diff --git "a/data/dm_maths/full_data_2/1610_11255.jsonl" "b/data/dm_maths/full_data_2/1610_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1610_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 2*d - 294 = -3*c, -3*d + 347 + 84 = 2*c. Suppose q + w + 25 = 2*q, -5*q = -w - d. Solve -2*g - 11 = v - 2*v, -3*g - q = -4*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 18*c**2 + 16*c + 15. Let i be a(15). Suppose -8*w = -3*w + 5*s - i, 559 = 3*w + 4*s. Let n = w + -115. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/18)\/(19\/((-1976)\/(-3484)) + -30)?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113*l**6 - 47588*l**5 + l**3 - 27*l**2 - 206128 wrt l?\nAnswer: -13560*l**3 - 2855280*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1220000210000210?\nAnswer: 1220000210000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - k**4 - 5*k**4 + 0*k**4 - 3*k**3 - 2*k**4 + 3*k**3 + k**4 + k**4 - k**4 + (2*k + k - 5*k)*(-3*k**3 + 3*k - 3*k).\nAnswer: -k**4 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 3065.\nAnswer: -8\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 6\/(-3))\/1. Suppose -f = -2*d + 4*i - 7, 3*d - 4*i + 8 = 0. Let c be d\/5*(-15)\/3. Calculate the greatest common factor of c and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*q*s*v**2 - 19055*q*s*v - 3*q*v + 2347*q + 25*v**2 + v with respect to s.\nAnswer: 4*q*v**2 - 19055*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -0*u - u. Suppose -1 - u = -5*b. Let p be (-1 - (2 + -4)) + 1*2. Solve 2*f = p*n + 5*f + 15, 0 = n - 4*f - b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 97848400 to the nearest one million.\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7349.334mg?\nAnswer: 7349334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 9 + -3 + -8 + 6 + 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -27*r**2 - r. Let i(q) = 2*q. Determine i(s(x)).\nAnswer: -54*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6360.2 rounded to the nearest 100?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 447 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 325320*k**2 - 13666086*k + 143503164.\nAnswer: 2*(k - 21)**2*(k + 162702)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 6 - 26. Find the third derivative of 27*g**t - 4*g**2 - 27*g**5 - 4*g**6 wrt g.\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 divided by 2\nAnswer: -111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 19044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18180*s**5 + 11*s**4 - 2*s**2 + 90602.\nAnswer: 1090800*s**2 + 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168630 is divided by 2503.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -3. Suppose 0*f + f = v. Suppose -3*l - 106 = -f*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**4 - 2*j**4 + 39 + 5*j + 2*j**3 + 0*j**3 + 5*j**4 - 31 as a*j**4 + v*j**3 + g*j + z + u*j**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4084634 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**4. Let b(d) = 9*d**4 + 4. Let v(a) = -b(a) + 2*i(a). What is the first derivative of v(c) wrt c?\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 0*u**2 - 2*u**2 + (4 - 6 + u + 3)*(u + 4 - 4).\nAnswer: -2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.26 + -1.74. Let u = d - -5. Are -1\/3 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 + 4 - 5*g**2 + g**2 + 0*g**2.\nAnswer: -9*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 641002?\nAnswer: 4487014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17553\/14 - -1250. What is the common denominator of -5 + (-437)\/(-108) - 2\/(-9) and t?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(120)\/sqrt(6) + -1 - (sqrt(405)*2 - ((-6*(sqrt(45) + 0))**2 + sqrt(45)))) + 4.\nAnswer: -13*sqrt(5) + 1627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5012 divided by -2.\nAnswer: -2506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezahvzy. Give prob of picking 1 v, 1 h, 1 y, and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/644 and 9\/5?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127915?\nAnswer: 5, 25583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 0*q**2 - q**2 + 6*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + 2083?\nAnswer: 2063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -802022 or -0.2?\nAnswer: -802022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 12*s**3 + 2*s**2 + 6*s - 9. Is x(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7299*c - 5603*c = -72928 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021011 - -2?\nAnswer: -1021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = 5*w + 88. Suppose c - 4*v + 2 = -3*v, v - w = 3*c. What is the fourth biggest value in c, 4, 2.5, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 3*t - 8 + 6, 0 = -2*n - t - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3672, 11\/8, -1\/35?\nAnswer: -3672","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1639 - 1636. Solve -2*w = -3*w - v - 7, -9 = -w + x*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1483942416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 9*d + 7069 + 8180 = -209*d for d.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1138, -4559, -10260, -18241, -28502, -41043?\n\"Answer: -1140*b**2 - b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2255\/1284 - 2\/321. Let d = p + -2. Let s = 0 - 1. Which is the closest to -1? (a) -2 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/4))\/s**(3\/4))\/(s**(-1\/4))**(-36)*(s**(-1\/3)\/(s*s*s**(-3\/8)))**(-50) assuming s is positive.\nAnswer: s**(1067\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*o + 103890, q + 7916 - 28706 = 4*o. Suppose 1550 + q = 4*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 2. Let s be 48 + -46 + 2*2. Let b(g) = -10*g - 12. Let p(d) = s*h(d) - b(d). Let y(q) = 7*q**2. Calculate p(y(i)).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 177390758.1 and 0.5.\nAnswer: 177390758.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312535909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*x + 123*x = -1536. What is the greatest common divisor of x and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + p - 5*p - p**2.\nAnswer: -p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 1024.319.\nAnswer: 1029.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -453350144?\nAnswer: -453350144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - u = -2*u + 551, -2*f = -2*u - 278. Let x be (-21)\/3 + 4 - 58. Let h = f + x. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187929298 and 872?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*n + 74, 0*v + 25 = 2*v - 5*n. Suppose 98 = 2*w - 4*b, 5*w + 0*b - 210 = 3*b. Let y = w - v. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 3*y - 12168, 293*y = -3*t + 297*y + 7266. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 3:53 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41657, 3, 66 in descending order.\nAnswer: 41657, 66, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 41*s**2 + 17*s + 232. Let z be g(-8). Is z at least as big as 2720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrx when three letters picked without replacement from irrririiilrx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3939659830?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/15 and 59\/(-12)*-10*2\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -13 + o**2 - 22*o + 5 + 25*o + 0*o**2. Let n be d(-6). Suppose -6*w - 3*i + n = -5*w, -i = 4*w - 29. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 22*g + 55. What is the remainder when 100 is divided by v(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1\/12 (c) 2 (d) -1.3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51.5 + -0.08.\nAnswer: -51.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -23114 * 0.2\nAnswer: -4622.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = -x + 39, 4*x - 184 = -5*q. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2 + 56800*p + 806560000 = 0.\nAnswer: -28400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -384 - -418. Calculate the remainder when a is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1497 and 3279.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5902, -4848, -1994, 3560, 12714, 26368, 45422, 70776?\n\"Answer: 150*a**3 + 4*a - 6056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emew when four letters picked without replacement from {u: 4, w: 1, m: 1, e: 7}?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 0 + sqrt(11) + -4 - ((sqrt(132)*-1)\/sqrt(12))**2 - ((2*sqrt(1100))\/sqrt(4))**2*3.\nAnswer: -3315 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13131 divided by -8?\nAnswer: -13131\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4431?\nAnswer: 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 560 - 559.9. Are 2\/495 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*z - 11, -z - 3*z = -3*u - 6. Suppose -13 = 5*x - 3*v, z*v = 4*x + 12 - 1. Sort -39, 1, x in increasing order.\nAnswer: -39, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73100711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/6036 or -1?\nAnswer: 1\/6036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-10))\/((-567)\/(-1170)). Let o = -19\/21 - x. What is the nearest to o in 1, -4, 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11339 and 9326081.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - i = -25 + 8, -4*v + 3*i = 39. Let t be (-10)\/v - (-4)\/12. Suppose -6 = -t*n + 4. Solve -15 = -4*a + n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 - (23 - 91 - -51)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -29583368 + 29583368 - 254*p**2. Let l(h) = -6*h. What is v(l(n))?\nAnswer: -9144*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Suppose d = -4*a + 24 + 124. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217001 minus 77422.781?\nAnswer: -294423.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-12)*(q\/q**(-1\/4))\/(q**0\/q) assuming q is positive.\nAnswer: q**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12527747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 2*s**2 - s + (2 - 2 - 5*s)*(1 - 1 + s) + s**2 + 5*s**2 - 4*s**2 + s**2 + s**2 + 0*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 6*v + 948. Does 27 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1893\/19171 or 0?\nAnswer: -1893\/19171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dc - -1316c?\nAnswer: 13070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38762 - 1446?\nAnswer: -40208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -465*d + 2794. Let j be f(6). Solve 16 - 1 = -u + j*m, -5*u + m = 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156323 (base 7) in base 9?\nAnswer: 46512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + 44. Let i = v + -103. Is i < -317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*r + 16*r + 60*r)*(6*r + 3*r - 5*r).\nAnswer: 564*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 188*o**4\/3 + 17*o**3\/6 - 3*o**2\/2 - 20*o + 6. Find the second derivative of w(y) wrt y.\nAnswer: 1504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 10 = -5*k + 2*k, -13 = h + 4*k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 436550.4 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m - 45*m + 4*s + 48 = 0, 0 = 3*m - 2*s + 11 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27403 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1014, -777, -134, 1119, 3186, 6271, 10578, 16311?\n\"Answer: 34*m**3 - m**2 + 2*m - 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41e (base 16) to base 10.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -797*i - 1026*i + 31 + 7 - 38 to the form z + r*i and give r.\nAnswer: -1823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 514*z - 10650. What is f(-20)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h - h - 1)*(-5*h - h + 0*h).\nAnswer: -6*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 3 + 3)*(1992 + 68*c + 1536*c - 999 - 993) as y*c**2 + b*c + h and give y.\nAnswer: -1604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-146)\/584)\/((-1)\/(-3))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1966*c - 2*c**2 + 6*c**4 - 8*c**4 - c**4 + 6*c**4 + 4*c**2 as l*c + b*c**2 + k*c**4 + g*c**3 + m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -26. Let h = -7.4 + q. Let a = 3.5 - 3. What is the nearest to 2 in a, h, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbgybybgygggbgbb. What is prob of picking 2 y, 1 b, and 1 g?\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9904 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t + 13*t - 61789 + 10594 - 2*t**3 - 6104.\nAnswer: -2*t**3 - 57299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 135, -6\/167, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29522687592 - 14*t + 29522687592.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 + 49 + 79 + 2*j**2 - 4*j. What are the prime factors of c(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d - 19. Calculate q(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396303280788 + 396303280788 - 7*r - 10*r.\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 3*u**2 - 5*u + 25. Let g be z(3). Let i(n) be the first derivative of n**3\/3 - 5*n**2 + 5*n + 26. What is i(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.743 - -0.043. Let z = -7.7 - p. Let l = 199\/140 + -6\/35. Which is the third biggest value? (a) z (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194315103 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 6 = 3*d, 5*u - 188*d - 11 = -184*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 6. Let h be r(-6). Suppose 3*j - 32 - 130 = h. Calculate the highest common factor of j and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136.1 + 124. Let g = 11.1 + r. Which is the biggest value? (a) 12 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*x - 28 = 55*x. Let y(l) be the first derivative of 2 - 3*l + 3*l**x - 6*l**3 - 3\/5*l**5 + 6*l**2. Factor y(p).\nAnswer: -3*(p - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 14 - 30 = -v, 24 = 2*z + 2*v. Suppose -3*g = -4*h - 1, 2*h + g + 1 = z. Let b be 1*3 + h\/2. Solve b*j + 18 = -s, 0*j + 3*s = -j - 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3\/3 + 11615*i**2\/3 - 23227*i\/3 + 3871 = 0.\nAnswer: 1, 11613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2900 divided by -725\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.208 + 0.21021. Round q to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 5:48 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2930 (b) -5 (c) -42\/13 (d) -0.4 (e) -4 (f) 0.8 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 78. Suppose 0*i - i = -r. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8460.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10883, 21827, 32757, 43667, 54551, 65403, 76217?\n\"Answer: -l**3 - l**2 + 10954*l - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1376 and -77\/860.\nAnswer: 6880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2.03. Let r = 0.97 + p. Let d = -5 + r. What is the closest to 1 in d, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -626103 - -626833.0363. Let r = -730 + h. Round r to 3 decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - ((15 - (-3 + 6)) + -12)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**3 + 20352*z**2 + 1559748*z + 29717520 = 0.\nAnswer: -38, 6860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1158 + 2175 + 1763)*(-6 + s + 6) in the form g + u*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(0 - 13 - 18)*(-60*a + 22*a + 24*a) - 2*a + 2*a + 2*a + (-a + 1 - 1)*(-4 + 2 + 0) + a - a - a.\nAnswer: -865*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/29306 + -117827\/17671518. Is d at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 375664?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 212092.65 hours in days?\nAnswer: 8837.19375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = 3*l - 13*z + 17 - 58 - 148, 2*l - 2*z = 188 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 4. Suppose -58 = 8*z - 2. Is 15 a factor of m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p + 2 - 2 + 2. Let u be w(2). What is the least common multiple of u\/3*(0 - -3) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*f**3 - 2*a**2*f*w - 5667*a**2*f - 901*a*f**3*w + 3*a*f**3 + 4*f*w wrt a.\nAnswer: -4*f**3 - 4*f*w - 11334*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (43 + -72)) + 18\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 45 = 5*t. Let j(l) = l**3 - 4*l**2 - l - 5. Let s be j(5). Let h be (t - s)\/((-4)\/2). Which is the biggest value? (a) -4 (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -274*d + 9437. Give b(37).\nAnswer: -701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 + 59. Let d = 145 - f. Solve 14 = -3*p + d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2 + 9 - 8*f + 6 - 5. Let a be g(1). Solve 5*w - 19 = 2*l, l - 3*w - w + 17 = a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 12, h: 1}. What is prob of sequence vvvv?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0\/(-3))\/(-3))\/1. Suppose p - 22 = -4*s, -s - 4*s + 5 = o. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from bvbsssfsmbfbsm?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o + 35 = 0. Suppose 3*s = 3*q + 66, -5*q + 70 = -2*s + o*s. What is the remainder when s is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19312969*f**2 + 9656528*f**2 + 9656442*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**4 - b**3 - 2*b. Let x(f) = -28*f**4 - 1260*f**3 - 19*f**2 - 15*f. Let l(y) = -10*v(y) + x(y). Find the third derivative of l(w) wrt w.\nAnswer: 48*w - 7500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82.2 + -78.2. Which is the nearest to -3? (a) -5 (b) q (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*z - 24 = 0, -v - 9 = -2*v - 2*z. Let k(f) = -f**2 + 6*f + 2. Give k(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 578 divide 1516094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**2 - 44*c - 64 - 92 + c**2 + 44 - c**2 = 0 for c.\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Suppose -2*z = -5*i + 9, 2*z + h*i = -0*z + 12. Factor 8*l - 3*l**3 - 4 - l**3 + 2*l**2 + 5*l**z - 7*l**2.\nAnswer: (l - 2)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.1 times 4.78?\nAnswer: -865.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 706251 and 14196.\nAnswer: 2825004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -0.72, -1, 150\/7?\nAnswer: 150\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -103891, -103631, -103371, -103111, -102851, -102591?\n\"Answer: 260*c - 104151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1816836 is divided by 265.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 25 and 51\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 43 = -49. Let q be (21\/(-14))\/(l\/(-12)). Solve 0 = 4*p + 2*o - q, 5*p - 2*p - 5*o - 37 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 155?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 - 25*h**3 - 37*h**3 + 23*h**3 in the form i*h + d + r*h**2 + w*h**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w - 10. Let j be p(-4). Suppose 4*x = 4*k - 8, -j*k + 5*k + 10 = -5*x. Let f be (-1 + -1)\/((-3)\/(-6)). Put x, f, 5 in increasing order.\nAnswer: f, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16279 (base 10) in base 3?\nAnswer: 211022221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 3430*f**2 + 406700*f - 13377000.\nAnswer: 5*(f - 546)*(f - 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 12 = -2*r, 0 = s + 4*s + 3*r + 46. Calculate the remainder when (12 - 2)\/((-2)\/(-4)) is divided by (s\/(-6))\/((-16)\/(-132)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, g: 8, e: 1}. Give prob of sequence ged.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503.4351 milligrams to nanograms.\nAnswer: 503435100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11673\/23 or 507?\nAnswer: 507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22612?\nAnswer: 2, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -1.3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, q: 17}. Give prob of picking 1 q and 3 s.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 438916460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 53, 69, 103, 161, 249, 373?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 14 = l, 0 = 4*z - 5*l + 2*l + 3. Suppose -2*y - 1732 = -z*i - 2*i, -4*y = -4*i + 3452. Let v = y - -1474. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15124 - 1?\nAnswer: -15125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 637065 divided by -7.\nAnswer: -637065\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5785098, 5785106, 5785116, 5785128?\nAnswer: 5785142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54382367369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1141 and 2275.\nAnswer: 370825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-693)\/1540)\/(6\/10). Let c be (-1)\/21 + 1\/3. What is the nearest to c in 0.3, -5\/3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 8:29 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230110220 (base 4) in base 15?\nAnswer: -8b6e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) - (-13)\/3. Solve 4*q + j + 8 = -j, 3*q + y*j = 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s**3 - 25*s**2 + s + 45. Let f(r) = -r**3 - 2*r**2 + r + 5. Let k(j) = -b(j) + 8*f(j). Determine k(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/36*4*21\/77\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-8)*(-8)\/(-6)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -777\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -7*v**6\/225 + 2*v**5\/25 - v**4\/30 - 2*v**3\/45 + 2*v - 33. Let u(r) be the first derivative of g(r). Factor u(l).\nAnswer: -2*l*(l - 1)**2*(7*l + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 12*o + 54 = 9*o, -6*d + 46 = -2*o. Let x(u) = -1 + 2*u - 4 + u**2 - 1. Calculate the remainder when x(5) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 + -1030?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1274 = -2*y + 230. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26714 - -56176. Does 79 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23681*c - 23681*c + 3 + 209*c**2 - 1 to k + z*c**2 + q*c and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 151807493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109279091 is divided by 140.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 66?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6256 - 15?\nAnswer: -6273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -991*w - 21903. Give t(-22).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) 6 (c) -3 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*j - 0*x - 95, 73 = 4*j + x. Suppose -6*h + 18 + 6 = 0. Suppose h*n = 69 - 21. What is the greatest common divisor of j and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 9*c**2 + 4*c - 18. Let n be h(9). Solve 0 = j - 4*i + n, 2*j + i - 2*i + 1 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.52 to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 17. Suppose q*l - 95 = 262. Let z = -20 + l. What is the remainder when z is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 27 + 129. Suppose -u + 24 = -m. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 51580 = -33*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*p + 2644 - 223 = 241 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1234 + -1732. Let w = s - -494. Suppose 4*d = n - 64, -4*d - 64 = 6*n - 3*n. Put 3, d, w, -3\/2 in descending order.\nAnswer: 3, -3\/2, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4551069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k\/((k\/k**9)\/k)*k)\/k)\/((k\/(k*k\/k**11))\/k))**(-2\/31))**(-13\/3) assuming k is positive.\nAnswer: k**(52\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**3 + o**2 - o. Let z be m(1). Suppose -11 = -4*d - z. Solve -d*b + b - 2*l = -8, -4 = -3*b + 4*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*q - 3 - 13 = 0, -5*q = -3*d + 48. Suppose -2*x = 2*i - 14, 3*x + i - d = 1. Solve j - 2*w = 5, -x*w + 2*w - 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 1053.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*f**3 - 464*f + 228*f + 236*f.\nAnswer: -46*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-3 - -5) + (931 - 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5)*((-3)\/13 - (-369)\/(-936)). Let g(a) be the first derivative of q*a**4 - 5\/3*a**3 - 2*a + 21 + 1\/2*a**2. Give g(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 96*a**2 - 1375*a + 2659. Determine h(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 4*k**2 + 2*k - 2. Let y be f(6). Let l = -5915\/1164 + -1\/582. What is the common denominator of 2\/(y + -2)*-6 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1608153 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2941620971?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -18*w**2 - 13*w + 1183. Let b(h) = -3*h**2 - 2*h + 182. Let i(p) = -13*b(p) + 2*u(p). Let j(a) = 27*a - 131*a - 17*a. Calculate j(i(r)).\nAnswer: -363*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 18*m - 4. Let l be j(-12). Let g be -50*(-9)\/((-9)\/l). Round g to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 70.41149 millimeters?\nAnswer: 70411490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + g + 31, 53218*g - 53217*g = t - 7 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - d**2 - 2*d + 3. Let b be a(2). Suppose -15 = -4*s + m, 0 = -3*s - 5*m + 3*m + b. Solve y + 15 = -4*u - 0*y, -u = -2*y - s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 1:36 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/45045 and 111\/2032030?\nAnswer: 18288270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (27\/9)\/((-15)\/35)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 438090121?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, and 1 f when three letters picked without replacement from mfcamfkjj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93518 and 251712.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*s + 45*s + 104077 = -68303. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.209699ml in litres?\nAnswer: 0.009209699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*2 - (-1)\/(411\/(-51) - -8). Let i(v) = -2*v - v**3 + v + v**2 + 22 - 2*v. Is i(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 15. Let a be x(9). Let l = a - 5. Let b be -5*(-2 - l - -2). Let p(h) = h**3 - 5*h**2 + h + 7. Determine p(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 30 = -3*n, 5*n = 4*s - 2*s - 31 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -2, 154 in ascending order.\nAnswer: -2, 1, 2, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/(-171) + 287\/504.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 1)*((-3 + 2*u + 3)*(64 - 146 - 216) + 4*u - 2*u - 3*u + (1 - 1 - 2)*(1 - 2*u - 1)) in the form m*u + b and give m.\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + o)*(-o**2 + 2 - 2 + (-2 - 4 + 15)*(-o - o**2 + o) - o**2 + 5*o**2 - 2*o**2) to the form v + y*o + t*o**2 + c*o**3 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 110 = 2*o. Suppose -c = -2*c + o. Calculate the smallest common multiple of c and 16*((-5)\/(-2) + -2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/18 and (-1456)\/48*((-82)\/(-40) - 2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.2. Let s be (2\/(-8))\/((2\/(-8))\/1). Sort 2\/15, m, s in decreasing order.\nAnswer: s, 2\/15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.269 + -0.131. Which is the nearest to 0? (a) -32 (b) 2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39401011 and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssscqccssksccssksc. Give prob of sequence qs.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*r + 8210, 4*n - 8707 = -5*r - 527. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46\/5 - 9. Factor -u*v**4 + 0 + 0*v + 1\/5*v**2 - 1\/5*v**5 + 1\/5*v**3.\nAnswer: -v**2*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/2015 and -40\/17267.\nAnswer: 1122355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 38*o**2 - 18*o - 5. Let d be t(-12). Let h = d - 3368. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-7))\/(13\/(273\/6)). Let o(p) = h*p**2 - 60*p + 42*p + 31*p + 9. Is o(-11) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 158, 726, 1936, 4028, 7242, 11818?\nAnswer: 17996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 2*r**2 + r + 2. What are the prime factors of t(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43919712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*z - 102 = 0, 3*z = -5*l - 325 + 94. Let s = l + 79. Round s to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 5*y + 20 + 10 = 0, 5*v + 40 = -5*y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*s + 12, 19*d = -4*s + 88. Solve 0 - 1\/2*a**3 - 1\/2*a**d + 2*a**2 + 2*a = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (1 + -22 - -12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21333 is divided by 21322?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1992, -3815, -5622, -7401, -9140, -10827, -12450, -13997?\n\"Answer: 2*d**3 - 4*d**2 - 1825*d - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 3*b - 6. Let g be j(8). Let q be g\/12 - (-4)\/24. Suppose q*t = 2*t + 3. Solve 7 = 2*z - n, n = 3*z + t*n - 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1415 is divided by 236.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -11*k + 46. Calculate y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/4*1 + (1 - 2). Let f(z) = -2*z**d - 9*z + 12*z + 3*z**2 + 4 + z**2. Is f(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(-2)\/(8\/(-50)). Suppose -4*g + 2*g = -118. Let k = -34 + g. Calculate the highest common factor of k and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31215, 32072, 32929, 33786, 34643?\nAnswer: 35500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1))**12*(l*l**(-1))**(-2\/85) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-15 + 3 + 5 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 3*y**3 - 2*y - 4*y**2 + 0*y + y**3 as z*y + l*y**2 + t*y**3 + s and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 51\/99109 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 4*t + 1. Let o be m(-8). Let r be ((-9)\/(-15))\/((-1)\/(-5)). What is the greatest common divisor of o and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(-3*(-2 + sqrt(396)) + 4*(0 + sqrt(396)))*6*-6.\nAnswer: -432*sqrt(11) - 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3910*r = -594 - 22866 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 14. Let t(d) = -d + 3. Let u(n) = 3*b(n) - 14*t(n). Let g(x) = -4*x + 7. Let q(p) = p - 2. Let k(h) = -4*g(h) - 14*q(h). Give u(k(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10964530 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (-1*sqrt(99) - sqrt(99)))*5 - (0 + sqrt(99) + -1) - (1 + (sqrt(99) + 3)*-1))**2.\nAnswer: -90*sqrt(11) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 1\/14, 0.1 in increasing order.\nAnswer: 1\/14, 0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r + 1. Suppose -8*c - 4 = -4*c. Let z(u) = 2*u**2 + 4*u + 3. Let w be z(c). What is p(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l + 53. Let o(z) = -4*z - 27. Let i(n) = -7*o(n) - 3*s(n). Is 15 a factor of i(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h + 38 + 107 + 55 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-7 - (-8 - (-5 - 0)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 11 - 1 = 0. Let h = 27 - 20. Let t = w - h. Which is the smallest value? (a) -2 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19354 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39416 is divided by 245.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3948)\/189 + (-20 - -66) + -26?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 7*l + 3*t - 7, -5*l + 3*t + 1 = 0. Let b = 6.96 + -7. Let n = b + 0.14. What is the second biggest value in l, n, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 17. Find the first derivative of -19*n**3 - 6 + 11 + v*n**3 wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/192 and 127\/288?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, and 1 b when three letters picked without replacement from {q: 3, t: 2, w: 1, h: 4, b: 1, e: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 638049733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, b: 6, d: 8}. Give prob of sequence ddbb.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 74, 166, 416, 902, 1702, 2894, 4556, 6766?\n\"Answer: 13*q**3 + q**2 - 2*q + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/45 - 23\/((-14490)\/224). Let o = 14 + -21. Let c = o + 5. What is the nearest to c in f, 4, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -32 (c) -9 (d) 5 (e) 0.1 (f) -1\/60\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 13. Suppose -2*i = -4*b - 9158 - 14828, -w*b = -2*i + 23982. List the prime factors of i\/121 - (6\/(-11))\/(-3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2317\/22 + -209\/2. Let r = 1 - 1.2. Let g = -1.0644 + 1.0644. Put g, r, s, -3 in decreasing order.\nAnswer: s, g, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*p + 0*p + 14*p)*(0*p + 2*p - 3*p)*(1 - 2 - 2)*(-14*p**2 + 37*p**2 - 19*p**2) in the form j*p**4 + f + v*p**2 + x*p + m*p**3 and give j.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 222633.8.\nAnswer: -222632.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.305*252\nAnswer: 76.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 7*c = -6*c + 1160, 3*c - 3 = 0. What are the prime factors of b?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -28. Solve s + 2 + p = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ae5 - 23?\nAnswer: -2b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1424 and 7328171.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(320) + 1)**2*1.\nAnswer: 16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/174 and 121\/366?\nAnswer: 10614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 75 = 5*x, 3*x - 4*n = 6*x + 45. Let z(a) = -a**2 - 10*a + 15. Let h be z(x). Let d = 60 + h. Solve -3*o + 6 = -d*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 434 + -435. Is f equal to -77.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czl when three letters picked without replacement from bbllbdbzllcdbllcll.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**3 + 19*u**2 - 56*u + 6. Calculate the lowest common multiple of s(3) and 33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992623 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: Let y(d) = 45941*d**3 - 30*d**2 - 85*d - 496. Let i(t) = 6563*t**3 - 4*t**2 - 12*t - 73. Let r(q) = 15*i(q) - 2*y(q). Find the second derivative of r(g) wrt g.\nAnswer: 39378*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((19 - 4) + -14)*2\/(-17).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(2\/5)*s*s*s*s**(-7)*(s\/((s**(-1)*s)\/s))**(-1\/13) assuming s is positive.\nAnswer: s**(-179\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2033220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162 - -375. What are the prime factors of u?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**26\/(u*u**(-2))*((u\/(u*u**(-25)))\/u)\/u**(16\/5) assuming u is positive.\nAnswer: u**(239\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/25*(-25)\/5*-1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 5*i - 4*t, 3*i + 0*i + t = 59. Is (i\/2 - 1)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, 1, -179, 6 in ascending order.\nAnswer: -179, -8, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -1*sqrt(704) + sqrt(704))**2 - (-2 + sqrt(11))*3 - ((sqrt(1100) + 3*sqrt(1100) + sqrt(1100))*-4)**2.\nAnswer: -439290 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*v + 73*v - 13320. Does v = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 25*q + 59. Let i(z) = -z**2 + 12*z + 29. Let c(b) = -5*i(b) + 2*j(b). Let k be c(12). What is the third smallest value in k, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31.35 - -33.35. Let u = -16.6 - -15. Which is the biggest value? (a) u (b) r (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2. Let l(y) be the first derivative of y**2\/2 + 5410*y + 4050. Give z(l(s)).\nAnswer: -2*s**2 - 21640*s - 58536200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 135971773 to the power of 1\/2, to the nearest integer?\nAnswer: 11661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156096*r + 0 - 156196*r + 0 + 312697*r.\nAnswer: 405*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06307 and 8569.8?\nAnswer: -540.497286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 817972 divided by -2?\nAnswer: -408986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 1 (b) -0.761 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 194 + 65 = 0. Let p(m) = -g*m - m**3 + 4*m**2 + 43*m. Let z(u) = 3*u**3 - 11*u**2. Give -11*p(o) - 4*z(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/36)\/(-1))\/((-4)\/(-18))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 13. Suppose 0 = -3*v + v - z + 6, z = -y*v + 18. Let d(u) = v*u + 4 - 8 - 3*u. Determine d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*-1)**2*-5 - ((sqrt(396) - (1 + sqrt(396) - sqrt(396)))*3)**2) + (-4 + (sqrt(396) - (1 + sqrt(396))*1))**2.\nAnswer: -5528 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-7) - 1952\/(-28). Suppose -u = 4*u + l. Let z = -10 - u. Solve -j = -0 - z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1652 - 7784.145299.\nAnswer: -9436.145299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 3 = 9*a. Let s(p) = 2*p**2 - 3*p + 4. Let w be s(3). Suppose -a*q - 7 + w = 0. Solve -2*o + o = -3*y + 20, y - q*o = 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 70. Suppose 10 - 126 = 5*i - s, i = 3*s - 26. Let x be a(i). What is the greatest common divisor of x and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j\/(j*j*j*j**(2\/9)*j*j*j*j))\/j)\/j*j\/j**(-4\/9)*j)**(-46) assuming j is positive.\nAnswer: j**(1978\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/92 and 31\/2093.\nAnswer: 8372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 239547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 103 - 35. Find the second derivative of 9*j**5 - x*j + 10*j + 20*j**5 wrt j.\nAnswer: 580*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v - 6. Suppose -v = -4*b + 5*b. Is 20 a factor of 246\/4 - (35\/10 + b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -25, 1232, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p - 17. Let r = 8 - 21. Calculate the remainder when l(r) is divided by 1*(-8)\/32*-68.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222 - 172 - (44 + -4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x + 150. What is o(-7)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from ayaqataq?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20733*m**4 + 68967 wrt m.\nAnswer: 82932*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 2*y - 5. Suppose -6 + 62 = -7*d. Suppose 12 = h + 3*h. Let z(a) = 5*a**2 - 6*a - 14. Determine d*l(n) + h*z(n).\nAnswer: -n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 10:14 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1263\/2105 - 48142\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(((-2)\/15)\/(-1)). Suppose 0 = -j*o + 29*o + 101. Suppose -103 = -4*y - y + c, -o = -5*y + 2*c. What is the greatest common divisor of y and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8 = 0, 3*c + f = 6 - 2. Let w = -288 - -595. Suppose -j + c*g = 4*j - w, 2*j - 3*g = 114. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -20 - 41 - (1\/(-1) - 2). Let g = p - -57. What is the tens digit of 4 - (2 + -1) - 173\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**4\/114 + 52*c**3\/57 + 100*c**2\/19 + 15*c - 9. Factor g(w).\nAnswer: 2*(w + 2)*(w + 50)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/3155 + -4163\/2524. Calculate the common denominator of -79\/12 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 5) + (-2 - -2) + -530. Let x = -365 - n. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -411.5 take away 73314896999?\nAnswer: -73314897410.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10201, -41117, -92651, -164809, -257597, -371021, -505087?\n\"Answer: -l**3 - 10303*l**2 + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1576\/5910*780\/(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333 is divided by 115.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, 553, 2115, 5165, 10201?\n\"Answer: 83*t**3 - 3*t**2 - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.693 + -0.693. Which is the nearest to 0? (a) 2\/7 (b) -0.1 (c) p (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 178914 and 3.\nAnswer: 178914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s**2 - 3*s - 1. Determine t(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3052 and 3488.\nAnswer: 24416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.5, 26.1, 7, -0.5, 3\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 + 11*u - 25. Let a be c(2). What is the greatest common divisor of a and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3952 - -9393. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.2 (b) 0 (c) 11\/12 (d) 5 (e) -3\/7 (f) 0.045\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107784137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**13*b))\/(b\/(b\/b**(2\/15)))*b\/(b**(2\/35)\/b*b)*b*b**(1\/19) assuming b is positive.\nAnswer: b**(-4444\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3\/s)**(-25)*(s\/(s\/s**(-2\/15)*s))**(3\/4) assuming s is positive.\nAnswer: s**(-1017\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 422*j**2 - 6 + 4677*j**2 - 1693*j**2 + 6 + 8073*j**4 wrt j.\nAnswer: 193752*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*k - 9, -f + 2*k + 5 = -2*f. Let g(w) be the third derivative of -w**5\/30 - w**3\/6 + 6239*w**2. Calculate g(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28342 is divided by 138.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001001011100000001111 - 100100?\nAnswer: 10001001011011111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 10. Let a(v) be the second derivative of 0*v**3 + v**c + 2*v + 0*v**4 + 1\/20*v**5 + 0. Find the first derivative of a(j) wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22*4192\/(-12672) - (-1)\/(5\/(-38 - -3))\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (-2 + sqrt(288)*-4))**2*5 - (1 + 4*sqrt(288) + sqrt(288) + 3)**2.\nAnswer: 720*sqrt(2) + 28804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29 + 148e2c?\nAnswer: 148e56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/58210 and 89\/4590?\nAnswer: 26718390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(231)\/(sqrt(11)*1))\/(sqrt(300)*-1))**2 + (sqrt(14) + 1*(sqrt(14) + sqrt(42)\/sqrt(3)))\/(sqrt(160)\/sqrt(5)))*5.\nAnswer: 7\/4 + 75*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v - 38. Let c(b) = 4*b - 42. Let k(w) = -10*c(w) + 11*z(w). Calculate k(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/117 - -34\/117. Let -a*q + 0 - 2\/13*q**2 = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1567 + 1062. Calculate the common denominator of ((-11)\/(-330))\/((-6)\/c) and -89\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 0*b + 136 + 0*b**4 + 0*b**2 - 1\/5*b**5 - 45*b**3 + 4\/7*b**7 + 0*b**6. What is the third derivative of o(u) wrt u?\nAnswer: 480*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1926\/66 + (-12)\/66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -985, -866, -759, -670, -605, -570?\n\"Answer: -h**3 + 126*h - 1110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138622*i**2 - 11*i + 55428.\nAnswer: -277244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 345 and 4545?\nAnswer: 104535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q = 38*q - 441. Calculate the remainder when 587 is divided by q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 21.6 and -41402430015.\nAnswer: -41402429993.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12379.225 and 7.4?\nAnswer: 12386.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41eeb (base 15) to base 16.\nAnswer: -3315e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -1, 34, 105, 224, 403, 654, 989?\n\"Answer: 2*o**3 - 3*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -5*u**4\/12 - 3*u**2 + 13*u + 2. Let f(n) = 14*n**2 + 17. Determine -6*f(g) - 17*o(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 969?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + 60a84?\nAnswer: 60a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*u - 11*u + 5 - 5 as w*u + s and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -98, -325, -704, -1235, -1918?\n\"Answer: -76*d**2 + d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.7 - -547612392.\nAnswer: 547612383.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v - 4795525*v**3 + 64*v - 35*v.\nAnswer: -4795525*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -3, 13, 0 in increasing order.\nAnswer: -3, -1, 0, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + 1) - (0 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 139*n - 126*n + 60 - 17 + 37.\nAnswer: 13*n + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 3 + 2)*(2 + 3 + 0)*(-2*o + o + 3*o).\nAnswer: -240*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, 1, 5, -933?\nAnswer: -933","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862.5863 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, j: 2, x: 2, h: 1}. What is prob of picking 1 s and 1 x?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -5, -3, 0, -15, 3, -63 in increasing order.\nAnswer: -63, -20, -15, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -11 - 4. Let v(w) = -w**2 - 3*w - 2. Let d be v(h). Let o be (375\/9*-1192)\/(d\/(-6)). Round o to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1232 and 178.\nAnswer: 109648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21142422?\nAnswer: 2, 3, 7, 23971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206 - 14*g**2 + 34*g**2 - 2*g - 24*g**2 + (-4*g + 6*g - 3*g)*(-g + 2*g - 3*g) to the form j*g**2 + p + a*g and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 4. Let c be q(0). Suppose -5*j + 24 = -c*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -14\/13 = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 3627013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p - r + 16, 2*r = -5*p + 27. Suppose j + 4*u = -p, -4*j = -u + 3*u - 22. Is (-4)\/(-14) - (-243)\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10320573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 + 8222c?\nAnswer: 82218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 + 144*a**3 - a - 10*a**2 - 3*a**3 + 5*a**2.\nAnswer: 141*a**3 - 13*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -115. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n - 3. Suppose 10 = -v + 3*v. Suppose v*i + w = 0, 0 = 3*i - 0*i + 3*w. Let x be (i + -2 + 0)*1. Give t(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 8. What is the third biggest value in d, -1, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1922\/3 - 633. Let j = -646501\/68 - -38037\/4. Calculate the common denominator of j and x.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + 5*a - 5*a)*(-152*a + 9*a**2 + 152*a) as o*a + b*a**3 + t*a**2 + v and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -1 (c) 2\/19 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*1\/(-3))\/(-2*(-10)\/540)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 5:47 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 13. Let q be y(-9). Suppose q*w - 170 = -w. Suppose l + o = w, 0 = -4*l - 0*o - o + 139. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 3411002521?\nAnswer: -3411002523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22487a2 (base 12) in base 15?\nAnswer: -89ae05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49*g*m**3*r**3 - 2*g*m**3 + 3*m**3*r**3 - m**3*r**2 - 5*m**2*r**3 wrt g.\nAnswer: 49*m**3*r**3 - 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -31. What is the highest common divisor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594272.\nAnswer: 2, 3, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -19*k - 28. Suppose -429 = 2*a + 31*a. What is the hundreds digit of q(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -21*t - 27. Let m(x) = 3*x + 4. Let u = 11 - 11. Suppose -d + 3*d + 8 = u. Calculate d*b(q) - 27*m(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10712343, 21424670, 32136997?\nAnswer: 42849324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 503*u - 50. Let w(k) = 502*k - 40. Determine -3*h(m) + 4*w(m).\nAnswer: 499*m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 12:11 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.972 + -0.028. Let o = -41.94937617 + -0.05100383. Let g = b - o. What is g rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -7. What is the greatest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f + 10*f**2 - 3*f**2 - 3*f - 1. Let u be h(1). Solve -u = -2*l, 6*v + 28 = 2*v + 4*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20282?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -43, -99, -167, -241, -315?\n\"Answer: y**3 - 15*y**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 363*l**2\/5 + 1584*l\/5 + 1728\/5.\nAnswer: 3*(11*l + 24)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/192 and -97\/1616?\nAnswer: 19392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 68 (b) -0.3 (c) 5 (d) 3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 22*w**3 + w**2 + w. Determine j(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 15. Let j(b) = -b**3 - 5*b**2 + 2*b + 5. Calculate j(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.083 (b) -6 (c) 2\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 4*m + 7*m + 3*m + 5*m + 0*m + (5 - 1 - 2)*(0*m + 3*m - m))*(1 + 2 - 1).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -785510 divided by 5?\nAnswer: -157102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7705 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 3*z + 254. What are the prime factors of r(0)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29, -22, -13, -2, 11?\n\"Answer: i**2 + 4*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 18. Which is the biggest value? (a) 2\/5 (b) -6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1321*i**2. Let z(j) = -7*j - 3. Let s(a) = -2*a - 1. Let b(y) = 6*s(y) - 2*z(y). Calculate b(d(m)).\nAnswer: 2642*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3. Let t(b) = -6*b**3 + 8*b. Give 5*r(x) + t(x).\nAnswer: -x**3 + 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -4 (b) -3 (c) 1\/4 (d) -0.4 (e) 112\/423\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Suppose a = 4*x - 100 - 44. What is the highest common factor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 175, 1, 19 in increasing order.\nAnswer: 1, 19, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -49*o - 152. What is the remainder when 747 is divided by m(-4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1122002895 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13172343*k**3*w - 115443*k**3 + 450*k wrt w.\nAnswer: -13172343*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 14*r + 111200. What is r rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6651 + 6651 - 336*n)*((-4 + 4 - 1)*(-1 + 1 - 1) - 4 + 0 + 0) in the form m + f*n and give f.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6996?\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 608\/5 - 121. Which is the smallest value? (a) -4 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*c*o**2 - 10*c*r**2 - 2*o**2*r**2 - 675*o*r**2 wrt c?\nAnswer: -28*o**2 - 10*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6421 rounded to the nearest 100?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/21 + (-26)\/(-273)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20334022 (base 5) in base 13?\nAnswer: -5b620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8117962 is divided by 901995.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8128904 a multiple of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.3 (c) 2 (d) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.2 + -10. What is the smallest value in o, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + k + 17 = 0, -6*k = o - 9*k - 18. Which is the closest to 0? (a) -3\/7 (b) o (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, -4, 1\/4, 2 in ascending order.\nAnswer: -4, 1\/4, 4\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 231428909 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, p: 6, x: 1, t: 3, m: 2}. What is prob of picking 1 t, 1 x, 1 m, and 1 p?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**3 - y**4 + 17*y**2 + 75*y**2 + 11*y**4 wrt y.\nAnswer: 240*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 times -49?\nAnswer: -14161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 15, e: 3}. What is prob of picking 2 e?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p + 5*p + 4*p)*(3 - 3 - 3*p)*(3*p + 2*p - 3*p).\nAnswer: -108*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + 4 + 2*-1. Let c = -3 - h. What is the first derivative of 0 - 3 + 3*a**4 + c wrt a?\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(7) - (sqrt(448) - (sqrt(448) - (sqrt(448) + 1))))*2)**2.\nAnswer: 56*sqrt(7) + 1371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/((-3)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2020, 2143, 2348, 2635, 3004, 3455, 3988?\nAnswer: 4603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3286 - 564. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 365 = -t, 3*t - 592 = -3*n - 1579. Is t less than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12144 = 1995*g + 29*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**5\/12 + 11*g**2. Let q(w) = -2*w. Determine q(o(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 6*f**2 + 0*f**2)*(-f + f - f**3) - 4*f**5 - 2*f**2 + 6*f**5 - 3*f**5.\nAnswer: 5*f**5 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(((-18315)\/110)\/111)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 99913*z**3 + 14*z**2 + 30*z + 8. Let s be x(-2). What is s rounded to the nearest ten thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/3)\/((-271)\/542))\/((-28)\/(-18))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -465\/2 + 230. Suppose -p = 3*z - 5, 0*p + 3*p - 15 = 0. Let i be 11\/(-9) + 1 + z. What is the nearest to -0.1 in 2\/17, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86d1 (base 14) to base 16.\nAnswer: 5b0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -70, -154, -270, -418, -598?\n\"Answer: -16*l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 194*c - 23*c**2 - 369*c + 175*c.\nAnswer: -23*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -2, 2721, 35\/4 in descending order.\nAnswer: 2721, 35\/4, 6, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-444)\/22 + (-2)\/(-11). Let j = l + 26. Suppose 0*v - j = -3*v. Solve -v - 3 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.213? (a) -2\/5 (b) -1\/4 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 13. Let w be 0\/d + -2 + 4. Suppose 0 = w*a - 22 - 22. Solve 3*o + 4 = -3*k + a, -4*o - 5*k = -25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -7*r + 19. Factor -35*f**3 + 25*f**4 - 14485*f - 20 + 15*f**5 + 14405*f - 84*f**2 - 21*f**r.\nAnswer: 5*(f - 2)*(f + 1)**3*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 474*n**2 + 146*n - 1583. What are the prime factors of g(12)?\nAnswer: 5, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-52) - (-8 - (-722)\/(-78) - 5\/3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6969336, 6969348, 6969360, 6969372, 6969384, 6969396?\nAnswer: 6969408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74*n**5 - 17508*n**3 + 2323086*n**2.\nAnswer: -4440*n**2 - 105048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 6*w + 6. Suppose 3*c + 6 + 3 = 0. Let u(q) = q**3 + 8*q**2 + 5*q + 7. Calculate the remainder when u(c) is divided by f(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-47)*n))\/n*n*n\/(n*(n*n**(-17))\/n*n)*n*(n**19)**(-11) assuming n is positive.\nAnswer: n**(-146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 6*x**2 - 2*x - 8. Let i be s(-6). Suppose -24*d + 38*d - 16*d = 0. Let b(a) = -a**3 - a**2 + 4*a. Let t be b(-3). Solve d = 5*g + i + t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 218624452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/59, 0, -0.52, -5 in ascending order.\nAnswer: -5, -0.52, 0, 1\/59, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, 8, 0, -815 in descending order.\nAnswer: 8, 3, 0, -13, -815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 - 11 = 0. Let n = 1 - y. Suppose 3*m + 5637 = n*u - 2*u, -5*u - 3*m = -9427. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.033747843 and -0.2.\nAnswer: -0.0067495686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -n - 5*z, 5*n - 5*z + z = -40. Let k be (n\/(-3))\/(14\/(-21)). Let x(t) = t**3 + 4*t**2 - t - 2. Determine x(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 + 0)*(0*s**2 + s**5 + 0*s**2) + 6*s**5 + 2*s**2 - 3*s**5 - 3*s**2.\nAnswer: 9*s**5 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1051 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**17*g*g**12*g*g**(3\/5)\/g*((g*g\/(((g**(-8\/9)\/g)\/g)\/g))\/g)\/g assuming g is positive.\nAnswer: g**(1597\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, 63, 3, -52, 0 in ascending order.\nAnswer: -52, 0, 3, 63, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -82. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3708.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 47. Suppose -3*w = -5*t + 222, -t + r*w = -0*t - 62. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3*(-1)\/3). Let s be 2\/(-4)*-12*k. What is the third derivative of -3*v**2 + v**3 - v**3 - v**s wrt v?\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -224 - 34*f - 19*f**4 - 61*f + 96*f with respect to f.\nAnswer: -76*f**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 - (16 - 1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 2, 7 in descending order.\nAnswer: 7, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 3909649257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**5)\/s)\/s**(-1\/11))\/(s*s**(2\/5)\/s)**31)**8 assuming s is positive.\nAnswer: s**(-3216\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4.3. Let q = 0 + 0. Let v = -120.04 - -114.04. Which is the closest to q? (a) v (b) i (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p + 112. Let w be r(-19). Let n(q) = 715*q - 106. Is n(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1099 in descending order.\nAnswer: 3, -4, -1099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001219537533 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17424 - 1973*d - 17424)*(-13*d**3 - 8*d**3 + 5*d**3) to g*d**3 + b + t*d**2 + s*d + j*d**4 and give j.\nAnswer: 31568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1231171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + 3*sqrt(13)))**2 + 2 + 1 + sqrt(13) + -5 + 2.\nAnswer: -119*sqrt(13) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 2\/7 (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, 1, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 2:36 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o + 36. Let z be u(-9). Let j(t) = t + 15. What is j(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/230 + -733\/230. Let h = 37\/10 + b. Does h = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:20 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10834.1781 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45543 (base 6) in base 4?\nAnswer: 1211013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -29218*q**2 - 25 - 119 + 29197*q**2 in the form l + i*q + h*q**2 and give l.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 4. Let v be x(0). Sort -5, 2, 0, v in descending order.\nAnswer: 2, 0, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*l - 5*k, -2*l - 4*k = -l - 2. Let n be 0*l\/8 - -3. Suppose n*j + 2*f - 442 = -57, 2*j - 2*f - 250 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 91993081 and 49.\nAnswer: 91993130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 8.23317\nAnswer: -74.09853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32424, 62135, 91846, 121557, 151268?\n\"Answer: 29711*q + 2713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25ad - 9b0?\nAnswer: -2f5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76779?\nAnswer: 3, 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(448)*-3*-3)**2.\nAnswer: 145152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -684b22 + -26?\nAnswer: -684b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*z - 3, z - 60 = -5*v - 4*z. Let t = v - 4. Suppose 3*o = 5*a - a + 8, 2*o - 4 = 4*a. Sort o, -1, t in ascending order.\nAnswer: -1, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14a - 16?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 5 (c) -3 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 12:58 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1743 - 584 - 592 - 577 - 267*t to the form o*t + p and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.144177 centuries in decades?\nAnswer: 81.44177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257238 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15315801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + p**2 + 4*p**2 + 0*p - p**2 + 0*p + (4 - 2*p - 4)*(-4*p - p + 4*p))*(2*p - 2*p - 3*p)*(0 + 0 + 2).\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from rww.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/30 and 453\/(-72) - 10\/(-20).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1007437 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753*v + 71*v + 1 + 5*v**2 - 2 - 137*v.\nAnswer: 5*v**2 + 687*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 - -7) + (3 - 12\/(-14)). What is the second smallest value in -0.3, w, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156450880\/1323 - 118255. Let o = g - 2\/49. Find the common denominator of -59\/21 and o.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644502372 to the power of 1\/3, to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 827123 to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 10*h - 126 = 0. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7928 + 4.189. Let r = h + 0.0658. Round r to 2 dps.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*v - 3 + (-v + 2*v + 0*v)*(-5 + 5 + 1) + 13 - 13 + 14*v + 2*v - 4*v + 7*v to f + q*v and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -19, -18, -11, 2, 21, 46?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -39.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3 + 8*p**2 + 5*p - p**3 - 7*p + 4. Let n be c(8). Let o = -1 - n. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**3\/6 - y**2 - y + 25. Let n be j(5). Factor 2*b + 0 + 1\/2*b**n + 2*b**2.\nAnswer: b*(b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 6*g**2 + 2*g - 4. Let t be a(3). Solve 0 = 5*z - 3*n + 20, 0 = 4*z - 5*z - t*n - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*k - 155*k + 319*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -774986989*t**4 + 27*t**2 - 34*t - 20376 wrt t.\nAnswer: -18599687736*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -20a5?\nAnswer: 20a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(-1 + 1 - 3*q) + 91*q + 55152 - 55152 as v + d*q and give d.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.95 + -0.05. Let k = -0.01 + 5.01. Let r = 7 - k. What is the nearest to -1 in r, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 17726924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4028, 8264, 12500, 16736, 20972?\nAnswer: 25208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 279503340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7967 is divided by 91.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vffz when four letters picked without replacement from {z: 7, v: 5, f: 8}.\nAnswer: 49\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2) + 35\/14. Calculate the greatest common divisor of 7 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 2*n**2 + n**2)*(-1575*n + 347*n - 185*n).\nAnswer: 2826*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-1)\/14)\/((117\/(-26))\/9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 7*t**2 - 2*t + 3. Let a be x(-4). Let l = a + 69. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 486070 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -51 + -36 + 40 - -48.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 17. Let a be 21\/((-1)\/(-6)*h). What is the highest common divisor of 98 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 551616208 and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -24. Suppose 5*n + 58 - 73 = l. Solve -n*r + 5*t = 9 + 10, 5*t = -5*r - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**3\/3 - 2*z**2 + 6*z + 2. Let l be f(-6). Let t(b) = b**2 + 4*b - 3. What is the units digit of t(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717053231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 762, 1532, 2312, 3108, 3926, 4772, 5652?\n\"Answer: g**3 - g**2 + 766*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*s**5 + 10*s**4 - 8*s**4 + 6*s**3 - 23*s**5 + (44*s**4 + 0*s**3 - 46*s**4 + 10*s**3)*(0 + 0 - s).\nAnswer: 14*s**5 - 8*s**4 + 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -90000 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 12*i + 15. Let s be p(-7). Let o be 525 - s - (17 - 15). Suppose 0 = -0*d - 4*d + 4*k + 420, 0 = -5*d + 2*k + o. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -1. Suppose -20 = -u - 4*u. What is the least common multiple of u and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3105, 378 in descending order.\nAnswer: 378, 2, -3105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -16, -26, -32?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/522 and -47\/2088.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247719 is divided by 13762.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**2*s**3 - 187763*b**2 + 255211*b*s**3 + 14*s**2 wrt s?\nAnswer: -24*b**2 + 1531266*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 1127.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12553, -1, -5, 6 in descending order.\nAnswer: 6, -1, -5, -12553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttdjwkpk. What is prob of sequence tdwk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -275980828083 + -3?\nAnswer: -275980828086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 71, 290, 635, 1094, 1655?\n\"Answer: -2*r**3 + 75*r**2 + 8*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**6\/15 + 3*s**5\/10 - s**4\/6 - s**3 + 2*s**2 + 33*s. Factor v(k).\nAnswer: -2*(k - 2)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 28196*v**2. Let i(t) = 10*t**2. Give q(i(b)).\nAnswer: 2819600*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 7. Let t(s) = -s - 7. Let g(u) = -4*c(u) + 3*t(u). Determine g(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/3 - 76*r**4\/3 - 184*r**3 + 944*r**2\/3 + 5120*r\/3 - 2816 = 0 for r.\nAnswer: -6, -4, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/10)\/(2\/(-12))*1. List the prime factors of (27\/(-6))\/((7 - q)\/(-592)).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + 119\/28)*4396 - 4?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 47. Let p(m) = -4*m - 35. Let o be p(-18). Let l = -26 + o. What is the remainder when b is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -2)\/(12\/16). Let f(v) be the third derivative of v**5\/60 - v**4\/6 + v**3 + 2*v**2. Give f(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22604806 rounded to the nearest one hundred thousand?\nAnswer: -22600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + n + 2. Let c(j) = -96*j**2 + 27*j + 54. Let u(i) = -2*c(i) + 54*t(i). Let l(p) = -5*p**2. Give u(l(g)).\nAnswer: 7500*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1243744, 2487556, 3731366, 4975174, 6218980, 7462784?\n\"Answer: -i**2 + 1243815*i - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 27 + 29 = 0. Let w be -2*12\/h - -27. Suppose 213 = 3*p + 4*c, -2*c - 92 = -3*p + 139. What is the highest common divisor of w and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = v - 2*s, -5*v - s = 2*s + 12. Let q be 13 + (1 - 1\/1). Let x = -8 + q. Sort v, -1, x in descending order.\nAnswer: x, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 21*c**2 + 19*c - 16. Let s be l(-20). Suppose 4*h + 2 = -g + 1, -s*g - 4 = 3*h. What is the third biggest value in 2, 2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3534 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: Calculate prob of picking 4 o when four letters picked without replacement from coolollzclooollohoo.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 224.6474+-16\nAnswer: 208.6474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 41*a**5\/10 - 173*a**3\/2 - a**2 - 1035*a. What is the second derivative of u(y) wrt y?\nAnswer: 492*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6030083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {h: 5, w: 7, u: 6, n: 1}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f + f + f - 34. Let z(m) = 50*m - 570. Let t be z(11). Is a(t) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/17))**(-2\/3)*(h*h**(-41)*h)**(-49) assuming h is positive.\nAnswer: h**(32489\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -0.3 (c) 1 (d) 3933 (e) 36 (f) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2\/8 - 312*d - 4896 = 0.\nAnswer: -816, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1855 and 371?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 5:09 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1395*c. Let f(u) = 17*u. Let w(o) = -165*f(o) - 2*i(o). Let z(g) = g. Determine z(w(h)).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 224553318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**3 + 688 - 342 - 348 + 10*y**2 - 10*y**2.\nAnswer: -11*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - l**4 + 1 + (-5*l**2 + 2*l**2 + 2*l**2)*(0 + l**2 + 0) - 2*l**4 - 2 + 2 + (-2*l**3 + 0*l**2 + 0*l**2)*(-1 + 1 - 2*l) + 0*l**4 + 0*l**4 - l**4.\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f + 6, 383 = g + 3*f. Let b = g - 230. Let n = b - 41. List the prime factors of n.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 3*sqrt(891)*4)*-2)**2.\nAnswer: 3456*sqrt(11) + 513280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.10264 * 0.531\nAnswer: -0.05450184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3665 - -3671. What is the remainder when 668 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/2 + 113*r**4\/10 + 1001*r**3\/5 + 588*r**2 = 0. What is r?\nAnswer: -42\/5, -4, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222222012100 - 212?\nAnswer: -1222222020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -540000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 168*v - 1841. Let b be y(11). Suppose -2*r + 0*r = -8. Solve -11*t + r = -b*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 5*x + 4*u - 8 = 0, -2*x - u + 2 = 0. Suppose x = -0*y - 2*y - 10, 4*y = -w + 64. Round w to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2. Suppose 15*b = -b + 96. Let q(a) = -b*a - a + 0*a. Give r(q(o)).\nAnswer: -49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792356 + 663510 + 420759 - 4*a.\nAnswer: -4*a + 1876625","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*v + 3 - 60*v + 27*v as w*v + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 20 = 0, -3*y + 32 = -y + 4*l. Suppose 2*w - 90 = -y. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2267977?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15460 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/69*27\/18. What is the third biggest value in -3, w, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 - 107. Which is the smallest value? (a) 2 (b) g (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-2 + (-25)\/(-4)). Let z = c + 32. Suppose 81*p + 245 - 781 = -293. Solve p*h - z = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 42a + 245a2?\nAnswer: 249cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 equal to 38710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1457*m = 1456*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.2 and 33.06286.\nAnswer: -138.864012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(5) + sqrt(5)*1)**2 + -1 + sqrt(10)\/sqrt(2).\nAnswer: 44 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*v - 2387 + 13924, -5*v + 11513 = -4*c. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7302*i = -7312*i - 30 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express b + b - 34 + 2*b**4 - 2*b**2 + 33 as v + n*b**3 + s*b**2 + f*b**4 + a*b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**3\/3 - 9*p**2\/2 + 19*p + 9. What is the remainder when 21 is divided by y(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 564*m - 569*m + 35, 4*p + 4*m = 28 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 13, 0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4542 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*14 - (-12 - -13). Factor -3*k + k**2 - 13*k**2 + 3*k**4 + 9*k - 6*k**3 - 46 + p.\nAnswer: 3*(k - 3)*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*d**2 + 81*d**2 - 45*d**2 as p*d**2 + a + m*d and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -1)\/3*-111. Let x = 371 - 370. Let f = x + a. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - z. Let f be s(0). Suppose 12 = 2*k - 5*k, 0 = -3*u + 2*k + 8. Suppose u*j = -2*j - 2. Is j bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*k - 205 = -499 + 237 - 825 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 3 + (67 - (45 + 8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144857 is divided by 9053?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -0.05. Let y = 0.0100005 + g. What is y rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 + 0\/2)*0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.0062568 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -738 + 232 = i. Let d = i + 512. What is the remainder when 340 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 - -0.3. Let z = -7.6 - -7.9. Which is bigger: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 30. Suppose 0 = 8*r - o - 19. Suppose r*k - 18 = 3. Solve 0 = 3*p - k*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -1 (c) 0.7 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33\/464 - 1\/116. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 0 + 0*o**3 - o**2 + 0*o + 5\/8*o**4. Is m(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/8*1*4\/(-130).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 + -1.1. Let a = g + -1.296. Round a to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 15 = 0, 62 - 44 = -9*j - 3*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-11 + 24)) + (3 - -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64804339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1163 and -18142.\nAnswer: 21099146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 222\/4 - (-2)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2) + -34 + 32 + -3 + 21 + -82\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5)\/(w\/w**(-7))*(w**(1\/3)\/w)**(-34))**39 assuming w is positive.\nAnswer: w**(2821\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from {q: 2, y: 2, p: 1, g: 5, j: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.8 from 0.021101.\nAnswer: -8.778899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 - 30*w**3 + 57*w**3 - 23*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 6:26 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3634392340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a + 98*a**2 + 38*a**3 - 58*a**3 + 19*a**3 + 2*a - 3*a as k*a + l + m*a**3 + v*a**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13369069.\nAnswer: 7, 853, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9628049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - -7. Let i = -1 + 8. What is the remainder when d is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22, 23, 24?\n\"Answer: w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943 is divided by 875.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 540*j**3 + j**2. Is i(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/16 + -1*(-23)\/4. Suppose 2*p = -4 + r. Is (380\/2 - 1) + p + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 79439.72 millennia?\nAnswer: 7943972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 7:14 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 - 18*k**2 - k - 12. Let z(i) = 5*i**3 - 35*i**2 - 2*i - 25. Let v(o) = 7*h(o) - 4*z(o). Let c be v(-14). Is 505\/c + 6\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*a - 18 + 18)*(-791*a - 1181*a + 61*a).\nAnswer: 45864*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00465821 rounded to four decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -591 at most as big as 169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1836 = 2*f + 4*t, -12*f + 14*f - 2*t - 1836 = 0. Calculate the greatest common factor of 135 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1070829?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 3. Let l be g\/4 + (-7)\/(-14). Is 12 a factor of 8\/(l + (-3)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1139729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.257 (b) -0.5 (c) 7 (d) -2\/45 (e) -0.04 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.36 + -4.92. Let k = p - -3.8. Round k to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - (-9 - -1) - (-165 - -158))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*u = 6, -3*u = 5*h + 354 - 338 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21384288 and 14256192.\nAnswer: 42768576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 332498145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 120063 - 48803 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001143792 rounded to seven dps?\nAnswer: 0.0001144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/((-283)\/10188).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 5*n + n)*(-4*n**2 + 4*n**2 - 2*n**2) - 98 + 98 - 37*n**3.\nAnswer: -35*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 15 + 15. Let g be (o - -20)*((-3)\/(-2) + -1). Does 24 divide (-1062)\/(-27) - (2 + g\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 154*v + 16 + 29*v - 3 + 196*v. Is k(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -56\/3*g + 10\/3*g**4 + 1\/3*g**5 + 0 + 5*g**3 - 50\/3*g**2 = 0.\nAnswer: -7, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4347 and 80.\nAnswer: 347760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20322, -26157, -31992, -37827?\n\"Answer: -5835*f - 14487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*j - 6*j. Suppose m = -0*m - 3*v - 10, -j*v = -m + 30. Solve -m*u + 7 + 3 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2754)\/((-4)\/(-2))*(-7)\/7 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4270486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqzbqbibzqqqqbqq. What is prob of sequence iii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**2 - 180*n - 3*n**2 + 180*n - 324 - 2*n**4 + 11*n**2 wrt n?\nAnswer: -8*n**3 + 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1451212 (base 6) to base 16.\nAnswer: 14a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2765 and 11060?\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*a - 52 = -69*a - 8*g, -4*g - 154 = -9*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1080\/(-460))\/27)\/((-150)\/(-1150))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 13.0385073.\nAnswer: 16.0385073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*l**2 - 239*l**2 + 79*l**2 + 81*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**4\/4 - 8*n**3\/3 + 4*n**2 - 4*n - 2. Let m be c(-9). Solve m*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15 - (1278\/170 + -7)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2672.933 nanograms?\nAnswer: 0.000000002672933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71\/9 + 515\/63. Let s = -62.5 + 61. What is the third biggest value in -0.5, y, s, -1\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + 13*w**2 - 3*w + 8. Determine g(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 238517 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 4633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(4*(-3)\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7336219, -14672454, -22008689?\nAnswer: -29344924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 637192?\nAnswer: 637192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2, 4110, -5 in ascending order.\nAnswer: -5, -2, 23, 4110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*-3*-10. Suppose -1092 - 1113 = -u*a. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 - (-572)\/(-33). Is 4 a factor of 3\/(s\/(-16))*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -30. Let t(v) be the first derivative of 4\/3*v + 1\/9*v**3 + 2\/3*v**h - 1. Suppose t(x) = 0. Calculate x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*a + 1248 = 8811 + 11508 + 837 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0 + 9, -b + 4*f - 24 = 0. Let p be ((-287)\/(-14))\/((-2)\/b). Suppose 0 = n - p - 82. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -12. Suppose -w*v + 0*v = -2, -5*v = -2*h + 37. Let z be 6\/h + (-33)\/(-7). Solve -b + z*b = 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)\/a)**(-2\/21)*a**(1\/7)*(a\/(a*a*a**(2\/9))*a*a)\/a*(a**8\/(a\/a**(4\/7)))**23 assuming a is positive.\nAnswer: a**(10970\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227996 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013012 rounded to six dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 29*v + 35125 = -30*v, v + 5 = 0. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*k, -k + 2 = 2*f - 0. Let i = -2\/53 + -202\/265. Is f at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -19, -2, -1\/2, -14, -2\/15 in descending order.\nAnswer: -2\/15, -1\/2, -2, -13, -14, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 = -l + 8*p, 2*l - 24*p + 11*p = -0*l + 17*p - 666 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3}. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 5) + ((-270)\/(-3))\/(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 61 = 4*d, 9*d - 59 = 4*d - 2*y. Suppose -2*p + 18 = -c, 3*p - 14 = -5*c + d. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*x - 18298 = -3630 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 502698750*i - 786825216 with respect to i.\nAnswer: 502698750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-320)*4*30\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230546207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 5. Let v(w) = -5*w - 14. Let d = 31 + -18. Let k(t) = 5 - 2*t + d*t**2 - 4*t - 14*t**2. Let a be k(-8). Give a*l(m) - 4*v(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**16)\/(m\/(((m**(-7)\/m*m*m)\/m)\/m)))\/(m\/(m\/m**(-1\/19))*m**(-16)) assuming m is positive.\nAnswer: m**(-132\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-98 + 103 - (3 + 29)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + (-51)\/9)*(-6)\/4. Suppose -2*v - 2*s + c = -v, -2*v = 2*s - 6. Is v\/(3 + (-8864)\/2954) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 3 (c) 0.5 (d) 7.5 (e) -0.2 (f) -92\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13129*z**5 + 9*z**4 + 1592*z**2 + 19*z - 9.\nAnswer: -787740*z**2 + 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98807 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91758 - 4*l**2 + 0*l + l - 91767 - 24*l**2 to d*l**2 + u*l + b and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.037?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/504 and -65\/1344.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314493 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.1 (c) -7 (d) 5 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 7061276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-48)\/(-3))*(4 - (-72)\/(-9)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.5, 2\/547 in descending order.\nAnswer: 0.5, 2\/547, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 2\/15*r**5 - r**2 + 0*r - 11\/24*r**4 + 0 - 5\/3*r**3 + 1\/120*r**6. What is the units digit of n(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-14)\/70)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/195*-5 - (-26)\/6. Solve j + 3 = 5*q, -2*q = d*j + 27 - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-one quarters of a millennium?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -187*b - 20734. Calculate c(-113).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30957506 is divided by 510?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*h**4 + 1170*h**3 + 18*h**2 - 17*h + 19 wrt h.\nAnswer: -1464*h + 7020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 823142.3 * 0.4\nAnswer: 329256.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -22*o**3\/3 - 14*o. Does 11 divide m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*(5*sqrt(637) + 5))**2 + (3*-1*sqrt(637) + -1*sqrt(637) + 1)**2).\nAnswer: 1176*sqrt(13) + 104572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.7, 0, -1751, -5 in descending order.\nAnswer: 5, 0, -0.7, -5, -1751","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 119523864.999999 - 119523913. Let b = j + 48. Round b to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 7*h**4 - 4*h**3 + 9*h**4 - 2*h - 4*h**2 to f*h**2 + n*h**3 + p*h + q + d*h**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/546 and 85\/6474.\nAnswer: 45318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 394943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.7. What is the biggest value in j, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 2*h**2 + 8*h + 36. Determine j(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -97*m**2 - 3296*m + 57. Give r(-34).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 37379 = -2*i, 292*t - 294*t + 37372 = 2*i. Is 39 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -162*((-2)\/(-1) + 9\/(-2)). Suppose -j = -21*b + 16*b. What is the lowest common multiple of 10 and b?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1696*b - 840*b - 906*b = 2250 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c - 2, -5*c = 2*h + 4. Let n = 27 - 25. Suppose -h*r - 3*v = 180 - 654, -n*r + 328 = -2*v. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 14 = -6*z. Let y = 9 - z. Suppose -q - 11 = -v, q + 27 = -y*v + 5*v. Calculate the highest common divisor of 20 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 5, -39, -113, -217?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2062004632?\nAnswer: 2, 29, 2081, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 18*u + 2248 = -1301 + 774 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 1102201?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/5 + 12*a**4\/5 + 46*a**3\/5 + 12*a**2 + 5*a.\nAnswer: a*(a + 1)**2*(a + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-3\/2)*i\/i**(-8)*i**(-1)\/(i*i\/(i\/i**(-1\/16))*i*i) assuming i is positive.\nAnswer: i**(121\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 19. Let h be b(-10). Let x be (24\/h)\/(4\/(-12)). Is -8 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -27. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, f: 2, o: 2, z: 1}. What is prob of picking 2 f and 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344.4731 centuries to decades.\nAnswer: 3444.731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*m + 147, 4*m + 42 = 4*z - 50. Suppose 0 = -z*u + 32*u. Solve u = 2*l - 6 + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -3204.5, 4\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -5\/3*n**3 + n + 3*n**2 - 1\/4*n**4 + 4. Calculate p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2 - 138244*s - 276504 = 0. What is s?\nAnswer: -2, 34563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2567*v + 12390*v = -344011 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 8. Suppose 9*o - c*o = 5, 3*t = -4*o - 2267. What are the prime factors of (-34)\/(-187) - t\/11?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - u + 3. Let j be i(0). Suppose 2*a - j*h = 31, 3*h + 55 = -0*a + 5*a. What is the remainder when 21 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1136064651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39862117 is divided by 211.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -744*p - 603*p + 37*p to n*p + j and give n.\nAnswer: -1310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -17. Suppose 2*v = -2*c + 19600, -19693 = -5*c + a*v + 29307. What is c rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 - 2 = 0. Let r be (-69)\/12 - p\/(-4). Calculate the smallest common multiple of (10 - 0) + r + 6 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {w: 1, r: 1, v: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 8*i**2 + 78*i - 28. Let v be d(-14). Solve -50*b + v*b - 24 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**2)\/a**(-1\/5))\/(a**(2\/3))**8)\/(a*(a*a*a**1)\/a*a*a\/(a\/(a**(-2\/3)\/a))*(a\/(a*a\/(a**(-2\/7)\/a)*a))\/a*a*a*a*a**(-6)) assuming a is positive.\nAnswer: a**(-124\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**9\/w)\/w)**(-46)*(w\/((w\/w**(3\/8))\/w))**(-1\/2) assuming w is positive.\nAnswer: w**(-5163\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 + (429 + -419 - (0 + 52))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111.2898 + 0.3752. Let k = u + -112. What is k rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 - 5*u**3 - 2*u**3)*(-1 + 0 - 3)*(-34*u - 3 + 3).\nAnswer: -1360*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2630315267.\nAnswer: 2630315267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*u**5*y - u**5 - 47*u**2 - 2*y wrt u.\nAnswer: -480*u**2*y - 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/6 and 1\/1380.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43a26 + 2861?\nAnswer: -41175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3733\/15 - -2245\/9. Let m = 7\/15 - w. Let b = -0.175 - 1.825. What is the smallest value in m, -1\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1543*d + 61005 = -576*d - 39237 - 24779 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9 + 1\/(-3) - (-81)\/87\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1241066321 divided by -7243.\nAnswer: -171347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from aaacaacaacaaacca.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hcchchhhhhhhhhhhcc. What is prob of picking 2 c and 2 h?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 45156 = -9*k. Let l be 6\/(-9) + k\/(-9). Let m = l + 2505. What is m rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.09, 6\/23, -61\/18, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/12)*j\/(((j\/(j**2*j))\/j*j)\/j*j))\/(j**(-2\/5)\/j)**(-1\/9)*((j*j*j\/(j*j**(-3)))**7)**(-33) assuming j is positive.\nAnswer: j**(-207403\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwm when three letters picked without replacement from rwtvwwmrpwpm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 66, 895 in increasing order.\nAnswer: 0, 5, 66, 895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 239*i**3*v**3 + 11*i**3*v - 30*i**2*v**3 + 2*i**2*v - v + 1 wrt i?\nAnswer: 1434*v**3 + 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-75)\/(-20))\/15*12*(-20)\/12. Let n(d) = -d**3 - 6*d**2 + 2*d + 8. What is n(c)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = c - d - 2*d, -4*d + 16 = 0. Let f(z) = 6*z**2 - 14*z + 37. Is 8 a factor of f(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114694672544.5600007777 - -114694672619. Let g = 74.44 - f. Round g to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (5 - 17 - -4 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882) + sqrt(20)\/(sqrt(10)*-1))**2 - (-5 + sqrt(200)*2 - -6*(2 + sqrt(200)))**2.\nAnswer: -12049 - 1120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*i - 140*i - 100*i + 7*i + 7 + 71*i to the form y*i + z and give y.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119212, -119216, -119230, -119260, -119312, -119392, -119506?\nAnswer: -119660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065936733 less than -155?\nAnswer: 1065936578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -41295*a + 495518. What is l(12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 3) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 283218, 566437, 849656?\n\"Answer: 283219*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((5 - (11 - 3)) + -16).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/6 + 43*i**4\/6 + 111*i**3 + 2171*i**2\/3 + 10309*i\/6 + 2197\/2 = 0.\nAnswer: -13, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*m + 27*m = 174 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 + 1)*(2*w**2 - w**2 + 0*w**2) to d + k*w + j*w**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.071 + -0.171. Let s = -1099\/22 - -522\/11. Sort s, 3, -3\/5, x in increasing order.\nAnswer: s, -3\/5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180448 - 33401. Let z = -11323474\/77 + g. Let m = z + 79\/7. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 4. Let i(s) = 1 + 4*s**2 + 0 - s**2 - 4*s**2 - s. Suppose 3*a - 14 = 2*j, -3*a + 5*j + 0*j + 26 = 0. Let q be i(a). Give u(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49362884?\nAnswer: 2, 37, 333533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 1\/7, 4, -19, -2\/13, -0.2, 81?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 582*r - 1. Let f(z) = -5*z + 1. What is f(v) + p(v)?\nAnswer: 577*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*r + 63 = 307, -38 = -s - 4*r. Suppose 4*c = 16, -5*c = j - 2 - s. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101087 divided by 1361?\nAnswer: 101087\/1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 15 = -2*r + 2*v, 4*r - 3*v - 51 = 0. Let i = 17 - r. Solve 0 = -4*y - 4*g - 8, -g - i = -y - 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 6, 5, -6, -5111 in descending order.\nAnswer: 6, 5, -2, -5, -6, -5111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 832290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1369917400 and 5210?\nAnswer: 5210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 297.2\nAnswer: -1188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -48351948 times -0.5\nAnswer: 24175974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 390 (c) -1\/4 (d) -4 (e) -8\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29533 + -29533. Solve -3*t = -5*b - 34, z*t = 5*t - 6*b - 45 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20300 - -324699\/16. What is the common denominator of (-16645)\/(-3260) + (-6 - 4)*(-1)\/(-2) and l?\nAnswer: 2608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65363.\nAnswer: 163, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -545, -2246, -5083, -9056, -14165, -20410?\n\"Answer: -568*y**2 + 3*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w. Let a(h) be the third derivative of 19*h**4\/3 - h**2 + 67. Calculate i(a(n)).\nAnswer: 304*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 143 - 153 = 5*o, 10 = 5*z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -13799721.\nAnswer: -13799720.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12*((-10)\/(-4) + -3). What is the common denominator of -58\/9 and (-7)\/b*150\/(-42)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/7 + 3*o**2 - 6*o + 24\/7.\nAnswer: -3*(o - 4)*(o - 2)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15192829 to the power of 1\/2, to the nearest integer?\nAnswer: 3898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2. Let m(c) be the third derivative of -41*c**4\/24 - 4*c**3\/3 + 2507*c**2. Determine m(h(q)).\nAnswer: 41*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**3 - 78*i**2 - 2*i - 6. Let b(l) = 3*l**3 + 77*l**2 + 3*l + 9. Calculate -2*b(n) - 3*y(n).\nAnswer: 9*n**3 + 80*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 21761?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 6*m. Suppose m = x + 59 - 57. Let n(b) = 7*b - 5. Let t(l) = 15*l - 11. Let w(y) = 13*n(y) - 6*t(y). Determine w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 2 + 2 + (-k - 2*k + k)*(-2*k - 3*k + 3*k))*(1 + 3 - 3)*(-2698 - 2545 + 5445).\nAnswer: 404*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -135. Let a = m - -245. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2150\/(-1505)*1*(-7)\/(-3)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126062808 and 33.\nAnswer: 1386690888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27 and 1774\/440 - (2\/11)\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-21)*1\/((-1)\/96). Let v = g - -187. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (20 - 13 - 8 - 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5527771 greater than or equal to -5527796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2565 divided by 7933\nAnswer: -2565\/7933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((41 - 4944\/120)\/(44\/20)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-178)\/(-72) + (-11)\/44.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 11:55 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 - 10\/25. Suppose t = -2*z, 3*z = -4*a - z + 2836. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -988 + 988 + 4*k. Let h(g) = 3*g. Determine x(h(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 489098\/9 + -54527. Let f = 183 + t. Let u = -88 + 260\/3. Sort u, -0.2, f.\nAnswer: u, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from {a: 10, y: 4, w: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - s**2 + s**2)*(-89*s**2 - 22*s**2 + 5*s**2).\nAnswer: 106*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r - 16. List the prime factors of b(12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -184\/3. Let f be 11\/(-22) - (78\/(-4))\/3. Suppose -f*b + 4*b = -2. Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1317 + 29*s - 77*s + 53*s + 27*s - 1317.\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18780431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-2 + 3)*4. Let j = 2 + r. Which is the closest to 0.1? (a) -2 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/9 - 1936*t**2\/9 - 129770*t\/3.\nAnswer: -2*t*(t + 285)*(t + 683)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264242288 and 272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 150 = 5*g. Let q be (3 + 79\/g)\/((-4)\/(-2)). Do q and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) + 2*sqrt(180)*-3)\/(sqrt(245) - sqrt(245)*2))\/((-1*(sqrt(108) - sqrt(108)*2))\/(sqrt(36)\/sqrt(64))))**2 + 3.\nAnswer: 2427\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4686*o + 1840*o = 1205*o + 11087*o + 1135350 for o.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*g - 2*l, 5*g - 5*l - 2 = 2*g. Let q be g\/4 + (-3)\/(-6). Is q less than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 16. Suppose -3*u + y = 3*o, 33 = 4*o + u + 10. Suppose -3*t = 2*t - 5*j - 25, -o*t - j = -43. What is the smallest common multiple of 10 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*26201.\nAnswer: -131005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -1\/16, 0.31, -5, -0.5?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 3*p - 1. Suppose -2*w - 3 = 3*m, 2*m = -4*w - 0 + 6. Suppose 24 = -2*b - 4*b. Let c(k) = k**2 + 4*k - 2. What is b*u(o) + w*c(o)?\nAnswer: -o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 717 + -699 + (0 - 11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*b - 76149 = -75435 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 1:56 PM?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -570352.2 rounded to the nearest one thousand?\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(((s\/s**(-6))\/s)\/s)*s**4*s)**(-1\/23))**(-24))**17 assuming s is positive.\nAnswer: s**(408\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -36.6047 < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116 + 214. Let g be 48 - 7\/(7\/2). Let l = n - g. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69861278*l**4 + 183684224*l wrt l?\nAnswer: -838335336*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + (7\/28)\/((-2)\/(-32)). Solve t - 5*r = -2*r + 2, s = t + 5*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4963 + 5062. Is s not equal to 498\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 107*n + 728 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -10 + -70 - (26 + -7 + -41).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 4*a**2 + 10*a - 3. List the prime factors of l(6).\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 - 4*b**5 + 3*b**5 + (0 - 1 + 0)*(b**5 + b**5 - b**5) + 9*b**5 + 21*b**5 - 7*b**5 + (b**3 + 0*b**3 - 3*b**3)*(-3*b**2 + 0*b**2 + b**2).\nAnswer: 27*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 196 - 22 - 176 - 6*w.\nAnswer: -5*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1361.631 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*t + 64 = -169*t - 20 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122949141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2323, 2328, 2333?\nAnswer: 2338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 6. Let z be (m\/3)\/(1\/(-2)). Let r = 173 - 173. Solve r = -z*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*c - 5*c + 121, -5*q + c + 277 = 0. Calculate the remainder when q is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -66. Let c = l + -19. Calculate the remainder when 47 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(175) + -3 + sqrt(175)))**2.\nAnswer: -2160*sqrt(7) + 25524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 8 + 12*u + 29.\nAnswer: 12*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**5\/20 - a**4\/12 - 19*a**3\/6 - a**2 + 22*a. List the prime factors of m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 4:23 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/3)\/o)**50\/((o\/o**(-5\/4))\/(o*o**(-3\/5))) assuming o is positive.\nAnswer: o**(-8111\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*n + 68*n + 152 - n**3 - 266*n + 99*n.\nAnswer: -n**3 + 6*n + 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**4 + 10*k**3 - 6*k**2 + 4*k - 7. Let i(h) = 4*h**4 + 9*h**3 - 6*h**2 + 4*h - 6. Let s(w) = 5*a(w) - 6*i(w). Factor s(y).\nAnswer: (y - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.06 - -13.98. Let q be ((-3)\/10)\/(2\/(-4)). Suppose 2*j = 3*u + 9, 32*u + 16 = 27*u + 3*j. Put o, u, q in descending order.\nAnswer: q, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032681 is divided by 20650.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 16*f - 12.\nAnswer: -4*(f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*r = -68, -2*s + r = -16 - 32. Let p(a) = a**3 - 24*a**2 + 45*a - 12. Determine p(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 27. Suppose 15*q - m = 11*q. Let f be (24\/2)\/2 - 1. Solve 0 = -4*i + q, -18 = -f*h - 4*i + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63693555 and 100605?\nAnswer: 5295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 46. Let n(c) = 22*c**2 + 5*c**2 - 13*c**2 - 12*c**2. Determine q(n(f)).\nAnswer: 4*f**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/3 - 3776*z**2\/3 + 53452*z = 0. Calculate z.\nAnswer: -3818, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4881 - 3468. Let v(x) = 2*x + 59. Let t be v(-26). Is (t\/(-21))\/((-3)\/o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4\/9 - 10348*v**3\/9 - 10354*v**2\/3 = 0.\nAnswer: -3, 0, 5177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 138548 divided by 19?\nAnswer: 7292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-231)\/(-330))\/((-7)\/(-3)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 24 = -6*p + q, 0 = 3*p - q - 16. Let z(v) = v**2 - 4*v + 4. List the prime factors of z(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1673965*s**2 + 5788*s - 98 wrt s.\nAnswer: 3347930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - 0. Let o = i - 0. Let q = -1069\/7 - -153. Which is smaller: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 p when three letters picked without replacement from szpspfspszfpp?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*v + 326, 37*v - 35*v - 284 = -4*o. What is the greatest common factor of 3478 and o?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.98 less than -1?\nAnswer: -3.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2808882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:25 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21095, 21096, 21097, 21098?\nAnswer: 21099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 2*q + 8, 5*i + 0*q + 2*q + 11 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(-8*p - 4*p - 35*p)*(8 - 6 + 7) - 4 + 4*p + 4 + (-3*p - 2*p + 3*p)*(3 - 4 + 0) + 3 - 3 + p - 2*p + 3 - 3.\nAnswer: 1274*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 334735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*n\/n**6)\/n)\/n)\/n)**(-2\/7)*n**(-23)\/n*n*n**(1\/44)*n)**(-16) assuming n is positive.\nAnswer: n**(3516\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36610492258 - 3*c + 36610492258.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n**5*q + 9*n**2*q + 5906*n**2 - 443*n*q + 2*n + 2*q - 7 wrt n.\nAnswer: 100*n**3*q + 18*q + 11812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*k + 30, -117*k + 2*o - 21 = -114*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 133 and 651.\nAnswer: 12369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1017, -1943, -2865, -3783, -4697, -5607?\n\"Answer: 2*z**2 - 932*z - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221.8 equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 + 3*t**2 + 464*t + 462. Let n be v(-1). Solve -2*d + 33 - 27 = 2*j, 3*j = -2*d + n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15506568179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqa when three letters picked without replacement from {a: 2, q: 7, y: 1}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (68\/10 - 5)*30\/16. Which is greater: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p)\/(p*p**(2\/9))*(p*p*((p*p\/((p*p**(-4))\/p))\/p*p)\/p*p)\/p*(p**(-4\/3)*p)\/p assuming p is positive.\nAnswer: p**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -605920000 rounded to the nearest one hundred thousand?\nAnswer: -605900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2897 + -2881. Let w be (-3 - 87)\/(-5)*1*2. What is the greatest common factor of s and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48534813*g + 14434245 wrt g.\nAnswer: -48534813","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*a - 452 + 393 = -2061 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1359324\/107 + 12704. Is -5 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16.843 and -229.4.\nAnswer: -212.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 82*l - 79*l = -5, -5*x - 4*l + 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i + 33. Let o be c(11). Suppose 0*t = -3*u - 5*t + 242, o = 3*u + 4*t - 241. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 250 = 2*k + 48, 501 = 5*k - 3*f. Let a be ((-10)\/(-6) + 2)*3. Calculate the highest common divisor of a and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 492*l**2 - 53708*l + 4575040\/3.\nAnswer: -(l - 1360)*(l - 58)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32 (b) -0.2 (c) 2\/15 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 721688 a multiple of 556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/9 and -167\/23011098.\nAnswer: 69033294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 minus -21368823540?\nAnswer: 21368823538.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 7341496*p + 3368597719876.\nAnswer: 4*(p - 917687)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 415 - 390. Calculate the lowest common multiple of g and 45.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17430 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyruyuuygyuuyyyrz. What is prob of sequence gury?\nAnswer: 49\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10692 and 4131.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23476 is divided by 114.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22505.4868 rounded to the nearest 10?\nAnswer: 22510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.911806 seconds to minutes.\nAnswer: 0.4485301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35.2 and 16.7.\nAnswer: 587.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**2 + i**2 - 2*i**2 - 5*i**2 + 3*i**4 wrt i?\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179389?\nAnswer: 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(-2*f - 2 + 2) - 2 + 2 + f + 2 + 3*f - 7*f + 6*f + (-4 + 2 + 1)*(6*f - f - 4*f).\nAnswer: -4*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2125, -4201, -6277, -8353, -10429?\n\"Answer: -2076*a - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:36 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 46*f**2 - 1826*f - 51307. Calculate j(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 5:09 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 130748 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35874.6 and -0.1.\nAnswer: -35874.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 852 + -847. Which is the closest to 1\/6? (a) 0.08 (b) -0.1 (c) g (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7627*m - 46070 = 1030*m + 274239 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -91046, -91020, -90994, -90968, -90942?\n\"Answer: 26*q - 91072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -43829 and 4798.0148?\nAnswer: 48627.0148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -206*p**2 - 2*p + 101*p**2 + 84*p**2 + 61*p**2. Let m(u) = 14 - 5*u**2 + 4*u**2 - 14. Calculate m(c(b)).\nAnswer: -1600*b**4 + 160*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 41 = -66*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15525*d = -920209 + 175009 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/4 - 3297*x + 3623403.\nAnswer: 3*(x - 2198)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7900185154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 7*y**4\/12 - 5*y**3\/6 + 7*y**2\/2 - 31*y. Let a be f(3). Is 2*(169\/10 - 22\/a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o + 30. Let v(k) = -5*k**3 + 7*k**2 + 10*k + 59. Let b be v(-5). Let q = b - o. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10673\/168 - -967\/14. What is the common denominator of b and 4 - (1 - (-322)\/10)\/(-27 - -39)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-5))**(-26)\/(r*r**(-13\/6)*r\/(r**(2\/21)*r)) assuming r is positive.\nAnswer: r**(-6499\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -728 by 2213.\nAnswer: -728\/2213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/87? (a) -21758 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*f - 46*f + 2*f**3 - 5*f**3 - 5*f as s*f + x + g*f**3 + b*f**2 and give s.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**4 + 136676*m**3 + 5733492*m**2 + 5323484*m - 11193656 = 0.