = -t - 112*l + 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -489820152.70001212 + 489820170. Let c = p + -17.3. What is c rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/(-22)*1*(-1)\/20?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15504442 (base 6) to base 7.\nAnswer: 4462424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/((-1197)\/(-12)))\/(24\/(-36))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -77. Let z be d*(8\/28 + (-692)\/(-28)). List the prime factors of 100\/z - (-40)\/1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*d*x + 9*b**3*d - 11*b**3*x + b**2*d + 2*b**2 - b*d*x - 53*b*x - 2*x wrt b?\nAnswer: -6*d*x + 54*d - 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17*b + 17. What is a(5)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 177*l + 43 - 43 + 45*l in the form r + u*l and give u.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105926*b**2 - 62656*b + 1 wrt b.\nAnswer: 211852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 15 = -4*s. Suppose 5*a = 3*n + 32558, 2*n - 19437 = -s*a + 13116. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58188585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j**4 - 3 - 2*j**3 + 0*j**3 + 2*j**3 wrt j?\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-2) - 9\/9. Calculate the greatest common divisor of 14 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34443432 (base 5) to base 13.\nAnswer: ac243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 24*o**2 - o - 12. Give p(-4).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o - 7. Let q = 29 + -33. Let v be -1 + (2 + -1)*q. List the prime factors of u(v).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -13.8. Let f = y - -6. Let v = -107\/460 + -2\/115. Which is the nearest to v? (a) 2\/3 (b) f (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 327, -9, 3019 in decreasing order.\nAnswer: 3019, 327, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Let g(o) = 2*o**2 - 5*o + 4. Let m be g(2). Put -0.5, n, 0.5, m in descending order.\nAnswer: n, m, 0.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 881.05, 1, -2\/13, 0.3 in decreasing order.\nAnswer: 881.05, 1, 0.3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from wanaxnaaaxxnaxxnxaxa?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -593, -4795, -16175, -38321, -74821?\nAnswer: -129263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422859*t - 543507*t + 91457*t.\nAnswer: -874909*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 858951 and 722923?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 3981*z - 3954*z. Solve 2*s - 5*t + z = 0, 10 = 2*t + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243 divided by 6.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 35*y**4\/24 + 4*y**3\/3 - 5*y**2. Is s(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47456063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2551cc - 1?\nAnswer: 2551cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1491*z + 3460 = -16333 - 6531 + 3959 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*h**3\/7 - 46*h**2\/7 + 96*h\/7 + 72\/7.\nAnswer: -2*(h - 2)*(h + 6)*(5*h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 746.0983 weeks in days?\nAnswer: 5222.6881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tptnnnnttntnnnjnjnn. What is prob of picking 2 j and 1 t?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*2*(-54)\/27. Let p be (s\/24*4)\/(14\/63). Solve 3*o = -c + 2, 3*c - 3*o + p = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -736 and -61 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 181596*o**3 - o**2 - o + 1 - 181624*o**3 + 0*o as x*o**2 + t*o + l*o**3 + j and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) 5 (c) -11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14 - -2)\/(-3) - 19. Let c = l + 21. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 15347\nAnswer: -3\/15347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -16*h**3\/3 - h - 424. Suppose 4 = 7*a - 3*a. Calculate s(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**5 + 28*x**2 - 28*x**2 - 3*x**5 - x**5 + 2*x**5 + (2*x - x**2 - 2*x)*(-5*x**3 + 46*x**3 - 4*x**3).\nAnswer: -43*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 715, 1503, 2595, 3985, 5667?\nAnswer: 7635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7334428385.43 and -0.24.\nAnswer: -7334428385.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 749785 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14304422334 (base 5) to base 14.\nAnswer: -270100a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 889879 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -43. Suppose 0 = -2*k - 6 - 2. Let m be 2\/4 - 10\/k. Solve 3*n + l = 4*w - 0*n, -5*w - m*n = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*3 - 11\/(-12)*-4. Let w = 119\/3 - 40. Let l = 0.04 + -5.04. What is the nearest to 2 in r, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/3 + 68*m**3\/3 + 72*m**2 - 9072*m + 77760.\nAnswer: -2*(m - 18)**3*(m + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.705 meters in kilometers?\nAnswer: 0.791705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 5. Let p be (-81)\/(-4) + (-2)\/8. Let x = p + -14. What is the units digit of w(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45\/943142 - 99574810493\/4244139. Let u = 23469 + r. Find the common denominator of -89\/6 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 71. Suppose -15*g + u = -13*g. Suppose -3*t + 2 + g = 0. What is the remainder when 38 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1540787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 637, 1235, 1833, 2431, 3029?\nAnswer: 3627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2538)\/4 - 7)*8\/(0 - -4). Which is bigger: -1284 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 13 + 2. Suppose -5*v - k*r - 12626 = 0, -4*v - 2*r - 10096 = 2*r. Does 13 divide v\/(-28) - (-2)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 3 + 6\/(-3). What is the remainder when 11 is divided by 3\/12 + 23\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-11 + 13)*2. Suppose 4*r - 24 = g - 3*g, 5*g - r = 16. Solve a = x*a + g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (112*u + 2063*u + 2216*u)*(3 - 1 - 1) - 1 - u + 1 to the form g*u + h and give g.\nAnswer: 4390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.81 - 9. Let q = 364516.73 + -364517.91999864. Let x = q - m. What is x rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 269231*t + 269228*t + 29, 0 = 3*t + 9 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7344174 nanograms to grams.\nAnswer: 0.0000000007344174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 19501921964498?\nAnswer: -19501921964497.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18258.35 times -391\nAnswer: -7139014.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*24\/(-9)*(-1350)\/(-600)*266\/(-42).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2384 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*t**3 + 2*t**3 + 8*t**3 + (t**2 + 0*t**2 - 2*t**2)*(-4*t + 4*t + 3*t).\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.6 (b) 3\/2 (c) -37\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 10:16 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:31 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.64 + 0.74. Which is the smallest value? (a) -1\/4 (b) 0.05 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 8:07 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15020467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = -12. Let z(v) = 23*v - 2 + f + 13 + 2*v. What is the tens digit of z(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 26, -37?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(-2*t + 2*t + t)*(-2*t + 2*t - 3*t**2)*(2 + 2 + 3)*(1 - 2 - 1).\nAnswer: 126*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 - -171. Let i(y) = -y**3 - y. Let f(m) = -5*m**3 - 3*m**2 - 13*m + 9. Let c(q) = f(q) - 6*i(q). What is the remainder when r is divided by c(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116140)\/243894*(-12)\/(-70).\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2265025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/21*6*3\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 16 = 4. Let x = 3 + s. Let f be x - (-1)\/(-2)*-5. Which is the third biggest value? (a) -3 (b) -2\/11 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371123.\nAnswer: 131, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1 - 15*b**2 + 0 - 2*b + 162*b**2. Let m be o(-1). Suppose 26 = 4*r - 3*r + 4*i, -4*r - 5*i = -m. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/13)\/(i\/((i*i*(((i\/i**(-7))\/i)\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(64\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19193464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -39, -32, -11, 30, 97, 196, 333?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 12*s - 101. Determine k(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1680807059?\nAnswer: 14683, 114473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5775798, -5775812, -5775826, -5775840, -5775854?\n\"Answer: -14*y - 5775784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 11 = -0*u + m, -3 = 4*u - 3*m. Suppose -j = -u*x - 12, 48 = 3*j - 0*x - 5*x. Suppose -3*s = -h + 26, j = h - 0*s + 2*s. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 9. Let m be v(-22). What is the nearest to m in -2\/5, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.7 - -0.7. Let n = 3 + -4. Which is the closest to n? (a) -2\/3 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y + 7*y - 24*y + y + 4*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20.3 and -466163?\nAnswer: 466142.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 701799853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q**2 - 4*q - 3. Let d be f(4). Let s be 81\/24*(-98)\/3. Let l = s + d. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8205 = g - 3*n, 5*g = -n + 41031. List the prime factors of g.\nAnswer: 2, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 46442?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10593 and 321.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033735 rounded to four decimal places?\nAnswer: -0.0337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2174 divided by 1087\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = d - 21. Find the common denominator of -139\/12 and ((-98)\/54)\/(d + 21\/(-9)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 2*p**2 - 5 + 3*p + 3\/2*p**3 + 1\/12*p**4. Let q(u) be the first derivative of w(u). Calculate q(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 11*g**2 + 8*g - 18. Let z be k(-10). Suppose n = -2*y - 56, -2*n + z*y - 112 = 5*y. Let a = -54 - n. Solve 14 - a = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2 - v - 5 + 0*v. Let b be k(-6). Solve 1 = n, b*n + 2 = -4*y + n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1118633 and 1165?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzyrsrc. What is prob of picking 1 w, 1 r, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 - 2 - (-15 + 14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (0 + -2 - -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 136*q**2 + 3754*q - 92. Give y(-28).\nAnswer: 1420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/6 - 2*o\/3.\nAnswer: o*(o - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*x + x = -4, 0 = 4*g - 5*x - 7. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.868814 take away 3.7481?\nAnswer: -1.879286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 14 = -0*b. Let t be -1 + 1 - 0\/(-1). Suppose t*f - 4*m - 12 = -f, 0 = -5*m. What is the remainder when f is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdddwwwdwwwdwwwwwdw. What is prob of sequence dwdd?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1515326, 1515316, 1515298, 1515272, 1515238, 1515196?\n\"Answer: -4*c**2 + 2*c + 1515328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 990 + -986. Which is the nearest to -0.1? (a) z (b) -19\/9 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/2457*5019*6\/16. What is the nearest to 1\/4 in 2\/11, -2, l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148715, 148737, 148759, 148781, 148803?\nAnswer: 148825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1157264021.\nAnswer: 23, 50315827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - 180*q - 384. Let z be n(-48). Calculate the greatest common divisor of z and 576.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/12 - (-85)\/((-765)\/(-108)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/(-45))\/((-51)\/(-17)*2\/9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + 67 - 11 - (-72 + 1) - (4 + -1).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*((y*y\/y**4)\/y)\/y*y))**29\/(y**(-5)*y)**48 assuming y is positive.\nAnswer: y**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 87857?