\nAnswer: -34127, -41, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41375 from 695695.\nAnswer: 737070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 12*y + 20 = 0. Let s(o) = 6*o**2 + 4*o + 3. What is the remainder when s(y) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100010000 + 21010102?\nAnswer: 121020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 15*p + 613. Is 10 a factor of k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 8. Let g be -9 - (q - (1 - -2)). Let d = g - -23. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 + 304*w**2 + 2*w**4 - 2*w**2 - 122*w**2 + (-3*w**5 + w**3 - w**3)*(6 + 0 + 3).\nAnswer: -26*w**5 + 2*w**4 + 180*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Suppose w*y - 4 = 2. Sort -4, -5, y in increasing order.\nAnswer: -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*-2)\/(sqrt(50)*2).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t)**(5\/3)*t**(6\/11)\/(t\/((t\/(t**6\/t*t))\/t)) assuming t is positive.\nAnswer: t**(-71\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 8:15 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 137, 153, 169?\n\"Answer: 16*y + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 28, 2\/13, -1\/2, -1 in descending order.\nAnswer: 28, 3\/7, 2\/13, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -6 - (15 - (15 - 25 - -16)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*p + 1108 = -1997 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 = 44*o - 399*o + 1943 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.16 smaller than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 3 + (19 - 10) + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5054 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 3*p**4 - 4*p**3\/3 + 9. Find the third derivative of v(i) wrt i.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-14)\/12*12\/147\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**4*v**0*v)\/((v**(-2\/3)\/v)\/v**(-1\/3)) assuming v is positive.\nAnswer: v**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 4638.\nAnswer: 11\/4638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/219 or -1?\nAnswer: 5\/219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*1)\/((-14)\/(-56)). Let q be (-45)\/(-6) + (-2)\/n. Is 4\/8 - (-260)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -7*h**4\/12 - h**3\/6 + h**2\/2 + 2*h. Let d be w(1). Let v = 8 - d. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -43. Let a(z) = 9*z**2 - 7*z + 2. Let n(d) = -5*d**2 + 4*d - 1. Determine p*n(x) + 3*a(x).\nAnswer: 2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 49 = -6*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 0*i = 4*q, 3*q + 11 = -i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 780701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 46 = -7*r. Suppose -2*d - 3*n = -45, 0*d + 3*d = r*n + 20. Solve 0 = -7*p + 4*p - d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*d - 113, -4*d + 24*p = 22*p - 82. Solve k - 19*c + d*c = -5, -5*k = c - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 35 - 34. Let m be (-73)\/(-1)*(x + 0). Let v = -37 + m. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/56*(-64)\/24\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794 is divided by 160?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (54\/2316)\/(3\/(-6)). Let c = u + 11993\/579. Calculate the common denominator of 71\/12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 5*m**3\/3 + 3*m**2 + 5*m + 9. Let n be h(-2). Solve n = -2*b - 3*x, -4*b - x = -5*x + 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3937, 3924, 3887, 3814, 3693, 3512, 3259?\nAnswer: 2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1003404 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 0*o + 0*o.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 327 by -243.\nAnswer: -109\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 8 = -2*y + 4*y, -4*w + 3*y = 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18926 + -18931. Sort -1\/7, x, -1\/130, -1\/9 in increasing order.\nAnswer: x, -1\/7, -1\/9, -1\/130","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:58 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1927\/2 - -928. Let y = -271 + 469. What is the common denominator of (-6)\/(-10) + y\/(-105) and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 - 2.6. Let k = w - -0.3. Which is the nearest to -3? (a) k (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 229053933 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 43746416 divided by 2734151\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-20)*(-1)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**2 + 86 + 44*o**2 + 0*o**2 - 7*o**2 - 86.\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + 2.5. Let i = -4 - -3.8. Let w = -0.1 - i. Put -1\/2, w, d in decreasing order.\nAnswer: d, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18184 - 10?\nAnswer: -18204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 272, 1053, 2358, 4199, 6588, 9537, 13058, 17163?\n\"Answer: 2*y**3 + 250*y**2 + 17*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22400000 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2 - 33*p + 1. What is c(1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67884 or -67883?\nAnswer: -67883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + 2 + ((sqrt(99) - sqrt(11)) + sqrt(11) - sqrt(11)).\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**3 + j**2 - 45*j - 45. What is l(-4)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*b + 22, -4*c + 0*b = -3*b + 3. What is the remainder when c*1 - (-85 - -9) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22, 42, 84, 160, 282, 462, 712?\n\"Answer: 2*m**3 - m**2 + 9*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - -1245?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - i + 4. Let s be p(-2). Solve -3*u = -s*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179.8 - -180. Let q = -7 - 36. Let v = -169\/4 - q. Which is bigger: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 = 3*j, 10*d - 5*d - 25 = j. Find the common denominator of (245\/(-30) + d)*4\/(-11) and -37\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11599, -7, 1 in decreasing order.\nAnswer: 1, -7, -11599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.16 and 9.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14524 - -22536. Suppose 2*q + 42554 - v = 4*k, -5*k = q - 43188. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1104 and 3012.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - w - 795 = 0, -2*b - 3*w = -4*b + 331. Suppose 164*f - b*f - 108 = 0. Calculate the lowest common multiple of f and 202.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12733 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2024832626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 556*q**3*u**2 + 42*q**3*u - 3*q**2*u wrt u?\nAnswer: 1112*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 4. Let b be s(-7). Let r(g) = 2 + 1 - 4. Let f(p) = 3*p - 18. Calculate b*r(d) - f(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4753 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: Let k(z) = z + 2. Suppose 3*j + 2 = 5*j. Let i(s) = 1 - 3 + 3. Let d(l) = j*k(l) - 2*i(l). Let q(t) = -2*t. Calculate d(q(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/3)\/(4\/66). Let u be l\/9 - (-6)\/27. Suppose 2*a - u - 20 = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 4*i - i + 7)*(3*i + i - 2*i).\nAnswer: -2*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5)*h)**(-49)\/(h**5*h**(1\/4)))**(-9\/10) assuming h is positive.\nAnswer: h**(6237\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*j**2 - 111*j**2 + 933*j**2 - 3*j to the form t + q*j**2 + p*j and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11096423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4. Suppose -v + y = -2*i + 4*v, 4*i - 3*v - 5 = 0. Solve 2*g + 12*g**i - 24*g**2 + g = 0 for g.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = s + 610, -s + 157 = 4*h - 449. Calculate the remainder when h is divided by 10\/35 + 61\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 3*t**2 + 2*t - 2. Let r be d(3). Suppose 0*u + 2*p - 82 = -2*u, 188 = r*u - 4*p. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 277*j. Let w(g) be the third derivative of g**5\/20 + 3617*g**2 + g + 1. Give o(w(f)).\nAnswer: 831*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from uujukkukkj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 0*x**3 + 31 - x**2 - 77*x + 24\/5*x**5 - 1\/4*x**4. What is the second derivative of w(c) wrt c?\nAnswer: 288*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -7 + 16 + -19 + 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.65716mg to tonnes.\nAnswer: 0.00000004065716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/3 - 15*h. Let b(m) be the first derivative of -5*m**2\/2 - 13. What is z(b(l))?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/60 - h**4\/24 + h**3\/6 + 5*h**2. Let d be x(-3). Let y = -1 + d. Solve 5*j - 9 = q + 2*j, -y = 5*q - 4*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(768)\/sqrt(6) + sqrt(12)\/(sqrt(36)\/sqrt(6))*3.\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*f = -901 + 5931 + 658 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 - 8*r**2\/3 + 40*r.\nAnswer: -2*r*(r - 6)*(r + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(69\/18 - 3) - 0. Let z = -225 + 291. What is the greatest common divisor of z and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2823, -5644, -8465?\nAnswer: -11286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 373330538 - 5?\nAnswer: 373330533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 4 = -12*o. Suppose -4*r - 74 + 300 = 5*p, 5*p - 118 = -o*r. Let h(a) = -11*a - 4. Calculate the remainder when r is divided by h(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1920\/1344*336\/12.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104485981 by 1014427.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 1, w: 1, x: 1, d: 1, m: 2}. Give prob of picking 1 d and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41967721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 334 = -0*k + 2*k, k + 2 = 0. Suppose 4*y - o = -5*f - 42, y + 2*f - 20 = 0. Solve -5*r + y = -13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323125284 divided by -4\nAnswer: 80781321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 154*z**2 + 152*z**2 - 3*z**4 - z**3.\nAnswer: z**2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 - -0.2. Let g = d - -1.5. Let b = -0.1 - g. What is the third smallest value in 2, -1\/4, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxdddddwnvyddy. Give prob of picking 1 v and 1 y.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37.84 - 37.8399983771. Round i to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5225 (base 6) in base 2?\nAnswer: -10010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15979989376219\/12814660537 + -3\/107686223. Let b = -1247 + z. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162757 and 1547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/19)\/d*d\/(d\/(d**(-1\/5)\/d))*(d**20\/d)\/(d**(1\/30)*d*d*d) assuming d is positive.\nAnswer: d**(7727\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2994902 divided by 21.\nAnswer: 2994902\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5692 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -502 + 75. Let g = y - -110. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2. Let k(p) = 220*p - 23*p + 44*p. Determine y(k(w)).\nAnswer: -116162*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1963*c**3 - 10*c**2 + 11*c + 61. Let f be r(-2). Calculate the highest common factor of f and 383.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g = 5*y + 1, 3*y = 15*g - 17*g - 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 1\/5 (c) 903 (d) -1\/14 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**4\/4 - 2*y**3\/3 + 3*y**2\/2 - 1. Suppose 7*j - 297 + 143 = -140. Give c(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 915111, 915045, 914979?\nAnswer: 914913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 14 = 2*v, 290*v + 10 = 285*v + 5*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from {c: 1, g: 3, u: 4, d: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-63))\/((-18)\/(-21)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-2))\/((-9)\/30). Let x = -3 + l. Is 4*1 - (x - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*f - 79*f + 65*f = -21*f - 8820 for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6029*d - 3018*d - 3013*d + 413)*(5 + 2 - 4)*(3 - 1 + 0) to h*d + u and give u.\nAnswer: 2478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 147 - 147.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8209?\nAnswer: 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1044141 is divided by 522027.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5)**(-25)\/((j\/j**(-9))\/(j*j**(4\/3)*j)) assuming j is positive.\nAnswer: j**(-395\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 25. Suppose -q*z + 13 = -12. What is the second derivative of -6*f**5 - 4*f + 6*f**5 + 8*f**z wrt f?\nAnswer: 160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 492810773 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -450a?\nAnswer: -4508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9265048, 9265047, 9265046, 9265045, 9265044?\nAnswer: 9265043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 94. What is the smallest common multiple of 20 and k(0)?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*v - 2 = 0, -2*n + 4*n + 11 = 5*v. Suppose -n*l + 21 = -31. Let a(c) = l*c + 46*c + 28*c - 78*c. Let z(o) = -2*o**2. Determine a(z(b)).\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005772464 to six decimal places.\nAnswer: 0.000577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*u - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56 - -89a9?\nAnswer: 8953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14608001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3284.7 times 46806\nAnswer: 153743668.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) 3 (c) -0.001 (d) 6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*y - 52*y - 86*y - 1422 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51285, 102578, 153895, 205248, 256649?\nAnswer: 308110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 355774417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176551 is divided by 13558?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -d95cb7 (base 14) to base 16\nAnswer: -703559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -130fa (base 16) in base 4?\nAnswer: -103003322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 - 69*x + 478. Let k be o(-40). Calculate the highest common factor of 4427 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 0 - i + 1\/3*i**3 + 0*i**2. Let a(m) = m. Let d(w) = 15*w. Let r(y) = -10*a(y) + d(y). What is l(r(p))?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 20*v**3 + 2*v**2 + 279*v - 280. Calculate f(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2736))*-2)**2 - sqrt(2736) - ((1*sqrt(475))**2 - sqrt(2299)*2).\nAnswer: -86*sqrt(19) + 10473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2. Let w(q) be the second derivative of q**3\/6 - 3*q**2\/2 - 6888*q. What is 4*o(s) + 3*w(s)?\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/3 and ((-154)\/12)\/(16\/(-12)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 - 3*k + 2. Suppose -2*p - 6 = -4*p. Suppose 4*d + 4*m - 52 = 2*m, -3*m - 62 = -4*d. Calculate the smallest common multiple of x(p) and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 670, 1238, 1814, 2404, 3014, 3650?\n\"Answer: j**3 - 2*j**2 + 567*j + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 5*u - 4*u)*(1 + 2 - 5) + 5 + u - 5 + (4*u + 2*u - u)*(1 + 0 - 2) - 33*u - 146*u + 18*u to y + l*u and give l.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129108*s + 258218*s - 129100*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 354\/(-261) - (2 + 10\/(-3)). Which is greater: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (29 + (-6325)\/(-125))\/((-2)\/(-5)). Solve 7 = w*m - 203*m + o, -3*m - 5 = -o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6240 and 1248.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*l - 228, -3*f + l - 153 = 4*l. Let v be (2\/f*-2)\/(6\/(-18)). Which is the second smallest value? (a) v (b) 3 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 90\/35)\/((-6)\/294). Solve y**3 - 6*y**3 - 25*y**4 - 30*y - b*y**2 - 15*y**2 - 75*y**3 = 0 for y.\nAnswer: -6\/5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, u: 1, f: 4}. Give prob of picking 2 f and 2 q.\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 17564713?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 7*m**2 - 2*m - 14. Let u be p(-7). Suppose 2*f + 2*j + 0*j = 4344, u = -3*j - 15. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 6:16 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + -51. Suppose 0*w + 3311 = x*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 9*q + 3. Let s be b(9). Let x(m) = m**3 - 1 + m - 4*m**s + m. Suppose -247*d + 995 = 748*d. What is x(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1292\/111 - 36\/37. Find the common denominator of ((-168)\/1008)\/(486\/80 - 6) and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1632816 and 403920?\nAnswer: 269414640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.72 * -0.03\nAnswer: -0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q + 4*b = -12, 5*b + 8 = 2*q. Suppose n = -0*n - 40. Let m be 8\/(-12) + n\/(-6). What is the highest common factor of q and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1606673 (base 8) to base 6.\nAnswer: 13524043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -11*z + 52200. What are the prime factors of (0 - z\/(-18)) + 22\/(-99)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 15. Let o = i - 6.1. Which is the nearest to -1? (a) 4 (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -62\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116730, 231380, 346030?\nAnswer: 460680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.8784421 and 4.\nAnswer: 2.1215579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + 28. Let s = 136 - r. Calculate the greatest common factor of s and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1019*g**5 - 20382*g**4 - 152890*g**3 - 509800*g**2 - 637875*g - 1250.\nAnswer: -(g + 5)**4*(1019*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkbkbkbygkmbtkbyb. Give prob of sequence bgk.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0259 + 0.3259. Which is the smallest value? (a) k (b) -5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61.12 + 61.42. Let p = -0.1 + 0. Let a = p + -0.1. Sort a, -0.4, w, 3\/5 in ascending order.\nAnswer: -0.4, a, w, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1.221, -266, 0.8 in decreasing order.\nAnswer: 1.221, 0.8, 0.2, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2876.865 + 4166.08. Let z = g + -7025. Let m = z - -0.355. What is m rounded to 0 decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2695\nAnswer: 2698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 divided by -23.\nAnswer: 185\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 - 77690861.\nAnswer: -77690901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7780 a factor of 909108560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*u - u + 2*i, 3*i = -3*u. Let g = 9 - u. Suppose 0 = r + g*r + 52000000. Round r to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04098093 + 1.\nAnswer: 1.04098093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -346.94 minus -1?\nAnswer: -345.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1896546 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 649, 1022, 1115, 922, 437, -346, -1433?\nAnswer: -2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 925 a factor of 45251925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**7\/280 + b**6\/360 + b**3\/3 + 4*b. Let n(c) be the second derivative of m(c). What is the third derivative of n(w) wrt w?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 1. Let u(k) = k. Let o(p) = 8*p**3 - 12*p**2 - 9*p + 4. Let l be o(-1). What is l*u(f) - 3*y(f)?\nAnswer: -4*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 610 + -34161\/56. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.3 + -21.9. Suppose -15*f - 2*l - 9 = -16*f, -2*f = 3*l + 17. Which is the closest to f? (a) 0.1 (b) p (c) 3\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 19*j + 73. Let s be c(-3). Calculate the highest common divisor of 1304 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2482 - -4003. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100135157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -103*j**2 - 623*j - 46. What is g(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 - 3.95. Let f = -374\/15 - -123\/5. Let i = 4 - 9. Which is the third biggest value? (a) r (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 922 + -921.9. Let p = -1.2 - -0.2. Let i = 0.6 - 0.2. What is the nearest to h in 0.05, i, p?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 384955 = 112600. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghvkhkhkmhh. Give prob of sequence mv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a**2 + 6*a + 6. Let i(u) = -13*u**2 - 11*u - 11. Let b be (0 - -8) + (-3 - -6). What is b*t(o) + 6*i(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 1\/4 (c) -6\/7 (d) -1\/6 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 0*c**7 + 5*c**2 + 1\/3*c**3 + 0*c**4 - 8*c + 3\/112*c**8 - 1\/15*c**5 - 1\/40*c**6 + 0. Find the third derivative of l(z) wrt z.\nAnswer: 540*z**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5 - v**2 - 671*v + 1 + 663*v. Let o be w(-5). What is the highest common divisor of 21 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 10:16 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/80236060 and 77\/252712.\nAnswer: 160472120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.08 (c) 0.3 (d) -1 (e) -5\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1724.3 - 1626. Let t = k - 93. Let n = t - 5.1. Which is the closest to n? (a) 0.1 (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 0*r + 0*r + 3*r**3 + 0*r**3 - r**3 + (2 - 3 + 3)*(r**3 - r**3 + 2*r**3) - 33*r**3 + 4*r**3 - 4*r**3.\nAnswer: -29*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13 - -164\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from bnffnfi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*x - 14*x**2 - 66*x)*(4 - 1 - 1)*(0 + 2 - 3).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*h + 9*h + 13*h)*(-2*h + 0 + 0)*(-2 + 0 + 1)*(1 - 3 - 3)*(-4*h + 3*h + 3*h) as t + k*h**3 + g*h**2 + y*h and give k.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 18 - 9 + 70 - 6*a**2 to t*a + y*a**2 + z and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -482 + 504. Calculate the remainder when 273 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 2*w**3\/33 - 10*w**2\/11 - 26. Factor j(q).\nAnswer: 2*q*(q - 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(637))*2 + 5 + (-1 + sqrt(637))**2.\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**2 - 8*r - 12. Let y be g(-2). Is 17 a factor of 1*75 - (23 + y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 900 = -j + 17*x, 3*j - 2748 = -x. Suppose 2*z - 516 = 2*a + 82, -3*a + j = 3*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2327 = -15*r + 2177 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 256886, 512970, 769054?\n\"Answer: 256084*h + 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*z**3 + 52*z**3 + 41*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from yygywwwyiqwyww?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*w**5*y + 76228*w**5 + 90*w**2*y + 2212*w*y - 7*w wrt w.\nAnswer: 1860*w**2*y + 4573680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3322917228?\nAnswer: 2, 3, 409, 677041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q**2 - 30*q - 23. Let y be d(11). Round y to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -1.5. Let t = 1.4 - g. Let y = t - -0.9. Sort 2\/21, y, 2 in descending order.\nAnswer: 2, y, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -26.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -4, -1, -3 in decreasing order.\nAnswer: -1, -3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929099 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a hour in minutes?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.354363211 + -37.645637689. Let p = 38 + f. What is p rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 67\/(-39) + (-12 - 185\/(-15)). Let u = -103\/65 - l. Sort 0.5, -4, u in descending order.\nAnswer: 0.5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626*o = 643*o - 82110. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 5 (c) -2\/11 (d) -2\/7 (e) -1\/814\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 86 = 5*h + 9*r, 4*h - 77 = r - 41 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p*p\/(p**12\/p*p)*p*p*p)\/p)*p\/p**(1\/14))**19)**(2\/51) assuming p is positive.\nAnswer: p**(2375\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49724)\/5614)\/(((-40)\/84)\/5).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -7\/8 (b) 0.15 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 10*z + 11. Let v be r(-5). Suppose 0 = -2*m - 2*m + v. Let n(p) = 4*p + 1. Is n(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -0.1 (c) 307 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 14 = 3*m + 25, -35 = 4*m - n. Let o(l) = l + 7. Let y be o(m). Is (2\/5)\/(y\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 3. Let g be v(17). Suppose 0 = 710*r - 720*r + 60. Solve r = 5*t - g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -350724 - -6.\nAnswer: -350718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 12:46 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1942941 divided by -49819?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435.730424 + -7.\nAnswer: 428.730424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-7)*q*q)\/(q**1*q))**(-3\/17) assuming q is positive.\nAnswer: q**(15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/2))**(11\/5)\/(g**(-1\/3))**19*(g**(-1\/3)*g\/(g\/(g*g*g\/(g*g**5)))*g)**(9\/2) assuming g is positive.\nAnswer: g**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 622*c**2 - 107*c + 95614 wrt c?\nAnswer: 1244*c - 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 2*z = -3 + 7, 3*g + 5*z = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxx. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1.1. Let i = 48 + -146\/3. Let z = 75\/32 - 67\/32. Which is the closest to i? (a) z (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2454\/(-24) + 4\/16. Let n = -101 - x. Sort n, -4, 20.\nAnswer: -4, n, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 - -195. Calculate the remainder when u is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 18*j. Let b(h) = 3*h. What is f(b(w))?\nAnswer: 18*w**2 + 54*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7584, -7554, -7498, -7410, -7284, -7114?\n\"Answer: f**3 + 7*f**2 + 2*f - 7594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1797*f**3*m**3 - 11*f**3*m**2 + 12*m**2 wrt m.\nAnswer: 10782*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p. Let f(x) be the second derivative of -13*x**4\/12 + 10*x. Give f(g(i)).\nAnswer: -117*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n + 10. Let j(s) = -s + 4. Suppose -17 + 8 = -3*p. Let a(r) = -3*r + p*r + 13 - 8 - r + 4. Calculate n*a(c) + 5*j(c).\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 8:26 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 - -7 - -4 - -361 is divided by 98.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.4, -1\/2, 482, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -19*81\/20736*-32\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-455)\/325 + (-4)\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 59*n**2. Let w(t) = 6*t + 7*t + t + t - 16*t. Calculate g(w(h)).\nAnswer: 59*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 5\/3 (b) -3\/5 (c) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103612026 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*x - 171*x = 134. Let s = x - -371. What is the remainder when s is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + w**2 + 2*w + 20. Let b be h(0). Let o = 108 - 63. Suppose -27 = -5*k - 3*g + 170, k - 5*g = o. What is the greatest common factor of b and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 905982 and 89782?\nAnswer: 9965802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vccdccdddvcvd. What is prob of sequence vdv?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 58147713 less than -1133?\nAnswer: -58148846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 18*a - 2. Let p(h) = 958*h. What is u(p(n))?\nAnswer: 917764*n**2 - 17244*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.078 + 1633591456.\nAnswer: 1633591456.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 4*p - 16. Let v(f) = f - 1. Let n(a) = -10*v(a) + w(a). Let o(t) = -3*t**2 + 7*t + 7. Determine -5*n(m) - 4*o(m).\nAnswer: 2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.01, -103, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145162 is divided by 386?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 135*p - 69. Let c(t) = -12*t + 2. What is 2*c(y) + r(y)?\nAnswer: 111*y - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n + 2*n + 12*n**2 - n**3 - 6 - 3*n**2. Let v be p(10). What is v rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 123*i + 1551. Let w be b(13). Solve w = -27*q - 122 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 - 3513*q**2\/4 - 14011569*q\/4 - 10082318103\/4.\nAnswer: (q - 6087)*(q + 1287)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - f**2 + 13. Let k be h(0). Let o = k - 107\/8. Suppose 7*m = 21*m. Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -1\/2*l**2 + 1\/2*l**3 - 1\/8*l**4 + 3 + 0*l. Let n(k) be the second derivative of c(k). What is n(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5534, 5502, 16536, 27568, 38598?\n\"Answer: -d**2 + 11039*d - 16572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**5\/15 + 3*h**4\/8 - 5*h**3\/3 - h**2 - 22. Let j(m) = 3*m**2 + 8*m - 9. Calculate 6*j(b) - 5*l(b).\nAnswer: -2*b**2 + 3*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111369?\nAnswer: 3, 37123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 17, -266\/9, -3, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let v = o - 6. Let c(z) = -z**2 - 7*z - 7. Let n be c(v). Solve n*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 11. Let s(v) be the third derivative of -v**6\/360 + v**5\/24 - 7*v**4\/24 - v**3 - 2*v**2. Let r(q) be the first derivative of s(q). Give r(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 2*t + 38, -27*t + 44 - 46 = 4*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-2\/5)*m)*m\/(m*m\/m**(-10)*m*m))**(-1\/45) assuming m is positive.\nAnswer: m**(68\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z**2. Let f(i) = -3*i + 2. Let b(p) = -p + 1. Let l(j) = -6*b(j) + 3*f(j). Give l(o(r)).\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 401*w**2 + 26*w - 1 wrt w.\nAnswer: 802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**35*z*z*z*z\/(z\/(((z\/z**16)\/z)\/z*z))*z*((z\/(z*z\/(z\/(z*z\/(z**(-2\/7)\/z)))))\/z)\/(z*(z\/(z**35*z*z*z))\/z))**(-49) assuming z is positive.\nAnswer: z**(-2779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*-29*(-294)\/126*(-72)\/28.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljjjjjjjlljlljjjllj. Give prob of sequence jjlj.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/8 - (5 - 6078\/24). Let d = c - -239. Calculate the highest common divisor of d and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*t**4 - 8*t**4 - 10*t**4 + (-5*t + 6*t - 2*t)*(-t**3 + 4*t**3 - 2*t**3).\nAnswer: -39*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6511042 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -4, -2, -16 in descending order.\nAnswer: 3, 1, -2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, a: 1, b: 4, p: 5, o: 3, l: 3}. Give prob of picking 1 s and 3 b.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12648 - 11075. Calculate the remainder when u is divided by 56.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9*y - 1. Let d = -3 + 2. Let r be p(d). Suppose 0*v - v - 2*o = r, 0 = 5*v + 2*o + 8. Solve v = -5*l - 22 - 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (sqrt(9)\/sqrt(3))**2 + -1)*1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21768420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)*(v\/v**3)\/v)\/(v**(2\/7)\/(v**(-1)\/v))*v**(-6)\/(v*v\/(v\/(v\/(v**(-1)\/v)*v)))*(v**(-2\/9)\/v)\/(v**(2\/3)*v) assuming v is positive.\nAnswer: v**(-1187\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11855 (b) 1 (c) 4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 55*v**6\/6 - v**5\/5 + v**4\/4 - v**3\/3 - 3*v**2\/2 + 18*v - 4712. What is the third derivative of i(o) wrt o?\nAnswer: 3300*o**2 - 24*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -930, -933, -938, -945, -954, -965?\n\"Answer: -i**2 - 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*t**2 - 140*t**2 - 264*t**3.\nAnswer: -264*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-0.65.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*k**3 + 15*k**3 - 135*k - 5*k**2 + 21*k**3 + 24*k**3 to the form m*k**3 + h*k**2 + s + c*k and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-11)\/(33\/9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6564 is divided by 74.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 1016266.2.\nAnswer: 1016266.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 4. Let n be (6\/5)\/(1*(-12)\/(-40)). Suppose -n*m - 3*w = -9*m + 6, -8 = 4*m + 4*w. Suppose -d - 2*z - 2 = m, 6 = -2*d - 3*z + z. Calculate q(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254712 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(2 + (-56)\/16). Differentiate -8*k - 326*k**g - 95 + 19*k + 650*k**2 - 321*k**2 wrt k.\nAnswer: 6*k + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2201.1, -18, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2 + 11*h**3 - 3*h + 3*h**2 + 4*h - 9*h**3. Let t(i) = 4*i**3 - 4*i**2 + 4*i - 2. Calculate the smallest common multiple of d(1) and t(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a*a\/a**1)\/(a**(-8)\/(a*a\/(a\/(a\/(a**(-2\/9)*a*a))))) assuming a is positive.\nAnswer: a**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 6:03 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/233 or 0?\nAnswer: -60\/233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 3*r + 1476. Suppose 5*l + l = r. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3688336 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + g = 7, -2*g + 5*g - 8 = b. Put -22, b, -10 in ascending order.\nAnswer: -22, -10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*n = 815, -2*s - 634 = -6*s + 2*n. Let o = 10 + -69\/8. Calculate the common denominator of o and (-804)\/s - (-21)\/(-35).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r + 2*g = 284, -g + 214 = 3*r. Suppose -r = -8*h - 0. Suppose 2*s - 43 = 5. Calculate the remainder when s is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Let p be (-1100)\/(-80) + (-1)\/(-4). Let l be 74\/p + 28\/(-98). Solve l*f + m*r + 3*r + 11 = 0, -3*f - r = 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52977013 to the power of 1\/2, to the nearest integer?\nAnswer: 7279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -514332 or -514333?\nAnswer: -514333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*c - 6459 = 1548 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.8077569 rounded to 2 decimal places?\nAnswer: 23.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(9*-2)*(-3)\/(-10). Is 1 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 + 21589*c\/5 - 468264.\nAnswer: -(c - 21480)*(c - 109)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**2 - 213732*k - 32364736 = 0?\nAnswer: -151, 53584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1703, 5, -3 in decreasing order.\nAnswer: 5, -3, -1703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6946\/3 - -2316. What is the third biggest value in -0.03, 12, r, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-132)\/704)\/((-2)\/8))\/((-30)\/(-520))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210030227?\nAnswer: 11, 23, 163, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 9*q + 4. Let u be j(9). Let p(v) = -3*v - 2. Let a(y) = -16*y - 11. Let l(h) = 6*a(h) - 33*p(h). List the prime factors of l(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 19. Suppose p*l - 4*l = -3015. Let d = 1177\/2 + l. Find the common denominator of d and -59\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 8*g**2 + 9*g - 3. Let a be 45*((-48)\/(-20) - 0). Suppose -6*y = 6*y + a. Determine t(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -249, -507, -765?\n\"Answer: -258*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (366\/14)\/((-66375)\/(-154875))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let s(x) be the third derivative of 19*x**7\/1260 - x**4\/24 + 127*x**2. Let z(o) be the second derivative of s(o). Give p(z(r)).\nAnswer: 76*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4\/13 + 18*q**3\/13 - 326*q**2\/13 - 18*q\/13 + 324\/13 = 0.\nAnswer: -18, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 227.951.\nAnswer: -230.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*c**2 + 121*c**2 + 229*c**2.\nAnswer: 426*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59647848 to the nearest integer?\nAnswer: 7723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one fifths of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-3))\/((-1)\/3). Suppose c*y = 45 - 15. Let n = y + -6. Solve n = -4*u + u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 + 135. Suppose 5*o - 5*q = 45, 0*o + o + 5*q + 21 = 0. Suppose b = o*s + s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 743415307?\nAnswer: 743415307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 + -26. Let t be 1\/(-4) + 11\/w. Solve t = 4*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 * 10.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and 56353996.\nAnswer: -61989395.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from szaaaaslaaalaapssa.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 5 + 0*d**2 + 0*d - 4\/3*d**3. Let t(p) = -38*p + 19*p + 18*p. Give t(l(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 16, 63 = -2*i - 5*c - 53. Let x be ((-8)\/i)\/(2\/(-9)). Let a be 2 + ((-11)\/4 - -1). What is the smallest value in x, 1, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 1707625.\nAnswer: 0, 4, 1707625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 261454852 and 18.32?\nAnswer: 261454833.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (-106)\/3)*6. Let b = 132 + u. Let q = -42 - b. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -347, -0.1, 0.4, 1\/53, 0.1 in descending order.\nAnswer: 0.4, 0.1, 1\/53, -0.1, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 801*r + 2. Let f(n) = -2*n - 30. Let g(x) = -x - 10. Let b(v) = -f(v) + 3*g(v). Determine b(u(i)).\nAnswer: -801*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 544 + -2120?\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 4*x**2. Give k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + t + 33 = 4*w, -2*t - 10 = -w. Let u(r) = r - 3. Let x be u(w). What is the third derivative of 0*v**3 + 3*v**2 - v**x - 2*v**3 + 2*v**3 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24958\/411807)\/(1\/55*3).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-624)\/(-52))\/(0 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8452.07 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 8, 50 = -2*q + 3*y + 56 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27723\/29393 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023*x - 2550 = -1098*x for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 + 134. List the prime factors of 21\/(-14)*t\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-260)\/248) - ((-160)\/(-25) + -7)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 2*k - 21. Let f(r) = -r**2 + r - 10. Let i(d) = -5*f(d) + 2*j(d). What are the prime factors of i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 645.6 + -646. Which is the nearest to -1? (a) 0 (b) k (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.4. Let d = 30.9 - 31. What is the closest to 1 in d, -3\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300689 take away -0.056?\nAnswer: -1300688.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/120*2 - (0 - 45015\/(-6)). What is m rounded to the nearest one hundred?\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -3*o**5\/190 - 11*o**4\/114 - 4*o**3\/19 - 4*o**2\/19 - o. Solve k(n) = 0.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/3))**(9\/4)*c**(-2\/5)\/(c*c\/(c\/c**(2\/5))))\/(c*((c*c**(-2\/11))\/c*c)\/c*c*c**(3\/4)*c*c*c**(-1\/2)\/(c\/(c\/c**(-4)))) assuming c is positive.\nAnswer: c**(-673\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/35*-1)\/(61\/4270).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42*-57\nAnswer: -2394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3377359 is divided by 1732.\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 11:26 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0 + 1 + (-1 - (-12 - -6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15358820?\nAnswer: 2, 5, 17, 199, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 6:00 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101 - -101?\nAnswer: 1110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4. Suppose v + 10 = 5*q. Let z(y) = y**3 - 4*y**2 + 6*y - 6. What is the lowest common multiple of q and z(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4913028 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 517*q**6\/20 - 709*q**3\/2 + 9*q**2 - 11. What is the derivative of h(z) wrt z?\nAnswer: 9306*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d + 2 + 6*d**2 - 10*d**3 + 9*d**3 + 2. Let p be v(7). Let t = 5 + p. Solve -5*f = t - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 4)*(-8)\/(-14)*2278\/536.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -43. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*y + 0*y = 6, 0 = 3*v - y - 6. Let i = 443 - 431. Find the second derivative of -9*c - 2*c**3 + 12*c**2 - i*c**v wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 3:48 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 22 + 4 - (-24 + 37).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.458966 nanometers in meters?\nAnswer: 0.000000001458966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12360263 is divided by 297?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 13812 + 13819 = 2*k, t - 9 = -5*k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Suppose 4*u - 2*t = -4*t + 14, h*u - 2*t - 4 = 0. Suppose u*c = 2*c + 5, -c = -2*f + 11. What is the remainder when 22 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -36. Suppose -5*y = 3*m - m - 39, -y - 165 = -g*m. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -11. Suppose 2*w = 6, z*s + 3*w - 30 = -2*w. Suppose 0*d = d - s*y, 26 = 3*d - 2*y. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g = -5*d + 66, 3*d + g = 44. Let q(o) = -o**3 + 13*o**2 + 13*o + 16. List the prime factors of q(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6435882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 721 - 1872. Let a = w + 1154. Let 1\/5*o**2 - 5\/2*o - 1\/5 + 5\/2*o**a = 0. Calculate o.\nAnswer: -1, -2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 24*z + 59 = -13, 3*m + 155 = -2*m + 3*z + 23 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 - 650017*n**2\/3 - 108336*n.\nAnswer: -n*(n + 325008)*(2*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**2\/11 + 174*n\/11 - 1248\/11.\nAnswer: -6*(n - 16)*(n - 13)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 7768\/1613?\nAnswer: 7768\/1613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -156319 less than -156319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33166 - -4?\nAnswer: 33203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 16*s - 12. Calculate the remainder when 119 is divided by h(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -19*p**3 - 283*p**2 - 693*p + 967. Let f(n) = 6*n**3 + 94*n**2 + 230*n - 322. Let x(w) = 7*f(w) + 2*z(w). Factor x(c).\nAnswer: 4*(c - 1)*(c + 4)*(c + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -24*u + 597. Determine k(25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -8817 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -100. Let w(c) = c**2 + c - 1. Let f(d) = 9*d**3 - 36*d**2 - 36*d + 45. Let j(l) = o*w(l) + f(l). What is the first derivative of j(z) wrt z?\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 9. Let l be v(0). Let z = l + -7. Solve 3*b + 15 = 5*c, -4*c + 4 = -z*b - 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3047 = -64*y + 4007 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047172 plus -42.2?\nAnswer: -42.247172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(2 - (3 - 2)). Let j = 8 + n. Suppose 2*r + j*p = 42, 5*p = -r - 4*r + 105. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 2962?\nAnswer: -5924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 241*p**5\/60 + 3*p**2 + 28. Let s(n) = -n**2. What is s(g(i))?\nAnswer: -58081*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953573?\nAnswer: 659, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13840 - 7985. What are the prime factors of x?\nAnswer: 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 24231013?\nAnswer: 24231023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 833, 1721, 2739, 3953, 5429, 7233, 9431?\n\"Answer: 11*s**3 - s**2 + 814*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 9, t: 11}.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 372049854?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1\/208, 1\/766 in decreasing order.\nAnswer: 1\/766, -1\/208, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -289267 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -588.16 - -562. Let c = x + 25.9301. Let u = c - -0.23. What is u rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Let q = 2.55 - v. What is q rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:28 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2512568924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + 4*n - 2. Let f be r(3). Let v = f - -25. Let x = v - 5. Solve 2*k = x*b + 15, -3*k - 2*k + 20 = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 308\/61 or 6?\nAnswer: 308\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82.204 + -0.204. Let q = -5072621 - -5072703.00037. Let c = q - a. Round c to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1) - (-6)\/10. Let k be ((-3)\/(-12) + (-5)\/(-12))*6. Suppose -20 = -4*v - k. Which is the closest to j? (a) 3\/8 (b) -1\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k - 10937 = -125*k - 1722. Solve 2*o - 21*o = k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36262 or -36275?\nAnswer: -36275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 35*s**2 + 38*s + 170. Let q be g(-34). Let d(m) = 26*m - 1. Let t be d(2). Calculate the greatest common divisor of q and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, 11, 32, 59, 92, 131?\n\"Answer: 3*u**2 + 6*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 1)*4.\nAnswer: 4 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0*c**3 + 0 + 1\/420*c**6 + 0*c**4 + c**2 - 2*c - 4\/105*c**5. Factor k(u).\nAnswer: 2*u**2*(u - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 0. Let d = -47 - -50. Suppose s = -d*k - 3. Are k and -2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/7)\/((11\/132)\/(3\/9))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - -54. What is the remainder when 45 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 55, 213, 471, 829, 1287, 1845?\n\"Answer: 50*m**2 + 8*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1061, 2158, 3255, 4352, 5449, 6546?\n\"Answer: 1097*b - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-4) + -1 - 3. Put 3, q, -3 in ascending order.\nAnswer: -3, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12694.9 rounded to the nearest 100?\nAnswer: -12700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1018\/2153?\nAnswer: -1018\/2153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5434*h**2 + 49504.\nAnswer: -10868*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35276 divided by -8819.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -4 - (sqrt(3) + sqrt(24)\/sqrt(32)))*-1.\nAnswer: -5*sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -9 + 25. Let a be d\/20 + (-28)\/(-10). Let l be 9\/6*a\/9. What is the second biggest value in l, 3, -2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 140*w + 4900.\nAnswer: (w - 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = 4*o - 130, 2*m - 5*o = 52. What is the remainder when ((-42)\/(-8))\/(-7)*-100 is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0913 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 33 - 13 = 0. Which is the third smallest value? (a) 9\/4 (b) -0.1 (c) x (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (59*(-1530)\/(-14463260)*4\/(-3))\/(6\/14)\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10826169 divided by 1\nAnswer: 10826169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 1. Let m(z) be the first derivative of -z**4 - 3*z**2\/2 - 2*z + 556. Determine m(j) + 2*p(j).\nAnswer: -4*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l + 15 = 0. Suppose 6*m = m. Which is the nearest to -6? (a) -1 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/3 - 7*f**3\/3 + 14*f**2\/3 - 8*f\/3 = 0. What is f?\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 + 136*g\/9 - 730\/9.\nAnswer: 2*(g - 5)*(g + 73)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 10\/2) + 5. What is the second derivative of 202*p**b + 159*p - 399*p**4 + 251*p**4 wrt p?\nAnswer: 648*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1104 and 890192.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 318211138 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*c = -0*p - 21, -p - 4*c = 7. Find f such that 5\/6*f**2 + 1\/6*f - 2\/3*f**p - 5\/6*f**4 + 1\/2*f**3 + 0 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 2. Suppose -28 = -4*s - 4. Let g(d) = 1 + 4 - s. Determine 5*g(p) - 2*u(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29029.9 - 29030. Let p be 1\/(-3) - 1\/(-3). Which is the closest to p? (a) i (b) 1.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 11060084?\nAnswer: -11060088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + b + 9, 34 = -4*g - 4*b + 2*b. Let z be 2\/g + 306\/136. Sort -1, -0.12, z in increasing order.\nAnswer: -1, -0.12, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44390*x**3 - 3*x - 21212?\nAnswer: -266340*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 296401100 to the nearest 100000.\nAnswer: 296400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 - 7*f + 50. Calculate z(6).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(2\/11))\/x)\/((x\/x**10*x)\/x))\/((x*x*x\/x**(3\/5))\/(x\/(x**7*x))) assuming x is positive.\nAnswer: x**(-32\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 1. Suppose w + 8 = -w. Let b be (-5)\/30*w*-3. Let p(s) = -s**2 + 2*s. Suppose 3*d + 1 = 4*d. Calculate b*n(h) + d*p(h).\nAnswer: h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h = 3034 - 2390 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from sgrls?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 633864, 633860, 633856, 633852?\n\"Answer: -4*s + 633868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + i - 5*i - 10*i to the form n + l*i and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -666718 divided by 333359.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u = 44*u + 3*j - 5, 20 = -4*u + 3*j. Which is the third smallest value? (a) u (b) 1\/7 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 119, 357, 747, 1283, 1959?\n\"Answer: -w**3 + 82*w**2 - w + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9}. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/9 - 2\/(1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152740988 to the nearest integer?\nAnswer: 12359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.15 - 2.55. Let r = 0.03 - 0.33. Let b = 0.2 - 0.3. What is the smallest value in j, r, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -786250153 - -19912\nAnswer: -786230241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136174994 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4455 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 19. Let p = z - -6. Suppose 45 = p*n - b, -2*n - b - 4 = -34. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 543.18 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6804593*j**6 + 2*j**5 + 5521181*j**2.\nAnswer: -816551160*j**3 + 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 0.23 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 6 = -3*l, 2*w + 4*l + 3 = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72362 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14)*(-9 + 1840\/192)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46615579?\nAnswer: 46615579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3266 and 53943386.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 + 112?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -3. Let b be (-14162)\/i - 10\/(-45). Round b to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -288*a + 284*a - 5*v - 25, -5*a + v = -5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/38)\/(-51*(-253)\/(-1564))*11.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 120528?\nAnswer: 602640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -329409, -329337, -329269, -329205, -329145, -329089, -329037?\n\"Answer: -2*w**2 + 78*w - 329485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/(-448)*6\/3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3.5. Let l = -689471\/10 - -68947. Which is the fourth biggest value? (a) -27 (b) l (c) j (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.042 - -18.042. Let j = 17.7 - y. Which is the third smallest value? (a) j (b) -5 (c) 5\/3 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1066, 4298, 9684, 17224?\n\"Answer: 1077*g**2 + g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 5. Let c = -3 + 13. Calculate h(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2 + 3. Let r(j) = 4*j**2 + 5*j + j - 3*j**2. Let h be r(-6). Solve 0 = 4*i - 0*y + 2*y - 18, 5*i + q*y - 20 = h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153 or -155?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h - 15. Suppose -21*c = 14*c - 700. What is the lowest common multiple of j(-6) and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/4))\/v*v*v*v**2*(v*v*v*v*v*v\/v**(-1))**(-2\/27)*(((v\/(v*(v*(v*v**(-2\/5)\/v)\/v*v)\/v)*v)\/v)\/v)**(-5\/3)*v**(-5)\/v**(-1) assuming v is positive.\nAnswer: v**(79\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29 - -17509?\nAnswer: 17532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**5\/60 - 7*k**4\/24 - 2*k**3\/3 + 4*k**2. Let z be y(-6). Let s = -1 + 1.3. What is the nearest to s in 1, 3, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = 4*i - 403. What is the greatest common factor of 31 and i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 21. Let x be p(-8). Suppose 0 = x*j + 7 - 272. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 = -6*c + 2*c, -5*n + 9 = c. Let a = -5 + n. Let z = a + 14. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n - 7. Let l(m) = 7*m - 13. Let o(q) = 3*l(q) - 5*z(q). Determine o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 225, 819, 1807, 3183, 4941, 7075, 9579?\n\"Answer: -u**3 + 203*u**2 - 8*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 - 162871?\nAnswer: -1628a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o + 5*o + o**2 + 2661 - 2700. Is 13 a factor of r(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6861.\nAnswer: 3, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3328 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (5 + sqrt(500)*2 + sqrt(500)))**2 + (-3 + sqrt(500)*2)**2.\nAnswer: 80*sqrt(5) + 4034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293950?\nAnswer: 2, 5, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-2) + 1\/2. Let l(q) = 26*q - 1. Let b be l(d). Let v = b + -69. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548684.8 tonnes in nanograms?\nAnswer: 548684800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.3 + 9.3. Let y(w) = -18*w**2 - w - 1. Let m be y(-1). Let k be (-3 - -5)*(-2)\/m. Sort r, k, 0.2 in descending order.\nAnswer: r, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205 and 89913205.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.0132?\nAnswer: 0.00396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4043506 to the nearest integer?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 45 = 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = 2*u + 13*x + 72, -785*u + 786*u = x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5507548*q - 206976 = -5505700*q for q.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51642 by -9.\nAnswer: -5738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 27 = 103. Suppose -d - 72 = -t. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1\/8 (c) 0.8 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 8*c - 6. Let g be p(7). Let l = g + 0. Let o be ((-4)\/(-30))\/((-8)\/10). What is the nearest to l in o, -4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -24000113?\nAnswer: -24000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v + 3*v + 3*v. Let f(q) = -2. Let r(i) = f(i) - 2*g(i). What is the first derivative of r(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -14*d + 5*d. Sort d, -4, -1, 5 in descending order.\nAnswer: 5, -1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -563.87 <= 0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 1 + 2 + 3. Suppose 0 = d + 4*k - 8, j*k = -3*d - 0*d - 21. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/6 - 1\/6. Let a = 4.1 - 8.1. What is the smallest value in m, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*p - 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*x**4 + 317*x**2 + 105*x**2 - 3*x**5 + 261*x**2 - 95*x**2 - 504*x**3.\nAnswer: -3*x**2*(x - 1)*(x + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 3 - 10*o**3 - 17 + 11*o**3 + 5*o**3 + 6*o**2. Find the second derivative of g(z) wrt z.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -96. What is the remainder when (456\/32)\/(8\/32) is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 383 and 188053.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/15 + 6\/(-405)*-19. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 168219 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**2 - 11*g - 3. Let h(z) = -z**2 - z. Let j(r) = -3*h(r) + n(r). Let i be j(-6). Is (9\/i)\/(2\/(-708)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 - 2443940*g + 746605340450 = 0. Calculate g.\nAnswer: 610985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75 + 8932?\nAnswer: 89a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13819, -11543, -9267, -6991, -4715, -2439?\n\"Answer: 2276*z - 16095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**4\/6 - 4*v. Let m(g) be the first derivative of -g**2\/2 - 1. Calculate b(m(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3561 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 2*q - 121. Let v be (q + (-2)\/5)\/((-24)\/(-120)). Solve v*n + 2 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -72. Calculate the remainder when 692 is divided by n.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1324 or -1325?\nAnswer: -1324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5*z + 2*z = 30, 2*q - 5*z - 35 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 16 = -3*k, 5*b + 20 = -29782*k + 29787*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03736 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 1 - 1)*(2*a - 2 + 2) - 97*a**2 - 22*a**2 - 173*a**2.\nAnswer: -288*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(4\/((-16)\/12))\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrrr when four letters picked without replacement from rqrqrrrrr.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6986524 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, o: 3, g: 3, p: 10}. What is prob of picking 2 g and 1 q?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*k - 3*k - 92*k + 10*k + 4*k as b*k + o and give b.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4\/6 - 3445*w**3\/6 - 29385*w**2 - 519210*w - 3086100.\nAnswer: -5*(w + 18)**3*(w + 635)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 174371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 597, 6699, 23269, 55545, 108765?\n\"Answer: 873*k**3 - 4*k**2 + 3*k - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 13 = n - o, -5*o - 7 = 2*n. Let i = -2.76574 + 2.71574. Which is the smallest value? (a) 0.01 (b) n (c) i (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.576448 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/2492 and 143\/14952.\nAnswer: 14952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -6*c + 903. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 19 = 2*j - 15, 4*u - 3*j = -35. Let a(d) = -14*d + 55. Calculate the remainder when a(u) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - x - 3*x + 24 = 0, -5*x = -15. Suppose f = 5*g - f - 76, 58 = 3*g + 5*f. What is the smallest common multiple of g and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 177*l**3 - 2*l**2 + 4*l - 5. Let f be b(4). Suppose -k + 228693 = -f. Round k to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*h - 5*y, 4*h - 2*y - 32 = -4. Calculate the remainder when h is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23033364 divided by 97599.\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 115 + 486 = -5*v, -5 = 5*q. Let y be 2\/11 + (-220)\/v. Suppose y*n - 33 - 137 = -2*w, 352 = 4*n + w. List the prime factors of n.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3269 times -5?\nAnswer: 16345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2001, 2924, -1 in ascending order.\nAnswer: -1, 2001, 2924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 7*j**2 - 4*j + 9. Let n be h(7). Let r = n - -55\/3. Which is bigger: r or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - -2 - 1020\/(-204). Sort -5, a, 708.\nAnswer: -5, a, 708","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448, 1549, 3374, 5917, 9172?\nAnswer: 13133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppppppmpppmppmp. What is prob of sequence pmm?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*g**3 - 83*g**3 + 48*g**3)*(0*g - g + 2*g) + (-g + 4*g - 2*g)*(-13*g**3 - 12*g**3 - 4*g**3) + 4*g**4 - g**4 - g**4.\nAnswer: -11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbzz when four letters picked without replacement from {z: 7, b: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -2\/7, 2, -0.016?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j + 181*j - 1661 = 66*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4 + 497855*o**3 - 497854*o**2 = 0.\nAnswer: 0, 1, 497854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 5*w + 1. Let t(o) = 3*o**2 + 9*o - 2. Let u be 12*1*18\/(-27). Let d = u + 15. Calculate d*n(m) + 4*t(m).\nAnswer: -2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 32819\/(-555) + 59 + (-3)\/(-27)*3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/1590 and 187\/3600?\nAnswer: 190800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + 55. Let u = k + -36. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 72, -2, 4, 8, 11897 in ascending order.\nAnswer: -2, -1, 4, 8, 72, 11897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -55150 rounded to the nearest one thousand?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5767 is divided by 960?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/72*2*-18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -16. Let y(o) = -2*o - o + 0*o + u*o. Let f(z) be the first derivative of -z**3\/3 + 6. What is y(f(i))?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.1 - 28.45. Let r = 6045863 - 6045863.34999932. Let u = r - t. What is u rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1995, -3974, -5965, -7974, -10007, -12070, -14169?\n\"Answer: -n**3 - 1972*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2979 = -3*d, -83*d + 78*d = -20. Calculate the remainder when u is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 10*z + 2138. What is y(-227)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1136.517 litres to millilitres.\nAnswer: 1136517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 1) + (-26)\/(-2). Suppose 5*u - 142 - 98 = 0. Let v = u - a. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6873426 is divided by 796.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1389 + 822*t + 3*t**3 + 1389 + 2*t**2.\nAnswer: 3*t**3 + 2*t**2 + 822*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 670\/11? (a) -0.5 (b) -64.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-5 + (-1 + sqrt(192) - sqrt(192)) - sqrt(192)))**2 - ((-1*sqrt(150) - sqrt(150))\/sqrt(10) - sqrt(15) - sqrt(15))\/(sqrt(45)\/(sqrt(9)*2))) + -5.\nAnswer: 104*sqrt(3) + 223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 881 - 143 = 0. Let a = p + 682. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 4:20 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1660380.2*0.13.\nAnswer: -215849.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*w - 24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -147*a + 9. Let j(y) = 74*y - 4. Let v(p) = -11*j(p) - 6*l(p). Let i = 13 - 10. Is v(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 227142.\nAnswer: 1817136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -3*b**3\/2 - b**2 - 1163*b. Let s(k) = 7*k. Calculate y(s(d)).\nAnswer: -63*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8868 - 71095\/8. Let t = s + 19. Suppose 5*d - 19 = -4. Which is the second smallest value? (a) d (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = 3, 0 = 5*i + 5*n - 5. Suppose -5*d - 1 = y + 20, 4*y = -5*d - 24. Let f be 3\/(-1*4\/d). Sort -7, f, i.\nAnswer: -7, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/24 and -76\/21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 138984936 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -125097, -250311, -375525?\n\"Answer: -125214*x + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 4 + 0*g + 1\/2*g**2. Let f(p) = -2*p. Determine 2*f(a) + 7*l(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -72008, -71729, -71450, -71171?\n\"Answer: 279*z - 72287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + -2.6. Let h = -0.019 + 2.719. Let c = p + h. What is the closest to -2 in 3\/5, c, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let k(n) = 2*n**2 - 4*n. Let s(w) = 4*a(w) + k(w). Suppose -2*z + 13 = -z. Let b(v) = 3*v**2 + z*v**2 - 9*v**2. Give s(b(j)).\nAnswer: 98*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(3\/4)\/(d**1*d**(1\/2))*(d\/d**(-1\/3))**(-37)\/((d\/(d\/(d\/((d*d**(-3\/2))\/d))))\/(d*d**(1\/5)*d)) assuming d is positive.\nAnswer: d**(-3113\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20566 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.7 - -21. Let p = 2.1 + w. Let q = p - 1.9. What is the nearest to 0.2 in q, 1, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6*f = 2*f + 28, -4*r + 36 = 5*f. Let c be -3 - 1*r\/12*153. Let s = c - -57. Solve 0 = s*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86523 greater than 86523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11*r**3 - 948*r**2 - 111*r + 73. What is the hundreds digit of h(87)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106385 by -25.\nAnswer: 21277\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8712091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5942239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 14*r**2 + 15*r + 1. Let o be u(-15). Let g(q) = 47*q + 2. Is g(o) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-122))\/((-10302)\/1256844).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 - 6 = 0. Suppose -3*f + f + 360 = -4*k, -f - k = -186. Let v = f + -63. Calculate the greatest common divisor of g and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 134, 365, 596?\n\"Answer: 231*x - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4044120.6 and -38.\nAnswer: -4044158.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 3733977*p.\nAnswer: -3*p*(p - 1244659)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1530019*i**2*s - 4*i*s + 439*i - 16*s + 2 wrt i.\nAnswer: -3060038*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let t(m) be the second derivative of -2*m**3 - 8*m. Determine t(q(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:27 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11054 (b) -0.4 (c) 4\/5 (d) -4160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10}. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, -2, -3 in descending order.\nAnswer: 3, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110011 - -101101100110110000?\nAnswer: 101101110000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 8:25 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, 29, 1\/4, -3\/4, 82, -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zccc when four letters picked without replacement from {z: 1, c: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o + 11*o + 12*o + 42053 - 45*o + 8*o.\nAnswer: -2*o + 42053","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2. Suppose -2*x = -0*x + q - 97, -4*x + 189 = 3*q. Let g(a) = -76*a + 76*a + x*a**2 + 36*a**2. What is s(g(o))?\nAnswer: 7569*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 458 + -456. What is the second derivative of -l*n**2 + 3*n**2 + 10*n - 2 + 5*n**2 + 45*n**3 - 3*n**2 - n**2 wrt n?\nAnswer: 270*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, 2\/33, -1, 0 in decreasing order.\nAnswer: 5, 2\/33, 0, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5790 and 110370.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -12. Let u = -4 + 9. Let o be 9\/6 + u\/10. What is the closest to -1 in -0.1, o, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*v + 602*v + 22908 = 876*v for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 6*w**2 - 1. Let r(g) be the third derivative of g**6\/60 - g**5\/30 - g**4\/24 - 11*g**2. Let x be r(2). Calculate h(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 177*z**3 + 28*z**2 - 13*z + 29. Is y(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21827 - 21824. Solve 2*r - 4 = 0, -5*l = r - 9 - s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -245*q - 994 - 153 + 133 wrt q.\nAnswer: -245","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/142 and (-1)\/2*61\/10.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*f**2 + 34*f - 1 wrt f?\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o + o - 4*o)*(10*o + 6*o - 7*o) + 0*o**2 + 2*o**2 + 4*o**2 + (o**2 + 0*o**2 + o**2)*(1 - 1 - 2).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 0. Let q = i - -7. Let p = -6.12 - 10.88. Sort p, -1\/7, q in decreasing order.\nAnswer: -1\/7, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - z. Let y(j) = -4*j**2 + j + 3. Let v(t) = 7*t**2 - 2*t - 5. Let g(q) = 6*v(q) + 10*y(q). Let d(m) = g(m) - r(m). What is d(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 992 = -6*c + 5*d, 5*c + 434 = 3*d - 395. Is c < -168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 3*a**2 - 4*a - 5. Let t be (6\/9)\/((-2)\/12). Let w be u(t). Sort w, 5, 1 in increasing order.\nAnswer: w, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 41. Let p = r - 17. Does 11 divide p - 1*(-88)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4827, -19302, -43461, -77328, -120927?\nAnswer: -174282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08402621 rounded to four decimal places?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 10*r + 44 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*m**2 + 54*m**2 + 7*m**3 + (-m + 2*m - 2*m)*(-4*m**2 + 3*m**2 + 2*m**2) - 3*m - 2*m**3 + 3*m + m**2 - m**2 - m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g + 2. Let j(i) = 10*i + 3. Suppose -12*y - y - 9*y - 110 = 0. Determine y*r(t) + 3*j(t).\nAnswer: 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 10) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**2\/9 - 1399092*p + 2202140727522 = 0.\nAnswer: 3147957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2847 + -3200?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13032 + -10?\nAnswer: 13022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (63\/(-28))\/(3\/(-8)). Let r be 4 - 3\/s*16. Let j be 3 - 3 - (r + -3). Solve 3*m + j + 8 = 3*x, 22 = -5*m + 4*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 20. Let z be x(9). Suppose s - 9 = -h + 2*s, -z*h - 17 = 5*s. Suppose -h*y - 9 + 1 = 0. Sort -4, -1, y in decreasing order.\nAnswer: -1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i = 0. Solve 4*o + 3*s - 19 = i, 1 = -4*o - 0*s + s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (27 + (-5 - 57) - -15).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1166 + 1202. Calculate the greatest common divisor of w and 1644.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**5\/15 + v**4\/8 - 10*v**3\/3 + 10. Let g(o) be the third derivative of j(o). Differentiate g(u) wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 10*d**2 - 8*d + 7. Suppose 12*q + 231 = -q + 114. Determine i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44119669?\nAnswer: 11, 59, 157, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 4*r - 3*r. Suppose -d + 0*d = r. Solve 4*k + d*k + 20 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 8*x**2 - 11*x - 7. Let a be s(-7). Suppose -i - a = -90. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - 263*o - 1540 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-18)*1089\/(-121). Let x = -0.2 - -0.2. What is the nearest to 0 in 2, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.048 (b) 1\/5 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (816\/64)\/(63\/(-84))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -430 (base 12) to base 10\nAnswer: -612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m*m\/(m**7\/m))\/m)*m)\/m**8)\/(m*m**(-2\/11)*m\/(m*m**(-5))) assuming m is positive.\nAnswer: m**(-64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 0*j + 4*j**2 + 1 + 6*j**3 - 7*j**3. Let w be b(3). Suppose w*g - 100 = -0*g. Calculate the highest common factor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 25\/8 - 3*w**2 - 1\/8*w**4 - 5\/4*w + 5\/4*w**3 = 0. Calculate w.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 - -59. Let t = 3\/2 - u. Calculate the common denominator of -93\/10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 35*d - 20. Suppose 0 = -4*v + 18 + 6. Let q be j(v). Round q to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155626 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 15665.\nAnswer: 34\/15665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**3\/6 - 11*u**2\/2 - u. Suppose 52*a - 47*a + 45 = 0. Calculate f(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**5\/6 + u**4\/2 - u**3\/3 - 2*u**2 - 4*u\/3 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 3*t**2 + 0*t**6 + 0 - 1\/630*t**7 + 0*t**4 + 0*t**3 + 27*t + 0*t**5. Factor l(f).\nAnswer: -f**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3519 is divided by 3456.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 15) to base 9\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2 - 83054*s + 1412496 = 0 for s.\nAnswer: -41544, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2)*-10 - 4. Are r and -18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8448 divided by -4?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 5, 3, 62.69?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -506345*x + 506349*x - 4*q, 3*q + 15 = -x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + 34888. List the prime factors of l.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*f - 6*f. Let h(a) = -a**2 + 7*a - 6. Let v be h(f). Suppose -15 = -b - v*b. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 2)*(-3*t - 4*t + 6*t)*(0*t + 3*t - 2*t) as c*t + m*t**2 + w and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-897)\/(-1794)*7\/(28\/(-304))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1271*i - 1463. Is c(20) 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 zdzndzw. What is prob of sequence zwd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3805 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 8:06 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5.4. Let g = -2.7175 - -2.2175. What is the closest to 0 in g, n, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17515, 70074, 157675, 280318, 438003, 630730, 858499?\n\"Answer: 17521*q**2 - 4*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16396 divided by -1358.\nAnswer: 8198\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -368 + 131. Let t = -236.9999801 - l. What is t rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 26*b = 0. Suppose b = -2*k - k + 24. Solve 2*n - 4 = -4*f, -3*f - f + k = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15*m - 6 - 10 + 2*m**2 - 3*m**2 - 7. Let i be y(-13). Suppose -i*j - 6 + 66 = 0. Calculate the remainder when 119 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2\/5 + 381537*c\/5 + 763078\/5 = 0.\nAnswer: -2, 381539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h, -s - 2*s + 5*h = -22. Calculate the highest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2066 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 - 284*w**2 + 5101*w - 2299. Determine m(121).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165258 is divided by 318.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (801*m**3 + 349*m**3 - 136*m**2 + 79*m**2 + 461*m**3 + 57*m**2)*(-17*m**2 + 0*m**2 + 5*m**2).\nAnswer: -19332*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75968 or -379843\/5?\nAnswer: -75968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 14. Suppose -p - 2 = 4*a - 3*a, -y*p = 4*a + 10. Let w(d) = 0*d - 2*d**2 + a*d + 5*d**2. Give w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100 - 74) + (42 - 7).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 16*i**2 - 19*i - 2. Calculate the remainder when p(-15) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1551 + 6766*i - 1551.\nAnswer: 6766*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 8. Suppose -11*h = 3*h - 224. What is the smallest common multiple of h and l(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2854?\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9461*h**2 + 15*h + 2333529 wrt h?\nAnswer: -18922*h + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*t**4 + 3700*t**3 - 99620*t**2 + 28160*t = 0. What is t?\nAnswer: -128, 0, 2\/7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90 - -0.305.\nAnswer: 90.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**5\/20 - r**4\/12 + 3*r**3\/2 - 3*r**2 - 5*r. Is f(4) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -427159.295326 + 426804.295. Let d = s - -355. Round d to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-8) + 296\/32)\/1. Suppose -u + 12 = 3*m, 4*m + 112 = 4*u - 0*u. What is the greatest common factor of x and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 375\/200*(-228)\/15. Let f = 0.05 + -3.05. What is the smallest value in f, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/35*(-9)\/27.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -22*y**2 - 19812*y + 488160 = 0.\nAnswer: -10170\/11, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 - r**2 + 8*r + 11. Calculate the remainder when 57 is divided by p(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/6)\/(n\/(n**(-1)*n))*((n\/n**(-4\/5)*n)\/n)\/(n*n**(1\/5)))**(-8\/7))**(-20) assuming n is positive.\nAnswer: n**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/3 - 421*f**2\/6 + 401*f\/2 + 270 = 0. What is f?\nAnswer: -108, -1, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 0.4362883993?\nAnswer: 0.3362883993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 66*t**2 + 59*t - 267. What is the remainder when s(-65) is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010001010111 - 1000101001100?\nAnswer: 111001100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -q - 37, 2*q - 7*q + 102*c - 125 = 97*c for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6*l - 104 = -10*l, 3*l = 3. Solve 6*t + w = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 3715*b + 7450.\nAnswer: -5*(b - 745)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -0.09, -1\/17, -2\/21, 1\/43, 3?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1719?\nAnswer: -5\/1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a. Let k(l) = -2*l**2 - 3*l - 59. Calculate k(c(f)).\nAnswer: -50*f**2 - 15*f - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-14)\/(-70))\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a2 (base 15) to base 7.\nAnswer: -2261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -304412402 (base 5) to base 10\nAnswer: -1247852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -105\/4 (b) -8.12 (c) 0.2 (d) 1.6 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.036 (b) -1\/5 (c) 1\/6 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.475 + 11.525. What is the nearest to -3 in -4, 0.4, -0.5, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at least 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26865*k**3*x + 289632*k**3 - 8*k**2*x wrt x?\nAnswer: 26865*k**3 - 8*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -41802119.\nAnswer: -41802119.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 - (1 + 8) - 144\/16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -304.2 - -303. Is m < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5392*l - 2687*l - 2761*l - 3.\nAnswer: -56*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2406 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*s - 8 = r, 0 = -2*r + 4*s + 8. Let m be (-5)\/(-20) - (-15)\/r. Suppose -l - 1 = -m*j + 2, 2*l + 3*j - 5 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.6 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 6*s - 29 = 4*p, -5*s - 25 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -10*g + 269. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6 + 0)\/(84\/(-42) + (-430)\/(-210)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 27 - 38*b + 43)*(b - 3*b + 0*b).\nAnswer: 76*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.3, -1.2, 5, -1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 0.1.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**7\/35 + a**5\/30 + 3*a**2\/2 + 6*a. Let r(t) be the first derivative of f(t). What is the third derivative of r(h) wrt h?\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + 0*w + 0*w)*(2*w**4 + 0*w**4 - w**4) + w**5 + 4*w - 4*w + (-2 - 3 + 1)*(-4*w**5 + 2*w**5 + w**5).\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - m + 103. Let x be i(0). Suppose 3*p - 4*c + 185 = 0, 23*p - 3*c = 20*p - 186. Let r = x + p. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 4*r**2 + 2*r - 4. Let z be u(-4). Let y = z + 26. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o - 43. Let y(f) = -9*f + 127. Give 17*m(v) + 6*y(v).\nAnswer: -3*v + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(((63\/198)\/7)\/((-5)\/(-50)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 6*g**2 - 6*g + 3. Let l be n(7). Suppose -l = 2*u - 4*u. Suppose 3*z + u*w + 1 - 10 = 0, 0 = 5*w - 15. Is -2 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 75 + 2*a**3 + 6 + 14.\nAnswer: -a**3 + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 1. Let r be q(-3). Suppose -r*x - 15 = 5*f + 18, f - x = -3. Let y(z) = z - 2. Give y(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + h + 2. Determine s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1069.5? (a) 2 (b) -4\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 1. Suppose -j = -3*j + 2. Let g(c) = -7*c + 7. Give j*g(l) + 6*q(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, v: 1, a: 1, m: 2, j: 1, i: 1}. Give prob of picking 1 f and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 111011?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -1. Let y = -2.4 + r. What is the third smallest value in 1, y, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - i - 1. Let j be s(3). Suppose 0 = -0*r - j*r + 15. Suppose 4*c - 2*u - 9 = -r, -3*c - 5*u = -24. What is the remainder when 4 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5305463 is divided by 1768486.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:31 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 14*o**2 - o + 2. Let p be b(-2). Let s = p - 93. List the prime factors of s\/(-12) + 2\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 772354?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31\/3 + -158\/15. What is the second smallest value in 2\/7, 1\/5, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65423805390 to the nearest 1000000.\nAnswer: -65424000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4523*i**2 + i - 16. List the prime factors of o(2).\nAnswer: 2, 3, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/24)\/((-6999)\/5319240)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l - 17*l + 1147814 = -5*l. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1570023m in millimeters?\nAnswer: 157.0023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*w - w, -4*v + w = -48. Suppose 8 + 48 = 7*l. Calculate the smallest common multiple of l and v.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -172 - -63. Let u be ((-279)\/(-2))\/(1\/2). Let t = u + b. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*p - 0*n + 14, 2*p + 4*n = -16. Let g be (-38)\/16 - (0 + p). Let y be 15\/9 - (-2 - -3). Which is the nearest to -2? (a) y (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 j, 1 y, and 1 i when four letters picked without replacement from {f: 1, y: 1, u: 2, j: 2, i: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - j - 5 = 0, 4*a - 14*j = -17*j - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 9 = -6. Suppose 15 - 35 = -j*x. Suppose -5*p = -x*k - 1428, -3*p = -k - 3*k - 860. What are the prime factors of p?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen quarters of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4 = 3*l, -l - x - 5 = 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43544059, -43544061, -43544063, -43544065, -43544067?\n\"Answer: -2*o - 43544057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**4\/4 + 5*k**3\/3 - 3*k**2 + 5*k - 386. Determine y(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-4 + 4 + 2*v) - v + 0*v + 0*v + 6*v + 2*v - 6*v + 0*v + 2*v - 3*v + 2*v + 0*v - 4*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.806774 micrograms to nanograms.\nAnswer: 806.774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 490. Let h(o) = o**2. What is h(z(u))?\nAnswer: u**2 - 980*u + 240100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341 and 3707?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3356216 is divided by 1371.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**16*u))**(1\/6) assuming u is positive.\nAnswer: u**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3 times 0.053248?\nAnswer: 0.2822144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - 4 - (-87 + 79).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 304123\/1950 + -2030\/13. Calculate the common denominator of c and 7\/190.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from gpeogpgglgleeuolepg.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25479878 is divided by 1273992?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.12 (c) -3\/5 (d) -1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 20. Suppose 0*z - 3*z + 6 = l. Suppose 2*c + z*c + n = 24, -3*c - 5*n = -35. Solve -t = -c*s + 2, -s = -5*t + 7 + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 4 + 0 + 3. Suppose 0 = q + 3*u - 18, 2*u + 1 = q + 3. Suppose -4*c = -6 - q. Is t bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-55 - -1)\/((-31 + 16)\/15). Solve -5*q - 2*h - 61 = -n, -4*q = 2*h + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**2. Let h(k) = -21141*k**2. Determine j(h(w)).\nAnswer: 1787767524*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2. Let q(k) = 14*k**2. Calculate 3*a(y) - q(y).\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1.3, 3\/407 in descending order.\nAnswer: 16, 3\/407, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 282 - 269. Solve 0 = -3*l + j + 3 + 6, l = -3*j + g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -579288.\nAnswer: 1\/193096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2. Let d(p) = p**3 - 45*p**2 + 53*p. Let b(l) = 4*d(l) - 36*h(l). Factor b(x).\nAnswer: 4*x*(x - 53)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 4, -0.02, -923?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + b = 477, b - 18 - 578 = 5*i. Let z = 78971\/15980 + 13\/1598. Calculate the common denominator of i\/20 - (-2)\/5 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51089 - -4.\nAnswer: -51085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 6*r**2 - 36*r - 72.\nAnswer: -(r + 6)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -468304\/113 or -4144?\nAnswer: -4144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3 + 796*n**2 + 4080*n = 0.\nAnswer: -5, 0, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*f = -84, 8*k - 5*f - 112 = 4*k. Suppose -2*x - c = -k, 18 - 1 = x + 2*c. Solve 0 = 3*w - 2 - x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-15)*10\/(-4). Let w(s) = 7*s + 1. Let l be w(1). Suppose 2*t - 12 = -l. Solve -t*f + a = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 30*c - 25*c = 5*u + 80, 9*u = -4*c - 196 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-1)\/(-1)*5. Suppose 2*f = 3*x - 34, -5*f - 104 + 14 = -5*x. Let m be (-15)\/(-36)*(-6)\/f. Which is the second smallest value? (a) 3 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/9 + 31*j**4 + 345880*j**3\/9 + 8246400*j**2 + 539568000*j + 531360000 = 0. What is j?\nAnswer: -180, -1, 820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4670, -4671, -4672, -4673, -4674, -4675?\n\"Answer: -f - 4669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.9 - -20.405. Round j to 1 dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + u - 14. Let y be g(-7). Suppose -r = -2, 2*r - y = 5*x - 3*x. Let k = 58 + x. What is the second smallest value in k, -4, -5, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -815*x + 864*x - 485, 5*x + 5*o + 275 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10\/7)\/(l\/(l**4\/l)*l)*(l\/l**(2\/35)*l)**(1\/53) assuming l is positive.\nAnswer: l**(-727\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350073643?\nAnswer: 941, 372023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 4:13 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 232*b + 551. Give l(-2).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a factor of 42725100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*i = 84*i + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -11*s**7\/7 - s**3\/3 - 5. Find the third derivative of o(f) wrt f.\nAnswer: -1320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*r**4*v - 17*r**2*v**2 - 8*r*v**2 + 2*r + 14 wrt r?\nAnswer: 720*r**2*v - 34*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 11:39 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.04, -0.87, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5952 and 35016?\nAnswer: 8683968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 28*u + 4. Let q be b(-5). Let t be q\/288 + (-2)\/(-9). Is t at least as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-90)*-6)\/((-48)\/72)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.024292 to three decimal places.\nAnswer: -2.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -10\/459, 3 in descending order.\nAnswer: 3, 1\/6, -10\/459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015586 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z - z)*(-1 + 2 + 1)*(32*z**3 + 56*z**3 + 7*z**3).\nAnswer: 380*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j + 22*j - 8891 = -55*j - 11116 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11250470639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22\/110 - (66\/(-22) + (-46)\/(-30))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 1. Let x(w) = -3*w - 2. What is -7*h(p) + 4*x(p)?\nAnswer: -5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1088) + -5*(1 + sqrt(1088))**2 - ((sqrt(1088) + sqrt(1088) + 2)**2 + -1 - sqrt(1088))) + 6*(5 + 3*sqrt(1088)).\nAnswer: -9767 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 4 (c) 10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 754115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 35 = -5*o. Suppose 5*b - 4*w = 36, -o*b + w = 6*w. Suppose 0 = 3*a - 9, 5*a - 35 = 4*s. Sort -3, s, b.\nAnswer: s, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18780 is divided by 8666.\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 23 = -4*h, q - 33 = -5*h - 11. Let y(f) = -7*f**3 - 7*f + 3. Let m(l) be the first derivative of l**4 + 2*l**2 - l - 2. Calculate h*m(p) + 3*y(p).\nAnswer: -p**3 - p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 0*o - 1\/2*o**2 - 25. Let a(p) = -14*p. Calculate j(a(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (1 + 31) - -37?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10101000100 (base 2) to base 10\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340, -395, -516, -727, -1052?\nAnswer: -1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3736*i**2*o**2 + 2*i**2*o + 960*i**2 - 4*i*o**2 - 931*i*o + 137*i + 6*o + 1 wrt i.\nAnswer: 7472*o**2 + 4*o + 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26.6 and 15631.\nAnswer: 15604.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 + 324*r**3 + 2169*r**2 + 4884*r + 3636.\nAnswer: 3*(r + 2)**2*(r + 3)*(r + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -65 - (-635 + 656) - 6.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*n = -328, -357*n = -5*z - 355*n + 392. Suppose -3*g + 68 = -g. What is the remainder when z is divided by (-2)\/(-4) - g\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354859.\nAnswer: 233, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275686 is divided by 168.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 44 - 16 - 12 - -23.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26445, 105786, 238021, 423150, 661173, 952090, 1295901?\n\"Answer: 26447*l**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 566*s + 567.\nAnswer: -(s - 1)*(s + 567)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/5 + (1 - 0). Let i = -0.74 + -0.06. Let w = 0.8 + i. Which is the third smallest value? (a) w (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 380 by 380.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.5364987 rounded to two decimal places?\nAnswer: 66.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -514\/5 > -2\/8191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 3\/(12\/16). Suppose 0 = -2*c - i*c - 8, 3*c = 5*a - 2. Let x(q) = -5*q - 8. Let w be x(0). Sort w, a, -4 in descending order.\nAnswer: a, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 96 - 145219*i + 145281*i.\nAnswer: 62*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199, 400, 601?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 - 2*i**2 - 2*i**4 + 2*i**2 + 4*i**4 - 4*i**4 + 2*i**4 + (-i**4 - i**3 + i**3)*(-3 + 1 + 1) - 2*i**4 + 3*i**4 + 0*i**4.\nAnswer: 2*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1095, -4309, -9665, -17163?\nAnswer: -26803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 57?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f + 3*f - 1 + 0*f + 4. Let g be a(10). Let d(q) be the second derivative of q**5\/20 + q**4\/2 - 7*q**3\/6 - 3*q**2 - 8*q. Calculate d(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*m - 0*m + 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369248?\nAnswer: 2, 11, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 + 7*q**2 + 2*q + 5*q**3 - 2*q - 13*q**2 - 2*q + 5 in the form c*q**2 + t + m*q**3 + i*q and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10341402*v**2. Let t(h) = 2*h. Give n(t(p)).\nAnswer: 41365608*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*g**2 + 3*g**3 - 268*g**2 - 32*g**2 + 263*g**6 + g - 849*g**6 wrt g.\nAnswer: -70320*g**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15104149 to the power of 1\/2, to the nearest integer?\nAnswer: 3886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - 4\/8*152. Let t be v\/(-32)*-9*2\/(-15). Which is the third smallest value? (a) 1 (b) -16 (c) 0.4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 1)*(2*m**2 + 19*m**2 - 2*m**2).\nAnswer: 76*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdttttdtdddt. What is prob of picking 3 t?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3467, -3464, -3461, -3458?\nAnswer: -3455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - 4*y + 2*y + (2 + 3 - 6)*(-1 - 3*y + 1) + 3*y + 1 - 1 - y - y + 3*y - 3 - 3*y + 3.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -458*i - 347. Suppose -3*r - 31*r - 1802 = 0. Is j(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 152694 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:06 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 3*m + 1. Let a be z(0). Let q = 1232 - 1203. Calculate the remainder when q is divided by a + 0 + 120\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/12 + -3 - 111\/(-30)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 991.23 to the nearest 10.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (8 - 4) + 16 + -1 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 267.2 - 267. Suppose 3*k - 90 = -2*k. Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 1648 = -1666. Suppose b*r - 13*p = -17*p + 44, r = -4*p + 24. Calculate the highest common factor of 14 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 36, 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43.36 - -44. Let v = 6.64 - s. Sort v, -2, -1\/5, 1 in increasing order.\nAnswer: -2, -1\/5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1099722 and 2392.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56745.\nAnswer: 3, 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -928248 divided by 4.\nAnswer: -232062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydyddzgtgtftyyg. What is prob of picking 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595180063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddh when three letters picked without replacement from {o: 7, h: 1, j: 1, t: 4, d: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minus 0.02?\nAnswer: 288.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3337, 13348, 30049, 53440, 83521?\n\"Answer: 3345*h**2 - 24*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2\/(-12)*-6). Let o(u) = -11*u - 5. What is the smallest common multiple of o(z) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -9*n - 1\/6*n**4 + 5\/2*n**2 + 0*n**3 + 0. Differentiate j(x) with respect to x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925*d = 399*d + 422*d + 5720 for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 18, z: 2}. Give prob of sequence dddd.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1) + 2 - -3. Let c**3 + s*c - 11*c**2 + 2*c**2 - 3*c**3 + 5*c**3 = 0. Calculate c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12671?\nAnswer: 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 280\/(-74))\/(-2). Let f be 6\/15 + 12\/20. Is f 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 1231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1121724 and 186954.\nAnswer: 1121724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8712247 and -78.\nAnswer: -679555266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 1279135500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -14*w**4\/11 + 74*w**3\/11 + 92*w**2\/11 - 64*w + 192\/11 = 0.\nAnswer: -3, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -y + 2*a, 0*y = -4*y + 2*a + 50. Suppose -4*p + 5*b = -24, 4*p + 0*b = -4*b - y. What is the derivative of 9*k + 4 - 2*k + p wrt k?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 15*p**2 + 8*p + 918. List the prime factors of h(-39).\nAnswer: 3, 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 4*x**2 + 14*x. Calculate r(-7).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 + 105. Let u = x + 77. Calculate the remainder when 60 is divided by u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 8*d - 4*d. Let l be (25 - d)*-1*2. Is -4 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 - (-1 - 0 - (98 - 75))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, x: 13}. What is prob of sequence xx?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)*i\/i**(-1)*i*(i**1)**(-29))\/(i**(-2\/7)*i*(i**(1\/10)\/i)\/i*i*i*i\/(i\/(i**5*i))*i**(-1\/9)) assuming i is positive.\nAnswer: i**(-20813\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1198 - 841. Let y = a - 243. What is the highest common divisor of y and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4628*b**5*m - 106*b*m - 2*b + 2*m + 1 wrt b.\nAnswer: 92560*b**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 25 = -2*j. Suppose -10*y + 5 - j = 0. Let u(d) be the third derivative of -d**6\/120 - d**5\/12 - d**4\/12 - d**3\/2 + 4*d**2 - 3. Give u(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -71013568, -71013570, -71013574, -71013580, -71013588?\n\"Answer: -h**2 + h - 71013568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3388\/25*n + 792\/25*n**2 + 2\/25*n**4 + 2662\/25 - 68\/25*n**3.\nAnswer: 2*(n - 11)**3*(n - 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 391. Let h(m) = -2*m**2. Give q(h(x)).\nAnswer: -4*x**4 + 391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/((-2)\/(-24)). Let q(k) = -2*k - 6. What is the units digit of q(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 177864?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + c + 154 = 2*c, -2*m - 4*c + 58 = 0. Let p = 43 - m. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = 2*g - 10, 0 = -5*n + 2*g - 10. Let r be 2\/((-14)\/(-4) - 3) + n. Factor 6*j**2 - 3*j**5 + 3*j - 24*j**4 + r*j**4 + 14*j**4.\nAnswer: -3*j*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*a + 33*a + 1890 = 0. Suppose -2*h - 3*i + a = 0, 7*i = -3*h + 3*i + 281. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 - 5*p**2 + 2*p + 4. Let h = -18 - -16. Let w be o(h). Suppose 0 = w*b - 646 - 2478. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 - -5 - (0 + (-9 - -7) - -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**4\/v)*v*v**(3\/5))\/(v*v*v*v**(-4)\/v*v**4))\/((v*v**(-1\/3))**(-24)*(v\/v**(2\/7))**(-29)) assuming v is positive.\nAnswer: v**(1201\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*h**3*y**3 - 82621*a*h**3 + 7*a*h*y**3 - 24*a*h + 89*h**2*y wrt h?\nAnswer: 12*a*y**3 - 495726*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2456 (base 8) to base 13\nAnswer: -7b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 3\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = 0, 52*a - 51*a - 488 = -3*f. Is 38 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 + -678\/5. Let s = 2089\/8 + -2085\/8. Which is the nearest to i? (a) 0.13 (b) s (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teertrett. Give prob of picking 1 t and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 187*c - 1 + 17 to g*c + x and give g.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -938318 * 0.002\nAnswer: -1876.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from twwutetccceuutuetu?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eumuxbecb. What is prob of picking 2 b and 1 u?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823147370.\nAnswer: 2, 5, 113, 229, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**3 - 8*i**2 + 137*i + 280. Calculate z(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -4\/7, 5, -3, -12, 0.4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -5 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(2\/9))*t*t**(-6\/7))\/(t**(-1\/16)\/t**(-4)))**22 assuming t is positive.\nAnswer: t**(-44539\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -5*d - 13, -5*d + 471*o - 465*o - 7 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**5\/30 - 3*l**4\/8 - l**3\/2 - 21*l**2 - 2. Determine z(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/5 + (-16)\/(-5). Let g = -1 + 2. Let n(q) = -17*q + 709. Let i be n(42). Sort g, c, i.\nAnswer: i, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (305 + -310)\/(1*2\/(-296)). What is the highest common factor of y and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1. Let j(f) = f**2 + f. Calculate -h(v) - 2*j(v).\nAnswer: -2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - y - 2)*(2 + 3 - 7) + 11*y - 67 + 67 - 15*y + y + 13*y - 5.\nAnswer: 12*y - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 8*d + 1. Let w be q(-7). Let c = w + 12. Let l be (-23)\/(-4) - (-25)\/100. Does l = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8\/3)*l)\/((l\/(l*l**(-22)*l))\/l)*(l\/l**(-28)*l)**(-19) assuming l is positive.\nAnswer: l**(-1775\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -62617 (base 8) to base 13\nAnswer: -baac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 5*u + 1. Let v be o(-6). Let h be 1\/((v\/3)\/(-5)). Suppose p = 8 - h. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -32*y**3 + y**2 + 7*y. Let n(z) be the third derivative of -21*z**6\/40 + z**5\/30 + 2*z**4\/3 + 82*z**2. Let g(b) = 7*d(b) - 3*n(b). What is g(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9982, 19924, 29866, 39808, 49750?\n\"Answer: 9942*i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35201, -70388, -105563, -140726, -175877, -211016?\n\"Answer: 6*t**2 - 35205*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -71390 (base 11) in base 3?\nAnswer: -12022001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f - 9, 0 = 3*h - 5*f - 9. Suppose -8*d**3 - 8*d**3 - 8 + h*d + 20*d**3 + 14*d**2 = 0. What is d?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33541353 (base 9) to base 13\nAnswer: -34a67c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**4 + 5280*o**3 + 163985*o**2 + 148170*o - 317440 = 0?\nAnswer: -1024, -31, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-468)\/14)\/(14\/(-98)))\/((-10)\/(-15)). Calculate the highest common factor of 1161 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y - 2\/3*y**4 + 0 + 34\/3*y**3 - 152\/3*y**2 = 0.\nAnswer: 0, 1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v**2 + 8*v. Let t(a) = a**2 + a. What is -l(j) + 4*t(j)?\nAnswer: -2*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 223 - 143. Let a = z + 31. Let c = 111.67 - a. What is c rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(3\/(3 - -1038)). Let k = d + 157. What is k rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -39*p**3 + 13*p**2 - 10*p - 47. Is b(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-8)*o**8)\/(o\/o**(-10)*(o**(1\/8)*o)\/o))**15)**(2\/11) assuming o is positive.\nAnswer: o**(-1335\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = 4*y - 4*t, -15 = 5*t. Suppose 1524 = y*p + 3*p. Let w be ((8\/2 - 8) + p)*-744. Round w to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/60702 and -109\/804.\nAnswer: 121404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -8. Let l = 79 - -73. Let m be (-6)\/(-14) + (2 - l\/28). Which is the closest to -0.1? (a) 0.1 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) + (-3)\/(-3). Let c(z) be the first derivative of 2 - t*z**3 - 2*z**2 - 2*z. Factor c(q).\nAnswer: -2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -351, -1 in decreasing order.\nAnswer: 6, -1, -2, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0.5, -1\/6, -0.5, -452, 1\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u - 6 = 0. Let d be (-2)\/2 - (-45)\/(-9). Let q(s) = s**3 + 6*s**2 + 5. Let o be q(d). Solve u*f - 4 = o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 184, -27?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63863*g**4 - g**2 + 245652*g wrt g.\nAnswer: -766356*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22677 is divided by 216.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -930 (base 12) in base 10?\nAnswer: -1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*f = 47, 0*f - 5 = -p - 3*f. Let a = -9 + 6. Let b = a + p. Solve -3*m = -n - b, 3*n - n = 2*m - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 14. Let j be i(-10). Let l = -2 - j. Suppose 0 = l*n + n - 63. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+10943\nAnswer: 10942.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1217 divide 34451630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 44852?\nAnswer: -44847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-98))\/(2\/7)*(-11)\/(-66)*-12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422478, -844958, -1267436, -1689912, -2112386, -2534858, -2957328?\nAnswer: -3379796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h - 140 = -68 - 8. Let y(n) be the third derivative of 0 + 0*n + 1\/6*n**5 + 13*n**h + 0*n**4 - 5\/2*n**3. What is the derivative of y(u) wrt u?\nAnswer: 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**5 - 407*b**4 - 36*b**3 - 115*b**2 + 376 wrt b?\nAnswer: -60*b**2 - 9768*b - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10132624 - 0?\nAnswer: 10132624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + sqrt(275) + -4 - (5*(sqrt(275) + 0))**2)*-6 + -1*(sqrt(275) - -3*(-1 + sqrt(275)))*-1).\nAnswer: -165108 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7749 + 12101. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 16*o + 41 = 4*r, 2*o + 49 = 8*r + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnoffnooffonfnfyoffn. What is prob of sequence yoo?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -4\/3, -3\/5, 43, 0.61, -13?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(-1 + 1 + 1)*(2*n + 1 - 4*n - 4) as x + r*n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + 3 + 0 + sqrt(1872) - -1*(sqrt(1872) - -2*sqrt(1872)*3))**2 + 5.\nAnswer: 576*sqrt(13) + 119823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 + 5 = 0. Is (-1270)\/(-50)*(o - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, b: 8, j: 7, i: 2, g: 1}. Give prob of picking 1 i, 1 g, and 2 j.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.621669l in millilitres?\nAnswer: 3621.669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 9*z = 6*z - 17, -3*x - 5*z - 27 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) -2\/3 (c) 10 (d) -0.05 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72348 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r + 24 + 26 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/9*(91\/35 + -2). Let y = 8 - 6. Factor 2\/3*l**y + 2\/3 + o*l.\nAnswer: 2*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1372464 * -0.2\nAnswer: 274492.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**15)\/((((y\/(y*y**11))\/y)\/y)\/y)*(((y*(y*y**(-5)*y)\/y)\/y)\/y)**41 assuming y is positive.\nAnswer: y**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.311 + 319605895?\nAnswer: 319605860.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2574 + 216.5426. Let s = -217 + t. What is the smallest value in s, -12, 1\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24 - 18) + (3 - 4). Solve -31 - z = -12*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 82 (b) -0.2 (c) 4 (d) 0 (e) 0.4 (f) -18 (g) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (2 - 6)\/(-2). Suppose 3*a + 28 = -5*r, -4*r - 4*a - 20 = 12. Sort -13, r, -3, k.\nAnswer: -13, -3, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 53633, 56043, 58459, 60887, 63333, 65803, 68303, 70839?\n\"Answer: x**3 - 3*x**2 + 2412*x + 51223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**0\/o*o)\/o)**(3\/8)\/(o**(-2\/7))**(-3\/5))\/(o\/((o*o*o**(-10))\/o)*(o*o**13)\/o*o)**(-2\/35) assuming o is positive.\nAnswer: o**(33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) - 42\/(-18). Suppose x + o*x = 16. Suppose -22 = -x*z + 10. Calculate the remainder when 22 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 43*x**2 + 92*x - 422. Let m be q(41). Put 15, m, -5, 1 in descending order.\nAnswer: 15, 1, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c**3*s + 5*c**3 - 60*c**2 + 334*s**4 + 6 with respect to s.\nAnswer: 5*c**3 + 1336*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6584 or -6567?\nAnswer: -6584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101568 + 101568.0051439. Round u to four decimal places.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793 is divided by 758.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4828 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 31\/(-31) + 2\/2. Sort -3, -17, y.\nAnswer: -17, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) 4 (c) 1 (d) -19\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -54990*m. Let o(z) = -148*z. What is o(c(l))?\nAnswer: 8138520*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 18. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 3*k + 13. Let t be ((-3)\/(-4)*-2)\/((-3)\/(-12)). Let r be m(t). Sort r, -4, 5, -2.\nAnswer: r, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 1)*(-6 + 1 + 4) - 1 + 2 + 1 - 3 + 0 + 10)*(-2 + 0 - 1)*(-h**3 - h**5 + h**3).\nAnswer: 18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, n: 3, f: 4, p: 2}. Give prob of sequence ndfn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3967.1272 - 4346.12909. Let v = -379 - z. What is v rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/((-198)\/(-165)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129.44 + 59.401. Let j = -70 - d. Let b = j - -0.203. Round b to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*l + 43 = 5*l, u = -3*l + 9. Let g(a) = -3*a**2 + 5*a + 5. Let r(n) = 8*n**2 - 12*n - 12. Determine u*g(j) + 5*r(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 - 23 + 2*r**2 - 7*r**2 - 2*r + 7 to m + f*r + h*r**2 and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzzzmhhmzhz. What is prob of picking 2 h?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnnpnqgnpqb. Give prob of picking 2 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4032 - 4015. Is c >= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9334739 is divided by 9334729.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-236)\/(-20) + 4 + 126\/105. Calculate the greatest common factor of r and 2955.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 (base 16) in base 15?\nAnswer: 25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 30 = 5*i, -b + 4 = 4*i - 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 80\/(-440) - 2182\/(-22). Let g be 711\/k + -7 + 53\/11. Let q(v) = -v**2 + 4*v - 1. Determine q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 1462?\nAnswer: -1461.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 120*j**2 + 117*j + 119. Calculate s(59).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/4410 and -97\/6930.\nAnswer: 48510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973546 is divided by 88493?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (4 + 1 - (-2 - -12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4362 + -21804\/5. Factor -2\/5*o**2 - x*o + 0.\nAnswer: -2*o*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2))**12\/((x*x\/x**(2\/17)*x)\/x*x**(-7)*x*x))**(-12\/13) assuming x is positive.\nAnswer: x**(-7980\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (3*sqrt(8)\/sqrt(4))**2 + -5 + (sqrt(2) - sqrt(2)*-1)**2 + (sqrt(2)*-2 + 0)**2 + -2.\nAnswer: sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b**2 - 271*b + 55420. Calculate l(68).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 7*r - 17*r**2 - 20*r**2 + 4*r**2 - 4*r**2 + 10*r**3.\nAnswer: 10*r**3 - 41*r**2 + 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212250 and 42?\nAnswer: 1485750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 11*c**2 - 4*c - 23. Suppose 206*j - 15 = 201*j + 5*q, 78 = 5*j + 4*q. What is l(j)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - 9*b - 32. Let m(t) = -10*t**2 + 21*t + 65. Determine 7*a(r) + 3*m(r).\nAnswer: -2*r**2 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2128 - -339. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 249, 223, 179, 117, 37?\n\"Answer: -9*l**2 + l + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(32) + (sqrt(192)\/sqrt(6))**2 + sqrt(32) - (sqrt(2) - (2*sqrt(8))\/sqrt(4))) + (3*(sqrt(72)*1 + sqrt(72))*-6)**2)*-2.\nAnswer: -186684 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = g + 80, 2*t = -3*g + t - 310. Is g > -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, t: 6}. What is prob of sequence tcct?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8817 by -607.\nAnswer: 8817\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -408b56 (base 15) in base 9?\nAnswer: -5684180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3\/5 (b) -18 (c) -4\/27 (d) -0.7 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 103289.2376 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 163544 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 - -99. Suppose 133 - 293 = 20*h. Which is the closest to g? (a) 5 (b) 1 (c) -0.1 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 475.5 + -476. What is the fourth smallest value in -4, 2, n, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4468 = 520*k - 1348 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1834 divide 8562341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2301211 (base 6) in base 10?\nAnswer: -116935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.2158198 months?\nAnswer: 0.00018465165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1935 and 470071915.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 + 3*g. Let w(d) = -2*d + 4*d + 3*d**2 + 0*d. Let p(l) = -2*k(l) + 3*w(l). What is the units digit of p(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/9 - 2)\/(48\/(-72)). Solve -f*l + 10 - 30 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4\/91 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 - 4\/(24\/19) and -63\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v + 16, l - v = 5. Let g(o) = 4*o**2 - o + 1. Let w be g(l). Suppose -y - 12 = -w*y. 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 -76 (base 14) in base 2?\nAnswer: -1101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (64 - 14) - -40?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**4 - 5*y**4 - 2*y**4)*(7 - 1 + 1) + (0 + 3 - 1)*(8 - 4*y - 8)*(-27*y**2 + 27*y**2 - 9*y**3).\nAnswer: -19*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 33*u + 156. Calculate the remainder when 60 is divided by m(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122\/3 - (-1 + 2\/3) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 2*h**3\/39 - 50*h**2\/13 + 1250*h\/13 - 41. Factor m(b).\nAnswer: 2*(b - 25)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2846, -11727, -26644, -47597, -74586, -107611?\n\"Answer: -3018*w**2 + 173*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 631578 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -23*o + 9. Let i(c) = 11*c - 4. Let h(j) = 7*i(j) + 3*l(j). Suppose 5*q - 6 + 1 = 0. Let v be h(q). What is the highest common factor of 56 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/39147960 and 45\/2609864.\nAnswer: 39147960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49785691 divided by -6?\nAnswer: -49785691\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865 (base 11) to base 8.\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1809 + 2839. Let a = -684\/17 - -6593\/204. Find the common denominator of 1 + -1 + f\/(-60) and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*r + 2. Let y be ((-238)\/r)\/7*-2. Suppose -5*s = 3*v - 50, -2*v + 16 + y = 3*s. What is the greatest common factor of 6 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s + 52*s = -3*y - 27, -4*s - 36 = 0. Solve -4*h = -4*i - 0*h + 8, -y*i = 4*h + 38 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 298 + -44. Let b = 4137 + c. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 110, 197, 340, 557, 866, 1285, 1832?\nAnswer: 2525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 35*a**2 + 116*a + 81. Determine z(-38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(6\/(-11)) - -2. Let o = 0.39 - 0.19. What is the nearest to -1 in o, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + (-9 - (-8 + 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0.5, 221 in decreasing order.\nAnswer: 221, 0.5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/30*(-15)\/8. Suppose 0 = -8*f - 6 - 18. Which is the biggest value? (a) -2 (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 283 and 36224.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 5*q - 10921 + 10907 = 0, -2*b - 5 = 3*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0127 + 0.5127. Suppose -4*n + 3*n - 3 = 0, 12 = m + 3*n. Let x = m + -19. Which is the nearest to 3? (a) k (b) x (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 1. Let x(n) = n**3 + 7*n**2 + 6*n - 5. Let d be x(-6). Let o be q(d). Let y be 1*(0 + -2) - o. Solve 2*w + 2*c = -3*w - 16, -5*c + 2 = y*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174278771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 8:25 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**4\/2 + 433*y**3 - 23008*y**2 - 98928*y = 0.\nAnswer: -916, -4, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-7)*l**(1\/5))\/((l*l\/(l**(-2\/23)*l))\/l**2))**(4\/13))**(-3\/22) assuming l is positive.\nAnswer: l**(4062\/16445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*l + 6*l. Suppose l*k + 11 - 23 = 0. Suppose -3*i = -3*w + k, -2*w - 4 = -4*w - 3*i. Solve -w*q = -0*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - 0. Sort q, -3, 5 in decreasing order.\nAnswer: 5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*f = -218*f + 48. Which is the second smallest value? (a) f (b) 408 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.67 - -2.6. Which is the closest to o? (a) 0 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 + 21 - 60 + 36*i**2 + 10*i**2 wrt i?\nAnswer: 92*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(105)\/sqrt(7) + sqrt(1815)*-3)\/((sqrt(40) - (sqrt(40) + 6*2*sqrt(40) + sqrt(40)))\/(sqrt(512)*1)).\nAnswer: 232*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 902*w**2. Let x(a) = -a**2. Determine b(x(n)).\nAnswer: 902*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, n: 1}. Give prob of sequence ddn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -728 divided by -364?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 2*i = 25, 3*t - 3*i = -t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 478*y + 17. Let a(j) = 138*j + 4. Give -18*a(v) + 4*x(v).\nAnswer: -572*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.7288 + 13.7. Let y = 14 - 13.971. Let p = y + l. Round p to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26654.7151 to the nearest 100.\nAnswer: -26700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 11*k**3 + 0*k + 0*k**4 + 40*k**2 + 0*k**5 + 1\/20*k**6 + 11\/210*k**7 + 0. Differentiate y(p) with respect to p.\nAnswer: 44*p**3 + 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 52. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.02, 34 in increasing order.\nAnswer: -5, 0.02, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 2)*(18*v + 14*v**2 + 1 + 0*v**2 - 17*v**2) to y*v**2 + k*v + u and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 152183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 735 - 735 - 83*k as n*k + g and give n.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(153)*-2)\/sqrt(9) + sqrt(204)\/(sqrt(132)\/(sqrt(11)*-1)))*-3.\nAnswer: -12 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q + 2. Let d(g) = g. Let t(u) = b(u) + 3*d(u). Let l(p) = 2*p - 5. Let i(r) = -4*l(r) - 10*t(r). Let x(f) = 4*f**2. Give x(i(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2099021.\nAnswer: 2099021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*l, 5 + 1 = f - 2*l. Put 42, f, 5 in descending order.\nAnswer: 42, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20018546?\nAnswer: 2, 10009273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13745370 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: Work out 67697331 + -0.5.\nAnswer: 67697330.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*t - 5 = 215*t - 12*m + 4, 0 = 5*m - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -737923174 + -0.009345.\nAnswer: -737923174.009345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -p, -2*i + 2*p - 4*p = -6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/3, -3, 5327\/6, 1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12*d**2 + 2*d + 397. Let x(s) = 13*s**2 + 2*s + 496. Let b(k) = -5*o(k) + 4*x(k). Let h be 2 - -3*1*-1. Give b(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1213 or 1214?\nAnswer: 1213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 2506312074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 627.16 - -446.097.\nAnswer: 1073.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231\/4620*(1 + -2).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12353 - -17724. Let o be (2912\/12)\/((-4)\/(-12)) - -1. Let s = y + o. What is s rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 343 and 2216417.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**6\/480 + 17*y**5\/120 + 65*y**4\/96 + 4*y**3\/3 + 65*y**2 + 2*y. Factor b(w).\nAnswer: (w + 1)**2*(w + 32)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.079 + -5.921. What is the smallest value in j, -2, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -7 - (6 - (3 + -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1407778 - -1407771.999972. Let j = 19 + -13. Let u = j + y. Round u to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 7. Let f be 5 - ((2 - a) + 3). Let r be (-864)\/(-42) - 4\/7. Solve -f*m + m = r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/(-231) - (-6065)\/11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cehjhbm. What is prob of sequence mjbh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 8*t - 4. Let s be b(-6). Let h be ((18\/(-4))\/3)\/(57\/(-190)). Suppose -w + s = h*d, -4*w + 5*d + 128 = -w. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*b - 24 = 0. Let o(k) = -6*k - 14. Let f be o(b). Let j be (-2)\/(-7) - 346\/(-14). What is the highest common factor of j and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 22 = -2*l - 6, 5*l = -2*r + 41. Suppose 246*f**2 - 67*f - l*f**3 - 132*f**3 - 89*f + 27*f**4 + 24 = 0. What is f?\nAnswer: 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466*p + 6*p**3 + 21*p**2 - 3*p**2 - 3*p**2 + 11*p**2.\nAnswer: 6*p**3 + 26*p**2 - 466*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 108109724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(81 - 7*v + 61*v**2 - 85 + 4*v).\nAnswer: 61*v**2 - 3*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {x: 2, b: 2, l: 1, d: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 347 + -353. Let y be n*(-6)\/48*16\/6. Solve y*x + 7 + 1 = 2*b, -10 = -b - 5*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-2) - 869\/22*(-42)\/147. Determine m, given that b*m**3 + 6\/7*m + 15\/7*m**2 + 0 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:30 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -8. Suppose -2*h + 0*q + 6 = 2*q, n*h = -4*q + 8. Suppose -h*f + 21 = f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3\/5 (b) 56 (c) -2 (d) 5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i**(1\/2)*i)\/i*i)\/i*i)*(i\/(i**5*i)*i*i)\/i*i*i**(-2\/7)\/(i\/i**(-2\/5)*i))**(-13) assuming i is positive.\nAnswer: i**(5629\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127059966\/5 or 25411993?\nAnswer: 25411993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 + 56*i - 163*i - i**2 + 82*i)*(0*i**2 - 2*i**2 + 3*i**2).\nAnswer: -i**4 - 25*i**3 - 72*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*r - 4*x + 75 = 0, -5*r - 2*x = -85. Suppose 460 = h - r. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -45*n**3 - 20*n**2 - 31*n + 17. Is p(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666142 is divided by 4303.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5 + 18 - 2*x + 3*x. Let s be m(-11). Solve -l = 3*u + 6, -s*l - 1 + 0 = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266065 and 381?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 - 17*s**2 + 2*s + 152. Determine d(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23249 + 534729\/23. Which is the nearest to g? (a) 0.1 (b) -2\/13 (c) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 9. Suppose m = -2*x - 4. Let v(s) = -3*s**2 - 6*s - 3. Let c(f) = 16*f**2 + 29*f + 16. Let j(r) = -2*c(r) - 11*v(r). Give j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292821984 to the power of 1\/2, to the nearest integer?\nAnswer: 17112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 20*u + 101. Let j be m(9). Calculate the greatest common divisor of 34 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 650887 to the nearest ten thousand.\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4834, 9667, 14500, 19333, 24166?\n\"Answer: 4833*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 41, -51.8 in decreasing order.\nAnswer: 41, -5\/6, -51.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11916 + 16236. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109426934*y**2 + 2 - 109426934*y**2 - 2 - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huhjhuhu. What is prob of picking 1 h and 3 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779 a factor of 24612465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*g + 116*g**3 - 117*g**3 - 5*g - 1 + (-3 + 3 + 3*g**2)*(4*g - 3*g + g) as x*g**3 + c*g + l*g**2 + j and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z = -184*z + 95*z - 100 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22376.\nAnswer: 2, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25340, -171402, -567866, -1339934, -2612808, -4511690, -7161782, -10688286?\nAnswer: -15216404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767049 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5289906 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -80. Let x be (0 + -3 + a)\/(1\/(-2)). Let j(i) = 30*i**3 - 3*i**2 + 7*i - 3. What is the hundreds digit of j(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 19*k**2 - 13*k + 5. Let g(l) = 56*l**2 - 38*l + 15. Let h(j) = -17*a(j) + 6*g(j). Suppose 3 = -3*n + 4*z - z, 3*n = 5*z - 13. Is h(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/2*(-20)\/(-35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 33*u**2 + 237. Let f(v) = 34 + 2 + 17*v**2 + 75 + 7. Let k(l) = 5*f(l) - 3*x(l). Differentiate k(g) wrt g.\nAnswer: -28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(((z*z\/z**16)\/z)\/z)*z*z**(-1\/2) assuming z is positive.\nAnswer: z**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4736 divided by 2368?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011011001100101110111000111 + -11?\nAnswer: 101011011001100101110111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2418, 2425, 2432, 2439, 2446?\nAnswer: 2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 3*m**7\/35 - 13*m**5\/60 - 24*m**2. What is the third derivative of r(v) wrt v?\nAnswer: 432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277060291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 426 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1620)\/sqrt(9) - sqrt(10)\/sqrt(72).\nAnswer: 35*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2319010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 + 84. Suppose 2*x + 290 = f*x + 5*d, -2*d + 179 = 3*x. Let i = x - 187\/3. Put i, -4\/9, -0.1, 1 in increasing order.\nAnswer: -4\/9, -0.1, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/33? (a) 3 (b) -0.4 (c) 14376\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -11. Let l be 24\/7 - x\/(-5). Let d = 0.3 + -0.5. Which is the nearest to 2? (a) -4 (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w - 25. Let m(v) = -v**3 - 20*v**2 - 2*v - 36. Let j be m(-20). Let q be h(j). Find t such that -3*t + 21*t + 462 + q*t**2 - 447 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685 = -107*c - 156 - 1085 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 199)*(-8 - -11). What is the greatest common divisor of n and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11622 and 546.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1697 by -357.\nAnswer: 1697\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4298123.\nAnswer: 19, 226217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2419*y**6 - 10*y**5 - 5976*y**3 - 342003447*y**2.\nAnswer: 290280*y**3 - 600*y**2 - 35856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18*((-21)\/(-189) + 4\/18)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**4\/6 + t. Let u(l) be the first derivative of -8 + 0*l + 1\/2*l**2. Calculate u(w(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*s**2 + 184*s**2 + 186*s**2)*(s + 3*s - 2*s) + s**3 + s**3 - s**3.\nAnswer: 701*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13747 and 0.\nAnswer: 13747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11793 is divided by 5126.\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**5 + 5*l**4 + 25*l**3 - 25*l**2 - 20*l + 20 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/u)**32*((u\/(u**1\/u)*u)\/u)\/(u\/((((u*u\/(u**(2\/3)\/u*u))\/u*u)\/u)\/u*u)) assuming u is positive.\nAnswer: u**(-191\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 256 = 294. What are the prime factors of h?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/1267 or -605002?\nAnswer: -3\/1267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*a + m, m = -5*a + 373 - 350 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9719 in 4, 39, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-225)\/35 - 2\/((-14)\/3). Let o(x) be the first derivative of x**2\/2 - 8*x - 2. What is o(c)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -14. Let l(r) = -r**2 + 8*r - 3. List the prime factors of l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -14, -103.\nAnswer: -103, -14, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-6)*1)\/(65\/(-104))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 653.912808 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/3437112 and 113\/526932.\nAnswer: 525878136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 92. Let m = h - -32.7. Let u = m + -2. Which is the nearest to -0.3? (a) -2 (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.43 + -1.43. Let d = g - -0.8. Which is the closest to d? (a) -4 (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7538, 7541, 7544, 7547, 7550, 7553?\n\"Answer: 3*x + 7535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*o - 5*o = 10, 5*g + 45 = -4*o. Let s be -1*g\/(10\/4). What is the remainder when s - (2 + -6 - 67) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/7 + (-99)\/21. Let a(z) be the third derivative of z**4\/24 + 4*z**2. Let j(n) be the first derivative of -2*n**2 + 1. What is p*a(c) - j(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 - 165 = 5*t, -39 = -3*l - 2*t. Calculate the lowest common multiple of l and 81.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 - -2702.\nAnswer: 2702.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -13*q**2 + 29*q + 126. Suppose 0*n + 3*h = -n - 13, 4*h = 3*n. What are the prime factors of j(n)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 6:29 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2)\/(1\/(-17)). Let h = t - 3. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-16 - -25)) + -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**4 + 8*v**3 + 118*v**2 + 2?\nAnswer: -24*v + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 6 + 10 + -9 + 6 - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13.3 from 652178912.\nAnswer: 652178898.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) 4 (c) -8 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 1 (c) -1\/5 (d) 528 (e) 0.5 (f) -1.22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89383 - -2601?\nAnswer: 91984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -91*y - 4. Determine p(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 5*l = 9*t + 38695, 0 = -4*t + 5*l - 154735. What is t rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 d when four letters picked without replacement from ddaamaaamaa.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672855682 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2312103003 - 20?\nAnswer: 2312102323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, -1, 3, 26, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0883 and 5.17.\nAnswer: 5.2583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*k - g, 4*k - 21 + 45 = g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5\/5 - 468*y**4\/5 - 14067*y**3\/5 + 331302*y**2\/5 - 1082052*y\/5 - 3594456\/5 = 0. What is y?\nAnswer: -86, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 73915458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10285*z = 117944 - 447064 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = -2*m + 9, k - 3*m = -12. Solve -j - 2 = k*h, -h = -3*j - 6*h - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1190 times 3\nAnswer: -3570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 18*q + 24. What is i(7)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (22\/(-4) + 1)*-2. Let v(o) = -2 + o - 3 + t. Let n be v(-3). What is the biggest value in 0.4, -1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 9*d + 2*d - 4*d**2 + 8 - 8*d as k*d**2 + f + c*d and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100220 + 12211?\nAnswer: -10011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 953*h = 954*h - 30488. Is 74 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011111111000 (base 2) to base 10\nAnswer: 10232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k = -120. Suppose -26*p = -15*p - 264. What is the greatest common factor of p and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569311577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127\/4 - -32. Let i = 9\/232 + -433\/14152. Let s = -129\/854 + i. Which is the third biggest value? (a) 0.5 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 804*0.03.\nAnswer: 24.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-17 - 46) - 22\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyydyy. What is prob of picking 3 y and 1 d?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 13 - 2. Suppose -m - 6 = 8. Let c = 0 - m. Solve -5*f + c = -s*o, 0*f = o + f + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.066 + 0.096. Put -0.2, 4, g in ascending order.\nAnswer: -0.2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35\/114, 3\/4, -2.42 in ascending order.\nAnswer: -2.42, -35\/114, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -403, -391, -365, -319, -247, -143?\n\"Answer: l**3 + l**2 + 2*l - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*l - 681*l + 95424 = 70*l + 175*l for l.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-82)\/(-4) + 8\/48*-9. Suppose 7*u = 40 - w. Solve -3*p = -6*p - u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*-5 - (1 + -2). Let c(t) = -t**3 - 8*t**2 + 8*t - 4. Let d be c(h). Suppose 58 = -3*w + d*w. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1892 + 1?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.5604 millilitres in litres?\nAnswer: 0.0505604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -23*n. Let b(q) = 23*q. Let o(a) = 2*b(a) + 3*i(a). Let t(f) = -3*f**2. What is o(t(j))?\nAnswer: 69*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/4 + 2)\/((-15)\/50). What is the second biggest value in 0.3, z, 1, 6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**6\/1980 - w**5\/330 + w**4\/132 - w**3\/3 + 8*w**2. Let z(p) be the first derivative of n(p). What is g in z(g) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a factor of 957566608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*8\/(-48)*-4. Calculate the greatest common factor of j and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13046*d - 31203 wrt d.\nAnswer: 13046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -8*c. Let b be (1\/c - 0)\/(12\/(-312)). Is -156\/11 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from {o: 1, y: 1, i: 3, j: 1, w: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**8\/2184 + 2*s**7\/1365 + s**6\/780 - s**2 - 5*s + 29. Let n(t) be the second derivative of g(t). Factor n(h).\nAnswer: 2*h**3*(h + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 - 3*d**4 - 8*d**4 - 3*d**4 - 3 wrt d.\nAnswer: -56*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(-15)*-16970*(12 - 57\/5).\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 807?\nAnswer: 2\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) -0.1 (b) 6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 3*i + 20. Let n be b(-3). Suppose -1254 = -17*v - n*v. Calculate the least common multiple of 15 and v.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 2*l**2 - 3*l**2)*(-19 - 8*l + 19).\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00156086 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*p - 71*p + 652. Solve 1 = -3*c - p*s, 3*c = s - 6*s - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 7*r + 5. Let k be x(5). Suppose 2*h - t + k = 0, -3*t = 2*h - 6*h - 40. Find the common denominator of (-1940)\/(-88)*(-2)\/h and -113\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**32\/s)\/(s*s*s\/(s\/(s\/s**(-11\/3)))*s*s)*(s*(s*s**32)\/s*s)\/((s*s**(-5\/13))\/s))**(-40) assuming s is positive.\nAnswer: s**(-88480\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 0 + 5*s - s**3 - 3\/20*s**5 + 0*s**4 + 0*s**2. What is the second derivative of k(d) wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*i**2 - 2080*g*i + g + 21200*i**2 with respect to g.\nAnswer: i**2 - 2080*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbfbbfbbfbbbbfbbb. Give prob of sequence bb.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3562 + 483*k - 3562.\nAnswer: 483*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - x + 12. What is the units digit of x\/4*(14 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/30 - (-7403)\/(-20190).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -193*q + 9. Let b be c(2). Let d = -209 - b. Is 31 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/8*(-280)\/(-70)*(-2)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 4*m**2 + 2*m - 4. Let x be y(4). Let z(g) = 1 - x + 1 - 2*g. Suppose -6*j + 10 = -j. Determine z(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2339157?\nAnswer: 3, 43, 18133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*h + 3054 + 4087 + 8356 = 4397 for h.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 272 = -267, -g = 8*c - 32 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ettltlbabaib. What is prob of picking 1 t and 1 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0563 smaller than 204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9? (a) 2 (b) 1901 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 49*n**2 - 7320*n + 2849. Calculate z(149).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -741 divided by 13\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 1, -21, 214, 26 in decreasing order.\nAnswer: 214, 26, 3, 1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5\/7)*a)\/a**(-11)*(a\/(a*a**6\/a*a))\/(a*a**4*a*a) assuming a is positive.\nAnswer: a**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -2*q - 3*w + 4*w, 4*w = 20. Let t = q + -52. What is the closest to t in 0.4, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17127196.\nAnswer: 2, 4281799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/30503 and -19\/524097.\nAnswer: 5765067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107.5 + 108. Which is the third biggest value? (a) -5\/3 (b) 0.1 (c) o (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162 - 1780\/11. What is the closest to -2\/5 in 0.14, 2, u?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -208, -446, -710, -1012, -1364, -1778, -2266?\n\"Answer: -2*n**3 - n**2 - 221*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -380 + 3*l + 178 + 199 + l**2. Suppose 5*h - 5*b + 15 = 0, -5*h + h + 2*b - 2 = 0. What is i(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + b + 0*b - 2*b. Let m(a) = -15 - 4 + 2 - 8*a. Let s(q) = q + 2. Let t(v) = -6*m(v) - 51*s(v). What is t(i(f))?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*v + 6*v**2 + 14*v)*(v - 5 + 5)*(1 + 1 - 3) to q*v**2 + b*v**3 + j + p*v and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 77? (a) -4 (b) 1\/4 (c) 30 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/(-15) - 2\/10. Suppose -g - 11 = g + h*p, -2*p = 5*g. Find the first derivative of 3 - 69*x - g*x**2 + 69*x wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (15 + 1 + -11 + -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let m be (z + (-3)\/(-2))*-8. Let r = m + 4. Which is the closest to r? (a) 2 (b) -1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18d (base 15) in base 5?\nAnswer: 2413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(55))\/sqrt(11) + 0.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n**3 - n**2 + n - 1. Let r be m(1). Suppose -4*b - 4 = -r. Is b greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, b: 6}. Give prob of picking 2 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -270, -285, -298, -309?\n\"Answer: p**2 - 18*p - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 4*h**2 + 2*h + 34. Let t be f(-5). Let z be (1 - 2)\/(7\/(-2)). Put 0.1, z, t in descending order.\nAnswer: z, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 19 = -2*i, q = -i - 3*i + 19. What is the remainder when q is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 109645229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(10)\/sqrt(245))**2 - (sqrt(10)\/sqrt(5) + 3).\nAnswer: -145\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77.73798l?\nAnswer: 77737.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.105, -2, 2.46, 28.\nAnswer: -2, -1\/5, -0.105, 2.46, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + y**3 - y**3)*(2 - 4 + 3)*(28*y**2 - 143*y**2 - 6*y**2).\nAnswer: -242*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*f**3 + 13*f**3 + 3 - 3*f**2 - 5*f**3 + 4*f**2 to the form n*f**3 + u*f**2 + c*f + q and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -26. Let w(g) = g**3 + g**2 - 2*g. Let t be w(o). Suppose -x + 1 = t, u - 23 = 2*x + 34. List the prime factors of u.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-15))\/(1\/5). Let h be ((3 - 5)\/n)\/(2\/(-4)). Suppose 4*o = 2*t + 794, h*o + 377 = 4*o - 5*t. List the prime factors of o.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 11 = -1. Suppose -6 = -2*y - c. What is the smallest value in -0.05, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/(-14) + -2)\/((-7)\/28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1110001?\nAnswer: 1110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 545764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-684)\/(-27)*((-18585)\/(-14) - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821358841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o + 10 = 0. Solve -3 = 4*l - l, 0 = -s - o*l - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 q when four letters picked without replacement from {z: 5, k: 7, q: 4, v: 3}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 13140.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k**2 + 8*k + 8. Let o(d) = -d**3 - 2*d**2 - 10*d - 16. Let n be o(-3). Let x(y) = -21*y**2 + 10*y**2 - n + 37*y**2 - 23*y. Give 17*l(j) + 6*x(j).\nAnswer: 3*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 585*x - 181. Is q(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a day in hours?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*o**6 - 40*o**5 + 26353*o**2?\nAnswer: -1920*o**3 - 2400*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*s - 6 = 1, 5*p - 3*s + 11 = 0. Let g = 16498\/75 - 220. Is g less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -20*s - 18. Let z be h(-16). Let l be (1 + 24)*z\/5. Suppose -2*o + 749 = a, a + a - l = -o. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.78 + 8.61. Let y = -0.83 - -1. Let k = f + y. Which is the smallest value? (a) 0 (b) k (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153544375?\nAnswer: 5, 245671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 102. Let i(r) = 8*r + 292. Let x be i(-36). Calculate the greatest common factor of x and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 3:16 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 19*l**2 - 10*l - 5. Let w(q) = 4*q**2 - 2*q - 1. Determine 2*p(n) - 11*w(n).\nAnswer: -6*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24\/23 - 2005\/92. Calculate the common denominator of r and -39\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5 = 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.83 + 0.17. Let n = o - 13.9. Let h = -1.1 + n. What is the smallest value in h, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5260029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1031.9999977 - 1032. What is h rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3524 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -298275 by 3.\nAnswer: -99425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145 - -63. Let j = -13276 - -13287. What is the remainder when p is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/74 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4299 - (0 + 1 - 0). Let t = -67588375\/12 + 5628067. Let s = k - t. Calculate the common denominator of s and -23\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 283*i - 8. Let z(t) = 2*t**2 - 282*t - 10. Calculate -3*w(u) + 2*z(u).\nAnswer: -2*u**2 + 285*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 7. Let n be r(5). Which is the nearest to -0.09? (a) -4 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -303, -1227, -2771, -4941, -7743, -11183, -15267?\n\"Answer: -d**3 - 304*d**2 - 5*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2724253132, 2724253133, 2724253134, 2724253135?\nAnswer: 2724253136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 12. Let z be (6\/1 - 2) + -2. Suppose -2*m - 2*t + 0*t = 15000008, 0 = z*m - w*t + 14999988. Round m to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -13, 4, -109, -44, 3.\nAnswer: -109, -44, -13, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72889\/4 - -40891115\/2244. Let x be (-2)\/(-6)*(-3)\/(-102). Let u = b + x. What is the closest to 0 in -3, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-75) - (-1)\/5*-49. Which is the biggest value? (a) x (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 divided by -76?\nAnswer: 37\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311408 to the power of 1\/2, to the nearest integer?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/40)\/(702\/585)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k - 45. Let a be v(-10). Let r be (a - 2) + -2 + -3. Let d = -4 + 4.3. What is the closest to 2\/5 in r, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27844*m**3 - 13178*m**3 + 46213*m**3.\nAnswer: 60879*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -420668, -841768, -1262866, -1683962, -2105056, -2526148, -2947238?\n\"Answer: q**2 - 421103*q + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yllmgssssmsgmgn. Give prob of picking 1 g and 1 m.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -241*f**2*s**2 - f**2*s + 4*f**2 - 2*s wrt s.\nAnswer: -482*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-2\/177)\/(s**(2\/11)*s**(-3\/7)))\/(((s\/s**(-4))\/s)**(4\/5))**(-17\/4) assuming s is positive.\nAnswer: s**(5331\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*i - 128423 = -11515*i + 5832 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, n: 4}. What is prob of picking 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a + 39. Let o be -10 - (-972)\/99 - (-62)\/(-22). What is the remainder when 132 is divided by c(o)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p, 3*s + 9 = s + 5*p. What is the second derivative of 0*o + 5*o - 11*o**s + 0*o wrt o?\nAnswer: -66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 27*k**2 + 56*k + 103. What is f(24)?\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -301*z**6\/30 + 5*z**2\/2 - 82*z - 3. What is the first derivative of a(n) wrt n?\nAnswer: -1204*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.06413863 and -11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -1\/3, -4, 4\/7, 0.01?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(6\/(-3))\/2. What is the second derivative of -6*p**y + 28*p - 297*p**4 + 297*p**4 wrt p?\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14304 and 643382.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20102488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1\/6, 0.066, 0.1 in decreasing order.\nAnswer: 0.1, 0.066, -1\/6, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(288)*2 - (sqrt(2) + sqrt(6)\/(-1*sqrt(3)))*-2)**2.\nAnswer: -240*sqrt(2) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 4*o + 8, -290*o + 8 = -d - 286*o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2787.\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.38 take away 60118.11?\nAnswer: -60128.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 7. Let v be u(3). Let p be (v + -2)\/((-10)\/10). Suppose -26*t + 23*t + 15 = p. Solve 4*c - 2*f + 14 = 0, t*c - f = 2*f - 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 255 divided by -17\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2572 - 18*c + 1288 + 1286 + c**2.\nAnswer: c**2 - 18*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2627? (a) -2 (b) 17 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*x**2 + 3*x**3 - 2*x**3 - 1 - 3841*x + 3839*x to w*x + r*x**2 + t + u*x**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, and 1 w when three letters picked without replacement from {w: 1, r: 1, p: 2, t: 2, y: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 708537 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1711 and -0.31?\nAnswer: -530.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (5 + 5) - (-5 + 0 + 29).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39273*r**2*x + 2*r**2 + 4*r*x - 1555556*x + 1 wrt r.\nAnswer: 78546*r*x + 4*r + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (3 + sqrt(243) + (sqrt(243) - (-2 + sqrt(243))) + sqrt(243)))**2 + -5 + (sqrt(243) - sqrt(243)*2).\nAnswer: 81*sqrt(3) + 263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50.4 - -54. Let v = -4.6 + c. Which is smaller: v or -1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhoyoyyoyhyyyyyo. Give prob of sequence oy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 218 + -216. Let c = 71 - 209\/3. Factor c*l**3 - 1\/3*l**4 + 4\/3*l - j*l**2 - 1\/3.\nAnswer: -(l - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/482 or 1?\nAnswer: 5\/482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 - 22. Let s = 194 + q. What are the prime factors of s?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73299 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*w = -5*p - 15, 5*w + 15 = -3*p. Let s be p + 4 - 49 - -4. Let t = -34 - s. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 7 - 17. Suppose -o = 4*o, -g*w - 5*o - 6 = 0. Let p(m) = -m - 2. Determine p(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**5\/15 - 7*b**4\/24 + b**3 - b**2. Let l be k(4). Let r = l + -27. Solve 2*v + r = 5*t - 3*v, 0 = 2*t + 2*v - 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518383039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 10*a**2 - 5*a + 1. What is the units digit of q(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 3*v - 4. Let z be m(3). Suppose 13500009 = z*q - 2*q. Let b be 3\/(9\/q) + -1. Round b to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 3*y + 14. Let r = -20 - -14. What is the tens digit of s(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55160 is divided by 6126?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118 + -108. Let b be (-2 - (-25)\/w)*12. Solve 5*v = 8*v - b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/(-1) + -5 + (5 - 3). Let s = u + -13. Suppose 4*l - 100 = -5*z, -s*l = -0*z - 4*z - 75. What is the highest common divisor of l and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 157*u**5 - 4443*u**4 + 2*u**3 - 181*u**2 + 2*u + 17348 wrt u?\nAnswer: 9420*u**2 - 106632*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 210455\/18 - 11689. What is the common denominator of v and 56\/1485?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/9, -0.2, -0.14?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + 4.99. Let s = 2825.9 + -2826. Let i = 18.4 + -18. Sort t, i, s.\nAnswer: s, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x - 1 = 59*x - t, 3*x + 4*t - 4 = 0. Solve 3*p + y = 3*y + 11, x = 2*p + 4*y - 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2582522804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49187.\nAnswer: 101, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 121, 120?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 637*u - 637*u + 187*u**5 + (-3*u + 3*u + 2*u)*(0*u + 2*u**4 + 0*u).\nAnswer: 191*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 49*c - 60. What is t(-48)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24195*h**2 - 13041*h**2 - 13429*h**2 + (-h - h + 3*h)*(-h - h + 0*h) to the form v*h**2 + i + o*h and give v.\nAnswer: -2277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**6\/10 - 409*i**5\/20 + 27*i**4 + 328*i. Find the third derivative of p(a) wrt a.\nAnswer: 72*a - 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3418 = 62*j - 26*j - 24046. Calculate the least common multiple of j and 9.\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -61*v - 235. What is i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/2)*o)\/(o**(-2\/15)*o*o)*(o**(-3))**(-26) assuming o is positive.\nAnswer: o**(2329\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*r = 25, l - 3*r + 5*r = -5. Let x(u) = -u**2 - 10*u - 8. Calculate x(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -227, -82 in decreasing order.\nAnswer: 2, -82, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9*w + 44. Let d(i) = 2*i - 8. Let a(m) = 11*d(m) + 2*y(m). Let b(n) = -2*n - 20. Give a(b(o)).\nAnswer: -8*o - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 3*r + 1. Let g be q(-2). Let f = 7251 + -7226. Solve 2*y - 4 = g*a, y + 5*a - f = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*269241\nAnswer: 1346205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 65 - 77. Suppose 13 = 2*r - c, -3*c + 4 - 13 = -r. Suppose 4*g = d + r, -g + 3 = -4*d + 3*d. Solve 2*x = -o - g, -s + 13 = 3*x + 5*o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2\/19 (c) 0.2 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 295*z + 14. Let b be w(1). Suppose 0 = 5*l - 5*g - 485, 3*l + 0*g + 3*g - b = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3033 divide 14020774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - 12. Suppose 2*t + k = n, 2*k = -3*t - 4 + 8. Differentiate -2 + 0 + 1 - t*m with respect to m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y - 2*y)*(29 - 19 + 34) - 3*y + 0*y + 2*y.\nAnswer: -89*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 12, s: 6}. Give prob of picking 3 w and 1 s.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4699883 - 0.10264.\nAnswer: 4699882.89736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35176406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = d - 5*o, -5*d - 113 = o + 42. Let f = -9 - d. Solve 0 = 3*u + f - 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, y: 4}. Give prob of sequence yfyf.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5*u = -25, s + 3*s - 5*u = 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.796 - -0.321. Let j = -0.525 + x. Let h = -166 + 667\/4. Which is the nearest to -2\/5? (a) h (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 64*d**2 + 125*d + 19. What is o(62)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 2*l + 2. Let q(v) = 9*v**2 - 54*v - 54. Let d(s) = q(s) + 27*w(s). Let j(i) = -12*i**2. Give d(j(g)).\nAnswer: -2592*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/190 and -13\/152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 8. Let i = 5.99989 - y. Round i to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s = -261 - 56 + 37 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.082 take away 2?\nAnswer: 31.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 4:06 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 45*g + 125. Let y be b(-3). Let w be ((7 - 1)*-2)\/(y + -20). Solve w = -10*l + 44 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(72)*3)\/sqrt(4))\/(-3*sqrt(225) - -3*sqrt(144)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-37)\/(-13) - (-18)\/117. Suppose -v*t + 7*t = 5*u + 73, 0 = u + 5. What is the derivative of 34*a**2 - 34*a**2 + 2*a**4 + a**4 - t wrt a?\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*q = 111*q - 2*g + 9, -3*q + 5*g = 22 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11812914083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262 = -103*u + 56 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 637\/6 in -1, 0, -0.3, -50?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -189, -199, -231, -297, -409, -579, -819?\n\"Answer: -2*p**3 + p**2 + p - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1186\/2731 or -1?\nAnswer: 1186\/2731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 - 177. Let t(n) = 22*n**2. What is t(g(a))?\nAnswer: 352*a**4 + 31152*a**2 + 689238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 - l**2 - 2*l**5 + l**5 + (-l**4 + 0*l**4 + 2*l**4)*(0*l + 2*l - 4*l).\nAnswer: -3*l**5 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(4 - 6 + 4)*(38*z + 44*z - 69*z)*(z**2 - 3*z**2 + z**2).\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*i - 2 - 1, 9 = -3*i. Suppose -l*c - 7*o + 80 = -2*o, -3*o = 4*c - 69. Find the second derivative of -c*d**2 - 22*d + 50*d - 25*d wrt d.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Let o = 1 + m. Let w be 0\/(-36) - 2\/(-9). Which is the nearest to -1? (a) w (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y + 589 = -48*y - 1223 + 552 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 15. Suppose 18*s = 13*s - 85. Let y = s + 6. Is 16 a factor of n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**2))\/l)\/l**(2\/7))**(19\/3) assuming l is positive.\nAnswer: l**(-437\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(12)*3)\/sqrt(4) + (sqrt(3) - (sqrt(54)\/sqrt(2))\/sqrt(9) - (sqrt(9)\/sqrt(3) + sqrt(3) + 3 - sqrt(3))).\nAnswer: -3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/10 - (3 + (-133)\/50). Let u(j) be the first derivative of 0*j + 1\/15*j**6 + r*j**5 + 1 + 0*j**2 - 3\/10*j**4 + 0*j**3. Factor u(f).\nAnswer: 2*f**3*(f - 1)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 divided by 102?\nAnswer: 385\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12764 is divided by 6374.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.039? (a) -4 (b) -4\/9 (c) -0.2 (d) 0.2 (e) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2 - 1458761547.\nAnswer: -1458761550.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 7*b - 2*b**3 + 6 + b**3 + b**3 - 3*b**2. Let u be (-4)\/(-10) - 18\/(-5). Calculate t(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193 divided by -21.\nAnswer: 193\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-2 - 1)*(-2)\/6). Suppose 364 = t + 4*u, -4*t + 1608 = -f*u + 215. Is t a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d83 - 3a?\nAnswer: d49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 2248.\nAnswer: 13488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h**2 - h**3 + 12*h**2 + 4*h**4 - 5*h**4 - 21*h**2 + h + 2 in the form u + k*h**4 + j*h**2 + y*h**3 + r*h and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -8, -0.2, -2, 0.2, -571761, -1\/3?\nAnswer: -571761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h + 12. Let n be w(-3). Let y(d) = d**3 - 4*d**2 + 2*d + 5. Let z be y(4). Suppose n = 3*l + 1 - z. Calculate the remainder when 5 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2 + sqrt(1539))**2 + 1 + (sqrt(1539)*1)**2*4)*-1*-1.\nAnswer: -36*sqrt(19) + 7695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + -5*-3*-2*sqrt(1900))**2 + 5)*-6 + 5.\nAnswer: -3600*sqrt(19) + 10260041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/41 + -2727\/164. Calculate the common denominator of w and -4 + ((-762)\/20)\/(-3 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 8) in base 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3360\/(-26460))\/(((-3)\/4)\/(54\/16))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a1b2 (base 16) in base 7?\nAnswer: 13243614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, u: 1, o: 4, d: 6}. What is prob of sequence dd?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8431 + 0.3431. Let a = 1 + 0. Let b = -1 + a. Sort y, -2, b in increasing order.\nAnswer: -2, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4\/3 (b) -2\/7 (c) 109 (d) 7\/3 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 804.2 - 691. Let n = -113 + t. What is the nearest to 2\/5 in 3, -1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*y - 12 - 6, m + 2*y + 9 = 0. Let p(n) = 15*n**2 - 11*n + 5. Let k(x) = -7*x**2 + 5*x - 3. Let o(h) = m*k(h) - 4*p(h). Is o(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 + 3 = 0. Let i(a) = 3*a - 5. Let o = -5 + 10. Let n be i(o). Solve -p = d*p + n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -214, -483, -858, -1339, -1926?\nAnswer: -2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v + 2*v - 5 - 7*v)*(-2 + 2 + 2*v).\nAnswer: 4*v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 4)*(442 - 133 - 170 - 105 + 116*z) in the form f*z + j and give j.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 6*w + 73. Give x(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 4:22 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 16*t**2 + 5*t + 9. Let u be b(-2). Let n = 25 + u. Let w be 12\/(-28)*(1 + (-2)\/6). Which is greater: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57013147 greater than 57013147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k**2 + 32*k**2 - 51*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 0*h**2 + 0*h**2 - 82 + 7 - 27.\nAnswer: h**2 - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2650, 63254, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((3 + -1)*19)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4*(119\/(-2) + -9) is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*w = 4*g - 103*w - 174888, -43707 = -g + 4*w. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (32 + -28 + -16).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*n**3*q**3 + 97*n**3*q + 67*n**2*q**3 - 4*n - 56*q**3 + 583*q**2 wrt q.\nAnswer: 36*n**3 + 402*n**2 - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960826?\nAnswer: 2, 73, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-30)*(-3696)\/110?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) -5 (c) 401 (d) -1\/2 (e) -0.1011\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3957, 0 in descending order.\nAnswer: 3957, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2460 is divided by 91?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 29 = -13. Let g be 14\/(-16) + (y - 3). Which is the nearest to 2\/11? (a) -1\/3 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/3 + 496*s\/3 + 493 = 0. Calculate s.\nAnswer: -493, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-480)\/24 - -24323) + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131924 - 1117415.078.\nAnswer: -985491.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2*r - 2*r)*(0*r + 0*r + r) + 380*r**2 - 1307*r**2 + 670*r**2.\nAnswer: -255*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l + 19. Let d be j(-8). Let a(m) = -2*m**3 - 7*m**2 - m - 7. What is the units digit of a(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477623350 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 0*p**4 + 0*p**5 + 3 + 1\/2*p**2 - 2\/3*p**6 + 0*p**3 + 0*p. What is the second derivative of f(o) wrt o?\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2 - 7, 3*p - 9 = -f. Suppose 6341*t + 415 = 6258*t. Sort 12, t, p in ascending order.\nAnswer: t, p, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h**(-2\/5)*(h**1)**9)\/((h*h**1)**(2\/81))**(-2\/17) assuming h is positive.\nAnswer: h**(45481\/6885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1302 - -1432. Which is smaller: 132 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1666.3 - 14087.567.\nAnswer: -15753.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38713 greater than -1048\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-9)\/12)\/((-9)\/12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -57. Let c be (-6)\/10*(-1 - (7 - n)). What is the derivative of -16 + 4*j**c - 4 + 6 - 7 wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2832 is divided by 595.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 5, -0.874, 3\/5?\nAnswer: -0.874","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/117560 and 37\/699482?\nAnswer: 13989640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**4\/60 + 14*v**3\/5 - 882*v**2\/5 - 9*v - 9. Find a, given that p(a) = 0.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123 + -127. Is (3 - 2)*4178 + (l - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296828 to the power of 1\/2, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 41154?\nAnswer: 576156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -15 - -1) + 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**21\/x))\/(x*x\/(x\/(((x*x**(2\/29)*x)\/x)\/x*x*x)*x)*x*x)*(x*x*x\/x**8*x)**(-28) assuming x is positive.\nAnswer: x**(2579\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 1450279152.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(-n - 55 + 29 + 29).\nAnswer: 2*n - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-26)\/(-91))\/(7*12\/3234). Solve 5*y + 4*l + 32 = 0, 3*l - 2 = -t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -61\/5, -3, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -384510, -1538065, -3460664, -6152307, -9612994, -13842725, -18841500?\n\"Answer: -384522*f**2 + 11*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11*u**3 + 7*u**2 - 9*u + 7. Let g(r) = -6*r**3 + 4*r**2 - 5*r + 4. Suppose 3*z - 5*q + 10 = 36, -33 = -5*z - 2*q. What is z*g(f) - 4*w(f)?\nAnswer: 2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/17, 13, 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15252\/(-1271)*1\/68?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166468 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: b\"What is the pth term of 56586, 226341, 509272, 905385, 1414686, 2037181, 2772876?\n\"Answer: p**3 + 56582*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/195 or -546?\nAnswer: -546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w. Suppose f + j + 1 = 0, 0*f - 7 = -f + j. Give d(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**7\/840 + x**6\/60 + x**5\/60 - 7*x**4\/24 - 2*x**3\/3 - 12*x + 144. Let i(j) be the third derivative of p(j). Determine i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-2) + 5*2. Let l(k) = 2*k**3 - 11*k**2 - 36*k + 183. Let r be l(6). Solve 3*w + w + o = 2*i, -i = -r*w - 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from wwpppwwbbwwwwwpw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4183, 8361, 12543, 16735, 20943, 25173, 29431?\nAnswer: 33723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69023?\nAnswer: 23, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.723401047 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j + 972 = -30*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -10*x. Suppose -19*z + 67*z = 192. Let g(m) = -11*m - 3*m - m + z*m + 7*m. Give o(g(a)).\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8788536?\nAnswer: 2, 3, 37, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from wddwidwdwwddd?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949958 is divided by 356?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -70*o - 1137. Determine x(-16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/5752 and 115\/10066.\nAnswer: 40264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*((-2)\/2 - (-418)\/(-22)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4525 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 33*t**2 - 255*t + 983. What is a(24)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(-99 - 17*n + 99)*(1080 - 1080 + 106*n).\nAnswer: -5406*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*w - 214545 = -817381. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(81\/(-78)))\/(64\/672)*(-6)\/(-14)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 11*o + 4. Suppose 0 = 2*d, -24 = -2*k - 6*d + 3*d. Let q(t) = -t**2 + 19*t - 7*t - k*t - t**2. What is w(q(x))?\nAnswer: -22*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2 = 5*q, -d - 31 = -3*q - 29 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.57 and 0.64?\nAnswer: -0.3648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + ((-45)\/5)\/(3\/(-5)). Suppose 5*k = -s + 18, 0 = -9*k + g*k - 4*s + 9. Factor 1\/3*u + 0 + 1\/2*u**2 + 1\/6*u**k.\nAnswer: u*(u + 1)*(u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/13)*z**14*z\/(z\/z**(-5))*z*z**(4\/11) assuming z is positive.\nAnswer: z**(1449\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryry when four letters picked without replacement from {y: 7, r: 1, t: 2, l: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13195*m**3*n**4 - 353*m**3*n**2 + 27*m**3*n wrt n.\nAnswer: 316680*m**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44957)\/244)\/(33*(-20)\/240).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00596783 to five decimal places.\nAnswer: -0.00597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18392 + 18240.11. Let k = 151 + s. What is k rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47739 - 139644 = -21*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - 155*w + 1 + 154*w - 4 + 3*w**3 to f + h*w**2 + u*w**3 + t*w and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p. Let z(m) be the second derivative of -7\/3*m**3 + 16*m + 0*m**2 + 0. Give q(z(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86862399 and 18642?\nAnswer: 173724798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 894 - ae2?\nAnswer: -24d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 9*a**2 - 12*a - 11. Let n(r) = 3*r**2 - 6*r - 2. Let w be n(3). Let m be p(w). Solve -12 = x + 5*i, 3*x - m*i = 2*x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 11*p - 12. Determine c(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -84270656 rounded to the nearest one million?\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2708.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*(-5)\/35*-2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -188*x + 203*x - 7440. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzzp when four letters picked without replacement from {p: 7, z: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.49 - 1.61. Let z = -0.02 + 0. Let m = z - l. What is the second smallest value in m, 3, -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693 is divided by 233.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**6\/720 + o**4\/12 - o. Let x(n) be the third derivative of m(n). Let c(r) = 5709 - 3*r**2 - 5709. Calculate x(c(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-25) - (-14688)\/45. Is (w - (1 - 2)) + 0 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 91760\/336 + 20 - (-2)\/(-21)?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**3 - 14*u**2 + 10*u + 24. Let q be g(10). Let f = -13 + q. What are the prime factors of f?\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - (-24 + (22 - 45) - -21).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 2975?\nAnswer: -2980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011011100 + -1100111100?\nAnswer: -1000000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**2 + g - 1. Let s be w(1). Let c = 12.08 + -12. Let i = c - -0.32. What is the second biggest value in i, s, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -15*d + 66. Calculate z(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2 - 2)*(-5 + 5 + 2*g**3) + ((-5 + 2 + 2)*(-2 + 3 + 1) + 2 - 5 + 1)*(4*g**3 - 4*g**3 + g**4).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -724 - -750. Suppose -47*l + o*l = -9660. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*v - 863 = 9, -1 = v. Suppose -5*s = -4*z - 386, 0*s + z - a = -4*s. Let w = 295\/4 - s. What is the nearest to -0.2 in w, -3\/7, 1\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**5 + 2*p**4 - 7*p**3 - 4*p**2 + 5*p + 5. Let i(a) = 4*a**5 - 10*a**4 + 34*a**3 + 20*a**2 - 24*a - 24. Let n(r) = 3*i(r) + 14*m(r). Factor n(x).\nAnswer: -2*(x - 1)**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**4\/3 + 23*w**3\/30 - 3*w**2\/10 + 45*w. Factor k(q).\nAnswer: -(q - 1)*(20*q - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2*f - 208 = -15*f - 35*f, -12 = 14*q - 3*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 13 = 218. What is the highest common factor of t and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = 59*m - 491 - 268 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6732519967?\nAnswer: 6732519967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5969?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**5\/60 - t**3\/2 - 2*t**2. Suppose 5*q + 4*r = 0, -r = q + 4*r. Determine n(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (117\/(-13))\/((-12)\/(-2))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o - 1. Let p be t(1). Suppose -1 - p = -2*l. Suppose 5*y - 363 = 2*j, -j + 143 = l*y - 4*j. What is the remainder when y is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 1. Let f be r\/(-4) - (-27)\/(-12). Let h be (f - -2)\/(3\/1). Solve m - 25 = -5*y - 0*m, 3*y + 5*m - 15 = h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*n = -270 - 1059, 3*p + 5*n - 775 = 0. Let h be -1 - ((-3)\/(-1) + -14). What is the highest common factor of p and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 32. Suppose -3*t + 21 + 21 = -3*n, 6 = -t - 4*n. Suppose -t*z = -6*z. Is c(z) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 41568 - 73629 = 2035*k for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/49 and -6*((-491)\/(-110) + -4) + (-8 - -11).\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7}. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1679 + 5\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 10*o**2 - 7*o - 5. Give l(11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1*-2)\/(-2). Let n(a) = a**3 - 8*a**2 + 22*a - 57. Let r be n(7). Let h be ((-168)\/r)\/(14\/(-4)). Solve 0 = -t, -t - h = p + s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/200 and 139\/120.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 44*j**2 + 80*j - 166. Let q be s(-42). Solve -4*t + 5*f = -q, 4*t - 3*f + 13 - 11 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = 20. Is (51\/(-12))\/((-1)\/a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -92 - -5?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, t: 2, p: 2, z: 4, e: 1, r: 2}. What is prob of sequence ctz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.17 - 0.24. Let t = -4.43 + 5. Let b = u + t. Put -0.4, b, -5 in decreasing order.\nAnswer: b, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 1\/48 (b) -8 (c) -4\/5 (d) -0.01 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 524881*j. Let b(x) = -425*x. Give 4939*b(m) + 4*t(m).\nAnswer: 449*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**4))\/(k*k**(1\/9)))**3\/((k\/((k\/(k**0\/k)*k)\/k))**30)**(-30) assuming k is positive.\nAnswer: k**(-2674\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510 and 38847870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {v: 2, p: 4, u: 1, i: 1, t: 2, h: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821 = -7*o - 842 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 6. Let d be l(-7). Suppose -10*v = -d*v. Put 0.7, v, -2\/13, -3 in decreasing order.\nAnswer: 0.7, v, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30443214.2 to the nearest ten thousand.\nAnswer: -30440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 4*z - f - 3, 0 = -z + 4*f - 7. Let u(l) = l**2 + 7*l + 9. What is the tens digit of u(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t**2 + 9*t + 2. Let z(v) = 8*v**2 - 10*v - 5. Let n(d) = 4*w(d) + 3*z(d). What is n(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/((-2)\/20). Let a be 12*1*2\/4. Let 3*q + s*q**2 + 3 - 3*q**2 + a*q - 5*q**4 - q - 8*q**3 = 0. Calculate q.\nAnswer: -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/24*-2*(3 + -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396631815.\nAnswer: 3, 5, 26442121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + j**2 - j - 5. Let c be q(0). Let k = -221 + 221. Sort c, k, 3 in decreasing order.\nAnswer: 3, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111881796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -14, 6, 0.3, -5, -3 in decreasing order.\nAnswer: 6, 0.3, -0.3, -3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 3*v - 2*o, 5*v - 5*o = 135 + 125. Calculate the remainder when v is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -115, 4 in decreasing order.\nAnswer: 5, 4, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4026189 divided by -3?\nAnswer: -1342063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*k**3*r + 22*k**3*x + 5*k**2*r*x**3 + 6*x**3 wrt r.\nAnswer: -20*k**3 + 5*k**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3 - 1320*y**2 + 40275*y - 303750 = 0?\nAnswer: -1350, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**5 + 100*s**4 + 692*s**3 + 1436*s**2 + 840*s = 0?\nAnswer: -15, -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*x + 10 = 0, -k - 5*x + 6 = -4*x. Differentiate h**3 + k - h**4 + 2 - h**3 wrt h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-276)\/9*(-3399)\/(-1133)*2\/(-2).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2537.\nAnswer: 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - q + 27, -29 = -5*a - 19*q + 17*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*u + 88 = -47*u. Let v = -8 + 3. Let n = u + v. Solve -x + 2*y + y - 8 = 0, 0 = 3*x + y - n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10029 is divided by 754?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 306*d**2*o**5 - 5*d**2*o**2 - d**2*o + 2*d**2 - 2*d*o**6 + 19*o**2 wrt o?\nAnswer: 18360*d**2*o**2 - 240*d*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/481138 + 213350335\/481138. Let h = n - 444. Which is the smallest value? (a) 2 (b) 0.5 (c) h (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3164\/411 + -87\/137. Let p = 2.97 - -0.03. Which is the nearest to k? (a) -2 (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - 49. Solve -k*u + 11 + 14 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1556)\/(-14) - (-8 - -13). Let y = f - 7157\/70. Let o = -70271\/14 - -5025. Calculate the common denominator of o and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 10885?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 35, 79, 141, 227, 343, 495, 689?\n\"Answer: g**3 + 25*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-2))\/m)**(3\/7)*(((m*m**(-1)*m)\/m)\/m)\/(m**(-4)\/m)*m**(3\/2)\/m*m**(1\/2)*(m**(1\/2))**(2\/33) assuming m is positive.\nAnswer: m**(1459\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 + k - 1. Let l = -124 - -128. Suppose -x + m - l = -1, 0 = -x - 3*m - 3. Calculate g(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 9 - 182\/14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 plus 183?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 7*i - 28*i. Suppose 2*q + 36 = 5*d + 3*q, 4*q = i. Solve d*w = 11*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + (sqrt(245) - (2 + sqrt(245)))*2)**2.\nAnswer: -56*sqrt(5) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092.3791 rounded to the nearest 10?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 + 45?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*279\/620\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 + 77 = 43*g + 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/(-16))\/(2\/4). Let a(b) = 18*b - 4. What are the prime factors of a(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (2 + sqrt(500))**2 - sqrt(5)) + (sqrt(5) - -3*(sqrt(20))**2) + 1 - (sqrt(875) + sqrt(875)*-1)\/(sqrt(112) - 3*sqrt(112)).\nAnswer: -443 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*n = 4*x - 14, 0 = -n. Let v = -4580 + 4608. What is the greatest common factor of v and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-14)*(-7)\/2. Let d(s) = s**3 + 31*s**2 - 65*s + 30. Let q be d(-33). What is the smallest value in 8, 0.4, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -q, 315 - 285 = 5*t - 5*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -44 + 2 + 123 + -15\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-12\/11)\/(u**(-24)*u))\/(u**(2\/9)\/u**(-17)))**(-50) assuming u is positive.\nAnswer: u**(-23200\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -7*l**2\/2 + 17. Let n(h) = h. Let j(v) = 2*g(v) + 22*n(v). Let y(o) be the second derivative of -o**3\/3 + 2*o. Give y(j(b)).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1038002 or -1037929?\nAnswer: -1038002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6061 = 93*p + 247*p + 1301 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -991*l - 3954. What is z(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4 + 3)*(-v + 4*v - 2*v) - v - 2*v - 2*v + (-v + 2*v + 0*v)*(-2 - 3 + 7) - 6*v + 2*v + 0*v as h*v + o and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 852 and 33.\nAnswer: 9372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from foffkofkkkfkf. Give prob of sequence kkoo.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 43?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18 + 0.185. Let i = -0.095 - s. Let h = 24 + -28. Which is the nearest to i? (a) -2\/7 (b) h (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2820244040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3640*g*p**2 + g + 5875*p**2 with respect to g.\nAnswer: -3640*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 21 - 39 = 0. Suppose -3*d - 7 + j = 5*k, -5*k + d + 19 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*x**3 + 4 + (4*x - 2*x - x)*(-x**2 - 3*x**2 + 3*x**2) - x**3 - 3*x**3 - x**3 + (-4 + 4 + x)*(-2*x**2 + 2*x**2 + 2*x**2).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(11\/4))\/x**9)**(-27\/5)*(x**(-3\/2)*x**(1\/9))\/(x**(-5)\/(((x\/((x\/(x\/x**(1\/3)*x))\/x))\/x)\/x)) assuming x is positive.\nAnswer: x**(11219\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 202?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*g - 4. Let v be g\/(-2)*-2*13. Let y = v - -22. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 194?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(23\/2)*u*u*u**(-3\/31) assuming u is positive.\nAnswer: u**(831\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6.6, -2\/31 in increasing order.\nAnswer: -2\/31, 1, 6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-2\/7)*j)*j)\/j)**15\/(j**(-6)*j**(1\/4))*(j**(-1\/2))**(-30)\/(j**(-1)\/j)**15 assuming j is positive.\nAnswer: j**(1541\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9213 - -9213.0005305. Round r to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 10, e: 2}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*x + 7 = -p - 290*x, 5*x = 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4807 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 a factor of 2726784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y**(1\/15)*y)\/y*y*(y**(4\/5)*y)\/y)**(-4\/25) assuming y is positive.\nAnswer: y**(-292\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h + 1 = 27*h. Let o = h - -5. Suppose 0 = 4*d - o*g - 4524, -1147 = -d + 3*g - 20. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 40 = -5*n, 2*n + 13 = -144*j + 145*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183510, -183290, -183070, -182850?\nAnswer: -182630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1303113033 (base 4) to base 11\nAnswer: -2a3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + 21228*h**3 - 3*h + 8*h**2 + 3*h.\nAnswer: 21228*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/25*350\/(-840)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -2)\/((-2)\/10). Put w, 5, -1 in descending order.\nAnswer: 5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*r = -11*r - 97*r + 3280 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*o - 58*o - 21. Let d be 8 + (16*o)\/8. Factor 0*s + 0*s**d + 0*s**3 + 3\/2*s**4 + 0.\nAnswer: 3*s**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 8*j**2 + 6*j + 5. Let q be t(-7). Suppose q = 3*f + f. Suppose -3*g = -4*g - f*z - 7, 2*z + 18 = 2*g. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94780?\nAnswer: 2, 5, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/14 + (-2)\/(-7). Let h = 569 + -567. Differentiate q + 8*p**2 - 6*p**2 + 1 + h with respect to p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34844 and 5704.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, m: 5}. Give prob of picking 4 v.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 3*d - 18, -5*x - 101*d = -105*d + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:22 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 0*w + 2*w)*(2 + 0 - 1) + (-2 - w + 2)*(10 + 3 + 15) + w - 2*w + 3*w + 0 + 0 + w to r*w + d and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -223.03 - -223. Which is the third biggest value? (a) 2 (b) o (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from aaawawwywyww?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/17)*s*s**(-4))**(-2\/43)*(s**(5\/2)*s*s**(-6)*s)\/(s*s\/s**(2\/3))**(-5) assuming s is positive.\nAnswer: s**(23297\/4386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20863665 or -20863661?\nAnswer: -20863661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 p when four letters picked without replacement from {p: 13, z: 3}?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -48. Let r(k) = -k**2 - 7*k + 6. Let o be r(-7). Suppose o*m - m = 70. Calculate the remainder when j is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -566*l**2*q*s**3 - 47474*l**2*s**3 - 64*l**2*s + 2*l*q - 369934*q*s**2 wrt s.\nAnswer: -3396*l**2*q - 284844*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 - -106. What is the lowest common multiple of 40 and (2 - -57)*f - -1?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10041*q - 10306*q + 25440 for q.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.24111 micrometers?\nAnswer: 0.000824111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z - 15. Let v be g(-5). Suppose p + 2*p = c + 2699998, v*c = -p + 900010. Round p to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 16, t: 2}. Give prob of sequence cc.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12962 - 12964. Which is the third smallest value? (a) -6\/5 (b) i (c) -18.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 34. Let l be ((-186)\/a + -8)*(-8)\/(-3). Let t be ((-48)\/l)\/(8\/(-20)). Solve -2*n = -t*n - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187 and 638.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39251)\/(-17) - 4\/102*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33715793?\nAnswer: 33715793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 101, 21, -74, 2, -5, -2.\nAnswer: -74, -5, -2, 2, 14, 21, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -17.6. What is the third smallest value in -2, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 103020 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*i - 14. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14.26, 2\/9, 2\/261, 16 in increasing order.\nAnswer: -3, 2\/261, 2\/9, 14.26, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**2 + 77602056*c - 77602059 = 0.\nAnswer: -25867353, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1)\/(-3 - -2). Suppose 3*r - o - 120 = n, -200 = -3*r - 2*r + o. Suppose q + r = 3*q. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10*x + 6*x + 24 = 0, -5*x - 60 = 5*z. Which is smaller: -21 or z?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27, -19, -243, -747, -1633, -3003, -4959, -7603?\n\"Answer: -17*u**3 + 13*u**2 + 34*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 70 - 80 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 12:43 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - 21. Let l = c - -109. Let z(f) = f**3 - 5*f**2 + 3*f + 3. Calculate the remainder when l is divided by z(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8*m - 13*m**3 - 9*m + 17*m.\nAnswer: -13*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) 6\/157 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, q: 3, z: 2, v: 2}. Give prob of sequence qvv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2. Let k be 10\/9*(-315)\/(-1680). Let n(r) be the third derivative of 2*r**2 + 0*r**3 + 0 + 0*r - k*r**4. Give n(i(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9684262 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188821*w**6 - 35*w**3 + 5023*w**2 + 2717*w + 2 wrt w?\nAnswer: 22658520*w**3 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 85*x + 565. Determine w(-91).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**3\/6 + u. Suppose -10 = -5*a + 2*s, 0 = a - 2*s - 2. Let g(p) = -149*p**a + p + 139*p**2 - p. Give f(g(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(99) + -5)*4 - (sqrt(33)*2 - sqrt(33))\/sqrt(3)*-5) + -2)**2.\nAnswer: -4488*sqrt(11) + 21978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 7. Let y(c) be the third derivative of -c**4\/8 - 3*c**3\/2 + 7*c**2. Let f be y(-5). Calculate v(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j - 12. Let m be a(-13). Let c be (-1 - 5)\/((-2)\/1). Suppose 0 = c*s - 4*s + m. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 46 = -3*r, 71*v + 5*r = 70*v + 52. Put -2, 2, v, -5 in descending order.\nAnswer: v, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 3358 + 2444. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r + 2*r - 42. Let d(p) be the first derivative of 2\/5*p - 3\/5*p**2 + 1 - 1\/10*p**4 + 2\/5*p**r. Factor d(f).\nAnswer: -2*(f - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/486*12 + (-410)\/(-315).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37746503, 37746500, 37746495, 37746488?\n\"Answer: -u**2 + 37746504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 10. Suppose -z + 11 = f, -z - 3*f = -24 + 7. Suppose v*b - 15*b - z = 0. Sort b, -3, 5, -1 in ascending order.\nAnswer: b, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409589304.\nAnswer: 2, 769, 229127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*m + 2*n, m + 2*n - 15 + 6 = 0. Let u be (3\/m)\/(50\/1125). Factor -3\/2*s**2 + 6*s - u.\nAnswer: -3*(s - 3)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - q + 5*q - 4018 = 0, -5*s = q - 10000. Suppose -53175 = 2*v - 5*b, -77816 = 3*v + 3*b + s. Round v to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -128, -218, -336, -482, -656?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 20.6 (b) 1\/4 (c) -2\/5 (d) 440\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1389\/571 or 2?\nAnswer: 1389\/571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8286, -8041, -7796, -7551?\n\"Answer: 245*y - 8531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5680626240 to the power of 1\/5, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31, 204, 379, 556, 735, 916?\n\"Answer: i**2 + 170*i - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7))**(-2\/45)\/(g**(-2\/3))**5 assuming g is positive.\nAnswer: g**(1054\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)\/(u*u**(-8)))\/(((u*u**(1\/6)\/u)\/u)\/u**7))**(3\/22) assuming u is positive.\nAnswer: u**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -248518540 to the nearest 1000000.\nAnswer: -249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220134?\nAnswer: 2, 3, 19, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-84)\/(-576)*8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 153918605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3392967, -3392962, -3392955, -3392946, -3392935, -3392922, -3392907?\nAnswer: -3392890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -10.6. Let n = 3.4 - f. Let o = -0.0241 + -0.0759. Which is the fourth smallest value? (a) o (b) n (c) 4 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3082926000 to the nearest one million.\nAnswer: 3083000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 493916006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 530 - 503. Solve 0 = 5*g - 22 + m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -10. Let s = y + 27. Suppose 232 = 4*t - c - s*c, 2*c = 4*t - 236. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.07 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32880*f**4 + 60921.\nAnswer: -131520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23052 is divided by 202.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174289*t**5 - 25838*t?\nAnswer: -3485780*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 1160797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 5628\nAnswer: 22512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/5850 and 113\/66677325?\nAnswer: 400063950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 26 + 24 - 17*b + (-4 + 0 + 5)*(-b - 2*b - b) in the form j + c*b and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308390976 and 992?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 8, -6, -34, -82, -156, -262?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4117 + 8278 + 13*z + 8*z - 4000 to the form p*z + m and give m.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.2 - 18. Which is bigger: p or 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.268 to zero decimal places.\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 824772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -514.03 + 514. What is the third biggest value in -5, -2, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13217.\nAnswer: 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12108*i - 190896 = 63372 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 278*l*v**3 + 2*l*v - 1949*l + 584295*v**3 - 9957 wrt v?\nAnswer: 1668*l*v + 3505770*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:05 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*12\/(-10)*(3\/(-21))\/(16\/(-168))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 16. Solve x*i + 0*i - 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(14\/3)*g))\/g*g*g**(8\/3)*(((g\/(g*(g**(1\/4)\/g)\/g))\/g)\/g)**(26\/9) assuming g is positive.\nAnswer: g**(-49\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.6971 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77.9 - -65. Let o = n + 13. What is the closest to 0.1 in -5, 2\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437216809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 813, -5, -0.05, 0, -148 in ascending order.\nAnswer: -148, -5, -0.05, 0, 813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175*c**3*h**3 + 2*c**3*h**2 - 238*c + 3*h**3 wrt c.\nAnswer: 1050*c*h**3 + 12*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1100201031?\nAnswer: 1100201030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-64)*((-39)\/(-130))\/(123\/16)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -860 - -879.45. Round t to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1144080 and 3718260.\nAnswer: 14873040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 2:11 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 452*r + 8955. Give y(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(-4*sqrt(405)*-2 + 2 - (4 + (sqrt(405) - (-3 + sqrt(405) + sqrt(405)))**2 + 3)).\nAnswer: -2517 + 756*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 4*f - 1. Let g be p(-5). Let b(o) = 5*o**2 - o + 1. Let t be b(1). Suppose 3*u - t*u = -10. Solve 5*n - u = -4*r, -5 = -3*r - 0*n - g*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120654 and 2811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 + 6 - 2*k + 0*k + 4 in the form c + r*k**2 + m*k and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*g - 939*g - 278*g.\nAnswer: -909*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.087\nAnswer: 0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 1627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -334*g + 13. Suppose 4 = 4*d - 5*c, 29 + 3 = -5*d - 3*c. Is v(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.3? (a) 1\/4 (b) 4 (c) -1\/2 (d) 5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**4\/48 - 17*x**3\/24 - 9*x**2\/4 - 128*x. Find h, given that o(h) = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40077.0452 rounded to the nearest 1000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1327000 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*v - 33*v - 35*v)*(-2*v + 3*v - 3*v) to s*v + b*v**2 + g and give b.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5 + -1)\/(2145\/(-117) - -18).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)\/(c*c*(c\/(c\/(c*(c**(-1)\/c)\/c)))\/c*c*c*c))\/(c**(-2)*c)**(-6) assuming c is positive.\nAnswer: c**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3393 - 3378 = 0. Solve 3*h - q - 15 = 0, 5*q = 2*h + x*h - 35 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/5))**(-31))**(-3\/4) assuming b is positive.\nAnswer: b**(-93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nunnznununururznnzn. What is prob of picking 1 n and 2 u?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/9, 0.15, -8, -3, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8912340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 190 = d - 2*o, 0 = -2*d - 4*o + 104. Suppose -4*v + d = 2*k, 4*k - 83 = -4*v - 31. Let m = -7 + v. What is the closest to 0 in m, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d. Let y(b) be the third derivative of 107*b**7\/840 - b**4\/6 - 2*b**2 - 18. Let t(v) be the second derivative of y(v). Calculate k(t(f)).\nAnswer: 321*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5800\/(-175))\/29)\/(-2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a49a (base 12) in base 6?\nAnswer: 215114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*z - 6 = 0, -w + 6*z - 1 + 13 = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 2845 = -21941. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a micrometer in nanometers?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 10*y**2 + y + 9. Let d be -15*(5 + 532\/(-105))*-5. Determine v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g + 6. Calculate the smallest common multiple of 4 and z(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s = -17*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 9:08 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 3*l + 3*l. Let j(p) = p**2. Let w(u) = 6*u**2. Let x(s) = -34*j(s) + 6*w(s). Give x(y(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**4*z + 4336166*k**2*z**3 + 22114169*z**3 wrt k.\nAnswer: -4*k**3*z + 8672332*k*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 8 = -4*w, 6*w + 10782*k - 10778*k - 18 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 8\/5, 1, -10\/1853, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**12*g)\/(g\/(g**17\/g))*(g*g\/g**(-20)*g)\/(g*g\/g**(-6\/7)*g*g*g) assuming g is positive.\nAnswer: g**(316\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*p - 103*p + 439*p.\nAnswer: 587*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:55 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4914307267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 4. Let d(k) = 2*k + 3. Let y(h) = -4*d(h) - 3*m(h). Let n(q) = -5 + 2*q + 5. What is y(n(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 170 + 3?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -13 + 14 + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i**2 - 6*i - 18. Let g(z) = -2*z**2 - 2*z - 6. Give -10*g(u) + 3*j(u).\nAnswer: 2*u**2 + 2*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15.3 + -8\nAnswer: 7.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1148.12 and -5.\nAnswer: 1143.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3552520 is divided by 728.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.016 - 3.016. Sort 4, 4\/9, 0.3, z, -5\/4 in increasing order.\nAnswer: -5\/4, 0.3, 4\/9, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5094, 10194, 15294, 20394, 25494, 30594?\n\"Answer: 5100*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 48 = -a. Let s(u) = u**3 - 8*u**2 + 2*u - 10. What is s(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 150, 332, 586, 912, 1310?\nAnswer: 1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 + 4*n - 282. Let y(v) = -7*v**2 + 6*v - 281. Calculate -3*y(l) + 4*z(l).\nAnswer: -3*l**2 - 2*l - 285","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, r: 2, u: 3, w: 1, f: 4, m: 3}. What is prob of picking 1 f and 2 r?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 1\/21*r**4 + 0*r - 2\/105*r**5 - 2\/63*r**3 + 0*r**2 - 3. Factor j(s).\nAnswer: -2*s**2*(s - 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2918, -2922, -2926, -2930, -2934?\nAnswer: -2938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3624.0119 - 3622. What is t rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 137 (b) -10 (c) -7\/3 (d) 0 (e) -2\/5 (f) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 6*y - 2 - 2*y)*(-2793*y + 609 + 24*y - 609) to t*y**2 + n*y + i and give n.\nAnswer: 5538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3390079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2584696?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 26*d**3 + 3*d**2 - 2. Let b(h) = 27*h**3 + 4*h**2 - 2. Give -3*b(m) + 4*l(m).\nAnswer: 23*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j, -2 - 13 = -5*b + 5*j. Solve 4 = -2*o + o + d, 0 = -5*o + b*d - 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211\/633*(1*-12)\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1872758, 1872756, 1872754, 1872752, 1872750?\n\"Answer: -2*m + 1872760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93756 = 8*z + 29732. Find the second derivative of -65*r + 8072*r**2 - z*r**2 - 27*r wrt r.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 24 = 14. Let q(c) = 24*c - 24*c - 2*c**k. Let f(g) = g**2. Determine f(q(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -64782 divided by -1062\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzzr when four letters picked without replacement from {d: 1, r: 1, z: 3, k: 2, m: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-6 - -11) - 0 - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w + 124. What is t(0)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from gagddmvgdvgdgv?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6 + 4*u + 0*u + 10*u**2 + u - 2. Is b(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -133*g - 3750. Determine b(-28).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 36.96, -5, 0, -1\/2 in decreasing order.\nAnswer: 36.96, 2, 0, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.54 and -3746116.\nAnswer: -3746116.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 40. Calculate the remainder when 406 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -0.4, -42\/5 in increasing order.\nAnswer: -42\/5, -0.4, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 + -86. Let w = 88 + h. Let y be (w\/(-102))\/((-8)\/6 + 1). What is the third biggest value in y, -2, 8\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -51*j + 3*j**2 - 51*j + 95*j - 6. What is the lowest common multiple of b(-1) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 16 + 5*w**2)*(-3 + 2033*w + 4 - 1974*w) in the form v*w**3 + x*w**2 + c + y*w and give v.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 14319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/3 - r**2\/2 + 5*r. Let p(a) be the second derivative of -a**3\/6 + a**2\/2 - 4*a. Calculate -2*l(n) - 3*p(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.134\nAnswer: -0.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 400 (c) -8\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 7*x**2 + x - 3. Let s be l(7). List the prime factors of (s\/(-5))\/((-6)\/45).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*u - 141*u - 44*u.\nAnswer: -288*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -16*d**3 + 12*d**2 + 35*d**5 - 179*d - 12*d**4 + 101*d - 37*d**5 + 96*d = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -6 + 3)*(-10)\/(-2). Suppose 5*q - 2*o = -3, q = -0*q + 3*o + 2. Let v be q\/21 - (-2)\/6. What is the third biggest value in -3, v, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 23864 + 9063. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -28. Let w be (-1 - 0) + c\/(-4). Suppose w*t + 7 = -9. Sort t, 2\/3, 5 in increasing order.\nAnswer: t, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4064 + -2312. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464 - 458 - 1092*n - 466 + 1388.\nAnswer: -1092*n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 29640711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -185*g**5\/3 - 275*g**4\/24 + 275*g**3\/6 - 83*g**2. Let o(j) = 27*j**2 + 2*j - 2. What is 275*o(u) + 2*z(u)?\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*g - 10 - 4, -3*g = b + 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 99386, 198809, 298232?\n\"Answer: 99423*f - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**7\/105 - 6*v - 1. Let f(l) be the first derivative of k(l). Factor f(m).\nAnswer: 2*m**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132696 - 132695. Let s be 2\/7 + (-26)\/(-7). Suppose s*u + 40 = 2*u. Which is the biggest value? (a) -4 (b) g (c) -1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 - -1. Let s = -1.1 - -1. Let v = 2.0731 - -0.9269. What is the closest to s in -5, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23673059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 2*n + 1. Let h be f(3). Let o = 40 - 27. What is the greatest common factor of h and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*w + 25, 5*q + 0*q = 4*w + 21. Suppose 0*u - 12\/5*u**4 + 3\/5*u**q + 0 - 6\/5*u**2 + 3*u**3 = 0. What is u?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {f: 2, g: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v = -156 + 704 + 152 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**3 + 19652*i**2 + 374520*i + 1538784 = 0.\nAnswer: -13, -6, 4932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from cudhi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29998*s**5 - 6*s**4 - 36*s + 3210.\nAnswer: 599960*s**3 - 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16413 = 3*m, -10*c + 12*c - 7*m = 10960. Calculate the remainder when c is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 30.255ml?\nAnswer: 0.030255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -6. Suppose -11 = 2*o + 1. Let r be (12\/(-18))\/(o\/45). Put r, 2\/3, b in increasing order.\nAnswer: b, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4608 and 1641600?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = -669*q + 652*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(sqrt(832)*-1 + sqrt(6292) + (sqrt(6292) - sqrt(6292)*1))\/((sqrt(96) - (sqrt(96) - ((sqrt(96) - (sqrt(96) + sqrt(96)*2)) + sqrt(96))))\/sqrt(6)).\nAnswer: 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2946104 and 616.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4783687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/88 - (-3)\/(-12). Suppose 2*d - 5*l + 14 = 0, -3*d - 2*l + 19 - 2 = 0. Let h = -3 + d. Which is greater: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(161\/28 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 69*d**3 - 67*d**3 - 3*d**2 + 135*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 39*m - 29*m. Let g(u) be the third derivative of -35\/24*u**4 + 0 + 0*u - 5\/6*u**3 + 2\/3*u**m - 8*u**2. Factor g(r).\nAnswer: 5*(r - 1)*(8*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*t + 24 = 0, 4*l + 15 = -2*t - 5. Let m = -227 - -208. Put l, 5, m in decreasing order.\nAnswer: 5, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-51)\/15 - -1)\/(-4*(-21)\/(-54880)) and 14.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 5\/4 (c) -3\/5 (d) 2 (e) -2\/983\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1bc - -2a00?\nAnswer: 2bbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r**3 + 53*r + 16*r + 17*r**3 + 17*r + 21*r in the form b*r**2 + c + v*r + a*r**3 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (41 - 3) - (5 - -1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -539.69 < -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1546*t - 1551*t + 4*l = -30, 0 = 3*t + 4*l - 18 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-3 - -3) - -4) + -5 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 88\/3*h**3 + 0*h + 0*h**5 + 5 + 0*h**4 + 0*h**2 - 59\/3*h**6. What is the third derivative of b(m) wrt m?\nAnswer: -7080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11 + 7*r**2 - 4*r**2 + r**3 + 10*r + 4*r**2. Is h(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2723483 is divided by 385?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31535744 divided by 128?\nAnswer: 246373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from iieaaixxeexmxixaexaa.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 6 = 2*q, -5*q + 0*w + 15 = -2*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 6*o**2 + 8*o + 8. Let z(g) = g**2 + 2*g - 3. Let v be z(-4). Suppose 0 = v*b - 32 - 3. List the prime factors of r(b).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*p + 15 = -9, p = 3*m + 12. What is the units digit of (2 + m)*-5*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -6.91 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 44839 = 3*o, -5*x + 4*o - 300466 + 76176 = 0. What is x rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658705 is divided by 1984?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 396 - 356. Suppose -j = 44*r - 54*r. Solve 15 = -i + r*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4f4b (base 16) to base 8.\nAnswer: 47513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 - 10 + 2*d**5 + 10 + (6*d**4 - 2*d**4 - 3*d**4)*(-3*d + 4*d - 10*d).\nAnswer: -7*d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 6. Let i = 4 + 1. What is the second biggest value in i, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 6:05 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -1314240113?\nAnswer: 1314240111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34469*c*h**5 - 9*c*h**4 - 2*c*h**2 + 47*c*h - 18*h**2 + 2*h + 75 wrt h.\nAnswer: 2068140*c*h**2 - 216*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*v - 140 + 68 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/99 + (-428)\/18. Let b = 20 + g. Put 9, 4, b in descending order.\nAnswer: 9, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 15191?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -15*b + 2016. Calculate the remainder when b is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:27 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/2711 and 81\/16.\nAnswer: 43376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o. Let k(t) = 2*t**2 + 3*t + 381. Give p(k(q)).\nAnswer: -4*q**2 - 6*q - 762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - (-8)\/14)\/(2\/(-42)) is divided by 9 - 0 - (1 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101122010002 (base 3) to base 16.\nAnswer: 1b856d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 1 + 1)*(8*k + 0*k + 7*k) + (-3 + 3 - 2*k)*(-5*k + 4*k + 0*k) - 2*k**2 + 2*k**2 + k**2 - k**2 + k - k - 3*k**2 + k**2 + k**2.\nAnswer: 31*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8913688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 8*z = 7*z - 8, 12 = 3*p + 5*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/25 and 101\/972450?\nAnswer: 972450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 70962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 121044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*b + 2 = -2*z, -4*z + 3*b - 22 = 0. Let t = z + 4. Suppose t = -x + 4*x - 27. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5501803 and 3113.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 78, 247, 578, 1125, 1942, 3083, 4602?\nAnswer: 6553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g - 4*v + 52, 0 = -5*g + v + 75. Suppose g = -4*p - 0, -2*p = 2*b. Solve -6*j + b*j = -2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 18 = -3*m, m - 4*q + 0 = 6. Let y(z) = 518*z + 17. Let r be y(m). What is the tens digit of 6\/(-21) - r\/(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 220 and -4127505.\nAnswer: -4127285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/617004 and -83\/16443?\nAnswer: 12957084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -845*m**4 - 20930*m**3 - 177185*m**2 - 589260*m - 669780.\nAnswer: -5*(m + 3)**2*(13*m + 122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1971 + -1896. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/7, -2\/9, 2\/11, -20 in increasing order.\nAnswer: -20, -2\/9, 2\/11, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1220*s**3 + 12*s**2 + 44*s + 17. Is n(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/46 - 17\/92. What is the nearest to -1 in 2\/9, -10, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -1\/45*m**6 + 0*m**4 + 1\/30*m**5 + 2*m + 0*m**3 + 0 + 0*m**2. Factor x(y).\nAnswer: -2*y**3*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/11820 and -95\/9456.\nAnswer: 47280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -439 + 344. Which is the third smallest value? (a) 1\/4 (b) d (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6 = a. Suppose 2*y + 22 = 3*j + j, 3*j - 21 = a*y. Let z(f) = -48*f + 17. Is z(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - p**2 - 3*p**2 - 2*p**2 + 2*p**2 - p**2 + (-1 - p**2 + 1)*(0 + 1 - 3) + 1 + 2*p**2 - 1 + (-2*p + 2*p - 2*p**2)*(0 - 3 + 2).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v - 2*v)*(15*v + 8*v + 47*v - 10*v).\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154302159?\nAnswer: 3, 11, 31, 150833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-470)\/(-72)*168\/560 and 49\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*f + 164*f + 163*f - 179*f + 123*f.\nAnswer: 384*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = 5*h - 13*h. Suppose p - h = -15. Solve -2*c - p = -0*c - 5*t, 4*c = 3*t - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -17. Let l be 432\/n + (-6)\/10. Find the third derivative of 7*v**4 + 11*v**4 + v**4 - l*v**2 wrt v.\nAnswer: 456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -640302.674 and 0.099654.\nAnswer: -640302.574346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 55*z**3 - z**2 + 2*z - 1. Let m be r(1). Find y, given that -4*y**3 + m*y - 13*y**2 + 28*y**2 - 5*y**4 + 30 - 11*y**3 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/16 (b) 1 (c) -7 (d) 2\/5 (e) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-1 - 1) - -4 - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (44\/(-1224))\/(-11)*(-628)\/8 and 49\/18.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-65)\/(-9) - (-486)\/(-2187). Let c = -13 + 11.8. Let x = c - -6.2. Put k, -0.2, x in decreasing order.\nAnswer: k, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**3 + 26*z**2 - 10*z + 11. Let v be l(-9). Suppose 6*t - 82 = v. Put t, 5, 1, 0 in descending order.\nAnswer: t, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z**3 + 13237240385124*z - 13237240385124*z.\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 - -3)*(5 + -3))\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p + 3. Let q(k) = -k - 2. Let r be q(-8). Let v(u) = 4*u + 5. Let o(t) = r*v(t) - 11*m(t). Differentiate o(j) with respect to j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100*g**3 - 16*g**2 + 1100*g + 16 = 0 for g.\nAnswer: -1, -4\/275, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20681108.\nAnswer: 2, 7, 43, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 9. Let r(g) = -4*g + 9. Let k(z) = 5*r(z) - 6*t(z). Is k(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 2*y - 2. Let u(g) = -g**2 - 8*g - 4. Let q(d) = -d**3 + d**2 - 8. Let f be q(0). Let n be u(f). Determine x(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3766442 times -35\nAnswer: -131825470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + -1*sqrt(228)*2)\/(sqrt(108)*2).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 221580 divided by 3\nAnswer: 73860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -147*y + 416. Calculate f(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 5*i**2 - 3*i - 13. Let n be d(6). Find the third derivative of -8*k**n + k**2 + k**2 + 11*k**5 wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 2*o**2 - o + 29. Suppose -2*t - 4*c - 8 = 3*t, -4*t - 4*c - 8 = 0. What is the remainder when 113 is divided by z(t)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 + -1) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 5:24 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 381 - 80. List the prime factors of g.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o - 24 = 0. Suppose -161*a = -175*a - 560. Calculate the remainder when 40 is divided by (21\/o)\/(5\/a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95 (base 12) to base 10.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*g - 3)*(4*g**2 - 3*g**2 - 2*g**2) + 0*g + 0*g - g**3 + 16*g**3 + 9*g**3 - 5*g**3 - 3*g**3 + 0*g**3 + g**3 + 4*g**3 - 2*g**2 - 5*g**3 + 0*g - g.