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 1 - -4) + -1 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**2 + 4*a - 4. Let o be -3 - (3\/2)\/(6\/4). Let x(z) = z**2 + z - 1. Give o*x(i) + k(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + 2 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 15*b**2 - 8*b - 17. Let y be n(-7). Let c be y\/26*(15 - 28). Sort -3, -1, -55, c.\nAnswer: -55, -3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 15*m**2 + 22*m + 272. Let h be i(9). Put h, 4, -190 in ascending order.\nAnswer: -190, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1775, 1562, 1345, 1124?\n\"Answer: -2*n**2 - 207*n + 1984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 7722120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.237435857 to three decimal places.\nAnswer: 0.237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**2 - 545*h + 5941. What is y(-119)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 12:52 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3692 and 130?\nAnswer: 18460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 1)*(-n - 2*n + 2*n)*(16*n - 5*n - 5*n) + 2*n**2 - 2*n**2 - n**2 to the form w*n**2 + g*n + y and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5874 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 226\/5*(-30)\/(-12). Let r = x - 52. What are the prime factors of r?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from {d: 3, k: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 4*r**2 + 8*r + 11. Let y be k(-8). What is the derivative of y*t - 95*t - 98*t + 28 wrt t?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - sqrt(104)*1)*1 + 4*sqrt(104)*-1)\/(2*(sqrt(968) - (sqrt(968) + 1*sqrt(968)) - ((sqrt(128)*2 - sqrt(8)) + sqrt(8)))).\nAnswer: 2*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100328.\nAnswer: 2, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3213*o**3 - 265*o**3 + 4599*o**3.\nAnswer: 7547*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97572863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 - 63. Let x = p + -34. Is 1 + (-1 - x) + 795 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25633 is divided by 287?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 21. Sort -1\/2, -3, i.\nAnswer: -3, -1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13791556 to the power of 1\/3, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3908.206916945 from 0.02.\nAnswer: -3908.186916945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -813\/32626 > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77))\/sqrt(11) + -1 + sqrt(7) + 0 + sqrt(7) + sqrt(35)\/(sqrt(5) + 2*sqrt(5)) + -4.\nAnswer: -5 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b + 14. Let h be s(-6). Let q(k) = -10*k + 3. Let f(t) = t. Let g(x) = h*f(x) - 2*q(x). What is g(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -20*i**2 + 675*i + 3792. Give j(-5).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1 (b) -0.02 (c) -0.8 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 261246849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1535994 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - -41. Let w = n - 50. Let r be (-13)\/(w\/(-18))*(0 - -1). What is the third smallest value in 2\/5, 2, r, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/2, 263, 2\/5, 14, 3 in decreasing order.\nAnswer: 263, 14, 3, 2\/5, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 10\/9, 1\/4, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1749301, -3498612, -5247923, -6997234, -8746545?\nAnswer: -10495856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171845877 to the power of 1\/2, to the nearest integer?\nAnswer: 13109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/6? (a) -14\/9 (b) 1 (c) -219 (d) 11 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3. Let d(r) = 2*r. Let o be d(b). Solve -o*h = 2*p + 2 - 4, -3*p - 5*h = -9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2689, 7432, 14229, 23086, 34009, 47004, 62077?\nAnswer: 79234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28826471?\nAnswer: 173, 166627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - 5*o - 17. Is 14 a factor of j(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*n - 15 + 45, 4*n + x = 53. Find the second derivative of -2*i**2 + 9 - 8*i**2 + n*i - 9 wrt i.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from dllhlllll.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 1)*(4 - 7 - 28)*(c - c + c) + (24*c + 44*c - 32*c)*(-3 + 2 + 6) to n*c + d and give n.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -9713 bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 575*d + 1154*d - 581*d)*(2 - 1 - 2 - 4*d).\nAnswer: 8*d**2 - 66*d - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*j - 8, 5*y = -5*j - 8 - 12. Put j, -8, 4 in descending order.\nAnswer: 4, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 415967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11741 (base 9) to base 6\nAnswer: 100314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 0 + -3)*-2 + -4*(sqrt(363) + sqrt(363) + -1 - sqrt(363)) + 5*(sqrt(363) - sqrt(363)*2) + 5)**2.\nAnswer: -3630*sqrt(3) + 44148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2877*u - 8629. Determine i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 102, -12, -164, -324, -462, -548, -552, -444?\n\"Answer: 5*m**3 - 49*m**2 - 2*m + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-3 + -75*182\/(-42). Calculate the greatest common divisor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/10)\/x**(-1\/10)*(x*x**(-7)\/x)\/x*x*x**3\/x)\/((x**2)**(-6\/7)\/(x**(-2\/9))**18) assuming x is positive.\nAnswer: x**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 12:06 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 1:24 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -10. Let i = -0.2 - -0.5. Which is the third biggest value? (a) s (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5602, 5060, 4518, 3976, 3434, 2892?\nAnswer: 2350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**2 + z + 1. Let r be q(-1). Let b be (-3)\/(-1*(1 - 0)). Suppose -20*t + 21*t = 2. Solve -r = 5*i - b*d, 3*i + 5 + 0 = t*d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 173. Let a(y) = 2*y - 348. Calculate -2*a(c) + 5*t(c).\nAnswer: c - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -253737, -253252, -252761, -252264, -251761, -251252, -250737?\n\"Answer: 3*q**2 + 476*q - 254216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 11 = -5*n - 3*z, n = 2*z + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*n - 1162 = -2620 - 1126 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 253 = -16*m. Solve p - 1 - m = 5*z, z + 3 = 3*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*f**4 - 5)*(-1 + 7 + 0)*(0 - 4 + 2)*(1 - 2 + 2)*(1 + 0 + 0)*(-51 + 71 + 184).\nAnswer: 7344*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1 - 6*w**2 + 3 + 3*w - 5 + w**3 - 3 + 7. Let z(m) = -2*m - 5. Let v be z(-5). What is k(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g**2 - 4*g**2 - g**2)*(-2*g + 3 - 3) - 2*g**3 + 2*g**3 + g**3 as s*g + m*g**2 + d + b*g**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 292 = 5*x, n = -0*x + 11*x + 6*n + 560 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 21*g + 14*g - 1512 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 860 + -863. Put 0.3, -1\/3, r, -40 in ascending order.\nAnswer: -40, r, -1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4648?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12203212 (base 4) to base 13\nAnswer: -c2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 5*m**2 + 2*m - 4. Let i be f(5). Suppose 7*y - 9*y + i = 0. What is the least common multiple of 1 and (-14)\/(-12) + y\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 546.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11111001101110110001 (base 2) to base 12\nAnswer: 413b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/9 - i**4\/9 + 2*i**3\/9 + 2*i**2\/9 - i\/9 - 1\/9.\nAnswer: -(i - 1)**2*(i + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (sqrt(5) - (sqrt(5) + sqrt(15)\/(sqrt(3)*2)))**2 + -2*(sqrt(60)\/sqrt(6) - sqrt(10))\/sqrt(2)).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -10, -6, 2 in decreasing order.\nAnswer: 5, 2, -1, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (370\/(-4) - -25) - -4*(-6)\/16?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1155\/11)\/7*21\/(-644)*104\/117.\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494565474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Let k(m) be the first derivative of m**5\/60 + m**4\/12 - m**3\/3 + 5*m**2\/2 - 2. Let y(c) be the second derivative of k(c). Calculate y(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.9. Let f = 0.26 - -12.74. Let v = f - 8. What is the third biggest value in 4, o, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 48*f + 3. What is j(-25)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -392 - -385.38. Let p = z - -0.556. Let y = p + 6. What is y rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 3*t - 9. Let k be f(3). Solve 0 = -12*v + 15*v - 2*z - 18, k = -v + z + 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-3))\/w**10)\/((w\/(w*w**(-7)))\/w**(-6)))**(-5\/6) assuming w is positive.\nAnswer: w**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + -2)*2\/(-77).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, g: 1, r: 2, b: 5, a: 1}. Give prob of picking 1 a, 1 h, and 1 r.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 448126.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - -287?\nAnswer: 2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2 + 2)*(-2*n - 2*n + 3*n) + 2*n**2 - 3*n**2 - 5*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 3. Let q be y(-2). Let m = 5 + q. Suppose 0*i - 2*i = m. Is -6\/13 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3113812 (base 9) to base 2\nAnswer: -110010101111100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {w: 2, a: 1, p: 1, r: 2, u: 4, o: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 44\/33*(-9)\/(-2). Solve 0 = -2*d + o + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-seven halves of a centimeter?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - 10 - 9*o + 0 - 2*o**4 + o**3 - 2*o in the form l*o + h*o**2 + m + z*o**4 + t*o**3 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2 + 2*v + 6*v - 4*v. Let i(n) = n**2 - 7*n + 8. Let f be i(6). What is l(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13971396899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*d - 5, -4*c - 2 = 2*d - 3*c. Which is greater: d or 1\/201?\nAnswer: 1\/201","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*s + s. Let a(p) = 5*p - 4. Let r(f) = 8768*f - 144. Let o(y) = -666*y + 11. Let j(g) = 79*o(g) + 6*r(g). Determine s*j(v) + 4*a(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -398.59 rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/18)\/(2\/(-33)). Suppose 0*z + q = z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -345\/7 >= -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)*j**(1\/16)\/j)**(-13\/6)\/((((j*j\/(j\/((j*j\/((j**7\/j)\/j)*j)\/j*j)))\/j)\/j*j**(-3))\/((j**(-2\/7)\/j)\/j**(-2))) assuming j is positive.\nAnswer: j**(8789\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034443 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.25? (a) 9 (b) -3\/7 (c) -1 (d) 202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1600 and 3147230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*p - 2 = -22, -4*f - 2 = -5*p. Let d be (f - -4 - 3) + 2. Suppose d = 3*a - 0*a - 9. 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 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2797717389.\nAnswer: 3, 932572463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -767, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k**2 - 4*k**2 + 2*k**2 + 11 + k**2 - 11 + (2*k + 1 - 1)*(5*k + 4*k - 4*k) to r*k + d*k**2 + i and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28350037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t + 2. Let k be a(2). Suppose 2*v - k = -2*v. Let c(z) be the first derivative of z**2\/2 - z + 1. Determine c(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -23. Let v be (1 + -11)*j\/2. Let w = -2.2 - -2. Sort -2, v, w in decreasing order.\nAnswer: w, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9*h**2 - 22*h + 1. Let q(l) = 47*l**2 + 49*l + 6. Let m(x) = 9*x**2 + 10*x + 1. Let y(r) = 11*m(r) - 2*q(r). Let p(n) = 4*b(n) + 7*y(n). Give p(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3760 and 47000?\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 3*l - 18. Let j be y(-5). Let z be (-1)\/1*0*2\/j. Suppose 5*k + w - 72 = 29, z = 2*w + 8. Calculate the least common multiple of 30 and k.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1597 (b) -0.11 (c) 3 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2\/543 (c) -2\/11 (d) -1\/12 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 0*w + 22*w**2 - 105 - 38\/3*w**3. What is the second derivative of d(z) wrt z?