\nAnswer: 14*g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -c381 (base 13) in base 10?\nAnswer: -26976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*w = -1, -4*f - 2*w = -5*w - 1. Let i be (-2)\/(f - -1)*-17. Solve -5*r + 10 = p, -4*p - r + 0*r = i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -611613, -1223228, -1834843, -2446458?\nAnswer: -3058073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*m. Suppose 0 = d + 2, m = 3*n - 4*d - 18 - 17. Suppose 5*h = -y - n, -y - 4*y - 3*h = -21. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b + 186112 = 35*b. What is the tens digit of 7\/2*b\/(-56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2140271 divided by 305753.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 1) + -7 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4234 - (-120)\/((-90)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3319 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27853*b**2 - 396973*b?\nAnswer: 55706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h + 20, j - 2*h - 8 = 0. Does 7 divide j - (3 - (2 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9592 = -4*n - 18*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -8*n + 1. Suppose -5*w - y - y = 23, 0 = 2*w - n*y - 6. What is the least common multiple of (-1)\/(2\/4)*(1 + w) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 70403.18 centuries?\nAnswer: 84483816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 7269.\nAnswer: -14538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 54. Determine i(18).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 111 = -3*y + 13*y - 73, 0 = 4*w - 5*y + 53 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04796, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5 = -3*b + 6*h, -3*b = 2*h + 2. Suppose 2*k - 24 + 4 = b. What is the remainder when 49 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 + 23*y**3 + 20590*y**2 - 20587*y**2 in the form g*y + l*y**2 + u*y**3 + b and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide ((-108)\/(-20))\/((-9)\/(-45))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 62 = -5*z. Let j = z + -6. Calculate the remainder when j is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 26.3, -4, 1, -2\/3, 3\/16, -1273?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 120924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1433801 plus -1309.867?\nAnswer: -1309.7236199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, l: 2, a: 5, e: 3}. Give prob of sequence aaaa.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3366*h + 851651. Give p(-253).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -18, -34, -68, -126, -214, -338?\n\"Answer: -d**3 + 3*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:46 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 32*x**2 - x. Suppose -29*m = -427 + 108. Let b(u) = -m*u - 9*u + u + 20*u. Give b(v(f)).\nAnswer: 32*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a minute in seconds?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 1)*1 - 1. Let r = 0.07 - 0.13. Let s = 4.06 + r. Which is the smallest value? (a) -0.4 (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 55\/14?\nAnswer: 55\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -399*q**2*z**3 + 194642*q**2*z - 64*q*z**2 wrt z.\nAnswer: -2394*q**2*z - 128*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 9:05 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*o**3 - 889*o + 22*o**3 + 889*o + 25*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-1242)\/(-24))\/((-3)\/(-1308)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4153 + -353. Let j = -1515 + y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 + 25 = -10*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 677900319*f**4 - 981493332*f wrt f.\nAnswer: 8134803828*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -17, -4, 4 in decreasing order.\nAnswer: 21, 4, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7992*s + 167714. Give w(21).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4400 divided by -2200?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 + (7 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000110 (base 2) to base 12.\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5))**11\/(a**(-1\/2)\/a*a)**(-5\/2) assuming a is positive.\nAnswer: a**(63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) 0 (b) -3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 22*t - 1. Determine o(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -27844 * 1.6\nAnswer: -44550.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 24, -2, 3, 7, -19 in decreasing order.\nAnswer: 24, 7, 3, 1, -2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 3 + (156\/7)\/(-12). Put 2\/171, 2, k in descending order.\nAnswer: 2, k, 2\/171","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -368*d. Let q(b) = b**2. Determine k(q(w)).\nAnswer: -368*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -441 and 3066.\nAnswer: -1352106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*s - 56 + 20*s + 13*s)*(-23 + 29 + 16).\nAnswer: 22*s - 1232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 2:43 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10922 + 10922. Solve 4*q + 5*m = -42, y = -4*q - 2*m + 81 - 105 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, -63, -3, -268, 0 in descending order.\nAnswer: 111, 0, -3, -63, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -284720, -569441, -854162, -1138883, -1423604, -1708325?\n\"Answer: -284721*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 5*f**2 + 5*f + 13. Let p be k(6). Solve -3*o + 2*o + 4*q - 17 = 0, -4*q = o - p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 20*u**2 - 19055*u + 56985 = 0.\nAnswer: 3, 3799\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)\/y**(-2) assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1145 divided by 1.\nAnswer: -1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + (sqrt(125) - (0 + sqrt(125))*-5) + 2 + -5)**2.\nAnswer: -210*sqrt(5) + 6134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 8*g + 8. Let t be d(-7). Let p(h) = 5*h + 1. Let a(m) = m. Determine t*p(o) - 6*a(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90671677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -166. Let l = t + 183. Put -1, l, 4 in descending order.\nAnswer: l, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -6*r - 61. What is the remainder when 184 is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*c*f**3*u - 7*c*u - 40*f**3*u - f**3 wrt c?\nAnswer: -9*f**3*u - 7*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4 - 549*o**3 - 23799*o**2 + 501237*o + 36056490 = 0. Calculate o.\nAnswer: -95, -61, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 192.12 - 2524.6\nAnswer: -2332.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/(-6))\/(-7))\/((-1)\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahhh. What is prob of picking 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**2 - 825*u - 58. Give n(-104).\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36162.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/2085025 and -19\/5004060.\nAnswer: 25020300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r**3 - 6*r**2 - 11. Let h(m) = 3*m**3 - 2*m**2 - 4. Let u(d) = -11*h(d) + 4*y(d). What is s in u(s) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -625? (a) 5 (b) 14 (c) 4\/3 (d) 0 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.019, 4 in descending order.\nAnswer: 4, 0.3, -0.019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + u - 0 + 9, 2*p - 14 = -2*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 + 4*j**2 + 5*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -2 + 5 + 0. Suppose -44 = i*j - 7*j. Let u = 60 - 28. Calculate the remainder when u is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15655 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(13) + sqrt(13) + (sqrt(325) + 5)**2 - (-5*sqrt(117))**2.\nAnswer: -2575 + 53*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4966079 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/6, -1\/4, 87, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10 (b) -3\/7 (c) -5 (d) 25\/8 (e) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 42234*a. Let z(b) = -3*b. Give z(f(h)).\nAnswer: -126702*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 518 - 514. Let d(g) be the first derivative of 0*g**2 + 1\/5*g**5 + 0*g**o + 3*g + 0*g**3 - 9. Find the first derivative of d(t) wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113 and 4633?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*b + 119. Let u = 53 - b. Let p = u + -10. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 207.999548 - 208. Round r to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, -9, -4\/5, 18.7, -0.2, -0.007?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 752944 divided by -51.\nAnswer: -752944\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 30?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**0*w**9*(w\/(w\/(w\/(w**(-22)\/w))))\/(w*w*w\/w**(-3\/14)*w) assuming w is positive.\nAnswer: w**(403\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/23)*u)\/u**5 assuming u is positive.\nAnswer: u**(-71\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/7)\/((-1917)\/994). Let 2\/9*y**2 + q + 4\/9*y = 0. Calculate y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = s - 14. What is the remainder when -14*18*(-2)\/s is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*y**4 + (23 - 23 + 6*y**2)*(-2*y**2 + 0*y + 0*y))*(0 - 2 + 6).\nAnswer: -40*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*k**2 + 2*k**3 + 53*k**2 + 5 - 93*k**2.\nAnswer: 2*k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -2\/2505, 2\/1193?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -943*f - 20584. Determine d(-23).\nAnswer: 1105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109721*l**3 + 56352*l**2 wrt l?\nAnswer: -658326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17471775 is divided by 3494353.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 107*v - 6. Let d(h) = 316*h - 17. Determine -3*d(g) + 8*y(g).\nAnswer: -92*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 7. Let a = -20 + 13. List the prime factors of r(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3178401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5*1*7*24\/420 and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + 2*u - 5*u)*(1 + 2 - 1)*(-3 + 3 - 2)*(-1 + 5 - 3) - 7 - 11 + 19 + 13*u)*(5*u**2 - u**2 - 5*u**2).\nAnswer: -21*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/120 - p**5\/10 + 5*p**4\/24 + 6*p**2. Find x such that h(x) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 243?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 93*d**2 + 193*d + 313. What is i(-95)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 3*r**3 + r**2 + 4*r + 12 + 2*r**3 + 15 - 4 in the form h + v*r + c*r**2 + o*r**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5e188 + -4?\nAnswer: -5e18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -99400 and 16198.\nAnswer: -83202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8 - 1923*h + 32 + 1921*h + 16. Let a(y) = -y**2 - 77. Determine a(j(c)).\nAnswer: -4*c**2 + 224*c - 3213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 523, 1893, 4167, 7339, 11403?\n\"Answer: -n**3 + 458*n**2 + 3*n + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2052 - -0.0028. Round g to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -44. Suppose 6*r - j = 2*r. Solve -3*o + r + 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 10 - 7)*(40 - 9*j - 40 + (0 + 5 - 3)*(-j - 5*j + 5*j) + j - 2*j + 0*j) in the form b*j + s and give b.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -788661741*a**3*o**2 + a**3*o - 221912*a**3 - 66*a**2*o wrt o.\nAnswer: -1577323482*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -506 + -38.5349636104\nAnswer: -544.5349636104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 + 96.1. Let b = 2 + -1.3. Let r = b - 1.1. What is the nearest to -0.2 in 1, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccrrsrsggsrp. Give prob of sequence cp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231 divided by 3.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7043 - -7042.9999977628. What is g rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**5 - 288513*t**4 + 461599*t**3 + 519317*t**2 - 461604*t - 230804 = 0. What is t?\nAnswer: -1, -2\/5, 1, 2, 57701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/3*9639\/108. Let q(t) = -z + 6*t**2 + 473 + 5*t**2. Let a(j) = -120*j**2 + 32. Determine 3*a(p) + 32*q(p).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*k**5 - k + 27 - 2*k**5 - 8*k**5 + 88*k**5 + 246 wrt k?\nAnswer: 3240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 19*b - 0*b. Solve -4*r + b*y + 0*y - 36 = 0, 5*r = -5*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1176800*4.\nAnswer: -4707200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 1)\/((-3)\/(-8)). Suppose -z = 2*b - 24. Calculate the highest common factor of b and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3825 = -0*k + 15*k. Suppose k + 676 = 7*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6990 - 11433. Is -4443 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a week?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/455, 21, 38 in decreasing order.\nAnswer: 38, 21, 1\/455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/54 and 91\/110268.\nAnswer: 110268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105085?\nAnswer: 5, 17, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14388300 by 10658.\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32321, -129285, -290877, -517091, -807921, -1163361, -1583405, -2068047?\n\"Answer: v**3 - 32320*v**2 - 11*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942*(135\/72*12)\/3.\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4460*x + 20547*x - 313 + 313.\nAnswer: 16087*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 18 = 17. What is the greatest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (-10)\/(-3))*(15 + -21). Let b = 140 - 66. Is 4 a factor of y\/(-36) - b\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from hxhmhhm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 0 + 1\/12*b**4 + 1\/2*b**2 - 4*b + 4\/3*b**3. Is y(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h - 4*t - 16 = 0, -37 = 4*h - 3*t. Let c be (-8)\/28*h\/9. Solve -c*p**2 - 2\/9 - 4\/9*p = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*g**3 - 613*g**3 - 208*g**3.\nAnswer: -986*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -220995953 or -220995957?\nAnswer: -220995953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2475)\/615 - -5) + (-3 - (6 - 8)).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184548 - 340636 = 2290*h + 3267*h + 260687 for h.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140933?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3 + (-20)\/(-12). Let r be c*-1*10\/(-5). Suppose 6*d + 20 = 4*u + 2*d, -5*u - 4*d = -7. Solve -r*t + t + u = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -5\/2*y**4 + 0*y - 1\/2*y**2 + 0*y**3 + 1. Calculate l(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 448 + -257. Let k = j + -191.3. Which is the nearest to -1? (a) -1 (b) k (c) 3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 40. Let v(d) = -d**2 - 15*d - 9. Let g be v(l). Suppose -4*x = g*a + 223 - 596, 5*x = 5*a - 400. List the prime factors of a.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55012 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 12:31 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378612?\nAnswer: 2, 3, 13, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/30 and -19\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2*f**2 - 25*a**2 + 143*a*f + f**2 + 12 with respect to f.\nAnswer: 6*a**2*f + 143*a + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/223 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -57*r + 60*r. Let c(p) = -p**3 + 2*p**2 + 4*p - 1. Calculate c(r).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6290 and 3910.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1219 - -1219.3. Let o = -0.6 - -0.54. Is o != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-28))\/((-30)\/(-42)). Put -0.3, 1, 2, d in ascending order.\nAnswer: d, -0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 473\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -1 - (1 - 0)) + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8\/21 + -127\/168. Let i = -21199\/8 - -2642. Let d = 31\/4 + i. Which is the nearest to 0.1? (a) 5 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*p - 7. Let c(i) = 21 - 1 - 5 - i. What is the lowest common multiple of 4 and c(p)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -333, -741, -1319?\nAnswer: -2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*x - 44, 0 = -13*x + 14*x + 4*t - 4. Solve -9*q + 5*q = -x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 2475?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from {e: 5, n: 1, i: 11}.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 56*s - 4. What is x(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 20. Let w(k) = 0*k + k + k - c*k. Let q(b) be the second derivative of b**4\/6 + 2*b. Determine w(q(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or 66?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0+-23627\nAnswer: -23627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 - 4*k**3 + 0*k - 2*k - 5*k**3 + 62*k - 62*k + (-2 - 2 + 2)*(-k**3 + 0 + 0) to j*k + s*k**2 + x + v*k**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 116688\/(-264)*(-72)\/312?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -34*w + 59. Suppose -w*h + 31*r + 142 = 30*r, 5*h + 4*r - 248 = 0. What is the highest common divisor of 72 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21664417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 3057606 + 3057606.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -10185*c + 10189*c - 3*k, -3 = -c + 5*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asapspppj. Give prob of sequence sj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-29)*q**(-16)*q*q)**(6\/23))**(-15) assuming q is positive.\nAnswer: q**(3870\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3553358764 by -2.\nAnswer: 1776679382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, d: 1, l: 1, c: 4, e: 2}. Give prob of sequence lell.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -17.8. Let q = -2 - g. Let o = -15792 + 63169\/4. What is the nearest to o in -2\/19, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 5*g = 0. Suppose g*q - 4*q + 84 = 0. Calculate the remainder when 119 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + i - 2*i + (-2 + 2*i + 2)*(2 + 1 - 2) - 22*i + 18*i - 49*i in the form j + a*i and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -18*k - 93. Let f be d(-5). Let n be (f - -3)\/(-13 + 12). What is the closest to n in -5, -1, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, -2\/1063, 1\/5 in ascending order.\nAnswer: -0.1, -2\/1063, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94574 or -94575?\nAnswer: -94574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5 + 7. Let c(i) be the first derivative of 0*i - 214\/5*i**5 - 17*i**4 - 3 - 8*i**2 + 88\/3*i**3 + 35*i**o. Suppose c(h) = 0. Calculate h.\nAnswer: -2\/3, 0, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - -2 - (-4)\/(-2). Suppose v*w - 1458 = -w. Let b = w + -227. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 204*m**2. Let o(s) = 2*s**2. Determine g(o(n)).\nAnswer: 816*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -64*y - 4752. Let m be q(-97). Solve m = -v + 1451 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l + 2*l - 5*l + (-l + 0*l + 3*l)*(-1 + 4 - 1) - l + 2*l + 0*l - 2*l + l + 2*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 38509291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17372679 and 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3060*o + 2151. Let w be d(-1). What is the highest common divisor of 27 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/9 - 980*t\/9 - 41800\/9.\nAnswer: -4*(t + 55)*(t + 190)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1194*f**3 + 1198*f**3 + 4.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.28 - -9. Let q be (-6)\/(-15)*1 + (-56)\/90. Is q >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**2 + 7*c - 3. Let a be s(-3). Solve b = 2*b + a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-364*z**5 - 6*z**5 + 26*z**5)*((1 + 3 - 3)*(-1 + 1 + 1) - 1 + 0 + 2).\nAnswer: -688*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 5)*(-4 + 4 - 2*g)*(-27*g + 30 - 30) in the form l + t*g + x*g**2 and give x.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 837 (base 10) in base 13?\nAnswer: 4c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 367922230 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-520 + 79*f + 520)*(3 - 4 + 3) - 901 + 82*f + 901 in the form c + u*f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-74802)\/54 - (35\/45 + -1). Let i = f + 3110. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5155 - -1?\nAnswer: -5154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 + 124 = 120*o - 7. Let h be -2*1 + 0 + 5. Suppose -h*m + m - 24 = 0. Sort 5, m, o in descending order.\nAnswer: 5, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 498 and 6?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52.6 - -52.6. Which is the nearest to -0.1? (a) -37 (b) -0.1 (c) o (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1345.9999267 - 1346. Round k to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 10167 - 5301 - 2*w - 5150 in the form i*w + q and give q.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*p + 10414 + 241*p - 10414 - 540*p.\nAnswer: 73*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2, -2\/5, 44?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/9)\/((-8)\/(-612)). Let g be (0 + j)*127451 - 1. What is g rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, 31, 49, 69, 91, 115?\n\"Answer: a**2 + 13*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 4*c**2 - 4*c - 3. Let b be r(-3). Let h = 0 + b. Suppose 0 = -h*a + a - 6. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15488 is divided by 57?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 88\/41 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**2 + 34*j - 31. Calculate h(8).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -52 - 28. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 8*w**2 - 1. Let l be c(5). Let d = -33 + l. Suppose 7 = -r - 2*m - m, -5*r + 4*m = -d. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5484, 5479, 5476, 5475, 5476, 5479?\n\"Answer: m**2 - 8*m + 5491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.11, 2\/17, -14225?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 + -124. Let z be (-4)\/(-1)*(-3 - -2). Let b = 0.4 + -0.6. What is the second smallest value in b, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17a - -4015?\nAnswer: 4194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/(-117))\/((-968)\/48 - -11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85041685 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62 - 62 - 38*w**2 + (4*w - 369 + 369)*(-2*w - 2*w + 5*w))*(-3*w**2 + w**2 - w**2) to the form z + o*w**3 + l*w + g*w**4 + i*w**2 and give g.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11 + -3.31. Let v = 0.2 + h. Suppose 4*m - 145 = -129. What is the closest to 0.3 in v, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142 or 151?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((1\/(-1))\/((-3)\/(-3)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615004 greater than or equal to 2615005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 146*a**2 - 1169*a + 6. Calculate t(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -180*(-1 + 2)*-2. Suppose 14*w = 27*w + 234. Let f be u\/54*w\/(-5). What is the highest common factor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 3*s**2 - 2*s**2)*(s + 0*s + s) - 5*s**3 - s + s + 0 - 3*s**3 + 0.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, v: 3, s: 1, o: 9}. What is prob of sequence ovv?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-4)\/(-7))*-1. Let n(m) = -1. Let b(q) = 5*q + 1. Let h(y) = -b(y) + 5*n(y). Let f(p) = -6*p - 7. Give c*h(i) - 6*f(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -6\/311077 (c) 2 (d) 5 (e) 2\/3 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*n - 24, 0 = 5*w + 9*n - 4*n. Which is the closest to -1\/4? (a) -1 (b) -2 (c) w (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91272561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 134, 197, 260, 323, 386?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 3 - 2 + 0*p + 1. Let m be d(4). Suppose -m*n = n - 65. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*v**2 + 3*v**2 + 0*v**2)*(-4 - 3 + 5) + 2*v**2 + 5 - 5)*((-5 + 4 + 3)*(1 + 2 - 4) + (-3 - 7 + 2)*(-8 + 17 - 34)).\nAnswer: 792*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.049 - -0.049. Let g = 70 + j. Which is smaller: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 850 and 950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2396 divided by -16.\nAnswer: 599\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 89 - 26 + 4*f - 57 - 37.\nAnswer: 2*f - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 34 = 5*g - 12*l, 4*g - l - 23 = 0. What is the units digit of (-812)\/(-10) - 1\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 457, 895, 1333?\n\"Answer: 438*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 14*h - 97. Give d(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -8*s**3\/3 - 9*s**2\/2 - 26*s. Let k be v(-1). List the prime factors of k + 102 - (-8)\/(-2).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(-15)*62\/3069.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z + 4 = 0. Suppose -3*u = m + z*u - 30, -5*u = -2*m + 75. Suppose 3*y - 7 = m. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 - -83.9918. What is c rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-2 - -80) + 912 + -921. Suppose -z + 280 = 3*z. Calculate the highest common factor of z and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m - 20. Suppose 0 = -m*c - 0 + 16. Suppose 2*w = -4*v + 4 + 4, 0 = c*v - 4*w + 4. Solve 3*p + 2 + v = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/8, -4\/7, 1, 0.3, 14, 1\/6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-6)*(-1)\/5. Let r = -0.2 + 0. Is r <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 115?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 64.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512265774.\nAnswer: 2, 3, 109, 397, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2 + j**2 + 2*j**2 + 5*j**2 - j. Let w be i(-1). What is the derivative of 5 + 5*v**4 + 0*v**4 + 2*v**4 - 3*v**w wrt v?\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 88, 108, 126, 142, 156?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/(-1547)*(-91)\/26?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 50 = -2*r, -5*r = -g - 25 - 124. Let t = -26 + r. Solve -t*w = 5*p - 25, p = -3*p + w + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156 - 76. Suppose 5 = 5*r - q. Solve -r = -4*n + 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 + 2*a**2 + a**2 + (2 - 3 + 2)*(-3*a + 3*a - 2*a**2) + 2*a**2 + 2*a**2 - 3*a**2 + (4 - 4 - 3*a)*(-18*a + 15 - 15) as u*a**2 + r*a + m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -725 - -1019. Round m to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.865858628 to three dps.\nAnswer: 0.866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(2\/9)*f)\/f)\/(f*f*f*f**(2\/9)*f))\/(f\/(f*((f*f**4*f)\/f)\/f*f)*f*f**0) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 1 - 17*x + x**3 + 18*x - x**2 + 5 - 2*x**4 in the form r*x**2 + z + i*x**4 + u*x**3 + a*x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*g - 96*g + 16*g + 64*g + 1859 in the form u*g + x and give x.\nAnswer: 1859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7)**(-1\/53)\/(m**1*m*m**(6\/5)) assuming m is positive.\nAnswer: m**(-883\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1014 and 4246294?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320880919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -9, -1233, 5, -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onujuxlxujlu. What is prob of sequence jo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 + 36*h**2 - 56*h + 48. What is l(10)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-18) + 241675\/(-30). Suppose 0 = m - 0*m + 2856. Let b = m - n. What is b rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5\/5 + 4*v**4\/5 - 2*v**3\/5.\nAnswer: -2*v**3*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -2c7?\nAnswer: -2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-18) - ((-5)\/6 - (-330)\/540). Let m be 65\/10 - (-2)\/(-4). Let i be ((-6)\/m)\/((-6)\/8). Which is the second biggest value? (a) i (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 59*s**2 - 3664*s + 807. Calculate c(62).\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m + 7. Let i(v) = 6*v - 6. Suppose -4*k = -6*k - 180. Let z = 94 + k. What is z*t(j) + 5*i(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvv when three letters picked without replacement from kozvoykvkrrvro?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4635059?\nAnswer: 11, 13, 32413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**2 - w - 1304. What is the hundreds digit of g(42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181 divided by 7128?\nAnswer: 1181\/7128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/5*(-5)\/(-1). Let k(q) = -5*q - 6. What is the remainder when k(h) is divided by (-2)\/(2 - (-84)\/(-39))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53730407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -29, -0.18, 5, 7?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -84*d**2 + 435*d + 4. Calculate f(6).\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -116 + -1 + 6 + -4. Let x be (q\/50 - -2)*-35. Suppose 0 = -5*h + 46 + 4. Is h != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15175 + -15179. Let l be (3\/(-30))\/((-1)\/48). Let n = l - 5. What is the third smallest value in n, j, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3*(sqrt(1053)*1)**2 - (sqrt(1053) + 1 + -4) - ((-1*sqrt(1053) - sqrt(1053))*2 - (-1 + sqrt(1053))*5)**2))*-6.\nAnswer: -4806*sqrt(13) + 492912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 315.761366 and 0.21?\nAnswer: 315.551366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1314 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -285 - -287. What is the closest to -1 in 4\/7, s, 1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -593814047975.000000309 + 593814047642. Let v = k + 333. What is v rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -174*y**2 + 39164*y - 3153. What is b(225)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1010000110?\nAnswer: -1010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/450 + 7*i**4\/45 - i**2 - 13*i. Factor a(t).\nAnswer: 2*t*(t + 28)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/(-7))\/(3256\/22792)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-63)\/(-49)*-3*(-3)\/(-27).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 3*d + 3. Let r be n(-4). Suppose 5*k - r - 17 = 0. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - 4 - 3 - -4. Suppose 3*j = 3*o + 33, -l*j - 1 = 5*o - 58. Do -2\/5 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-4)*s)\/s)\/s**(2\/11)*s**(-1\/22))\/(s**(-2\/13)*s\/(s\/(s**(2\/9)\/s)*s*s*s*s*s)*s\/(s*s\/(s**(-1\/4)*s))*(s*s**(-2\/5))\/s*s*s) assuming s is positive.\nAnswer: s**(9121\/25740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(22484\/(-110))*1\/((-70)\/(-56))\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763690 divided by -352738?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8*x - 6. Let u(w) = 13*w - 14. Let o(f) = 20*f - 21. Let k(b) = -5*o(b) + 7*u(b). Let h(s) = 6*k(s) + 7*r(s). Give h(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*s = 178, 4*s = 2*s. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 2. Let q(p) = -12*p**2 - 10*p - 36. Determine -6*h(y) + q(y).\nAnswer: -12*y**2 + 2*y - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/1395 + 461\/2790. Which is the third smallest value? (a) 3 (b) -92 (c) m (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 7854586*p + 30847260615698.\nAnswer: (p + 7854586)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 35*n**2 - 37*n + 105. Determine h(34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*s = 75*s + 2*b + 18, -2*s = b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1970 - 1140. Suppose -3*b - 4*m + 3*m + 2510 = 0, 0 = b - m - y. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1747250, -26, -4, 0.2 in descending order.\nAnswer: 1747250, 0.2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*v = -6*v, -5*a = v - 11. Calculate the lowest common multiple of ((-6)\/9)\/((-4)\/30) and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80*38\/(-760)*63\/4\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + 15. Let n be (-480)\/(-64)*1\/(1\/(-4)). Let z = a + n. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/7 (b) -40\/23 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -40*o**5 + 202*o**4 - 330*o**3 + 176*o**2 - 8*o = 0.\nAnswer: 0, 1\/20, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1)\/(((-143)\/(-151645))\/(-11)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(119) + sqrt(119) + (sqrt(119) - 1*sqrt(119)) + sqrt(119))*6)\/((sqrt(7) - ((sqrt(35)*-2)\/sqrt(5) + sqrt(7)))*-2).\nAnswer: 27*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2303112 - 2?\nAnswer: -2303114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(0 - (-28)\/8). Let v be (-1 + y)*(-28)\/16. What is the highest common divisor of 70 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**3 - 4*h**2 - 132*h - 531. Calculate s(-6).\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {a: 1, g: 1, v: 1, o: 1, f: 8}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbzbbbbzbb?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f = -w + 980, 0 = 3*f - 2*w - 746. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17819 - 17824. Let p = 3 - 3. Which is the closest to -0.5? (a) p (b) -2\/3 (c) y (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 - 15.15. Let z = -770 + 785.04. Let w = z + o. Which is the nearest to 2\/3? (a) -1 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 0*q**3 + 4*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3785, 581, -2619, -5815, -9007, -12195?\n\"Answer: 2*a**2 - 3210*a + 6993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77085*d**2 + 159501*d.\nAnswer: -154170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 162 in decreasing order.\nAnswer: 162, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-8))\/((-4)\/64). Let v be (-88)\/c*(-25)\/(-1). What is the remainder when (-30)\/(-15)*v\/4 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Suppose u*z = 8 + 40. Suppose 5*s - z = -3*k, 0*k = 4*s - 4*k. Let f(v) = -v + 1. Let i(d) = 2*d - 1. Calculate s*f(x) + 2*i(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 2\/15 (c) -0.2 (d) 0.219 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -183877 in -2, 0.05, -0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-30)*-3)\/(6\/2700*15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 384 by 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235672131 is divided by 1707769.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-245))\/(1*-1 + (-568)\/(-497))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/196)\/(15\/(-35)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -236 - -238. Suppose 0 = 5*v + t*y + 30, 4*y = 2*y - 10. What is the smallest value in -3, v, -0.03, 2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 3749449?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3621 - -1?\nAnswer: 3622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214d3 (base 14) in base 2?\nAnswer: -10010110111110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20320725.\nAnswer: 3, 5, 43, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/49 and 52\/21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38106 + 106402. List the prime factors of y.\nAnswer: 2, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783 is divided by 61.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4681 - -4815 - (-2 - -29)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**4\/12 - 7*m**3\/6 + 15*m**2\/2 + 5*m. Let t be j(7). Is (t\/6)\/((-2)\/(-68)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 13*s**3 - 2*s**2 + 6*s - 20. Calculate the remainder when t(3) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/21 and 53\/114.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 926166288 - 463083147 + 24*b - 463083141 - b**3.\nAnswer: -b**3 + 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131887?\nAnswer: 7, 83, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*t - 9*t - 27*t - 14*t + 2*t - t + t + (2 - 3 + 0)*(1 - 2*t - 1) - 2 + 2 + 2*t as z*t + n and give z.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 182*c + 3. Let a be x(4). Let h be -1*(-2 + (-3)\/(-2))*2900. Let d = h - a. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 12*c**2 + 10*c - 12. Let d be m(-11). Let s be -34 + 4 + d - 2. Let f = s + 50. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10439640 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 30 = 5*h, -2*u + 7*u - 20 = h. Suppose w - 5*o - 36 = -3*w, -5*w = -u*o - 40. Solve 0 = -8*l + w*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*j - 2959 = -4*q, -1185 = -2*q - j. Calculate the highest common divisor of q and 558.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 714 divided by -14\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 35*n + 530 = 40*n - 4*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758 = -b - b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 - -b19306?\nAnswer: b19349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(6\/5 + (-8)\/40). Put 1, v, -21 in decreasing order.\nAnswer: v, 1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {u: 3, c: 2, e: 2, q: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/14 - 1)*60. Solve 20*u - 10 = -w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/4 - (-5)\/(-10). Suppose -5*i + t = 2*f, -i + 2*i = 5*f + 23. Let h = -20 - -19.9. Which is the nearest to h? (a) -2 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302912 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 12823132. Let b = 1 + -1. Let n be w(b). Let z = n - 7323132. What is z rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -0.2 (b) 4\/7 (c) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 26 + 0*b - 1. Does 12 divide c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*x**3 + 2*x - 14*x**3 - 11*x**3 + 6*x**4)*(-25*x + x - 5*x + (11*x - x - x)*(0 + 0 - 1)).\nAnswer: -228*x**5 + 152*x**4 - 76*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3 + sqrt(147) + 0 - (sqrt(147) - (5 + sqrt(147)*-2))) + 1)**2.\nAnswer: -336*sqrt(3) + 2388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-16)*r)**22 assuming r is positive.\nAnswer: r**(-330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(13) + -1 + 5 - (sqrt(13) + -3*sqrt(13))*6*2)*4)**2 + 3.\nAnswer: 800*sqrt(13) + 130019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204 and 187.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 982 = 160*h - 698 - 1295 + 735 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 18*l**2 - 5*l + 4. What is the remainder when a(-18) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111001111110101101101100 + -10?\nAnswer: 10001111001111110101101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 + -119.000002382. What is v rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 3*d - 81. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**5\/2 - 25*n**4 + 24*n**3 + 25*n**2 - 49*n\/2 = 0.\nAnswer: -1, 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/2 - (-27)\/9. Suppose -i = -x - 6, i + v = 6*i + 5*x. Solve 0 = -2*m - 5*l, -i*m + 2*l + 9 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 10*o + 14. What are the prime factors of u(-4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214855*k = -214796*k + 429561*k + 8550 for k.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 16 = 3*f - 4*k, 5*f - 3*k = -11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 - 0 - (-17 + 16) - -15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 5:56 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 404791 = 5*c + 21067. Does 170 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -10 - 4 - 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*h - 70*h**5 + 57*h - 4*h**5 - 72*h**5 wrt h.\nAnswer: -2920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19926?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -5, 1\/27, -2\/7 in descending order.\nAnswer: 51, 1\/27, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 381217 - 99116619\/260. Let y = u + 1\/65. Which is the closest to -1? (a) y (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 4*c**2 + 3*c**2)*(4*c**3 - 380*c**2 - 99*c**3 + 380*c**2).\nAnswer: -190*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4 (b) 1 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 25. Let j be ((-3)\/9)\/(x\/30). What is the closest to j in -4, -2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17068, 17098, 17116, 17122, 17116, 17098?\nAnswer: 17068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - u - 2*u = 49, -2*u + 4 = k. Calculate the smallest common multiple of 63 and k.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*(0 + (-5)\/(-20)) - (-67)\/(-7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than or equal to -122\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/252 and -127\/46270.\nAnswer: 832860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 22 = 3*d, -4*d - 15 + 0 = a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/52 and 51\/112.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 922879165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 114915192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 32.95. Let o = -0.25 - -0.2. Let i = o - b. What is the closest to -0.1 in 0.1, i, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7)*4) - ((sqrt(117)\/sqrt(9) + sqrt(13) + -1)**2 - sqrt(13)).\nAnswer: -53 + 21*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -354.\nAnswer: 1\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1196 and 1197 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.31 = 116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from dddddydydddddddddddd.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 590405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 4. Let a be ((8*1)\/2)\/2. Suppose a*w - 8 = 4*w. Calculate y(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833838.\nAnswer: 2, 3, 31, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5686574 (base 9) to base 15.\nAnswer: -40943d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 261 + -260. Let t(q) = -q - 1. Let c(y) = -y. Let r(u) = -u - 2. Let b(m) = 2*c(m) - r(m). Determine a*b(v) + 2*t(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -2474 and -2481 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 3:32 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, s: 5}. Give prob of picking 2 s and 2 q.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -355.\nAnswer: 3\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 467214, 467213, 467212, 467211, 467210, 467209?\nAnswer: 467208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*m*y**2 + 21*f*m*y + 25*f*m - 2*f*y + f + 29775*m*y**2 + 19*m*y + 9*y**4 + 2 wrt y?\nAnswer: -2*f*m + 59550*m + 108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8092?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34567919 and 4853?\nAnswer: 34567919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662787699.\nAnswer: 3, 7, 31561319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)*-2*-2)**2 + (sqrt(450) + sqrt(2))**2*-2)*-4.\nAnswer: -11392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3))\/((-6)\/918). Let o = h + -32. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 2*m - 1. Let c(p) = 3*p**2 - 6*p - 2. Let k(l) = -l. Let g be k(2). Let w = 1 - g. Let i = -7 + -1. Determine i*o(r) + w*c(r).\nAnswer: r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 397*d**4 - 522*d**3 + d**2 - 3*d + 3184086 wrt d?\nAnswer: 9528*d - 3132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 415604087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaeaa. Give prob of sequence aa.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 52 - 52)*(-16*a**3 + 8*a**3 - 20*a**3) to the form q*a**4 + k + g*a + j*a**2 + h*a**3 and give q.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10810 is divided by 1787?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-22)\/88 + (-770)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (15 - 2) - 9 - (17 + -2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25814450 and 356?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(3\/(-907)*2\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 0)*(h + 0 + 0) - 5 - 3*h + 5)*(-3*h - h + 2*h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 4*f + 4. Let z be l(5). Let b be (-25 - z)*16\/(-16). Round b to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w - 16. Let o = 0.3 + -1.3. Which is the closest to o? (a) w (b) 0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 64*q**3\/3 + q**2 + q + 45. Find the second derivative of d(m) wrt m.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -369, -3045, -10315, -24477, -47829, -82669, -131295, -196005?\n\"Answer: -383*m**3 + m**2 + 2*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Suppose 35 = -i*u + 11*u. Solve -4*g - 22 = -u*o, 0 = -2*g + 2*o - 4 - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937469.\nAnswer: 13, 37, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 7:57 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 591 = 2*o - 7*o, 0 = o + 3*d - 129. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, 2\/11, -5, -0.5, -2080 in descending order.\nAnswer: 2, 0.5, 2\/11, -0.5, -5, -2080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 35c43d9?\nAnswer: 35c43d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1249010 and 749406.\nAnswer: 3747030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvvq when four letters picked without replacement from {v: 2, q: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + d + 2*d = 131, 3*q - d + 179 = 0. What is q rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -376055 - 25*f - 26*f**2 + 376055 to q*f**2 + j + v*f and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x = 75. Suppose 0 = -42*q + 604 - 184. Calculate the highest common factor of x and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by -36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -g + l + 94, g = -2*l + 85. Calculate the remainder when g is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.313311 times 186\nAnswer: 244.275846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*k - 4 = -k, -3*l + 4*k = 29. Let d(b) = -2*b - 3. Let i be d(l). Solve -1 = -h + i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p**(-12)\/p)*p*p\/p**10*p**(-2\/29)\/p**(2\/19) assuming p is positive.\nAnswer: p**(3761\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 29, 4, -275, -13 in descending order.\nAnswer: 29, 4, 1, -3, -13, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*c - 6*l - 6, -3*l - 1 = -c. Let g be 2\/8*4\/c. Let h = 5\/3 + -29\/21. Are h and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*k + 69 - 189, 3*m - 85 = 5*k. What is the highest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 6 = -3*y + 8, 5*s = 25. Let g(r) = -14*r + 2 + y*r - 16. Give g(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2830.287 nanograms in milligrams?\nAnswer: 0.002830287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 92 + 80 = 0. Let u(w) = -w**3 + 14*w**2 + 14*w + 20. Suppose -5*x - 85 = -5*b, -3*x - 54 = -4*b - 6*x. Let y be u(b). Is y at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*s + 3*n, 6*s - 20 = s + 5*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000046410931 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5413172 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + 0 + 10 + (7 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (39\/(-91))\/(7\/49) - (-13)\/(-11). Are 7 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2079068 divided by 2\nAnswer: -1039534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:00 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 20, -3 in increasing order.\nAnswer: -6, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1947 to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 458215760 + 25.2.\nAnswer: 458215785.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*k. Let m be (-3 - k)\/((-9)\/6). Let s(l) = l**3 - 2*l**3 - 2*l**2 + l**m - l + 7. Determine s(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/12 or -1?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a4 (base 12) to base 5.\nAnswer: -2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -433\nAnswer: -866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93154 and 564.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*((-14)\/(-4) + -2). Let h = k - 7. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -796, -3133, -7000, -12385, -19276, -27661?\n\"Answer: 2*w**3 - 777*w**2 - 20*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 412*b + 4943. Let z be t(-12). Suppose 32 = -5*n - 18. Sort 4, z, n, 5 in ascending order.\nAnswer: n, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*h**4 + 40*h**3*u**2 + h*u + 5*u**2 - 8*u wrt h?\nAnswer: 16*h**3 + 120*h**2*u**2 + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32667 (base 8) to base 2.\nAnswer: -11010110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1343872703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 - -131. Suppose -c + 30 = -5*p - 0, -2*p - 15 = -c. Calculate the greatest common factor of n and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 16*o + 5. Let r(s) = 115*s + 5426. What is the remainder when z(4) is divided by r(-47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2 + 3052*v + 1271892 = 0.\nAnswer: -2554, -498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407 = 3*a + 2*g, -5*a + 673 = 108*g - 106*g. Calculate the remainder when a is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2547*m + 889*m = 663*m + 74272 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 3*d - 432. Is d at least as big as 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 33*t = 0. Suppose -13 = -5*r + 22. Suppose r*s + t*s + 14 = 0. Let j(c) = -13*c - 2. Determine j(s).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 + 1b?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550747*a**2 - 107*a - 550753*a**2 - 109*a + 318*a - 102*a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*x - 8, 3*j + 3*x = 8*x - 6. Let h = 13 + j. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - -13. Calculate the remainder when a is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.5, 0.1, -2, 1, -14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p = -44*p - 104 + 280 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/20*5\/(-3)*(-10)\/50.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 2*z**2 + 2*z. Let g be o(-3). Suppose 3*s - 4*f - 32 = -2, -g*s - 4*f = -54. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15467 = -k - 2*k - 14*v - 15433, -5*k + v + 81 = 0 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(-1*sqrt(36)\/sqrt(4)))\/(-1*sqrt(48) - sqrt(48) - -5*(sqrt(3) + sqrt(12)\/sqrt(4))) + 0 + 5.\nAnswer: -sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/((sqrt(36)\/sqrt(3))\/sqrt(2)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p + 4*p**3 - 49 - 8*p + 38 as k*p**2 + l*p**3 + a + d*p and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:10 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 16. Suppose -4*r = -5*r + 3. Suppose -2*v - r*j = -4*j - 245, 2*j + 10 = 0. Calculate the greatest common divisor of z and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3267443700?\nAnswer: 2, 3, 5, 151, 24043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8947*j + 8915*j + 0 + 0)*(0*j**4 + 5*j**4 - j**4).\nAnswer: -128*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 2:40 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 2. Let d be (2*1\/4 + 2)*-6. Let i(u) = u + 10. Let l be i(d). What is p(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204 is divided by 207.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 - 34 - 10) + 49?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 984 - 982. Solve x*a = -5*h - 10, 0 = -2*a - 3*a - 5*h - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 13*h - 12. Suppose 4*i = 2*i + h*i. Suppose 10 = 2*b - i*b. Solve 16 = -j + b*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p*t**2 - 49906*p - 3*t**2 - 254*t - 131 wrt p.\nAnswer: 3*t**2 - 49906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzl when three letters picked without replacement from {z: 1, l: 10, j: 8}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-12))\/(3\/(-27)). Is k >= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 7, w: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(224\/3840*-10)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -479622 by -286.\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6\/13, 0.05, 4, -0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436468721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*t - 88894, 4*r = -4*t + t + 88930. Is t\/22 - ((-138)\/(-33) - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12755 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 75*l**2 - 2*l - 1. Let y be u(-1). Let r = 457\/6 - y. Let c = -5.13 + 0.13. Put -0.4, c, r in increasing order.\nAnswer: c, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 1:48 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*h - 1275*h + 228789 = 349*h - 36855 for h.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m - 24. Let c be x(4). Solve 20*n = 18*n - c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/15)\/((-4)\/5) + 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**2\/2 + 1123410*w + 2246815\/2 = 0.\nAnswer: -449363, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32191381 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7986, -15971, -23956, -31941?\nAnswer: -39926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8390*y + 0 + 8390*y - 6*y**2 + 0.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8 = -g. Suppose -g*u - t = 4*t - 8, u + 5*t - 4 = 0. What is the units digit of 4\/(0 + u\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*q**2 + 182*q**2 - 62*q**2.\nAnswer: 378*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 - 75. Let n = y - 29. Let r(o) = o. Let j(w) = 20*w. Let p(a) = n*r(a) - 2*j(a). Let x(i) = -2*i. Give p(x(t)).\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 44*f + 46*f = -25, -5*f = -3*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + sqrt(56)\/sqrt(8))**2.\nAnswer: -10*sqrt(7) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39*(-26)\/13*1\/3. Let p = 22 - 47. Does o = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -149*r**3\/2 + 2*r**2 - 47*r. Let a be x(-7). Suppose -348 = 5*p - a. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-1)\/((-2*sqrt(8) + sqrt(8))*-3 + sqrt(8)) + (-1 + sqrt(12)\/sqrt(4) - (-6*(sqrt(108) + sqrt(3)) + sqrt(3))**2).\nAnswer: -5044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*t + 3 = -497*t + 2*l, 3*l = -4*t + 22 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**5 - u**5 + 0*u**5)*(-3 + 1 + 0) + ((2 + 1 - 2)*(0*u - 5*u + 3*u) - 18 + 18 + 12*u - 2*u + 0*u + 0*u)*(-3*u**2 + 3*u**2 + u**4).\nAnswer: 10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -85. Solve 5 + y = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -929, -936, -943, -950, -957, -964?\n\"Answer: -7*o - 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + 90*h**2 - 259*h - 412. What is k(4)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 234 - 52 = 0. Solve 5*h + r = 31 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-122416)\/5465 + 3\/(-5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32974396 or 0.2?\nAnswer: 32974396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7*(-5)\/(-2)*58\/145. Solve 7*k + 7 = b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + 4*sqrt(3300))\/(3*sqrt(75)) - (1*(sqrt(121)\/(sqrt(11)*2) - sqrt(11)) + 2*sqrt(44)\/sqrt(4)*6).\nAnswer: -263*sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 + -7.5. Let w = 10 + p. What is the closest to w in -1, -2\/3, -6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 101, 109, 121, 137, 157?\n\"Answer: 2*r**2 + 2*r + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 10*w**2 - 3*w + 141. Let p(a) = -2*a**2 - a + 2. Calculate -h(z) + 5*p(z).\nAnswer: -z**3 - 2*z - 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85 and 799.\nAnswer: 3995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + 47. Let u = 99 - n. What is the third biggest value in u, 4, 29?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*b - 230685 = -135*b. What are the prime factors of b?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 4:16 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 25*t**2 + 33*t + 367. Let m be z(-26). Solve 37 - m = -37*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 21*k**2 - 27 + 6 + 12 + 9.\nAnswer: -21*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 10*u - 4*p = 104, 2*u - 5*p - 67 = 0. Let w = u - 8. Let y(a) = a + 15. What is the remainder when w is divided by y(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*g - 459 + 459 - 45*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o - 6. Suppose -o*j + 3*j - 5 = 0. Calculate the highest common factor of j and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - 13) + 3 + 17.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*o + 310 = 0, 5*o - 4*o - 630 = -4*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 310 and 0.08.\nAnswer: 24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 12, r: 3}. What is prob of picking 2 c and 2 r?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1858*(-7)\/21 + 6\/(-18).\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21540 divided by 6.\nAnswer: -3590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -36*q + 181. Give k(12).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 9*p + 10. Let y be u(8). Let l = 5 + y. Solve -5*g - l = -8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, m: 2, e: 1, z: 13}. Give prob of sequence emze.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/980140 and 51\/12251750?\nAnswer: 24503500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555 + 317 + 928 = -90*r for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1492304019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2760758 and 509894?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -110656.\nAnswer: -110656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6307 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 + 0*n + 2*n**3 - 2*n**2 - 4*n**3 + 10*n - 2*n to the form k + i*n**3 + p*n**2 + t*n**4 + l*n and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/18)*(z\/((z\/(z*z**(-3\/17)*z))\/z))\/z assuming z is positive.\nAnswer: z**(575\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*17 + (-2 - -1). Let v be 10\/45 + (-518)\/(-18). Let b = g + v. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 divided by 79?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24147 - -24157. What is the nearest to -2\/13 in -2, 1, b, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + 65. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 1. Let f(h) = 8*h + 10. Let k(o) = f(o) + 6*w(o). Let t be 10\/4*(-102)\/(-85). Determine k(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -20*n**3\/3 + 8*n**2 - n. Let z be (-720)\/135 - 1\/(-3). What is the remainder when r(z) is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16789 - -16790.08. Is o not equal to 0.64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*u - 8. Let y = 95 + -67. Calculate the remainder when y is divided by 8 + (-1)\/u + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + sqrt(3) + -2 + -1.\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -2\/11 (c) 140\/3 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -0.2, 11 in increasing order.\nAnswer: -1, -0.2, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16282225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1127 and 102851.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15226?\nAnswer: 2, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**2 - 5 + 2*w - 4*w**3 - w**2 + 3*w**3. Suppose -3*h + 22 = -5*o - 10, h = -o. Let t be k(h). What is the highest common factor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, f: 3, h: 1}. What is prob of picking 1 f and 2 c?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 - (3 - 1)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19358 + 19361. Solve -4*q = 5*s - 2, n*q = s - 3*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-693)\/112 + 6)*44\/(-33)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 62.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 8. Suppose 8 = 2*j, -5*j - 31 = -3*m - c. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3040\/4133 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1003.\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -1) + 3 - -2. Let u be -10*(5 + (-62)\/10). Suppose 0 = u*c + 8 + 28. Put a, c, 2, 19 in descending order.\nAnswer: 19, 2, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 183*t. Let z(s) = -905*s**2. What is z(x(c))?\nAnswer: -30307545*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of ((-2013)\/6 + -2)*(-1 - 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30486487 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.22684, 0.2, -0.5?\nAnswer: 1.22684","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(0 - 16\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(1573) + -5) - (-3 + 5 + sqrt(1573) + 1).\nAnswer: -121*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 123*y**2 - 772*y + 2. Give n(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*u - 112, 3*u = 3*j - 74 - 40. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15204 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*k - 12 - 2, -2*q + 3*k = -14. Suppose 9 = 4*s - q. What is the lowest common multiple of 6 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -163 + (114 - 38)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - -3 - ((10 - (4 + -1)) + (-1 - -3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43 + -10 + -4 + 7 and 162?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*u + 45 = 138*u. Let f = 2 - -3. Solve -2*g + u + f = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2641394 or -13206967\/5?\nAnswer: -2641394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = n + 3*v, n + v + v = 0. What is the second derivative of 4*c - 7*c + 2*c**5 - n + 2 wrt c?\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -8 + 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = v - 5*v - 4*q, -158 = 4*v + 2*q. Let z = 14 - v. Let r be 2\/(-8) - z\/(-12). Solve -5*o - 3*y = -4 - 7, -r*o - 2*y = -8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2. Let x be n(4). Let h(j) = 19*j**3 + 110*j**2 + 19*j + 76. Let g(q) = 5*q**3 + 28*q**2 + 5*q + 19. Let t(w) = -23*g(w) + 6*h(w). Calculate t(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2212 + 131?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -29*w**2 + 427*w + 12. Is 26 a factor of p(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295837 is divided by 98590?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3\/8*z**2 - 27\/8*z + 0 = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1333)\/62*3*6\/(-9)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13\/1 + (-11760)\/912\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/4)\/((-12)\/32). Factor -8\/3 - x*r**2 + 8\/3*r.\nAnswer: -2*(r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 - 6*u. Let k(w) = 4*w**2 - 6*w + 1. Let x(n) = 2*k(n) - 3*y(n). Let j be x(5). What is the highest common divisor of 49 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/(-130))\/((-51)\/(-12))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 0 = -5*b + 15*w - 25, -5*w + 23 = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 754 + 48*d**2 - 378 - 376 to the form c + y*d + x*d**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 + 17108*p - 1128039\/2.\nAnswer: -(p - 34183)*(p - 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2479)\/1480*-20)\/(7*3\/42)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n + 60 = 19*n. What is the third derivative of -n + 11*x**3 + 30 + 10*x**2 wrt x?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876316?\nAnswer: 2, 13, 36083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 11541?\nAnswer: 11534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770\/(-472)*1\/((-3)\/(-8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 1)*(f - f + 4*f).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2082 and 7892862.\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 195, 460, 821, 1272?\nAnswer: 1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - 8\/3*42\/(-448)*-24. Let p(z) = -12*z**3 - z**2 - 2*z + 2. Calculate p(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 428 + -427. Are 42 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.58622 - 0.04922. Round z to one dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 2*c + 2, -5*c = -0*c - 5*y - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303184198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 135 = 5*h - y, 2*h + 5*y - 77 = 0. What is the lowest common multiple of 0\/(-12) - -2 - -1 and 30\/h + (-6)\/39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b2d (base 14) to base 13\nAnswer: -3662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Suppose 3 = 3*t - y. What are the prime factors of t\/5 - (-54)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 1840 + 8180. Let v be ((-1)\/5)\/((-8)\/r). Let s = v - -82. Calculate the common denominator of s and 91\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w + 139. Give z(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33382655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29645373?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - -2)\/(4\/6). Let n be 2\/11 - 300\/(-44). Solve -n = 5*h - 2*z + 13, g = -3*h + 2*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-6))\/((-288)\/160).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 83355 - 25276 = 0. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**3 - 21*z**2 + 7*z - 27. Let p(t) = 3*t**3 - 10*t**2 + 3*t - 13. Let x(c) = 2*j(c) - 5*p(c). Let k be x(8). Solve k*l - 8*l = 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/822 and 40\/40047?\nAnswer: 10972878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 527288*h - 4303337 wrt h.\nAnswer: 527288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20461 and 0.6.\nAnswer: -12276.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0 = 5*z + 24, -5*x = -4*z - 21. Let n = -45 - -36. Let g = -13 - n. What is the nearest to x in -2\/3, g, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-52))\/(200\/8450*65).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 816 and 526.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 + 0*x**3 + 0*x**3 + (-2*x**3 + x - x)*(x - 4*x + x) + 30*x**4 + 285*x**4 + 357*x**4.\nAnswer: 677*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 180391457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r + 22 - 11*r + 6*r. Let o be t(-32). What is the second smallest value in o, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26778010 = 3*d - 2*g, -12 - 13 = -5*g. What is d rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 w, 1 x, and 1 d when four letters picked without replacement from {d: 6, v: 3, x: 3, m: 1, w: 1, h: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10384475 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*t - 76, 0 = 2*t + 4*d - 0*d - 64. Suppose -3*v = -4*v - 5*b + 22, t = v + 4*b. Calculate the greatest common factor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 35*c**2 - 38*c + 470. What is the remainder when s(34) is divided by 209?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1, -5096 in descending order.\nAnswer: 2, 1, -5, -5096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 613026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 7*w + 73. Let z(y) = -y**2 - 6*y + 77. Determine 4*b(s) - 5*z(s).\nAnswer: s**2 + 2*s - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -926*m**3*o**3*y**2 - 47*m**2*o + 3*m**2*y**2 - m*o**3*y**2 wrt m.\nAnswer: -5556*o**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4556 and 639852613?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-7) + (-10 - (-23 - -11)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (4 - 8)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40432 divided by -5776?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 5743.\nAnswer: 11486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-60))\/(1\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12386676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 511931585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3804123, -7608250, -11412379, -15216510?\nAnswer: -19020643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/1 + (-136)\/34. What is the second biggest value in -1\/4, v, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*a = 9*r - 20, 0 = 5*a - 25 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 71*q**2 + q + 2. Let l be f(-1). Let d = 40 - l. Let a = d + 39. 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: Does 84 divide 27428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 917969613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 5*p - 2. Is 8 a factor of y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34679 - 168647 - 47451 = 15297*u + 109224 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120712 is divided by 354?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 5*n + 2*n - 10591*n**3.\nAnswer: -10591*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from kjkjlklljjlkkjlkjldl?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1409457 (b) 0 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 9*t + 20. Let j(v) = -v**2 + 4*v + 14. Let f be j(5). Does 10 divide r(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079497 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 4*m - 14 = -2*m, 2*p + 5*m - 5 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c + 2622 = 662. What is the least common multiple of c and 44?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, p: 1, c: 1, z: 1, w: 1}. Give prob of picking 1 w, 1 p, 1 c, and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-12))\/((-2)\/(-160)). Let d be (-2120)\/36 + 31\/(-279). Does a = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/2725 and 64\/15?\nAnswer: 8175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007790143 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)\/m**(19\/2)*(m**(6\/11))**(2\/15) assuming m is positive.\nAnswer: m**(-1257\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51466267 to 4 decimal places.\nAnswer: -0.5147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 6*a**2 + 2*a + 6. Calculate b(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120202021001010 (base 3) to base 11.\nAnswer: -47a78a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -3. Let t = a + 4. Let w be (6 + (-24)\/5)\/(-1 - -3). Sort t, w, -4 in decreasing order.\nAnswer: w, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 240 = 5*p, 0 = 2*s + 2*s - 5*p + 935. Calculate the common denominator of 64\/27 and ((-117)\/(-390))\/((-36)\/s).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + 1.56. Sort -0.1, v, -0.2 in decreasing order.\nAnswer: -0.1, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/7))**12 assuming c is positive.\nAnswer: c**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 x when three letters picked without replacement from {c: 6, x: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10*p = 66. Suppose 8*f + 12 = p*f. Suppose 3*x + x = -5*d + 333, f*x = 3*d - 219. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 8:29 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3\/5 + 14*a**2\/5 + 4*a - 32\/5 = 0.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2206004510 rounded to the nearest one million?\nAnswer: -2206000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 122765639 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 232. Calculate the remainder when q(-49) is divided by 59.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032221158 rounded to three dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0, 1, 2.5, -0.1?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54207 (base 9) in base 12?\nAnswer: 1892a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 8:25 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*m + 24, -3*m + m + 4*y + 22 = 0. Suppose -5*g + m*w + 279 = w, 0 = -3*g - 2*w + 185. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -184107*j**2. Let z(g) = 67*g**2. Calculate z(c(w)).\nAnswer: 2270990959083*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 - 3*w**2 + 3*w**2 + (1 - 2*w - 1)*(-1 - 2*w + 1) + 0*w**2 + w**2 + 4*w**2 + (3*w - 5*w + 4*w)*(-7 - 2*w + 7).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33503 > 35322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2608*b**2*f*u**2 + 5*b - 5*f*u + 2*u**2 wrt b.\nAnswer: -5216*f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three halves of a centimeter?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 9*w**2 - 8*w + 4. Let y be 3*4*(-6)\/9. Let p be o(y). Calculate the common denominator of ((-4)\/(-24))\/(p\/558) and -49\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -1)*(-3)\/(-6). Let f(s) = -66*s - 1. Is f(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1189 + -0.0927. Let o = -0.0158 - s. Let n = -0.042 - o. What is the closest to -2 in -4, n, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) 0.1 (b) 0.12 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 40*k**4 + 3*k**3 - 40*k**2 - 13*k - 5. Let v(o) = 100*o**4 + 8*o**3 - 100*o**2 - 32*o - 12. Let i(t) = 12*u(t) - 5*v(t). Let i(g) = 0. Calculate g.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**3 + 193*t**2 + 123*t + 468. Give k(65).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 times 3064?\nAnswer: -582.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 + (-310)\/(-7). Let x = a + -26. Suppose 2*i - 6 = -3*z + 34, 4*z + i - 60 = 0. What is the least common multiple of z and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*7\/168*-34*3\/12*-12?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*(sqrt(55)\/sqrt(5) + -4)**2.\nAnswer: -8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 128. What are the prime factors of h?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 + 10*v)*(20*v**2 + 24*v**2 - 32*v**2) as w*v**3 + y + c*v + d*v**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 11827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*p**3*x**2 - p**3 - 8*p**2 - 2*p*x + p + 17*x**2 - 2*x wrt p.\nAnswer: 144*p*x**2 - 6*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -1\/6, 4, -39\/11, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -475 and -6.516.\nAnswer: 3095.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*w**2)*(31 - 14 + 53) to z*w + b + m*w**2 and give m.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -136880?\nAnswer: -136875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*j - 15 = 43*j. Suppose 4*g + 3*r + 14 = -0*g, 5*g + r = -12. Put 9, j, g in decreasing order.\nAnswer: 9, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 703, 717, 731, 745, 759?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 0*a + 7. Let w be a*(-8 - (3 + -5)). Suppose 2*i - 13 = -4*d + 5, -d + 4 = i. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - 2*p**2 - 2*p. Let l be m(2). Suppose 4 - 24 = -l*k. Solve 0*c + 5*c - k = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2218293087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 10*b + 40. Suppose 2*p + b = 7*p. Solve -3*y + 2*k = -5, 0 = -3*y - k - p*k + 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 0 + r**2 - 2*r - 13\/6*r**3. Does 9 divide f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29984.\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -0.33 (c) 3 (d) 35 (e) 1\/2 (f) 3116\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330.4 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 156.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 457, 88, 5 in decreasing order.\nAnswer: 457, 88, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 - (259\/(-4))\/7. Suppose -5*c + b + 7 = -4*p, 13 = 5*p + 2*c. Solve 3*s - 2*s = -p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23625 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/(sqrt(12)\/sqrt(2)) - sqrt(15))\/sqrt(5) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(15)\/sqrt(5)) + sqrt(17))**2*3 - (2*sqrt(4131))\/sqrt(3).\nAnswer: -18*sqrt(17) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r. Let b(u) = 3*u**2 + 2*u**2 - 4*u - 15*u**2 + 5*u**2. What is b(t) - 4*s(t)?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25543*g + 12773*g + 12778*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)*l**9*l*l)**31*(l\/l**2*l*l\/l**(-4\/11))\/(l**(-2)\/l**1) assuming l is positive.\nAnswer: l**(1753\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 35*s + 492. Calculate u(-9).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 12*y - 17*y)*(-4*y**4 + 0*y**4 + y**4) - 5*y**5 - 5*y**5 + 2*y**5.\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -2, 2 in ascending order.\nAnswer: -2, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-14)*(-4)\/32. Put -0.5, -25, v, -0.3 in ascending order.\nAnswer: -25, -0.5, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 3*i. Suppose -q = -i*q - 77. What are the prime factors of q?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 8. Let k be 18\/(-1)*(-22 - -25). Calculate the common denominator of -79\/6 and (-3576)\/64*m\/k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000051938416 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*i*n**3 - 2*i*n**2*t**2*v**2 + 16*i*n**2*v**2 - i*t*v - n**3*t**2*v - 15*n**3*t*v**2 + 5*n**2*v**2 wrt n?\nAnswer: -48*i - 6*t**2*v - 90*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75351\/44 or -1713?\nAnswer: -1713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -0.36. Let y be 10*4\/32*4. Which is the second biggest value? (a) y (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -807147*s - 431083 wrt s?\nAnswer: -807147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 47*k**4\/24 - 804*k**2. Let p(l) = -l. Let a(y) = y. Let z(b) = 2*a(b) + 3*p(b). What is z(w(h))?\nAnswer: -47*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*s**5 + 3637*s**4 - 7*s**3 + 14325506*s**2.\nAnswer: -3660*s**2 + 87288*s - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1080, -2147, -3214, -4281, -5348, -6415?\n\"Answer: -1067*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075*u = 1075*u - 2*y + 1 + 9, 12 = -u + 3*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 12. Let j be z(6). What is the derivative of 30*t - j - 7*t**4 - 30*t wrt t?\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 222923222*d + 674370095?\nAnswer: 222923222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-21) + 95\/35 + -3. Let m be (-145)\/(-25) - h\/5. Solve 4*r + 11 = 5*t, -m = -t - 2*t + 3*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/3, 1\/52, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 53 = -2*z, z + l - 19 = 2*l. What is the second derivative of 0*f**2 - 2 - 5*f**2 + 2 - z*f wrt f?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*q - 88 = 0, -2*k = 2*k + 5*q - 179. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, j: 2, i: 5}. What is prob of picking 1 b and 3 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = 2. Let s(n) = n**2 - 4. Let l be s(u). What is the second derivative of l*a + 2*a**4 + 0*a + 2*a**4 - 2*a**4 wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.346315km to centimeters.\nAnswer: 34631.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, -42, -117?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from ooowwoo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 10*f**2 + 50*f + 467. Calculate p(-9).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-three eighths of a microgram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**4 - 2980*p**3 - 55185*p**2 - 46220*p + 104380 = 0.\nAnswer: -17, -2, 1, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, 1574, 3339, 5104, 6869?\nAnswer: 8634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 54996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1424 * 3499.1\nAnswer: 498.27184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 = -18*n + 43 + 81 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-14 + 1 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -37. Suppose t + 2*t + 13 = f, -37 = -f - g*t. Suppose 405 = 5*s + f. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 20*o - 20. Suppose -u = -2*u + 2*w - 5, -o*u = -5*w + 5. Solve 2*v + u*c = 5*c - 6, -3 = v - 5*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**3 + 306*f**2 + 12702*f + 74606 = 0.\nAnswer: -73, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4 - 1 + 2*d**2 + 2*d + 0 + 2. Give s(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22803286?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2. Suppose 0 = 4*l - 2 + 14. Let k(f) = -4*f**2 + f - 3. Suppose 318*j - i - 1 = 317*j, 2*j = -3*i - 8. Calculate j*k(w) + l*m(w).\nAnswer: w**2 - w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**3 - 12*n**2 + 7*n - 37. Let c(w) = 4*w**3 - 7*w**2 + 4*w - 22. Let k(d) = -9*c(d) + 5*z(d). What is k(5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 207394.\nAnswer: 2073940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.4 (b) 0.5 (c) -249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*n + 4 = 0, 13*x + 16*n = 11*x - 36 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1443705.3 months?\nAnswer: 120.308775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 81398963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/12 - 5*a**3\/3 + 11*a**2\/2 + 75*a. What is d(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 3*n + 1. Let c(a) = a - 1. Give -3*c(m) - d(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3 + 78*j**2 - 79*j = 0 for j.\nAnswer: -79, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l + 0*l - 19 - 18*l**2 - 4*l + 16 in the form t + f*l + q*l**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 3 - g + 1 + 13. What is the remainder when 33 is divided by q(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987148247?\nAnswer: 23, 499, 86011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + (sqrt(1900)*2*5 - sqrt(1900)))*-4.\nAnswer: -400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -0.4, 639, 1\/2, 65 in ascending order.\nAnswer: -0.4, 1\/2, 19, 65, 639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 30 = 8*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/20 and -91\/152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 6*l - 2*l = 0. Let x(m) = 2*m**2 + 4*m - 5. Let r be x(-5). Solve -5*v + l*v = -r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 31.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -963811\/8 - -118863. Let c = 1601 + b. Let t = -248\/5 + 479\/15. Calculate the common denominator of t and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1555, -1569, -1583, -1597?\nAnswer: -1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (16\/36)\/((-2546)\/469737)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21120211 (base 3) in base 6?\nAnswer: 41334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h + 3*h - 3 + 1)*(250 - 79 - 56) in the form s*h + f and give s.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -1\/14, -1, 203?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a - 5*a)*(-14*a - 9 + 9) + 3*a**2 - a**2 - a**2 + 2 - 2*a + 2*a**2 + 2*a.\nAnswer: 59*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 800.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 11:51 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175 - -878\/5. What is the closest to 0 in n, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 18*w**2 + 1115*w - 43. What is the remainder when n(-62) is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*j = 746 + 1140 + 3226 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*g - 75*g - 565 = 1507 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 21*t - 76 = -4*c - 7*t, -3*t = 11 + 1 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2842 - 99458\/35. Let r = -1\/7 + d. Let p = -1.2 - -1. Which is the second biggest value? (a) -1 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2. Let f(v) = 877502*v - 1754999*v - 271*v**2 - 5 - 172*v**2 + 877498*v. What is f(p(t))?\nAnswer: -1772*t**4 + 2*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.041, -1, 0.1, 4 in descending order.\nAnswer: 4, 0.1, -0.041, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2131138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 403 - 2442123?\nAnswer: -2441220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 34*h**2 - 32*h + 1163. Calculate g(34).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(88)*-4)\/sqrt(8))**2 + 6*(sqrt(396) + -1))*-1.\nAnswer: -698 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 394299321 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25356 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4014405 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**8\/4200 - u**7\/420 - 2*u**6\/225 - u**5\/75 + 134*u**3\/3 - 105. Let i(z) be the third derivative of r(z). Factor i(d).\nAnswer: -2*d*(d + 1)*(d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -9, 2\/15, -0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21)\/(42\/4))\/(2\/12))\/((-6)\/(-20)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - j - 170832 = -171340 for j.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*((-2)\/(-8) - 1). Let d be (-2)\/(-4) - n\/(-2). Suppose -d*b - 2*b = -36. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5268, -5286, -5304, -5322, -5340, -5358?\n\"Answer: -18*y - 5250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17\/4 + 23\/4. Let b(s) be the second derivative of 0*s**3 - 1\/4*s**4 + 0 - 2*s + c*s**2. Find the first derivative of b(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6200 divided by 94?\nAnswer: 3100\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*y - 139*y - 133*y - 79*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.6*-7.4054\nAnswer: 19.25404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 2\/408353?\nAnswer: 2\/408353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 498232 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/4 + 7\/(-14). Suppose z + 8 = -m*z. Let n(l) = -l**2 + 0*l + 2 + 0*l. Give n(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, -153, -296, -455, -636?\n\"Answer: -j**3 + j**2 - 129*j + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -92 (b) 142 (c) -3\/2 (d) 71\/3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - k)*(1 + 2 - 7) - 3*k + 2*k + 0*k + k - 5 + 5 + (-6*k + k + 4*k)*(3 - 3 - 1) + 2*k + k - 5*k + 2*k - k - 2*k + 2*k - k + 3*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (600378\/(-564))\/(3\/(-3858)*1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1026217 divided by -23.\nAnswer: 1026217\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2388 + 6747 = 68*a + 1707 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19391 - -5158009\/266. Which is the third biggest value? (a) 2\/7 (b) t (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 55. Let g = -601\/46 - -13. Is p > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 5104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 319422005 to the power of 1\/3, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 333, -1, 1, -3\/56, -4\/9 in decreasing order.\nAnswer: 333, 1, -3\/56, -4\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7)*p)\/p**4*(p*(p\/p**(-3\/5))\/p)\/p**(8\/9))**47 assuming p is positive.\nAnswer: p**(-19646\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 573136 to the power of 1\/2, to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + v**3 + 2*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2615776 and 5024.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1143*n - 1050*n + 279. Which is the smallest value? (a) 8 (b) 3.3 (c) -2 (d) n (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7 = -4*w, -w = -2*u - 0*w + 8. Let o(h) = 2 - 6*h - 1 + 3 + u*h**2. Let m be o(4). Calculate the highest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6180, -12359, -18538, -24717?\nAnswer: -30896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56719884 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*m + 36*m - 14. Solve -5*j - 1 - m = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-15686)\/7130)\/((-48)\/(-10)))\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4310161774 to the nearest integer?\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3802667 is divided by 492?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1096*b - 425. Let j be l(-5). Suppose 6*m = j + 3033. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1))\/c)\/((((c\/(c**(1\/4)\/c))\/c)\/c)\/c*c)*c**(-6)*c**(-1\/2)\/c)**33 assuming c is positive.\nAnswer: c**(-1089\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11725864, 11725866, 11725868, 11725870?\nAnswer: 11725872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a02 - -119?\nAnswer: 1b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 6*i. Let w be r(5). Determine j so that 2*j**5 - 5*j**2 + 84*j + 32*j**4 - 5*j**5 - 72 - j**5 - 80*j**3 + w*j**2 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4634082 - 22503225 = -93*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -552812\/33 - -16754. Let r = -27\/11 + l. Which is the fourth biggest value? (a) 25 (b) 3 (c) 1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*d - 8. Let k be (d + 0)\/(-45)*-2. Let a = 59\/35 + -9\/7. What is the second biggest value in k, 0.1, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136761*y**3 + 93266*y**3 + 718671*y**3 + 189739*y**3.\nAnswer: 864915*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 - -1190\/9. What is the nearest to 0.1 in w, 2\/7, 4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-eight fifths of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 851, 0.07, -2, 4, 1\/3, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from {z: 1, c: 1, k: 2, a: 1, o: 1, m: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-161)\/69*((-48)\/(-14))\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r = 342 - 34 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/28 and -61\/1112?\nAnswer: 7784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/72 - (-8086)\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa72 (base 11) to base 4.\nAnswer: 13020320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330 is divided by 1318?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = b - 25, 12 = -0*l - 4*l. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 6*k**2 + 6*k + 2. Let u be n(-4). Solve -3*s = 2*s + u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -819 - -2903. Suppose -2*d + 4*y + o = 0, 4*y + 20 = 36. Is 50 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(4\/3)*z*z)\/(z**(-4)*z)*(z**(2\/5)*z)**(-21))\/((((z\/(z**(-3\/8)*z*z))\/z*z)\/z**(4\/5))\/((z**(-1)\/z)\/z*z)**(-1\/27)) assuming z is positive.\nAnswer: z**(-22213\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 59723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 + 14*n**2 - 8*n + 3. Let y(q) = q**3 + 9*q**2 - 5*q + 2. Give -5*a(x) + 8*y(x).\nAnswer: -2*x**3 + 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17965757 is divided by 182.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*((3 - 3 + 1)*(-3*f + 0*f - f) + 2*f + 0*f - f + (-3*f + f + 3*f)*(2 - 3 + 3)) + (-3 + 1 + 7)*(f + 4*f - 3*f) + f + 7*f - 7*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**6\/160 + z**4\/8 - 9*z**2. Find c such that x(c) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from abbarbvvararvaa.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peeeeeepvteeeppevpe. What is prob of sequence pep?\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49698050 divided by 5.\nAnswer: 9939610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149329\/1717 - 1478\/17. What is the biggest value in -2, g, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 28*v**2 + 2*v - 2. Let q be w(1). Suppose -u + 11 = 6. Solve -q = -u*z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/3764 and -23\/50814?\nAnswer: 101628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/3, -8, 3\/49, -1, -1.29?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**3\/12 - 71*n**2\/2 + 285*n\/4 - 3002. Solve s(v) = 0 for v.\nAnswer: -285, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 0.1, -0.87?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(5))**2*-3 + (sqrt(500)*1)**2 + sqrt(500))*-2.\nAnswer: -964 - 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 p when three letters picked without replacement from sshppphssshhhp.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1476792 divided by -72.\nAnswer: 20511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 13*b**2\/2 + 57*b + 30. Let z be x(-4). Solve a - 3*a + 3*v = -z, -a - 1 = 2*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 62*m**4 - 6*m**2 - 4*m + 88. Let c(p) = -122*p**4 + 13*p**2 + 9*p - 177. Let f(b) = 6*c(b) + 13*q(b). What is the second derivative of f(j) wrt j?\nAnswer: 888*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*d - 224*d + 1135*d - 249*d - 239*d - 239*d.\nAnswer: -39*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + (sqrt(800)*-3 - sqrt(32)))**2 + sqrt(32).\nAnswer: 4*sqrt(2) + 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/244 and 35\/52.\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 794, 1582, 2370, 3158, 3946, 4734?\n\"Answer: 788*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5030387 divided by 18?\nAnswer: -5030387\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u - 1 + 37. What are the prime factors of (-49)\/(-3 - u) + 954?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 154*m*n**3 - 544*m*n**2 wrt n.\nAnswer: 924*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -23. Suppose 0 = -0*d - a*d + 18. Calculate the remainder when d is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 + 11 + (-1)\/1. Let d = -3 + j. Let q be 2\/(-6) - 1\/d. Solve -6*g + g - 20 = q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 40 = -0*l - 2*l, 4*l - 2*d = 50. Let r be -1 + l*2\/16. Let q = -0.06 + 2.06. Which is the third biggest value? (a) r (b) q (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqssfqqqql. Give prob of picking 1 f and 1 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.25 + 0.25. Let m = 13 + r. Put m, 4, 0.1 in ascending order.\nAnswer: 0.1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2966 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1\/18*-2). Let a be (0 - 1)\/(3\/y). Let d be (-2*3)\/(-1) - a. Solve 0 = g - d*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 - p**2 - 16*p - 5*p - p - 5. Let y be z(-5). Find the common denominator of 1 - (237\/165 + 1\/y) and 3\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 88 - -4 - (-83 - -71)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1762472*d. Let n(m) = 3*m. What is f(n(x))?\nAnswer: 5287416*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 127, 304, 553, 874?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55482.\nAnswer: 2, 3, 7, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1220050 (base 8) to base 4\nAnswer: 1102000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, 40, 104, 184, 274, 368, 460?\n\"Answer: -o**3 + 17*o**2 - 2*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1249, 2496, 3743, 4990, 6237?\nAnswer: 7484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72e33 (base 15) to base 8.\nAnswer: 1307443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*n - 3*n**2 - 310*n - n**3 + 3*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -945 - -2?\nAnswer: -943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24687783?\nAnswer: 3, 19, 59, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -94, -86, -70, -46, -14?\n\"Answer: 4*d**2 - 4*d - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-46 - 1) + 3 - (-8 + (33 - 18) + -17)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-6)*(-1 + 39\/(-6)). Suppose -n = -4*o + 705. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 14*j - 315. Let d(v) = 6*v - 158. What is 5*d(u) - 2*h(u)?\nAnswer: 2*u - 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -204 - -221. What is the smallest common multiple of a and ((-3)\/(-3))\/(2\/18)?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -68. Calculate the highest common divisor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3482 by -8.\nAnswer: -1741\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026 a factor of 780580541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28799\/(-7432)*(-24)\/3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3*q - 64*p**2*q + 638*q + 1 with respect to p.\nAnswer: 3*p**2*q - 128*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8611, -17177, -25743, -34309?\n\"Answer: -8566*f - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -1055*y**8\/84 + 1621*y**4\/8 + y**2 + 2505. What is the second derivative of h(i) wrt i?\nAnswer: -84400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 49*b**2 + 3*b - 51*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30128 + -29533. Calculate the highest common divisor of x and 1085.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1)*8\/(-16). Suppose -4*s + j*s = -4*v + 3700, 5*v = 4*s + 4629. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 + 7*a**2 - 7*a**2)*((-3*a + 0*a + a)*(1 + 2 - 4) - 2*a + 4*a + 5*a).\nAnswer: 45*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -84*(8082\/126 + -65)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -303*(-16)\/(-1656) - -3. What is the nearest to -2 in f, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6*u - 8 = 0. Let y(k) = k**3 - 2*k**2 - k - 1. Let v be y(3). Solve 2*c - 12 = u*f, f - 6 - v = 4*c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + 2382*c**2 - 2811*c**2 + 4*c**3 to x*c + t + d*c**2 + a*c**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/3)\/(-1))\/(3\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2472300 - 2472300 + 109*c.\nAnswer: 109*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232031312 (base 4) to base 11.\nAnswer: -11a253","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(0 + 3)*-5. Let h = -60 - m. What is the highest common factor of h and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9908020.\nAnswer: 2, 5, 495401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/7 + 39*f\/7 - 38\/7.\nAnswer: -(f - 38)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 - -75. Put b, -60, -5 in decreasing order.\nAnswer: b, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 11:34 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11186 divided by -7?\nAnswer: -1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-2))\/(3\/6). Suppose -l*x - 3*a = -0*x - 308, 62 = x + a. Let q = x - 26. Calculate the remainder when 67 is divided by q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19409, 38796, 58143, 77432, 96645?\nAnswer: 115764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9830 at least as big as 9828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -10*p + 15. Suppose -2 = 4*n + 2*f, -1 = p*n + 4*f + 13. Let s(c) = 0*c - c + 2*c - c**2. Calculate s(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.506 in -4, 2, 1, -639?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, b: 1, o: 2, a: 10, r: 3}. Give prob of picking 1 j, 1 a, and 2 r.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - 3*o**3 + 0*o**3)*(-6 - 5 - 9).\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52179822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Suppose 5*x + 8 = -q. Which is the third smallest value? (a) x (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -660.0721 to 0 decimal places.\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16465396 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 4*h + 286 - 1665, 0 = -4*n + 3*h + 1097. Suppose -g - c + 22 = 0, 3*c = -g + 4 + 12. What is the highest common divisor of g and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at least -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 9. Suppose 18 = n*u + 6. Solve i = -4*k - 1 - 4, 0 = -4*i + u*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 12 = -r - 3*i, -2*i + 2 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5481, -5482, -5483, -5484, -5485, -5486?\n\"Answer: -y - 5480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/2*20\/(-8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j = 2*b - 791, -1221 = -3*b + 4*j. List the prime factors of b.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 532 = -3*o, -10*h + 7*h = 4*o - 747. What is the remainder when h is divided by 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -24*x**2 - 50*x + 1. Let o be h(-2). Solve -o*j + 10 = -10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1818*k**3 + 12*k + 6*k - 1819*k**3.\nAnswer: -k**3 + 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*l - 254*l + 25*l - 16*l - 296*l.\nAnswer: -391*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.0033 + 0.0033. Which is the second smallest value? (a) 3 (b) 0.3 (c) -10 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41909 - 41905. Let m be (-2)\/(-7) + 4\/(-63). Let c be (-1)\/(5\/15)*(-8)\/(-6). What is the closest to c in q, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*j, -j = -4*s + j + 14. Suppose 0 = s*a + a - 6. Find the second derivative of -2 + 3*x**2 + x - 2*x**a + 2 wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -14*q + 242. Let c be j(16). Let a be 3\/8 + 14 + (4 - c). Let 15\/8*o - 3\/4*o**2 - 3\/2*o**3 + 3\/2*o**4 - 3\/4 - a*o**5 = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/44 + 11 + (-609135)\/(-55).\nAnswer: 2, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2537, 2525, 2511, 2495, 2477, 2457?\n\"Answer: -p**2 - 9*p + 2547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*n**3 - 34 - 237*n**3 + 118*n**3 + 34.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.052 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12792*b - 3743*b + 1533*b + 11884*b to a + y*b and give y.\nAnswer: 22466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*(-81)\/135.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 46108\/4261?\nAnswer: 46108\/4261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-630)\/(-16) + (-182)\/((-99008)\/(-204))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28412 and 7.\nAnswer: 198884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/169 + -360\/1859. Put v, 3\/2, -3 in ascending order.\nAnswer: -3, v, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2537 + 944*p - 8904 - 5290 + 443*p with respect to p.\nAnswer: 1387","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20, 21, 22, 23, 24, 25?\n\"Answer: v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -408438152 and -2.107.\nAnswer: -408438154.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3808\/(-49))\/(-16) - 12\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-66)\/4*14\/(-21). Let o(z) = 0 + j*z - 10*z + 0. Let b(q) = -11*q**2. Give o(b(s)).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 224 + 3 + -5 + 5. Let v = 225 - r. Let z(f) = f**2 + 3*f + 1. Calculate z(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 667207885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 10. Let d be k(6). Suppose 0 = 3*x + 4*n + 4, 3*x = d*x - n. Solve -x = -2*a, 6*a = -2*p + a + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19173)\/(-51128) + (-1 - 334\/5)\/(16\/10).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1292 - -2202. Calculate the highest common divisor of c and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7942696?\nAnswer: 2, 31, 32027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (20\/((-12)\/3))\/((-860)\/(-7224))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 12. Let x = -2650\/13 - -204. What is the nearest to 1 in 4, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 1, i: 1, f: 1, v: 1}. Give prob of sequence fb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 4. Let h be o(4). Let z(n) = 6*n**2 + 17*n - 21*n**3 - 27*n**3 + 69*n**3 + 15 - 22*n**3. Does 5 divide z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41394 is divided by 13758?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -173\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22663095 is divided by 3357?\nAnswer: 3345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q + 6 + 20 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4719147 to the power of 1\/2, to the nearest integer?\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 10. Let t(q) = -q**3 + 3*q**2 + 5*q + 1. Let j be t(4). Let u(b) = b**2 - 3*b - 6. Let n be u(j). Solve -n*g - i = -0*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6936\/(-1160) + 6)*-10. Let x = -23 + 24. Is x != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41\/15 + 258\/95. Is w != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298798 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 974 (b) -3 (c) 810 (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6*a - 108. Let z = -22 - a. Differentiate -14*t + z*t + 4*t**4 - 6 wrt t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13081652a - -2?\nAnswer: -130816528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -275*x**2\/3 - 100*x\/3 + 28.\nAnswer: -(5*x - 2)*(55*x + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -19*i + 113. Let s be 6 + 0\/(-6) + 0. Let x be h(s). Put -2, -5, x in decreasing order.\nAnswer: x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/5 + (-6)\/(-15). Let b(g) = 2*g - 3. Let o be b(3). Let 4*d - 4*d**o - 12*d + 2*d**3 + 8*d**s = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -18*u + 43. Let r(i) = 509*i + 33. Let f be r(u). Suppose -o - f = -3*z, o - 3*o = -4*z + 4114. What is z rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 605 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4970\/(-995) - -5)*(-4)\/10. Let g be (-2)\/(-8) - 119\/199. Let j = g + o. What is the common denominator of -7\/8 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + -5 + (-36 - (-49 - -32)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/48)\/(450\/(-72)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvmvmmmfm. Give prob of sequence mmvm.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214102.\nAnswer: 2, 7, 41, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*n - 274 + 274 to m + u*n and give u.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 7*b = -4. Let r(j) = -5*j**2 - 4*j - 4. Let i(f) = -11*f**2 - 5. Let g(n) = 12*n**2 - n + 5. Let c(l) = 5*g(l) + 6*i(l). Give b*c(m) - 5*r(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9354.03 centuries in years?\nAnswer: 935403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 72. Factor 2*r - 11*r**3 - 10 + p*r**2 - 3*r**3 + 13*r - 6*r**3 + 5*r**5.\nAnswer: 5*(r - 1)**3*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3605972 by 106058.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -5*x + 23, -x - 18706 = -18710 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -9. Let r = 1645.9 + -1645. Which is the third smallest value? (a) r (b) s (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1512\/(-1260)*5\/(-3). Solve 2*v + 2 + 2 = 2*o, b*v + 6 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k. Let n(m) = 888 - 888 - m + 15*m + 14*m. What is f(n(c))?\nAnswer: -196*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-2)*21\/(-35)*-15. Let h = r - 7. Let q(v) = 2*v + 2. Determine q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 10. Let i = 4.45 + l. Round i to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72863.2 micrometers in nanometers?\nAnswer: 72863200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, z: 1, m: 1, v: 2, s: 1, y: 1}. Give prob of sequence lmll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y**2 + 11*y**2 - 8*y**2)*(-6*y**3 + y**3 - 2*y**3).\nAnswer: -77*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4370256?\nAnswer: 2, 3, 11, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111264 and 24928?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12744 by -12967.\nAnswer: -12744\/12967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -11 (b) 5 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60449, -60446, -60443, -60440?\n\"Answer: 3*n - 60452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(1900) + -1)*6)**2 - (-2*sqrt(1900) + 5)).\nAnswer: -700*sqrt(19) + 68435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 361848*f*n**3 - 196257*f*n**2 wrt n?\nAnswer: 2171088*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(104))\/sqrt(8) + (sqrt(13)*-3 - sqrt(13))**2 + -5.\nAnswer: -sqrt(13) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 755 - 2246\/3. Let w(g) = -3*g**3 + g**2 + g + 5. Let h be w(0). Let j be h\/15 + 60\/9 + -1. Does v = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92041228709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 16 = 4. Calculate the lowest common multiple of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*m**2 - 3*m**2 - 1893 - 25*m**2 + 1893.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-20 + 6 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8961.8 rounded to the nearest one hundred?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-504)*-9)\/((-26)\/(-14))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 590 + -1 + (-7 - (1 - 13)). Let g = b - 342. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -11*x, -5*x - 4 = 5*n + 5 + 6 - 20 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -6586.4730944 and -115.\nAnswer: -6701.4730944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.941 + 0.059. Let w = -151 - -1357\/9. Which is the nearest to -0.4? (a) m (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734*x**3 - 334*x**3 - 127*x**2 - 39*x**3 + 127*x**2.\nAnswer: 361*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -42872, -77307, -111744, -146183, -180624?