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*w**2 - 4*w**2 + 13*w**2 + (-1 + 2*w + 1)*(330 - 330 - 8*w) to the form r*w**2 + f + j*w and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8*z - 3. Calculate n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 e when four letters picked without replacement from {q: 6, e: 13}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127073 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 76*j - 2. Is m(1) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 7:07 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 28*m - 24*m + 7, 55 = -5*p - 60*m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 256 and 6464.\nAnswer: 25856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 5*h - h**2 + 35*h as p + w*h**2 + b*h and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.13547 grams in nanograms?\nAnswer: 36135470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-22)\/16) + (-45)\/(-264). Suppose -16\/11*u**2 + 0 - t*u - 4\/11*u**4 - 14\/11*u**3 = 0. What is u?\nAnswer: -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 0*x + 2*x + 83 - 3*x. Is i(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6212127 to the nearest integer?\nAnswer: 2492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -16 (c) 0.4 (d) -1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 81*w + 30. Let v be k(26). Let m = -781 + v. Suppose 0 + 9\/4*y - 3\/2*y**2 + 1\/4*y**m = 0. What is y?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 4*d - 30, -d = 52 - 59 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47933, -47919, -47905, -47891?\nAnswer: -47877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.304, 12\/13, 5?\nAnswer: -0.304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1277 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 0, 11, -5, -4 in ascending order.\nAnswer: -64, -5, -4, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (378420\/(-9275))\/(7\/(35\/(-6)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 788*f - 796*f + 1816 = 0. What is the remainder when f is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*8\/30*2343\/(-2). Let p = -935 - g. What is the greatest common divisor of p and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19912 + 30959. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9338941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 0, 4, 10, 18, 28, 40?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -16, 46, -1 in descending order.\nAnswer: 46, 7, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 775*g**2*s*y**3 + 4*g**2*s*y**2 - 2*g**2*s + 2*g**2*y**2 - 24702*g**2*y + 4627*s*y**3 + s*y**2 wrt y?\nAnswer: 4650*g**2*s + 27762*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 8*t + 4*t**2 + 37 + 4*t**3 + t**2 - 3*t**3 - 56 + 5*t**2. Give z(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -43*f**2 - 1. Let n(a) = 28*a. Give n(x(p)).\nAnswer: -1204*p**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 5:04 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-13))\/((q*q**6*q)\/q)*q**(-2\/63)*q**(-9) assuming q is positive.\nAnswer: q**(-65\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0549 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (21 + (0 - (-14 + 13)))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 6*a + 6*a)*(0*a + a**3 + 0*a) - 10*a**5 - 5*a**5 + 22*a**5.\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2121515 or -2121517?\nAnswer: -2121517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 2*m + 3*m + (-1 + 2 + 2)*(-m + 2 - 2 + (m + m - m)*(0 + 2 - 4) + 3*m - 5*m + m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64755004 and 59839.\nAnswer: 4603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l + l + 7 - 6 + (6 + 0 - 2)*(3*l - 3*l - l).\nAnswer: -10*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i\/i**2))\/i*i)**(-1\/12)*(i*i*i*i\/i**(-4)*i)**(-2\/23) assuming i is positive.\nAnswer: i**(-95\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 9 (c) 1 (d) 5772\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -7 - 3) + (-1 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -1\/4, 4.1?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 445 + -444.065. What is w rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -0.020071.\nAnswer: -0.220071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 182*h - 48*h**2 - 104*h - 80*h in the form q + c*h + l*h**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -296*m**2. Let s(g) = -482663 - 25*g + 482663. Give q(s(k)).\nAnswer: -185000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, n: 1, t: 1, w: 1, p: 6}. What is prob of picking 1 p and 1 t?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a = -9*a + 312 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/((-1)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7460 - -50487. Suppose 86009 = 4*d + j, 2*j = -2*d - 3*j + g. Suppose -x + d = 8*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 43, 76, 131, 214, 331, 488?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4*k + 104, 3*r - k - 72 = -2*k. Suppose -25 + 91 = 11*f. Calculate the remainder when r is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 not equal to -30335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - j + 5075, -5*y - j + 8758 - 299 = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 3*n - n)*(-1 + 1 + n) + (-36*n - 12*n + 5*n)*(11*n - 17*n + 25*n) as t + c*n + x*n**2 and give x.\nAnswer: -819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211694.\nAnswer: 2, 7, 15121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*m + 3. Let h(i) = 4*i**3 - 3*i**2 + 41*i - m*i**3 - 40*i. Let n be h(2). Which is smaller: -5\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 77*g + 221. Let l be n(74). Is 11\/115 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*m, n = -21*m + 14*m + 81901. Is n a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 < 3\/182416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -15*h**2 - 90*h + 35. Let w = 567 + -573. Let d(b) = 14*b**2 + 92*b - 33. Let i(s) = w*n(s) - 5*d(s). Find l, given that i(l) = 0.\nAnswer: -9\/2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.021 times 25400.6\nAnswer: 533.4126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 1. Let n(l) = -l**2 - 4*l - 2. Let o(u) = -2*d(u) + n(u). Let s be o(-5). Let a(q) = -4 + 3 + s - 2*q. Let z(g) = 5*g. Give z(a(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 2, q: 1, i: 3}. Give prob of picking 1 e and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from jmm?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n. Let q be u(-2). Suppose 3*t + 35 = -7. Let c = q - t. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1230215.4113 and 5.1.\nAnswer: 1230220.5113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -21. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 7*m**4 + 71*m**4 + 286*m**4 + (-1 + 1 + 1)*(2*m**4 + 2 - 2) in the form x*m**4 + f + v*m**2 + p*m + n*m**3 and give x.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 86\/(-8) + 24\/32. Let c be (-1)\/k*4\/1. Factor 1\/5 - 4\/5*z + z**2 - c*z**3.\nAnswer: -(z - 1)**2*(2*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 26*v = -14582 + 14288 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-24)*56\/105\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (21 + 2 - 3) + -1 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 3*p - 8, 5*t + 14*p - 10 = 19*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6413 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 less than -2019\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001625218 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qarzazqzkzzazkazk. What is prob of picking 1 q and 1 k?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1091008 by 68188.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81152272283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 65. Suppose i = 3*u + 4*n, -u - 8 = 5*n + 5. Solve -5*f + 8 + u = -4*z, 0 = -5*f - 2*z + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40 - -45)*(-3)\/(-9)*9\/165. Let l = -8 + 11. Sort -0.1, b, l in descending order.\nAnswer: l, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.46 - -0.0212\nAnswer: -0.4388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.95 * 9\nAnswer: 8.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + g + 4. Determine n(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17557301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 13*j**3 - 3*j**3 - 3 to the form g*j + q*j**2 + x + w*j**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 1 - 12 - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (473 - 484) + (12 - (-3 + 3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/499 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 276906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**4\/4 - 18*w. Let k(h) = 11*h**2. Give b(k(d)).\nAnswer: -363*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyytybyryyyyyy. What is prob of picking 1 r and 1 t?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(7\/4) - (-2640)\/220?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*-1*sqrt(99)*-5 + 2*(-1 + sqrt(176) + 1)**2 + 4.\nAnswer: 356 + 450*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485 is divided by 314.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -717*c**4 - 814?\nAnswer: -2868*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 15. Let x(v) = -v**2 - v + 0*v - s*v - 1. Give x(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.26 - 27. Let z = -0.265 + w. Round z to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 2842?\nAnswer: -2837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o + 1. Let s be f(2). Suppose -5*l + 5*n - s = 0, l - 2*n + 5 = -1. Let u be l - -3 - 6 - -27. Round u to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-5 - -3 - 2 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -2 - 0\/1)\/2. Suppose m = -k + 2*k + 21. Let f = 41 + k. Calculate the remainder when 38 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12804\/(-1455))\/((-6)\/45*-16 + -1 + -1).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 2*j**2 + 2*j. Let l(n) = -3*n**3 + 5*n**2 - 5*n. Determine -4*l(p) - 10*o(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 3*r + 1. Let x(u) = u**3 - 6*u**2 - 2*u + 7. Let c be x(6). What is the remainder when (c\/10)\/((-2)\/84) is divided by z(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4741549.\nAnswer: 809, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3))**(-42) assuming u is positive.\nAnswer: u**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020951 rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3400 - -3?\nAnswer: -3386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 5. Is u(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**3 + 19*s + 5. Suppose 0 = -11*y + y + 80. Is i(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((6*(sqrt(96) + -1*sqrt(96)))\/sqrt(6))\/(-4*2*sqrt(72))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/15 + -2)*4*(-3)\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701160189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6062419648?\nAnswer: 2, 3931, 24097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23058 take away -7?\nAnswer: 23065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(((-12)\/(-18))\/(12\/(-45))). Let j(x) = x**3 - x**2 - x. Calculate j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35128\/17171 - -1\/3122. Find the common denominator of 3 - 4\/(-24)*-129 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -52.9999827. What is r rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -39 - 9. Let d be 0\/(5*(-9)\/(-15)). Suppose 5*g + 2*m + m - 378 = 0, d = 4*m + a. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 434 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o - 3*o)*(0*o + 0*o + 4*o**2) - o**2 + 2*o**3 + o**2.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110191 and 44844?\nAnswer: 48924804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00720255733 rounded to 6 decimal places?\nAnswer: -0.007203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -d - 10*w + 15*w, -3*d - 5*w = -4. Sort 24, -1, d, -3 in decreasing order.\nAnswer: 24, d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1300 + 1304. What is the fourth smallest value in c, 0, -0.34, 1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-347 - 93 - 128 - 94 - 369)*(9*f**3 - 51*f**4 + 97*f**4 - 44*f**4).\nAnswer: -2062*f**4 - 9279*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 6) + -3 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3753 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 33. Let q(z) = -z**2 + 22*z - 73. Let b be q(17). Suppose -20*y + b = -t*y. What is the greatest common divisor of y and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/13 - 21894*u**3 + 38397024*u**2\/13 - 1351266840*u\/13 + 3715911936\/13 = 0.\nAnswer: 3, 66, 142176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 1:07 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -77 (c) 4 (d) -112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19424072 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/9 and -65\/49389.