\n\"Answer: -i**2 - 34432*i - 8439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 3 (c) 1\/7 (d) -1\/2 (e) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 2)*(0*v + 3*v - 2 - 5*v).\nAnswer: -12*v - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2. Let f(c) be the first derivative of -4*c**3\/3 - 49. Determine b(f(w)).\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47.75 - -0.25. Let i = v - 51. What is the fourth smallest value in i, 5, -0.2, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 2042?\nAnswer: -6126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*m + 8. Let c = m + -2. What is the remainder when 5 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -171*s**3 + 46*s**2 + 49*s + 3. Determine p(-1).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 458?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 144*w**2 + 94*w - 287. What is the units digit of v(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*f - 56 = 398*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500293207*f - 3*f**3 - 500293207*f.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/36)\/((-11)\/33)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4\/9 + 1086716*p**3\/9 + 73808935672*p**2\/9 - 24604065280*p\/3 - 16402227200 = 0. What is p?\nAnswer: -135840, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113039\/215160 + -2\/5379. Find the common denominator of 59\/18 and b.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4905.436kg?\nAnswer: 4905436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/3)\/(3\/(-9)). Let o = -15 + 18. Sort o, -1, z in descending order.\nAnswer: o, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*o**4 + 337*o**3 - o**2 + 12*o + 480 wrt o?\nAnswer: 60*o**2 + 2022*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Let q be -2 + 5 - 1 - -3. Let z(s) = -q*s**2 - 21 + 21. Calculate z(y(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 0 - n**3 - 3*n**4 - 1 + n + 2*n**4. Let s(t) = 5*t**4 + 6*t**3 - 12*t + 6. Let d(g) = -6*h(g) - s(g). What is the second derivative of d(b) wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13941344 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*r + 6. Solve c = 2*p + 11, -c + r = -4*p + 5*p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a + 1. Let g be c(1). Let k(d) = 3*d + 109 - 52 - 62. Let f(x) = 41 - 44 + x + x. What is g*k(j) + 7*f(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 106, 98, 88, 76, 62, 46, 28?\n\"Answer: -h**2 - 5*h + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -263 - -241. Let m = -23.58236 + 1.583. Let r = t - m. What is r rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 280 - 324. What are the prime factors of -1 + o\/(-40)*18*10?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042117449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:31 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**6\/90 + i**5\/20 - i**4\/36 - i**3\/6 - 2*i + 48. Find h, given that x(h) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -61.349646.\nAnswer: -42.9447522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1813163430?\nAnswer: 2, 3, 5, 13, 4649137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -19) + -29 - -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1293 - 1252.95. Let w = j + -40. Which is the nearest to 2\/9? (a) w (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/14))\/(p*p**7*p))**(-46) assuming p is positive.\nAnswer: p**(2553\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -41.2*-0.3\nAnswer: 12.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -570368066 and 12022.8.\nAnswer: -570356043.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.38, 0.3, 11 in decreasing order.\nAnswer: 11, 0.3, -7.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3 - 9*d**2 + 14*d + 24 = 0.\nAnswer: -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 582870 by 291435.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44911 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + 3 + (-1*sqrt(130)*-3)\/(sqrt(10) - (sqrt(10) - sqrt(40)\/sqrt(64)))).\nAnswer: -8 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 109776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3664*d. Let o(f) = -122065*f. Calculate l(o(p)).\nAnswer: -447246160*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**4\/5 + 372*p**3\/5 + 8772*p**2\/5 + 3004*p - 24168\/5 = 0.\nAnswer: -53, -38, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.66? (a) -4 (b) 80 (c) -0.18883\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 5*c + 3. Determine f(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) + 1)*-3) + -4 + 0 + -2 + sqrt(76).\nAnswer: -3 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5000815 is divided by 2500401?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2 = 7. Let g = l + 2. Suppose h = 3*z + 84, -g*z + 3*z + 64 = h. What is h rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 972329.8 + -972330. Let s = 2 - 2.13. Sort i, -3\/16, s.\nAnswer: i, -3\/16, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158 + 121 + 48*d**2 + 159 + 37*d**3 - 438 + 1076*d wrt d?\nAnswer: 222*d + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 83, 149, 233?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 10*n + 11. Suppose -407 - 1966 = 7*o. Let u = 327 + o. Calculate a(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 158 + 485 = 0. Suppose -2*u - d = -2*p + 215, -5*u = 25. List the prime factors of p.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.205875 to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 464266200*-2\nAnswer: -928532400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -49274371836 take away 1073?\nAnswer: -49274372909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28804582 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117808020 = -282*v + 283*v + 5*y, -v - 11*y = 117808044. What is v rounded to the nearest 1000000?\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 10*f + 5*f)*(-f**3 + 1 - 1 + (4*f - 4*f + 2*f**2)*(-2 + 2 - f)).\nAnswer: 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.02 - -0.02. Which is the closest to 1\/2? (a) l (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 + 144. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3678, 1\/6, 3\/4, 5, -14?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + d**2 + d + 1. Let q(r) = 6*r**3 - 6*r**2 - 7*r - 6. Let a(h) = h**3 + 2*h**2 + 2*h - 6. Let c be a(2). Determine c*t(v) + 2*q(v).\nAnswer: -2*v**3 + 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/22 + 890\/66 + -14\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3584)\/24)\/16*(125\/(-2) + 1) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -110265, -216085, -321905, -427725, -533545?\n\"Answer: -105820*g - 4445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 32 - 3*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from eoeoooeooeeeoe?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 9. Suppose -2 = z + 5. Let u = -11 - z. What is the units digit of x(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*i - 20. Let x(y) = 14*y + 12. Let h(f) = 6*f + 5. Let b(o) = 12*h(o) - 5*x(o). Calculate b(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/36 and 1\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.7797 to one decimal place.\nAnswer: 181.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 3, v: 5, m: 1, a: 3}. What is prob of picking 1 m and 2 v?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-140))\/((432\/40)\/(-9))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -20.875. Let t = 5 + z. What is t rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153457.\nAnswer: 153457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 612 + -338. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.325 less than -5606?\nAnswer: -5627.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 7:36 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g - 3*v = -6, -2*g + 6 = 3*v. Suppose g = -8*p + 3*p + 20. Calculate the greatest common factor of 10 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.169 * -1101\nAnswer: 186.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 78 = 72. What is the least common multiple of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -92492790926588?\nAnswer: 92492790926588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + z. Let t(p) = -p**2. Let g(m) = -m**2 - m - 1. Let k(f) = -g(f) - t(f). Let l(d) = -3*k(d) + 5*o(d). What is l(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -5.1. Let b be (8 - (1 + 4))*(-4)\/(-3). Let t be (-3 + b - 3\/(-6))*-2. Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:04 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 2, 1 in decreasing order.\nAnswer: 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 994*c + 83 = 986*c, -30 = -b - b + 4*c for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -14*j**2 + 5*j - 3. Let d(a) = -7*a**2 + 3*a - 2. Let k(y) = 5*d(y) - 3*v(y). Is 6 a factor of k(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11798 or -11807?\nAnswer: -11807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x*x\/(x**3*x*x)))\/x*x*x)**8)**(-10\/3) assuming x is positive.\nAnswer: x**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/155187 and 52\/1913973.\nAnswer: 5741919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8566965 is divided by 30379?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 44\/7 - 280\/(-980)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76629 is divided by 3189?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129369 and 227105049?\nAnswer: 4461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45532*c**2*n**3 + 40027*c*n**3 wrt c?\nAnswer: 91064*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 2:16 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 17. Suppose -5*s + 288 = s. Suppose 3*b - 2*b = s. Calculate the greatest common divisor of b and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1253206 at least -1253208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 4*w = 8*i + 37, 4*i - 32 = 4*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -253 + 339 + c**3 - 102*c**3 wrt c?\nAnswer: -303*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 12:13 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brrl when four letters picked without replacement from {e: 1, b: 1, u: 2, l: 2, r: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -30. Suppose 0 = p - 6*p + l. Solve p*w + 1 = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from 1389.\nAnswer: 1388.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eegggegeeggggggggggg?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1034907, -1033967, -1033027?\nAnswer: -1032087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 781, 1565, 2349, 3133, 3917, 4701?\n\"Answer: 784*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 - 2*k**4 + 0*k**4 + (-3*k + k + 4*k)*(k**2 - k**2 - 2*k**3) + 19*k**4 - 3*k**2 + 4 + 3*k**2.\nAnswer: 12*k**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 30 = 5*n, -n - 8 = -2*p + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, c: 6, j: 10, d: 2}. Give prob of sequence cjcd.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/8)\/(-5)*2\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*z - 2163891 - 252639 = 0. What is the ten thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 - 12)\/((-2)\/8). What is the second derivative of -1 + 6*b + 131*b**f + 0*b - 15*b - 75*b wrt b?\nAnswer: 1572*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((14\/(-56))\/(3\/4))\/1. Sort -3\/2, 2, u, 46 in descending order.\nAnswer: 46, 2, u, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129103793?\nAnswer: 7, 13, 41, 34603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.4, -2\/3, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(3\/(12\/(-8))). Let x = 245\/6 + -41. Is x less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 188 = -1297*z + 1296*z, -2*j + z + 127 = 0 for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z + 0*z - 6*z)*(z**3 + z - z) + 5*z**4 - 5*z**4 - 15*z**4 + (1 - z - 1)*(0*z**3 - 2*z**3 + 4*z**3) as j*z**2 + p*z + i*z**4 + u*z**3 + r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/184 and -157\/252?\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2171*b**4 - 2*b**2 - 690.\nAnswer: -52104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -374, -373, -372, -371, -370?\n\"Answer: o - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 7. Suppose -3*k - 2*b = -0*b + 24, b + 27 = -4*k. Let w be l(k). Which is bigger: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*s + 14812 + 28280. What is the remainder when s is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 + 21 - 68 + 6 - z**2 + 201 + 0*z**2.\nAnswer: -z**2 + 329","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 50*f - 53*f - 12, 8 = -4*f - 2*v. Solve -8*x + 67 - 19 = f for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slz when three letters picked without replacement from {l: 5, z: 3, s: 5, o: 5, k: 2}.\nAnswer: 5\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1196981*s**3 + 2*s**2 - 483984*s - 2 wrt s?\nAnswer: 7181886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2734 - 161*h - 2734)*(-3*h + 0*h + h) - 3*h**2 + 5*h**2 + 0*h**2.\nAnswer: 324*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2847 + 2956. What is the remainder when 1415 is divided by g?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + 4 + -1 + 159 + -178?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = 5*z + 104, -4*z + 16 - 27 = -2*a + 21 + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m + 9. Let t be x(6). Let h be ((-22)\/3)\/(((-8)\/(-3))\/(-4)). Let g = t + h. Solve -2*c = 0, -5*v - g*c + 10 = c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1540345, -3080720, -4621095, -6161470, -7701845?\nAnswer: -9242220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x - 9. Let u be o(11). Calculate the highest common factor of 168 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3089 times -1.8?\nAnswer: -5560.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64896 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 4, 33, 6 in increasing order.\nAnswer: -2, 3, 4, 6, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 - -2.86. Which is the closest to -1\/4? (a) 1 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjf.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4))**(6\/23))**(-1\/31) assuming g is positive.\nAnswer: g**(3\/1426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*i = -50. Solve -2*z + a + i = -2*a, 0 = -5*z - 3*a + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.80711 at most as big as -0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q = -5*t + 18, -3*q = -t + 7. Let c be ((-28)\/q)\/4 + -6. Which is smaller: -5\/51 or c?\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176179795 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -498*p - 3781. What are the prime factors of k(-91)?\nAnswer: 73, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -283404 + 283409. Determine i, given that -12*i**3 + 2 + 14\/3*i**4 + 44\/3*i**2 - 26\/3*i - 2\/3*i**g = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 334, 671, 1010, 1351, 1694, 2039?\n\"Answer: t**2 + 334*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 122.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z + 1. Let i be b(1). Suppose 2*j - 2 = -2*v, -4*v = j - 0*v + 2. Suppose 0 = -3*r - s + 192, -j*s + 192 = i*r - 129. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -286 + 1547. What are the prime factors of c?\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15 = 4*k, -o = 4*k - 9*k - 3. Solve -o*z - 4 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 210748252?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3651569350 a multiple of 7780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-14))\/((-2)\/(-7)). Let z = 0.16 - 0.26. What is the closest to z in 1\/4, -2, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(228) + (-6*sqrt(228)*-3 - sqrt(228)) + sqrt(228)))\/(sqrt(48)\/(2*sqrt(100) - sqrt(4))).\nAnswer: 855*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/60)\/((-3)\/(-14)). Let y = 787\/2690 - -2\/269. Let q = c - y. What is the nearest to 1 in 3, -2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/((-23)\/92)*(-78)\/(-96).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2757c - -3?\nAnswer: -27579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13\/5 - -159\/65. Let u = -7621\/4 + 1895. Let k = -10 - u. Which is the nearest to 1? (a) -0.1 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14620256 and -6929656.\nAnswer: -21549912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 1\/8, -2\/11?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(-22) - (-506)\/4. Let l = h - 65. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**5\/5 - 3*f**4\/4 - 2*f**3\/3 + 1. Suppose h(b) = 0. Calculate b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 4*a - 3. Let q be l(3). Let r(u) = -u**3 + q*u**3 + 2*u + u + 2*u**2. Calculate r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(45\/(-40)) + -2. Solve -x*l = -5*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/253 and 63\/115.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = j + 13, -5*j = -3*w + 4*w + 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -24\/5*z + 66 + 13\/5*z**2 + 8\/15*z**3. Solve h(m) = 0.\nAnswer: -4, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1830771, 7323105, 16476987, 29292411, 45769371, 65907861, 89707875, 117169407?\n\"Answer: -i**3 + 1830780*i**2 + i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 4*p + p + 11 = 0, 41*p - 43*p = 4 - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -193514\/59 - -3280. Let l = c - -135\/413. Solve l*m**2 + 3\/7 + 6\/7*m = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4121 = 5*i + 3*b - 9372, 1 = b. Does 69 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171604 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 85, -3, 0, -5 in ascending order.\nAnswer: -5, -3, 0, 2, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 7. Let a = -434 - -430. Let k(q) = 6*q + 8. Let i(y) = a*n(y) - 3*k(y). Differentiate i(c) with respect to c.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 - -67. Let f be (4 + 11)*((-4)\/(-6))\/m. Solve -2*q = 3*i - 1, 0 = -f*i - 0*i - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*l + 3. Suppose y = l*y. Suppose 4*a + 0*a - 20 = y. Put 0, -3\/7, a in increasing order.\nAnswer: -3\/7, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/8*(-641604)\/(-1263).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/7 or 1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 10423?\nAnswer: -10426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yapy when four letters picked without replacement from jmjjpymamjmyvya.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -117, -12\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.986 - -4.186. Which is the nearest to -0.0246? (a) w (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 325, 744, 1301, 1996, 2829, 3800?\nAnswer: 4909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqeeeqeeeeee. What is prob of picking 2 e and 1 q?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**6\/120 + y**4\/24 - y**3\/6 - y**2. Suppose 5*a - 3*a + 2 = 0. Let o(d) = 3*d**3 + 4*d - 4. Give a*o(w) + 4*p(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.144 + 4.144. Let k = 2.9 + 0.1. Let t = -0.4 - 4.6. What is the closest to w in k, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 313, 393, 473?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-4*(-1 + 3 + sqrt(500)))**2 - (-5 + ((sqrt(500) + sqrt(500)*-4 - sqrt(500) - sqrt(500)) + -1)**2)).\nAnswer: -4431 + 540*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1095)\/52 - (9 - (-9 - -39)).\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62*32\/(-19344)*(-9)\/(-96).\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 + -4) - (2 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8\/77 - -2\/11. Let l = 14132 - 14162. Which is the nearest to m? (a) l (b) 3\/4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20.07 and 150729958.\nAnswer: 150729978.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 204 = -b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -508522.0919 rounded to the nearest 10000?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (125 - 270 - -18).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23910? (a) -10\/3 (b) -4 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16416 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2. Let q(l) = -256138231*l. What is q(r(y))?\nAnswer: -256138231*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:50 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/10)\/(1\/(-5)). Let n be ((-5)\/v)\/((-1)\/(-18)). Suppose -3*l = -0*l - n. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - -31. Let s be 6250*16\/(-4)*i. What is s rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -190dae + 3?\nAnswer: -190dab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -85. Let n(f) = 4*f**2 + 4*f**2 - 5*f + 8*f - 4*f. Let d be n(-1). Calculate the greatest common divisor of d and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9357, 9371, 9409, 9483, 9605, 9787, 10041?\n\"Answer: 2*p**3 + 9355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1537*x - 2819. What is v(3)?\nAnswer: 1792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 54*p**3 - 103*p**2 + 141*p + 223. Let q(m) = 13*m**3 - 26*m**2 + 35*m + 56. Let i(s) = -6*n(s) + 25*q(s). Give i(31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/5)\/((-3)\/(-25)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 355 in 2\/15, 4\/3, 26, 0.3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3162498*a**3 - 4*a**2. Suppose -4*h - 49 + 21 = -4*u, 2*h = u - 9. Let r be i(h). What is r rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20101103 is divided by 1411.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**6\/120 - i**5\/20 - i**4\/6 - i**3\/3 + 2*i**2. Let p = -5 + 9. Let y be j(p). What is the smallest value in y, 3\/4, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 85*k**2 + 262*k - 309. Calculate i(-4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2. Let i(z) be the first derivative of 7*z**3\/3 + 5. Calculate g(i(w)).\nAnswer: -98*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - d = -0*d - 4, -4*d = 5*s - 5. Let u be 3\/((-4 - -5)*s). Calculate the greatest common factor of u and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 623*x + 310*x + 311*x + 133 = 0, 3*h = -2*x + 79 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27632 - -3125. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -3. Let x be 12\/(b + (-33)\/(-12)). Solve -3*l - l + x = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:59 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/3)\/((-1)\/(-3)). Suppose -a*w + 5 = -20. Suppose 4*q = 1 + 15. Solve 7 = q*l - w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/75)\/((-8)\/20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6 - -7)*(157 + -2)\/1 is divided by 79*(1 + 1 + -1).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, u: 16}. What is prob of sequence uuqu?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -22*z + 414. Determine s(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than -3011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 307119 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -150*p + 130. Is j(-5) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*p**2 + 2*p + 396*p**3 - 3*p**2 - 45 - 23 + 3*p**2 + 4 wrt p?\nAnswer: 2376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 + -4.88. Let u be (-1)\/(26 - 0\/(-3)). Let z = 29\/78 + u. Which is the nearest to z? (a) -0.3 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220 less than 8?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 64 = 4*z, 5*z + 5*s = 3*s + 80. Solve 0 = -f + 5*f - z, 3*f - 8 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680390.\nAnswer: 2, 5, 19, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 4598.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**3 - 10*i**3 + 11*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-671)\/61*2\/(-1). Solve 5*z = -2*q + f, 2*q + z - 6*z + 18 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 23*n**2 + 12*n + 33. Determine u(-12).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1444? (a) 0.1 (b) -0.2 (c) -2 (d) 2 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1124*a**3*z**2 + 159*a**2*z**3 - 4176869*z**3 - z with respect to a.\nAnswer: -3372*a**2*z**2 + 318*a*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*u + 504 = -51*u - 58*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297796 is divided by 436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3286 - 294. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4971508 divided by 42.\nAnswer: -2485754\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2.5. Let f = -3.6 + -13. Let t = f - -17. What is the nearest to 0 in -1\/3, t, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 2170 = -2*w. Suppose 0*o + 270 = 4*p - 2*o, -3*o + w = 2*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.6293? (a) 67 (b) -1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**7\/21 + f**4\/6 + f - 3. Let u(l) be the first derivative of t(l). What is the third derivative of u(y) wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 17*w**2 + 2*w + 1. Suppose 2*f + 5 = -3*f. What is the remainder when (348\/(-2))\/(18\/(-6)) - 6\/(-3) is divided by x(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -281.8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o**3 + 56*o**3 - 76*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.77, 5, 1\/8, -2, 2\/15, 833, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + v - 1. Let l(y) = 2*y**3 - y**2. Let g(a) = -k(a) + l(a). Let u(t) = -t**3 + 4*t**2 + 4*t - 2. Give -2*g(q) - u(q).\nAnswer: -q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/60 + 17*f**4\/8 - 24*f**3 + f**2 - 420. Suppose g(d) = 0. Calculate d.\nAnswer: 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -53. Let p = 15 + -11. Let g = -14 - -12. What is the second smallest value in g, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6963666 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z - 23*z - 10*z.\nAnswer: -51*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 37*z - 46 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + -2*((sqrt(288) + 0)*2 + sqrt(288) - sqrt(288)) + 3 + sqrt(288) + 5 + (sqrt(288) - (sqrt(288)*2 + sqrt(288))) + -5)**2.\nAnswer: -480*sqrt(2) + 7216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w + i = 29*w - 7, 14*w - 61 = -5*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.0465g in nanograms?\nAnswer: 79046500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/((r\/(((r*r**(-2\/3))\/r)\/r))\/r))\/(r**(2\/13)\/(r\/(r\/r**(-1\/8))*r)) assuming r is positive.\nAnswer: r**(-2167\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + 17*o**2 - 12*o - 11. What is the remainder when 57 is divided by x(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 12*k**2 - 8*k - 2. Let q(r) = r + 1. Let d(t) = -3*q(t) + u(t). Calculate d(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3120\/(-1404))\/((-5)\/(-3)))\/(3*-2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -433*v**2 + 29 + 433*v**2 - 20 + v**3 - 200*v as c + r*v**2 + l*v + t*v**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n*s**2*w**2 + 2*n*s**2*w - 97*n*s**2 + 2*n*s*w**3 - n*s*w - 2*n*s + 15*s**2*w**2 - 2*w wrt w.\nAnswer: 2*n*s**2 + 12*n*s*w + 30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, 18725, -1.\nAnswer: -1, 5, 13, 18725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0d90 (base 14) in base 9?\nAnswer: -776024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 1. Suppose 12 = 7*l - 9. Let c be t(l). Solve -r - c = -1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612661?\nAnswer: 29, 55609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 118. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -108 + -5a2?\nAnswer: -6aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3)*(0*h + h + 0*h)*(300*h + 300*h - 567*h)*(-h - 4 + 4).\nAnswer: -99*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 20, 13, -8, -49?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4 - 2 + 0 + 3 + (3 + 2 - 3)*(-4 - 3 + 5) + 5402 - 1965 - 2621)*(-1 + 1 + o**3).\nAnswer: 815*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1808 and 3764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2507 = 3*s, 1 = -0*s + s. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -13 + -2 + 7 + -101 + (24 - 25).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-389)\/(245848\/1580))\/(((-2)\/20)\/(-1))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*w - g, 5*w + 9 = -3*g + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 957733 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 0*m - 4 + 3*m**2 + m**3 + 0*m - m. Let c be d(-3). Let i = 12 + -17. What is the third smallest value in c, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + 73 + (4 - (-3 - 5 - -8) - 88).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -250, -494, -738, -982, -1226, -1470?\n\"Answer: -244*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - -6)\/((-3)\/1). Solve h = -5*k + 2*v + 13, k - 3*v - 6 = 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 4:26 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 1. Let v(x) = -6*x - 34. Let j(d) = v(d) + 2*y(d). Is j(-15) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from doldrdn. What is prob of sequence ldo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-12) - 12\/(-16). Suppose -4 = 2*k - 4*c - 2, 5*k - o*c - 11 = 0. Suppose -73 = -0*p - 2*p - k*x, -4*p + x = -111. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 2:21 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10988 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 207*j**2 - 240*j. Let f(y) = -31*y. Give v(f(c)).\nAnswer: 198927*c**2 + 7440*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43b72 + -2a8?\nAnswer: -4414a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4131.322 kilometers in centimeters?\nAnswer: 413132200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -4*y - 99. Suppose 305 = n + 2*u, 268 = n - 2*u - y. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -52. Let o be ((c - -3) + 3)*0. Let t be (1 - 1) + 15*1. Solve 0 + 3 = -l + 4*x, -l - 5*x + t = o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 + 11*r + 302. Is w(0) a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545\/(-9) - ((-50)\/(-630))\/((-235)\/(-1316))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -14*h + 32. Let w be z(2). Suppose 2*c - 4 = -30. Suppose -5*v + 16 = 6. Put c, w, v in decreasing order.\nAnswer: w, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4277 * 5\nAnswer: 21385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1462508350241\/570963104400 - 64\/36600199. Let j = 1\/975 + n. What is the common denominator of j and (-805)\/60 - (-1)\/(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 3337998 = -y + 3337991, 0 = -2*y - 12*i - 14 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from mvivqbwqvwbb.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0 (b) -1 (c) 4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 10*b**2 + 47*b + 97. Let c be x(7). Is c bigger than 267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-23)*t\/(t**17\/t)*t*(t**(-5\/2))**41)**22 assuming t is positive.\nAnswer: t**(-3069)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 57*o**3 + 10*o**2 - 11*o - 6. Let f be s(6). What is f rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262672 divided by -131336?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22a8c4 (base 13) to base 2\nAnswer: -11001000111110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21972\/25560 + 6\/(-5) and -47\/10.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -15471*o - 2. Let x be l(-2). Round x to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*k + 40. Let i be 1*(3\/k + 0)*-9. Suppose 29 = 2*d + i. Solve 4*a + d = 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34066101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2\/5*r**4 + 2\/5*r**2 - 2\/5*r**3 + 0 + 2\/5*r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -234*a**2 - 9594*a + 38. Determine b(-41).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28308 and 6740?\nAnswer: 141540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 o when four letters picked without replacement from {p: 3, y: 1, l: 1, o: 1, d: 6}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-1)\/(-14)*(-413)\/354)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 55277*r**3 + 7386*r**3 - 9.\nAnswer: -47891*r**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/33 - (-4)\/(-18). Are 0.11 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = d - 133 - 226, 2*j - 2*d = 226. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*u + 46 - 110 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 697 + -707. Suppose 0*n - 2 = -2*n. Sort -2\/19, -2\/15, n, h in ascending order.\nAnswer: h, -2\/15, -2\/19, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -294*o + 280. What is the hundreds digit of z(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2773 divided by 59?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1136 - 1162) + 4 + 106 + -7?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585243 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**4 + 336*u**3 + 9300*u**2 = 0.\nAnswer: -62, -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxwnwwnwdndwx. Give prob of sequence nxdd.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891260 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 255*p**3 - 15*p**2 + 755*p + 510.\nAnswer: 5*(p - 51)*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-1*sqrt(1216))**2 - sqrt(19)) + -5).\nAnswer: -4*sqrt(19) + 4844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169 and 111358.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1863 + -1879. Let q(g) = -g**3 - 15*g**2 + 16*g + 17. Calculate q(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 j when three letters picked without replacement from jjllljllljjl.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-5)\/(-7)) - (11 - 21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 5:06 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 25, 35, 49, 67, 89?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*x = 488*x + 36 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13676 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -103903.2 and -1?\nAnswer: 103903.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 8*q**3 - 5*q + q**3 + q in the form m + t*q**3 + u*q**2 + o*q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 9402 - 9414 = 8*j, -5*u = j + 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 u when four letters picked without replacement from {u: 2, e: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, i: 3}. Give prob of sequence ioo.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - 38*f**2 - 27*f + 33. Let n = 691 - 711. What is the units digit of x(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 184 + -166. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/9 - 586*c**2\/3 + 43600*c - 2661344\/9 = 0. Calculate c.\nAnswer: 7, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -9 + -18 + 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/4 + (-1)\/(-4). Suppose -f = 4*f - v. Which is the third smallest value? (a) 0.6 (b) f (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**4\/4 + 2*v**3 - v**2 + 2*v - 6. Is a(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.128 at least -3\/7841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x**2 - 4086*x + 2035*x + 2051*x.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**3\/3 + 296*x**2\/3 = 0.\nAnswer: 0, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 15*d = -5520. Let u = -375 - d. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**4 + 5*y**4 - 3*y**4 + (-3 + 5 - 5)*(0 - y**2 + 0)*((-2*y - 3 + 3)*(1 - 1 + y) + 0*y**2 + 5*y**2 + y**2).\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 561 + -307. Suppose -5*p = -2*w + 105, 0*w - 5*w + l = -4*p. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**3 - 1370056*a*d**2 - 44751*d**2 wrt a?\nAnswer: 3*a**2 - 1370056*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 + 124. What are the prime factors of u?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1321*m = 2*s + 1318*m - 58009, 3*s - 86961 = -3*m. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 7:55 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1522 (base 8) in base 10?\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5023*c = 890*c + 227315 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 1:35 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6076232 and 736.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 less than -0.27497?\nAnswer: -607.27497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.674 in 0.1, -65\/3, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 4*i**3 - 2*i**3)*(19*i - 35*i - 31*i).\nAnswer: -141*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:03 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592*s - 55*s - 1166*s - 68962 = -131*s for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from {n: 5, y: 11}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/4, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32892 - 14040 = -9*h + 33771. Calculate the remainder when h is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 12:15 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 4. Let n = -0.25 + -0.05. Let x = -2 + 1.9. Which is the third biggest value? (a) n (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let h(f) = 7*f**3 + 2*f**2 + f. Let m be h(-1). Let t be s(m). Let y be ((-96)\/(-10))\/(t\/20). Solve 3*v + 4 = -x - 3, y = 4*x - 3*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 590738 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 2*sqrt(704) + -3 - (-5 + ((2*sqrt(99))\/sqrt(9) - (sqrt(11) - sqrt(88)\/(-1*sqrt(8))))))*4)**2.\nAnswer: 1536*sqrt(11) + 45200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 85, 89, 95, 103, 113?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -133*n - 79. Is m(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13954824 divided by -12.\nAnswer: 1162902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 5, 21, 2, 3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12409 - 136497\/11. Are -24 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -428, -3147, -7688, -14057, -22260?\n\"Answer: -k**3 - 905*k**2 + 3*k + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + l + 5. Let o be x(0). Suppose 5*i - 11 = -4*u + 2, -o*u = -10. Which is smaller: 3\/10 or i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 k, and 1 d when four letters picked without replacement from {k: 1, w: 2, e: 1, d: 1, a: 2, q: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3439 and 854571.938.\nAnswer: 851132.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*n - 2 - 12, 5*s + 10 = 0. Suppose n*y + 84 = -2*b - y, 3*b = -y - 100. Let r be ((-8)\/(-6))\/(b\/(-72)). Solve -r*f + 0 = 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**3 + 5*j**3 + 6*j**4 + 7*j**3 - 10*j**3 + 6 + 2*j to the form b*j + i*j**2 + z*j**3 + r*j**4 + w and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -4 - 0) + 8 - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m**4 + 2*m**4 + 2*m**4)*(4000 + 6560 - 15084) to o + z*m**4 + d*m + j*m**3 + g*m**2 and give z.\nAnswer: 4524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-30) + (-14)\/(-3). Solve 5*b = b - y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((-675)\/18)*1\/1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/60 + l**4\/8 + l**2 - 9. Let m(b) = 2*b**2 + 4*b. Determine -3*d(q) + 2*m(q).\nAnswer: q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 0. Let f = c + -5. Let v = 125 + -1127\/9. Sort v, 0.5, f.\nAnswer: v, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46613792 and 36656.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -401, -4, 5 in decreasing order.\nAnswer: 5, 2, 0, -4, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 11*j**2 - 7*j - 9. Let v be o(9). Suppose 4*l + 3*w - 95 = 0, 0*l + v = 4*l + 2*w. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122763604 to the power of 1\/2, to the nearest integer?\nAnswer: 11080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003618 rounded to 4 dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from {b: 1, f: 2, j: 1, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 217*c - 220*c + 17760. Suppose 7*l = c + 1143. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from bbkb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -17*o**2. Let s(n) = 41*n + 42. Let v(r) = 10*r + 1. Let a(m) = s(m) - 4*v(m). What is z(a(d))?\nAnswer: -17*d**2 - 1292*d - 24548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 69\/(-161) - (-26)\/28. Let p = -0.015 - 1.985. Which is the third biggest value? (a) 2\/5 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 300 = 4*k - 46, 3*k - 242 = 5*g. Is k\/(((-6)\/18)\/((-22)\/6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Let q be 4\/14 + 231\/49. Sort -5, s, q in decreasing order.\nAnswer: q, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 756 and 6032768.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 4*d**2 + d. Let v be p(-4). Let y(k) = k + 7. Let f be y(v). Factor 3*w**2 + 2*w + 5 + w**f - 5.\nAnswer: w*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 4. Let u be c(-6). Let x be 2*u*9\/12. Suppose -s = f + 2*s - 18, -4*f - x*s + 54 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1811 + 1806. Let f(y) = -18*y**2 - 5*y + 5. Let w(x) = -143*x**2 - 39*x + 39. Determine g*w(v) + 39*f(v).\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - 42 - (4 + 0) - (20 + 1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 34, -165, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of (-19065)\/2*4\/(-24)*(41 + -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2. Let x = -60 - -62. Let v(i) be the third derivative of 0*i**3 + 2*i**x + 2\/15*i**5 + 0*i + 0 + 0*i**4. Calculate p(v(a)).\nAnswer: 64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176573 or -22\/17?\nAnswer: -176573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = -p. Let s(u) = u**3 + 7*u**2 + 5*u - 7. What is s(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-9\/4)*t*t\/(t*(t**(2\/29)\/t)\/t))\/(t*t\/(t**(2\/7)\/t)*t)**0)**(-29) assuming t is positive.\nAnswer: t**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 2 = -4*j + t, -3*t = -j - 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2 - (231\/(-1078))\/((-18)\/(-14)))*66\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -955061 divided by -2?\nAnswer: 955061\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14 + 15)\/((-1)\/(-8)). Let z = q - -4. Suppose 3*v = -5*t + 15, 0 = -0*v - 2*v - 4*t + z. Is v greater than -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9*i**2 - 14*i - 3. Let h(p) = -6*p**2 + 9*p + 2. Let g(w) = 5*f(w) + 8*h(w). Calculate g(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-2))\/((-14)\/((-532)\/(-285)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3 - 10324*m**2 + 82800*m - 124272 = 0. What is m?\nAnswer: -2589, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 1 - ((-19 - -2) + -3). Let b be k\/(-42)*(-1 - 0). What is the second smallest value in -4, b, -0.06, 3\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 8*f = 4. Let u be ((-23)\/(-3))\/(f\/(-6)). Let p = u - 14. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64738517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*z - 3, 2*l + 3*z - 15 = 0. Let q(m) = -m**2 + 10. What is the remainder when -2 + 0 + l - -37 is divided by q(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -2\/3*c**3 - 33\/4*c**4 - 128 - 52*c - c**2. Find the second derivative of f(x) wrt x.\nAnswer: -198*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + (-3 - (5 - 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(272))*-2.\nAnswer: -8*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21114352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-50)*-8*((-5)\/(-14))\/((-1)\/6).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105308232?\nAnswer: 2, 3, 191, 22973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*g = 83*g + 14. What is the third derivative of -7*a**3 - a**3 - 2*a**2 + 13*a**4 + 7*a**3 + 3 - 15*a**g wrt a?\nAnswer: 312*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 132, 484, 1040, 1770, 2644?\n\"Answer: -5*i**3 + 132*i**2 - 9*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7464 + 196*k + 7464 as n*k + x and give n.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 19*g**2 + 39*g + 54. Let d be m(-21). Let j = -111 + d. Solve 3*k = 5*k - j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 13*o**2 + 16*o + 4. Let j be m(14). Is ((-14)\/(-8))\/(8\/j) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2\/8 + 11667*c\/8 + 123165\/4 = 0.\nAnswer: -21, 3910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 517978*26.1\nAnswer: 13519225.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 96. Is v a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/7)\/d**2)\/(d**(-2\/3))**(-45) assuming d is positive.\nAnswer: d**(-225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122257 (base 9) to base 13.\nAnswer: -277c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 543 and 11765?\nAnswer: 35295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.305816l?\nAnswer: 6305.816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50.3 and -4?\nAnswer: -201.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine halves of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 5*x**2 + 8*x - 9. Let q be t(6). Suppose 14 = 4*b + 2. What is the second derivative of b*l + 2*l**q + 2*l - 3*l + l wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1141*p + 3*q - 3 = 1145*p, 3*q - 21 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 1445, 4755, 11085, 21413, 36717, 57975?\nAnswer: 86165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24627, 95398, 213349, 378480, 590791, 850282?\nAnswer: 1156953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 9. Suppose y*w = -w + 2680. What is w rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 41*h**2 - 75*h + 35. What is u(39)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1010, -1009, -1008?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 129. Let z(j) = -201*j**2 - 2*j. Calculate z(c(a)).\nAnswer: -804*a**2 - 103712*a - 3344583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from ggghh?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(77) + sqrt(77)*1 + sqrt(77)) - (sqrt(77)*-1*-1 - sqrt(77)))\/(sqrt(189)\/(sqrt(3) + sqrt(3)*1)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 135 = 318295*q - 318300*q, q - 105 = -4*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1220, -4 in descending order.\nAnswer: 5, -4, -1220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)*-1*-3)\/(-4*(sqrt(7) - (sqrt(7) + -1*sqrt(7)))*3)*2)**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.056668us in milliseconds?\nAnswer: 0.005056668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 188 + -187. Let v be ((-10)\/6)\/((-3)\/(-9)). Put -4, v, q, 4 in decreasing order.\nAnswer: 4, q, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 390. Let m(r) = 3217*r. Calculate s(m(u)).\nAnswer: -3217*u + 390","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**3*g**2 - 4*b**3*g + 3928*b**3 - 655679*b**2*g**3 - 6*b**2*g - 58*b*g wrt g?\nAnswer: -8*b**3 - 3934074*b**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -s + 70631, -705*v + s - 42377 = -708*v. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -880 = -3*h + 257. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 1451734?\nAnswer: 81297104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715605 is divided by 767.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 576\/(-28) - 8\/(-14). Is j greater than or equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33705292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 2*k**2 + 8*k**3 + 5*k**2.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 8:42 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31227.54 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14571 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -981, -984, -987, -990, -993, -996?\n\"Answer: -3*t - 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 1. What is the third biggest value in j, -2, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111676 is divided by 4483?\nAnswer: 4375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/23920 and -111\/18400.\nAnswer: 239200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/g**(-1\/4)))**(-13\/3)\/(g**(1\/4))**(1\/3) assuming g is positive.\nAnswer: g**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (44 - (-39 - -60)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(sqrt(75) + (0 + sqrt(75))*2).\nAnswer: -3 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 14 + 17)*(-2 - 3 + 3)*(-3*a + 2*a + 3*a).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3 - 392*p**2 - 4*p + 392 = 0. Calculate p.\nAnswer: -1, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3 - 2009760*u**2 + 336616711071*u - 7404594951666 = 0 for u.\nAnswer: 22, 334949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.37.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.402, 1621, -2?\nAnswer: 1.402","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*h - 145, 5*h - 2*u + 155 = -7*u. Let x = h + 36. Factor -1\/2*d**4 - 1\/2*d**3 + 0 + 1\/2*d**x + 1\/2*d.\nAnswer: -d*(d - 1)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.252 to one dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 12. Suppose 0 = -2*q - 4*l, z*q = 4*q + 4*l. Suppose -4*n - n + 45 = q. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 246, 1444, 4326, 9618, 18046?\n\"Answer: 121*x**3 + 116*x**2 + 3*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, o: 5}. Give prob of picking 4 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9014073 a multiple of 4041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**2 - 103*d - 30. Let h be c(15). Suppose -4*g - 4*x - 4 = 0, -g - 4*x + h = -11. Sort 5, -3, g in increasing order.\nAnswer: g, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20102021020 - -200000?\nAnswer: -20101121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.107486 from 0.1.\nAnswer: -0.007486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229111 is divided by 50?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-123)\/(-12) + (125 - 135). Factor -1\/2*b - 3\/4*b**2 + 0 + 0*b**3 + p*b**4.\nAnswer: b*(b - 2)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**5\/15 - 2140*z**2. Let h(w) = -2*w - 309. Calculate h(c(m)).\nAnswer: 8*m**2 - 309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594569 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkwwppp. Give prob of picking 3 p and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*b = -89*b - 69 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -4, -781294 in descending order.\nAnswer: 1, -4, -5, -781294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -142*b**2 - 26561*b - 1316. Determine u(-187).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.9 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9357997*u**4 + 22*u**2 + 10*u - 8302.\nAnswer: 224591928*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -29*y**2 + 1. Let b be f(-1). Let c be (0 - 6)*(-2)\/b. Let i = -0.737 - -0.837. What is the nearest to -0.1 in -6\/7, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + 22. Suppose 0 = -4*i + v + 81. Solve -5*z = 5*r - i, -4*r + 3*z = -3*r + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) -0.1 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.87 + -1.442. Let d = t - -0.5. Let x = d - -0.07199943. What is x rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8255805574?\nAnswer: 2, 17, 242817811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1243 = a + 10*a. Suppose -5*w + a + 82 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 242? (a) 1115 (b) 0.1 (c) 4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175495, -350987, -526479?\nAnswer: -701971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*n**2 + 445*n**2 - 143*n**2.\nAnswer: 136*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508624410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8416504 rounded to 2 dps?\nAnswer: -3.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -276684 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11910*i + 11881*i = 377 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**2 + 5. Let r(l) = -1 - l**2 - 2 + 5 + 4*l**2. Determine 10*r(z) - 4*s(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*c = 6, -49*g + c = -44*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - 68. Suppose -4*u - p = g, -2*p = 5 - 1. Solve u*a = r - 5*a + 19, 0 = -5*r + 3*a - 29 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*p + 134 = 0, -2*h - p + 68 = -4*h. Let l(u) = u**3 - 6*u**2 - 9. Let j be l(7). Let k = h + j. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*z - 261*z - 2 = 0. Solve -4*y + z*y = 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + o**2 - o. Let z(d) = -3*d**3 - 3*d**2 + 4*d. Let i(l) = -4*a(l) - z(l). What is the third derivative of i(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3778529 and 0.03.\nAnswer: 113355.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7146 + -0.0154. Let i = k - 0.27. Which is the closest to 1\/2? (a) -2 (b) i (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 460?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/15 of a century?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 84?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/21 + 3*12\/(-126). Which is the closest to -2? (a) p (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*u + 1260 = 585*u for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, i: 7, a: 1, e: 3}. Give prob of sequence eii.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 197*i - 298. What is the remainder when 129 is divided by t(2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -622.\nAnswer: -6\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -718 - -721. Calculate the remainder when 8\/12 + -2 + 1294\/l is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 1 - 5 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 620\/(-40) + -23 - (-3)\/(-2)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803833723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/7)*x**(3\/8))\/(x**(-1))**(1\/2))\/(((x*x\/(((x*x\/(x\/(x*x\/x**(-1)))*x)\/x)\/x)*x)\/(x*x*x**(-1\/5)*x))\/(x**6\/x**1)) assuming x is positive.\nAnswer: x**(2749\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*c + 291*c - 139*c + 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-16 + 10) - 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n - 32. Let s = -12 + n. Suppose -4*z + s + 12 = 0. Solve 4*g = z*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-33)\/(-36) + (-3)\/(-36)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147*g*m**3 + 151*g*m**2 - 93*g*m - g - 166*m wrt m?\nAnswer: -882*g*m + 302*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 36*t - 146. Calculate n(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -73*j**2 - 3578*j - 57. Determine s(-49).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + u**2 + 3*u - 12. Give y(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012752786?\nAnswer: 2, 3, 168792131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**3 - q**2 + 10*q - 5. Let d(a) = 3*a**3 + a**2 - 7*a + 3. Let g(r) = 5*c(r) + 7*d(r). Let l(n) be the first derivative of g(n). Factor l(h).\nAnswer: (h + 1)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/b**(-1)*b)\/b)\/b)\/(b*b\/(b*b**(-3\/2)))*(b*((b*b**(-3)\/b)\/b)\/b*b)\/(b**(-2\/7)*b))**26)**2 assuming b is positive.\nAnswer: b**(-1898\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 11:20 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 greater than 40\/7301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -87809, 1 in descending order.\nAnswer: 2, 1, -3, -87809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b\/((b\/(b**(8\/9)*b))\/b))\/b))\/b)**(-2\/79))**(-13\/2) assuming b is positive.\nAnswer: b**(-221\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -273*i + 53. Let y(m) = m**3 - 5*m**2 - 38. Let l be y(6). What is the tens digit of w(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(250\/(-680) - 4\/(-34))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930888610?\nAnswer: 2, 5, 93088861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s + 15. Which is the closest to -0.1? (a) 0.4 (b) -3\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2728323654 to the power of 1\/3, to the nearest integer?\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2 - -4) + -1)\/(-1). Let j be (3\/(-1))\/(3\/p). What are the prime factors of 4 + 5\/(j\/2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -24 + -2 + 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z + 6. Suppose c + 3*c - 52 = 0. Let f be x(c). Calculate the greatest common divisor of 27 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 5. Let m be v(7). Calculate the smallest common multiple of (-1 - -7) + 2 + 0 and (-17 - -15)*(-15 - m).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50 - -60) + 2 + -36.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 23439*r - 328154. Determine c(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**7*(c\/(c*c\/(c*c**(-7)*c*c)))\/c*c)\/(c**(3\/2)\/(c**(1\/3)\/c*c)))**(-23))**(-2\/149) assuming c is positive.\nAnswer: c**(115\/447)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 91*j - 2948. Let c be o(30). What is the highest common factor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/9 + 0\/(-4). Factor -2*b - 4\/3 - g*b**2.\nAnswer: -2*(b + 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18347.069668383 take away 4?\nAnswer: -18351.069668383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -4.836.\nAnswer: -0.09672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 28 = -c, 3*c - 2*c + 2*p = -19. Let z be c*((2 - 8) + -2). Calculate the greatest common divisor of z and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92446400?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 1246, 3, -3 in decreasing order.\nAnswer: 1246, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -1) + (4 - (7 - 11)) - -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -n - 2*o, 7*n - 2*n - 182 = -4*o. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 41 = 16*r. Suppose -84 + 138 = r*b. Calculate the highest common divisor of 342 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22629, 21884, 21139?\nAnswer: 20394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-2)\/14)\/((-31)\/(-31)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, p: 8, r: 2}. What is prob of picking 2 z and 1 p?\nAnswer: 96\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 1\/1028, 3\/2, 0.3, 0.1?\nAnswer: 1\/1028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*d - 15, y - 5 + 29 = 3*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40859*n - 13619*n - 3*n**2 - 13616*n - n**2 - 13623*n - 2*n**2.\nAnswer: -6*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((440\/250)\/(-11))\/((-1)\/5)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**5 + 10*z**4 - 75*z**3 - 20*z**2 + 120*z. Let r(k) = -k**3 - k**2 + 9*k. Let j(v) = -n(v) - 20*r(v). Suppose j(g) = 0. Calculate g.\nAnswer: -5, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/5 - 9284*c**2\/5 - 1143811*c\/5 - 34999726\/5 = 0.\nAnswer: -61, 9406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 30, -0.233, 61, -1?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0 = -4*r - 24, -5*a - 3*r = 2. Let k(s) = -s + 1 + 1 - a. Let l(t) = t. Give k(l(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3100663264 - 4?\nAnswer: -3100663301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1452) + sqrt(1452) + sqrt(1452) + (sqrt(1452) + -3)**2 + -5 - ((-2 + sqrt(1452))*-3 + -1*sqrt(1452)*-5 + sqrt(1452))**2.\nAnswer: -11651 - 858*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(220))\/sqrt(11) - (sqrt(40)\/(sqrt(8)*2) + sqrt(50)\/sqrt(160)).\nAnswer: 13*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732566?\nAnswer: 2, 53, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let f = -23 + 23.00001. Let c = f - s. What is c rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -18, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 4*v + 12, -38*o + 35*o = -4*v - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1521101 (base 6) to base 12\nAnswer: -43191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 23, 2, -27, -64?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 0)**2*4 + sqrt(19))*1 + 0.\nAnswer: sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -207646\/7*l + 111 + 1\/14*l**4 + 6627\/7*l**2 - 94\/7*l**3. Factor k(t).\nAnswer: 2*(t - 47)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l = -18*o - 19*l + 38, 103*o - 105*o + 22 = -2*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -13*n + 41. Let v be f(4). Sort 4, v, 5, -2 in increasing order.\nAnswer: v, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*m - 75 = -2*m, -5*m = i - 25. Let k(d) = -d + 69. Let f be k(i). Let j be 3\/(-5) + 817\/95. Calculate the greatest common divisor of f and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.189 and 4.\nAnswer: 10.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14294, -54753, -95214, -135677, -176142?\n\"Answer: -v**2 - 40456*v + 26163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 = 3. Which is the closest to -0.1? (a) -0.04 (b) i (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582 = 8*v + 598. Which is smaller: -290 or v?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 + d. Let r be n(-2). Let k = 421 + -223. What is the greatest common factor of r and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007885184 to 5 decimal places.\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 51.5, 5, 4.1 in descending order.\nAnswer: 51.5, 5, 4.1, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 6545 - 6580 = 0, 5*u + 65 = -14*x - 40 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 196 - 196 + 20*r + (-3 + 1 + 0)*(-r + 0*r - r) as w*r + u and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*r - 3*r. Suppose r = 3*g - i - 0*i, 5*g - 5*i = 0. Let m be 1 - -1 - (-3 + (-15)\/(-6)). Put g, -1\/2, m in descending order.\nAnswer: g, m, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 57850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3172 divide 43529225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1278\/264)\/((-18)\/(-4) - 0) and -99\/4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0076542658 rounded to five decimal places?\nAnswer: -0.00765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*z - 374*z - 334*z - 1045 = -1083*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2041*b + 2039*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 278*p**2 + 118*p**2 - 29*p**2.\nAnswer: 367*p**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, i: 3}. Give prob of sequence kiii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 92 = -5*o - 2*u, 120 = -4*o - 4*u. Let v = -14 - o. What are the prime factors of 8\/v*30 - (-4)\/6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-8 - (-4)\/2). Let d = z + 10. Suppose 3 = w, -4*l + 5*w = -2*l + 11. What is the remainder when d is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000037866232 rounded to 7 decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t**1*t)\/t))**39*((t\/((((t*t**11*t*t)\/t)\/t)\/t*t))\/t)\/(t*t\/(t**(-4\/5)*t)*t) assuming t is positive.\nAnswer: t**(-269\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 5*a - 56 = 0. Let y(n) = -n**2 - 14*n + 6. Suppose 0*f - 33 = 3*f. What is the remainder when y(f) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b. Let v(g) be the second derivative of 104*g**3\/3 + 5*g. Give v(u(q)).\nAnswer: 624*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426849621.\nAnswer: 3, 11, 12934837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0 - 5\/3*c**3 - 1\/12*c**4 - 21*c**2 + 0*c. Suppose -9*z = -7*z + 18. Calculate a(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*r = 33*r + 1025 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y = 3*o, 0 = 5*y. Solve o*b + 3 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 595530, 4764856, 16081598, 38119464, 74452162?\nAnswer: 128653400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9882, 79062, 266786, 632304, 1234866?\nAnswer: 2133722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*a**2 - 27*a**2 + 9*a**2 - 6*a**2.\nAnswer: -61*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 798*k + 1010 - 2150*k - 602*k wrt k.\nAnswer: -1954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 9:42 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*d = -0*h - 9, -3*h + d + 6 = 0. What is the second derivative of -5*c - 7*c - h*c - 25*c**2 wrt c?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -20*o**2 - 30*o. Let k be i(-4). Calculate the common denominator of 13\/160 and (-655)\/k - (-9)\/(-24).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1733928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44568 and 76188?\nAnswer: 282962232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6896159224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974130 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d + 10, 2*k - 2*d = 18. What is the second derivative of 3*r**3 + 3*r**4 - k*r**3 + r**3 - 3*r wrt r?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 2. Suppose 5*h = -0*h - 20, 3*o + 5*h = -14. Let w(f) = -f - 4 + f + 7 - o*f. Let c = 7 - 2. Determine c*l(t) - 3*w(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 2 = 5*k. Calculate the least common multiple of 102 and k.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*c**2 + 88 - 636 + 22*c**2 + 28*c**2 - 3*c**2 as w + z*c**2 + i*c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 - 56. What is the third derivative of w*j**2 - 58*j**4 - 5*j**2 + 22*j**4 wrt j?\nAnswer: -864*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -2 + -25 + 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (60 - 48) + -29 + -2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -16. Let s = -5.999974 + q. Round s to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 14*k - 118. Let x be r(11). Differentiate -36*l + x*l - 33*l - 12 - 33*l - 132*l with respect to l.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f + 2. Let b be o(-1). Suppose -3*a = -b*a - 5*z + 2, -5*z = 3*a - 4. Let j be (-3)\/a + (-8)\/16. Which is bigger: j or -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 326351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 2*x**2 + x + (2 - 2 + x)*(-5 + 5 - x) - 2 - x**2 + 2 as g + l*x**2 + a*x and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 3?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 36*m**3 - 6*m**2 - 7*m. Let s be 13*6\/(-39) + (-9 - 0). Let x(p) = 71*p**3 - 11*p**2 - 13*p. Give s*k(t) + 6*x(t).\nAnswer: 30*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120 - -221100210?\nAnswer: 221111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 3*l + 4. Let d = -19 - l. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 34. Solve -2*r = -2*w - r - 4, 0 = -4*r + o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 469 - 452. Suppose -9*h - 72 = -o*h. Let u(x) = -x**3 + 10*x**2 - 9*x + 2. What is u(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + 13\/3. Let u be ((-2)\/g - 0)*-4. Find the third derivative of 2*j**4 + j**u + 0 + 0 + 0 wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 483*r**2 + 23. Let d(i) = 44*i**2 + 2. Determine 23*d(b) - 2*k(b).\nAnswer: 46*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 9:33 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/sqrt(2))\/sqrt(4) + sqrt(16)\/(sqrt(8)*1))*-4.\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9}. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1 (b) -2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 20*y + 5. Let m(s) = 7*s + 2. Let a = 901 - 832. Let o = 73 - a. What is o*r(b) - 11*m(b)?\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n + 1661 = -132*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (21038040\/25)\/12 - (-13)\/65?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394 + -386 - (30 - 1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - u. Let j(m) = m**2 + 2*m. Let k(s) = 14*s + 2. Let w be k(-1). Let c be (-4)\/(3*2\/w). Suppose -c*n + 6*n - 4 = 0. What is n*b(y) - j(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + f + 200. Suppose -m + 3 = 0, -3*n + 2*m + f + 35 = 0. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 23 = 3*j, 0 = -j + 2*o - 15 + 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.052 - 21940478.655\nAnswer: -21940478.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by ((-3)\/12)\/(-5*(-4)\/(-320)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/4 (b) 2\/17 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 2*t - 2*u, -5*t - 5*u = -78 - 142. Calculate the greatest common factor of t and 744.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**4 + m**3 - 2*m. Let c(r) = -20*r**5 + 20*r**4 + 2*r**3 - 8*r + 176. Let z(j) = c(j) - 2*h(j). Find the second derivative of z(b) wrt b.\nAnswer: -400*b**3 + 216*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**3\/3 - 7*h**2\/2 + 2*h + 3. Let k be q(6). Is (k\/4)\/((-2)\/24) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Let y be 3\/1 - (135 - -11). Let t be 2\/9 - y\/(-117). Put t, w, 3 in increasing order.\nAnswer: t, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2178 (base 9) to base 8\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, -3662, -14544, -35756, -70742, -122946, -195812, -292784?\nAnswer: -417306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6377099 to the nearest integer?\nAnswer: 2525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g. Let z(p) = -149*p + 8204 - 4100 - 4102. What is z(y(b))?\nAnswer: 1043*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 + 0*t**4 + 4*t**4 + (3*t**2 - t**3 - 3*t**2)*(6*t - 4*t - t) - 2*t**4 - 2*t**4 + 3*t**4 - t**2 + 125*t**4 + 17 + 7*t - 15 - 126*t**4.\nAnswer: -2*t**4 - t**2 + 7*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 192*d. Let a(u) = -2*u**2 + 3*u. Let g(m) = m. Let t(l) = a(l) - 3*g(l). Determine f(t(i)).\nAnswer: -384*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -209724 (base 10) in base 7?\nAnswer: -1532304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*1*-2 - sqrt(11)) + (-1 + sqrt(11))*6)**2.\nAnswer: -36*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (155 + -128 - -11) + (1 - 42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -571330 (base 8) to base 14\nAnswer: -505cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, u: 2, r: 1, k: 5}. What is prob of picking 2 k and 2 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 668 = -4*a - 3192, 4*o + 5*a = 5095. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 1050. Let k be w(0). What is k rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7582909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 p when four letters picked without replacement from {z: 5, p: 13}?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*x + 50*x - 209*x + 60*x + 49*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-50)*(1137\/(-6) - 5). Let d = v - -18814\/1275. Find the common denominator of d and -62\/5.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14761?\nAnswer: 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 157628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2. Let v = -30 + 33. Let w(n) = 27*n - 28*n + v - 3. Determine q(w(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y - 4*y - 2*y**2 - 8*y + (3 - 1 - 3)*(31*y - 31*y - y**2).\nAnswer: -y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v + 3*m - 16, -v + 14 = -3*m. Let r = -3 - -2.5. Put v, -3, r in increasing order.\nAnswer: -3, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 3*c**2 + 4*c - 8. Let z be o(4). Is z less than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {t: 1, n: 1, x: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4615 + 23077\/5. What is the closest to r in 2\/3, -2, 0.9, 2\/19?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385345573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37488 is divided by 3328?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**3\/3 - 5*y**2 - 2*y + 2425. Calculate u(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 11940132*x - 19104224.\nAnswer: (x - 2388028)*(5*x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.03998 - 0.03702. Let m = k + -0.533. Let y = -0.51 - m. Which is the smallest value? (a) -1\/5 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11 - (-33 + -10))*(-20)\/(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 10 (b) -0.2 (c) 3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 10:13 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(357\/21)*(-3)\/(-258)*4.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -789 - -795. Solve 2 = -5*d - z, 0 = d + w*z - 5*z + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54777.5+-388\nAnswer: 54389.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*y - 366*y + 27 = 4*x, 36 = y + 5*x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -188882245*u*z**2 - 6*u*z - 13*u - 70*z - 343 wrt z.\nAnswer: -377764490*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**8))\/u**2*(u\/(u**2\/u))**(3\/32)*(u**(-8)*u*u*u\/(u**(-5)\/u*u))\/(u**(-1)*u*u)**(-1\/25) assuming u is positive.\nAnswer: u**(-274\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 11:05 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -182*r**4 - 243?\nAnswer: -728*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**3 - 9*q**2 - 31*q + 4. What are the prime factors of m(-5)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*i = -509, -2*i = -7*i - 25. Suppose 5*m = 3*l - 0*l - g, -5*l - 4*m + 243 = 0. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10004636.\nAnswer: 2, 17, 167, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 844*s - 36023 = 36180 - 3839 for s.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 8*u - 6 = 0, -266*l = -268*l - u - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 8:21 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/11, -0.04, -0.4, 3\/5, -5 in descending order.\nAnswer: 3\/5, -0.04, -0.4, -5\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 16\/(-12)*(-3435)\/(-2). Let k = c + -788. Round k to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48*35\/4620*16\/6*51\/34\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**2 - 4*d + 3*d + 67 + 4*d**2. List the prime factors of n(0).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3311 and 3\/2122351.\nAnswer: 2122351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21878 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125184819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246936.\nAnswer: 2, 3, 10289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:25 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189246460.\nAnswer: 2, 5, 13, 19, 29, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133144223 to the nearest integer?\nAnswer: 11539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26 times -15.6\nAnswer: -405.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 147924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3727 = -5*l + 3824, -2*p - 4*l - 50 = 0 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39\/37 in 12, 1.68, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 21, -2, -4 in decreasing order.\nAnswer: 21, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79394945 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**3 + 2*v**2 - v + 2. Let w(q) = 11*q**3 + 6*q**2 - 4*q + 7. Let j(n) = 8*i(n) - 3*w(n). Does 5 divide j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87759574 to the nearest integer?\nAnswer: 9368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 2952.\nAnswer: -5\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377315987.\nAnswer: 773, 488119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 394223 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2044*u**3 + 73*u**2 + 73*u + 73. Let b(r) = 3*r - 4*r**2 + 0*r**2 + 5 + 2*r + 141*r**3 + 2*r**2 + 7*r**2. Calculate -73*b(t) + 5*d(t).\nAnswer: -73*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkqkqdddk. Give prob of sequence qq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -219.3 and 2.\nAnswer: -438.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 467005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**(1\/9))**24 assuming l is positive.\nAnswer: l**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(720) - (1 + (sqrt(720) - (sqrt(720) + 3)))).\nAnswer: 5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 0*y + 1\/14*y**4 - 50 - 6\/7*y**2 + 2\/21*y**3. Factor l(c).\nAnswer: 2*c*(c - 2)*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 11528242.\nAnswer: 968372328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/11232 and 31\/1872.\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/14)\/(69\/(-92))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 313021311213 (base 4) to base 9\nAnswer: 30175843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14206 - -26?\nAnswer: 14234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*g**2 + 4*g - 3*g - 2*g + 15*g**2 as b*g**2 + a*g + n and give b.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -32 + (-15 - -21).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -22*r - 2376000000. What is r rounded to the nearest 1000000?\nAnswer: -238000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12200112321 (base 4) in base 11?\nAnswer: -a65325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*sqrt(363)*1)**2.\nAnswer: -198*sqrt(3) + 3276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = -8. Let w(b) be the first derivative of -5*b**4\/4 + b**2 - 3*b - 3008. Calculate w(s).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/10 and -1 + 6\/5 + 2294\/(-14245).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 1. Let z be w(-2). Let t(n) = -19*n + 4 + 7*n - 1 - 4. What are the prime factors of t(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - b - 5. Suppose 0*y = -5*y. Let a be (0\/(-3) - -1)*y. What is s(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*l = -188*l - 38668. Suppose -5*w + p + 6902 = 0, 0 = -4*w - p + 3*p + l. List the prime factors of w.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9779\/688 + -458\/43. Calculate the common denominator of (34\/15)\/(28\/63) and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-549)\/488 + 865*14\/(-1680)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -3048*a + 3049*a. Calculate the greatest common divisor of 208 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.067484827 to 5 dps.\nAnswer: 0.06748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from {m: 2, h: 2, n: 1, e: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0296, 1\/8, 4214 in ascending order.\nAnswer: -0.0296, 1\/8, 4214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 88434330 less than -0.2949?\nAnswer: -88434330.2949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12372\/9 + 24\/(-36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykk when three letters picked without replacement from {x: 1, k: 2, c: 5, y: 5}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2756 - 46?\nAnswer: 2710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 + -27926.\nAnswer: -27893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*m + 15 + 0 + 79*m - 166*m.\nAnswer: 2*m + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -127, -247, -367?\n\"Answer: -120*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 10:10 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1877948 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50005.9 meters in kilometers?\nAnswer: 50.0059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 6*h**2 - 8*h - 3. Let l be k(-3). Let x = 72.3 - 72. Which is the fourth biggest value? (a) x (b) 2\/5 (c) 0.2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/32 in -47\/2, -0.4, -86?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 396.072 to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**8\/33600 - v**7\/2520 + v**6\/450 + v**5\/4 - 13*v**2. Let a(y) be the third derivative of k(y). Let a(t) = 0. What is t?\nAnswer: -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 759190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-21))\/(14\/28).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 12*o - 5*o + 2 - 6*o + o**3. Let x be l(0). Let t(p) = 3*p**3 + 4*p**2 - 3*p. What is the remainder when t(x) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-65)\/7)\/((-2340)\/(-910)) and 1*(-74)\/28 + -2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 1\/6, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1230.6 - 1379.83. Let f = l + 149. Which is the third smallest value? (a) -2\/13 (b) -0.1 (c) 1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/24 - 2\/8. What is the smallest value in w, -1, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608598419?\nAnswer: 11, 13, 17, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 12 - (-16 + 18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89153?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57642055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1768629 divided by -1\nAnswer: 1768629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((41\/(-41))\/(4\/(-2)))\/((-22)\/330)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, -1, 4, -2 in decreasing order.\nAnswer: 4, 2, -1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4 + 73*c**3 - 1289*c**2 - 73*c + 1290 = 0. Calculate c.\nAnswer: -1, 1, 30, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 + 21*c**2 - 53*c - 267. Let v be s(-3). Factor 18\/11*k**5 + 2\/11*k**2 + 6\/11*k**4 - 10\/11*k**3 + 0 + v*k.\nAnswer: 2*k**2*(k + 1)*(3*k - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 743222 and 829357.\nAnswer: 2461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r*r*r\/((r\/(r\/(r*r**(-3\/7)*r)))\/r*r))\/r))\/(r*r**0*r)*r**0*r**(-6))**(-28) assuming r is positive.\nAnswer: r**236","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -32*t - 374. Let i be u(-13). Suppose i*y = 39*y + 12. Solve 52*h = 50*h - y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-8)\/q*q)*q)\/q**36 assuming q is positive.\nAnswer: q**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**2 + 30*u - 19*u + 2*u + 63*u**2 + 3 + 2*u**2 as q*u**2 + v + i*u and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 101.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 406859 to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - -5. Let v be (8\/t)\/((-1)\/(-5)). List the prime factors of -1*(-34 + (0 - v)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(77)*-2*1)\/(sqrt(539) + (sqrt(539) - (sqrt(539) + -3*(-2*sqrt(539) - sqrt(539))))).\nAnswer: -3*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(-28*7\/(-1176)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.218185 rounded to two dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = -29. Let o = -4 - r. Solve 0*t + o*t - 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65\/2 - 35. Let b = -9514.1 + 9514. What is the nearest to b in m, 0, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04422, 4, -1\/4 in decreasing order.\nAnswer: 4, 0.04422, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3705, -3707, -3709, -3711, -3713?\nAnswer: -3715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 64 = i - 18, -4*x - 5*i + 93 = 0. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, -28, -61, -106, -163, -232?\n\"Answer: -6*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 12 - 8*z**2 - 2104*z + 1264*z - 1105*z + (2*z - 1 + 1)*(2*z - 3*z + 0*z) as o*z**2 + a*z + j and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + y**2 - y)*(y**2 - 3*y**2 + 0*y**2) - 3*y**4 + 2*y**4 - 13113*y**2 + 13116*y**2 + 754*y as f*y**3 + c + i*y + k*y**2 + p*y**4 and give i.\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 13, a: 5}. What is prob of sequence app?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jlvd when four letters picked without replacement from ddjdllnddnnjldvjnn.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - t - 4*t + (-4*t + 5*t - 3*t)*(2 + 2 - 1))*(18 - 16*t - 9 - 7).\nAnswer: 112*t**2 - 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvvvvxfxrxf. What is prob of sequence ff?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o = -25. Let d = o - 3. Solve d*y - 3*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 282 and 100.8624.\nAnswer: 28443.1968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 + -66.5. Let g = 0 + -0.1. What is the third smallest value in q, g, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79992 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 63 + 97 = 0. Let t(o) = -o**2 - 10*o - 3. Let u be t(-6). Solve 0 = -f*y + y - u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/7, 4338394, 5 in descending order.\nAnswer: 4338394, 5, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -126 + 3*g - 16 + 3*g + 0*g. Calculate the remainder when 11 is divided by j(24).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10166.90444 - 0.09556. Which is bigger: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 1239*p + 2466.\nAnswer: 3*(p + 2)*(p + 411)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 30 = 3*y + z, 3*y - 60 = 5*z. List the prime factors of (-3*(-138)\/y)\/(12\/40).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26345 is divided by 13121?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 0)*2 + sqrt(243))**2.\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -16*(1 - 28\/16). Let s be r - -2*3\/2. Suppose -3*x + 0*x = -v, v + 4*x = 0. Solve 5*c + 5*p - 13 = 27, v = 3*p - s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrq when three letters picked without replacement from nvlqr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1901743829?\nAnswer: 1901743829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*l + 664 - 241, 0 = -5*l + d + 709. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -6 (b) -0.17 (c) -201 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 24 = -39. Which is smaller: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51.4 and -0.17951.\nAnswer: 9.226814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11830 - 9770 = -864*v for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4 - 10*o)*(2 - 1 - 3).\nAnswer: 20*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-42))\/((-28)\/546)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318*z + 319*z = 108. What is the greatest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 226147*h**2 - 1. Let w(i) = 2*i**2. Determine n(w(x)).\nAnswer: 904588*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -427 + 842\/3. Let z = i - -145. Let s = 11 - 16. Which is the second smallest value? (a) z (b) -1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -1\/6*s**3 + 0*s - 1\/3*s**4 + 6 - s**2. Let p(u) be the second derivative of r(u). What is p(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((52\/4)\/(-78))\/((-6)\/(-4))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.34 and -5081.\nAnswer: -5081.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1574, 3112, 4650, 6188?\nAnswer: 7726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34252 - 0?\nAnswer: -34252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.954 - -24.954. Sort 183, 1\/3, -5\/2, s, 1\/2.\nAnswer: -5\/2, 1\/3, 1\/2, s, 183","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 81 + 5\/3*x**3 - 10*x**2 + 20*x. Factor c(g).\nAnswer: 5*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55 - 69) + 12 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 + 3 - 3)*(1 + 2*a - 1) + (-2*a + a + 5*a)*(-2 + a + 2)*(-7*a + 3*a + a) to the form p*a**2 + h*a + m + i*a**3 and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*h**2 + 324*h**2 + 68*h**2 - 3*h.\nAnswer: 8*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r = -560, 51*r - 79 = -5*g + 55*r - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1789879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 63. Put t, 5, 3 in descending order.\nAnswer: 5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-21\/5)\/g*g**(-27))\/(g**(-2\/23))**(1\/30) assuming g is positive.\nAnswer: g**(-11108\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 51. Calculate z(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, e: 7, d: 7}. Give prob of picking 3 e.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14410 - -5?\nAnswer: 14415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f. Let i(v) = 5*v - 281. Give i(w(m)).\nAnswer: 40*m - 281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + 67?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(252) + 1*sqrt(252)))**2 - (sqrt(416)\/sqrt(32))\/sqrt(4).\nAnswer: -sqrt(13)\/2 + 13\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 792826 or 792824?\nAnswer: 792826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 292984 - -13317. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3367*h**3*k - 2*h*k**3 + 2*h - 42*k**3 + 71*k**2 wrt h?\nAnswer: -10101*h**2*k - 2*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 214?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(208)\/sqrt(4) + 3).\nAnswer: -12*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6674797.\nAnswer: 113, 59069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -807.42926 rounded to the nearest ten?\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -73*b**3 - 4594*b + 4594*b + (6*b**3 + 0*b**3 - b**3)*(0 + 3 + 1).\nAnswer: -53*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-5 + 1 + 1)*(3 - 3 + 2*g**5).\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(44)\/sqrt(2) - sqrt(22)) - sqrt(198)\/(sqrt(9)*-2))\/((sqrt(4)\/sqrt(98) + sqrt(2))*6).\nAnswer: 7*sqrt(11)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 4. Let s(y) = y**2 + 1. Let o(u) = -4*s(u) + t(u). Let q(c) = -16*c**2. Calculate q(o(p)).\nAnswer: -400*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**3)\/j**14*(j\/j**16)\/(j*j*(j**(-1\/13)\/j)\/j*j))**(-21) assuming j is positive.\nAnswer: j**(7077\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g - 3*g**2 - g**2 + 2*g**2 + (-g + 3*g - 3*g)*(1 - 1 + 2*g) - g**2 - 2*g + 2*g to f*g**2 + u + r*g and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + w + 20 = 0, -3*c + 2*w = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400636 (base 8) in base 14?\nAnswer: a3646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.788 + -0.088. Let a = q - 2.728. Round a to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**3 - 5*n**2 + 2*n + 11. Let o(t) = 3*t**3 - 3*t**2 + t + 6. Let p(d) = 5*o(d) - 2*x(d). What are the prime factors of p(2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.028 - 866.\nAnswer: -865.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c = 28 - 112 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3*93864\/4. Suppose -4*c = 182 - i. Round c to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000109 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/60 + 7*x**4\/8 + 35*x**3\/3 + 162*x**2 + 2*x + 2. Give h(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.89312 rounded to 0 dps?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 16) + ((-92 - 14) + 8 + -1 - -4)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185640445?\nAnswer: 5, 769, 48281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23a (base 15) to base 4\nAnswer: 13321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/63*6)\/((-56)\/(-48)*-2)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * -153.\nAnswer: 13.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 6. Let v be 8\/6*(-42)\/u. Let p = -25889 - -25931. What is the highest common factor of p and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.2 (b) 0.13 (c) 0.01 (d) -123 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-3)\/(-2))*192\/256. Suppose 6*w = 5*w - 5. Which is the fourth smallest value? (a) w (b) 2\/7 (c) 3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 10 + 7 - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q - 10 = 0. Suppose -q*z + 2*f = -8, 2*z - 11 = 3*z - 4*f. Suppose -33 = -2*j + 39. Calculate the highest common factor of z and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 100?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, s: 3, l: 2}. Give prob of picking 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 10*y + 9 - 13\/3*y**3 + 0*y**2. Find the first derivative of w(p) wrt p.\nAnswer: -26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633527459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469 = 4*d + u, 0*d - 4*u = -4*d + 444. Let t(b) = 22*b - 58 + d - 61 - b**2 + 4*b**2. List the prime factors of t(-9).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365497?\nAnswer: 11, 149, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 4*m**2 + 3*m - 2. Let g(s) = -2*s**3 + 8*s**2 + 5*s - 4. Let y(q) = 3*g(q) - 5*u(q). Let c = 21 + -16. Suppose -c*n + 11 + 4 = 0. Give y(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-11)))\/((t\/(t*t**(1\/5))*t)\/t))\/(t*t**(-4)\/t*t)**(-28) assuming t is positive.\nAnswer: t**(-364\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 535467.4 centuries?\nAnswer: 53546740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from ihhqiiqiihqihi.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 8:00 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -19 - 32 - 3*f + 11 + 14*f. Let w be q(7). Solve 12 - w = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, -0.4, 6, 23\/4, -10 in decreasing order.\nAnswer: 6, 23\/4, 3, -0.4, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1892\/430*(-450)\/240\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 1, e: 1}. Give prob of sequence eqo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -324.799 to zero dps.\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -11. Let p = o - 4. Solve c - 5*l = p, 2*l = c - 2*l + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 59*f**2 + 27 + 56*f**2 - 18 to y*f + p*f**2 + u and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a + 1. Let z be u(2). Solve -1 + 0 = -2*l - 3*g, 5*l + z = -3*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*w = -29, 0*w = 2*p - 4*w - 8. Let o = p - -9. Solve -y = -4*a + o - 6, -5*a = -25 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-18) + -1 + 2\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/18 - (2 - (-4012)\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-416)\/84)\/13*6\/8*7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = 4*c - 4*q - 85, 178 = -4*c + 2*q. Suppose 16*f = 17*f - 52. Let s = c + f. Solve 4*m = s - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 11*x. Let u(l) = -10454*l**2. Determine u(q(y)).\nAnswer: -1264934*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.63 - 70.7. What is i rounded to one dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116\/(-290) - 237\/(-5) and 8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 27*s**2 + 90*s + 73. Calculate i(30).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 56*n + 10530. What is b(-188)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 12*d + 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 13. Determine p(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9690)\/20)\/19)\/(6\/4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*-6 + -4*sqrt(48) + -2 + -3)**2.\nAnswer: 1600*sqrt(3) + 76825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*r + 2*r - 12 = 0, x + 4*r = -10. Let q(g) = -g + 16. Let h be q(9). Suppose c + h = 3. Which is bigger: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0342255 and -766?\nAnswer: 765.9657745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 8*d = 5*d + 9, 4*h = 5*d - 15. Which is bigger: 19\/94 or h?\nAnswer: 19\/94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7. Which is the nearest to 0? (a) 4\/9 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -2\/3, -4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1774866 and 1083?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-15)*f**(-2\/5))**(-2\/53) assuming f is positive.\nAnswer: f**(154\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -13, 39, 2, 98, -5 in increasing order.\nAnswer: -13, -5, 2, 6, 39, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 24354 = -16*m. What is the highest common divisor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 186 + -7. Factor 17*f + 6 + 37*f**3 + 186*f**4 + 13*f + 59*f**2 + 5*f - l*f**4.\nAnswer: (f + 1)**2*(f + 3)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23041 - 2301?\nAnswer: 20240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.24 (b) 456 (c) 1\/6 (d) -1\/11 (e) 5 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 4 + 24 = 0. What is the second smallest value in 1\/5, -0.4, 7, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*c = 2599 - 10343 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 27*r + r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*d - 2*h + 1, 5*d + 4*h = 0. Suppose -d*x = 6 - 50. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - -0.33. Let u = 0.6 + g. Let y = -0.97 - u. Is y > 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + (-3 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 7\/3*d**3 - 6*d - 5 - 3*d**2. Let f(o) = 4*o + 2 - o**2 - 3*o - 1. Give 6*f(s) + p(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 4*n + 11. Let h(p) = 121*p - 5 - 124*p + p**3 - 2. Calculate 8*h(a) + 5*i(a).\nAnswer: 3*a**3 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254 (base 9) to base 4.\nAnswer: -3103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 11:44 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 z when three letters picked without replacement from apqapzdzpdqaddpz.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 3*n**2 - 4*n**2. Let q(y) be the second derivative of -46*y + 3*y**3 + 80*y**2 - 80*y**2. Determine x(q(u)).\nAnswer: 648*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8360 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 3*t**2)*(0 - 7 + 5) + (5*t + 0*t - 3*t)*(4 - 2*t - 4) to the form b + p*t + u*t**2 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*((1 - 2) + 2). Suppose 0*q = -2*q + y. Let j be (-65)\/65*(-1)\/5. Is q equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259685114 to the power of 1\/2, to the nearest integer?\nAnswer: 16115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6 + -1 - -3) + 29 - 15) + -97?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2721, -5752, -10783, -17796, -26773, -37696?\nAnswer: -50547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1000210111122200?\nAnswer: 1000210111122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a minute in seconds?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 126 + -15?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86 + 2*a**3 + 4*a**2 - 3*a - 86 to the form o*a**3 + m*a**2 + k + d*a and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 0*s**4 - 1\/6*s**3 - 7\/60*s**5 + 0*s - 2 - s**2. Determine n(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -v + 2*p, -4*v + 39567*p = 39569*p - 26 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91.1 + 97. Let c = -10.78 + a. Round c to one decimal place.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 1218216*m + 92753138916.\nAnswer: 4*(m - 152277)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*t + 33*t + 12. Suppose t*m + 125 = 5*g - 360, 0 = -5*g - 2*m + 485. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 0*k**2 - 13*k**2. Let l(t) = 2*t**2 - 6*t - 12. Let w(m) = 6*m**2 - 17*m - 34. Let b(z) = 17*l(z) - 6*w(z). What is j(b(y))?\nAnswer: -44*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 6*u + 2. Let w be s(-3). Solve c = -5 + w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.3 - 4. Let l = -0.4 - -4.4. Sort -2, l, p.\nAnswer: -2, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210 take away 5?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220380 is divided by 184.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from eeeeeheheeheeeheee.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 183, 1, 0, -3, 4 in descending order.\nAnswer: 183, 4, 1, 0, -3, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 12. Suppose 0 = -6*c + 10*c + 32. Let i be a(c). Solve i*z - 2 - 10 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -608 divided by 401904\nAnswer: -38\/25119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446, 147, -352, -1051, -1950, -3049?\nAnswer: -4348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*h - 2*i + 7, -5*h + 3*i = 0. Suppose h*u = -4*u + 4676. Suppose 0 = -5*m + u - 8. What is the highest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 5:30 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 15*m**2. Let y(t) be the second derivative of -9*t**4\/4 - 15*t - 5. Give y(d(s)).\nAnswer: -6075*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8274 and 3192.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)\/a*a*(a\/(a*a**(1\/24)\/a))\/a)\/((a*a**(5\/2)*a)\/(a*a*a\/(a*(a**(-5)*a)\/a))) assuming a is positive.\nAnswer: a**(-205\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -11\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, x: 6, p: 5, h: 2, e: 3}. Give prob of picking 1 h and 2 e.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 10:30 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**4\/12 - q**3\/6 - q**2\/2 + 2*q. Let f = -997 + 993. Let g(i) = i**2 - 9*i - 4. Let p(y) = f*o(y) + g(y). Factor p(u).\nAnswer: 5*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let m(s) = 3738959*s. Give m(d(y)).\nAnswer: -3738959*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -2*d**2 + 5*d + 1\/6*d**3 + 0. Let i = 13 + -7. What is v(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2057388 = -3*m + 2*x, 2*m - x = 1371597. Suppose 52*p = 49*p + m. Round p to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25921, -25922, -25923, -25924, -25925?\nAnswer: -25926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 101000001?\nAnswer: 101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137\/2 - 69. What is the nearest to y in 2\/7, -3, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let h(p) be the third derivative of -p**4\/24 + p**3\/6 + 6*p**2. Let f(y) = 3*c(y) - h(y). Let u be 1\/(2 + (-7)\/3). Calculate f(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*2*sqrt(104) + (2*(sqrt(104) - (sqrt(104)*-1 + sqrt(104))) - sqrt(104))))\/((1*sqrt(96))\/(sqrt(3) - (sqrt(3) + sqrt(81)\/sqrt(3)))) + -2.\nAnswer: -75*sqrt(13)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 52 = 0. Suppose -k + y = 3*i, 0 = 2*i - 3*i + 5*k + 30. Solve 0 = 5*a - 5*j + 10, -a - i = 4*a + 3*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 91 = -2*q, -500*q + 504*q - 3*u + 161 = 0 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5631*y + 8006 - 8006)*(5*y - 2*y - 4*y)*(-1 + 2 + 0) to the form b + a*y**2 + o*y and give a.\nAnswer: -5631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104.328 and -5167?\nAnswer: 539062.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 6 + (-10 + 5 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 1, -3*s - 4*w + 19 = -2*w. What is the lowest common multiple of s and (((-56)\/(-22))\/(-7))\/(2\/(-22))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104167661?\nAnswer: 13, 8012897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**3 + 0*d**3 + 2*d**2 - 6*d**2. Suppose -295 = -3*f - 67. Suppose -22*l + 12 = -f. Let i(q) = -5*q**3 - 3*q**2. Determine l*i(k) - 3*m(k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:01 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-69)*(-13225)\/(-230)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 258.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -61.6. Which is the second biggest value? (a) 0.18 (b) x (c) 5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 612 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x**2 - 7348 + 7348.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32262 and 1254.\nAnswer: 354882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1475*h + 5154 - 729 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 8*v + 6*v - 16*v)*(-5 + 6 + 2).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 77*z**2 + 0*z**3 - 2\/315*z**7 + 0*z + 0*z**6 + 1\/504*z**8 + 0 - 1\/36*z**4 + 1\/45*z**5. Solve i(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2\/2953 (c) 0.035\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1376 and 430?\nAnswer: 6880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58, -64, -64, -58, -46, -28?\n\"Answer: 3*m**2 - 15*m - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/5 - 22660048*c\/5 - 128369443840576\/5 = 0. Calculate c.\nAnswer: -11330024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -380 - -200. Round y to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a. Let g(d) = d**3 + 2*d**2 - 2*d. Let u be g(-3). Calculate q(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p - 1914 = 17238. Is 66 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 107 = -27. Let z(g) = -3*g + 8. Let s be z(7). Let r = x - s. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -529416 divided by 88236.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 3*a + 5*a - 4*a**2 + 0*a**2.\nAnswer: a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) 1 (c) -16 (d) 4\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/73)*r\/(r*r**(-10))*((r*(r*r\/(r\/r**(-1\/8)))\/r)\/r)\/r**(1\/26))**19 assuming r is positive.\nAnswer: r**(1420877\/7592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 7*l + 213 = 368, -o + 124 = -5*o + 4*l for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51595*a - 9 - 8 + 17.\nAnswer: 51595*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j**2 - 13*j - 100. Let n(p) = p**2 - p. Let x(i) = 14*n(i) + 2*t(i). Factor x(k).\nAnswer: -2*(k + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1. Let t = -3 + 5. Suppose -3 = t*n - v. Is 1\/6 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/15*t + 2\/5*t**5 + 2\/3*t**2 - 2\/3*t**4 - 2\/15*t**3 + 0 = 0. Calculate t.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 10*f**2 + 34*f + 222. Calculate the remainder when y(-8) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/3)*g*g)\/g)\/g**6)**3*((g\/g**(-2\/7))\/g)**(7\/9)\/(g**3\/g**(-2)) assuming g is positive.\nAnswer: g**(-169\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3223884 and 517704?\nAnswer: 70925448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) + 208\/6. Let u be (-8 + 0)*b\/(-4). Suppose 0 = 3*x + 3*v - 22 - 44, -x = -4*v + 3. Calculate the highest common factor of x and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 946 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*c**(3\/10)*c)\/c)*c*c**(-1\/7)*c*c*((c**(-4)*c)\/c)\/c*c*c**(-5\/6) assuming c is positive.\nAnswer: c**(-239\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/5))**(6\/17) assuming b is positive.\nAnswer: b**(24\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 1, 0.07 in decreasing order.\nAnswer: 1, 0.07, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 67\/3 of a day?\nAnswer: 32160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559.2628 microseconds in nanoseconds?\nAnswer: 559262.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**6 + 4*k**5\/5 - 13*k**3\/3 - 2*k + 35. What is the third derivative of g(v) wrt v?\nAnswer: -360*v**2 + 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (9 - 18) - -22\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5*f + 21 = 0, -2*u - 52*f + 50*f = 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/9 (b) 1 (c) -45 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -18 + 9*d - 12 - 21*d**2 + 2*d**3 + 53 - 9. Let l be t(10). Solve l = 4*c + 24 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -6*o - t - 3, -1 = -5*o + 3*t. Solve -2*p - h - 7 = 0, -4*h - h - 19 = o*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 13*l = 43*l - 3467772. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1021557583?\nAnswer: -1\/1021557583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26242243837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (261\/(-406))\/((-84)\/(-98)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 11*f - 4. Let q be k(12). Suppose -81*c - 35*c + 464 = 0. Solve -q = s - c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1281998\nAnswer: 5\/1281998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/801 in 0.2, -1, 5, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppupppiippippp. Give prob of sequence iuip.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q - 3433 = -29*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39*(-5)\/10*(-32)\/24.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) -0.5 (c) 40 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 3*z**2 - z + 1. Let d be t(2). Suppose 0 = -8*m + 5*m. Let x = 107.8 + -111.8. What is the nearest to 1 in x, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271951*p = 271956*p + b + 164, 4*p = 9*b - 141 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-1 + -1))\/((-4)\/20). Suppose -7*l + 5*l = 5*i - 13, -3*l = -o*i - 82. What is the remainder when 46 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + m**4 + 59*m + 0*m**4 - 12*m**2 - 20*m + 46*m**2 - 31*m**2 as g*m**2 + z*m**4 + j*m + d*m**3 + p and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5994 or 6404?\nAnswer: 6404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -143728659897.7 and -8?\nAnswer: 143728659889.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -3. Let m(k) = 2*k**3 + k**3 + 5 - k**3 + 2*k - 8*k**2 - k**3. Let c(v) = 3*v**3 - 23*v**2 + 5*v + 14. Let u(o) = 3*c(o) - 8*m(o). Give u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 9 = -11*p. Suppose 2*i = -p*n + 13, -3*i + 10 + 3 = -2*n. Find the common denominator of (-230)\/(-20)*n\/10 and 67\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 - (-13 + 13)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92020726 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -1.3. Let c = -4 - -4. Let h = z + c. Put -2, -0.3, h in decreasing order.\nAnswer: -0.3, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 9*v**2 + 10*v + 12. Let m be p(-6). Suppose 2*g - 4 = -2*a + 20, -5*a - g + m = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 11*f - 2*f - 159 - 24*f.\nAnswer: 2*f**3 - 15*f - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -16 - -19 - 0\/(-2). Let s(x) = 19*x - 39. Let i(g) = -6*g + 13. Let n(b) = v*s(b) + 8*i(b). What is the derivative of n(w) wrt w?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 3)*(237*f**2 - 237*f**2 + 52*f**4) to the form s*f + i*f**3 + r*f**2 + z + b*f**4 and give b.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11645 and -18?\nAnswer: -209610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 617351 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*k + 57*k - 2176 = 11*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**7\/840 + d**6\/120 - d**5\/10 - 4*d**2. Let s(x) be the third derivative of k(x). Let p(u) = -5*u - 5. Give 4*p(t) + 3*s(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 3*a + 2*a + (2 + 1 - 2)*(5 + 2*a - 5) + 2*a + 0*a - 3*a - 4*a - a + 6*a + 5*a - 2*a - 2*a - 3*a - a + a + (0 + a + 0)*(0 + 0 - 1).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -525835360 by -80.\nAnswer: 6572942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 + 55 + 2*x**2 - 9 + 145 + 98.\nAnswer: 2*x**2 + 431","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = h - 5*y + 1, -2*h - 2*y = 2. Let j = 3 + h. Let d(u) = 0*u - 4 + j*u**2 - 7*u - u**2 - 2*u**2. Calculate d(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 2. Let q be t(-1). Let f be 6*q*(-1)\/(-3). Let o be ((-22)\/f)\/(3\/45). Calculate the greatest common factor of 22 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*m + m. Let b(k) = 88*k**3 - 3*k**2 + 2*k + 1. Is b(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49521*j**4 - 23053*j**2.\nAnswer: 1188504*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t - 10 = 0. Let g(s) = -s**2 - 5*s + 2. Let p be g(-5). Factor 5*q - 3*q**t - q**p - 5*q - 2*q**3 + 4 + 2*q.\nAnswer: -2*(q - 1)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -10.91?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 11:24 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-144)\/(-28))*(-80)\/(-210)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -244380, -244395, -244408, -244419, -244428?\n\"Answer: r**2 - 18*r - 244363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*k - 6*p - 6, 0 = p. Suppose -2*c = -k*l - 1, 1 = -c - 2*l + 4*l. Suppose -5*y - 4*f = -60 + 12, 0 = y + c*f + 3. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -281 divided by 281\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 129*i - 2167. Let v be g(109). Solve 59*p - 5*u = 56*p - v, 0 = -4*p + u + 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + c - 9 - 2 = 0, 5*c + 5 = -3*d. Suppose 4*w - d*l = 30 + 9, 5*w - 3*l - 39 = 0. Let o(z) = 12 + w + z**2 + 8*z - 14. Give o(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - 3) + (-313 - -357)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33697132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 26. Let p = 15 - f. Find the second derivative of p*k - 3*k - k**4 + 4*k**4 wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9488 to 1 dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 2*j**2 - 3*j**2)*(45 + 14*j - 45)*(3 - 5 + 4)*(-3*j + 4*j + j).\nAnswer: -112*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -16) + -8 + -66 + 22 - (6 - 1)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -346*j - 723. Determine y(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.5 + -4. Let g(n) = n**3 + 8*n**2 + 5*n - 9. Let y be g(-7). Suppose -17*k = -12*k - y. Which is the closest to k? (a) i (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -5*b + 12. Let h be b\/(-4)*8\/4. Suppose -h*x = -93 + 36. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-19480)\/(-3))\/(-2)*195\/(-130). Let d = -2367 + n. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(156) - sqrt(156))*1 + (sqrt(156)*3 - sqrt(156))*-6)\/(2*(-4*(sqrt(1200)*-3 + sqrt(1200)) - sqrt(1200))).\nAnswer: -sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-5 - 3 - -12) - (4 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -2 in ascending order.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttssssssssst. What is prob of picking 1 t and 1 s?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -2 - ((2 - 3) + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - -1 - (245 - 5 - 216)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 75\/2 of a tonne?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17456.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 3 - 3) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*z + 17, -3*z + z - 17 = 5*n. Let x(t) = -3*t - 12. Let k be x(n). Suppose -3*g = -4*g + k. Solve -2*b = 5 - g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 13\/31, -1?\nAnswer: 13\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 0*c + 0*c)*(3 - 3 - 2) + (6*c + 15*c + 3*c)*((0 + 2 + 3)*(-2 + 2 - 1) - 8 - 10 + 16) to y + z*c and give z.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -248*o**3 - 63*o**2 - 6*o + 2. Let f(x) = 495*x**3 + 122*x**2 + 13*x - 5. Let l(u) = -5*c(u) - 2*f(u). Find the third derivative of l(y) wrt y.\nAnswer: 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) 5 (c) -4 (d) -1\/4 (e) -541\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 34*g**5\/3 + 1019*g**4\/3 - 2458*g**3 + 1304*g**2\/3 + 39136*g\/3 - 384 = 0.\nAnswer: -36, -2, 1\/34, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3260, 13003, 29246, 51989, 81232?\nAnswer: 116975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 + 87 = y. Let d = 710\/3 - y. Let o = -25\/12 - d. Which is the second biggest value? (a) 1 (b) 0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 3*y + 1631801*y**2 - 1632162*y**2.\nAnswer: -361*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 + -10 - 28) + 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -150296.\nAnswer: 3\/150296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*y**3 + 121*y**3 - 71*y**3.\nAnswer: -19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*p + 16 = 0, 11*p + 18 = -5*z + 12*p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 9*g**2 + 4*g - 3. Let r be j(-8). Let y = 74 - r. Calculate the highest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (28\/(-35))\/((-4)\/(-10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15.1, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11429 = -3*w - s, 2*w + 70*s = 69*s + 7620. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4725 - 3751. Calculate the smallest common multiple of 16 and h.\nAnswer: 7792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 8*h + 4*b + 8648, -4*h = -2*b + 17266. What is h rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*f**3 + 22*f**3 + 210*f - 442*f + 232*f.\nAnswer: 115*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 4 - 4)*(a**3 + 2*a**3 - 4*a**3) + (5 + 2*a - 5)*(2*a**3 - 3*a**3 + 4*a**3).\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 316, -1523, -114 in decreasing order.\nAnswer: 316, 1, -114, -1523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*p - 2, -4*l - 11 - 6 = 5*p. Let n = -6477 + 6485. What is the least common multiple of n and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -17*i**6\/120 + i**5\/30 + 5*i**2 - 13*i. Let s(x) be the first derivative of y(x). Find the third derivative of s(o) wrt o.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 4) in base 3?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 212.92 and -0.46405?\nAnswer: -98.805526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 - 4*r**5 - r**5 + (-4*r**3 - r**4 + 4*r**3)*(2*r + 2*r - 2*r).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -172 (base 13) to base 11\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zszokuzzssszszszuz?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a micrometer in nanometers?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010819123 to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-15 - 410\/(-20) - -15)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppk when four letters picked without replacement from {p: 13, k: 6}?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -5) + (9 - (-17 + 8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6 = 3*o + 23, -5*t + 4*o + 178 = 0. Let a = 21 + -8. Suppose 0 = -3*z + t + a. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 22*f**2 + 4. Let r be t(11). Let n(v) be the second derivative of 1\/2*v**2 + 0 + 1\/12*v**3 - 1\/24*v**r - 7*v. Suppose n(b) = 0. What is b?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 36 = 841*r - 848*r, 0 = -2*s + r + 20 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1326*t + 10162. Let c be z(-7). What is the greatest common factor of c and 3696?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Let x be (-3)\/4*(-2)\/3. What is the biggest value in -0.3, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*o - 18 - 5. Let z = 0.5 + -3.5. Which is the biggest value? (a) o (b) z (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + 77. Suppose -272 = -4*d + 2*c, 5*d + 3*c = 3*d + j. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**2 + 5*p + 1. Let u be h(-1). Suppose 9*i - 3996 = u*i. Calculate the remainder when i is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 463088560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 19548*a**2 + 195632*a - 469632.\nAnswer: -2*(a - 6)*(a - 4)*(a + 9784)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.06, -4, 2\/5, -2 in descending order.\nAnswer: 4, 2\/5, 0.06, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17716 divided by -2?\nAnswer: -8858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(550) + sqrt(550)*1)\/sqrt(10))\/(sqrt(99) + (1*sqrt(99) - sqrt(99)) + sqrt(99)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c + 1. Let x(k) = -k - 5. Let u be x(-7). Let n be h(u). Let v(j) = -3*j + 3. Let z(a) = -5*a + 5. Let o(r) = -8*v(r) + 5*z(r). Calculate o(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 4*g**2 - g - 1. Let c be t(3). Factor p - 6 + c*p + 15*p**3 + 24*p**2 - 3*p.\nAnswer: 3*(p + 1)**2*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a centimeter in micrometers?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 12*x**2 + 7*x + 21. List the prime factors of s(12).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124219169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9374.1046 rounded to the nearest ten?\nAnswer: -9370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -37180565 plus -0.19424709?\nAnswer: -37180565.19424709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*l + l - 2*x, 0 = l - 4*x + 1. Let u = l + -5. Let n = 18 + -9. What is the least common multiple of n and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 0 + 0\/1. Suppose a = z - 12 + 2. Find the common denominator of ((-8)\/6)\/(z\/87) and -81\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*m - 378 = -43*m. Which is smaller: -166\/9 or m?\nAnswer: -166\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12518\/3276 + 8\/14. Let j be (-547)\/273 + 2 + 0. Let c = j + y. Find the common denominator of 85\/4 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975679361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 33*t**2 + 75*t - 39.\nAnswer: -3*(t - 1)**2*(t + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45468 (base 9) to base 13.\nAnswer: 10a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 4*y + 9 - 39, 2*t - 5*y + 9*y = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3178 (base 9) to base 11.\nAnswer: -1837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*c = -15166 + 2734. Sort 0, -22, c in descending order.\nAnswer: 0, -22, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157574517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -61, -127, -217?\n\"Answer: -12*y**2 - 6*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = -12, -r = 3*c - 18352. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017 times -0.1?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*v + 121. Is 34 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(4536) - (-2*sqrt(4536) - sqrt(4536))))\/(6*sqrt(24)\/sqrt(3)*-4) + -5.\nAnswer: -5 + 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 528461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3520 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 15 = -5*c. Suppose -c*f + f - i + 135 = 0, -4*f + 3*i = -123. Solve -3*j + 8*j = 2*z + f, -2*z - 3*j = -7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**6\/90 - r**5\/6 - 2*r**4\/3 + 65*r**3\/3 - 28. Let u(d) be the third derivative of n(d). Factor u(f).\nAnswer: -4*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - z + 7, 5*l - 4*z - 3 = -24 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 23. Let c = -47 + 85. Let b = q + c. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(1\/4))\/((o\/o**(-11)*o)\/o) assuming o is positive.\nAnswer: o**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431334303 (base 5) in base 11?\nAnswer: 2150069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 259, 1531, 3809, 7093, 11383?\n\"Answer: 503*f**2 - 237*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -0.08, -0.061, 0, -45.\nAnswer: -45, -0.08, -0.061, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/9 - 434*m**4\/3 + 50689*m**3\/9 - 29324*m**2 + 198988*m\/9 + 171632\/3 = 0. What is m?\nAnswer: -1, 3, 4, 34, 1262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/6 and -25\/152.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99*n**4 - 1653031*n**3 + 312437965 wrt n.\nAnswer: 396*n**3 - 4959093*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -48.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -629?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 14*n - 10*i = 41, 83*n + 2 = 82*n - i - 12 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 59*w - 3. Is o(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 21 = -5*s. Let c(a) = 3 - 4*a**3 - a + 0*a**3 - s*a**2 + 3*a**3. What are the prime factors of c(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -356*c + 1112. Give p(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20678897543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 + 3 + 12*y - 3*y**3 + y**3 + 7*y**2. Let h be v(-4). Suppose -b - 2*n + 3 = 0, h*b - 8*b + 5*n - 45 = 0. Is -7 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75389.\nAnswer: 75389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 774*f**2 - 2*f. Let i(p) = 2*p. Determine d(i(z)).\nAnswer: 3096*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Factor g**3 + 3*g - 3 + 4*g**w - 8*g**3 + 3*g**2.\nAnswer: -3*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 + 21*b - 102. Is i(-35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -99167, 25, 19 in descending order.\nAnswer: 25, 19, 3, -3, -99167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 79*f + 18040. Calculate g(-194).\nAnswer: 2714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -278 + 411. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 685165474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**4 + 145*k**3 + 976*k**2 wrt k.\nAnswer: 96*k + 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - p**2 + 7. Calculate the remainder when 11 is divided by d(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750195 is divided by 150.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -222778 divided by -9686?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8767 and 102.683?\nAnswer: 900221.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -330 divided by 11.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.16 - -11.84. Let m = 15 - c. Let h = -0.2 - 0.2. What is the nearest to -0.2 in 0.2, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 10:44 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -0.5, 2\/5, 2\/117, 0, -48?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 37, 55?\n\"Answer: 18*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10339 divide 2677728627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -14546*i**2. Let s(c) = -2922*c**2. Determine n(s(o)).\nAnswer: -124194969864*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -0.00336\nAnswer: 0.0002688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*u**3 - 75*u - 28 wrt u?\nAnswer: -138*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60 - -2?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 3122*z**5\/5 - 1645*z + 4592. What is the derivative of j(s) wrt s?\nAnswer: 12488*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54100 + 33442 + 17315 = -2231*s for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 50 - 50 + 2*j. Let k(m) = 6*m - 11. Let h(b) be the second derivative of b**3\/6 - b**2 + b. Let q(f) = -22*h(f) + 4*k(f). Give q(s(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(343) + 4 + 0 + sqrt(7).\nAnswer: -20*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2. Let m(d) = 628*d + 18 + 9 - 1 - 26. Give m(z(n)).\nAnswer: 628*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 507 and 5901?\nAnswer: 997269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11303 - -221033?\nAnswer: 203130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/((((q*q*q\/(q\/q**27)*q)\/q)\/q)\/q)*q*q*q*q*q*q\/q**19*q*q assuming q is positive.\nAnswer: q**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/x)\/(x**(2\/23)\/x)*(x**(-2\/3))**(3\/20) assuming x is positive.\nAnswer: x**(-273\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.396 + 9. Let u = z - -0.39600369. Round u to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*d - 18 = 4*d, -6 = c - d. What is the units digit of 3\/c - 30\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y = -5*y + 48 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 + 32*w**2 - 8*w - 33. Calculate the remainder when 4262 is divided by c(10).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k - 3. Let t(d) = -14*d + 3. Let b(r) = 7*g(r) + 6*t(r). Let a be 12\/(-16)*-4 + -1. What is the remainder when 32 is divided by b(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 + 8*r**4 - 25*r**3 + 38*r**2 - 28*r + 8.\nAnswer: -(r - 2)**3*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 19*z - 5. Is k(-14) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**3\/3 - v**2\/2 - 6*v + 370. What is t(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 295*c - 294*c. What is the remainder when 623 is divided by c?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.20818 + -0.10818. Put -72, -8\/9, f, 0.5 in descending order.\nAnswer: 0.5, f, -8\/9, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*s - 3*q, 5*s - 3*q = 10*s + 36. Is (-69)\/(-46)*(-2980)\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t - 6608121 = -3*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5854, 0, 0.01 in decreasing order.\nAnswer: 0.01, 0, -9, -5854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*m - 82. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p. Let m(i) = -1. Let x(n) = -6*n + 2. Let s(q) = 2*m(q) + x(q). Give s(t(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20200220 (base 3) in base 15?\nAnswer: 16a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2213856 divided by -5?\nAnswer: 2213856\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353778189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 0, 0*a + 4*a - 3*y - 104 = 0. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*(-18)\/(-306)*-1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**2 + 0*b**3 - 2*b**3 - 3*b + 3*b + b in the form q*b**3 + x + k*b**2 + z*b and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j + 7. Let a(w) = -w + 1. Let l(m) = 14*a(m) - 2*q(m). Let g(p) = -19*p**2. What is g(l(s))?\nAnswer: -76*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231 and 83391?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 48 = 4*u, -36 = -3*x + 2*u - 5*u. Calculate the greatest common divisor of 1164 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4 + 1. Let h = 13 - g. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -2*f**3 - 5*f**2\/2 - 30*f - 1. Let z(y) = 15*y. Calculate z(v(j)).\nAnswer: -180*j - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -44. Let u be 8\/16*(2 + 6). Suppose -4*c + z + 7 + 2 = 0, 2*z + 6 = u*c. Calculate the greatest common divisor of c and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l - 3*l - 25137 = 5*l. Calculate the highest common divisor of l and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*r = 156200, 10878 = -3*o + 5*r + 128015. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*s = 100*s + 55. Let z = -12 + 11.65. Which is the nearest to z? (a) 1 (b) s (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3 - 3 - 3*m. Let v be (11 + -9)*6\/4. Let w(f) = -10 - v + 21 - 8 - 3*f. Give p(w(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 898.069 millennia?\nAnswer: 8980.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(21)\/(sqrt(7)*2) - (sqrt(3) - (-2 + sqrt(432)))).\nAnswer: -6 + 23*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 5*r**3 - 19 + 49 - 12.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjfftfjtjjjtjtjjt. Give prob of picking 2 f and 1 t.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -2*g**3\/3 + 2*g. Let c be h(6). Let n = c + 41. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*v - 19. Solve 0 = -3*t + 5*l + 4, t - l = -3*t - v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1040633*v**2 + v - v.\nAnswer: -1040633*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1444 + -1449. Let i(z) = -7*z**2 - 5*z + 8. Let f(j) = 8*j**2 + 5*j - 9. What is c*f(o) - 6*i(o)?\nAnswer: 2*o**2 + 5*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-11)\/110*-5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 287. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {f: 1, w: 5, o: 1, z: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152 - 143. What is the greatest common factor of r and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + r**2 - 1. Let o(s) = 3*s**3 - s**2 + 45*s + 1. Let l(x) = -a(x) - o(x). Find the second derivative of l(n) wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 70, -1\/7, -46 in ascending order.\nAnswer: -46, -1\/7, 0.5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30 + -27 - (-1 + 4). Which is smaller: w or -8\/35?\nAnswer: -8\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 24*s**2 + 44*s - 45. Let d(l) = 13*l - 2. Let n be d(2). What are the prime factors of u(n)?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 2909.\nAnswer: -2915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*f = -116, -2*y + 4*f - 56 = -4*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**5 - 655*c**4 + 3165*c**3 + 1376575*c**2 + 1372750*c = 0.\nAnswer: -38, -1, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 p, and 2 v when four letters picked without replacement from rvvvrpfoff?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -20. Let s = y + 17. Suppose 0 = 4*o - 309 - 87. Calculate the greatest common divisor of s and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - 86. Let i(l) = -l. Let y(b) = b. Give q*i(d) - y(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 + 3*g**2 - 5*g**2)*(-5 + g + 5) + g**3 - g**3 - 2*g**3 + 575*g**3 - 2384 + 2384 to b*g + a + y*g**2 + o*g**3 and give o.\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19531726 is divided by 2498?\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 101\/23, -2\/11, 4, 63?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45846353 is divided by 1949?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2289 and 874725.\nAnswer: 6123075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - n**2 - 61*n - 47. Calculate r(8).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.5 + 9. Let f = -3.8 + 1.3. Let g = h + f. Which is the second biggest value? (a) 5 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 12*y + 44. Let m be r(6). Solve -m*x + 50 = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10\/13 + -73\/78. Let n = 13.59 - 14.09. What is the biggest value in -3, 0.1, j, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - l + 3*l)*(2 + 0 - 5) - 23*l - 137*l - 73*l.\nAnswer: -227*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 589222854 to the power of 1\/3, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2, 4 = 2*n + 5*i - 7. Suppose -n*d = -49 - 32. Let q be ((-5625)\/d)\/(1\/(-288)). What is q rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -1\/272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2322*j - 1641\/4*j**3 - 1377 - 3\/4*j**5 - 183\/4*j**4 - 5841\/4*j**2 = 0. Calculate j.\nAnswer: -51, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24298469 and 298620?\nAnswer: 24597089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525378.\nAnswer: 2, 3, 7, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 10:06 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -91\/50?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -47*k - 30. Let i(m) = 6*m**2. Give i(l(x)).\nAnswer: 13254*x**2 + 16920*x + 5400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*b - 78725 = 85087. Is 66 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g - 3. Let i(p) = -p + 1. Suppose 2*n - 21 = 5*v, -5*n + 3*v + 29 = 5. Determine n*i(d) + t(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (5 - 2 - ((0 + 3 - 10) + 18))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -11*s**3\/6 - 5*s. Let g(z) = -z. Give x(g(k)).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 34*y + 88. Let t be i(19). Put 6, -4, t in decreasing order.\nAnswer: t, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -1?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7444\/11 + -1357\/2. What is the common denominator of 12\/121 and d?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*p + 296, -4*m = -5*p - 973 + 337. Solve 5*y - 2*r + 5 = 0, 3*y - 153*r + m*r - 8 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14409*g = -12571*g + 172772 for g.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) + 12298\/42. Let b = z - 294. Let v be 2\/(-110) - 1*(-2)\/(-11). What is the biggest value in b, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6755*t**2 - 645 - 6752*t**2 + 1410*t + 695 + 1357 = 0 for t.\nAnswer: -469, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75652 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or -5610?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from {y: 1, j: 1, t: 1, o: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 19. Let b be q(-16). Suppose 4*f = 3*j + 2*j - 90, b*f - 81 = -3*j. Let l be ((-24)\/(-30) - j\/(-10)) + 1. Solve 0 = -l*p - 0*p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31200 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3100 and -61\/574275.\nAnswer: 2297100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8*v**2 + 135. Let w(b) = -10*b**2 + 137. Determine 4*u(r) - 3*w(r).\nAnswer: -2*r**2 + 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13329 times -0.5\nAnswer: -6664.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/15561 and -149\/342.\nAnswer: 31122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4206645ng in micrograms?\nAnswer: 0.0004206645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + h + h + h**2 + h - 10. Suppose 0*p - 4*p = 0. Calculate a(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*u - 3*u + 3*u + u as j*u + r and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**5 - v**3 + v + 1. Let c(s) = s**5 + s - s**3 - 1 + 0*s**4 - s**2 + s + s**4 + 3. Let f(z) = c(z) - 2*i(z). Factor f(l).\nAnswer: -l**2*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/72*20*(-4)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/sqrt(588) - sqrt(35)) + 2*sqrt(315))\/(-3*(sqrt(112)*-1 + sqrt(112) + sqrt(112) - sqrt(112)) - sqrt(112) - 4*(-1*sqrt(112) + sqrt(112))).\nAnswer: -9*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100000101001 (base 2) to base 5.\nAnswer: 430002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3466016, 3466020, 3466024, 3466028?\n\"Answer: 4*i + 3466012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssasssaassssasssssa. What is prob of picking 1 s and 1 a?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27411708 is divided by 27411678?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5210, -4, -3, 4, -5, 5, 6 in descending order.\nAnswer: 6, 5, 4, -3, -4, -5, -5210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 - 4*y**2 + 5*y - 5. Let c be f(2). Calculate the greatest common divisor of 319 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3501 + -2412. Let l = 2130 - d. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074\/22554*(33 + 3)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((12\/8)\/(27\/348))\/(5\/360). What is the highest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 227.\nAnswer: -1135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*k - 54246 + 18106, -5*k + 45180 = 5*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, -10, -3, -2.\nAnswer: -10, -3, -2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112424917 to the nearest integer?\nAnswer: 10603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 30 - 9. Solve 0 = 4*s - g*i + 4*i - 25, 5 = -4*s + 5*i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emmkmkqmmkkkmmmmkke. What is prob of picking 1 m, 2 e, and 1 k?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {c: 3, k: 2, l: 2, w: 1, y: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 5, -1\/16, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12558 and 6838728.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137\/822*(-1)\/1*8\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1026 and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -17. Let m = 28 + y. Let s = 31 - m. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -66.5. Let w = -1.8 + 1.81. Let h = w - 5.01. What is the third biggest value in m, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 6\/5*z**2 - 9\/100*z**5 - 1\/4*z**4 + 5*z + 2\/5*z**3 + 0. Factor w(f).\nAnswer: -3*(f - 1)*(f + 2)*(3*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 23?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -1. Let m = 0 + 2. Let s = m + -1. Sort h, s, -3 in decreasing order.\nAnswer: h, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j - 37 + 31 = -126 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d - 51*d + 61132 = 43*d. Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 20*y**2 - 39*y. Let k(t) = -3*t. Determine k(v(f)).\nAnswer: -60*f**2 + 117*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 - c**2 + 4*c**2)*(-2*c + 0*c + 0*c) - 4*c**3 - 5*c**3 + 4*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 29.\nAnswer: 2.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 577 + -572. Suppose p - w*s = 18, 4*s = -4*p - 0*p. Solve 0 = -4*b + 4*r + 4, 2*b = -p*b - r - 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -11.89?\nAnswer: 9.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 589.58 + 153?\nAnswer: 742.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -40*v. Let q(w) = 11*w + 84. Calculate a(q(x)).\nAnswer: -440*x - 3360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 5000444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 882 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdvpdvocgdoodvdddcvo. What is prob of sequence ogp?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1138488, 30 in increasing order.\nAnswer: -1138488, -0.1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4560 divided by -912?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 11 + -2)*84\/(-98). Let v be 8*(4 + a - (-19)\/(-4)). Let f = v - -108. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42 + 66*l - 4 + 5 wrt l.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004995 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 14, 27, 44?\n\"Answer: 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 264091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 36. Let a = j + 15. What is the second smallest value in -5\/2, 0, a?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4726 - 5179 + 9905 - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 105. Let q(g) = -10*g - 5*g + 17*g. Let b be q(3). Solve b*i - i + 3*f = 19, 0 = -4*i - 3*f + l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 13*t + 2. Give l(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659 divided by -3?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 19 = -6*o. Solve 2*w + 15 = o*t, -5*w - t + 15 = 2*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*q + z, 2*q + 2*z = 7*z + 4. Suppose -6 = -d - q. Put -3, 2, d in ascending order.\nAnswer: -3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -7\/4*g**4 - 13 + 2\/3*g**3 + 0*g**2 + 0*g. What is the third derivative of w(c) wrt c?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2966411?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p - 671. Let g(i) = 18*i**2. Calculate f(g(b)).\nAnswer: 126*b**2 - 671","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -27. Let j = -288 + 261. Let x(i) = -i**3 - 1. Determine j*x(m) + c(m).\nAnswer: 27*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c + 7 - 7)*(33*c - 36*c - 19*c)*(5*c - 3*c - 3*c) in the form b + z*c + p*c**2 + k*c**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -3139\/13113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-31)\/(u*u**(-11)*(((u*u**(-1\/2))\/u)\/u*u)\/u) assuming u is positive.\nAnswer: u**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -i + 24, -3*p = 2 - 8. Calculate the remainder when 517 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1384650540 by 35503860.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 1.162, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 58, 64, 50, 10?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10 = 6*t. Let p(j) = 3*j**2 + 5*j - 7. List the prime factors of p(t).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 - -151. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h - 4*h + 4 - 3. Let y be u(-2). Solve p + 0*p - y = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + x = -105, -16032 + 15959 = 2*k + 21*x for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 15*w + 1. Let n be m(14). Suppose -8*s + 3*s = -n. Let x = -28 + 43. Solve 0 = -4*z - 5*q + x, s*q = 2 - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) -17 (b) -0.43 (c) 1 (d) 3 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -8. Suppose 6 = -o - 0*o. Let d = 2 - o. Calculate the greatest common factor of d and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m - 2 + 6*m - 4*m**2. Let z(x) = x**2 + x. Suppose 0 = -o + 5, 2*o = 5*q. Suppose 0 = -h + q. Determine h*z(c) + v(c).\nAnswer: -2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 2*c**7\/3 - 3*c**3\/2 + c**2 + 68*c. Find the second derivative of o(r) wrt r.\nAnswer: 560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396878, 396877, 396876?\nAnswer: 396875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -107*w - 271. Calculate the least common multiple of 90 and o(-3).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1247*i**4 - 407 wrt i?\nAnswer: -4988*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*z + 4*z - 12*z)*(4 - 1 + 0) to o + g*z and give g.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -15*h**2 - 282*h - 182. What is g(-18)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-2 - 4) + -43 + 31 + 23 + -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3031\/3 + 1010. Let j = 13 - 8. Which is the nearest to 5? (a) j (b) 0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1885674 and 25\/98412.\nAnswer: 222509532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1197 or -1196?\nAnswer: -1197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 12 = -5*g. Let r(q) = q + 2. Let m(n) = -2*n - 4. What is g*m(i) - 9*r(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10094, 10096, 10098, 10100?\n\"Answer: 2*g + 10092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16945722?\nAnswer: 2, 3, 941429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0 + 1\/2*m**2 - 2*m + 7\/6*m**3. List the prime factors of f(2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 - 4*g**4 + 2*g**4 + (-4*g + g**2 + 4*g)*(-g + g**2 + g) + 23*g**4 - 47*g**4 + 28*g**4.\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from wwac?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2613, -5200, -7777, -10338, -12877, -15388, -17865, -20302?\n\"Answer: s**3 - s**2 - 2591*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*a + 80, -3*a + 5 + 1 = 0. Let k(p) = p**2 + 4*p - 7. Let t be k(-5). Does 18 divide 0 - (-1)\/(t\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 16 = -80. Suppose -2*t = -4*t + s. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/l**(-1))*l*l*l))**21)**(-4\/19)\/((l*(l\/(l*l*l**(-2\/5)\/l))\/l)**(-40))**(-21) assuming l is positive.\nAnswer: l**(-6300\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 + 30*v**2 + 8*v - 27. Let t be a(7). Solve -t*j + 124*j - 21 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 161615 and -4.\nAnswer: 161611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14.8 and 568.20782.\nAnswer: 553.40782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cclcuuculllc. Give prob of sequence cl.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 230935349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(1323)*-2)\/((sqrt(144)*4 - sqrt(144)) + sqrt(9)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.01278 times -49\nAnswer: 0.62622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.05 - 27.05. Put -231, w, -7 in descending order.\nAnswer: w, -7, -231","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 51.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1294, -1299, -1304, -1309, -1314?\nAnswer: -1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - 24 - 2*t**3 + 2*t**3 - 2*t**3 - 2*t**2 to u*t + z*t**2 + w + y*t**3 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 3, s: 17}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugxgvul. Give prob of sequence lv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 216017246 * 0.2\nAnswer: 43203449.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2211514 * -5\nAnswer: 11057570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -608*z. Let d(a) = -32*a. Let w(f) = -56*d(f) + 3*k(f). Let r(q) = 2*q**2. Determine w(r(p)).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.0601377 rounded to the nearest integer?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 8*n + 10. Let m be r(9). Which is the fourth smallest value? (a) 0.2 (b) -1 (c) 3\/7 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1.98. Let d = v - 3.02. Let o = -3.7 - -4.1. Which is the second smallest value? (a) 1\/5 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -17. What is the closest to 0 in 2\/9, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0 + 0)*(-2*o + 2*o + 2*o) - 3*o**2 + 8*o**2 - 3*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((11\/34)\/1). Let f = m - -472\/55. Factor -f*c + 8\/5 + 6\/5*c**2 - 1\/5*c**3.\nAnswer: -(c - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*q + 2. Suppose -2*s - 4*h = -4, 4*s + 2 - 10 = -3*h. Let w be 8\/s + (-5)\/(75\/66). Which is the closest to -2\/7? (a) w (b) q (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 76 = 5*j, 1001*c + j + 53 = 1006*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 925949, 925948, 925947, 925946?\nAnswer: 925945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19080\/(-19100)*2 - (-4)\/2. Let v = 3802\/8595 + b. Solve 2\/9*q**2 - v*q + 2\/9*q**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 - -0.02. Let d = 0.1182 - t. Round d to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y, -2*s + 90 = -3*y + 2*y. What is the third derivative of 39*c**2 + s*c**2 - 29*c**4 - 83*c**2 wrt c?\nAnswer: -696*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.3. Let f = 5 + -4.5. Which is the closest to k? (a) 1 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 324 + -187. Let h = -137.2 + u. What is the closest to 1 in 3, -11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -36.2423?\nAnswer: -41.2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1183515 = -39*a + 4832008 + 382118. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, q: 4, v: 1, g: 1, o: 5, t: 3}. Give prob of sequence vqgj.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0*i - 2*i - 21, 5*i = 5*o - 30. Solve -o = -t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86850 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -12*g - 55. Let k be m(-9). Suppose 48*f - k*f + 3995 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(13) + 0 + sqrt(13))**2*-2*-2.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -688*g. Let y(i) = 4*i + 5. Let v(n) be the first derivative of -5*n**2 - 12*n + 207. Let j(s) = -5*v(s) - 12*y(s). Calculate o(j(p)).\nAnswer: -1376*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -2. Let m be (-6 - -2)*q\/(-4). Is -2*m\/(-4)*-19 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -19*h**2. Let m(c) = -299984*c**2 - 3*c. Give m(j(l)).\nAnswer: -108294224*l**4 + 57*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 3*k + 13. Let d be a(5). Solve -s = -4*s - d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44104 at most as big as 926203\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**3 - 8*l - 5. Let z(a) be the first derivative of 2*a**4 - 9*a**2\/2 - 6*a - 44. Calculate 6*p(d) - 5*z(d).\nAnswer: 2*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9268497t?\nAnswer: 926849.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(3))**2 + (sqrt(150)\/sqrt(5) + sqrt(30))\/sqrt(10) - (sqrt(3)*5 + 5)*3.\nAnswer: -13*sqrt(3) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 70, 304, 696, 1246, 1954, 2820?\n\"Answer: 79*w**2 - 3*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.478 minus 163999703?\nAnswer: -163999701.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:37 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210101211 (base 3) to base 15.\nAnswer: a6c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34282*g**2 - 10960*g**2 - 10960*g**2 - 12364*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 - 497*a**3 - 5 - 34*a + 6*a**2 - 14*a**2.\nAnswer: -497*a**3 + a**2 - 34*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64398 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 6*j - 5. Let y be v(-7). Factor -h + y*h**2 + h + 4 - 4*h - 2.\nAnswer: 2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 419.2303t to milligrams.\nAnswer: 419230300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/27)\/(28\/1008)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, -4, -13, -38, -85, -160, -269, -418?\n\"Answer: -a**3 + a**2 + 5*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009941 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*p + 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54)\/(-24) - 2\/8. Find the first derivative of -5*s + 0 - n - 3 wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 3. Let j be y(-14). Let r be (-1 + 31)*(2 - 1). Suppose 3*l + t = 2*t + j, 0 = 2*l + 4*t - r. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 8 = f, 2*f = -5*n - f - 18. Suppose j - 9 + 2 = 0. Let m = j + n. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 33 = -4*a, -3*a = 3*s + s - 26. What is the second derivative of -a*r**3 - 4*r**3 + 4*r**3 + 6*r wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 - 841732.\nAnswer: -841792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22106?\nAnswer: 2, 7, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*x + 637 = 347*x - 444 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -13011222304?\nAnswer: 13011222302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 15) in base 12?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*k + 13 + 12, 5*k = -2*g + 25. Suppose -k*m = -10 - 45. Suppose m*d - 6*d = 75. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 - 4*m**2 + 3*m = 0 for m.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/1018?\nAnswer: 1\/1018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-23\/3)\/z)\/((z\/(z**20\/z))\/z)*(z\/(z\/(z\/z**(-1\/3))))**34 assuming z is positive.\nAnswer: z**(167\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 966881 = -67*j + 2*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 6*c = -9*c. Let j(r) = r**2 + c*r + 15 + 5*r - 13. What is j(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69027613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-148)\/(-555))\/(2\/5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6719758189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -348, -1038, -2196, -3828, -5940, -8538, -11628?\n\"Answer: -j**3 - 228*j**2 + j - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 20374?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/5 - 6*v**4\/5 + 2484*v**3\/5 + 32824*v**2\/5 - 75504*v\/5 = 0.\nAnswer: -22, 0, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77427, 77425, 77401, 77343, 77239, 77077, 76845, 76531?\nAnswer: 76123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -145*w**5\/4 - 4*w**4\/3 + 3*w + 369. What is the third derivative of a(z) wrt z?\nAnswer: -4350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6718, 53772, 181478, 430156, 840126?\n\"Answer: 6720*n**3 + 6*n**2 - 4*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 243.7 + -244. Let d be 1 + 1 - (-2)\/2. Let w be d + -1 - (-16)\/(-7). Which is the nearest to -2\/5? (a) -5 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*o + 6, -2 = h + 5*o + 7. Let n(m) = -2005*m**3 + m**2. Let u be n(h). What is the units digit of (1\/3)\/(8012\/u + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*x - 14*x - 10 - 11*x - 82*x.\nAnswer: -x - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**2\/7 - 20*a = 0.\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 8*m**2 - 61*m - 420. Give u(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.604 plus 91?\nAnswer: 114.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-2) - 4256073\/827088*2. Let h = t + 2\/51693. What is the common denominator of 85\/28 and h?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -15205610?\nAnswer: 15205610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43344 and 15451233.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, -51, -0.7.\nAnswer: -51, -3, -0.7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Suppose v = -d*v. Suppose 3*z + 4*q + q - 3095 = v, -4 = -4*q. Round z to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6411.128l in millilitres?\nAnswer: 6411128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -2*n - 3*h, 12*n + 2*h = 10*n + 96. Calculate the highest common factor of 20 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.855 - -4.055. What is the smallest value in f, 0.01, -0.4, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - 10. Let a = p - -28. Let g be 3 - (-1 - a - -3). Solve -5*h + g = 4*d + 14, -4*d - 8 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141810364 divided by -141810364?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 183197\/108 - 1\/(-4). Let l = v - 3985163\/2376. Let z = 129\/8 - l. What is the common denominator of z and 27\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h**2 - 6*h - 6. Let m(c) = -c**2 - c - 1. Let j(g) = f(g) - 6*m(g). Let l = 3 - 2. Let x(o) = -1 + l - o**2. Calculate j(x(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 251, 522, 793, 1064, 1335?\n\"Answer: 271*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 16 = -9, c - 5*h + 22 = 0. Find the third derivative of -9*y**2 - 7*y**2 + y**2 + 3*y**2 + 2*y**c wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16658 + 16705. Solve 6*v + 159 = -z*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**5\/6 + 161*u**4\/6 - 65*u**3 - 1559*u**2. Determine z, given that j(z) = 0.\nAnswer: -65, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*k + 9 = 5*z, 5 = z + 2*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((7\/(-14))\/(2\/(-16)))\/4. Let a(m) = -2*m**2 - m. Calculate a(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -447 - -446.97108. What is p rounded to 3 decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-720)\/88 - ((-25)\/77 - 5\/(-35))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1890?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 300*i**2 - 303*i.\nAnswer: 3*i*(i - 1)*(i + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*o + 25 = 0, -5*r + 11 - 30 = -3*o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -600583*x**6 - x**5 - 2112653*x**2?\nAnswer: -72069960*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30702, -122835, -276394, -491385, -767814, -1105687?\nAnswer: -1505010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0108, 1\/2078, 3, -2\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + sqrt(76) + sqrt(19) + 2 - (-1 + sqrt(19) + (sqrt(209) + -2*sqrt(209))\/sqrt(11))).\nAnswer: 7 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12802 by 6.\nAnswer: -6401\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*s + 29 = -0*s, 2*z - s - 13 = 0. Suppose y = 0, -z*d + 2*y + 64 - 4 = 0. Suppose -a + d = 10. Solve -a*v = -0*v - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -13. Let j = -556 + 556. Solve j = q + m*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**4\/9 + 160*l**3\/9 - 4268*l**2\/9 - 385840*l\/9 + 397150\/3 = 0.\nAnswer: -65, 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, r: 1, x: 2, a: 3, v: 2}. What is prob of picking 1 i and 1 x?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2795222404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18801?\nAnswer: 3, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.563 rounded to zero decimal places?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + t**2 + t + 1. Let x be 1\/2*(-16 + 6). Let f(d) = d**3 + 5*d**2 - 6*d + 1. Calculate the remainder when f(x) is divided by q(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20922 is divided by 6939?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -4. Suppose d = 2*j + 8, -4 = -3*d + 5*j + 18. Put d, -2, m in decreasing order.\nAnswer: d, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8697 by 1322.\nAnswer: 8697\/1322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 12?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 - 0.02. Let l = -0.149 + f. Let n = 0.057 - l. What is n rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 5 (c) -264\/329 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 3*v**2 - 7*v - 10. Let r be g(-4). Let z be -3*((-8)\/(-6))\/r. Let u be (z - -1)*2 - -3. Let k(a) = -7*a**2 + 2*a - 1. Calculate k(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25235 (b) -10 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**10*k\/(k**(4\/7)*k)*k*k*k*k)\/((k*k\/(k\/k**(1\/3)))\/k**(6\/7)))**(-42) assuming k is positive.\nAnswer: k**254","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:20 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 11*l**2 - 28*l - 9. Give n(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6246*c - 3165 wrt c.\nAnswer: -6246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.066, 4.52, 0, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452 divided by -1.\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1006979000 to the nearest one million.\nAnswer: 1007000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -55*n**3 + 17*n**2 + 17*n - 93. Let i(y) = -18*y**3 + 6*y**2 + 6*y - 31. Let q(p) = -6*g(p) + 17*i(p). Differentiate q(t) wrt t.\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1 = -11. Suppose 0 = q - 2*q - a*r + 17, 0 = -r + 5. Let z(k) = -k**2 - k + 2. Determine z(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(76) + 3)*-1 + -3.\nAnswer: -2*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**3 - d**3 - 2*d**3)*(7*d**2 + 0 - 10*d**2 + 1) - 2*d**2 + d**5 + 2*d**2.\nAnswer: -5*d**5 + 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**7\/70 + 13*i**6\/120 - 49*i**5\/60 + 47*i**4\/24 - 7*i**3\/3 + 88*i**2. Factor s(u).\nAnswer: (u - 1)**2*(u + 7)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 3:39 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1258 - 1011. Calculate the remainder when k is divided by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -105, -6720, -24665, -59604, -117201?\n\"Answer: -944*k**3 - k**2 - 4*k + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6814066 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -60925, -2 in decreasing order.\nAnswer: -2, -3, -60925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0242 - -0.0246404. What is n rounded to five dps?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5 + 15*m**4 - 27*m**3 - 231*m**2 - 336*m - 144 = 0. What is m?\nAnswer: -4, -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/(-6))\/(225\/(-150))*(525\/14)\/25.\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/96*8*-8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884489 is divided by 221?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 1. Let p(f) = f**3 - f. Let o(w) = p(w) - 3*q(w). What is o(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-113)\/(-1356)*(1 + 3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20*81366\nAnswer: -1627320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.029 rounded to 1 dp?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 593.1 and 3353879294?\nAnswer: 3353878700.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/120 - k**4\/3 - 2*k**3 + k**2 + 205*k. What is j(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 1. Let r = -22395 - -22536. What is the remainder when r is divided by l(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27870 - 367?\nAnswer: -28237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503638 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6*w + 5*q - 9 = 0, 12 = -4*w + 4*q. List the prime factors of 626 + 1 - -2*(2 + w).\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -152213 and -152212 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009413 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/27)*j*j**(-15))**31 assuming j is positive.\nAnswer: j**(-11780\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -51 + (70 - 52) + 25\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 2*j**3 - j**3 - 1 + 0. Let s(h) = 10*h**3 - 9*h**2 - h - 10. Suppose -5*r = f - 6*f - 75, -5*r + 2*f = -84. What is r*m(t) - 2*s(t)?\nAnswer: -2*t**3 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (272680\/4284 - 62) + 20\/(-14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - 3. Let t = 0.07 + -2.07. Let k = t + 2. Which is the smallest value? (a) k (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 11 - 88 = -4*c, 4*q = -c + 6. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 p when three letters picked without replacement from {n: 8, p: 4, l: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 10:51 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 54.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**2 - 29770772*s + 29770772*s - 2*s**2.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 4. Let t be v(0). Suppose -3*y = -2*h + 584, 4*h - 5*y - 1188 = -t*y. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/5)\/((1206\/45)\/(-67)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzqqzqzbubwkq. What is prob of picking 1 w and 1 q?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 131*j - 692. Let y be c(-5). Let s(u) = -2*u**2 - 21*u + 28. Give s(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9862, -0.2, 3, 2\/3, 12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 22.8. What is the nearest to 39 in -2, 1\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -9*f + 20. Suppose -a = -f*a + 3*b + 222, -4*a - 5*b = -341. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 193*k - 3042. Give m(-79).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -3. Let d be (5\/n)\/(1\/(-10)). Suppose -119 = -d*b + 6. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162 + 3. Are 166 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/16 - (8 - 6). Is -0.6 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 14*b to the form t*b + y and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8371279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2. Let k(w) = -2*w**2. Let d(r) = -3*k(r) - 2*z(r). Let n = 17 + -16. Let y(a) = -a. Let o(p) = 4*p. Let s(c) = n*o(c) + 3*y(c). Give s(d(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from issssppxo. Give prob of sequence sp.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 541377333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 573838355 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 6. Let v be m(6). Let l(a) = a + 7. Let n be l(-8). Let g be n - 1 - 21\/(-3). Solve 2*b + 3*c - g = v, -b - 4 = -0*b - 5*c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, 3, 0, -4, 4 in decreasing order.\nAnswer: 4, 3, 0, -4, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**4\/2 + 4*w. Let c(j) be the first derivative of j**3\/3 + 11. Give y(c(x)).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65668.76 + 65656.759974. Let b = -27 - -39. Let o = b + s. What is o rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 238407?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/(-1638)*24\/((-6)\/3))\/(4\/30).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -1492, -5099, -12114, -23671?\nAnswer: -40904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 43, 66, 87, 106?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymrm when four letters picked without replacement from mayarraamymarra.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -861.0407 + 861. Let c = b + 0.1407. Which is smaller: -522 or c?\nAnswer: -522","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 7*p. What are the prime factors of m(-12)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150602.\nAnswer: 2, 3, 19, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3388, -5349, -8726, -13525, -19752, -27413?\nAnswer: -36514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2406?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 41*b**2 + 168*b - 2081. Determine a(38).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 31, 82, 163, 280?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249 - 3*u - 249.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -274*d**2*m + 11930*d*m + 3*m + 1133423 with respect to d.\nAnswer: -548*d*m + 11930*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97 - 10936*o - 439 + 342 + 5108*o**2 + 5103*o**2 wrt o.\nAnswer: 20422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.42, -3, -330, 0.08?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, a: 1, l: 5, u: 3}. Give prob of picking 1 l and 1 y.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81\/(-135) - (-596)\/10 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6117 divided by -2?\nAnswer: -6117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkw when three letters picked without replacement from {x: 2, y: 1, k: 6, w: 4}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 10212000220?\nAnswer: -10212000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, n: 2, v: 1, y: 1, b: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 441\/(-29 - -8)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -15*j**3 - 3*j**2. Let n(g) = 16*g**3 + 4*g**2 + 1. Give 3*l(d) + 2*n(d).\nAnswer: -13*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1159.22 + 1158.92. Let v = -3 + 2. Sort v, -4, 1\/10, h.\nAnswer: -4, v, h, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1999*h - 6014*h + 2017*h + 2028*h.\nAnswer: 30*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 4:25 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00590442173 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqyyyyhqyiqq. Give prob of sequence hi.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 2165?\nAnswer: -2170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 698, 1395, 2092, 2789?\n\"Answer: 697*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1092 and 4784?\nAnswer: 100464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510256 is divided by 105.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1739022, -1739017, -1739012?\n\"Answer: 5*c - 1739027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -12.132. What is o rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - z**2 + z + 8. Let b be p(0). Let t = -4 + b. Solve -t = -2*f + 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(117)*-4*2)**2 - (-6*sqrt(208) - (sqrt(13) - (-2 + sqrt(13))*-5))).\nAnswer: -44868 - 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 15 = -33 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = 2*f - 2*m + 972, 5*f = 3*m - 3536. Let g = 1354 + f. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1520*w**3 + w - 1480*w**3 + w.\nAnswer: 40*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/15, 0, 4, 4\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14770835609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 = 4*v - m, 3*v + 104 = 4*v + m. Suppose -v*g = -95*g - 952. List the prime factors of g.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 8*d**2 + 6*d + 12. Suppose r - 3*a - 1 = 11, 15 = 2*r + 3*a. Let z be v(r). Let b = z - -142. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190c1 (base 13) to base 8\nAnswer: -136553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -328*k + 25309. Give f(77).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -2*c + 16, -4*c - x = -3*x - 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**2 + 215 + 20*b**2 - 215.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12 = 4*r, 3 = -x + 4. Suppose r*y = 5*l - 6, 4*l - 2 = 6. Find the third derivative of -5*t**2 + 11*t**3 - 10*t**y + 13*t**3 - 7*t**2 wrt t.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(12))**2 - sqrt(3)) + -2 + -3.\nAnswer: -sqrt(3) + 427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*1*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + i - 659 = 189, -4*s = 3*i - 3388. What is the remainder when s is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 7) to base 12.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/((-4)\/269))\/(8\/(-16)). Suppose -5*g + 809 = o. Let s be (-3 - 0)*(-12)\/g. Which is the smallest value? (a) 4 (b) -0.1 (c) 0.3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 5 + -42 - -4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5\/2 - 279*h**4 + 5916*h**3 + 19437*h**2 + 40005*h\/2 + 6762 = 0.\nAnswer: -1, 28, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -2, 3 in increasing order.\nAnswer: -7, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17388 - -17683.204. Let d = -295 + y. What is d rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and -3097.6.\nAnswer: -2787.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 45 - 3. What is the least common multiple of 9 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6064.73 * -0.1\nAnswer: 606.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 8943388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 18\/(-9 - -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -9*p**2 + 241*p + 44. Does 100 divide i(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 12. Let i(d) be the third derivative of -d**6\/120 - d**5\/15 - d**4\/8 + 5*d**3\/6 + 35*d**2 - 3. Calculate i(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 30 = -5*c, 895*k - 914*k = 5*c - 78 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3842013, 3842017, 3842021, 3842025, 3842029?\n\"Answer: 4*g + 3842009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118012, -117998, -117982, -117964, -117944?\nAnswer: -117922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - f**3 - 172 + 3*f**2 + 172.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67026 + 25939091\/387. Calculate the common denominator of 26\/387 and j.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.075 + 3.075. Sort -0.2, a, 9 in descending order.\nAnswer: 9, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11410 (base 5) in base 4?\nAnswer: 31113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1109 - -0.02.\nAnswer: -1108.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.128721 millilitres?\nAnswer: 0.000128721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3202020001 (base 4) in base 3?\nAnswer: 1202001112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11815\/6 - -1969. Which is the closest to -1? (a) 1\/4 (b) 20 (c) -1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.342 + -0.222. Let j = 0.12 - z. Which is the closest to 0? (a) 5 (b) 2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, i: 1, b: 12}. Give prob of picking 3 j.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 119*j**2 - 6 - 1 - 118*j**2 + (-5*j**2 + 3*j**2 + 3*j**2)*(3 + 0 - 5).\nAnswer: -j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 7805120 to the nearest one hundred thousand.\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -130, -115, -92, -55, 2?\n\"Answer: m**3 - 2*m**2 + 14*m - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i*v**3 + 3992*i*y**2 - 29*i*y - 397*v**3*y - 2*v**2*y**2 + 2*v - 169*y**2 with respect to i.\nAnswer: -3*v**3 + 3992*y**2 - 29*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2) - 1178\/342?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4c34 (base 14) to base 11\nAnswer: -a059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 21. Let c = w - 21. Let p = -53.1 - c. Put -1\/3, p, 0, -2 in decreasing order.\nAnswer: 0, p, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -6, 9\/4, 2, -12 in decreasing order.\nAnswer: 9\/4, 2, -6, -12, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/66)\/(20\/88)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -916 and 56212?\nAnswer: -51490192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -106386490 to the nearest one million.\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/32*((-8)\/(-4) - 1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - -2*sqrt(102)*-5)\/((sqrt(54) + sqrt(6))*-6) + 2.\nAnswer: 3*sqrt(17)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.6888486 to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2605*k + 28797. What is p(-11)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2356, -21229, -72454, -172207, -336664, -582001, -924394, -1380019?\nAnswer: -1965052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-4\/7))\/(q\/(q*q*q**3)))**25)**(10\/17) assuming q is positive.\nAnswer: q**(7750\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745 divided by -5?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, 5, 27, -2 in increasing order.\nAnswer: -2, -2\/35, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 0*n**3 - 1\/2*n**4 + 202 - 101\/2*n**2 - 155*n. Find the first derivative of q(m) wrt m.\nAnswer: -6*m**2 - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 19\/3*m**3 - 9*m - 5 + 3\/2*m**2. Differentiate q(b) with respect to b.\nAnswer: 38*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-11)\/(-1) + (-54 - -53))*-1. Is -7 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-4)*1816\/(-3178).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3525 and -17915 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -13, -30, -53, -82?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnd when three letters picked without replacement from {n: 1, d: 2, r: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1821.883959 - 1821.9. Let c = o - -0.016. Round c to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4cab - -b75?\nAnswer: -4136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, 6 in decreasing order.\nAnswer: 9, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.64466 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(768) - (1 + sqrt(768))**2 - (2*sqrt(3)*1 + 1).\nAnswer: -770 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 11*a**2 + 10*a + 5. Let z be (-54)\/(-30)*(-60)\/(-9). Is l(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)*p)**(-1\/9)\/((p*p**4*p)\/(p\/(p*p\/p**(-6)))) assuming p is positive.\nAnswer: p**(-592\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 373668030 by -3.\nAnswer: -124556010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - 1000001111000100?\nAnswer: -1000001110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1281889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -26 and -304 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (244\/(-427))\/((-14116)\/(-14)). Is i not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 9:17 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1358 - -1480.9. Let i = -123 + u. Let c = -5 - -4. What is the closest to i in -0.4, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, 706802, -4 in descending order.\nAnswer: 706802, 0.24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 907000 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4356 in 0.5, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8*l - 2. Let f(o) = -7*o - 2. Let u(s) = -7*f(s) + 6*r(s). Is u(6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 1160512 = -q - 59846. What are the prime factors of q?\nAnswer: 2, 7, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -94, -190, -284, -376, -466, -554?\n\"Answer: t**2 - 99*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 414234 + -1?\nAnswer: 414233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 17185?\nAnswer: 257775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w - 56*w + 10906 - 11137 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2580517258 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40822*q**3\/9 + 50088590*q**2\/9 - 50134324*q\/9 + 4912\/9 = 0.\nAnswer: -1228, 2\/20411, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(3 + sqrt(108)) + 1*(2 + sqrt(108) + sqrt(108)) + (sqrt(108) - (4 + 2*sqrt(108))) + -5)**2 + 0.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -1\/6*w**4 - 11\/6*w**3 + 4 + 11\/6*w - 23\/6*w**2 = 0.\nAnswer: -8, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 11*b - 170 = 0. Let n be (1\/(-2))\/(1\/(-24)). Suppose 380 = -n*c + b*c. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 17*m**2 - 18 - 11*m - 10*m - 23 + 0*m**3 + 0*m. What are the prime factors of w(13)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 4*r**2 + 5*r - 5. Suppose 2*l = 5*x + 35 + 5, 0 = -l + 4*x + 20. Suppose 0*h - l = 4*h. Calculate a(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(1\/15)\/((3\/(-18))\/(-1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-70))\/(5\/20).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(825)\/sqrt(3).\nAnswer: 4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 87107*x**2 - 12*x + 1. Let z be l(-3). What is z rounded to the nearest 10000?\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1 = 3. Let a be (-6)\/(-2) + (g - -1). Suppose -a*d + 0*d + 3 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d**2 - 3*d + 4. Let x(h) = -h**2 - 1. Let s(u) = o(u) + 5*x(u). Let q = 16 - 12. Is s(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**3 - 21*w**3 + 10*w**3 + 1483.\nAnswer: -2*w**3 + 1483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/14*568\/(-213)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 n when three letters picked without replacement from rzvnvzzntv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6. Let z(w) = -w - 6. Let h(d) = 6*j(d) + 7*z(d). Is h(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0833*4\nAnswer: 0.3332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a*a*a*a*a**8)\/a)*a**(-8))\/(a*a**(-9)*a*a**(8\/7)) assuming a is positive.\nAnswer: a**(-92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (10 - 22 - -9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 83843?\nAnswer: 503058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 + 126. Is (-97209)\/(-84)*t\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.7 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 3212?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*q - 0, -n - 5*q + 3942 = 0. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62996 divided by 2.\nAnswer: 31498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1 (c) -0.64 (d) 6.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/50 + (-58)\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-66)\/605*(-20)\/18. Let m = v + -67\/99. Put 0.2, 0.5, m, -0.4 in increasing order.\nAnswer: m, -0.4, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 426 = 18*i. Let k(n) = 16*n + 1. Let f be k(-1). Let o = f - i. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**3 + 3*g**2 + 4*g + 11. Suppose -5*o + 2*i - 17 = 6, 14 = -2*o + 2*i. Let w be z(o). Sort 0, 3\/5, w.\nAnswer: w, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.26 - -0.04. Suppose 4 = i + 3. Let r be ((-18)\/(-15))\/3*i. Sort r, n, 3\/5 in descending order.\nAnswer: 3\/5, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3966*l*p**2 - 100*l*p + 607106771*l + 4*p**2 + 4*p with respect to p.\nAnswer: -7932*l*p - 100*l + 8*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11472 (base 13) to base 3\nAnswer: 1121020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 3*z + z)*(-3 + 6 - 2) - 6*z + 4 + 1 - 3.\nAnswer: -8*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7381?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445473 divided by -3?\nAnswer: -148491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:52 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 1 - 1)*(5 + 2 - 4 + (-3 + 3 + 1)*(3 - 4 + 3) + 1 - 4 + 4).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - 12\/(-4)) + 100. Let n = 58 + r. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*l + 51*l - 75875. Let f = 28238 + l. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - -55 - -18 - (-6 + (102 - 7))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7009*x + 4247*x - 2097*x + 11317*x as f*x + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.067794856 to 5 decimal places.\nAnswer: 0.06779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.7? (a) 6 (b) -2\/519 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 39423.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 25 = 5*g, 2*g = -726*d + 724*d - 18 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -13*y + 333. List the prime factors of q(-6).\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**3\/3 - 2396014*u**2\/3 - 1198010*u\/3 + 399336 = 0.\nAnswer: -1, 1\/2, 599004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -38354 - 3321*t + 76711 - 38355 as j*t + b and give j.\nAnswer: -3321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 74*u**2 + 2*u. List the prime factors of i(-2).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04365, -1\/7, -4, -21.\nAnswer: -21, -4, -1\/7, -0.04365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**5\/10 - 25*j**4\/12 + 7*j**3\/3 + 25*j**2 + 16*j + 4. Let o be h(-13). Solve -o + 32 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-272 + -5))\/(10\/(-15)). Let x = 448 + y. What is the greatest common divisor of x and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1466*z**2 - z. Let d be w(-1). Let y = d + 533. Let s = y - 3919\/2. Find the common denominator of s and -63\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1581716057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6207, 6189, 6157, 6111, 6051, 5977, 5889?\nAnswer: 5787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 20 = 2*g, 0*a + 2250 = -5*a - 5*g + 6*g + 2262 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2515?\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1084370*f**2 - 874942*f**2 - 263513*f**2 + 581821*f**2.\nAnswer: -1641004*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 37. Calculate the remainder when 158 is divided by k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2389, 4785, 7185, 9589, 11997, 14409?\nAnswer: 16825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -2*g + 3\/2*g**3 - 1\/2*g**2 + 0. Suppose 2*u - s + 7 = 0, -u - 2*s + 6 - 2 = 0. Let r(w) = -4*w. Determine u*j(y) - 5*r(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 20*x - 195 - 139 + 88 = 3*d, 3*x - x = -24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27814, 56060, 85152, 115510, 147554, 181704, 218380?\n\"Answer: 70*y**3 + 3*y**2 + 27747*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -63, 846, 2359, 4476?\n\"Answer: 302*h**2 + 3*h - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13418584 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8495, -1, 2, 0, 5.\nAnswer: -1, 0, 2, 5, 8495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -282.9 times 5\nAnswer: -1414.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (19 - 9) + 49 + -26 + 43.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 5*d**2 + 5*d + 2. Suppose 8 = -g + 5*g. Suppose f + 9 = -g*f. Is 5 a factor of w(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*l**2 + 61445*l - 61445*l.\nAnswer: -57*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (234*t + 1893 - 1893)*(-t**4 + 1 + 1 + 2*t**4).\nAnswer: 234*t**5 + 468*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8303400 rounded to the nearest ten thousand?\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -160*i**2 - 191*i**2 + 77 - 76*i + 350*i**2. What is the hundreds digit of z(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 + -2.6. What is the closest to 1 in 4, g, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -0.9. Let a = 15 - 44\/3. Let y = 26 + -53\/2. What is the closest to a in 2\/5, y, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442 (base 14) to base 4.\nAnswer: -31022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 76?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kffk when four letters picked without replacement from {k: 2, f: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. List the prime factors of (5\/15)\/(p\/198).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from asaasaa?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/4)\/(-1)*-2. Suppose -2 = 2*i, x*p - 4 = -i + 10. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*w + 3, -2*w - 2*g = -4*w. Let m = -4 + w. Put -4, 2, m in decreasing order.\nAnswer: 2, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -877, -1877, -2877, -3877?\n\"Answer: -1000*k + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2597787772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -12*s + s. Suppose 4*m - 5*n - 1149 = 0, s*m + 115 - 688 = 3*n. Suppose -m = -4*q + 5*w + 32, 5*w - 139 = -2*q. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762743593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*22\/66?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0243 take away 5?\nAnswer: -4.9757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7638 - 7636. Let z(l) be the third derivative of 0*l + 6*l**r + 0*l**3 + 0 + 1\/24*l**4. Let w(f) = 4*f**2. Calculate z(w(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 70562253.\nAnswer: 1\/70562253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -281965 smaller than -281964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + i**2 + 2*i - 1. What is the least common multiple of q(-2) and (109\/(-2))\/((-87)\/174)?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 1, c: 1, d: 3, u: 1}. What is prob of sequence dqy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -305*u**5\/3 - 608*u**4\/3 + 919*u**3\/3 + 1214*u**2\/3 - 1228*u\/3 + 8\/3 = 0. What is u?\nAnswer: -2, 2\/305, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13.9*-0.2\nAnswer: 2.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -7\/116680467 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = i + 18, -3*m = 2*i + 10. Let o be 2*(4\/i - -2). Let y be (-2)\/(23 + o)*1. Are y and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 17*q - 833. Calculate s(49).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(0 - -2) + 4. Let s(g) = 4*g**2 + 0 + d - 5*g - 1. Does 10 divide s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 942 divide 2737278672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/((-12)\/120). Solve a + 4*a - z = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3226652 divided by 2\nAnswer: -1613326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjgjtjbttgtgtgzj. What is prob of picking 1 t, 1 j, and 2 g?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-6)*(38686\/(-609))\/29\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100010010 (base 2) in base 14?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.3. Let m = 4 - 2. Let q = m + -3. What is the third biggest value in r, q, 1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*94468575.\nAnswer: -94468575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z = 0. Let u be (-4)\/(-2) - z - 1. Let v = u - -30. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*i + 24 = 0, 0 = 2*i + 1 + 3. Calculate the remainder when 0\/1 + s + -2 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.061906 + 4.938094. Let h = 1.1 + -0.1. What is the third biggest value in h, s, 12.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**35*a**(-27)*((a\/a**(-20\/7))\/a)**17 assuming a is positive.\nAnswer: a**(396\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*h**5 + 4*h**4 - h + 10 wrt h?\nAnswer: -340*h**3 + 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*w + 3*f - 154, 2*w = -f + 99. Calculate the greatest common factor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-6)\/12*4)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/13088 and -49\/1279352.\nAnswer: 5117408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/81660 and -73\/80.\nAnswer: 326640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 115574, 4 in increasing order.\nAnswer: -2, 4, 115574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63023603?\nAnswer: 113, 557731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*r - 0*q - 4*q, 21 = 2*r + 5*q. Let z(d) = 5*d - 3. Let k(x) be the first derivative of 7*x**2 - 8*x + 32. Give r*k(i) - 8*z(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -174*d + 1003. Let b be h(5). Let j(y) = y**2 - 7*y - 41. Let z be j(-7). What is the greatest common divisor of z and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43198728 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/(4\/36). Suppose u = a - 8. Calculate the highest common divisor of a and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7190612 millimeters to centimeters.\nAnswer: 0.07190612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 5*f**2 + 6*f - 4. Calculate the smallest common multiple of -4 + 664\/6 - (30\/18 + -3) and z(4).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a8682 (base 12) in base 4?\nAnswer: 11211333002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*t + 270*t + 6 = 0. Factor -2\/5 + 0*r**t + 1\/5*r**3 - 3\/5*r.\nAnswer: (r - 2)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-6) - 4\/6. Let g be 120\/220 + 472\/22 + -16 + 5. Calculate the greatest common factor of g and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 13815?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from epeppp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*f - 3 + 4, 0 = 4*l + 5*f + 1. Let k = 293.5 - 293.7. Sort 6, l, 3, k.\nAnswer: l, k, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2425745 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*b - 5*b. What is the smallest common multiple of b and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 4*i + 11. What is n(-4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 22\/7, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2377 (base 12) to base 7.\nAnswer: 14413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 16 - 24 = 0. Solve r*h - 7*h = -6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22423, 44870, 67319, 89770, 112223, 134678, 157135?\nAnswer: 179594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 - 2*h**3 - 2*h**2 - 7204*h + 7204*h - 5*h**2 to a*h + m + n*h**4 + j*h**2 + y*h**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 - -53. Let i be p\/8*(-24)\/(-15). Let j(x) = 2*x - 1 - 1 + 3 + x**2. Calculate j(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 16. Let o be n(-10). Sort -4, 2, o in ascending order.\nAnswer: o, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7903 + 835 = -30*b - 16*b - 30*b for b.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(245) + -5) + sqrt(245) + (sqrt(245)*2 + -1 - sqrt(245)))**2*4 + 3.\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408 (base 10) in base 9?\nAnswer: 3265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.531 - -0.031. Round g to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -239 + 241. Let u(q) be the first derivative of -q**3\/3 - 2*q**2 - 3*q + 1. Let y be u(-3). Is l >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 697, 1052, 1403?\nAnswer: 1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 1\/5 (c) 1 (d) -27 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(-3 + -2*sqrt(75))*-1 + -2)**2*-4.\nAnswer: -19981 - 4480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1464704 is divided by 1235?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74619641\/144 - -518188. Let g = 26\/9 + a. Calculate the common denominator of -37\/18 and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5379 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -0.1334?\nAnswer: -0.004002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2 + 39*c + 2. Let y be x(-6). Let t = y + 19. Solve p + n = t + 5, p - 5*n = -22 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from zgggggozzzggggog?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 61*w**3 + 7*w**2 - 7*w + 1. Let d(q) = -q**2 + q. Let r(z) = 6*d(z) + x(z). What is the units digit of r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(((-31)\/(-62))\/(2\/(-4)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 2e?\nAnswer: 2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 20902?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - ((sqrt(288) + 0)*-4)**2) + (sqrt(288) + 1)*-1.\nAnswer: -4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 1. Let a be c(-3). Let v(z) be the second derivative of -z**3\/2 + z**2\/2 + z. Let x(p) = -4*p + 1. Determine a*x(i) - 5*v(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1435\/39 - 554\/15. Let k = -609662087\/130 - -4689682. Let r = x + k. Find the common denominator of r and 49\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/((-1)\/6). Suppose 3*d = a + 28, -123*d + 122*d + 4 = a. Solve q*v = v - d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -2.1642?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000212492 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 182?\nAnswer: -3\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93 - (-48 + 65)) + 60?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/10)\/(-3) + (-13 - (-568)\/40). Solve c = 525*k - 517*k + 24 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -100.01609 and 0.2.\nAnswer: -20.003218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + -3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 + 6 = 10*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -27*p + 30*p. What is the first derivative of -25*m + p + 0 + 11 - 2 wrt m?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3 = -4*s, 3*s + 5*y = 6 + 5. Suppose 307 = s*c - 69. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25060 is divided by 935?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10522170 and 8370.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 237910411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 0*k**4 + 0*k**6 + 2*k**3 - 9\/7*k**7 - 2 + 0*k + 0*k**5 + 0*k**2. Find the third derivative of q(a) wrt a.\nAnswer: -1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54055522 (base 7) in base 8?\nAnswer: 21434664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 8:18 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 4*b + 4. Let n be i(4). Suppose 2*u - n = 2. Suppose -u*v + 8 = -4. What is the least common multiple of 9 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 45. Let w = -4 + 4. Calculate the remainder when ((-16)\/(-10) + w)*5 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/13 and 2\/511667.\nAnswer: 511667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 3, i: 4}. Give prob of sequence imi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(18\/13)\/t)\/(t\/(t\/t**29)) assuming t is positive.\nAnswer: t**(-372\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 12:23 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5544?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*v = 265*v + 22671. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmouammmommamm. Give prob of sequence uo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15863060 - -4?\nAnswer: -15863058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/((-17)\/(-170)*-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 1\/5 (b) 0.4 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 0, -39, -126, -279, -516, -855, -1314?\n\"Answer: -3*r**3 + 3*r**2 + 3*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383033 is divided by 303?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5115 + -2793. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73.6 - 6.6. Let m = t + -65. Let s = 0.3 + -0.1. Which is the nearest to s? (a) m (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10546 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 892 - 881. Suppose l + 6 + 6 = -5*y, -10 = 5*y. Calculate the smallest common multiple of a and l\/(1 + 1) - -7.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000219439418 to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 2. Let g(n) be the third derivative of n**4\/24 - n**3\/2 + 9*n**2. Let y(o) = 3*g(o) - 4*h(o). Determine y(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 140, 130, 106, 62, -8, -110?\n\"Answer: -d**3 - d**2 + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2079 divided by -9.\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2171239 and 1041005?\nAnswer: 75993365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7339*x**2 - 15*x - 10. Let m(h) = 315576*h**2 + 648*h + 432. Calculate -216*c(v) - 5*m(v).\nAnswer: 7344*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 572641320 divided by 3\nAnswer: 190880440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 41\/9*-1\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -8*s + 20. Suppose -3*u - 1175 + 85 = -s*v, 4*v + 5*u = 1106. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1466415*w + 12 - 1466411*w - 5.\nAnswer: 4*w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1047305\/3 or -349101?\nAnswer: -1047305\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 361595 by 590.\nAnswer: 72319\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5082049919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**2 - 18*x + 627 + 677 + 0*x**2 - 563 = 0.\nAnswer: -19, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/3))\/s*s**(1\/9)\/s*s*s**(-3\/8)\/s*s\/(s\/s**(-1)) assuming s is positive.\nAnswer: s**(-139\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + a + 7. Let j(p) = -3*p**3 - 2*p**2 + 3*p + 21. Let u(t) = 3*f(t) - j(t). Let s(q) = -9*q**3 + 13*q**2. What is -2*s(d) - 7*u(d)?\nAnswer: -3*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**2 + 13*s**2 - 41*s**2 + 18*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 2213 = 11657. Let b = m + -730. Solve -5*t - 3 - 22 = b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 0\/(2 + -1 + 1). Suppose g*a - 4*h = 284, -132 = -a + 2*h - 5*h. Calculate the remainder when a is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 1281*t - 2636*t + 1299*t + (5*t + t - 4*t)*(-1 - 2 + 4).\nAnswer: -54*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**3\/3 + 9*f**2\/2 - 21*f + 21. Let j be s(6). Suppose 1 + 4 = -5*l. Which is the nearest to 0.1? (a) j (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 757738?\nAnswer: 2273214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1.4. Let i = 102 - 41. Let o = -56 + i. Which is the second biggest value? (a) x (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -235, -361, -515, -703, -931, -1205?\nAnswer: -1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -2, 1\/4, 0.1, -1.\nAnswer: -2, -1, -1\/7, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 4. Let z = -125 - -125. Determine q(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(3\/8))\/2. Suppose 8*t - s*t = 0. Solve t*r + 2 = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c = -31101. Let a = c - -10301. What is a rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -241*l - 489. Calculate o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3434 divided by 3?\nAnswer: -3434\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**4\/12 + 9*u**2 - u. Calculate the least common multiple of ((-316)\/(-364) - 35\/49) + (-50)\/(-13) and z(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/((-3990)\/2983) + 2\/(-7). Factor -12*y - 9\/5*y**2 + i.\nAnswer: -3*(y + 7)*(3*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 - 167*c - 4 + 4 + 167*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31056 or 31053?\nAnswer: 31053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-6) - 16\/24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.62 - 0.52. Which is greater: -54 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64000561.\nAnswer: 64000561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + -6 + 6 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**8\/560 + 3*j**7\/175 + 3*j**6\/50 + 2*j**5\/25 - 6*j**2. Find w such that r(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -d - 7 - 13, 5 = f - 3*d. Suppose 4*r + f*l - 685 = -r, 0 = -2*r + 5*l + 295. Is r a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -3 + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 56?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20344 is divided by 95.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2715 - -2738. Solve -18*k - h = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5 = -g, -230*x = -228*x - 5*g + 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 1 - 5 + 3*p to the form y + f*p and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -13. Calculate the remainder when (-1 + 0)*(s - -2) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90 - -85. Let w = 30.5 + -30. Let b = -40 - -15. What is the nearest to b in u, 0.1, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 6*g - 8 = 0. Put g, 3, 2 in ascending order.\nAnswer: 2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (10 + (-24 - -14) + 11 + -8)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27217 + -27223.2454. Round r to 1 decimal place.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1196 + 1606. What are the prime factors of h?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1964*v**3 + 4235*v**3 - 6510*v**3 + 4232*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53738967 to the power of 1\/2, to the nearest integer?\nAnswer: 7331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4667573*y**2 + 5301999 wrt y.\nAnswer: -9335146*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102.6, -7, -4 in descending order.\nAnswer: -4, -7, -102.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 79*a**6\/60 + 10*a**3 - 47*a**2. Differentiate b(d) wrt d.\nAnswer: 474*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 3*q - 2*q - 3265*q**2 - 4786*q**2 + 4*q.\nAnswer: -8051*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 154*y + 302. Let l be a(-2). Sort -4, -136, 1, l.\nAnswer: -136, l, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**2 + 86787*p - 4245360 = 0.\nAnswer: 49, 28880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -63205?\nAnswer: 63164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -5, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y, 4 = 3*f - 4*y - 2. Suppose 6*l - l = 15. Solve -10 = -f*j - l*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71370.9 + -71371. Let k = 6.94 + 0.06. Let i = -6.9 + k. Is l bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153010683 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 847 - 35642?\nAnswer: -34684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**4*t**2 - 24115*h**4 + 89*h**2 - 26*t**2 wrt h?\nAnswer: 72*h*t**2 - 578760*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -232223 (base 5) to base 11\nAnswer: -6381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**4 + 9*i**4 - 2 - 18*i**2 + 2*i + 11*i**4 + 4*i**4 - 33*i**4 in the form q*i**4 + s + f*i**3 + v*i**2 + r*i and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-7\/5)*j)**(-1) assuming j is positive.\nAnswer: j**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: fd539 (base 16) to base 6\nAnswer: 34123453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s**2 + 5642*s - 39204. Determine t(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -60 (b) 0.14 (c) -0.2 (d) 0.035 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1376303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422.2177 nanometers to micrometers.\nAnswer: 0.4222177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 354*a**2 - 14688*a - 3514240.\nAnswer: 2*(a - 95)*(a + 136)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-9 - 1) + 11 + -17 + 8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 178, 344, 620, 1006, 1502, 2108, 2824?\n\"Answer: 55*g**2 + g + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1309 + -816. What are the prime factors of p?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 5:23 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -9 + 1 - 12*x**2 + 11*x**2. Let w(r) = -7*r. Give i(w(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*b - 20, -4*b - 21 + 9 = -5*q. Let x(j) = -j + q*j - j + 7*j - 2. Let p(a) = 5*a - 1. What is 7*p(d) - 4*x(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*193863.\nAnswer: 19386.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**3*(l*l**(14\/9))\/l)**(-1\/9) assuming l is positive.\nAnswer: l**(4\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 4752.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 5*z = 0. Let f be (z - -6 - (6 - 3))*56. Let h be 6\/15 + (f\/(-15))\/(-2). Solve 0 = -4*u - 2 + h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 132 = 9*v. What is the greatest common factor of v and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.6 - -6.97. Let i = 0.17 - a. What is the fourth biggest value in i, -2, 0.5, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + -4)\/(5\/5). Suppose 0 = -5*b - 2*k - 8, -2*k = -4*b - k - 9. Let t = b - -7. Sort v, t, -4 in descending order.\nAnswer: t, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 23*z**2 - 150*z + 216.\nAnswer: -(z - 12)*(z - 9)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1206 and 47483838?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**5\/20 - s**4\/8 - 7*s**3\/6 - 4*s**2. Let h be ((-2)\/(-1))\/(-1) + -4. Is a(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6575.6 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 65199 to the nearest one thousand.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((-2*sqrt(90))\/sqrt(10)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*q - 13 = -8, 2*q = 4*l - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*d + 17 = 0, -4*d + 9 = -2*b - 5. Let w = b - 3. Is 10 a factor of (-1 - -10)\/(w\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5840, 11700, 17574, 23468, 29388, 35340?\n\"Answer: u**3 + u**2 + 5850*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkktkkktt.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -39*k. Let a(r) = -4*r. Let v be (32\/64)\/((-10)\/(-35))*3*-4. Determine v*a(t) + 2*m(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -549647408?\nAnswer: -549647408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -523\/6. Let o = 0.1 - -0.9. Suppose 11*b + 5 = 10*b. What is the nearest to o in i, 2\/9, b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*z + 26*z - 2939775 = 0. What is the ten thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/2317332 and -55\/36.\nAnswer: 6951996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-1 - -1923)*(-138)\/(-92) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51911*l**3 - 5*l**2 + 2*l + 2491 wrt l?\nAnswer: 311466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -158990643*d*x**3 - 3*d*x**2 - 9*d*x - 3*x**2 - 124888 wrt x.\nAnswer: -953943858*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 4*c + 7. Let k(r) = 7*r**2 - 9*r + 15. Let m(f) = -13*j(f) + 6*k(f). Let t = -5 - -4. Determine m(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8130678 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10864234 by 103.\nAnswer: 105478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36108 divided by -2124?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 2. Let j(m) = -m + 36. Let w be j(0). Let p be ((-8)\/6)\/((-8)\/w). What is the lowest common multiple of q(p) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 97.9? (a) 2\/3 (b) 0.382 (c) -3\/4 (d) -1 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 1)\/(1\/(-3)). Let a(m) = m**3 + 9*m**2 + m + 8. Let w be a(d). Sort 0, -4, w.\nAnswer: -4, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 4\/9, 57.\nAnswer: 4\/9, 3, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**5\/5 + 3*h**4 - h**3\/3 - 9*h + 76. What is the third derivative of l(c) wrt c?\nAnswer: -24*c + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 1)*(-3 + 0). Suppose -i*p - 17 = -4*g, 0*p + 4*p + 1 = g. What is the remainder when (-38 - p)*(-24)\/36 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 + 4\/1*738\/(-328).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 573952 and 6726.\nAnswer: 1721856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 4. Let a(m) = m**2 - 9 + 0*m**2 + 8*m - m. Let i be a(-8). Put i, v, -3 in decreasing order.\nAnswer: i, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) - (-42)\/8. Suppose -9*y = -y + 8. Let v be 2*((-11)\/(-6) + -2). Sort t, y, 0.5, v.\nAnswer: y, v, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 204195*q**2 - 48384*q**2 + 1 + 34851*q**2.\nAnswer: -217728*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3759339.\nAnswer: 3, 31, 40423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10432.6 + 10434. What is the closest to 1\/4 in 0, 41, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 5*c**2 - 35*c - 2. Calculate o(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**6\/10 + 3*a**5\/20 + a**4\/4 - a**3\/2 - 5*a. Factor j(f).\nAnswer: -3*f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*s - 21 - 22*s - 15*s + 61*s to the form p*s + d and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -23889831480 to the nearest 1000000.\nAnswer: -23890000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*36\/15\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1089, -2\/23, -5, 5, -0.3?\nAnswer: -1089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190679 and 52499.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*3*3)\/((sqrt(576) + sqrt(16))\/sqrt(4)*-2).\nAnswer: -27*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**2 + k**2 - 2*k**2)*(-5*k + 2*k + 0*k) + (-k**2 + 2*k**2 + k**2)*(1 + k - 1).\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 650 - -97. Let t = y + -740. Solve t*c - 9 = 5*c - s, 5*c + s - 24 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14221\/((-3)\/33*-11).\nAnswer: 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7291470 divided by 8381\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -43526106 not equal to -130578320\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in 0, 2, -5, 83.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t - t + 3*t)*(6*t**2 + 4*t**2 - 3*t**2)*(-1 + 7 + 2)*(2*t + 2*t - 2*t) as i*t**2 + c*t**4 + x*t**3 + p + g*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40375 (base 12) to base 11.\nAnswer: 57788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - t**2 - 2. Let s be p(-3). Suppose -s*q**2 + 19*q**2 + 12 + 0*q - 12*q = 0. Calculate q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 110050*p**2 - 1069*p. Let d(w) = -2*w. Determine m(d(f)).\nAnswer: 440200*f**2 + 2138*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -20\/3*d + 4\/3*d**2 + 8 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 6:13 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i**3 + 8*i**3 - 4*i**4)*(-99 - 1306*i + 2616*i - 1311*i).\nAnswer: 4*i**5 + 396*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24\/5 - -178\/35. Let -2\/7*h + 0 + a*h**3 - 2\/7*h**2 + 2\/7*h**4 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let l(d) = -2*d**2 + 4409992*d + 59. Calculate l(g(r)).\nAnswer: -2*r**2 - 4409992*r + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**4\/4 - 16*p**3\/3 + 1415*p**2. Let l(m) = m - 1. Let d be l(-4). Let g be k(d). Sort 1, g, 2 in ascending order.\nAnswer: g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-2*t - 3*t - 2*t)*(-39 - 691*t + 4320*t + 39 + 2063*t).\nAnswer: 39844*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -12. Let r be (-4)\/14 + (-46)\/(-14). Let o(j) = -z - j - 3*j + r*j. Give o(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**3 + 3*h**2\/2 + 3*h. Suppose 31*w = -14*w + 225. Determine f(w).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*x, -2*x + 0*x = -2*o. Suppose 0 = -2*t + 4*l - 39 + 99, -5*t - l + 161 = o. What is the lowest common multiple of 8 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**2. Let p(q) = -q. Let g(s) = 5*s + 1. Let a(z) = -g(z) - p(z). Give a(w(j)).\nAnswer: -24*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4148, -4173, -4200, -4229, -4260?\n\"Answer: -k**2 - 22*k - 4125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336 divided by 6.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*((-3)\/9 + 0)*3. What is the tens digit of (-300)\/(-5) - -3*y\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbs when four letters picked without replacement from kbxksbkxbx?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 2:40 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 6*m - b - 44, 0 = -4*b + 16. What is the remainder when 46 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 37 - 7 = -2*g, -3*g + 26 = 2*l. Suppose -2*q - 3*c = -26, 0 = -5*q + c + 116 - 34. Suppose 2*j = -l + q. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -1 + (-1 + 9 - (-20 + 20 + 0))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(4\/(-4 + 0) + 6). What is the nearest to 0 in 1\/7, 10, k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-258)\/(-13) + 10\/65. Suppose -4*j = 76 + g. Which is greater: j or -25?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0.0032?\nAnswer: -3.0032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153129 + -391803. Let y = k - -161777. Let b = y - -147897. Round b to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142378*m**3 - 192927*m wrt m?\nAnswer: 854268*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -7*v - 4*v + 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 7, -0.69, -4, -1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k - 431 = 13. Let d be (-114)\/(-95)*80\/k. Let t(c) = 2*c + 3. Let j be t(5). Solve 0 = v + 5*x + d, 3*v + j = -3*x - x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*a = 4*m + 17, 5*a + 52 = -3*m. Let n be m\/(-6)*(-42)\/(-9). Is 2 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89060 - -279339. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*z + 27 = -2, -2*z + 8 = 0. Let d(s) be the first derivative of w + 0*s - 4\/15*s**3 + 0*s**2 - 8\/25*s**5 + 9\/10*s**4. Let d(r) = 0. Calculate r.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -15481062.91 to the nearest one thousand.\nAnswer: -15481000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3181 + 3017.3. Let q = 201 + s. Round q to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 7*v**2 - 5*v - 3. Let h be o(6). Let z(q) be the first derivative of q**4\/4 - q**3 + 4*q - 1. List the prime factors of z(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*g - 5721, 0 = -2*g - 2*g + 4*v + 7600. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13\/13)\/((5\/(-3))\/(-1)). Which is the nearest to 10? (a) -1\/4 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015885525 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 164c - -2?\nAnswer: 164e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -68.15 and 990.\nAnswer: -67468.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2449, -4952, -7455?\nAnswer: -9958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3172, 19, -17 in ascending order.\nAnswer: -3172, -17, 19","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 512341, 1024729, 1537171, 2049667, 2562217, 3074821, 3587479?\n\"Answer: 27*d**2 + 512307*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**3\/6 + c**2\/2 - 17*c. Let g be x(1). Suppose g = 5*k - t - 520, -2*k + 4*t = -0*k - 190. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/6*-3*11\/(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezewwwweew. What is prob of picking 2 w and 1 z?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/14 and 37\/77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.03, -0.2, -1, 6186?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 269833914 from -0.3.\nAnswer: -269833914.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1300*n + 2614*n - 1318*n - 167*n**2.\nAnswer: -167*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-99) - (104\/(-9) + (-4 - -4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174290 and 58297?\nAnswer: 16906130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + f - 2. Let v(x) = x + 2. Let b(n) = 3*n + 5. Let y(k) = -2*b(k) + 7*v(k). Let r be y(-6). Give i(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(24\/(-4))*-6. Let z be 2*(o - -3 - 2). Let n be (z\/6)\/((-6)\/(-9)). Which is smaller: n or -3\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*x = 265, 5*a - 148 = 2*a - x. Calculate the remainder when a is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 m when three letters picked without replacement from mmiimimm?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - a**2 + 2*a + 3. Let l be w(-2). Let u be 13\/(-3) - (-1)\/l. Let m be 2\/u - 2318\/4. What is m rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - 223020?\nAnswer: -223103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22822*l - 15 = 22827*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4235 is divided by 108.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 151268 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 35*f**2 - 128*f - 84. List the prime factors of s(-38).\nAnswer: 2, 3, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 52*d - 46. Let z be i(-4). Let s = z + 672. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 29*x - 54. Let j(p) = -15*p + 27. Let q(v) = -5*j(v) - 3*m(v). What is the hundreds digit of q(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(540) - sqrt(60)) + -5*sqrt(180)\/sqrt(3))\/(5*(sqrt(12) + sqrt(768)*-2 + sqrt(12))))**2.\nAnswer: 5\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (184\/(-14))\/(-4) - 6\/21. Suppose -c = -4*w + 2570, 5*c = -b*w + 4*c + 1931. Let o = w + -427. Is 27 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -7, -21, -41, -67, -99?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 204*w + 190. Calculate i(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 2*l - 4. Let k(g) = 3*g**2 + 1. Let y(j) = -16*j**2 - j - 1. Let o(h) = -6*k(h) - y(h). Determine 4*d(v) - 3*o(v).\nAnswer: 2*v**2 + 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7993542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205359 and 546840.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from nunnnllluj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164)\/2091 + 46782\/(-459).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -28072 divided by -4\nAnswer: 7018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 97 + 112 - 179. Solve -207 + 102 = -j*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + 22*k + 34. Calculate v(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 4)*(-4*n + 2*n - n).