\nAnswer: 148167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.17 (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**4 + 63177*p**3 + 11126*p**2 - 3*p wrt p.\nAnswer: -24*p + 379062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1, 5, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 522*h**3\/5 + 417*h**2 + 1554*h\/5 - 9\/5 = 0.\nAnswer: -3, -1, 1\/174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11753.211*-1.5\nAnswer: -17629.8165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 9 - 9)*(0*s + 0*s - s).\nAnswer: 33*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3 (c) 0.3 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 - 6*w + 6*w)*(-3*w + 3*w - 2*w)*(0*w - 3*w + 5*w).\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*y - 3 = 0, 2*y - 26 + 8 = -4*v. Which is the closest to -0.1? (a) -2\/3 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 + 552. Calculate the greatest common divisor of z and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244962, 244921, 244856, 244767, 244654, 244517, 244356?\nAnswer: 244171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*f + 5*t, 2*t = -0*t. Suppose -3*d + 528 = 5*p, -p - 311 = -4*p + f*d. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (2 - -3 - -4). Let u(t) = t - 4. Let m(q) = -1. What is p*m(d) - u(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -213, -3, 0, 186.\nAnswer: -213, -3, 0, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 3*z + 1. Let k be c(-2). What is the second derivative of -5*g - 3*g**3 + 0*g + 8*g**k wrt g?\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - 3*w - 14*w - 2*w)*(2 + 0 + 0).\nAnswer: -48*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(sqrt(204) - (sqrt(204) + -2*sqrt(204)*4 + sqrt(204) + sqrt(204))))\/(sqrt(144)\/(sqrt(12)*1*2)))**2.\nAnswer: 156672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 122936 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 4*o + 3. Let n be z(-2). Let k be 13\/(-3) - n\/3. Let l = -1.08 - -0.08. Which is the closest to 2\/3? (a) k (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**3 - 2*d**3 - 5*d**2 - 3*d**3 + 4*d**3 - 2 as x*d + f*d**2 + t + m*d**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -160*-35*(-33)\/(-11550)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185467467?\nAnswer: 3, 17, 3636617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 481.8141 minutes in nanoseconds?\nAnswer: 28908846000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + -10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 25 = -b + 3, b = -122*s + 123*s + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 69 = 5*d. Let a(s) be the first derivative of s**4\/2 - 2*s**3\/3 + s - 8. Let p be a(-2). Are p and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -45.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2448 and 83232?\nAnswer: 83232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five quarters of a gram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 164756\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -32. Let g = 16 + -40. Let t = p + g. Which is the nearest to -6\/5? (a) 5\/6 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 6, -m + 3*z - 34 = -6*m. Let u = 119 - m. What are the prime factors of u?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g + 7. Let x be l(2). What is the biggest value in x, 0.1, 2\/11, -1\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 g when four letters picked without replacement from qqgwgggxbx?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smss when four letters picked without replacement from sasllttmqts?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 49. Let k be 2\/g*(-5 - -5). Let i be (-1 - 5)*(3\/1)\/(-6). Solve k = -i*m + 4*j - 1 - 3, 5*m = -2*j + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202622256 to the power of 1\/2, to the nearest integer?\nAnswer: 14235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3339\/147 - ((-6)\/(-39) - 80\/182)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 1000*h - 11038. Determine y(-11).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-150)*5\/2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from {m: 2, u: 1, r: 1, f: 2, b: 1, x: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 831 + 0 + -2 + (-3 - -3). Suppose s - 4531 = -2*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 111, 218, 351, 504?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 3, -75 in decreasing order.\nAnswer: 5, 3, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1149 + -1141. Suppose -216 = -4*h - 4*v, 7*v - 3*v + 8 = 0. What is the highest common divisor of l and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/47 (b) -21 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72952*s**2 + 131412 wrt s?\nAnswer: 145904*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (78 - -7) + -1 + 0 - -3. Suppose -3*x = -p - 6. Suppose -4*q - x = -103. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*j + 62 = -176*j - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3) + 0) + 1 + sqrt(27) + sqrt(3).\nAnswer: 1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50\/(-20)*12\/(-15). Suppose 5*r - o*q - 13 = 5, 4*q = r. Solve r*m + 0*m - 30 = -5*k, 2*k + 16 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (154 - 144) + (1 - (1 - 7 - 1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 11*z - 4. Suppose -v - 3*c - c = -9, 0 = -2*v - 4*c - 2. Let q = 32 - 31. Let b(l) = 4*l - 15*l + q + 9*l. Calculate v*b(g) - 2*a(g).\nAnswer: 2*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1520960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5810 + 5813. Solve -8*o + g*o - 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3566*a + 6529*a - 2967*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7262? (a) -2\/23 (b) -3 (c) -2 (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + sqrt(35)\/(sqrt(15)\/sqrt(3))*-5)**2 + (1*sqrt(3500))\/(-3*sqrt(80)).\nAnswer: 235*sqrt(7)\/6 + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3286*z + 1485269. Calculate n(-452).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2. Let x(t) be the second derivative of 0*t**2 + 1\/3*t**3 + t + 0. Give l(x(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8aa78a (base 12) to base 16.\nAnswer: -21d1da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 41*q**3 - 13*q - 12. Calculate r(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -18 + 15*k - 5*k + 0*k + 2*k**2. What is the units digit of v(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(3*-4)\/3. Let q be (r\/6)\/((-8)\/6). Let o = 0.22 - 0.52. Which is the closest to 0? (a) q (b) 2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31036 - 31004.774. Round u to 1 dp.\nAnswer: 31.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 27*k**3 + 2*k**2 - 2*k + 1. Determine s(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7475.0021 plus -1.2?\nAnswer: -7476.2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2947164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -660 - -732. Which is smaller: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63.481 + 1.481. Which is the third biggest value? (a) 0.7 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 - 182. Let a = z + 355\/4. Suppose 4*n = -3*u + 5, u = -2*n + 5 - 4. What is the biggest value in a, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 91*s**2 - 332*s - 85. Is d(-32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 1755803?\nAnswer: 8779015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*j + 565, -3*j - 2*j + 461 = 4*l. Suppose 2*q - 5*d = 178, -5*d + l = -4*q + 450. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -2.7. Let x = -229 + 457\/2. What is the biggest value in k, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, v: 1, f: 4, q: 10}. Give prob of sequence bfqq.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfepjfff. What is prob of picking 2 f and 1 b?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/2*(-16)\/14. Solve -b - 4*u - 31 = a*b, -4*b - u = 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987.0341 milligrams to micrograms.\nAnswer: 987034.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**3 - 219*h**2 - 5*h - 10. Let r(j) = 2*j**3 + 109*j**2 + 2*j + 4. Calculate -5*r(c) - 2*s(c).\nAnswer: -2*c**3 - 107*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39465387*p**2 - 108810*p - 75.\nAnswer: -3*(3627*p + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122361989 to the power of 1\/2, to the nearest integer?\nAnswer: 33502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u - 19*u + 10*u.\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h*i*n**3 - 2*h*i + 77*h*n - 90*h + 2*i*n wrt n?\nAnswer: 3*h*i*n**2 + 77*h + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**4 + 16*b**3 - 48*b + 11 + 8*b**4 - 8*b**2 + 25 + b**4 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + 2*sqrt(1900) + -5 + -2*(sqrt(1900) + -5 + 0 + sqrt(1900))))**2.\nAnswer: -4000*sqrt(19) + 190400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1216 - -1219. Solve 4*z + 0*g = j*g - 17, -22 = 4*z + 2*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**3 - 12*c**2 + 8*c + 15. Is b(5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 487 divided by -9319\nAnswer: -487\/9319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 2:43 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.22 - -5.78. Let d = -0.46 + 0.36. Which is the second smallest value? (a) -4 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 9*f**2 - 10*f. Let n be d(-8). Suppose -244*s + 249*s - 465 = 0. Let t = s - n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2 - v. Let t(w) be the third derivative of w**5\/3 + 5*w**4\/24 - w**3\/6 - 3366*w**2. What is -9*a(s) - 2*t(s)?\nAnswer: 5*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 2.06?\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594130 = 5*a - 31510460. Let m = 14569311 - a. Suppose 7213955 = 3*u - m. Round u to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -6. Suppose -5*c + y = -0*c. Suppose 4*t - 6*t = 4*q - c, 3*q = -t + 9. Solve 7*d - t*d = -20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 79\/354 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.19 + -84.81. Let n = m - -85.5. Suppose 0 = 3*c - c - 4. What is the biggest value in 0.1, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t)\/(t\/t**(-8)))**35*t\/t**(-9)*t\/(t\/t**(-5))*t**(-1\/3)*t*t\/(t\/(t\/(t\/((t*t**(-2\/7))\/t)))) assuming t is positive.\nAnswer: t**(-5032\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4.2. Let t = i - 0.2. Let h = t - 0.2. What is the closest to 1\/3 in h, 4\/5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 6 = -2*y + 4*f, 0 = 2*y + 3*f - 20. Suppose y*i = -i. Solve i = 2*v - v - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16910 by -8455.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 11:50 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 3*s**2 - 2*s**2)*(97 - 640*s - 97).\nAnswer: 1280*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/969 - -80203\/27132. Calculate the common denominator of h and 137\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1721179 and -2.2?\nAnswer: 3786593.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7507889 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 84\/15) + (12 + 10 - 20)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398768654?\nAnswer: 2, 3, 233128109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55.19 - -1.19. Let z = 54.5 + t. Let r = 0.1 + -5.1. Which is the second biggest value? (a) z (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.04 - 0.04. Suppose -2*m + 10 = u, -3*u - u + 5*m = 12. Which is the nearest to 0? (a) z (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*q + 4 + 7 - 9 to the form p*q + d and give p.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5125 + -3367. Suppose -12*p - f = -15*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 35*m - 118. Let l be x(-21). Let i = l - -664. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 23. Let y be (-2 + (-15)\/z)*24. Let v = -13 - y. Let j(b) = b**3 - 4*b**2 - 4*b - 2. What is j(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1 + -7) - (-2 + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 341612637 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/7 + 23524*l**2\/7 - 283669824*l\/7 + 536206464720\/7.\nAnswer: 4*(l - 3282)**2*(l + 12445)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 7*o - 629976. Suppose -b - 5*t + 69980 = -0*t, 3*b = -2*t + o. What is b rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 11\/(1100\/430)) + 7\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-25784232.\nAnswer: 5156846.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + n - 4. Let k be v(-4). Suppose -p + 0*p - 3*d = -6, 4*p - 2*d - k = 0. Let r = p - 6. Solve -4 + r = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -29667231?\nAnswer: -29667231.