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 0)*(-11)\/33. Let s = 7.2 - 1.2. Let n = 6.4 - s. Which is the smallest value? (a) n (b) 3\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 s when three letters picked without replacement from sxsssssssxxssxxs?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*n - 7 = 580*n + 2*f, 4*n - f = -29 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71\/560723 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1528740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m. Let j(d) = -19*d + 11*d + 5*d. Let y(q) = 4*q. Let p(o) = 7*j(o) + 5*y(o). Give -9*p(n) - 2*x(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2097879017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*-5*4\/(-80))\/(30\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*l + 3469, -2*d - 342*l + 1410 = -338*l. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250167.28817 rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 494\/140 + 165\/(-385) and -101\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112156 divided by -7812.\nAnswer: -28039\/1953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a factor of 4945897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 0*r + 3 - 4 - 4 + r. Calculate a(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -7 - (-404)\/12*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 5*d**4\/8 - d**3\/6 + 4*d**2. What is the lowest common multiple of z(1) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 20*z - 290. Let g be o(-7). Let x(w) = -w**2 - 2. Let h(r) = 2*r**2 - r + 3. Determine g*h(j) - 4*x(j).\nAnswer: -2*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61.04715 centuries?\nAnswer: 6104.715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(-3))*x)**(7\/10))**13*(((x**3*x)\/x)**(-33\/4))**(-13\/4) assuming x is positive.\nAnswer: x**(8619\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 + 19 = 13*h. Let t(x) = -x**3 - x**2 + 6*x. Suppose 0*v = -4*v - 24. Let k be t(v). What is the highest common factor of h and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 408816963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -200?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-3*m + 4*m + 4*m)*(-2051*m + 109*m - 1704*m).\nAnswer: 36460*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 20 = -4*q - 2*r, 5*q = -4*r - 1. Solve -5*s - q*y + 7 = 0, 3*s + 2 = -5*y + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/3, 227, 12, -4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 158, 294, 404, 488, 546, 578?\n\"Answer: -13*l**2 + 175*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11960 (b) 0.36 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*n - 2*t - 4, 2 = t. Let f = -7 + 7.3. Let b = -10034 - -10035. What is the closest to n in f, -3\/2, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1.5775 (c) 2\/9 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 3. Let a = 1 + 1. Let r = 5.2 - 8.2. Sort r, a, s.\nAnswer: s, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-6 - -10) + (1 - 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, -82, -264 in descending order.\nAnswer: -1.2, -82, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + (sqrt(432) - sqrt(432)*-1*-6))**2 + sqrt(432) + (sqrt(432) + sqrt(432)*1 + 2)**2.\nAnswer: 108*sqrt(3) + 8644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464 times -1?\nAnswer: -1464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = 0, -3*x - 41 = 3*y - 527. What is the third derivative of -5305*f - x*f**3 - 311*f**2 + 90*f**2 + 5305*f wrt f?\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.21, 5, 362, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150855?\nAnswer: 5, 337, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 7 - 19*p + 16 + 18*p.\nAnswer: -p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**7\/140 - n**6\/80 - n**5\/40 + n**4\/16 - 4*n**2. Factor x(b).\nAnswer: 3*b*(b - 1)**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 - 20*p + 80. Let a be b(-9). Put 1, -0.1, a, -7 in decreasing order.\nAnswer: a, 1, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, w: 3, l: 1, d: 6, t: 2}. Give prob of sequence dlr.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17780469?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/7 + 401524*d**2\/7 + 114720*d.\nAnswer: 2*d*(d + 2)*(d + 200760)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1772895077\/24 - 73853643. Let r = s - 16982. What is the common denominator of r and ((-77)\/(-16))\/(24\/32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3 - 0. Suppose 0*s = -3*l - 2*s - 8, -4*l = -x*s - 12. Let g be (-26)\/(-4) - (-1)\/2. Solve l = m - 0 - 2, t + 3*m = g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (105\/5)\/3 - 1250\/185. What is the second biggest value in 0.3, 1, -0.5, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 3*r - 12*v, 46 = -5*r + v + 27 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -38 + (-2960)\/(-480) + (-4)\/36*(-3)\/(-2)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*c + 62, 2*w = -2*c - 2*w + 22. Let x = c - 8. Suppose x*q - 56 - 19 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223447 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3488222332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-36))\/(85\/(-20))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 161\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -r + 4*x, 4612*r + 4614*r - x + 18 = 9223*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105972697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48*1*25\/20.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2368 - -35546. What is the ten thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*-2 - (11 + -62). Solve 0 = -b*y + 55*y + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.025887 and 825450449.\nAnswer: 825450448.974113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -8. Let z = 12 + m. Let j = z + -6.4. Which is the third smallest value? (a) -2 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuwuuuwuuuuu.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knffdnfnkkkk. Give prob of sequence kd.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - 7*s + 5 + 3)*(-s + 2*s - 6*s)*(4*s**2 - 5*s**2 - s**2).\nAnswer: -10*s**4 + 80*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -52, -90, -126, -160?\n\"Answer: c**2 - 41*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211435460?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/(25\/((-275)\/22)). Let v = 7 - 7.2. Which is the nearest to v? (a) -3 (b) s (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 10:02 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Suppose 0 = -2*c + 3*c - 2. Suppose c*u - m = u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -12*f - 56 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + (-10)\/(-3). Suppose -m*a + 112 = a. Suppose 5*w = a + 92. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 10 - (-15 - -12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-12 + 23 - 0) - (40 - 1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216281176 to the power of 1\/3, to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354581 is divided by 123.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 15985*s - 77. Let g(k) = -31972*k + 141. Calculate -6*g(h) - 11*y(h).\nAnswer: 15997*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -341 + 503 + l**4 - 5*l**4 + (l - 1 + 1)*(l**3 - 3*l**3 + 4*l**3).\nAnswer: -2*l**4 + 162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 1850.\nAnswer: 14800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, -49, -123, -227, -361, -525?\n\"Answer: -15*f**2 + f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/1993 - -165399\/19930. Let w = 36\/3677 - -266477\/198558. Calculate the common denominator of p and w.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12628164 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120848 or -120827?\nAnswer: -120848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217977 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + 13. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(0 - -78))\/((-6)\/(-324)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**22)\/u*u)\/(((u*u*u*u\/u**(2\/9))\/u)\/u*u))\/(u\/(u\/(u*u**18))*u*u**15) assuming u is positive.\nAnswer: u**(-529\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -1 - -1)*1. Let i be 1 - 1 - (786\/(-10) - -80). Put g, i, -4, 2\/5 in descending order.\nAnswer: g, 2\/5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**3 - 6*y**2 + 6*y - 6. Let o(b) = -6*b**3 - 11*b**2 + 11*b - 11. Suppose 5*w = -2*w - 77. What is w*r(q) + 6*o(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -0.0395.\nAnswer: -4.9605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -47751.7213 to the nearest ten.\nAnswer: -47750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-5 - 0 - 0) + 36 + -1 + -35\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 20*n**4\/9 - 188*n**3\/9 - 2648*n**2\/9 + 1088*n\/9 = 0?\nAnswer: -8, 0, 2\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (896\/(-784))\/((-4)\/(-42))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*u + 4*q = 323*u - 3, -q = -5*u - 36 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*l + 57530410 = 218*l. What is l rounded to the nearest 1000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/40293 and -103\/968.\nAnswer: 322344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31902*l**3*p**2*q**2 + 750*l**3*p**2*q + 2*l**3*q**2 - 46*l**2*p*q + 7927*l**2*p + l*p*q**2 wrt p?\nAnswer: -63804*l**3*q**2 + 1500*l**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5\/5 - 86*g**4\/5 + 18*g**3\/5 + 774*g**2\/5 = 0. What is g?\nAnswer: -43, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141100 by 2.\nAnswer: 70550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 + 15*n**2 + 24*n. Give o(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 26) + ((-5928)\/285 - -48). Determine l, given that -2 + k*l**3 + 2*l**2 - 1\/5*l = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*c - 15 = 26*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1158*q**3 + 4*q**2. Let n(b) = -1159*b**3 + 5*b**2. What is 5*g(j) - 4*n(j)?\nAnswer: -1154*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + 541628 - 1841158. Let b = p - -47853. Round b to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59843980 to the power of 1\/2, to the nearest integer?\nAnswer: 7736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 936713158 to the power of 1\/4, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8613461*z. Let u(n) = -16*n. Calculate w(u(b)).\nAnswer: 137815376*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 13 = 4. Suppose 0 = s + 4 - x. Let k be (-2 - -2)*((-20)\/8 - -2). Solve -5 = -s*f - k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3*-2*sqrt(833))**2 + 3).\nAnswer: 119964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d - 3. Suppose -5*f = -2*f + 6. Let x be t(f). Solve -x*c - 28 - 9 = -4*n, n = c + 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 24202 (b) -0.1 (c) -0.08 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 4*x**2 + x + 8. Let u be q(-4). Suppose 7*o = 4*t + 3*o - 332, 0 = -u*t - 4*o + 308. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2565 and -9\/25.\nAnswer: 12825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470116, -940234, -1410352, -1880470?\nAnswer: -2350588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(126\/(-56)*2\/(-3))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.38, -0.2, -1\/6, 3\/5 in increasing order.\nAnswer: -0.38, -0.2, -1\/6, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 219 times -0.05\nAnswer: -10.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - s**2 - s - 6. Determine p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.21 - -0.79. Let s = -5 - -20. Let k = 8 - s. What is the third biggest value in -3, k, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -286692.\nAnswer: 286691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 20) + 5 + 1 + -50?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5636 + 5631. Which is the nearest to -1? (a) -1\/2 (b) w (c) -1 (d) 134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-1)*(-65)\/39*(-23)\/((-345)\/39)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (653*t - 874*t + 561*t)*(-3 + 2 - 1)*(2 + 1 - 5) + 3*t - 4*t + 3*t.\nAnswer: 1362*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -0.2, 15751.7 in descending order.\nAnswer: 15751.7, -0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1929280*v*y**3 + 219107*y**3 + 2*y + 2 wrt v?\nAnswer: -1929280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h**3 - 4*h**2 + 4*h - 4. Let o(g) = -g**3 - g**2 - 1. Let q(f) = -4*o(f) + v(f). Find the second derivative of q(k) wrt k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1)\/((-887)\/17740)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*t - 225 = 0, -3*t - 1059 = -4*h - 114. Suppose -3*u + h = -84. Suppose 104 + u = 4*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (4 - (-9)\/(-3)). Solve 5*f + d*c + 15 = 0, -c = -f + c - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*i + v - 0, -4*v = 12. Let p be i\/(-25 + -1)*232\/(-29). Factor 6\/13 - 2\/13*s**2 + p*s.\nAnswer: -2*(s - 3)*(s + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1817974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452128 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 595 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8201*n**2 - 33953 with respect to n.\nAnswer: -16402*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 275312763 or 275312766?\nAnswer: 275312766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**3 - 3*v**2 + 20*v - 39. Give p(2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (0 - -11)*(-1 - 0). Is (-10 + -204)*p\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n + 13*n + 6*n - 6*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.3, -5.6, -0.3, 22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -27) + (3 - -4) + (7 - 9)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*p + 5*p = 79, a = -5*p - 4. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16822 - -0.14822. Let w = 32 - 97\/3. Which is the closest to -2\/11? (a) -5 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:38 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a millennium in months?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 25622*h + 7 - 25625*h - 4. Let f(j) = -j. What is f(b) - u(b)?\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7679285 or 7679254?\nAnswer: 7679285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/307, 0.10662, 3\/7 in ascending order.\nAnswer: 2\/307, 0.10662, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46960308 is divided by 23480154?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -3*s + 3, -k = -21*s + 19*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 33*i. Let s(j) = 21932*j. Give s(m(l)).\nAnswer: 723756*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 30 = 5*v, -69*t - 4*v + 19 = -68*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 0.38 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18988, 78792, 178468, 318016?\nAnswer: 497436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3017889*k - 1. Let w(i) = -42*i**2. Determine g(w(c)).\nAnswer: 126751338*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/13 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k - 5*o + 50, 0 = -5*k - 2*o + 250. Suppose -5*f + 16 = r - 3*f, -5*r = 4*f - k. Solve 4*q = 6 + r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -7*l**6\/3 - 2*l**2 + 12. What is the second derivative of n(u) wrt u?\nAnswer: -280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1649 + -1630. Calculate the remainder when 1157 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w - 18. Let l be z(-12). Let f = l + 106. Solve 2*s + 3 = m, -4*s + 32 = -7*s - f*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llt when three letters picked without replacement from {t: 2, l: 17}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385757937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40386 and 152288875?\nAnswer: 6731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1287 and 37908.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -640587277 - -0.5.\nAnswer: -640587276.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 969 (base 10) to base 12.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -572 - -576. Suppose -p*y = -2*q + 11 + 179, 0 = -3*q + 2*y + 281. What is the third biggest value in q, 3, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -7*b + 140. Let d = 4749 + -4796.952. Let c = -0.048 + d. Which is greater: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -154, 5, 0, 4 in decreasing order.\nAnswer: 5, 4, 0, -12, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*r**3 + 195*r**2 + 42*r.\nAnswer: 3*r*(r + 7)*(9*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275701591.\nAnswer: 19, 853, 78713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 692693693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -541, -2082, -4635, -8206, -12801?\nAnswer: -18426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/8 and -35\/90828?\nAnswer: 181656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -11. Let b be (-12)\/f + -2 + -2. Suppose 0*s - 24 = -b*s. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 17*p + 24. What are the prime factors of l(-10)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1768528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -d. Let z = d + 6. Factor 4*v**4 - 3*v**z + v**4.\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/1173585 and -25\/10796982.\nAnswer: 53984910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -54*f + 185. Let o be q(3). Solve -o*n + 16*n = -21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -69)*2*27\/(-135). Solve -21*w + 14 = -q*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 + 9\/(27\/12). Let t(p) = p**3 + 6*p**2 + 6. Is 8 a factor of t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/181 - -739\/905. What is the nearest to -4 in 0.1, -1, d, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72030 and 90841835.\nAnswer: 545051010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j. Let r be a(4). What is the greatest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 8*f**2 + 11*f - 15. Let m be y(9). Suppose -8*v = -2*l + 992, -3*l - 8*v + m*v + 1522 = 0. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-15)*10)\/(-4*(-2)\/30).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9040371 weeks to microseconds.\nAnswer: 546761638080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttqgehtddeegetg. What is prob of picking 1 e and 1 q?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 6*w**2 + 7*w - 11. Let r(i) = 1. Let m(v) = 5*r(v) + s(v). Let f = -1683 - -1675. Is 22 a factor of m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -31 (c) -0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -345, -337, -317, -279, -217, -125?\n\"Answer: u**3 + u - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -33*1 - 8\/(-8). Is (76\/(-16))\/(4\/p) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awra when four letters picked without replacement from aawar.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2 - 49*a**2 - 24*a**4 + 29*a + 4 - 21*a + 4*a**4 + 56*a**3 = 0.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-296*y - 296*y + 593*y)*(-5*y**2 + 5*y**2 - y**3) + 0*y**4 - 2*y**4 + 4*y**4 to f*y**2 + t*y**3 + k + l*y + c*y**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(8*(-2)\/(-4)). Solve 0 = 4*w - 4*q, 3*w + s*q - 5*q - 10 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 1:47 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1509 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2857660806 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**(-4))\/c)*c*c\/c**(-2\/7)*(c\/(c*c**(5\/6)))\/(c\/(c*c**(-16))))**(-2\/9) assuming c is positive.\nAnswer: c**(401\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**3 + 11*c**3 - 23*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -303 + 306. Solve 10 = q*f - 5*l - 15, -2*f + 2 = 4*l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-23))**(1\/3) assuming w is positive.\nAnswer: w**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + 13 - (-2 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 62170*o - 78199400.\nAnswer: -5*(o + 1420)*(o + 11014)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 13, -1 in descending order.\nAnswer: 13, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4475*i**2 - 2*i - 2. Let q(x) = -187952*x**2 + 85*x + 85. What is 2*q(d) + 85*v(d)?\nAnswer: 4471*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00071277496 rounded to 5 dps?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 1877225748633.\nAnswer: 1877225748633.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/4 (b) -0.1 (c) -5 (d) -0.5 (e) -29.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19284122 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.574.\nAnswer: -0.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**2 + 6*j - 14. Let h be c(2). Calculate the highest common factor of 120 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 28*q + 7. Let l(y) = 9*y + 2. Let x(c) = -7*l(c) + 2*o(c). Suppose -18 - 19 = -3*i + 5*a, -3*a - 19 = -i. Let n(m) = 0*m + i*m - 2*m. Give n(x(r)).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:20 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-2*t - 1 + 1 + (-2*t + t - t)*(-5 + 1 + 1)) + t + 3*t - 2*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*9\/(-18) + (-5)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, e: 1, i: 1, c: 1, m: 1, a: 2}. What is prob of sequence cami?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 12 - 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -14. Suppose 2*z = -0*z + l. Suppose -57 - 78 = -5*n. Calculate the highest common divisor of z and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 964\nAnswer: -1\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 56098.58mm in centimeters?\nAnswer: 5609.858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 + z**2 + 2*z - 4. Let c be y(-2). Let b = 4 - c. What is the remainder when 161 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.942828 and 179?\nAnswer: 168.766212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.585 - 0.085. What is the nearest to 10 in -5, y, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 312?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97531910.\nAnswer: 2, 5, 7, 1393313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -986 - -989. Let f(x) = -x**3 + 5*x**2 - 3*x + 2. Determine f(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7823\/4 + 54769\/28. Which is the second smallest value? (a) 1\/8 (b) n (c) 1\/4 (d) -1\/4 (e) 45\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22430 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 120\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15141301 - 24?\nAnswer: 15141233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - -95a99?\nAnswer: 95a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8640)\/28)\/36)\/(6\/21).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -109*f**2 - 2 - 4 + f**3 - 2 + 102*f**2 + 2 - 41*f. Let n be x(13). Calculate the greatest common factor of n and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.87 - -1.708. What is b rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 3 = -3*w. Calculate the remainder when w is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from {c: 3, z: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q - 7. Let a(j) = -8*j + 21. Determine -2*a(b) - 7*y(b).\nAnswer: -5*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p + 1. Let k(i) be the second derivative of i**4\/6 + 12*i + 4. Calculate m(k(s)).\nAnswer: -20*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - 4*w**3 - 24*w**3 + (-38*w**2 + 180 - 180)*(-2*w + 2*w - 2*w).\nAnswer: 47*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4 + 3*f**2 - 2 + 3*f + 3 - f**3. Let r be l(3). Is 108\/2 - (-6)\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17299 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 336*l + 6132. Let o(k) = 2*k. Determine a(o(d)).\nAnswer: 672*d + 6132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + -3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -g + 1302, -3*g - 4*t = 1092 - 4979. 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 29873088 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: What is 188166155 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1156 - -628. Let g = 2781 - v. List the prime factors of g.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -191951307\nAnswer: 191951311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 4862666*n**2 + 2*n + 4770922*n**2.\nAnswer: -91744*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-435)\/33 - -13 - 103\/(-22). Let l(t) be the first derivative of 0*t + h*t**3 - 1\/12*t**6 - 2 + 9\/10*t**5 - 27\/8*t**4 + 0*t**2. Solve l(w) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456821 is divided by 80875?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 15 (b) 0.2455 (c) -0.2 (d) 4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3696*n*o**2 + 2*n*o + 597*o**2 - 4*o + 295034 wrt o.\nAnswer: -7392*n + 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -168981, -337960, -506939, -675918, -844897?\n\"Answer: -168979*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 8. Let a be k(-6). Let u = 2837 - 2832. Calculate the highest common divisor of u and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*a = -115*a + 849*a - 4*a - 33592 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 12*i**2 - 11*i**2 + 3.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 33 = 3*q, 3*y + 23 = 4*q - 8*q. Let k(j) = -j**2 - 9*j + 10. Let l be k(y). Suppose -l*f + 6*f + 8 = 0. Solve -f*p + 5*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((2\/10)\/(35\/(-35))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2703506 is divided by 270.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**5\/20 - 11*p**4\/12 - 2*p**3 + 5*p**2\/2 + 4*p. Let k be c(12). Solve k*t = 15 + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1182, 0.3, -5, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29600369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 1029\/332?\nAnswer: 1029\/332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3499, 28414, 96049, 227764, 444919, 768874?\n\"Answer: 3560*d**3 - 5*d - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/((-15)\/(-9)) - -5. Let z(h) = h**2 - 7*h + 10. Let k be z(g). Suppose 4*n - 2*n - 126 = k. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 74?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*k - 1567 + 1567 + 73*k + 75*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k + 3. Let u be f(0). Suppose -x = -u*x + 2. Let z(v) = -v**2 - 8*v + 25. Let q be z(-10). Solve 0 = -3*y - c + 12, -4*c + q = y + x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1745?\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b + 2*u - 207, -5*b + 395 = -5*u. What is the remainder when 714 is divided by b?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1 - (-18 + (11 - 6))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16281834 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276040641.\nAnswer: 3, 23, 4000589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**3 - 3*t**3 + 1 + t**3. Let n be j(0). Let i = -39341 + 39340. What is the closest to i in n, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0125657 kilograms?\nAnswer: 12.5657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3928*t**2\/7 - 62852*t\/7 + 64\/7.\nAnswer: 4*(t - 16)*(982*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36171217, -36171240, -36171263, -36171286, -36171309, -36171332?\nAnswer: -36171355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.35421 + -16.04579. What is the second smallest value in -4, 2, o, -2.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + -3 + (0 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 27 = p, 4*p + 6 = 18. Let d(s) = s**3 + 7*s**2 + 12*s. Let u(g) = g**3 + 7*g**2 + 11*g + 1. Let k(f) = -5*d(f) + 6*u(f). Determine k(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -397, -639, -865, -1069?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 3*g + 1. Let a(p) = -p + 28. Let l(m) = 2*m**3 - 12*m**2 - 9*m - 4. Let c be l(7). Let u be a(c). Give b(u).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 2. Let v be h(3). Let b be v\/(-10)*(-60)\/24. What is the fourth smallest value in -2\/15, b, -1, -0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-4\/9)\/z))**(-16\/11) assuming z is positive.\nAnswer: z**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-2\/3))\/n)\/n)**(-7\/9)*n**(-4\/3)*n**4*n*n assuming n is positive.\nAnswer: n**(140\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 30961*o - 247700. Let a be j(8). Let d(r) = r - 1. Let f(b) be the second derivative of b**3\/6 - 3*b**2\/2 - b. Calculate a*d(y) + 4*f(y).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 440500 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.5 + -13. Let b = 0 + 0.2. What is the nearest to b in y, 20, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 228\/7 - 2950\/91. What is the third smallest value in 7, g, -0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:07 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 177, 148, 61, -114, -407?\n\"Answer: -5*x**3 + x**2 + 3*x + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w - w + (-1 + 0 + 0)*(2*w + 1 - 1) + 3*w - 3*w - w - 2*w + 3*w - 2*w + 73*w + 16 - 16)*(2 - 2 + 2).\nAnswer: 134*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 756.548 grams in milligrams?\nAnswer: 756548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 292, -396, -1542, -3146, -5208, -7728, -10706?\n\"Answer: -229*z**2 - z + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 203, 734, 1975, 4280, 8003?\n\"Answer: 59*v**3 + v**2 + 115*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 297 - 1205\/4. Calculate the common denominator of o and -95\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3916.17339 + -3916.2. Round o to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/13526 and -87\/4?\nAnswer: 27052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*x - 57, -o = 6*x - 2*x + 3. Suppose 12*a = o*a + 1089. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 - -70. Let w = 166 + g. What is the remainder when w is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**2 + 6*x - 5. Let s(h) be the first derivative of -2*h**3 - 3*h**2 + 4*h + 4. Let v(z) = -4*i(z) - 5*s(z). Factor v(k).\nAnswer: 2*k*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 + 394594*x - 394594*x - 15*x**2 + 0*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/5? (a) 13 (b) -0.1 (c) 3 (d) -4 (e) 4.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-10 - (-9 + 4)) + 3 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1922*f = 1910*f. Let l = 23 + -9. Suppose v - 3*v + l = f. Calculate the remainder when 13 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(4 + -1) + 1. What is the third derivative of 5*y**4 + 136*y**5 - 141*y**5 - 5*y**4 + t*y**2 wrt y?\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11144433 - -30?\nAnswer: -11144403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 + 1)*(-3 + 5*w + 3)*(1 - 8 - 7 - 2*w) in the form m + y*w**2 + t*w and give t.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 1070 = 5*r. Let y be (-4)\/((-16)\/r) + 2\/4. Suppose -9*i + y = -0. Solve -6 = i*v - 8*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 422798*k**4 + 3113302*k.\nAnswer: 5073576*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*r + r. Suppose 3*g = 4*w + 329, r = -g - w + 132 - 27. List the prime factors of g.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 27789 = 17*z - 5*u, 2*z - u - 18526 = 0. Is 157 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 69*y**2 + 14 + 23 - 29.\nAnswer: 69*y**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2133 and 6777?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -308316223640 plus 0.5?\nAnswer: -308316223639.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 4. Let o(w) = -4*w - 12. Let p(n) = n + 3. Let i(t) = 2*o(t) + 7*p(t). Determine 2*a(s) + 3*i(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2975 - 5010 - 3170 = -1235*x + 1195 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2089 - 2277. Do -0.4 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 362 + -362. Which is the second smallest value? (a) -0.8 (b) 0.03 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14659 + -22300. Which is greater: s or -7640?\nAnswer: -7640","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -5 + (80\/(-12))\/(28\/(-18)). Which is the nearest to o? (a) 2 (b) 0.3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*c + 1929*c**2 - 1875*c**2 - 62*c)*(-5 + 0 + 3)*(-c**2 + c**2 + 2*c**2).\nAnswer: -216*c**4 - 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -528, -771, -1016, -1263?\nAnswer: -1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/(18\/(-192)). Suppose 5*z - h = z. What is the units digit of z*(-2 - 26\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-one thirds of a day?\nAnswer: 34080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1620721 by -13.\nAnswer: -1620721\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - g)*(-3*g + 4*g + g)*(30*g**3 + 25*g**3 + 48*g**3).\nAnswer: -206*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_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: Simplify -3*(-1 + sqrt(1088)) - (sqrt(17) + sqrt(1377) + (sqrt(1377)*1)**2 + -3).\nAnswer: -1371 - 34*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.9 + -5. Let c = j + -4.9. What is the third smallest value in c, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 23*x**3 - 22*x**3 + 7*x**2 + 12*x - 3 - 6*x. What is a(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - -354?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 3*z**2 - 7*z + 16. What is the remainder when 13 is divided by f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107 and 4387?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/4)\/((-51)\/356422). Suppose 6*z - y = 1283. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**3\/6 - 25*s. Suppose -13*c - 35 = -41*c - 175. Let g(m) = 6*m + 4. What is c*b(z) + g(z)?\nAnswer: z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 21*d + 74. What is the remainder when w(22) is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*w + 138437 - 34555, c + 3*w - 51977 = 0. List the prime factors of c.\nAnswer: 11, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*j + 39 + 18, -5*z = j + 285. Let v = 122 + z. What is the units digit of (-13)\/v - 26\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqoqqxooqqxo. Give prob of sequence oooo.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162\/17 bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in 0.2, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.26578 rounded to one dp?\nAnswer: -21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5.2 (b) -2 (c) 0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 340*h**2 + 524*h**2 - 1218*h**2 + h**2 + 0*h + 0*h + (-h + 4*h - 2*h)*(h - 4*h + 2*h) + 2*h**2 - 2*h + 2*h.\nAnswer: -352*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 26*m**2 - 83*m - 69. Calculate the remainder when o(29) is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1251*n + 104 = 1225*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 1}. What is prob of picking 1 n and 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -7. Sort -5, 1, d in descending order.\nAnswer: 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283898633.\nAnswer: 283898633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4 - 1. Let s be -3 + 1 + (72 - 2). Suppose h - 38 = -2*l - 0, -x*l + s = -4*h. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 6*c**3 + 0*c + (1 - 1 + 1)*(5*c**3 - 2*c**3 - 5*c**3) + 5456*c**2 - 12*c**3 - 5456*c**2 + 5 to p*c**3 + j + k*c**2 + f*c and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -1, -3*m - m + 5*q + 157 = 0. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1090, -1089, -1088, -1087?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 2)*(10 - 10 - 4*y) + (2*y - y + 0*y)*(-3 + 5 - 1) + (1 + 4 + 3)*(-2*y + 0*y + 0*y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjlllljjjjjjljjjlj. Give prob of picking 1 j and 2 l.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + (-1 + sqrt(1216))**2 + sqrt(1216) - sqrt(1216))*-2 - sqrt(1216)*-1*3 - (4 + (-1 + sqrt(1216) + sqrt(1216))**2 - 5*-1*sqrt(1216)).\nAnswer: -7303 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 276596*o**3 - 5 - 12 + 2*o**2.\nAnswer: 276596*o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -12 + 6. Suppose -p*g = 5*x - 196, -x + 4*g = -47 - 6. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, -6, -42, -134, -306, -582?\n\"Answer: -4*d**3 + 8*d**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 5:13 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112721 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9*z - 910 = 0. Let x be 7\/(z\/(-65))*(-2)\/(-1). Let w(r) = r**2 + 7*r + 7. What is w(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7055.348l to millilitres.\nAnswer: 7055348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 10:29 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 243717585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 4*a + 4. Let r be g(2). Suppose -3*w - r = -5*w. Let s = 8 - 5. Solve w*j = -j - s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.04693 + 0.04693. Let h = -12\/11 - -59\/44. Which is the second biggest value? (a) h (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4566 - 4543. Solve -6*l - 51 = -f*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 6 + -7 - (2 + 1 + 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 366*t - 2154. Calculate the remainder when i(6) is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 485, 0.5, 1 in decreasing order.\nAnswer: 485, 1, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - (1 + 0) - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*g - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2448) - (sqrt(2448)*-1 + 1)) + sqrt(2448) + 4*-2*sqrt(2448)).\nAnswer: -240*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.454471 less than 0.0690505?\nAnswer: -2.3854205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24388 = -206*p - 3278*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.25 + -0.05. Let h = -15 - -13. Which is the biggest value? (a) h (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/19, 0.6, 329, -3, 4, 0.2?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 + -49. Let j = 34 - u. Put j, -1, -3 in descending order.\nAnswer: -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*s + 0)*(1 - 2*s - 1 - 1)*(2*s - 2 + 2).\nAnswer: -16*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -51095547.8936 minus -0.052?\nAnswer: -51095547.8416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**4 + 3*b**3 + 24*b**2 + 28*b = 0.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/112)\/((-19)\/4 + 5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 68827334*y + 1184300476386889.\nAnswer: (y - 34413667)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (81\/(-54))\/(6\/(-92)). Let m = 47 - o. Let f = 64 - m. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23.78, 21, 0.3 in decreasing order.\nAnswer: 21, 0.3, -23.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/5488 and -71\/784.\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42 times -139846\nAnswer: -5873532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 a, and 1 y when three letters picked without replacement from {a: 2, l: 6, j: 1, y: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o*y**5 + 3*o*y**3 + 7*o*y**2 - 6*o*y - 1030*y**3 + 368*y**2 + 2 wrt y?\nAnswer: 120*o*y**2 + 18*o - 6180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2830717?\nAnswer: 233, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 29*q**2 + 1. Let x be h(0). Which is greater: -4\/1567 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hphh when four letters picked without replacement from hhyphhtt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -26*v - 121. Let q be (-35)\/(-70) - (-2 + (-45)\/(-2)). What are the prime factors of y(q)?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/3*3\/2. Let f(h) = h**3 - 22*h**2 - 338*h + 30. Let l be f(-10). Suppose -l = -3*y - w*y. What is the highest common divisor of y and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 + 2*b - 2*b**2 + 4*b**2 + 2*b**2 to the form u + c*b + w*b**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + 5043\/82. Solve -59*g + q*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -22018?\nAnswer: -3\/22018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63257813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -303 + 466. Let x = 163.0000164 - d. What is x rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 10*g**2 + 12*g + 2. Determine c(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*k + 8. Suppose -2*p + 219 = 43. Calculate the highest common factor of k and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and 486443999326.3.\nAnswer: 486443999318.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19114155 divided by 5469.\nAnswer: -3495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2479246 and -149\/676158.\nAnswer: 7437738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = -3*z + 5*z - 4*u, -634 = -4*z + 5*u. What is the remainder when z is divided by 61?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. Sort 2, -3, i in descending order.\nAnswer: i, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17927569 divided by 1629779\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/1*(-6 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894422 is divided by 184?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*p + 198*p - 619*p + 204*p + 15241.\nAnswer: -2*p + 15241","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r - 17 = -39*r - 2*w, -3*r - 4*w - 1 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1569 is divided by 227?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -w + 5*w. What is the tens digit of w*(45\/(-6))\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 67*c - 141. Calculate x(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/((-104)\/(-13715))*1*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - 4*k**2 + 2*k - 4. Let s(z) be the first derivative of -z**4\/4 + z**3 - z**2 + 3*z - 124. What is -3*m(d) - 4*s(d)?\nAnswer: -2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 548184 and 16566?\nAnswer: 6030024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 85.99999951. Round u to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1793, 1438, 473, -1408, -4511?\nAnswer: -9142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/226152 and -145\/36.\nAnswer: 226152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z - 42. Determine u(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1142 - 727. Is 32 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 - 3 - 2*n + (-5*n - 5 + 5)*(-5 + 4 - 1))*(-4*n**2 + 4*n**2 - 2*n**2).\nAnswer: -16*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 6*t**2 - 8*t - 6. Let x be o(-7). Suppose -4*z + 8 - 4 = -n, -5*n + 2*z - 20 = 0. Let v(m) = -m - 3. Let p be v(n). Is p != x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 621083033923 + -0.3\nAnswer: 621083033922.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.07 (b) 2 (c) 3\/5 (d) -700\/103 (e) -3 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 17.8. What is the third biggest value in h, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 a factor of 889418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -26956*m**2 + 17*m + 6445. Let z(l) = -8986*l**2 + 6*l + 2149. Let w(k) = -6*s(k) + 17*z(k). What is the derivative of w(x) wrt x?\nAnswer: 17948*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61.045 + -0.045. Let w = z + -56. Let g = 1.1 - 1. What is the nearest to w in g, -4\/7, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 11:10 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q**3 + 4*q - 3. Calculate s(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/48 and 125\/102?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*z**5 + 184*z**4 - z**3\/2 - 23*z**2\/2 = 0. What is z?\nAnswer: -23, -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 3. Let g(l) = -l**2 - 5*l + 2*l - 2*l + 16. Let r = 234 - 218. Suppose 3*j = 5*w - j - 2, 5*w + r = -2*j. Determine w*g(z) - 11*o(z).\nAnswer: 2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 11. Suppose 4*s + a*g = 8*g + 122, -2*s = 2*g - 52. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 164, 260, 356, 452?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 6*i**2 + 19*i + 227. Let f be o(-7). What is the highest common divisor of 720 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 1, 0*t + 179 = 5*q - t. Let p = q - 24. Solve 11 = g + p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15228 less than -15240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/203 and 94\/4785.\nAnswer: 33495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 3*p + 4*p + (-3*p + 5*p + 0*p)*(0 + 24 + 12))*(7*p + 12*p - p).\nAnswer: 1332*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3123 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155 + -621\/4. Let j be (0 - (-21)\/90)*28\/(-7). Let n = 1\/3 + j. What is the nearest to b in n, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 s, and 2 i when four letters picked without replacement from asiik.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3084\/48 + (-4)\/16. Solve a + 68 = 44*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 2*c + 1827 - 1825, -4*p - 3*c - 36 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15575? (a) 81 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/20581 and -11\/5613?\nAnswer: 61743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5830753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 109 and 53325?\nAnswer: 5812425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -128, -1 in descending order.\nAnswer: -1, -10, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 - (-536)\/(-6)*(1 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 86*u + 1. Suppose 0 = 5*w - 8*w + 6. List the prime factors of i(w).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 15\/9 + 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or -27753\/823?\nAnswer: -27753\/823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 10. Suppose 4*y + s = -s - 22, -j*y + 3*s - 39 = 0. Let v = y + 14. Solve -3*c = -v*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4628)\/(-2))\/(1*(-24)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28598 - -28597.7. Sort -0.0042, j, 1.\nAnswer: j, -0.0042, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 b, and 2 a when four letters picked without replacement from {b: 1, a: 3, i: 3, n: 4}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128\/3 - 43. Let a = 5 - 0. Let s = a + -4.8. What is the third smallest value in s, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 96394347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 38\/4*(16 + -14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - v**3 + v**3)*(1 - 3 + 0) + (2*v + 4*v - 5*v)*(0*v**2 - 2*v**2 + 4*v**2) - 3*v + v**3 + 3*v.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 49*g + 31. Let k(s) = 2*s. Calculate k(u(h)).\nAnswer: 98*h + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59.3*0.0804.\nAnswer: 4.76772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22984?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 75566822 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -30*z**2 + 186*z + 1160. Give d(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.599 + 2737.7?\nAnswer: 2792.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 12:38 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7938 - -8129. What is the remainder when 338 is divided by h?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0*h + 0 - 1\/4*h**4 + h**2 - 5\/6*h**3. Let b be u(-9). Calculate the greatest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/42)\/((-3758)\/5637).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*55\/44*-30*(-166)\/(-415)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(5)*1).\nAnswer: -3*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4185 and 55.\nAnswer: 46035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 27798579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*a + 3 + 7, -25 = -2*a - 5*l. Suppose 5*j + o = 195, -2*j + a*o = -5*o - 105. Suppose j = -5*v + v. Round v to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 6. What are the prime factors of (2 + l\/6)*-36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d + 13*d + 9*d.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - 3*k - 3. Let h(v) = 8*v**2 - 7*v - 7. Determine 7*b(g) - 3*h(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 25, -5*d - 3*u = -7*u + 20. Factor -2\/3*l**3 - 2\/9*l**5 + d*l - 2\/9*l**2 + 0 - 2\/3*l**4.\nAnswer: -2*l**2*(l + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 10*a - 4*a + 19*a + 3 - 6*a**2. Calculate the remainder when q(-7) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 9. Let a(x) = -x**2 + 12*x - 14. Let w be a(12). Let q be o(w). Suppose q*h - 590 = -5*b, 6*b - 3*b = -5*h + 358. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 divided by -54?\nAnswer: -134\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - z**2 + z + 4. Let p be r(0). Let c be (6 - (-92)\/(-16)) + (-38)\/(-8). Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2978107 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 0.0340158.\nAnswer: 5.0340158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3154\/(-228) - (9 - 23))*(-5)\/1.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 + 146 - 4*r + 195 - 335.\nAnswer: -4*r + 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1804*t**2 + 2*t + 7. Let f(i) = -1804*i**2 - i - 6. Let n(z) = -6*f(z) - 5*j(z). Is n(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/14)\/(8\/56). Solve 2*d + 6*i - 2*i - k = 0, 2*d - 5*i = -25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 445, 658, 1027, 1558, 2257, 3130?\nAnswer: 4183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453693?\nAnswer: 3, 43, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -13. Solve -s - s = y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 228 = -87*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/67347 and -3\/149660?\nAnswer: 1346940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0162 + -0.0838. Put a, 1, -3 in ascending order.\nAnswer: -3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -7, 2, -1, -21, -3 in descending order.\nAnswer: 28, 2, -1, -3, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 927 - 925. Solve -x*d + 3*h - 8 = 0, -6*h + 2 = 4*d - 3*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1159*k - 11178. Determine i(-9).\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11365531 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is ((-30)\/(-18))\/((-25)\/(-5010)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-186)\/(-10))\/((6 + -1)\/25). Suppose 17*z = 20*z - p. Are 28 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6897119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6294 divided by 1049?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.47 + 2.97. Suppose 0*f + 10*f = 20. Put f, 2\/7, -1\/3, c in decreasing order.\nAnswer: f, c, 2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cllllc. Give prob of picking 2 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 9623913.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.652 - -2.707. Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(sqrt(605) + 2 - sqrt(605)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1 + i + 0 + 0. Let u = 0 + 3. Does 4 divide s(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {k: 1, c: 6, r: 3, a: 4}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -204025004 (base 6) in base 4?\nAnswer: -31202211130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 154 in descending order.\nAnswer: 154, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5.0245. Round l to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0, 8, -2, 137 in descending order.\nAnswer: 137, 8, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.9 - -67.8?\nAnswer: 135.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 12:36 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + 4\/((-1056)\/(-380)) and 89\/30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 146 - 212 = 0. What is the remainder when 54 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1325? (a) 3\/7 (b) 5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzz. What is prob of picking 2 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(sqrt(68) - (sqrt(68) - (sqrt(68) + sqrt(68)*1 + sqrt(68) + sqrt(68) - sqrt(68))*5)))\/(sqrt(196) + sqrt(196) + (sqrt(196) + -2*sqrt(196))*5).\nAnswer: -60*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 13 - 5. Let p be (-12)\/d*4\/3. What is the greatest common factor of 20 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27174389 to the nearest integer?\nAnswer: 5213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 180.4076064ns?\nAnswer: 0.000000000000298293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11773337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5590695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.001 * -369.\nAnswer: -0.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18990437 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4751*o - 66. Is d(-25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10566, -45, 14, 7 in descending order.\nAnswer: 14, 7, -45, -10566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -30. Is 94\/(2 - 12\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (0 - 0) - 4. Suppose 0 = -z + 2*i, -3*i = 3*z - i + 16. Which is greater: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -13 (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**2 - 740 + 1484 + 33*g + 6652*g**3 - 738 wrt g?\nAnswer: 39912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3*x - x)*(-1 - 2*x**2 + 1).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -110 + 110 - 30*j**5 + 7*j**5 - 8*j**5 - 6*j**5 + 6 + (-j - 3*j + 2*j)*(j**4 - 3*j**4 + 4*j**4) + 7*j**5 - 4*j**5 - 4*j**5.\nAnswer: -42*j**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9296.2722 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -62 + 191 - 98\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - q - q + (3 - 4 + 0)*(5*q - 2*q - 2*q) - 5*q + 4*q + 5*q)*(-4*q + 2798 - 1401 - 1431 - 5*q) to the form y + o*q + l*q**2 and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 1326.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 11*y**2 + 37*y + 27. List the prime factors of p(16).\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 1376199 and -32 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4420314 (base 5) to base 11\nAnswer: 52395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**4 + 582*j**3*w**2 + j**2 - 5*j*w**2 - 22*j - 14 wrt j.\nAnswer: -24*j**2 + 3492*j*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**3 + 3624*j**2 - 15319*j - 7291. Give b(-729).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4\/7 - 3688904*v**3\/7 + 11066736*v**2\/7 - 11066744*v\/7 + 526988.\nAnswer: -4*(v - 1)**3*(v + 922229)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 110001010100111011011010?\nAnswer: -110001010100111011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -118*o**2 + 14 - 17*o + 3*o - o**3 - 2*o + 131*o**2. Give c(11).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 75285.\nAnswer: -1\/75285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**4*z + 1072*k**2*z + 13620*z wrt k.\nAnswer: 4*k**3*z + 2144*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:10 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 13, n: 5}. What is prob of picking 2 n?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 17*h**7\/42 + h**6\/15 + 17*h**4\/6 + 4319*h**3\/3 + 127*h - 53. Find the second derivative of q(z) wrt z.\nAnswer: 340*z**3 + 24*z**2 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -306*g + 150*g + 153*g. Let n(r) = -r**2 + 4*r - 4. Let s(i) = i**2 - 7*i + 7. Let c(u) = -7*n(u) - 4*s(u). Determine h(c(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 9092507173\nAnswer: -9092507161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 12:29 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 436, 863, 1472, 2281, 3308?\nAnswer: 4571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3114 = 11*i. Does 53 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 116 = 4*b, 3*b - 13*k = -6*k + 87. What is the greatest common factor of b and 1769?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1315 divided by -975\nAnswer: -263\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 2*x - 1. Let j be g(2). Suppose 3*f + l - 3*l - 83 = 0, -4*l = -4*f + 108. Let o = -28 + f. Is o < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191.64 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d372 + -5?\nAnswer: -6d377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*a + 173 = 0, 0 = 2*m + 4*a - 8 - 58. Suppose -m*h = -41*h + 24. Solve 5*j - 3*n - 7 = 1, -h*j = n - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 25 + 40 = 0. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2382635 is divided by 9268?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29086516 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-2)\/4)*14. Let k = -301 + 2711\/9. Is k less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 2385.\nAnswer: 14310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15735 + 0.06482. Let d = 0.095 + s. What is d rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -5, -15, 45, -6407 in increasing order.\nAnswer: -6407, -15, -5, 0, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 34*p - 22*p + 3*p**2 - 9*p**2 + 4*p**2.\nAnswer: 2*p*(p - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 106.39? (a) -1 (b) -0.5 (c) 0.0142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27607007 to the nearest integer?\nAnswer: 5254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(65)\/sqrt(5))*-1.\nAnswer: -sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/26102152 and -59\/44.\nAnswer: 287123672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 3\/2, 0.1, 0.5 in descending order.\nAnswer: 3\/2, 4\/5, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 + -39. Let t = -41 + m. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v - 3 + 6*v - 2 + 4 to the form m + n*v and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593257 to the power of 1\/2, to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.48 + -22.98. What is the nearest to 66 in -5, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(-4))\/(374\/(-101) + 4) and 151\/1872?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1260 and 36?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a second in milliseconds?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -697, -649, -547, -391?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 765.8846 + 0.1154. Let p = 767 - l. Which is the nearest to 5? (a) 2 (b) -3 (c) p (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 13 - 12) + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6524693 and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 25.96.\nAnswer: -26.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 684050*m**2*s - 113*m**2 + 3*m*s + 9964825*m + 3*s wrt m.\nAnswer: 1368100*s - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 157.3634ml?\nAnswer: 0.1573634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/48)\/(4\/12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 221455583?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-91) + 813\/39. Suppose 8*c + v = -75. Let h be 2\/c + (-3464)\/240. Is -14 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 389, 785, 1183, 1583?\nAnswer: 1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*i**4 - 16*i**4 - 23*i**4 - 18 + 5*i**4 wrt i?\nAnswer: -116*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(5 + (sqrt(208) + sqrt(208) + (-1*sqrt(208)*3 - sqrt(208)) - ((sqrt(208) - (sqrt(208) + 0 + sqrt(208)) - sqrt(208)) + -4 + sqrt(208)))))**2 + -1.\nAnswer: -15552*sqrt(13) + 62423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 7*m + 14. Let v = -6 - m. Let x = 2 + v. Solve -2*c = x*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1\/3 (c) 25.3 (d) -1\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4536\/92165?\nAnswer: 4536\/92165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = -10*s. Let o(a) be the third derivative of 0*a**3 + 0*a + 1\/175*a**7 + 1\/150*a**5 + 0*a**4 + 1\/840*a**8 + s - 3*a**2 + 1\/100*a**6. Factor o(z).\nAnswer: 2*z**2*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 + 2 + 2 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 1. Determine x(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 312001 to the power of 1\/2, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 10:48 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 63\/147 - (-36)\/14. Suppose -g - 2*g = -l + 9, -2*g = -z*l + 20. Solve 0 = 5*n - 4*k + l, -2*n = -0*n - 2*k + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n. Let p be r(-1). Let o be (6\/(-5) - 0)\/((-45)\/300). Factor -2*u**2 - 9 - o*u**2 - 15*u**p - 30*u.\nAnswer: -(5*u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 264 - 800\/3. Which is smaller: -4 or p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71503779?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 1:36 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -23*k. Let n(d) be the third derivative of 1\/60*d**5 + 0 + 0*d**4 + 11*d**2 + 0*d + 0*d**3. Give n(j(v)).\nAnswer: 529*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -414\/13 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322873.\nAnswer: 61, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38098459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22674206381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5588862 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -14 (b) 0 (c) -270 (d) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 13) to base 9.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49, 40, 17, -26, -95, -196, -335, -518?\n\"Answer: -o**3 - o**2 + o + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -189, 4, -2, 8 in increasing order.\nAnswer: -189, -2, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.27 (b) 1 (c) 2119 (d) 153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 5*f**2 + 0*f)*(f + 2*f**2 + 0*f**2 + 2*f) - 2*f**4 + f - f + 2*f**4 - f + f + (-2*f + 2*f + 2*f)*(f - f + 2*f**3) - f**4 - 5*f**4 + 5*f**4.\nAnswer: -7*f**4 - 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1400, -1417, -1434, -1451?\n\"Answer: -17*v - 1383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -3*c + 10, -2*c - 12 = m - 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (68\/442 + (-422)\/(-130))*(-7 + 12). Let m(j) be the second derivative of 0*j**2 + 0*j**3 - x*j - 1\/4*j**4 + 0. Let p(v) = -8*v**2. What is p(m(u))?\nAnswer: -72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-12)*66\/4. What is the greatest common factor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37309290 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 4*y**2 - 5*y - 5. Suppose -20*l + 16*l + 8 = 0. Suppose 4*n + 3*z = -22, l*z = 4*n + 7*z + 26. Determine m(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.74 - -3.14. What is the nearest to 1\/14 in z, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.9572 to 0 dps.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 141 - 139. Let g(d) be the third derivative of 0*d**4 + 0*d**3 + 0 + 1\/300*d**6 - 1\/150*d**5 - 2*d**j + 0*d. Let g(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6149 and 40\/3311.\nAnswer: 43043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-262)\/(-393)*3\/(-5). Sort b, -558, -6\/5 in decreasing order.\nAnswer: b, -6\/5, -558","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, w: 2, k: 5}. What is prob of sequence kggk?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35\/157 - 5871\/10990. Calculate the common denominator of v and -46\/77.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/296 and -77\/182410?\nAnswer: 729640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 8:37 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1693 - 1395. Calculate the remainder when j is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/10 + 117\/(-66) + 2. What is the nearest to 2 in y, 2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**25)\/a*a**(1\/4) assuming a is positive.\nAnswer: a**(101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 0)*(2 + 4 - 5) + 2 - 3 + 0 - 4 - 3 + 6 + 8 - 73 - 1)*(2*t - 6*t - t).\nAnswer: 335*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 225?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 6, c: 2, s: 2, r: 3}. Give prob of picking 1 n and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 0*g + 7*g = g + 7*g + f, -2*g - 17 = -5*f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1719254 is divided by 72.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 0.3869, 0.5, 5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -59670 less than or equal to -59670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 5616 = -4*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.266?\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*x - 35 = 0, -a + 3*x = -0*a + 5. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Let q be -3*3\/(-9)*n. Solve q*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b - 158. Let y(l) = 3*l - 52. Let f(i) = -3*k(i) + 10*y(i). Let p be f(10). Calculate the greatest common divisor of 420 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = -3*i + 8, -4*v - 2*i + 38 = 0. Suppose -6*c - v = -5. Let s be 6 + 1 + (-4 - c). Solve -s*p + 3*p = 5*n + 12, 10 = -4*n - p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 20*w + 104. Suppose -5*x + 3*l + 113 + 126 = 0, -145 = -3*x + l. What is the hundreds digit of u(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1.39, 2\/7, 15, -2, 3\/4, 2, 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (308\/539)\/((-9)\/7).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*j**2 + 96*j**6 + 50*j**2 - 47 + 44 wrt j.\nAnswer: 11520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - 6?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 2*k**6\/15 - k**5 + k**4\/3 + 14*k**3 - 36*k**2 + 23*k - 115. Let s(g) be the first derivative of m(g). Factor s(x).\nAnswer: 4*(x - 3)**2*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/54158202 and 83\/18052734.\nAnswer: 54158202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 15*t**2 - 13*t + 470. Let o be m(16). Let j(p) = 155*p**3 - 31*p**2 + 31*p. Let k(d) = 31*d**3 - 6*d**2 + 6*d. Calculate o*j(u) - 31*k(u).\nAnswer: -31*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3748021?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 2\/5, 4, -366?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b17a - 3?\nAnswer: -b180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.81 or 4.14458?\nAnswer: 4.14458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from {u: 1, m: 1, f: 1, p: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 81152?\nAnswer: 568064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 14. Let k be l(11). Let q be 18\/(-8)*8\/k. Suppose -2 = -v + 1. Solve v*d = q*u - 4*u - 13, 4*d + 5*u - 21 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169*s**2*v**5 - 2*s**2*v**2 + 198354*s**2*v + 254*s*v**6 wrt v.\nAnswer: 10140*s**2*v**2 + 30480*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4\/w)**(-49))**(1\/15) assuming w is positive.\nAnswer: w**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**4\/12 - 2*t. Let u(c) = -c**2. Let i = 14011 - 14013. Determine i*j(g) + 6*u(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 106*x**2 + 318*x - 3. Determine n(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 724 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*1\/((-5)\/170). Let l = 140 - i. Suppose 4*f + 4*r - l = -r, 5*f - 358 = -3*r. List the prime factors of f.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 13. Let v(c) = 9*c**2 + 3*c + 2. Let o = -29 - -28. Let l be v(o). Is 11 a factor of s(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 2*r. Let o(b) = 4*b**2 - 9*b. Let f(q) = -9*d(q) - 2*o(q). Let c(a) be the first derivative of -a**2 + 6. Calculate c(f(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z + 0*z - 3944*z**3 + 3951*z**3 + 228 - 3*z as c*z**3 + n + l*z + s*z**2 and give n.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 - 5)*(-13 + 13 - 8*d) + 2 - 2 - 2*d to k*d + g and give k.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 6*r**2 + 5*r + 4. Let n be f(-4). Solve 4*p = -2*w + n, 16 = -p + 3*p + 3*w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -20502048.\nAnswer: -5\/10251024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -21 + 10 + p**2 + 13 + 5*p + 6. Let z be b(-5). Solve -19 = -5*o - 2*v, v + 0 + z = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448.486 rounded to the nearest integer?\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*g, -8*f + 8216 = -12*f - 2*g. Let c = 2054 + f. Factor -1\/2*x + 3\/4*x**c - 1\/4*x**3 + 0.\nAnswer: -x*(x - 2)*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5, 0.005, 2, -4956 in increasing order.\nAnswer: -4956, -0.4, 0.005, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*39655\/(-2030) + (-1 - 93\/(-87)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3 - 3\/(18\/(-15)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.075, 0, -33?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 0*a**4 + 0*a - 1\/6*a**2 + 2\/9*a**3 - 2\/15*a**5 + 8 + 1\/18*a**6. Factor b(q).\nAnswer: q*(q - 1)**3*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11284276*q**2 - 50968*q - 50 wrt q.\nAnswer: 22568552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26789393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ba + 1?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -2\/9 (c) -30\/17 (d) -2\/5 (e) 7094\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(500) + 1*sqrt(605))**2 + ((sqrt(5) + 0)*-6 - (sqrt(80)\/sqrt(2))\/sqrt(8)) - ((1*sqrt(80) - sqrt(80)) + -5 + -3 + 2).\nAnswer: -7*sqrt(5) + 2211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7623, 63678, 217947, 520212, 1020255?\nAnswer: 1767858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-18))\/((-3)\/891). Suppose -f = 3*o + 27. What is o rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 - 3 + 3*t**2 - 3*t**3 + 38*t + 165*t - 22*t as v + z*t**3 + q*t + g*t**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2846 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 less than 1069665965?\nAnswer: 1069665964.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 5. Let g = 23 - r. Let v = 25 + g. Put -0.2, v, -0.5 in descending order.\nAnswer: -0.2, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4589, -18402, -41425, -73658?\nAnswer: -115101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2879288782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 6*g**2 + 4*g - 1. Let h be z(-3). Suppose h*r - 3707 = 3*r. Suppose 0*q - r = -3*o - q, -o + q = -115. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r**2\/3 - 466*r + 1760\/3 = 0. Calculate r.\nAnswer: -176, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.900134l in millilitres?\nAnswer: 4900.134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 2499.\nAnswer: 124950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44)\/110 + 44\/10. Let l be (2 - 3)\/(-2 + 3). Which is bigger: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 10*y - 20. Let m be n(-7). Let x(j) be the first derivative of -m + 20 - 2 - 5*j**3 - 4*j. Find the first derivative of x(w) wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-99) - 51664\/18. Round t to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*p - 3 = -0, u - 11 = -p. Let w = 130 - 126. Suppose u = w*m - 3. What is the remainder when 17 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16421?\nAnswer: 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 8:42 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*f**2 - 9032*f - 2211*f + 24*f**2 + 29*f**2 + 32*f**2 in the form o + v*f**2 + c*f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.1 + -23. Let q = w + -0.1. Which is the nearest to 2? (a) 5 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n + 1. Let i be f(-1). Let y = 2386 + -1589. Let l = y + -801. Which is the biggest value? (a) -0.2 (b) l (c) 0 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 254176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -23 - ((-3 - -6) + -6 - 6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o*o**4)\/o)\/o)**2*((o*o*(o**(-2)*o)\/o)\/o)\/(o\/o**(1\/3)))**12 assuming o is positive.\nAnswer: o**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/((-4)\/(-60)). Suppose 3*t + w - 3 = z, 0 = -5*t + 4*w + 36. Calculate the highest common divisor of 10 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**5\/10 - l**4\/8 + 3*l**3\/2 + 103*l**2. Factor m(u).\nAnswer: -3*(u - 1)*(2*u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5185139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (10 + 7 + -31 - -4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 + 234. Let j = f + -138.9935. Round j to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 p when four letters picked without replacement from rlphlhrhllrrhlh.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 80*d**2 + 10*d + 155. Does 41 divide i(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j + 126 - 254 + 128. Let a(b) = -16*b**2. Give a(n(f)).\nAnswer: -256*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylal when four letters picked without replacement from illayi.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-216)\/10 + 10\/(-25). Let u = 29 + g. Let z = -3 + u. Solve 13 = z*r - a, 4*r = -a - a + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75400*v**3 - 75*v + 286 wrt v?\nAnswer: -452400*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582792688?\nAnswer: 2, 36424543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x. Let b = -98 - -104. Suppose -k - 5*m - b = 2, 2*m - 4 = -4*k. Let s(c) = -2*c + k*c - 77*c**2. Give a(s(d)).\nAnswer: -154*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4 = 9*z - 10*z - 0*z, -j - 85 = -5*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 231*a**5 - 2*a**3 - 43*a**2 - a + 53986?\nAnswer: 4620*a**3 - 12*a - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**5 - g**5 + 2*g**5 + (g - 2*g - g)*(3*g**4 - 4*g + 4*g) - 3*g**4 + 3*g**4 - 5*g**5.\nAnswer: -15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(0 + -3 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87840 and 578736.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 8*q**2 - 7*q + 4. Let m be 5\/(10\/6) + 4. Let g be a(m). Calculate the remainder when (-5 - -5) + (g - 1) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231.773 - -232. Let o = -0.063 - w. What is the closest to -1\/4 in o, -0.5, 3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 42. Suppose -6 = -3*a, -z*i + 5*a + 30 = -0*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -5.83?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46527602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8, 6, 30, 64, 108?\n\"Answer: 5*o**2 - o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7798?\nAnswer: 2, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 984.51568 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 11 = -3*d. Let x(q) = 7*q - 18. Calculate the remainder when x(7) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356316721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1563*y**3 - 1567*y**3 + 3*y**2 - 4*y**2 - 1 in the form i*y**3 + t*y**2 + j + z*y and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 2*b - b)*(-2 + 1 - 2).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13475772 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61\/5 in 1, 1\/10, -63\/2, -2\/9, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(-4)\/15*((-114)\/24 + 4). Is u bigger than 19\/176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + c + 1. Let t(g) = 2*g**2 - 9*g + 14. Let r(b) = t(b) + w(b). Let q be r(5). Solve q = -a + 4 - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3907 * 95646\nAnswer: -373688922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 105*v**2 - 600*v - 6000.\nAnswer: -3*(v - 20)**2*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-15)\/(-6))\/5. Suppose -5*g = -2*v - 2*g - 20, g = -5*v - 16. Sort v, i, -0.09.\nAnswer: v, -0.09, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -4, 31, -61.\nAnswer: -61, -4, -3, -1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 11*p**2 - 3*p - 21. Let t(r) = -62*r + 66. Let z be t(1). Let j(q) = 8*q**2 + q + 4. Calculate the remainder when j(-3) is divided by f(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593 = -25*w - 518 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aptatparant. What is prob of picking 1 n and 1 p?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/27 - (-125302)\/51084 and (-1)\/(-7)*(-5 + 24\/22).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-406)*2751\/(-786)\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 16. Find the first derivative of -4*d**4 + 4*d**4 - d**4 + 5 - r wrt d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*q - 5*q - 2*q)*(2 - 1 - 3) + (0*q + 3*q - 4*q)*(-3 + 4 + 0))*(-75 + 3 + 3)*(-4*q - 2*q + 2*q) to y + p*q**2 + a*q and give p.\nAnswer: 1932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007685178 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 285 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**2\/2 + 4*h - 6. Let d(t) = -t**3 - 4*t**2 + 5*t - 2. Let l be d(-5). What is the units digit of n(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c. Let v(g) = 2*g**2 - 3554*g. Determine k(v(u)).\nAnswer: -4*u**2 + 7108*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -460a1 + -12a?\nAnswer: -46220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.21 + 0.34. Let o = c + -0.23. What is the closest to o in -0.01, 0.1, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46141 is divided by 11531?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvh when three letters picked without replacement from {b: 1, t: 1, g: 1, h: 1, v: 2, p: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 u when four letters picked without replacement from {j: 1, l: 1, u: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -5*b + 11. Suppose 0 = 3*a - 27 + b. Solve -1\/4*h + 1\/4*h**a - 1\/2 = 0 for h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 8*r + 11. What is the least common multiple of f(-7) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*a - 2470 = -221*a. Calculate the remainder when 498 is divided by a.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365 + 25*f - 1083 + 358 + 362.\nAnswer: 25*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 91283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -848, -576, 78, 1276, 3180?\nAnswer: 5952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-78)*1937\/447.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1618.21425397 + 1611.514255. Let d = w + 6.7. What is d rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/13 - ((-24)\/(-1))\/((-2691)\/(-4692)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245368834 is divided by 232137?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 3*u + 4*q, -348*q + 350*q = -5*u - 52 - 182 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -13. What is the second derivative of -2*k**2 - 2*k**2 - 7*k + 2*k**4 + t*k**2 wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -787\/21 - -71\/7. Let y = 398\/15 + t. Let s = -0.04 - 0.06. What is the smallest value in y, s, 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 2:37 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -33. Suppose j = 3*h - 0*h - 5*b, -1 = -2*h - b. Let y be (h\/(-4))\/((-23)\/92). Put 4, -5, y in ascending order.\nAnswer: -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 729*o - 203*o + 23 - 23 in the form a + m*o and give m.\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-4)*1140\/(-665).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c - 29. What is the tens digit of n(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7704424?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 518794804 to the nearest integer?\nAnswer: 22777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from blknanllnlnnnnallll?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -847?\nAnswer: -847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11304114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/6)*q**(5\/7)*(q**(-2\/7))**(-47))**(-32) assuming q is positive.\nAnswer: q**(-10064\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 11, -3, 0, -2, -113 in decreasing order.\nAnswer: 11, 0, -2, -3, -30, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 1. Let b(r) = 3*r + 1. Let x(w) = -b(w) + l(w). Let q(u) be the first derivative of -u**2 + 1 - u + u. Calculate q(x(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j)\/(j*j**0)*(j\/(j*(j*j\/((j*j**(-6)*j)\/j*j*j))\/j*j)*j)\/j**(1\/5) assuming j is positive.\nAnswer: j**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = 4*n. What are the prime factors of ((-12)\/8 - 1)*n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 782270?\nAnswer: 782281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 36*k - 14. Let u be 5 + -3 - 0 - -12. Let i be q(u). Suppose 5*x - l = 209 + i, 0 = -5*x - 2*l + 687. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46270560 divided by 6153?\nAnswer: -7520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - f - 1. Let x be d(-2). Suppose s + x = 19. Let m = 3 + 2. Calculate the smallest common multiple of m and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71396 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11390 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*82142.\nAnswer: -24642.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12077 = -24*c - 7469. What is the greatest common factor of 3288 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 3*k + 10. Let m(j) = j**3 - 5*j - 5. Let t be m(-2). Let p be l(t). Suppose 12 - 2 = 2*d. What is the greatest common factor of p and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -31.109 and 15.\nAnswer: -16.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 47*a**2 + 48*a + 92. Determine r(-46).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 63 = 3*y. What is o in 2\/7*o**y - 8\/7*o**2 + 8\/7*o + 0 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 3*d - 4. Let i(h) = -6*h**2 - 2*h - 1. Let c be i(-1). Let y be j(c). What is the remainder when (-52)\/(-14) - y\/(-21) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (678\/126*1)\/(1201\/25221)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven halves of a meter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3797732.\nAnswer: 2, 17, 55849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*m + 40, 5*m + 69 = 4*g + 2*m. Let h = -2531 - -2540. Solve -2*c + 5*c = 3*o - h, -4*o - 2*c - g = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Let j(n) = -k - 5*n + 1. Let v(c) be the second derivative of c**3\/3 - 136*c. Give v(j(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/1*-2*(-16)\/(-56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/300 and 21\/12875?\nAnswer: 154500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18925, 18943, 18983, 19057, 19177?\n\"Answer: 2*s**3 - s**2 + 7*s + 18917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 3*l**2\/2 + 1. Let r(t) be the second derivative of 1\/6*t**4 - 2*t + 0*t**3 + 0*t**2 + 0. What is r(p(j))?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2233103 (base 4) to base 2.\nAnswer: 10101111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x - 80. Calculate j(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-107)\/1070)\/(3\/(-690))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 191619 - 113919. Is s a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593132?\nAnswer: 2, 79, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 44 + 28. Suppose -d*g - 3 = -13*g. Let q(c) = 2*c - 2. Let m be q(g). Solve -12 = -4*r + m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, 35, 41, 27, -13, -85?\n\"Answer: -y**3 - y**2 + 30*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22275 (base 9) to base 7.\nAnswer: -61115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/3? (a) -3 (b) -171 (c) -1 (d) -346\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by -4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 3*g**2 + 9)*(5646 - 13*g**2 - 5646)*(g - 4 + 4).\nAnswer: 39*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, i: 5, q: 2}. What is prob of sequence idqd?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 26*n - 542. Let j = -6 + 6. Let t = 2 - j. Calculate the least common multiple of c(22) and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 5*y - 99. Calculate the remainder when y is divided by (-32)\/16 + 30\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 11*d**2 - 14*d - 24. List the prime factors of v(13).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0.37, -0.067 in decreasing order.\nAnswer: 0.37, -0.067, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 131798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**4 - 4*a + 3. Let v(y) = 2*y**4 + 5*y - 4. Let k(m) = -4*v(m) - 5*z(m). Differentiate k(r) wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 449, 3\/4, -4520\/11?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmmm when four letters picked without replacement from {m: 3, r: 8, b: 4, k: 4}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1))**50*((g\/(((g**(-2\/27)\/g)\/g*g*g)\/g)*g)\/g)\/g**(-4) assuming g is positive.\nAnswer: g**(164\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-19)*u)*u*u*(u*(u*(u*u\/(u**19*u))\/u)\/u)\/u)\/((u**(-9)\/u)\/u)**(-1) assuming u is positive.\nAnswer: u**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10402*h + 16551.\nAnswer: -10402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86812 is divided by 2475.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21, -98, -205, -324, -437?\n\"Answer: 3*u**3 - 33*u**2 + u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.514096 meters?\nAnswer: 2514.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -219 + -a98?\nAnswer: -10b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.6 in 1.56, 17, -144?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -2\/341 (c) 1\/4 (d) 3 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -730*c**2 + 477*c - 3230 - 657*c**2 + 1389*c**2 wrt c.\nAnswer: 4*c + 477","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - d**2 - d - 1. Let s be l(2). Calculate the common denominator of 13\/58*(-5 + s + 1) and (330\/28)\/(-5) - -1.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 4*c + 30. Let z = 5 - c. Let y be (4\/16)\/(z\/8). Do y and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821651 is divided by 1660.\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*(-12)\/(-18)*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 7*w**2 - w - 5. Let x be u(-7). Calculate the greatest common factor of x and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*m + 9245004, 21*p - 17*p = 3*m - 7396003. What is p rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 13. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 12, 4, 9, 28, 0.13?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -212.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 38 + 12 = 0. Suppose 8*c - 3*c = p. Sort 0, -3, c.\nAnswer: -3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -8. Let n = 7 - b. Suppose s - 1 = 0, n*s + 30 = -3*z + 124. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r. Let c(m) = 11*m**2. Determine v(c(q)).\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 302463151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3978, -4093, -4212, -4335, -4462, -4593, -4728?\nAnswer: -4867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 0.03 (c) -2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*v**2 + 63*v**2 - 137*v**2 + 3*v - 25*v as m + w*v + g*v**2 and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69516*a**3 + 2002*a + 413014597?\nAnswer: 208548*a**2 + 2002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 56 - 8*r - 36.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-426)\/(-10) - (6\/10 + -1). Suppose -6 = -v*j + 37*j. Sort -2, -6, j in descending order.\nAnswer: j, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684262 is divided by 228030?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 488770130 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 3, -29, -2\/17, -0.15 in descending order.\nAnswer: 3, -2\/17, -0.15, -0.7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 14*s**2 + 40*s - 41. Give g(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*v - 19, 2*c - 4*v + 8 = 26. Suppose 2*g = -c*r + g + 259, -206 = -4*r - 2*g. Let h = 110 - r. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.01539 millennia in decades?\nAnswer: 5901.539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*7*(1 - 2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - 14. Let s(b) = 3*b**2 - 15. What is -5*d(n) + 4*s(n)?\nAnswer: -3*n**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 285\/19*6\/45. Is 43 a factor of (c*(-2)\/8)\/((-1)\/2432)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*f - 4 + 0 = 0, -4*f - 20 = -2*h. Let d be (-3)\/(-1) + (-2 - -1). What is the derivative of d*q + 0*q + 2*q + 3 - h*q wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 170706*w**3 - 24*w**2 - 979*w wrt w.\nAnswer: 1024236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllyvlllyvyyl. What is prob of sequence lv?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*g - 41816 = -190*g + 360*g. What are the prime factors of g?\nAnswer: 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 9\/8, -4, 1, -3\/5 in descending order.\nAnswer: 9\/8, 1, 0.12, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22252 + -4?\nAnswer: 22244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 21361585, -1 in decreasing order.\nAnswer: 21361585, 19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -5, 3, 5, -333 in ascending order.\nAnswer: -333, -5, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -7*n**3\/2 + n**2\/2 - 1523*n. Let z(v) = 6*v + 1. Calculate z(c(k)).\nAnswer: -126*k + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**2 + 15*f - 3. Is k(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2749, 5495, 8231, 10951, 13649, 16319, 18955, 21551?\nAnswer: 24101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3634 - 0.04?\nAnswer: -3634.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 5415*a + 5410.\nAnswer: 5*(a + 1)*(a + 1082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 11*p**6\/30 + 11*p**4\/6 - 382*p**3\/3 + 693*p. Find the second derivative of y(h) wrt h.\nAnswer: 132*h**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 239774 or 239779?\nAnswer: 239774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6944865\nAnswer: 6944866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4141 - -4141. Let d(b) = b + 2. Let g be d(-2). Solve -2*r + a*r + 8 = g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 1. Let r = -0.308 - 0.2888. Let a = r - s. What is a rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612.7625nm to kilometers.\nAnswer: 0.0000000006127625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.5 (c) -0.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 25015454 (base 6) to base 15\nAnswer: 10ab71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**5\/10 - 7*d**4\/12 + d**3\/3 - 3*d**2 + d. Is y(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4281292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100733570 - 1825967474. Let v = z - -1725233918.00000054. Let t = 14 - v. What is t rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, b: 3, i: 4, w: 2}. Give prob of sequence iw.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 - 2*k**2 + k - 4. Let d(v) = 8*v**3 + 7 - 4*v + 7 + 3 + 9*v**2. Let r(x) = x**3 - 11*x**2 - 11*x - 10. Let o be r(12). Give o*d(m) + 9*w(m).\nAnswer: -2*m**3 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:37 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*z + 16, -6*z + 3*z + 8 = 2*l. Suppose 0 = -5*n - l*m - 10, -26 = -22*n + 19*n + 4*m. Solve -n*s - s - 2*o = -9, -4*s + 2*o = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-18) - (-2722)\/18. Let j be (51\/(6\/2))\/(20\/(-74 + -26)). Let s = f + j. Is 33 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3828 = 82*d - 93*d. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*o, o - 76 = 4*x + 5*o. Let i = 20 + x. Let f = 1.1 + -0.1. What is the nearest to -0.1 in 4\/7, f, i?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12483 and 2619?\nAnswer: 3632553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, z: 4, c: 1, j: 4}. What is prob of sequence chhj?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 3*l + 6. Let y(n) = -1. Let f be 2*1 + 17 + -22. Let w(x) = f*y(x) - r(x). What is w(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**4 + 30*k - k**3 + 2 + k**3 - 31*k as q*k**2 + p*k**3 + x*k**4 + i + h*k and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 9062.34084 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 176.\nAnswer: 1\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -0.5 (c) -1.33 (d) -3 (e) -47 (f) 0.094\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 22. Let k = g + -1. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0125092 to 4 decimal places.\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 353, -4, 5, -2 in increasing order.\nAnswer: -4, -2, 1, 5, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -112*g + 3. Let c(n) = n - 11. Let x be c(4). Is o(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3594 divided by 1797?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025836157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 15. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -84*w**3 - 1348*w**2 + 14816*w - 32320 = 0. What is w?\nAnswer: -505\/21, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -38. Let x be (6 + f)\/(3\/12). Suppose 0*y = 4*y - x, -3*y + 7956 = 3*n. What is n rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-6)\/2 - -2). Let q(p) = -3*p**2 + 2*p**2 - 6*p + o + 0. Let u be q(-6). Put u, 1, -2 in descending order.\nAnswer: u, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*c = 16, -374*y - c - 22 = -369*y. Sort 96, y, -86 in descending order.\nAnswer: 96, y, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10156 in -0.0445, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Let n(d) = -d + 3. Let b be n(v). List the prime factors of 7\/7 - 19*b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from fytfttffffffytt?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -672 divided by 224\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -107122.\nAnswer: -1178342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**7\/840 - i**6\/60 - i**5\/40 - i**4\/8 + i**3\/3 - 16*i**2 - 69. Let s(x) be the third derivative of f(x). Determine s(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -380, -386, -388, -386?\n\"Answer: 2*v**2 - 12*v - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-3\/7))*z\/(z\/z**4)*z**(2\/5)*z**(-4\/7))**(-1\/22))**(-2\/5) assuming z is positive.\nAnswer: z**(17\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-29 - (7 - 5)) - 18.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrrr when four letters picked without replacement from {q: 5, r: 11}.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -100?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 793\/572 - (2 - 0\/3) and -115\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 334526.7395 - 334457. Let j = v + -0.0895. What is j rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 10 (b) -37 (c) -0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12628\/(-861)*(-3 + ((-6)\/(-4) - -3))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/2))**38*(u\/u**(-1\/4)*u*u)**42)**23 assuming u is positive.\nAnswer: u**(8901\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1758 + -1?\nAnswer: -1759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3122283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -10*b + 80. Suppose -3*f - 24 = -2*x, -b = -f - 4*f. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 1 - (2 - 1)*-4. Solve 0 = l*j - m - 6, -j = j + 2*m + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -295, -442, -589?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110885591 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -29*s**4 + 11*s**3 - 16*s**2 + 11. Let c(u) = -15*u**4 + 6*u**3 - 8*u**2 + 6. Let p(y) = 11*c(y) - 6*i(y). Find the third derivative of p(a) wrt a.\nAnswer: 216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5\/3, -1\/7, -37243, 0.13 in descending order.\nAnswer: 5\/3, 0.13, -1\/7, -0.4, -37243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -16. What is the remainder when 29 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**5\/7 - 32*p**4\/7 + 150*p**3\/7 - 28*p**2 + 80*p\/7 = 0.\nAnswer: -20, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 2674?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 118. Let p = -58 + g. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k - 4 + 4)*(-1 + 1 - 4*k)*(-29*k + 51*k - 24*k - 1).\nAnswer: -56*k**3 - 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3291 and 0.1.\nAnswer: -3290.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*3.22942\nAnswer: 0.968826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -115110, -230235, -345352, -460461, -575562?\n\"Answer: 4*i**2 - 115137*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 771 = 4*c, 4*c - 2*c - 4*w = 372. Let m = -89 + c. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16788 by -4.\nAnswer: 4197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 14) in base 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*n**3 + 355*n**3 - 138*n**3 + 142.\nAnswer: n**3 + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 5:08 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1431512, -1431391, -1431270?\nAnswer: -1431149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = 2*u - 15, 0 = 3*u - 4*i + 5. Suppose 0 = -15*h + 104 + 16. Solve h = 2*z - u*c, -c + 5 = -3*z - 2*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*v - 22, -2*v - 1 - 1 = -2*o. Let z = -1 + -4. Which is the closest to 2\/7? (a) -4 (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 + 20*k**2 + 272*k\/7.\nAnswer: 2*k*(k + 2)*(k + 68)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 - 2*x**2 + 4*x**2. Let a = 48 - -25. Let n(k) = -73 + a - 5*k. What is w(n(g))?\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3918.28 to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*a - 3*g - 6, 1 = -3*a - 4*g. What are the prime factors of 21\/9 + a\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13*m - 111. Let o be j(9). Solve 6 = -o*p + 36 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141636 a multiple of 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 10. Find the first derivative of -f - 3 + q - 1 + 3 wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -733203.03 rounded to the nearest ten thousand?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 3*q + 3. What is the remainder when 61 is divided by h(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30*1\/4*2. Solve -2*m - b = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01952 + 85.09952. Let t = -79 + m. Round t to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66322254 (base 7) in base 13?\nAnswer: 1248b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (221\/11 - (-131)\/(-1441))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -158 * 0.342\nAnswer: -54.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvvvxvvvvxxvvxvx?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 329, 614, 903, 1196?\n\"Answer: 2*l**2 + 279*l + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10498\/(-4344) - (-2)\/12.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*v - 37654 = 2235 for v.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = -0. Let x(f) = f**2 - 13*f - 3. Let s(v) = -v**2 + 7*v + 2. Let b(t) = i*x(t) + 5*s(t). Calculate b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793 divided by -1?\nAnswer: -793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 11267376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -43729*q. Let j(s) = -100*s**2. Determine m(j(w)).\nAnswer: 4372900*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319, 1042, 2249, 3940, 6115?\nAnswer: 8774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, -0.5, -0.4, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12567 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 257395 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-6514.\nAnswer: 13028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-738)\/3690 - (0 + (-59)\/(-5))) + 139\/12?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, p: 1, f: 2, e: 2, o: 1, s: 1}. What is prob of sequence pfov?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1421*a + 19542 = 147432 for a.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 2\/13, -2017\/2?\nAnswer: -2017\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-3)\/45).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*i - 34 = -130*i + 27*q, -6*i - q = 32 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3, 35 in increasing order.\nAnswer: -3, 12, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -216.5 + 217. Let z = -17 - -21. Let r be ((3 - z)\/(-6))\/1. What is the nearest to 1 in -0.2, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, 2, -11, -3, 1, -8 in decreasing order.\nAnswer: 158, 2, 1, -3, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 31330*v - 1950148.\nAnswer: 2*(v - 15727)*(v + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = m + 1, 4*m + 5*g = 7. Solve -m*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**4\/12 - c**3\/2 + c**2\/2 + c. Let l(i) be the first derivative of v(i). List the prime factors of l(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 15. Let v = -118 + 72. Let o = m - v. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/44)\/((-1)\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/168 + 16\/(-48). Sort t, -1\/3, 4, 1\/10 in ascending order.\nAnswer: t, -1\/3, 1\/10, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23328 + 3149336\/135. What is the common denominator of o and 0 - (-1)\/((1575\/(-228))\/(-5))?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73858, 73860, 73862, 73864?\n\"Answer: 2*w + 73856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 1112022000011102?\nAnswer: -1112022000011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5, 2*r + 2*r + 4 = -w. Suppose w = -2*p - 2*p. Is p >= -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7118 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i. Let h(n) be the third derivative of -1\/20*n**5 + 0*n + 0*n**4 + 0 + 0*n**3 - 7*n**2. Give r(h(o)).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10407946 plus 0?\nAnswer: 10407946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 4, -7, -2\/7 in decreasing order.\nAnswer: 4, 2\/7, -2\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.41 + -0.31. Let p = 16 - 16.3. Which is the closest to v? (a) p (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8180.\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11813.\nAnswer: 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y + 4. Let d(z) = -9*z. What is a(d(i))?\nAnswer: 36*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*(-3 + sqrt(5) - sqrt(5)) - sqrt(5))*-5 + ((sqrt(140)\/sqrt(7) - sqrt(20) - sqrt(20))\/sqrt(4) + 5)**2*4.\nAnswer: -35*sqrt(5) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2258018 is divided by 564504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*n + 14775 + 424*n - 2783.\nAnswer: -2*n + 11992","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2545437 rounded to four dps?\nAnswer: 0.2545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l**3 + 20*l**2 + 5*l = 0. What is l?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*((sqrt(153) + sqrt(153) + 4 + sqrt(153) + -4 + (sqrt(153) - (sqrt(153) + sqrt(153) + -2)*-1) + sqrt(153))*-3)**2 + 4).\nAnswer: -2268*sqrt(17) + 202539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from uhqugug?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -551 - -623. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89 + -84 + (1 - -4) + -57 + 7.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 69.\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 371360 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -20*o**3 + o**2 + o. Let d be p(-1). Let f = -130 + -44. Let x be 4\/30 + f\/(-45). Solve -2*g - g - x = -j, -3*g + d = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m - 5868182 = -5868714 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110220001122210 (base 3) to base 16.\nAnswer: 68894d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -31*n - 1917. Calculate the remainder when s(-69) is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -301, -314, -351, -424, -545, -726, -979?\n\"Answer: -2*y**3 + y - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -17 - -7) + (0 - 5 - -9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.99 + -0.01. Let h = o - 0.9659. Round h to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (287 - 67 - 6*f + 10)*(f**3 - 4*f**3 + 5*f**3) + (2*f**2 - 3*f**2 + 3*f**2)*(-1 - 2*f**2 + 1) in the form x + u*f**4 + h*f + c*f**3 + j*f**2 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 3*v + 15 - 14, -3*r - 3*v + 6 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97044 divided by -27?\nAnswer: -32348\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 175177359 to the nearest 1000000.\nAnswer: 175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 105. Let h = n - -24.5. Let z = h - -53. What is the closest to -5 in z, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4 + 120*r**3 + 16305*r**2 - 16650*r - 32832 = 0 for r.\nAnswer: -57, -1, 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1060 or 25405\/24?\nAnswer: 1060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.024 and 0.0322.\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9087?\nAnswer: 3, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -133 - -44?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 23. Let h(r) = 3. What is -6*h(v) + z(v)?\nAnswer: -v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 19*w - 37. Let a(x) = 9*x - 18. Suppose 0 = 5*d - d + 16. Let g(l) = d*n(l) + 9*a(l). Is g(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 446 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(2\/5)*j*j**(-5)*j\/j**(3\/7)*j\/(j*j**0)*j\/(j\/((j\/(j**(-5)*j))\/j)*j)*j**(-1\/7)*((j\/j**(-1))\/j*j*j)\/(j*(j\/j**4*j)\/j) assuming j is positive.\nAnswer: j**(204\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -0.4 (b) -2.7 (c) 3 (d) -0.1 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24654 and 5058?\nAnswer: 20783322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 2*w + 6. Let z = 47 - 46. Let p be z + -5 - (-14 - -10). What are the prime factors of v(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/11, 2, -3\/2, 159?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 553 and 35656.\nAnswer: 36209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 20 = q. Let n be q\/(-9) + 18\/(-81). Suppose 3 + 15*z - 9 - 8*z**n - 7*z**3 + 6*z**2 = 0. Calculate z.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**3 + 8*n**2 + 6*n. Let i(z) = z**3 - z**2. Let p(h) = -c(h) - 2*i(h). Let v = 305 - 337. Let y be 24\/v - 3\/(12\/(-31)). What is p(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 12\/(-4) + (-1 - -1). Let l be (2\/(-4)*1)\/(v\/(-12)). Find the common denominator of 11\/2 and (-4 - l) + (-94)\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 11:31 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (213\/(-3550))\/((-12)\/16)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is cb11 (base 14) in base 3?\nAnswer: 1210010222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17136 = -114*v + 240*v. What is the smallest common multiple of 2958 and v?\nAnswer: 11832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 151*h**2 - 295*h + 481. Give a(-149).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imxfhxpm. What is prob of picking 1 p, 1 f, and 1 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1955622.3245 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k + 26. Let p(g) = -7*g - 25. Calculate -7*p(s) - 6*u(s).\nAnswer: s + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 536*(-49)\/2548?\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.978 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(-164)\/410?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 184160388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 14340276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2921 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 33*y - 8. Let p(n) = -34*n + 11. What is -5*a(m) - 4*p(m)?\nAnswer: -29*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + -11. Let z = 32 - 24. Does 23 divide 366\/z - 4\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 35. Suppose 2*m = 10 + 2. What is the remainder when -12*1\/(-2)*m is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6520663635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + 2 + 1 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(136) + (sqrt(136) + (sqrt(136) - 1*sqrt(136)))*-5)\/(sqrt(8) + (2*sqrt(72) - sqrt(8))) + 4).\nAnswer: -10*sqrt(17)\/3 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = 5*i - 4*i - 8 + 1, 0 = 2*g - 5*g - 6 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/4 (b) -12 (c) 585 (d) 4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -6 + 5 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 653 and 19?\nAnswer: 12407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1237150 and 55900?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 12. Let b be w(6). Suppose 4*h = 2*c - 22, 0 = -4*h - h - 4*c + 5. Sort b, 3, 6, h in decreasing order.\nAnswer: 6, 3, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*z + 9*z + 1485. Is -5*246303\/z - 6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 55. Sort 5, c, 6 in ascending order.\nAnswer: c, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -41, -41, -39, -35, -29, -21?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14.8 or -409?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*g**2 + 0 + (3*g - 3*g - g)*(3 - 3 - g))*(309650*g - 309650*g + 2269*g**2).