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f - 2. Let g be 1\/f*(2 + -2). Solve g*v = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 + -70. Solve -t = h - 0*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6707 - -628. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24307431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epp when three letters picked without replacement from {e: 3, y: 7, p: 3, d: 2, w: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241.48 weeks in hours?\nAnswer: 376568.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*a + 74, 0 = 2*x + 2*a - 8 - 140. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -400, -1816, -4254, -7714, -12196, -17700?\nAnswer: -24226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i - 5. Give o(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 25, 21, 1, -41, -111, -215, -359?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1483313499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7024953 days in weeks?\nAnswer: 0.5289279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -45. Which is the nearest to -0.1? (a) x (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, m: 1}. Give prob of picking 2 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7\/10*(-256)\/(-448)*15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efppeepfp. What is prob of sequence ffp?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(-41*f + 21*f + 17*f + 83).\nAnswer: -9*f + 249","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**3 + 4*i**2 + 3*i - 4. Let j(m) = 6*m**3 - 5*m**2 - 4*m + 5. Let s = 18 + -13. Suppose -5 = -s*z + 15. Give z*j(t) + 5*h(t).\nAnswer: -t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 85*v + 1746. Let t be u(50). Let o(w) be the first derivative of w**3\/3 + w**2\/2 + 3*w + 2. Give o(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52040 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 185126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16543979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/20)\/((-30)\/(-2225)) and -79\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 3*i**2 + 4. Let k be d(3). Let y = -2148 - -2237. Suppose k*o - 7 = y. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10805 + 6605. What is n rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.185122 * -4\nAnswer: -0.740488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4851097673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/46661 = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o*o**(-3\/4)\/o*o*o)*o)\/o)**28\/(o\/((o*o**5*o)\/o*o)*o*o**(-2)\/o) assuming o is positive.\nAnswer: o**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -39, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 47. Which is the third biggest value? (a) 2 (b) h (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Let v = -6 + 8. Let g(h) = -5*h + h**v + 2*h + 4*h - 2 - 2*h. Give g(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 5*c**2 + 6*c + 6. Give b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 8 + 6*k - 2*k**2 + 5 - 22.\nAnswer: -2*k**2 + 6*k - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 4\/21 (c) 4\/7 (d) -518\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 21*n - 3*n**2 - 5*n - 13*n + 4*n**2 + n**2 + 2. Let k(l) = 9*l**2 + 16*l + 11. What is 22*j(m) - 4*k(m)?\nAnswer: 8*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 5671772*p + 5671768.\nAnswer: 4*(p + 1)*(p + 1417942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (0 - 3) - 1. Put g, 2, -0.5 in decreasing order.\nAnswer: 2, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 9:40 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 135 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/550170 and -31\/495153.\nAnswer: 4951530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -1\/29, 0, -3\/5, 1\/4 in ascending order.\nAnswer: -1.1, -3\/5, -1\/29, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 748995\/25 + (-295)\/25 + 13 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94740.9341 + 94745. Let z = q + -0.0659. Put z, -59, 3, -0.2 in descending order.\nAnswer: z, 3, -0.2, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 0, 3*l = m + 3*m + 4. Suppose 8 = 5*i + 3*s, 2*i = -5*s - 7 - 5. Which is the smallest value? (a) i (b) m (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3614 + 32525\/9. Which is the nearest to -1\/3? (a) z (b) 0.1 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/106 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from csxqa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/1 + 24\/16?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**3 + 7*c**2 + 5*c. Let y(z) = 2*z**2 - 5*z - 14. Let d be y(5). Let l(q) = -8*q**3 - 9*q**3 + 13*q**2 + 8*q**3 + 9*q. Calculate d*b(g) - 6*l(g).\nAnswer: -g**3 - g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {u: 1, y: 2, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(325) + -2).\nAnswer: -6 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + 216. What is the greatest common factor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1347*x**4 + 2*x**2 - x + 132322?\nAnswer: -5388*x**3 + 4*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/4)\/p)\/(p\/p**(1\/3)*p)*p**6\/p**(-1\/4) assuming p is positive.\nAnswer: p**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-150))\/((-3)\/(-15)). Suppose -s = -3*s + 78. Let w be (-30)\/(-4)*(-26)\/s. What is the third smallest value in z, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**3 + 11*y**2 - 227 wrt y?\nAnswer: -6*y**2 + 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/5 + 938*k**4\/5 + 20746*k**3 - 1462018*k**2\/5 + 5754116*k\/5 - 6505072\/5 = 0. What is k?\nAnswer: -241, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-nine quarters of a kilogram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -3*n**5\/40 - 7*n**4 - 55*n**3\/4 - 2160*n + 2. Find r such that d(r) = 0.\nAnswer: -55, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 649.3435 + -19501\nAnswer: -18851.6565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -10, -14, -0.03, 21?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(5\/2 + -2). Suppose -4*p + s = -2*p. Suppose -m = -p - 1. Let z(q) = -q**2 + 3*q - 3. Give z(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98146981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(((-33)\/432)\/((-970)\/(-1455)))?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5*z**2 - 11*z + 9. Let y be r(7). Let q be (-18)\/(-4) + 3\/(-6). Suppose -q*g - g = -y. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, 0.9, -555.1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(105)\/sqrt(252) - (sqrt(135)\/(sqrt(45)\/sqrt(5)) + sqrt(15)))\/(sqrt(6)\/sqrt(2)*-4 - sqrt(30)\/(sqrt(20)\/sqrt(2))).\nAnswer: -5 + 11*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2695 and 59\/872740.\nAnswer: 42764260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 3*u**2 + 3*u - 3. Let p(h) be the first derivative of -h**4\/4 + h**3\/3 - h**2\/2 + h - 10. Give 6*p(c) + 2*w(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/5, -3\/8, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*g**3 - 11*g**2 + 11*g**2)*(5*g + 4*g - 3*g + (0 - g + 0)*(1 + 4 - 3)) + (0*g**4 - g**4 + 0*g**4)*(-4 + 1 + 1).\nAnswer: 54*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4769, -83, -1, 3 in descending order.\nAnswer: 4769, 3, -1, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(-3) + (-175)\/(-210)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 120\/(-25) + (-2)\/10. Let r be (-2)\/5 + (-24)\/15. Suppose 102492*v - 102487*v = 5. Which is the closest to 0.7? (a) v (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 + 16*w**2 - 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myyyyyyyymyymy. What is prob of picking 1 m and 2 y?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.965 and 152060.\nAnswer: -602917.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -77 divided by 43\nAnswer: -77\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 371767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 433025 times -0.11?\nAnswer: -47632.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 2084690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - l + 24 = -2*l, -2*l = -u + 13. Suppose 3*q - u*a = 793, 0*a - 5*a = 2*q - 487. Let v = q + -125. Is 43 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197144315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -5*n + 2*y - 4*y, -2*y = 0. Let r be 10*(-4)\/n*2. Put 4, -14, 1, r in descending order.\nAnswer: r, 4, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -713, -715, -717?\n\"Answer: -2*v - 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -2\/11, 5\/3 in increasing order.\nAnswer: -2\/11, 5\/3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - 24*c**2 + 25*c - 10. Let t be m(-13). Solve 3*a = t*i, 3*i = a + 5*i + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (4 + -4 + -1). Suppose l - 3*l + 4 = d. Determine o, given that 541*o**4 - 526*o**4 - l*o**2 - 6*o**3 + 21*o**5 + 2*o**2 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -449 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 9. Let q be y(17). What is the common denominator of (-98)\/(-6)*(-1)\/(-2) and 1104\/320 - 2\/q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 - -0.57. Let c = 18312 + -18308. Put c, 1, 2\/159, v in increasing order.\nAnswer: 2\/159, v, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2611?\nAnswer: 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/15)*i*i**1\/i)\/(i\/i**15*i*i**(-14)) assuming i is positive.\nAnswer: i**(419\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -13*c. Let m(k) be the third derivative of -k**4\/24 + 22*k**2. Calculate p(m(i)).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -81 (b) 1.7 (c) -3\/7 (d) 1.86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*f**2*l**3 - 30*f*l**3*t - 10*l**3*t + 4*l**3 + 3*l**2*t wrt f.\nAnswer: 60*f*l**3 - 30*l**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -7 - (-5 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**4\/12 + x**3\/6 + 11*x**2\/2 - 10*x + 505. Let n be 4\/(-1)*(0 + -1). Give h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1101096 and 5994856?\nAnswer: 53953704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3676*u - 2837.\nAnswer: 3676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/2)*p**(2\/29)*(p**(-16)*p)\/p*p\/((p\/(p\/(p*p**12)))\/p) assuming p is positive.\nAnswer: p**(-1649\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/563931 and 91\/3440?\nAnswer: 1939922640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-45) + (-1406)\/(-6). What is the greatest common divisor of 130 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 0, 46, 3, 9 in descending order.\nAnswer: 46, 9, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 14*f - 1059 = 0. Suppose -4*n - f = -5*w + 1812, 563 = w + 2*n. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 7*v - 8. Suppose 0*n = -v*n + 122. Suppose -5*i - 23 = -3*p + 75, -2*p - i + n = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/18, 5, -4, -1\/6, 6 in decreasing order.\nAnswer: 6, 5, 5\/18, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + z + 5. Let m be i(0). Let h(q) = -q**3 + 6*q**2 - 3*q - 3. Let c be h(m). Is ((-12)\/(-6))\/(1\/c) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbiibbb. What is prob of picking 1 i and 3 b?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7)\/k)**32)**34\/((k**1)**(6\/13)*(k**(-2\/5)*k)**22) assuming k is positive.\nAnswer: k**(-359816\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x - 4 = 0. Suppose -3*l = 5*f - 57, -14*f = 8*l - 18*f - 152. Calculate the least common multiple of x and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2709023843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i**2 - 3*i**2 - 7 + 3*i**2 - 5*i**2 wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 5*q + 0*q**5 + 55*q**2 + 0*q**3 + 1\/5*q**6 - 1 + 0*q**4. Find the first derivative of a(d) wrt d.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21742727 (base 8) to base 13.\nAnswer: c88c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - q = 14, -m + q = m - 5. Let p be (18\/12 - 3)*(-4)\/(-24). What is the fourth biggest value in p, 1, m, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18063 and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -551 - 2?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -42. Let m(q) = -q**2 - 17*q - 15. Let k be m(l). Let 7*g**2 - 2*g**4 + 2*g + 51 + 7*g**4 - k + 9*g**3 + g**5 = 0. What is g?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + (7 - 1 - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f - 4*b - 24, -b - 39 = -3*f. Let d(q) = 28*q + 115. Does 43 divide d(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 848\/(-28)) + -4. Let k = -19533\/917 + w. Is k at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**5\/36 + 31*j**4\/36 - 4*j**3\/3 - 48*j**2. Factor c(w).\nAnswer: -(w - 12)*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 6:46 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/168 and -49\/1080903.\nAnswer: 60530568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -5*l - 4*z, -2*l - 3*z + 350 = 150 + 179 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -3*s + 1\/21*s**3 + 0 - 1\/105*s**6 - 1\/14*s**4 + 0*s**2 + 3\/70*s**5. Factor d(j).\nAnswer: -2*j*(j - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1589*l**3*v + 663*l*v + 2*l - 2*v wrt l?\nAnswer: 9534*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from iuiiugir.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.2 and 41?\nAnswer: -131.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**4\/2 + 2*z**3\/3 - z**2\/2 + 8. Let i be c(2). Suppose i - 177 = -5*x. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*r - 0*r. Suppose -2*l + r = -13. Let d be 0 - -7 - (2 - 3). Calculate the greatest common divisor of d and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(9 - -4 - 7) - (-26)\/(-4). Let f(v) = -20*v - 6. Let p(w) = -1. Calculate s*p(y) + f(y).\nAnswer: -20*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2*c - 6 = -4, t + 4*c = 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**2 + 2*y + 8. Let h(t) = 2*t**2 - t - 4. What is -7*h(c) - 3*u(c)?\nAnswer: c**2 + c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-14)*(-145)\/(-725).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19043567, -19043568, -19043569, -19043570, -19043571?\n\"Answer: -r - 19043566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4910 + 2292. Does 277 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23413862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 7. Let i be g(-5). Let l(t) = -4*t**2 - t. Let z be l(i). Let r = 61 + z. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + (20 + 4 - -3).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243124230 (base 5) to base 7.\nAnswer: -12510561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 66*i**2 + 6*i + 5. Let u(r) = -r**3 - 4*r**2 - 8*r - 4. Let x(q) = q**2 + q + 1. Let t(y) = -u(y) - 5*x(y). Let c be t(0). Is b(c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -71 - 4966*j - 70 - 712*j + 141. Let d(l) = -l. Determine v(d(f)).\nAnswer: 5678*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17 - 1255\/(-75))*(2 + -3)\/(-78). Let k = 3 + -3. Is k > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.13 and 9.8849?\nAnswer: 10.0149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {g: 3, p: 1, b: 1, l: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, j: 3}. What is prob of sequence jjll?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**4 + 560*j + j**4 + 30 - 2*j**2 - 560*j + 265 as i*j**2 + n*j**4 + h*j + r + w*j**3 and give r.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*q + 1039959*i*z**2 - 4544*i*z + 14*q*z**2 - z**2 - 4753*z wrt z?\nAnswer: 2079918*i + 28*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.032 + 0.068. Let o = -8 + 3. Which is the second smallest value? (a) 0.2 (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = m + 25, 4*o = -4*m + 28. Suppose -3*n + 3*g = 2*n - 25, o*n + 5*g = 41. Solve -3*d - 3*i = -n*d + 25, 0 = -d - 5*i + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/(-2))\/(6\/735). Let g be s\/20 - (-1)\/(-4). Calculate the greatest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62470614 and 230112.\nAnswer: 4794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 2*z + 1. Let k be t(2). Suppose k = -0*d + d. Let x(l) = -l**2 - 2*l + 2. Let f be x(-2). Is f greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.2. Let n = 57.19 + -1.19. Let k = 55.7 - n. What is the closest to 0 in o, -3, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1464427.9 rounded to the nearest 100?\nAnswer: -1464400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2268*u + 2268*u - 6802*u + 2266*u - 5*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 28*p**2 + 29*p + 53. Let b be v(-27). Is b less than or equal to -1\/443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23405827?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from rczz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25244.6 - -0.29\nAnswer: -25244.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-63)\/9 + 5)\/(-4 - 15\/(-3)). Let l = 2 + -5. Sort 6, k, 5, l in decreasing order.\nAnswer: 6, 5, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 0.5, -26?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693187420576*v + 0*v**2 + 693187420576*v - 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(704) + 0 - sqrt(704))**2*-5 + 3 + -2 + ((2*sqrt(1584) - sqrt(1584)) + sqrt(1584))*5 + 2.\nAnswer: 2 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7945)\/95)\/7 + (-4)\/76. What is the nearest to 1 in 8, 0.2, -1\/2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 206*h + 0*h**3 + 326*h**2 + 7*h**3 - 326*h**2 in the form x*h + f + m*h**2 + n*h**3 and give x.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*l + 2. Is -6 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((54\/44)\/3)\/((-2595)\/3460).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221778264 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - 6. Let j be ((-2)\/(-2))\/((-2)\/v). Does 9 divide 0\/1 - -2*j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 742 and 1537?\nAnswer: 21518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**5 + 2*p**2 - 4*p + 4. Let u(z) = z**2 + z - 1. Let s(n) = 4*u(n) + x(n). What is the third derivative of s(j) wrt j?\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9*t = 5*v - 20, -4*t + 1 = -v. Suppose 4*j - 8 + 0 = 0. Solve j*f - 7 = v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -287*p**3 - 3*p**2 + 2*p + 6. What is n(-1)?\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -2, 4, 14\/5 in decreasing order.\nAnswer: 4, 14\/5, -0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 1, t: 1}. Give prob of sequence jm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131597967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 147 + 3724*j**4 + 139 - 19976*j**3 - 1416*j**3 + 2112*j + 306 - 16 - 6080*j**2 = 0.\nAnswer: -2\/7, 6\/19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 403, 889, 1579, 2467, 3547, 4813, 6259?\n\"Answer: -h**3 + 108*h**2 + 169*h + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*11\/(-22))\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -16660.284 to the nearest 10.\nAnswer: -16660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4497275903?\nAnswer: 577, 7794239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, -64, -133, -240, -391, -592, -849, -1168?\n\"Answer: -z**3 - 10*z**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1891 or 113?\nAnswer: -1891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 8, -0.4, 949?\nAnswer: 949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -122101000112210 (base 3) to base 6\nAnswer: -525511250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 8*o**2 + o + 7. Determine u(-5).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 39 - (-4 + (1 - -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 383733 + 18*t**3 - 383743 + 44*t**3 + t**2 in the form b*t + m*t**2 + a*t**3 + u and give a.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 23. Let t = -25 + 39. Suppose 0 = 3*g + 2*r + 41, 9*g - r - 66 = t*g. What is z(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let v = -14 + 13. Sort 2, b, v.\nAnswer: v, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*l - 3 + 3 + 417*l - 15*l**2.\nAnswer: -15*l**2 + 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*p**2 - 265*j**3*p - 2*j**3 - 61*j**2*p**2 - 3*j**2*p + 13*j*p**2 - 51*j*p + 100*p**2 - 14 wrt p.\nAnswer: 4*j**3 - 122*j**2 + 26*j + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112772 and 5126.\nAnswer: 112772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 2*x**2 + 4*x - 8. Let a be z(-4). What is the third derivative of -12 - 1 - 45*s**2 + a - 92*s**5 + 4 wrt s?\nAnswer: -5520*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.1 + 19. Let l = -3403 + 51073\/15. Let z = l - 41\/30. Does z = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = j + 84 - 92, 0 = 12*j + h + 51 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 1. Suppose -3*i = 2*c + 32, 0 = 258*i - 262*i - 2*c - 44. Let p(a) = -12 + a - 12*a - 5*a. What is i*u(z) + p(z)?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven sevenths of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n + 4. Let a(m) = -3*m - 2. Let o(k) = -6*k - 4. Let c(q) = 11*a(q) - 6*o(q). Let s(u) = -11*c(u) + 6*j(u). Is s(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Suppose 35 = 4*s - 5*b, 4*s - 2*s + 2*b - 40 = x. Solve -s = -6*i + 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -28, -1, -4, 56 in ascending order.\nAnswer: -28, -5, -4, -1, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9682100\/17 > -569535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 6\/(-2)) + -2. Suppose -p*t + 128 = -0*d + 4*d, 0 = -t - 4. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764*c**2 - 382*c**2 - 85253 + 85253 - 404*c**2.\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**2 - 2820*y - 24975 = 0.\nAnswer: -555, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 439930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**4 + 2*y**4 + 4*y**4)*(-4 + 5 - 4).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 23*a**2. Let u(d) = 7*d - 5. Let r(v) = 6*v - 4. Let c(w) = -5*r(w) + 4*u(w). Calculate n(c(x)).\nAnswer: 92*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -145*r - 1068. Let m be l(-9). Which is the second smallest value? (a) -5 (b) 1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:45 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3401234 (base 6) to base 7\nAnswer: 1312441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 130?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/15*(1\/2)\/(10\/10)\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7915, 15414, 22509, 29200, 35487, 41370, 46849?\nAnswer: 51924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 557497 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 1, s: 1, v: 1, h: 1, q: 2}. What is prob of sequence ds?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**3 - 45*b**2 + 36*b - 27. What is n(11)?\nAnswer: -1083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 + 63 = -4*j. Let b be (-4)\/(-16) - j\/8. Suppose b*z = 80 + 40. What is the remainder when z is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 46. Is ((-3384)\/(-15))\/(-6)*15\/n a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265240024 at most 265240024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4131\/2 - 2065. Factor 0*i**3 + i + 0 + a*i**4 - 3\/2*i**2.\nAnswer: i*(i - 1)**2*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49960 + 1498679\/30. Calculate the common denominator of 0 + (-1)\/((-66)\/163) and b.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 18*z**4 - 4*z**3 + 7*z. Let s(x) = -37*x**4 + 7*x**3 - 13*x. Let l(v) = -7*m(v) - 4*s(v). What is the second derivative of l(w) wrt w?\nAnswer: 264*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 2*w**4 + 553*w**2. Let p(s) = -18*s**2. Calculate p(k(v)).\nAnswer: -41472*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(637) + ((4 + sqrt(637))*6)**2 + sqrt(637) + sqrt(637) + 3.\nAnswer: 2037*sqrt(13) + 23516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6465866 divided by -1\nAnswer: -6465866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 10981?\nAnswer: -4\/10981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226042143.\nAnswer: 3, 41, 1837741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 22617*c**2 - 31525560*c + 12301268496.\nAnswer: -3*(c - 5867)*(c - 836)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -1 (c) 0.2 (d) 1\/30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3066 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 + -117. Let a = q + 366. Let j = -33 + 48. Calculate the greatest common factor of a and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3\/10 - 111*i**2\/10 + 1221*i + 25276\/5 = 0.\nAnswer: -178, -4, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*((sqrt(1700) + 1 - sqrt(1700)) + 2 - sqrt(1700)) + 1*(-2 + 2*sqrt(1700))))**2.\nAnswer: -2560*sqrt(17) + 109056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4048 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*21.203484.\nAnswer: 19.0831356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/11)\/h**(-4))\/(h**8\/h**4))**(-28\/3) assuming h is positive.\nAnswer: h**(-56\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/5? (a) 2 (b) 73 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 804436277?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**10\/151200 - s**9\/60480 + 19*s**5\/60 + 17*s**2. Let p(n) be the third derivative of f(n). Factor p(d).\nAnswer: -d**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44\/(-18) + (2 - -10)\/3. Let j = -242 - -244. Suppose -x*n + 2\/9*n**j - 16\/9 = 0. Calculate n.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 6*o + 4. Let s be b(2). Let w(x) = -4*x - 3. Let l be w(s). Calculate the highest common factor of 26 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 358 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 0*f**5 + f**6 - 85*f + 0*f**2 + 1 - 19\/2*f**3 + 0*f**4. Find the second derivative of n(s) wrt s.\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8161080.\nAnswer: 2, 3, 5, 47, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 16 = -3*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -7*n + 2*n + 24, -9 = -4*n - h. Suppose 0*v + 2*c = v + 2, 4*c - 2 = n*v. Suppose -f = f - 4. What is the highest common factor of v and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*4\/344*(-166)\/415\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 5, 1, 6, -125, 2 in increasing order.\nAnswer: -125, 1, 2, 5, 6, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.88 + -7. Let d = 0.02 + j. Let q(w) = -w**2 + 2*w - 1. Let k be q(2). Which is the nearest to d? (a) 5 (b) 1\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = -14*s + 61 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88886311?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 + 119 = -2*n + a, -a + 55 = 2*n. Solve -17*w = -21*w + 5*o + 10, 5*w - n = -o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153 - 453151533?\nAnswer: -453152130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -744095*w + 744100*w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - 1\/(1\/3). Solve 2*z - l*t = 3*t - 21, z - t = -3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.176978 millennia in years?\nAnswer: 5176.978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-40)*6)\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - m**2 - 2*m - 1. Let s be z(2). Let r(k) = -54*k**3 - 1. Is 17 a factor of r(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(-15))\/((-1)\/(-1761)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-6 + 0)*38\/(-57)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11112.\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.083*212\nAnswer: 17.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650.1512l to millilitres.\nAnswer: 650151.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4926 + 8286. Is b a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 119708 divided by 4?\nAnswer: 29927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/24*14\/49?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyye when four letters picked without replacement from eyyeeyeeeee.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32026621523 + 5?\nAnswer: 32026621531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 480 or 31?\nAnswer: 480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*8 + 832573\/49 + 6\/(-21) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362455859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + d**2 + 2*d - 1. Suppose 5 = -12*x - 79. Let z(w) = 8*w**2 + w. Let g be z(1). Let n = g + x. Determine b(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3666 and 77597?\nAnswer: 465582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 10:50 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 = t + 4*w + 226, -5*t = 5*w + 3435. Let m = t - -5487\/8. Find the common denominator of m and 57\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -2)*(-8 - -10) + 3. What is the greatest common factor of d and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132037768 + -132037766.239999472. Let b = 1.76 - l. What is b rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -420.2 + 485. Let s = 65 - r. Sort s, -29, 3, 1 in increasing order.\nAnswer: -29, s, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.46328 * -2.291\nAnswer: -3.35237448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24741203?\nAnswer: 359, 68917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 - 22626?\nAnswer: -23043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 6*z - 4. Let f be p(4). Let j = 285 + f. 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 -1211 (base 4) in base 6?\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - 4*h - h**3 - 5*h**3 + 3*h**3 + 4*h**3 + (-2*h + 0*h + h)*(-h**2 + 3*h**2 - 4*h**2) - 22*h**3 + 12 - 12 - 3*h**3 + 2*h**3 - 121*h**2 + 119*h**2.\nAnswer: -20*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(2300\/759))\/((-2)\/7*105\/(-200))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -244*n**3 - 25*n**2 + 12*n + 46. Is r(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 16*l**3 - 8*l**2 + 8*l + 9. Let u(i) = -11*i**3 + 5*i**2 - 5*i - 6. Calculate 5*n(a) + 8*u(a).\nAnswer: -8*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m*m\/(m\/(m\/((m**(-3\/8)*m)\/m)))))\/m)\/(m**(-2\/5)\/m))\/(m\/(m*m**(-1\/4)*m)*m)**(2\/39) assuming m is positive.\nAnswer: m**(19\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x + 2*x**2 - 2*x**3 - 7*x**3 + 8*x**3. Let h be n(3). Solve -6 = 3*r - 0*w - w, h = -r + w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 11:47 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwpwppwpww. What is prob of picking 3 p and 1 w?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yryy when four letters picked without replacement from yryyyrry?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/21)\/((-17)\/6). Let u = -3\/17 + d. Let p = 102.6 - 102.7. Is u greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by -12763368?\nAnswer: -35\/6381684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153280 is divided by 2221?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d - 3*u = -34, 0 = -d - 4*u + 12. Suppose 5*m = -0*o - 3*o + 37, -d = -3*m - 4*o. Calculate the highest common factor of m and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (22 + -5) - (0 + -1). Let f be ((-152)\/(-1330))\/((-4)\/v). Suppose 0 + 0*j + 28\/5*j**2 + f*j**3 = 0. What is j?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(325) + 0)**2 + ((sqrt(325)*1 + 2)**2 - sqrt(325)) + (sqrt(325) - 3*(sqrt(325) - -1*sqrt(325))) + (-1 + sqrt(325) + 3)**2)*3.\nAnswer: 30*sqrt(13) + 2949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*j + 145*j + 9386 - 2504 = 0 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghlhllhhlhhhg. Give prob of sequence lhgl.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1130784, -1130788, -1130794, -1130802, -1130812, -1130824, -1130838?\n\"Answer: -x**2 - x - 1130782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -9*a + 11. Let q(t) = t**3 + 6*t**2 - 2*t - 8. Let n = 10 + -16. Let p be q(n). Solve p*b - 13 = b + c, 4*b = -a*c + 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*b + 521 - 521 + (6 - 3 - 1)*(2*b + 0 + 0) to i*b + s and give i.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(6\/11)\/m**(-10\/3))\/(m**(-16)\/(m*m*m**(1\/28))))**(-1\/47) assuming m is positive.\nAnswer: m**(-20249\/43428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4766, -4790, -4812, -4832?\nAnswer: -4850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86295 + 20544 = -101*g. Is g a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -50 and -97179911.9?\nAnswer: 97179861.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyvvvy. Give prob of sequence vvyv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 + -2672820?\nAnswer: -2672819.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 172, 397, 692, 1045?\nAnswer: 1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 3*k + 4*w, 2*w = -k - 7 + 75. Calculate the lowest common multiple of 22 and k.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p + 118655 = 34*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*m - 3411 + 3410 - 5*m in the form v*m + y and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-1)*(-18)\/(-54).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bf1e0 (base 16) to base 10.\nAnswer: -782816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4 - 3470*a**3 - 255325*a**2 - 2851410*a - 7543800 = 0. What is a?\nAnswer: -55, -9, -4, 762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083580215.\nAnswer: 5, 31, 13442453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(99) + 3 + -3)**2 - (sqrt(99) + -1)*-2))*-3.\nAnswer: -282 - 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 3*q - 4*q + 7*q**2. Let v(k) = -19*k**2 + k + 2. Let f(u) = 945*u**2 - 50*u - 100. Let r(a) = 3*f(a) + 150*v(a). Give j(r(x)).\nAnswer: 1575*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 10. Let m be d(3). Let q = -12 - -6. Let l be (-16)\/6 + 2\/q. Sort m, l, 5 in increasing order.\nAnswer: l, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbb when three letters picked without replacement from {g: 5, b: 13}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8496 rounded to the nearest 100?\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lololloloooo.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(((-1)\/(-17))\/1). Let r = l - -274. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312 by 104.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Suppose -3*u + 6*j + 8 = 2*j, -2*u = -4*j - 8. Solve a - 3*q - 10 = u, -q = d*a - a - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3428258651 to the nearest integer?\nAnswer: 58551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfzzufuztfufufuzuf. Give prob of sequence qzzu.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.409239kg to nanograms.\nAnswer: 8409239000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -677, -1360, -2043?\nAnswer: -2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-1)\/(-1) - 0) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 14855 = -246412 - 130920. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q - 4*q + 4*q)*(10074 - 1701 - 4246 + 9397) to the form c*q + k and give c.\nAnswer: -40572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222564, 445028, 667492, 889956, 1112420?\nAnswer: 1334884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -229 - -385. Let c = x - 154.34. What is c rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232763 and 5891?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-5)\/p))\/p*p\/p**12)\/((((p\/p**(-4\/7))\/p)\/p)\/(((p\/((p*p*p*p**(1\/9))\/p))\/p*p)\/p)) assuming p is positive.\nAnswer: p**(-484\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 9 + -13 + -2 + 11 + 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44865, 179451, 403761, 717795, 1121553, 1615035, 2198241?\nAnswer: 2871171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -12. Let q(a) = a - 62. Calculate -6*l(n) - q(n).\nAnswer: -n + 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -13 + 15 - (-4 + -8).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2\/2 - 1695*m\/2 + 107151 = 0.\nAnswer: 191, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50, -55, -24, 61, 218, 465, 820, 1301?\n\"Answer: 3*z**3 - 26*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -423400001 (base 6) to base 3\nAnswer: -112000110200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 743641.1 rounded to the nearest ten thousand?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21000131 (base 4) in base 14?\nAnswer: -d633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 4*z**2 - 6*z + 7. Let g be f(5). Suppose -64 = g*b - 10. Let n = b - -70. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2253650.60394 - 2253621. Let g = 29.6 - w. What is g rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**3 + 120*p**2 - 432*p - 7776 = 0.\nAnswer: -6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + 1.32. Let t = 3.65 + h. Let i = 372\/7 - 53. What is the biggest value in -3, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - y = 0, -4*d + 3*y + 2 = -2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1599 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**2 + 6. Let v(q) = 17*q**2 + 17. Suppose -4*r = -6 + 58. Let k = -10 - r. Suppose -f = f - 3*o + 2, 3*f = k*o - 6. Determine f*v(d) + 11*x(d).\nAnswer: -2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/20145 and 107\/4524330.\nAnswer: 76913610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 12, 5, 4, 9, 20, 37?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/82, 341 in increasing order.\nAnswer: -2, -1\/82, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 5, 3, 8 in decreasing order.\nAnswer: 8, 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 1, y: 5, c: 4, d: 4}. What is prob of sequence yc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/7 + 32*x**3\/7 - 12*x**2 + 80*x\/7 - 26\/7.\nAnswer: -2*(x - 13)*(x - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025595 minus 0.3?\nAnswer: -0.274405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, c: 2, i: 8, h: 2}. What is prob of picking 2 i and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*n = -363*n + 10. Let o(i) = -1 - 1 + 6*i - 3*i**2 - 2. Let d(q) = 4*q**2 - 7*q + 5. Calculate n*d(z) + 6*o(z).\nAnswer: 2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/38*304304\/(-4576).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.717 + -1745.283. Let w = -1748.9 - c. Let a = 14 - 7. What is the nearest to w in 2, -3, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wibwuwu. Give prob of sequence wb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1) + 0 + 1. Suppose -l*r**2 + 2*r**3 + 3*r**2 + r**2 + r**2 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*b**2 - 537557750 + 537557750.\nAnswer: 385*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79022253 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 - -0.46. Suppose n - 2*n - 4 = 0. Let d = 1.94 + 0.06. Which is the third biggest value? (a) y (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**5\/7 - 600*t**4 + 9720*t**3 - 196720*t**2\/7 - 614340*t\/7 - 345384\/7 = 0. Calculate t.\nAnswer: -1066, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(576) - (-4*sqrt(576) + sqrt(576))))\/(((sqrt(72) - 5*sqrt(72))*3)\/sqrt(9)))**2*5*2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64084 + -448584\/7. Factor 2\/7*z**2 + h*z - 6\/7.\nAnswer: 2*(z - 1)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318105.\nAnswer: 3, 5, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 k, and 1 c when three letters picked without replacement from {p: 1, e: 1, c: 2, n: 1, k: 1, y: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/14 and (999\/135)\/(4\/5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 295, -0.21, -4, -0.02 in decreasing order.\nAnswer: 295, -0.02, -0.21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 4749045864977.\nAnswer: 4749045864976.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 130 + 10 = 0. Let m = 16 - d. What is the common denominator of m and -15\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8*0*-1. Let q(c) = -c + 6. Let w be q(6). Let u = -3 - -5. Solve -b + 3*t - 7 = j, w = b - 5*b - t - u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -57, -1, -0.28, -2?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 31*m**3 - 3*m**2 - 3*m - 3. Let d(q) = 32*q**3 - 4*q**2 - 4*q - 4. Let j = -5937 - -5933. Calculate j*u(b) + 3*d(b).\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 7*n, -5*o = -227737*n + 227735*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 - 95. Let a = g - -13. Let z(p) = -1709*p + 18. Let u be z(a). Round u to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 15, 5*p + 12*c - 58890 = 9*c. What are the prime factors of p?\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7810 divided by -5.\nAnswer: -1562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-337)\/(521339\/(-4284)))\/(6\/(-52))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29059 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 12:24 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -233, -1028, -2347, -4184, -6533, -9388, -12743, -16592?\n\"Answer: y**3 - 268*y**2 + 2*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {f: 11, m: 8, r: 1}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 476961959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1612525 is divided by 280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 592883340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 2*c**2 + c**2)*(-625*c**2 + 318*c**2 + 325*c**2 + (0 + 0 + 2*c)*(-2 - 2*c + 2) + c**2 - 3*c**2 + c**2 + c + 2*c**2 - c).\nAnswer: 30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11118 divided by 3\nAnswer: 3706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*i**2*m + i**2 + 2*i*m + 111*m + 2 wrt i?\nAnswer: -40*i*m + 2*i + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8997018847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*c = 144, z + 5*c = 18 + 10. Let a = z + 15. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-15)*(-10)\/4. Suppose 0 = -b*r - 325 - 185. Is (-3)\/9 + r\/(-6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**5 - 477373422*d**2 - 2*d - 258695843?\nAnswer: -20*d**3 - 954746844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*h = 9*h + 1029. Let x = 1 + 82. Calculate the remainder when x is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.45 - 83849.8\nAnswer: -83838.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 53*v**2 - 16.\nAnswer: -53*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.47 to one dp.\nAnswer: 15.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -107\/106 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:58 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -38*w + 1295. Calculate t(34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5612.757 milligrams in grams?\nAnswer: 5.612757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3143 plus -0.5?\nAnswer: 3142.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80\/309 + 141\/412. Let o be ((-2)\/(-8))\/(5\/8). Which is the second biggest value? (a) l (b) 2 (c) -3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120414 (base 10) in base 16?\nAnswer: 1d65e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*n + 0*n = 32, -3*x - 8 = 5*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 s when four letters picked without replacement from {s: 2, o: 8}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1455695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from udqjuyy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(91)\/sqrt(7))**2 + ((sqrt(52)*1)**2 - sqrt(13)).\nAnswer: -sqrt(13) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/15616 and -83\/3752?\nAnswer: 7323904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -2\/5*u**2 + 20 - 13*u - 1\/6*u**3 - 1\/60*u**4. Let i(x) be the first derivative of f(x). Determine d so that i(d) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185932469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 910 - 908. Let j = -5 - -6. Let w(q) = -q + 1. Let t be w(j). Solve o + s + 0 = t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, and 1 v when three letters picked without replacement from {l: 8, k: 5, j: 1, v: 1, b: 5}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*3\/((-12)\/2)*-2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, e: 2, m: 1, y: 9}. What is prob of picking 2 y?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -808.41369 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 37\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11071 - 11069. Solve -5*g + 11 = 2*l, l - 7 = -t*g - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2174 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - 1. Let f = -39 - 6. Let l be (-48)\/f - (-2)\/(-5). Is g at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.11 + 6.\nAnswer: 4.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 520 in -2\/5, 2\/3, -0.1, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 2*i**2 + 6*i + 3*i**3 + 598 - 615. Is n(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6137 by 613.\nAnswer: 6137\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5674313130 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(6\/(-33)))\/(-1). Suppose -4*l - 5 - z = -4*f, 3*f - 6 = 0. Let r be ((-1057)\/420 + 12\/45)\/(5 - -1). What is the nearest to r in 4, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -530*a**2 + 112*a + 3034. Let s be p(-22). Round s to the nearest 1000.\nAnswer: -256000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/48 - ((-470)\/(-40) + -12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9cc5c (base 13) in base 6?\nAnswer: -10041502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 8:36 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5510495 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 + (-4 - -2) - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*x + 191, 3*x = 2*x - 4*z - 45. Let b be 4*207\/216*12. Let i = x + b. Calculate the greatest common divisor of 6 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzll. Give prob of picking 3 l.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 531286 - 531329.99568. Let v = 42.7 + 1.3. Let d = v + x. What is d rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -399 - e?\nAnswer: -3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(((i\/i**(-15\/4))\/i)\/i)))\/i)**(-1\/2)\/(i**14\/(i**(-20\/9)*i)) assuming i is positive.\nAnswer: i**(-1159\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11951936\/29 or 412137?\nAnswer: 11951936\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**13*a*a**(-2\/13))\/((a\/(a**(-2\/25)*a*a*a))\/(a\/((a*a\/(a**(-24)\/a))\/a))) assuming a is positive.\nAnswer: a**(-3001\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - p = 1617, -h - p = -4*p - 1625. Suppose 11*x - 2017 - h = 0. Is x a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-126)*(-28)\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(15)\/sqrt(180) + 3 + 1 + sqrt(675).\nAnswer: 6 + 91*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132 + -120 - (6 - (4 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04737377 minus -1.522?\nAnswer: 1.47462623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(9)\/sqrt(75)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 24. Let f(v) be the third derivative of v**6\/120 + 11*v**5\/60 - 13*v**4\/24 - v**3\/6 - 7*v**2. List the prime factors of f(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(3 - 3 + h) - h - 2*h + 5*h + 4 - 4 + 3*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 111, 25189, -2?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -12. Let u be ((-5)\/3)\/(65\/234). What is the lowest common multiple of ((-16)\/u)\/(5 + 377\/(-78)) and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1451, 1417, 1359, 1277, 1171, 1041, 887?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 2889.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7103.34 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-771 - -770)\/(4\/(-6)). Factor 7\/4 + j*o - 1\/4*o**2.\nAnswer: -(o - 7)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -219*s - 655. Let n be d(-3). Solve 4*q - 3*u + 35 = -0*q, -4*q - 30 = -n*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwnnowwww. Give prob of picking 1 n and 3 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 65*p + 24*p + 19*p + 24*p in the form w*p + f and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5*(6 - 3))\/((-6)\/20) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*w**2 - 5*w**2 + 20*w**2 - 6*w**2 + 3*w**2 + 2*w**2 + (-2 + 5 - 1)*(0*w + 0*w - w**2).\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -38. Let n be l + 2 + -2 + 5. Let x(a) = 4*a**2 + 5*a + 4. Is x(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*c**3\/7 - 284*c**2\/7 + 1529*c\/7 + 242\/7.\nAnswer: (c - 11)**2*(13*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2605091*a**3 - 2*a**2 - 493199 wrt a.\nAnswer: -15630546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84296 is divided by 1561.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -2\/15, 0.09, 60?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9 = -5*f, -3*c = -c + 4. Suppose -2064 = -f*i + 2*r + r, i = -5*r + 706. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 5*q**2 + 4*q. Let p be x(3). Let u(m) be the second derivative of m**3\/3 + m**2\/2 - 2*m. What is u(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 l when four letters picked without replacement from {l: 2, j: 8}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -4*t - 4, 2516*t - 2520*t = 3*p + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288722809 is divided by 269?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(2160\/140)\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 574 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 46, 81, 134, 211?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/2)*f*(f*f\/f**(-8))\/f*(f*f*(((f\/f**(-2))\/f*f*f)\/f)\/f*f*f)**(-10))\/((f**(-6)\/f)\/(f**(-3)\/f)*(f**1*f)**(-18)) assuming f is positive.\nAnswer: f**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61095173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(2 + -1) + (0 - -3). Sort 5, -2\/11, r in decreasing order.\nAnswer: 5, r, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g**3 - 48 + 48 + (-2*g + 2*g - g**2)*(2*g - 2 + 2))*(64 - g + 2*g - 303) + (1 - 1 + 3*g**2)*(g**2 + g**2 - 4*g**2).\nAnswer: -19*g**4 + 3107*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, u: 14}. What is prob of sequence nu?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9066 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = -j - 2697. Let x(p) = -j*p - 92*p + 183*p. Let t(w) = 3*w**2 + 1. Give t(x(f)).\nAnswer: 12*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -109 (b) 32 (c) 11247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.225838 to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (28 + 13 + -26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23698*v**5 - 225*v**4*w**2 - 12131*v**2*w**2 + 9*v**2 + v wrt v.\nAnswer: 1421880*v**2 - 5400*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, x: 5, r: 1, m: 1, e: 9}. What is prob of picking 2 x?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33440 and 12800?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801096.\nAnswer: 2, 3, 29, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -7*b + 44. Let h(x) = x**3 + 2*x**2 - x + 1. Let m be h(-2). Suppose -4*i = -4*y + m*y + 20, -3*y = i - 8. Solve -y*r = -r - b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}