\nAnswer: 6807*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -1526*t - 3500. Let f(b) = -77*b - 175. What is 6*c(x) - 119*f(x)?\nAnswer: 7*x - 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -943 + 55*u**4 + 943 + (-u - u + 6*u)*(0 - 3 - 13)*(2*u**3 - 1 + 1).\nAnswer: -73*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 24\/(-15))\/(8\/(-20)). Suppose 1096 = n + x*a - 8*a, 5*n - 5488 = 3*a. List the prime factors of n.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzwzwa. Give prob of sequence zazw.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/360 and -91\/82103760.\nAnswer: 82103760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 1\/15*r**5 + 1 + 1\/135*r**6 + 0*r**2 - 4\/9*r**3 + 5\/54*r**4 - 48*r. Let h(o) = 0. What is o?\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 + 140*x**3 + 1300*x**2 + 4000*x.\nAnswer: 5*x*(x + 8)*(x + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 15*z - 10*z - 20*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26737.27 litres to millilitres.\nAnswer: 26737270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326, -350, -384, -434, -506, -606?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l. Let q(b) = b - 1. Let j(k) = -6*k**2 + 4*k - 4. Let y(f) = -j(f) + 4*q(f). Determine z(y(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -22*x + 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 3, u + 2*u + 303 = -3*b + 243 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35961703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b - 16. Let d(x) = 2*x + 9. Let v(a) = 7*d(a) + 4*l(a). Let k(j) = -17*j - 3. Suppose r + 10 - 6 = 0. Calculate r*k(w) + 11*v(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 1. Let l(i) = 5*i - 5. What is -l(d) - 6*p(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 <= -10028\/719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -1.581313.\nAnswer: -0.01581313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -8032438.\nAnswer: -8032439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 500000. Let n = -10 + 9. Let a be (-1 - n)\/(13 + -16). Let w be j(a). What is w rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4265 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 45*j**2 + 20*j - 41. Let x be z(-22). Suppose u = -b + 2*u + 387, x*b = -2*u + 1151. What are the prime factors of b?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228*p**2 - 84*p**2 - 1 + 134*p**2 + 298*p**2 to z*p**2 + d + s*p and give z.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1.8175, 1\/5, 0.3.\nAnswer: -1.8175, -1\/2, 1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31.7? (a) 136 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1310 * -3348\nAnswer: -4385880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 234 - 239. Sort -8, k, 1 in increasing order.\nAnswer: -8, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 10*z**2 + 15*z + 13. Let f(m) = -m**3 + 13*m**2 - 14*m + 17. Let o be f(12). Let j be i(o). What is the highest common divisor of j and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t. Let f(s) = -35*s - 7. Let m be f(-3). Let w(z) = -3*z**2 - 98 + m. Calculate l(w(x)).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**6\/6 + 3*d**5 + 37*d**4\/2 + 164*d**3\/3 + 84*d**2 + 64*d - 355. Solve h(p) = 0.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-18)*(a\/a**(-2\/7))**(-12) assuming a is positive.\nAnswer: a**(-108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/12 + 1722\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 2*k - 11. Calculate c(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1158140 and 1264.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -270.46 and 8.7?\nAnswer: 279.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + g**3 + 3 + (0 + 2*g**3 + 0)*(-34 - 30 + 49).\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 129*u**2. Let t(b) = 76*b**2 - 6. Calculate t(q(x)).\nAnswer: 1264716*x**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9069601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 plus 1614.07223?\nAnswer: 1682.07223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2742131960 rounded to the nearest 100000?\nAnswer: -2742100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 77*l - 75*l + 3 - 5. Let m(h) = -h**2 - 6*h + 3. Let o be m(-5). Let z(b) = -6*b + 7. Let v(u) = o*j(u) + 3*z(u). Calculate v(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 9. Let z be x(3). Suppose 936 = -z*u + 12*u. Let a = u + -216. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 - -204?\nAnswer: 1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10435 is divided by (-594)\/(-2) - 15*(-308)\/(-660).\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162 + 6. Calculate the highest common factor of u and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 64 = -u + 69, -2*u + 3*c = 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from txmvmuttt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*o - 30 = 0, -5*j + 3*o + 10502 = 10532 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36280849 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 106*w - 1 + 268*w - 1 + 24*w.\nAnswer: 399*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 5:12 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 20*l**3 + 46*l**2 + 3*l + 2. Suppose -12*n - 40 - 8 = 0. Let t(b) = 19*b**3 + 45*b**2 + 3*b + 3. Let m(h) = n*t(h) + 5*k(h). Factor m(f).\nAnswer: (f + 2)*(4*f + 1)*(6*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*n + 31. Suppose 3*a = 4*p - 27, -3*p + 5*a = p - n. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 12*g - 6. Let w be q(10). Let s be (-212)\/7 - (-4)\/w. Let h be s\/10 - (-28 - -1). Solve 5*l + 4 = h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 489 or 490?\nAnswer: 489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -209*296\/4218*3\/14?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2403042 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138844, -277683, -416520, -555355, -694188, -833019?\nAnswer: -971848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:57 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -141*c**5\/5 + 5*c**3 + c**2\/2 - 20. Find the third derivative of z(o) wrt o.\nAnswer: -3384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667 = 7*w + 184. Let h be w + (0 - (0 - 0)). Let b = h + -12. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124 - 12\/(-8)*(-8)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 43.6. Let y = -6 - f. Let j = -2.1 + 2. What is the closest to j in -0.2, y, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 + 0*y**2 + 6 - 19 in the form i*y**2 + x*y + g and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 61*p**2 - 169*p - 3. Let r(v) = -v**2 - 3. Suppose 3*m = -162 + 159. Let z(b) = m*r(b) + q(b). What is the second derivative of z(c) wrt c?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 68*d**3 + 102*d**2 - 204. Let m(v) = -2*v**3 + v**2 - 2. Give 102*m(g) - x(g).\nAnswer: -272*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -234684, -234633, -234566, -234483, -234384, -234269?\n\"Answer: 8*o**2 + 27*o - 234719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 13 = 49. Suppose -5*w = p*w - 36. Solve 0 = -4*l + 3*j + 7, 0 = -2*l - w*j + 27 - 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 12:33 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**4\/6 - 2*p**3 + 9*p**2 - 8*p - 14. Let m(v) be the first derivative of w(v). Solve m(r) = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - m + 2. Let q be r(-2). List the prime factors of 17 + q\/((-9)\/3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 0.04 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79037 is divided by 26344.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -19. Let f be 50\/(-30)*i*9. Suppose 4*p + p - f = 0. Calculate the greatest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from {v: 1, a: 2, g: 1, j: 1, y: 1, f: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*v**2 + 37*v**2 + 48*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 5 (c) 0.01 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, -3\/8, 5, 0.2, 18\/23, 0 in increasing order.\nAnswer: -3\/8, 0, 0.2, 18\/23, 1.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1695385 to three decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*n**3 - 2 + 10 + 7*n**3 wrt n?\nAnswer: 51*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**3)**(-2\/3)*m\/(m**(6\/5)\/m*m*m)*m**(-7))**(-27\/4))**(-8) assuming m is positive.\nAnswer: m**(-1854\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73.6, 0, -183\/17, 2\/7.\nAnswer: -183\/17, 0, 2\/7, 73.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*k - 5*d, -2*k - 4*d = -9*d - 33. Let b = 1350448 - -10249561. Suppose -g - 2900003 = -a, k*a + 4*g = 7*g + b. Round a to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*n + 73*n - 403*n + 112*n + 77*n + 76*n - 9*n**2.\nAnswer: -9*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 3*o - 36. Suppose o*h = 2*s + 4*h - 76, 0 = -5*h. Let u = 147 - 137. What is the remainder when s is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12342.4 - 10967. Let a = -1259 + h. Round a to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**5 - 2*b**4 - b**3. Let p(i) = -574*i**5 + 12*i**4 + 6*i**3 - 571*i**2. Let z(h) = p(h) + 6*v(h). Find the third derivative of z(m) wrt m.\nAnswer: -33720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282846 is divided by 285?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**4\/2 - 19*u**3\/6 - 4*u**2 - 89*u. Calculate y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123\/185 - 1\/555. Which is the closest to v? (a) -0.3 (b) 5\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94569, 94559, 94549, 94539, 94529?\nAnswer: 94519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 248904.4 times 0.016\nAnswer: 3982.4704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -6. What is the remainder when 26 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191047.\nAnswer: 191047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-1) + 0 + 70\/30. Sort -3, 2, u in decreasing order.\nAnswer: 2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*o - 3*b, -3*o = -o - 3*b + 9. Suppose r = -o*j - 3*j - 12, 0 = -r - j - 2. Solve r*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 1, c: 1, m: 1, s: 1}. What is prob of picking 1 b, 1 g, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 11*n**2 + n + 11. What is the hundreds digit of k(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54255, 54257, 54259?\nAnswer: 54261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 27*d**2 + d + 29. Give k(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100101111 (base 2) to base 12.\nAnswer: -57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 8*r**2 + 5*r + 3. What is a(6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142595979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o + 50. Let s be j(-10). Let a be (-2)\/(s\/16*(-2)\/(-10)). Solve 2*v + 16 = a*v - 4*m, 3*v + 16 = -2*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570089 is divided by 189968?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 9*k**2 - 11*k + 5. Suppose 2*t + 3*t = -60. Let x = t + 19. Is d(x) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 10*u**2 - 10. Let m be (7 + 279\/(-27))\/(-2 + 10\/6). What is i(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50974243 is divided by 1197.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -162847 and -162834 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1421 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + (sqrt(1008)*-3 - sqrt(1008)) + 3 + -3)**2 + 4*(sqrt(1008) - (2 + ((sqrt(1008) + -1)**2 - sqrt(1008)))).\nAnswer: 192*sqrt(7) + 5028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -59\/38578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*((-1)\/3 - 24\/36). Suppose i*r + 4*l = 3*l + 37, 2*r = -4*l + 22. Let x(t) = 79*t - 32. Is x(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1291\/39943?\nAnswer: -1291\/39943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 311a - 109a?\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*p = 9, -h - 1 = -p - p. Let k = -4 - h. What are the prime factors of 0\/(k - -2) + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261 by 3.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 4*w - 4*w)*(-484 + 484 + 23*w).\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*a - k + 12, -2*k + 14 = 2*a. Suppose 7 + 48 = a*c. Let q be ((-6)\/(-5))\/((-3)\/(-20)). Solve -6*r = -q*r + 2*i + 6, 2*i = 3*r - c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 + 41?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52830, 105695, 158578, 211473, 264374?\nAnswer: 317275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 3. Let d = 384 - 393. Give l(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021584956784 rounded to seven decimal places?\nAnswer: 0.021585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1916, 7656, 17216, 30590, 47772, 68756, 93536, 122106?\n\"Answer: -p**3 + 1916*p**2 - p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 - k - 3. Is o(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 5:09 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*k = 818*k + 185 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96305441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 8.9, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojpewpp. Give prob of picking 1 j and 2 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332591868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 2, -5, -152, -26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -329, -391, -473, -569, -673, -779?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/5936 and 13\/742.\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/24, 121, 211\/4, 3\/7 in ascending order.\nAnswer: 7\/24, 3\/7, 211\/4, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d**(-1)\/d*d*d)))**35*(d**0\/d)**(1\/20)*(d*d**(-4\/7)*d)\/(d**(-2\/7)\/d)*d**(-2\/3)*d**3 assuming d is positive.\nAnswer: d**(-12601\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*4\/48*-2*(-1671 - -1). What is the greatest common factor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 870578, 16, 3, -3, -4 in increasing order.\nAnswer: -4, -3, 3, 16, 870578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27238097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -164 and -0.3?\nAnswer: 49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 779 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 6:55 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11298223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237346 is divided by 556?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 79416.08 millimeters in meters?\nAnswer: 79.41608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.103210242 and 179833?\nAnswer: 179832.896789758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*m - 6, -114 = -m + 4*a - 120. Solve -4*t - f = -2*t - 1, 0 = 2*t + 4*f + m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675845*n + 675841*n - 2027583*n + 675867*n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - -0.5. Let h = d - 2. Let m = 4.6 + h. What is the biggest value in 1\/3, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/1667 + -172601\/166700. Find the common denominator of f and 24\/(-200)*(-495)\/(-12).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 129 = -4*v - 2*q, 2*v - 5*q - 75 = 0. What is the greatest common divisor of 75 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -1 + 24\/(-4). Let b be 4\/(340\/(-116) - i). Suppose 0 = -2*g + 38 + b. 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: Multiply 0.165 and -5.\nAnswer: -0.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -15*t**3 + 2*t**2 - 3*t - 4. Let b be c(-1). Solve 13*r + 15 = b*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -105?\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -189.4146?\nAnswer: 24.623898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (16\/30)\/4*270\/(-162)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 242 (base 7) to base 4\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2106 - 2010. Solve 3*b - q = -29*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -285975 divided by 9\nAnswer: -31775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-247312)\/(-36) - (-1 - (-42)\/54)?\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2 - r**3 + 7*r**2 + 5 + 2*r**3 + 4 + 7*r. What is q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*h - 28 - 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*p + 5*p + 301*p + 318*p to h*p + v and give h.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + (sqrt(170) - sqrt(170)*-1*-6 - sqrt(170) - ((sqrt(170) + sqrt(170)*-1)*-2 - sqrt(170)))\/(sqrt(160) - (sqrt(160) - 3*sqrt(160))*-5).\nAnswer: 5*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -16, -43, -72, -97, -112?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 18*m**2 + m + 14. Calculate q(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23124 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - 12. Let z = f - -194. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13268 and 700?\nAnswer: 2321900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**(1\/4)*(s*s**(1\/5)\/s)\/s**(1\/8))\/(((s\/(s*s**(-6))*s)\/s)\/(s*s**7\/s*s)*(s**1)**(-33)) assuming s is positive.\nAnswer: s**(1613\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**28*s*s**28\/s assuming s is positive.\nAnswer: s**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1559835 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 266*m**2 + 3*m - 1 + 267*m**2 - 3*m + 1406*m**2 in the form j*m**2 + u*m + p and give j.\nAnswer: 1939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 5*x**2 + 5*x - 2. Let v(y) = -y**3 - 7*y**2 - 8*y - 5. What is the smallest common multiple of v(-6) and n(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 161*j - 15. Let a(x) = -5*x. Determine a(u(k)).\nAnswer: 5*k**2 + 805*k + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 923d (base 15) in base 3?\nAnswer: 1120100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 76 + s + s**2 - 76. Let q(y) = -9*y**2 - 222*y - 219*y + 429*y. Calculate -q(m) - 12*z(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*o - 4, -2*i + 0*o - 3*o - 20 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 - 6 = -7*z + 22 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.242229 and 277820.\nAnswer: 277820.242229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 1661*s**4\/2 - 449*s**3 + 9008*s. Find the second derivative of z(c) wrt c.\nAnswer: 19932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c - 68*c + 189 = 0. Suppose 3 - 1 = f. Let a(w) = 9 + w**3 + 2*w**2 - 4*w**f - 5*w**2. Determine a(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - g**2 - g + 1. Calculate the remainder when m(3) is divided by -4 - -1 - (-180)\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 367 - 354 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*-1*sqrt(40))\/(sqrt(405) - (sqrt(405) - sqrt(405)*-1)*-1)*2.\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p - 7. Let f(g) = -g**3 + 11*g**2 - 8*g - 6. Let h be f(10). Is b(h) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -797983, -3191913, -7181801, -12767647?\n\"Answer: -797979*o**2 + 7*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/((-6)\/486*-9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -342 (b) -13.8 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -648 (base 11) in base 5?\nAnswer: -11103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2677\/19740 + 17\/140. Let z = -104\/705 - p. Which is the closest to -1? (a) 4 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 3:58 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*i - 105 = 50*i. Let l(w) be the first derivative of 5*w**2 - 25*w - 2. Is l(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342 and 84226734?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81311?\nAnswer: 17, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020208 to 6 decimal places.\nAnswer: -0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2332*w**2 + 309369*w - 28*w**3 + 33*w**3 + 130990365 + 113394*w + 900372*w + 2123*w**2 = 0.\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-13 + 7 - -19)) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 3:47 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*d - 9, -2*d + t + 36 = 5*t. Suppose d = -3*r + 11. Let g = 2 + -3. What is the second smallest value in g, r, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1530 = 386. Let x = -427 + 475. Calculate the remainder when s is divided by x.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2600)\/(-140) - 19\/1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066 divided by -2?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 661, 5251, 17711, 41977, 81985?\nAnswer: 141671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -3*j + 12, -3*j + 2*h - h = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -7)*1 - 369\/(-41)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, i: 7, o: 2, k: 1}. What is prob of picking 1 i, 1 k, and 1 o?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a factor of 490180105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.7339008 rounded to 1 dp?\nAnswer: 25.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 87263*q + 610833. What is c(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-172.0694\nAnswer: -17.20694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2. Let g be (-620)\/(-1) - (-3 + 0). Let o(c) = -623 + 3*c + g. Calculate s(o(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-30)*((-627)\/(-22))\/19?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*d = -28, -2*n + 4*d + 10 = -5*n. Suppose -3*o = -4*z - 9, 0*o - z = -n*o + 6. Suppose -3*t + o = -27. Which is smaller: 3\/8 or t?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(4\/11))\/a**2 assuming a is positive.\nAnswer: a**(-7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**3 + 4*m**2 + 11*m**3 - m**2 - 27*m**3 as z*m**2 + y*m + u*m**3 + q and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 2:35 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*c - 21 = -6*a, -4*a = 3*c - 25. Let d(h) = -3*h**2 + 64*h + 48. Let q be d(22). What is the highest common factor of q and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, g: 2}. Give prob of sequence zzgz.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -h - 2*h. Let f = -50 + h. What is the highest common divisor of 20 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2.8. Let t = -1 + 1.4. What is the second biggest value in -3, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -5. Let t = -11 + o. Suppose 0 = -5*q + q + 8. Calculate the remainder when q is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -75. Suppose -5*g + 11 = -n. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(-10)*(-228 + 360 + -136).\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 4\/3, 4\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88405.9928 + -88297. Let f = c - 109. Round f to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1792963390 a multiple of 4255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -9 in ascending order.\nAnswer: -9, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-6*t**2 - 5*t**2 + 10*t**2) + 26 - 51 + 553*t**2 + 25.\nAnswer: 552*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3775 + 3773. Which is the fourth smallest value? (a) -1\/4 (b) r (c) -0.09 (d) 2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001645746 rounded to 6 decimal places?\nAnswer: -0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v. Give t(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137001950 is divided by 137001942.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from {g: 1, f: 1, e: 1, l: 1, u: 2, o: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**4\/3 - 4*t**3 - 10*t**2\/3 + 8*t = 0.\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -31. Let n(i) = i**2 + 2*i - 2. Let x = 4 - 6. Let v be n(x). Sort v, l, -1 in descending order.\nAnswer: l, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (0 + 1)) + 3 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9}. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 4 + 35 - 2*u in the form i + w*u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a + 23*a = 7*a + 175461. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.3 + 2.9. Suppose 270 = -9*p + 4*p. Let g = p + 57. What is the third smallest value in g, b, -1.6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/6)\/((-28)\/8) + (-18)\/14.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/108242 and 43\/218.\nAnswer: 11798378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 854208?\nAnswer: 854206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/4 - b**3\/3 - 26*b. What are the prime factors of f(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*(-3)\/(-2))\/(69\/(-230)). Suppose -8*s - 5*d = -7*s - 23, -20 = -w*d. Solve -3*x + s*o = 9, 4*x - 3*o = -x - 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 1\/2*t**4 - 2\/3*t**3 - 2*t - 1\/2*t**2 + 2. Let y be x(2). Solve 0*v = y*v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*z = -100, -z - 27 = b + z. Let q(m) = -m**3 - 16*m**2 + 15*m - 10. Let k be q(b). Let g = -11 + k. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2844.55 rounded to the nearest 10?\nAnswer: -2840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-25) + 22\/30?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 - (4 - 19) - 18\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 923*m - 919*m = 176, -17*l - 10*m + 88 = -8*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11 - (-238)\/56)\/((-33)\/8). What is the second smallest value in 2\/13, t, -2\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 638 - 246?\nAnswer: 3d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16*b + 8. Let f be w(-2). Let g be ((20\/6)\/5)\/((-4)\/f). Solve g*c = 5 + 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 99 - 539 = 0. Is 118\/3 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 4. Let u(l) = -636*l + 1455. Let z(t) = q(t) - u(t). What is the derivative of z(p) wrt p?\nAnswer: 635","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4221.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 14*s**2\/11 - 124*s\/11 - 18\/11 = 0.\nAnswer: -1\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -122\/7 and -672 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 398 - 374 = 0. Let p = 4 - 7. Let f = p + 0. Which is greater: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -9*k - 15\/16*k**2 - 84 + 1\/8*k**3. Let j(y) = 0. Calculate y.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27862?\nAnswer: 2, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4608767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19935*v + 5960*v - 40018*v + 7663*v)*(v - 4*v + v) in the form s + g*v**2 + q*v and give g.\nAnswer: 92660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -23747, 5, -1\/3, 3\/10 in increasing order.\nAnswer: -23747, -1\/3, 3\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/4947 and 38\/181101.\nAnswer: 17566797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.25377 hours to nanoseconds.\nAnswer: 191713572000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)*f*f\/(f\/(f*f**(3\/7)))*(f**(-1\/4)\/f)\/f*f\/f**2)\/(((f*f**(-2\/21)*f)\/f**0)\/(f**(-1))**37) assuming f is positive.\nAnswer: f**(-3841\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-12))\/9*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*o + 6*o**4 - 10*o**4 + 12*o + (2*o**3 - o**3 + o**3)*(4*o - 2*o - 4*o) in the form q*o + l*o**2 + g*o**3 + d + b*o**4 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbsxakbsabybasb. Give prob of sequence asy.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 3*r**2 + 2*r - 1. Calculate b(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3625825310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 0)*(-3 - 237*l - 6 + 235*l)*(-3 - 6 + 10) as h*l + f and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5974 and 309.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169225 = 3*y + 5*r - 823830, 0 = 2*y - 3*r - 436397. What is y rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-4) + 3\/(-4). Let j = 8 + -8. Suppose -5*b - r = -w*r - 22496, j = 4*b + 4*r - 18008. What is b rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 47*i + 1684. What is p(-36)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 183549 - 183572.0662. Round y to 0 decimal places.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 554005 and 29916270.\nAnswer: 29916270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.7. Sort 0.4, 4, y.\nAnswer: 0.4, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 3*g**2 + 3*g**2 - g + 0*g**2. Let h be a(-6). Is h\/7*(-2)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -294*f*s**2 + 2455791*f*s - 102*f - 584550*s**2 wrt s.\nAnswer: -588*f - 1169100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 391188604?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 1593087.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23218 and 2444.\nAnswer: 46436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7371965 is divided by 4567?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1406743 - 738539857\/525. Let y = x + 1\/75. Let f = 0.04 - -3.96. Which is the biggest value? (a) 2 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1. Suppose 0 = 7*d - 2*d - 5. Let t = 0 - d. Suppose 4*c - 2 = 6*c. Let h(b) = -b**2 - 2. What is c*h(q) + t*k(q)?\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -4 + (-114)\/(-1). Let j = x - 67. Suppose -3*r = -4*o + 127 + j, -3*o - 3*r = -150. Calculate the remainder when o is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -9*w + 640. Calculate the remainder when 525\/(-75) - w*-3 is divided by 66.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-29 - -34))*(-10)\/530\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/50 and 6\/35?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 2:43 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**4 + 2*h**3 + 2*h**2 - 2*h + 3. Let q(z) = -3*z**4 + 5*z**3 + 5*z**2 - 5*z + 7. Let o(p) = -5*d(p) + 2*q(p). Differentiate o(k) wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.9 - -0.1. Let d = -123 - -93. Let m = d + 30.3. Is w at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - x**2 - 1 + (2*x - 5*x + x)*(-3*x - 2*x + 4*x) - 2*x + 2*x + 2*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/60 - 5*w**3\/6 - 2*w**2. Let a = 7 - 7. Give c(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.136? (a) 10 (b) -2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/19))**(12\/11)*w\/(w**(-17\/3)*w)*w*w**(-20))**(-6\/11) assuming w is positive.\nAnswer: w**(16864\/2299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -108, -157, -194, -213, -208, -173, -102?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(2\/484*-2). Suppose 2*c - o = -3*c. Suppose 6*p - 7*k = -4*k + 264, -p + 11 = 5*k. What is the remainder when c is divided by p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410 divided by -4?\nAnswer: 205\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 2:07 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*i - 165*i = 118729. List the prime factors of i.\nAnswer: 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2677, 2643, 2565, 2419, 2181, 1827, 1333, 675?\n\"Answer: -4*o**3 + 2*o**2 - 12*o + 2691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23423032411 - -4?\nAnswer: -23423032402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*w - 2139, 337*h + 439 = 338*h + 2*w. What is the remainder when h is divided by 243?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24387 + -24385. Solve -87*c + q = -84*c - 10, b*q = 5*c - 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 682751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 5, -17781734?\nAnswer: -17781734","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2925 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:50 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 66496147 divided by -2\nAnswer: -66496147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + t = -13, -25 = -162*d + 158*d - 3*t. Sort 45, d, -23 in decreasing order.\nAnswer: 45, d, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 + 311. What are the prime factors of (-79)\/(((-21)\/n)\/(1\/3))?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2397912?\nAnswer: 2, 3, 11, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57355920?\nAnswer: 2, 3, 5, 37, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 21106799.46.\nAnswer: 21106803.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*j + 18, 18 = -5*j + 5*n - 4*n. Let c(m) be the second derivative of -m**5\/20 - m**4\/4 + m**3\/3 - m**2 + m. What is the units digit of c(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-2))\/(3\/54). Let i = 166 - 62. Let n = i - t. Is n 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 rifpbbk. Give prob of sequence rp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.29101518 + -1.291. Round u to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7*(5 + (-255)\/35). Suppose -h*c = -10*c - 3384. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2911, -5833, -8747, -11647, -14527, -17381?\n\"Answer: q**3 - 2*q**2 - 2923*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2. Let t(o) = 32 - 61 - 57 - 26 - 742*o. Let m(i) = -33*i - 5. Let v(g) = -112*m(g) + 5*t(g). What is d(v(j))?\nAnswer: 196*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -61. Let f be (18\/m)\/(2\/14). Suppose -135 = 2*l - f*l. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + d + 3385 = 0, 4*d - 1347 = -2*r + 5447. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 6*a**2 + 5*a - 5. Calculate the remainder when 15 is divided by i(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.51811 millilitres to litres.\nAnswer: 0.06151811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 135*h + 131*h + 32 = 0, -23 = 5*l - 4*h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14563 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22653231*v**2 - 19479015*v?\nAnswer: -45306462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750355?\nAnswer: 5, 31, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 314*w - 309. Is g(8) 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 2*b**4 + 820*b**3 + b**2 + 120*b?\nAnswer: 48*b + 4920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1322037 (base 8) to base 12.\nAnswer: -159b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*g**3*x - 12*a**2*g**3 + 459*a**2*g*x - 2*a*g**3*x + a*g**3 + 10*a*g*x + 115*g**3*x wrt a.\nAnswer: -4*g**3*x - 24*g**3 + 918*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -19.61, 311738, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 65.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 8*m**2 + 5*m + 7. Let q be w(6). What are the prime factors of (40\/q)\/(2\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12966 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.933 + 0.067. Let n = 53 - s. Let l = 25.993 - n. Round l to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3098430143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 293 = 3*l, 4*l = -2*w + 6*w - 412. Let j = -52 - l. Is -2\/7 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11191, -43782, -98101, -174148, -271923, -391426, -532657?\n\"Answer: -10864*y**2 + y - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + g - 2*g)*(-337*g**3 + 357*g**3 - 1 - 1) as r*g**4 + m + v*g + c*g**2 + b*g**3 and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 1, i: 3, v: 1}. Give prob of picking 1 f and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*sqrt(1573))**2*1.\nAnswer: -264*sqrt(13) + 25177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from rriicriiirirricirci.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191206 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 10*c**2 + 29*c - 20. Suppose -13 = 4*q + 3*s, 2*s = 5*q + 5 + 17. Calculate the least common multiple of (6\/q)\/(6\/(-64)) and d(6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3178 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/19497 and -87\/351616.\nAnswer: 102320256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 - 8b00?\nAnswer: -8ac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -31\/5, 0.15067?\nAnswer: 0.15067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlllllddddllddlllll. What is prob of picking 2 d and 2 l?\nAnswer: 165\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -215*t**8\/168 + 653*t**5\/60 + 273*t**2. Find the third derivative of o(u) wrt u.\nAnswer: -25800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37434a (base 15) in base 7?\nAnswer: 31332313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66980160 and 23400?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009298534 rounded to 5 dps?\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 210*((-10)\/3 + 0). Let i = f - -716. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d**3 + 434028*d**2 + 781287*d + 347244 = 0. What is d?\nAnswer: -1, -4\/5, 28937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 45 = -5*l, -3*d + 5*l + 11 + 18 = 0. Suppose -3*j = n - 77, -n - 3 + d = 0. Suppose 5*h + 4 = j. Solve 0 = -5*a - 11 - h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11700)\/(-21) - (2 + -5 + 6). Let w = -553 + u. Which is smaller: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/77 and 167\/168?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20981068*c**2*j**2 - 756*c*j**2 - 3920*c*j - j**2 wrt c.\nAnswer: 41962136*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 5*w - 2. Suppose 3*m + 3*h + 36 = 0, -2*m - h - 2 - 21 = 0. Let v(s) = s**2 + 10*s - 6. Let k be v(m). Calculate a(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -22, 2\/15?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111 - 121201?\nAnswer: -112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 - 36*y\/5 + 64\/5.\nAnswer: 2*(y - 16)*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11070 divided by 1845.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b - 108*b + 345 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 + 1925*q**2 + 1930*q = 0. What is q?\nAnswer: -1, 0, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10651289?\nAnswer: 11, 968299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 102, 109, 102, 75, 22, -63?\n\"Answer: -v**3 - v**2 + 17*v + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294592, -294674, -294756, -294838, -294920, -295002?\nAnswer: -295084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 2*k**3\/3 - 1. Suppose 15*g = 18*g - 9. Let a(l) = 3*l**2 + 2*l**2 - g*l**2. What is w(a(f))?\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 31, 80, 167, 304, 503, 776, 1135?\nAnswer: 1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 45*r**2 + 7*r - 2. List the prime factors of h(-46).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1831, -1933, -2035, -2137, -2239, -2341?\nAnswer: -2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/19? (a) 0.4 (b) 3 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Suppose 678*x - 680*x + 562 = 0. Let u = 282 - x. Sort -3, -1, n, u in increasing order.\nAnswer: -3, -1, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 876717, 1753434, 2630151, 3506868, 4383585?\n\"Answer: 876717*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/((-1)\/(-18)). Let i be ((-176)\/55)\/((-22)\/(-55)). Is i at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4327a (base 12) in base 3?\nAnswer: 11111102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 5*f**2 - 12*f - 17. Let o = 44928 + -44921. Give g(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 731371829 to the nearest integer?\nAnswer: 27044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-5\/6)*(f*f**(-1\/4))\/f*f*(f*f\/f**(-9)*f)\/f**15)**11 assuming f is positive.\nAnswer: f**(-55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.917 - -0.917. Which is the closest to 2? (a) 1\/3 (b) x (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z - 1. Let s(k) = k**3 + 8*k**2 - 9*k - 10. Let h be s(-9). Let u be b(h). Solve -2*o = 2*a + 5 - 15, 0 = -5*a - 2*o + u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5 + -1 + -2 + sqrt(153))**2 + 5 + ((1 + sqrt(153))*4 + sqrt(153))**2 + -2).\nAnswer: 660*sqrt(17) + 20005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 13*v**2 - 28*v - 3. Let p be (-5 - (-20)\/4) + 10. Let z be d(p). Which is smaller: 18 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17 + 26 + 41*q + 19 + 10 wrt q.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*s - 195 = 179 - 23. Solve -o - b = -1, -8*o + s*o + 5*b + 35 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2. Suppose 2 = a + 8. Let t(l) = -14*l - 3. Let n be (14\/(-5))\/((-2)\/(-10)). Let d(j) = 27*j + 7. Let o(v) = a*d(v) + n*t(v). Give i(o(p)).\nAnswer: -2312*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-8))\/x)\/x*x\/x**28*x)**(4\/27) assuming x is positive.\nAnswer: x**(-76\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h - 21. Let q(g) = -g - 4. Let z be (1 + 2)*(-4)\/6. What is z*k(a) + 11*q(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1437932 to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + 2*n + 2*n)*(1 + 12 - 41)*(0 - 1 + 0)*(-3 - 1 + 2) to the form q*n + m and give q.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/7, 0.183, -1, -2\/13?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 10*p - 2. Let o be g(-9). Find q such that -26*q**3 - 15*q - 2*q**5 - 23*q**2 - q**2 + o*q - 12*q**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*s**2 - 47*s**2 + 6*s**2 + s**2.\nAnswer: -78*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 - 43. List the prime factors of c.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 0*b**4 + 0*b - 4\/5*b**5 + 3 + 0*b**2 - 4\/3*b**3. Find the third derivative of q(x) wrt x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 37*h**2 + 4*h - 5. Let z(f) = -18*f**2 - 2*f + 3. Let a(u) = -u**3 - 6*u**2 + 19*u + 19. Let w be a(3). Determine w*z(p) - 3*j(p).\nAnswer: -21*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 0.036, 1\/5, 0, -4\/27?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -33*z**2 + 892*z - 74. Determine h(27).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 7*a - 1. Let j be m(7). Let h be ((-18)\/(-2))\/1*j. Is h less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0791643 + -6?\nAnswer: -3.9208357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -4*k**6\/15 + 67*k**3\/6 - 385*k**2\/2 + 7*k + 41. Find the first derivative of o(g) wrt g.\nAnswer: -32*g**3 + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3251 and -0.7?\nAnswer: 0.3749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499140825.\nAnswer: 3, 5, 17, 23, 17021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**9*k*k)**(-46)\/(k**(-20)\/k*k*k\/(k**(1\/12)\/k)) assuming k is positive.\nAnswer: k**(-6407\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/((-4550)\/(-800)) + (2 - 2 - -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 47 = 3*l, -184*l + 98*l = -88*l - 3*t + 12*t + 70 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7137 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6024468 by 39.\nAnswer: -2008156\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q. Let n(r) be the first derivative of -182*r**3\/3 - r - 2631. Give n(o(z)).\nAnswer: -8918*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 2:27 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k. Let z(u) be the first derivative of u**3\/3 - 139*u**2\/2 + 507. Give z(l(g)).\nAnswer: g**2 - 139*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34987\/4 or -291\/89?\nAnswer: -291\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.054 - 0.006. Let j = 5.048 - l. What is the nearest to 5 in 0.5, -4\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4*n - 4, 2 = -5*w - 2*n - 3. Let u(d) be the second derivative of -1\/3*d**3 - 3\/2*d**4 + 0 - 11*d - 1\/2*d**2. What is u(w)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39.9 + 40. Which is smaller: 21 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 6. Let q be d(6). Let l be (-36)\/129*(8 - 1). Let i = -2 - l. Is q greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19\/5 + 4. Let d = 2330 + -2328. What is the nearest to a in d, 0.4, -2, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**3\/2 - 819389*n**2\/2 - 8193799*n\/2 - 7374411\/2 = 0.\nAnswer: -819379, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -5*r - 9 + 22, -r - k + 9 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 608 and 45144.\nAnswer: 180576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 67. What is the units digit of (4\/(-8))\/((-1)\/t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b - 4*i - 8 = 0, -2*b - 4 = i. Let d(p) = -p - 1. Let j(y) = y + 9. Let o(g) = g + 6. Let l(f) = 5*j(f) - 8*o(f). Determine b*l(w) + 4*d(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 - 3*v. Suppose 4*i + 27 = 7. Let r(t) = -5*t**2 + 4*t. Let n(k) = i*r(k) - 6*c(k). What is the second derivative of n(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000882 rounded to 7 decimal places?\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = -4, -5*k - 2*j = -24. Suppose k*w - 8 = 16. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 1 (c) 2\/15 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1.4, -157, 0.3 in decreasing order.\nAnswer: 0.5, 0.3, -1.4, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 322221 (base 4) in base 5?\nAnswer: 110003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7.09 * 3\nAnswer: 21.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 652\/4836 - 3692\/35997.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**4\/4 - 2*v**3 - 1. Let f(u) = -u**3 - 7*u**2. Suppose 10*b - 14 = 8*b. Give b*y(w) - 6*f(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 14. Let a(j) = 4 + 4 + 2*j**3 - j**b + 0*j**3 - 5*j**2 - 9*j. Determine a(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 1\/3*s**2 + 19\/3*s = 0.\nAnswer: -15, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/67 in 4, -4, 2\/25, 0.5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 1) + (18 - 4). Does 2 divide f\/(-4)*(-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 169 and 168 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64422, 64345, 64216, 64035?\nAnswer: 63802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(51)\/sqrt(3) + (sqrt(425))**2 + 4.\nAnswer: 6*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 3 - (-2 + 6 + -23) - 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107442 by 8.\nAnswer: -53721\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1\/((-7)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1516533 or 1516527?\nAnswer: 1516533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20501 (base 6) to base 11.\nAnswer: -20a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -25136*p + 427271. Give h(17).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 205311980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10876474 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.781097 - 0.18?\nAnswer: 184.601097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m = 5*v + 435, -5*v = -4*m + 344. What is the greatest common divisor of m and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 933*56\/132 + 14\/77. What is the greatest common divisor of 88 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -1, -8.\nAnswer: -8, -1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3 - 3. Let q(w) = -2*w**2 + 4*w - 5. Let p(v) = v**2 - 3*v + 4. Calculate o*q(c) - 3*p(c).\nAnswer: c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 - 3*a**2 + 6*a**2 + 2*a + 3*a**3 - 2*a**2 - 3 in the form x*a**4 + b*a**3 + o*a + h*a**2 + l and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 549*w**3 + 14*w - 12. Is o(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -616 divided by 308?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxuukuxxkau. What is prob of sequence axx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3)**(-36)\/(s\/s**10)**(-2\/53) assuming s is positive.\nAnswer: s**(-5742\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 654807?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 12:27 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 253\/3 - (-7)\/(-21). Let q = d + -141. Let m = 99 + q. Calculate the common denominator of m and -1\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182110 plus -5?\nAnswer: -182115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010537 divided by 670179?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265559 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*j*l**4 + 32*j*l**3 - 374*j with respect to l.\nAnswer: 36*j*l**3 + 96*j*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r - 5. Suppose 0 = 4*w + 5*z - 3*z - 16, 2*w = 4*z - 12. Let j be x(w). Let p(q) = 8*q**3 - q**2. Give p(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 3*s + 1. Let v be g(2). Let f = v + -3. Suppose 0*x - x = -5. Solve f = -p - 4*h - 8, -4*p = -x*h + 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b0411b - -5?\nAnswer: -b04116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-3))\/((-2)\/3). Let z be 2*(-2 + (-5)\/a). Let n = 4 + z. What is the second smallest value in n, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**5\/3 + 440*j**4\/3 + 570*j**3 + 2540*j**2\/3 + 1685*j\/3 + 140 = 0.\nAnswer: -84, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/17 + 16*p**3\/17 + 18*p**2\/17.\nAnswer: -2*p**2*(p - 9)*(p + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 920050 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*k**6 - 14*k**5 - k**4 - 7988*k**2 + 1 wrt k.\nAnswer: -6000*k**3 - 840*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575 and 99707990.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*w**3 - 4*w**2 + 4*w**2 + 17*w**3.\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**7\/3360 - i**6\/720 + i**5\/160 - i**3\/3 + 12. Let r(x) be the third derivative of h(x). Find w, given that r(w) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 5*z - 27, -2*p - z + 11 = 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 - 1 = 0. Let f be ((-8)\/(-5))\/(d\/85). What is the greatest common divisor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 1. Let b be y(-3). What are the prime factors of (-38)\/(2 + -2 + b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 + 641.335401798?\nAnswer: 750.335401798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 22930.893us?\nAnswer: 0.0000063696925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -6*r - 158, 0 = -r + 1185*u - 1190*u - 45 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -ce0 (base 15) in base 11?\nAnswer: -2206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-19)*(b\/(b\/(b\/(b*b\/((b*b**(4\/13)*b*b)\/b)))*b*b))\/b*((b*b*b**(-1\/28))\/b)\/b*(b*b\/(b*b\/b**11*b)*b*b)\/b assuming b is positive.\nAnswer: b**(-3541\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277.596 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 3818312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3605845 (base 9) in base 6?\nAnswer: 105505235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Suppose -4*y = -3*y - 5. Solve -f*u + y*u - 9 = -2*p, 5*p - u + 3 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 636314102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 4:28 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -3, -6, -5, 0, -2 in decreasing order.\nAnswer: 0, -2, -3, -5, -6, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 206034 (c) 0.4 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/(-9)*(-1)\/(-10). Let s = q - -1\/30. Which is the closest to s? (a) 0 (b) -1 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**3 - 4218*h**2 + 8427*h - 4212 = 0.\nAnswer: 1, 1404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -33, -4 in increasing order.\nAnswer: -33, -16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-r**2 + 4 - 4) + 3*r**2 + 2*r**2 - 6*r**2 + (232*r - 196*r + 260*r)*(10*r - 9*r + 12*r).\nAnswer: 3845*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uapppurrrrprr. Give prob of picking 1 p and 1 u.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52455165 + 3?\nAnswer: -52455162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -m + 360, -3*m + 566 = 3*o - 8*m. Calculate the highest common factor of o and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43244 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hglbdxbgbghxhbl. Give prob of sequence dh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1012, -3985, -8930, -15847, -24736, -35597, -48430?\nAnswer: -63235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 1 + 2 - 2*t. Let h(l) = -3*l + 5. Let v(x) = h(x) - 5*i(x). Let f(z) = -4*z - 6*z + z + z. Give v(f(y)).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 100\/(-36) + 4 + -1. Let y = 47.2 + -45. Let h = y - 1.2. Which is the fourth biggest value? (a) 5 (b) h (c) 0.3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 9 = 3*t, -2*v - t = 3*t - 12. Sort 1, v, 4 in descending order.\nAnswer: 4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -479.4 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m = s - 3, -1 = m + 3*s. Let i = 13 - m. Let h = 11 - i. Let p(r) = -r**3 + r**2 + 4*r + 1. Calculate p(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585*u + 587*u - 4*m + 24 = 0, 0 = u - 5*m + 36. Solve -3*x = 5*y + 11 - 34, 4*y = u*x + 44 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*m + 3 + 3, -2*m + 2*d = 24. Let n = -2 - m. Let r = n + -1. Is r > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*d = 3*d - 23, 4*h - 5*d = 41. Solve 0 = 4*y + u - 4, 0 = -3*y - h*u + 3 - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 3:46 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.25853ml in litres?\nAnswer: 0.06425853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -27 (b) -0.1 (c) -4 (d) 0.09 (e) -13 (f) -2 (g) 0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.351 times 10\nAnswer: 3.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2. Let j(l) = -3137*l**2. Give j(o(k)).\nAnswer: -3137*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**7\/126 + 11*u**6\/90 + 13*u**5\/20 + 49*u**4\/36 + 10*u**3\/9 + u - 127. Factor t(q).\nAnswer: q*(q + 1)**2*(q + 4)*(q + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -304313, -304321, -304335, -304355, -304381, -304413?\n\"Answer: -3*i**2 + i - 304311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5896*v + 11210*v - 5632*v.\nAnswer: -318*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344146 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1005*t - 3857*t + 1002*t + 848*t + 999*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6592 - -43059. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 9. Let s(u) = 2*u - 19. Let p(o) = 9*m(o) + 4*s(o). Let g be -3*1\/(2 - 3). What is the units digit of p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - 54. Let w = t + 95. Is (201 + w)*(6 - (3 + -2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1195*q**2 + 3167*q**2 - 2509*q**2.\nAnswer: 1853*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 - j**2 - 7*j - 4. Let z be n(4). Suppose 3*y + 4*p = 130, 2*y - 6*y = -2*p - z. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -69\/4, -5144, 4, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3712.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 31. Let i be j(-13). Solve 0 = x + 3*t + 1, -i*x + 8 = -2*t - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + -9)*2\/152*-2. What is the smallest value in c, 3\/11, 1, 3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 189*y**6\/20 + 1231*y**3\/6 + 11*y**2 + 40*y. Differentiate x(r) wrt r.\nAnswer: 3402*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*v - 804849, 5*v + 950350 = -2*r - 391081. Let w be 3\/1 + v\/80. Let h = w - -3356. Find the common denominator of h and -47\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4188247627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2131 = -1999. Suppose -i*m - 5 = -21*m, 5*a + 4*m = -5. Solve 0 = -5*h - a*h + 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 5*u**2 - 4*u**2 + (4*u + 0*u - u)*(-8*u + 17 - 17).\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 1162595?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u = -92 - 142 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Let s(i) = 5*i - 2 + 1 + o*i. Let m(l) = 15*l - 3. Let p(z) = 2*m(z) - 7*s(z). Calculate p(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -10*g + 6*g. Which is bigger: g or -44\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4\/5 - 25734*j**3\/5 + 128736*j**2\/5 - 77274*j\/5 - 231741\/5 = 0. What is j?\nAnswer: -8583, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45\/4 of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p - 1. Let a(m) = 12*m**2 + 14*m - 14. Let n be ((-8)\/12)\/(((-25)\/(-315))\/5). What is n*w(y) + 3*a(y)?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 1909.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -18 + 64 - 69?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:28 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12652781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - -1322200302223?\nAnswer: 1322200302120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 100 - 92, 4*z = 4*q + 8. Solve -4*n + 2\/11*n**5 - 16\/11 + 10\/11*n**z + 2\/11*n**3 - 34\/11*n**2 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/4 - 85*d**4\/12 - 188*d. Factor a(z).\nAnswer: -5*z**2*(z + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 7:05 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5678, -11061, -16444?\nAnswer: -21827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 0.3, -5\/2, -4\/13, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 13*l - 35. Calculate the remainder when o(5) is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 + -134. What is the third derivative of 41*z - 15*z - 15*z - 49*z**i + 2*z**2 wrt z?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 3:01 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2487299770.\nAnswer: 2, 5, 11953, 20809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(26)\/sqrt(2))**2 - (sqrt(130)*3 + sqrt(130))\/sqrt(10).\nAnswer: -4*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 1905.\nAnswer: 13335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 8:28 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 9:02 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -652*s*u**4*x + 28*s*u**3*x + 220*s*u*x - 2*s*u - 2*s*x - u**4 - 21*u**2 wrt u?\nAnswer: -15648*s*u*x + 168*s*x - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753 = -69*p + 75 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41, 0.1, 2\/13, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h**(-6\/13)*h*h))*h)\/h)**26 assuming h is positive.\nAnswer: h**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-448)\/392*(-588)\/(-105)?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8778 - 632 = z + 4*j, -4*z + j = -32499. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-28) - ((2 - 6) + -1)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24767 - 25115.32.\nAnswer: -49882.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 11. Let x = -18498 + 18494. Determine j(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/(-14) - (-1)\/(-7). Let k be (-9)\/(2\/(-14 - d)). Let o be k\/(1 + 0 + 1). What is the greatest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -426, -838, -1238, -1620, -1978, -2306?\nAnswer: -2598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -l + 5*k, 3*k = -4*l + l + 6. Suppose 0 = d - l + 2. What is the remainder when 24 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 18*n**4\/7 - 1670*n**3\/7 + 12156*n**2\/7 - 21696*n\/7 - 5440\/7 = 0.\nAnswer: -2\/9, 4, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -4.\nAnswer: 83\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/(-203))\/(3\/63).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-29))\/z**(-21\/2) assuming z is positive.\nAnswer: z**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 53 = -71. Solve v - 18 = -w + 3*o, 4*w = 3*o + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 + -0.14. Let n = -5.96 - -1.96. Which is the smallest value? (a) u (b) -0.04 (c) n (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-378*i + 291 + 876*i - 501*i)*(-i + 0 + 0).\nAnswer: 3*i**2 - 291*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -365863532 to the nearest 100000.\nAnswer: -365900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10936734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 6*h**2 - 7*h - 1. Let w be l(-5). Let b = -42 + w. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h - 4. What is a(9)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 44?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3531, 3523, 3511, 3495, 3475, 3451?\nAnswer: 3423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 23, 45, 75, 113, 159, 213?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -0.5. Let c = 0.063 + 53.937. Let j = c + -52. What is the smallest value in j, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*b**4 + 80*b**3 - 24*b**2 - 64*b - 16 = 0. Calculate b.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34365 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 32 = 3*p. Suppose 7 - p = j. Let i(r) = r - 4. Let g be i(4). Which is greater: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/60 and (-949)\/(-810) - ((-30)\/125)\/(18\/(-30))?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*v - 2*v - 2*v)*(1 - 4 + 1) + (0 + 5 - 4)*(-v + v + 2*v) - 2*v + 2*v + 3*v)*(0*v + 7*v - 2*v) in the form r*v**2 + u*v + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3454893\/31 - 111465. Let o = q + 13318\/651. Find the common denominator of 63\/8 and o.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2385 = 17717. Is x 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 2298, 8794, 19790, 35424, 55834, 81158?\nAnswer: 111534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 11*v**2 + 5*v + 1. Let c(g) = 12*g**2 + 6*g + 1. Calculate 5*c(l) - 6*j(l).\nAnswer: -6*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*p + 1356 = 2*j, -4*j = p - 1791. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(441\/(-54))*6\/(-21)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9 = -5*m - 1, -3*m + 18 = 5*x. Suppose -2 = -w + 1. Let s = w - m. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5357499 to 2 dps.\nAnswer: -1.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 4*p**3 - 2435*p**2 + 2435*p**2.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -3, 1\/4, 0.03, 0.14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhhnhnhnnnnhnhhnhn.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 36 = 4*m - 0*i, 2*m = i + 28. Let p be (-1)\/((-1)\/m*2). Suppose -l + 6*r = r - 4, 0 = l - 3*r - 4. Are l and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 - 4*o**2 - 4. Let t(l) = 7*l**3 - 8*l**2 - 9. Give 13*a(h) - 6*t(h).\nAnswer: -3*h**3 - 4*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 90*r - 95*r. Let w(u) = u + 6. Let l be w(7). Put r, -3, -5, l in descending order.\nAnswer: l, r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.018452 and 0.5.\nAnswer: -0.009226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -19. Let w(v) = -97 - 92 - 15*v + 6 - 25. Let x be w(-15). Which is smaller: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(6 - (-19)\/(-3)). Suppose -m*v + 33 = -12. Which is the nearest to v? (a) 4 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.18327985 and -3.\nAnswer: -1.81672015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 283*m**2 + 9 - 38 - 14.\nAnswer: -283*m**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 4, 13896.7, 59, 0.1, -0.5?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = i + i - 34, 4*i + 3*s = 40. Suppose 0 = -4*p - 157 + 1213. Suppose 5*q - p = 2*q. What is the remainder when q is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.1 + -0.1. Let r = -3.06 - -0.06. Let k = r + w. Which is the third biggest value? (a) -3 (b) k (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -17*z**4\/4 - 19*z**2\/2 - 117*z. Find the first derivative of l(w) wrt w.\nAnswer: -102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*h**3 + 22*h**3 - 19 - 6 - 120*h**3 + 1 to x*h**2 + i*h + a + q*h**3 and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/12 - 2*h**3\/3 + 3*h**2\/2 + h. Determine t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o + 10. Let s be g(-3). Suppose -s + 3 = d. Factor 0 + 1\/4*n**4 - 1\/4*n**d - 1\/4*n**5 + 0*n + 1\/4*n**3.\nAnswer: -n**2*(n - 1)**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.002 (c) 4\/95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/8*1968\/1230?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 19*j**2 - 8*j + 4. Let d be g(-9). Let v(i) = -60*i**3 + 8*i**2 + 14*i + 9. Is v(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1628437 (base 9) to base 12.\nAnswer: -377907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*p + 6, -n + p + 3*p - 10 = 0. What is the lowest common multiple of n and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28155800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z + 22. Let v be r(-9). Let q be 10\/v*(-4)\/(-20). Which is the second biggest value? (a) 4 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 64344?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h = 780. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6906699523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45860672486 plus -1?\nAnswer: 45860672485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 12*n - 33. Solve -o + g = 8 + 1, 5*o = -n*g - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(245) - sqrt(5)) + 0 - (0 + sqrt(405) - sqrt(405))) + (sqrt(125) - sqrt(125)*-1*-2 - sqrt(125))*4 + 0)**2.\nAnswer: -340*sqrt(5) + 5805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373 (base 14) to base 6.\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26 * -3\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -84200 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - i**2 + i + 105. Let a be q(0). Let s(t) = -t**3 + 5*t**2 - 6*t + 51. Let f be s(5). Calculate the highest common factor of f and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, and 1 t when three letters picked without replacement from iggptqgpigdiptgidpg?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 399 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 95\/252 (b) 0.4 (c) 0.222\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + -25624?\nAnswer: -25661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 7*g - 6. Let q be 8\/(-6 - (-266)\/35). Calculate x(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l. Let c(z) = z**3 - 13*z**2 - 31*z + 14. Let g be c(15). Let d(p) = 0 + 0 - p. Calculate g*f(q) - 6*d(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 35 = -9*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 17950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010897502949 to seven decimal places.\nAnswer: 0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3993662 and 1082.\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11536 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 254183 and 5612.7343.\nAnswer: 259795.7343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(26)\/sqrt(2) + -2)*-6.\nAnswer: -18*sqrt(13) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -71, -113, -157?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48716.8759 - 48378.84. Let q = 338 - j. Round q to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 8*w - 16. Let i be t(9). Let s = i - -679\/4. Let g = -2 + 2.2. Which is the smallest value? (a) s (b) -2\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*q + 132, 0 = -q - 0*q + 2. Suppose -26 + d = 4*i. Let h(z) = z + 1. Let f be h(-1). Put i, f, -2 in increasing order.\nAnswer: -2, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3140)\/(-120) - (-10)\/12. Let y(p) be the first derivative of -w + 5*p**2 - 5\/3*p**3 + 0*p. Let y(j) = 0. What is j?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*q - 3*x - 2*x, 2*q + 5*x = -23. Let o be (-2)\/(-1) + 1 - q*-3. Find the second derivative of 5*p**3 + 11*p**3 + 8*p**3 + o*p - p**3 wrt p.\nAnswer: 138*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41 - -6) + (-210930)\/4503\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -18*342\/309339*(-9)\/(-4)\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 33. Which is bigger: -146 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5944045, 11888005, 17831965, 23775925, 29719885, 35663845?\n\"Answer: 5943960*w + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 12*z + 4*z**2 - 12*z.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 83.96, -16, -0.5, -0.07, 0.4, -0.2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6)*-21*41\/(287\/2040). Is n at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9007)\/9)\/(7\/(-3)). Let g = f + -429. Let n be 0 + 0 - (-1 + 0). Which is bigger: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 7*l - 60. Suppose 5*b - 52 = -2*y - l, -b = 2*y - 25. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23551 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13031 + 33000?\nAnswer: 13303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203200 (base 4) to base 7.\nAnswer: 6424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/32 + 241*n**3\/8 - 5290*n. Factor c(v).\nAnswer: 3*v*(v + 482)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + f + 3)*(2*f - 5*f + 4*f)*(-4 + 3 + 12)*(-3*f + 4*f - 3*f).\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1\/3. Let r = 10.25 - 6.234. Let k = r + -0.016. Which is the closest to -2? (a) z (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4 + 6754*n**3 + 11417625*n**2 + 45562500*n = 0 for n.\nAnswer: -3375, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.86535 micrograms to milligrams.\nAnswer: 0.02286535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s - 2*s**2 - s**3 - 36*s + 13 + 24*s as k*s**2 + i*s + y*s**3 + z and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/33*(-278520)\/(-6752)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1101240*x**2 - 2795*x - 86.\nAnswer: 2202480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nun when three letters picked without replacement from {n: 2, u: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 135954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 5. Let n be g(3). Let q be 18\/n*1\/(-3). Let j(r) be the first derivative of r**2\/2 - 3*r + 1. Give j(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 200\/(-8)*39*(-24)\/(-780).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9338.449l to millilitres.\nAnswer: 9338449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 1404?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 46.1 from 5584239.\nAnswer: 5584192.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iffmffffiqfff.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**2 - 1\/2*g**3 + 0 + g. Calculate the smallest common multiple of 9 and z(-3).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 77 - 17. Let m = x - 4. Let r be (-2)\/1 - (1 - 7). Solve r*k - 2*k = m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -18. Let g be ((-2)\/(-5))\/(n\/(-30)). Suppose 7*o - 401 = g*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*v + 3 = -75*v, -2*i - 3*v = 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 6 - 3*c**2 + 6.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 9*a - 20. Give x(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 22678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*q*z**2 - 33*q*z + 1623*q - 8184347*z**2 wrt q?\nAnswer: -9*z**2 - 33*z + 1623","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - 4*z + 2*z)*(-18*z + 52 - 52) as k*z**2 + r + l*z and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppvpvvpvv. Give prob of sequence pp.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/440*-2*-8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -220*m**2*x + 2182*m**2 + 1026688*m*x wrt m?\nAnswer: -440*x + 4364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z = 39*z + 1. Let l be 7 - (-1 - z) - (-7 - -3). Calculate the greatest common divisor of l and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173832805?\nAnswer: 5, 19, 167, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 4*q - 6*q + 3*q + 49.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0. Let w(f) = -31*f + 127. Let j be w(4). Put h, 0, j in ascending order.\nAnswer: 0, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -35. Suppose 90 = 2*z - u. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 m when four letters picked without replacement from mplalmbbabmmmpam?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -27*t + 5. Let c(k) = k**2 - 3*k - 3. Let z be c(2). Let q(j) = -41*j + 7. Let h(p) = z*q(p) + 7*b(p). Let f(n) = 11*n + 7*n - 20*n. What is f(h(u))?\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(100)*1 - sqrt(100))*4 + sqrt(100) + sqrt(100))\/sqrt(5))**2 - (1 + (1*sqrt(55))\/sqrt(11)*-3*2).\nAnswer: 6*sqrt(5) + 1999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -428008\nAnswer: -1\/214004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -67\/1979 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 12*s**2 - s + 102. Let y be u(-7). Let b = -95 + 206. Let a = y - b. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3317991.\nAnswer: 3, 1105997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76274 is divided by 10896.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -212*h**3 + 1. Let p be b(1). Let m = -106 - p. Suppose 0 = -3*d - 2*d + m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 26 (b) 420 (c) -2 (d) 2 (e) -4 (f) 8\/509\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2*d = -16. Solve 2*o + 4*j = -2*o - 28, -3*j + 7 = -d*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80591350 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from {c: 1, k: 2, b: 1, p: 4, d: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g**(3\/7))**(-6) assuming g is positive.\nAnswer: g**(150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/7 - 80\/(-14). Suppose 3*b = b + f. Let l = 7 - b. What is the remainder when 7 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1540 and 3270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.06 (b) -1\/4 (c) -16\/3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 0*h**3 - 2*h - 5\/4*h**4 - 4 + 0*h**2. What is the derivative of g(m) wrt m?\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238633?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 1953*w + 33510. Give f(17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*t + 2609 + 4422 = -33*t + 1544 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5\/9))**48)**(4\/29) assuming d is positive.\nAnswer: d**(-320\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -956 + 962 = 6*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 55\/(-75) - (-4)\/10. Let r = -2591012\/105 - -24676. Let p = r + -2\/21. What is the third biggest value in c, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686683563?\nAnswer: 3, 79, 269, 10771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 35 - 92)*(-a**3 + 43 + a**2 - a**3 - 36).\nAnswer: 38*a**3 - 19*a**2 - 133","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1179030393 to the nearest integer?\nAnswer: 34337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/60)\/(2\/(-8)). Suppose 3*y + 0*y = 12. Solve l*z = z + y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.6 + 2.6. Let v = c - -13. What is the smallest value in v, 1\/2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**2 - i + 240*i**3 + 2*i + 0*i**2 + 180*i**3 + 21.\nAnswer: 420*i**3 + 11*i**2 + i + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29648.443 plus 8742.8?\nAnswer: -20905.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364 by 13.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 529916 - 356797. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:53 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45354019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {o: 9, z: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3814365*h*u**2 - 2450060*u**2 wrt h.\nAnswer: 3814365*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/4, 3, 0.2, -291699, -0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 29 + 80 = -131 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 27*b**2. Let s(a) = 710310*a**2. Determine s(r(i)).\nAnswer: 517815990*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5 - 358*f**4\/3 - 704*f**3 - 358*f**2\/3 + 4440*f - 2200\/3 = 0. Calculate f.\nAnswer: -22, -5, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -5\/3, -4, -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -13*l + 24. Suppose 3*n + 9 = 2*d, -d + 5*n + l = -0*d. Solve -4*q = d*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 12*f + 21 = 0. Suppose 12*g - f*g - 175 = 0. Let n = 6 + g. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 426\/8 + (-29025)\/12900?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 > 38.46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2236*w - 234 = 2197*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*m = 0, -2*p - 24 = -6*p + 4*m. Let a = 7 - p. Suppose 2*j - 52 = -a*i, 4*i = i - j + 86. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*w = 247*w + 198 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87.99541 - -88. Round o to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b**2 + 9 + 39*b**2 - 8.\nAnswer: 15*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 4*d**2 + d. Let t(a) = a**2 - 2*a. Let v(h) = o(h) + t(h). Let x = -4 - 6. Let w = -7 - x. Calculate v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.86 + -14\nAnswer: -22.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/9 + 602*d\/9 + 42328\/3 = 0.\nAnswer: -143, 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*(2 + -2). Suppose 5*i = -4*d + 17 + 24, u = d + 3*i - 19. Differentiate -s**2 - 5 + 7 - d wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvoo when four letters picked without replacement from {v: 4, o: 10}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - 0 - -8 - (847 - 822))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8862 is divided by 807?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/(4\/(-112)). Let l = -9 - a. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 516624262?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + t - t)*(0*t**2 + 0*t**2 + 2*t**2)*(9 + 5 - 7)*(-5*t + 2*t + t)*(0 + 5 - 1) as y*t + f + h*t**3 + o*t**4 + g*t**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 1:52 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -184*n + 898923 + 945309. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74097.81 hours in minutes?\nAnswer: 4445868.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twelve sevenths of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -0.5 (c) -29 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -5, -0.3, -1.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*d**4 - 35*d.\nAnswer: -912*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 5320?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1.1087.\nAnswer: 0.11087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 1230*c - 2. Let b(p) = -p. Calculate k(b(t)).\nAnswer: t**2 - 1230*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/31? (a) 5 (b) -7 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-21)\/(-8))*(-3)\/(-6)*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-1 + 1 - 0). Suppose -22*m - 21 = -109. Solve 2*y = 3*t + 5, -5 = m*t - 3*y + r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/13, 0.04, -437, -4, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 58. Let d(a) = -a**3 - 3 - 18*a**2 - 18*a**2 + 2*a - y*a**2 + 54*a**2. Calculate d(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 911521046 to the power of 1\/2, to the nearest integer?\nAnswer: 30191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-679)\/(-2037)*2987\/29.\nAnswer: 103\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 5:09 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6*y + 4. Let p be (y + 0)\/((-1)\/5). Let h = 5.70302 - 0.70302. What is the nearest to -2 in h, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.6 (b) -61 (c) 0.7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.04, -4\/9, 0.8.\nAnswer: -4\/9, 0.04, 0.4, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w**4\/7 + 102*w**3\/7 + 27*w**2\/7 - 66*w\/7 = 0. Calculate w.\nAnswer: -11, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.4, -4, -631?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237547645 to the power of 1\/2, to the nearest integer?\nAnswer: 15413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4577521969?\nAnswer: 31, 5503, 26833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**4 - 26347*y**3 + 79047*y**2 - 79049*y + 26350 = 0.\nAnswer: -26350, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = 3*m + 7, 3*m - 9 = 0. Let a = -9 - w. Find the common denominator of 81\/14 and (2\/a)\/(140\/(-2125)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -956*d**2\/7 - 87942*d\/7 + 920\/7 = 0. What is d?\nAnswer: -92, 5\/478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Suppose -2*r - 11 = 5*o, -4 = -3*r - 2*r - 2*o. Let m(n) = -729 + 729 - r*n. Determine 6*j(y) + 5*m(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794738 is divided by 448644.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29\/2, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 631436\/33 - 19133. What is the common denominator of k and -11\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270 is divided by 414.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 1, x: 1, t: 1, w: 2, o: 2}. What is prob of sequence xtp?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52188, 104318, 156448, 208578, 260708, 312838?\nAnswer: 364968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1909 and 2490.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*p**2 - 276*p**2 - 267*p**2 + 1362*p**2 - 268*p**2 - 277*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.005*5.585175.\nAnswer: -0.027925875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350856?\nAnswer: 2, 13, 31, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -44900 divided by -4490?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46469445.\nAnswer: 3, 5, 11, 25603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 42. Let w = 0.7 + t. Let s(m) = -m + 2. Let u be s(5). Which is the nearest to 0? (a) -7 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152414 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*r - 441*r + 19019 = -6733 - 5868 for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3\/8 - 495*z**2\/8 - 4893*z\/4 + 1285 = 0.\nAnswer: -20, 1, 514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a, 6*a - 16 = -4*f + 4*a. Let v = 84 + -34. Suppose f*b = -v + 146. What is the least common multiple of b and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73584 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**4\/4 + s**3\/3 + s**2 + 4*s - 18. What is the smallest common multiple of (-18*(-2)\/9)\/((-1)\/(-8)) and m(-2)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 >= 668\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(4158\/(-27)*4\/48).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9400, -18736, -28072, -37408?\nAnswer: -46744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.976 + -4. Round b to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-8 + (6 + -1 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4774 and 1386?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 120620016 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-1))\/(-2)*-22. What are the prime factors of 4\/k - (-835)\/55?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 7*d**2 - d + 11. Let p be w(7). Let u be -217 + 2*(-6)\/p. What are the prime factors of u\/5*(-2)\/4?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.1 (c) 2 (d) 25\/21 (e) 13.6 (f) 3 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/14552065 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + -19)*(-13 + (-723)\/(-57))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4*t - 98 + 252, 77 = k + 5*t. Solve -141 = 8*n - k for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w = -3*w + 401 - 221 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3649*h**2*v**3 - h**2*v**2 - 6*h**2*v - 6*h**2 + 2*h*v**3 - 75*h*v - 2*v wrt v?\nAnswer: 21894*h**2*v - 2*h**2 + 12*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l + 5*v, 10 = -5*l - 5*v + 3*v. Is (-14)\/(-4)*(-76)\/l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5568211ug in tonnes?\nAnswer: 0.0000000000005568211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -2, 11, 28?\n\"Answer: 2*l**2 + 3*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 422091 and 43811?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -2. Let f = o + 0. What is the units digit of f\/3 - 22\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 52, 152, 304, 514, 788, 1132, 1552?\nAnswer: 2054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -5*b - 2*v + 99446, 0 = v + 4. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-7)\/(-140)*-5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82236289?\nAnswer: 82236289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 266\/35243 or 1?\nAnswer: 266\/35243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 96. Let w(l) = -l - 3. Let m(p) = 1. Let z(x) = c*w(x) - 3*m(x). Let d(g) = -2*g - 33. Determine z(d(y)).\nAnswer: -2*y - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -898727\/420 - -12841\/6. Calculate the common denominator of r and 73\/42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11*v**2 + 3*v. What is x(-2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((2 - 7) + 5)*(-1 + 2). Suppose 3*q + 4*u = h, 5*q - 5*u = -2*u. Solve 5*v + 0*v = q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1767 and 1890165651?\nAnswer: 1890167418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713*u**3 - 117032*u + 0 + 0 - 991*u**3 + 117037*u.\nAnswer: -278*u**3 + 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**3 - v + v)*(v + 1 - 1)*(-4 + 2 - 5) in the form d*v**3 + j + t*v + g*v**2 + c*v**4 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 - (-3 + 5 + -3) is divided by 1\/(1\/14 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 3*q = -10, 5*q = 5*n + 3656260. Let j be (-20)\/14 + 2 - n\/(-175). Let o = -2331 - j. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(220)*-1*2)\/(6*(sqrt(500) + sqrt(500)*-2)*-6).\nAnswer: -sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4 + 3*t**2 - 5*t - 4*t + 6*t + 4*t**3 - 3*t**3. Let d be q(-4). Suppose -2*m + d*m = -190. What are the prime factors of m?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*d**2)*(-d**2 + 3*d**2 - 4*d**2) + 2*d**4 - 3*d + 3*d + 3*d**4 - 2*d**4 + d**4 + 0*d**2 + 0*d**2 - d**4.\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 1140?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 5*q**4 - 2*q**4 + 21 + 1137*q**3 - q - 1135*q**3 as i*q**2 + d + b*q + z*q**3 + p*q**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 2541*m**2 + 130438*m + 1\/14*m**4 + 22*m**3 - 86. Suppose q(b) = 0. What is b?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4 + 775*u**3 - 1525*u**2 - 775*u + 1530 = 0 for u.\nAnswer: -1, 1, 2, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11572 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3954055 a multiple of 1607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3313 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 141644179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(275)*-5 + (sqrt(275) - -5*sqrt(275)*5) + sqrt(275) - ((sqrt(275) + (sqrt(275) - (sqrt(275) + 1 - sqrt(275))) - sqrt(275))*5 + 1)*6)**2.\nAnswer: 1680*sqrt(11) + 14051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(-4*p - 3*p + 6*p)*(-24795 - 3900*p**3 + 24795).\nAnswer: 7800*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41893 or -43339?\nAnswer: -43339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 210111122120?\nAnswer: -210111122113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -38029854.\nAnswer: -1\/12676618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4278, 8495, 12712, 16929?\nAnswer: 21146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 78, 38, -25 in decreasing order.\nAnswer: 78, 38, 0, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 8.7. Let y = s - -0.2999996. Round y to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2480 and 205840?\nAnswer: 205840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2 + 6. Let x(o) = -2*o - 6*o**2 + 28*o**3 - 28 + 4*o - 11*o**3 - 16*o**3. Let y be x(6). Put y, 5, n in ascending order.\nAnswer: y, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1 (b) 0 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 15\/1196 (b) -2 (c) 1 (d) 7 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2, -15, 5 in increasing order.\nAnswer: -15, -4, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1828\/41130 + (-22316)\/(-90) is divided by 2\/(-4)*96\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1814, -3917, -6020, -8123, -10226, -12329?\nAnswer: -14432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121\/2 + -59. Let z = 47\/3 - 335\/21. Let b = -2198 + 2197.9. Sort o, b, z.\nAnswer: z, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 1.2. Suppose 4*p = 4*z + 3 - 11, -2*z + 4 = -3*p. Which is the closest to y? (a) -1 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 390.0797g?\nAnswer: 390079700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 18 = -2*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -45*z + 132. Let w be c(4). Let x = 603 - w. List the prime factors of x.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6327852635 + 5.\nAnswer: 6327852640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 727, 760, 841, 994, 1243, 1612?\n\"Answer: 4*c**3 + 5*c + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -10. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22070, -44183, -66296, -88409, -110522, -132635?\nAnswer: -154748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**3 + 575*b**2 + 1690*b + 1120 = 0. Calculate b.\nAnswer: -112, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233224332 (base 5) to base 11.\nAnswer: 671396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60869531581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -11*d + 21. Suppose 2*i + 21 = u - 372, -d*i - 1173 = -3*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27, -93, -197, -333, -495, -677, -873, -1077?\n\"Answer: x**3 - 25*x**2 + 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-8) + 4\/(-48))*1. Sort -0.3, d, -2\/3 in descending order.\nAnswer: -0.3, d, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssuuusussuuusuuusuu. What is prob of picking 3 s?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4*(sqrt(77)*-1 - sqrt(77)))\/(sqrt(7) + sqrt(112) + -3*sqrt(112) + sqrt(112) + sqrt(112)))*-1*-1.\nAnswer: -5 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 54402.\nAnswer: 1033638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 5 (c) -9.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99652, -99682, -99734, -99808?\nAnswer: -99904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (425\/170)\/(20\/(-16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1141, 2\/5, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*c + 3*a, 5*a - 7 = -c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2918 + -89.36684?\nAnswer: -3007.36684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -18. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*z - 19 = 0, -8 = 2*l - 0*l - 4*z. Let q = l + 1. Let i = -639 + 643. Solve -2*m = q*m + 2*w - i, 2*w - 4 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1520 + -19774\/13. What is the common denominator of 20\/(-14)*28\/18 and t?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 37, -259, -949, -2171?\nAnswer: -4063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3\/7, -4\/69?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = -45. Suppose -h = -7*j + 2*j. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/836 and -51\/22990.\nAnswer: 45980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 7143962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**5\/20 + r**4\/2 - 2*r**3\/3 + 5*r**2\/2 - 4*r. Calculate p(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n - 21*n + n**2 + 247357 - 247259. Determine a(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 7*t - 6*t)*(-2*t**3 + 1 - 1).\nAnswer: -2*t**4 - 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(25*-2)*5770\/4039.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3049 - 4430. Let j = l - -2632. List the prime factors of j.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 + 21 - (29 - (-16 - -5)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z - 11*z + 13*z)*(-z + 3*z + 0*z).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.0342702*0.01\nAnswer: -0.020342702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8601833*c**4 - 7*c*s - 79110*s - 1870 wrt c?\nAnswer: 34407332*c**3 - 7*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c - 3*c + 4*c)*(-c - 9*c - 21*c)*(-19*c + c + 5*c) as l + k*c**2 + d*c**3 + p*c and give d.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 378183 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -42. Is k\/(-6)*9\/4 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m + 5. Let v(o) = -o + 1. Let z(t) = b(t) + 5*v(t). Suppose 20*n = 23*n. Is 5 a factor of z(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -165*m + 78*m + 2*m**3 + 86*m. Suppose -3*a - a = 4. Calculate k(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -15. Suppose q*h = 1 + 4. What is the tens digit of -47*(3 + -4)\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/1232*7*6*8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1073 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/16 - (-20)\/16. Let i(z) = -z**2 - 4*z - 2. Let j be i(-3). What is the greatest common divisor of j and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 14 + 21 - 44 - 10*q + 16. Determine m(7).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y. Let l(g) = 15*g + 25. Determine l(c) + 4*v(c).\nAnswer: 3*c + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8059 + 13039 = 524*z + 4741 - 10891 for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 n, and 2 v when four letters picked without replacement from nnvunnnvnnnnvnunnrun?\nAnswer: 39\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 214566426 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swsszszszw. Give prob of picking 2 w and 1 s.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -4, 5, -21, 3\/5, -543.\nAnswer: -543, -21, -4, 2\/7, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -3\/8 (c) -0.3 (d) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-9))\/(1\/(-15)). Let r = 1499\/172 + -17\/129. Let v = i - r. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406543 less than or equal to 19107476\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**4\/12 + r**3\/6 + 500*r**2. Determine g(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/55132 and -73\/50120.\nAnswer: 551320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -840606887*l**3 + 50976*l**2 - 930*l + 1?\nAnswer: -5043641322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 983758325 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, 47, -4 in increasing order.\nAnswer: -94, -4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124.239650837 + 24.\nAnswer: 148.239650837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*n - 3*n**2 - 2*n**2 - 19*n**5 + 16*n wrt n?\nAnswer: -1140*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165987305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -19. Let f = 0 + l. Let n = -91 + 274\/3. Which is the fourth smallest value? (a) n (b) f (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*b**5 - 2931*b**4 + 62313*b**3 - 152229*b**2 + 129198*b - 36360 = 0. Calculate b.\nAnswer: 2\/3, 1, 20, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4 - 3 = 0, -83 = -155*v + 150*v - 20*t + 53*t + 55*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -72 times -4\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 397.648ns to milliseconds.\nAnswer: 0.000397648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*n - 126*n = -60. Let q = 2 + -3. Put q, n, 4 in descending order.\nAnswer: n, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwwwwqqqqwwwwwwwwwq. Give prob of sequence wqww.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1317343644 to the nearest integer?\nAnswer: 36295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 179431479 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46512 divided by 6.\nAnswer: -7752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -699\/6943 or 17?\nAnswer: -699\/6943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 39241 - 3*n**2 - 39241. Let r(i) = 2*i - 1434. Give w(r(q)).\nAnswer: -12*q**2 + 17208*q - 6169068","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2445391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -124*(4\/(-8) + 0) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/597 and -61\/9154?\nAnswer: 27462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s**2 + 84*s + 1\/3*s**3 + 392\/3 = 0. Calculate s.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1202339503 to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-2*-2)\/sqrt(10) - -4*(-2*sqrt(275))**2.\nAnswer: 4*sqrt(11) + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.5 in -0.5, -41, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -5*z - 6, 1 = -z - 5*k - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 754 and 203?\nAnswer: 5278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 9*g - 14. Let x = 59 - 52. Let b be o(x). Solve 4*v + b*v + 4*w = 0, -12 = -3*w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(180)*-2*4)\/sqrt(12))\/(4*-1*sqrt(432)))**2.\nAnswer: 149\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 0*x**4 + 0*x**2 + 0*x + 79\/3*x**3 - 143 + 0*x**6 + 0*x**5 - 115\/7*x**7. What is the third derivative of q(p) wrt p?\nAnswer: -13800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21004 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -1950.769644.\nAnswer: -1945.769644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -30.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**20\/r*(r*r*(r\/r**(-3)*r*r)\/r*r*r)\/r assuming r is positive.\nAnswer: r**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -n. Let k be (-9 + -3)*(-2)\/n. Suppose -3*j + k*j - 17 = 4*h, 0 = 4*j - 5*h - 10. Solve -j*y + 22 = 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -12. What is the third derivative of -223*y**2 - 3 + 211*y**2 + n + y**3 wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**3 - 1 + 1)*(2 - 17623*l + 8656*l + 1667*l) in the form x*l**4 + r*l**3 + u*l**2 + q*l + z and give x.\nAnswer: 7300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 540 times 114.955\nAnswer: 62075.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {s: 4, u: 1, c: 8, t: 5}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47451.45 nanograms in micrograms?\nAnswer: 47.45145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, m: 6}. Give prob of sequence mm.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6780 bigger than -6780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -27. Let c = -8 - -10. Find g, given that 4*g**4 + 43*g**3 - 38*g**3 + 0*g**5 + g**5 + v*g**c = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*n + 2. Let o(r) be the third derivative of r**4\/12 - 2*r**3\/3 + r**2. What are the prime factors of o(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from pomoyoxmmyoo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-16)\/12 - 2\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -512 - l + 90 - 905 + 222 - 56 to the form h*l + s and give s.\nAnswer: -1161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573797135?\nAnswer: 5, 31, 3701917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x + 2*x + 2*x. Let y be b(-11). Let p = -6 - y. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.962 + 0.038. Let r = 17.6 - x. Let s = r + 3.4. Which is smaller: s or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-23)\/1 + -1 + 4. Let u be ((-2)\/i)\/((-6)\/(-24)). Let s be (-22 + 2)\/(-4) + -3. What is the third smallest value in u, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -460*w**5 - 2*w**4 - 64*w**3 - 10*w**2 - 1226*w + 25.\nAnswer: -27600*w**2 - 48*w - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 + 580. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = s + 81. Let i(c) = 14*c**2 - 12*c + 16. Let g(u) = u**2 - u + 1. What is s*i(d) + 12*g(d)?\nAnswer: -2*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 800992895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19949173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -113*i*y**3 + i*y**2 + 5*i*y - 161*i - 3613*y**3 - 39*y**2 - y - 2 wrt i.\nAnswer: -113*y**3 + y**2 + 5*y - 161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-141)*(23 - 2581\/116)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 6:39 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 5 + r**3 - 8.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 164?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 213, 864, 2197, 4440, 7821, 12568?\n\"Answer: 38*r**3 - r**2 - 66*r + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 324*d. Let g(w) = -w. Calculate t(g(b)).\nAnswer: -b**2 + 324*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1579.61ml?\nAnswer: 1.57961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 528 and 74704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4750635+1.144\nAnswer: 1.6190635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43.32676 millennia?\nAnswer: 43326.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqpauuwpw. Give prob of picking 1 w, 1 q, and 2 p.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + -1. Let z be (-11 - (-52)\/4) + -6. What is the closest to j in 7\/3, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*sqrt(136)*1 - sqrt(136))\/(sqrt(72)\/(sqrt(27)\/sqrt(3))).\nAnswer: 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(((r\/r**(-8))\/r)\/r*r))\/r))\/(r*r**(4\/7)))**(-8\/5) assuming r is positive.\nAnswer: r**(-416\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79532?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43716777 is divided by 432839.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:39 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1962, 0, -1, -0.5, 1\/2 in descending order.\nAnswer: 1\/2, 0, -0.5, -1, -1962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 2:35 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-10 - -3) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 42 = -3*h, 3*g - 1025*h = -1028*h - 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 31*r**2 + 40*r - 73. Let d(g) be the first derivative of -3*g**2\/2 - 2*g - 10. What is the remainder when v(32) is divided by d(-11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18.54, 2\/9, -416, -3\/5 in descending order.\nAnswer: 18.54, 2\/9, -3\/5, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*k**4*u**3 - 873*k**2*u**3 + 3764*u**3 wrt k?\nAnswer: 44*k**3*u**3 - 1746*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(70\/6) + 3401\/133 + -25. Let v = 3 - 0. Which is the closest to 2\/5? (a) f (b) -0.08 (c) v (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6 - 6 = 0. Let u = -8 - -11. Find the first derivative of x - 8*x - g + u*x + 4 wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -11*o**7\/42 - 2*o**3\/3 - 5*o**2\/2 - 3*o. Find the second derivative of m(u) wrt u.\nAnswer: -220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/9 - 264422318*g\/9 + 88140772\/3 = 0.\nAnswer: 1, 132211158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) - -5*sqrt(100)*2)\/(sqrt(120)\/(sqrt(24)\/sqrt(2))))\/(-6*sqrt(128)*1*2).\nAnswer: -11*sqrt(5)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + -28 + 34 - (-2 - -1)) + 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2084\/747 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -175, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/11)*c**(13\/5))\/(c**(1\/12)*c*c**(-5\/3)) assuming c is positive.\nAnswer: c**(1921\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 327*j**2 + 5*j + 25. Let t(k) = 10*k**3 + 1635*k**2 - 26*k - 134. Give 16*f(p) + 3*t(p).\nAnswer: -2*p**3 - 327*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 44 + 0*c**4 + 0*c**3 - 35*c + 2\/5*c**5 + 0*c**2 - 2\/15*c**6. Let x(r) be the first derivative of l(r). Factor x(q).\nAnswer: -4*q**3*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3\/b)\/b*b**(7\/4)\/b)**(-1)*(b**(1\/3)\/b)\/b**(-2\/13)*(b\/(b**(1\/3)\/b)*b)**(-12\/5) assuming b is positive.\nAnswer: b**(-6757\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.1263 - -0.1263. Which is the nearest to 0.09? (a) v (b) 3 (c) 5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657838?\nAnswer: 2, 328919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9925 by 2.\nAnswer: -9925\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5085, 5086, 5087, 5088, 5089?\n\"Answer: c + 5084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 1043 - 112 = 0. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131265 (base 7) to base 15\nAnswer: 73d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**2*u**4 - 2*i**2*u**2 - 320*i**2 - 3*i*u**3 + 1692*u**4 wrt u.\nAnswer: -24*i**2*u - 18*i + 40608*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 15*o + 4*o.\nAnswer: 19*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -4114117?\nAnswer: -2\/4114117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let l be 19*(1 + (3 - 3)). Suppose 4*g - l = -3*x, -2*x + 2*g + 2*g = -26. Solve -x = -3*c - v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 11*o**2 + o + 12*o**2)*(5241*o**3 + 10413797*o - 10413797*o + (1 - 1 - 2*o**2)*(2*o + 3*o - 6*o) - o**3 + o**3 + 2*o**3).\nAnswer: 5245*o**5 + 5245*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(44)\/sqrt(4) + (sqrt(110) - (1*sqrt(110) - sqrt(110)))\/sqrt(10))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/5, 0, 0.6 in increasing order.\nAnswer: -5, -2\/5, 0, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/63 - ((-185)\/20)\/((-18)\/16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 139?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(3\/5))\/((h**(-1\/8)\/h)\/h)*(h**(-2)*h)\/(h\/h**1*h) assuming h is positive.\nAnswer: h**(69\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1155 and 44\/371.\nAnswer: 61215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*a**5 - 10*a**4 - 1892*a**2 wrt a.\nAnswer: -5460*a**2 - 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**5\/60 - 3*n**2 - 21*n. Let p(r) = 24*r**2. Calculate p(z(t)).\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 125762327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6124*b + 6048*b + 5885*b - 18053*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b - 2. Calculate the remainder when b\/(-6)*-1 + 5104\/33 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.475 + 0.34. Let u = 0.035 + a. Is u smaller than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78642*v**2 - 1515*v**3 + v - 78642*v**2.\nAnswer: -1515*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*i - 3*r, r = 5*r. Let z = -2 + 7. What is the first derivative of -3*y**3 - i - 2 - y**3 + z wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2551168 is divided by 383?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from {v: 1, y: 1, t: 1, w: 1, p: 2, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 19 - 6. Let d = j + 0. Suppose -2*w - 13 + 42 = c, d*c = -2*w + 17. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.2432 + 0.0532. Let u = n + 3. What is the second smallest value in 2\/11, u, 0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1062979806?\nAnswer: 1062979806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from thtdbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.78 - 0.78. Which is the third smallest value? (a) -0.11 (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4\/7 (b) -12 (c) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*v + 8. Let z be (-3)\/v - (-6 - 0). Let w = 1.1 + -5.1. Which is the biggest value? (a) z (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -517230 to the nearest ten thousand.\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(1\/8)\/y)\/y*y*y**(-2\/9))\/(y*y**(2\/3))**(12\/13))**(1\/26) assuming y is positive.\nAnswer: y**(-1531\/24336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58287\/20 - 2913. What is the common denominator of -41\/2 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5\/5 - 4*w**4\/5 - 16*w**3\/5 + 106*w**2\/5 - 177*w\/5 + 18 = 0. What is w?\nAnswer: -5, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 3*s + 2. Let m be n(2). Let r be (-10)\/m*20\/(-25). Solve r*p = -4*f - 1 - 9, 3*f = -3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/8*(12 - 14))\/((-171)\/6)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**4 - 20*l**2 - 24*l**2 - 3*l + 4*l**4 + 30*l**3 + 68*l**2 - 23*l**2 as w*l**4 + d*l + t*l**3 + i*l**2 + m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 467.00964 + -467. What is z rounded to four decimal places?\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 1422.\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3146.7 + -3511. Let g = n + 365. Let x = 2 + -2.5. Which is the smallest value? (a) g (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -156*x**3 + x**2 - 4*x + 3. Let c be j(1). Let u = c - -172. Solve 0 = -4*o - u, 5*o = 3*k - 9 - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1341445, 2682887, 4024329?\nAnswer: 5365771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -377 divided by 1\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4))**(-5)\/((p\/(p*p**9)*p*p*p)\/(p*p**(-13)*p)) assuming p is positive.\nAnswer: p**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 - 3*w**2. Suppose 42 = -0*h + 2*h. What is the remainder when h is divided by o(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 12. Solve -6*k + 13*k + n = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.2769897 months?\nAnswer: 0.00023082475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/6*2*3. Let i(k) = 2*k**2 - 7*k - 7. Let f(b) be the first derivative of b**3\/3 - 3*b**2\/2 - 3*b - 8. Calculate w*f(o) - 3*i(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4220 and 108243.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 193 + -81. Let r = -50 + o. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 78759 - (-7 - -2) - -2. Suppose -7*s - o = -6526. What is s rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*f**4 - 230*d*f - 8*f**4 wrt f.\nAnswer: -12*d*f**2 - 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01534 - -387.98466. Which is smaller: -2\/9 or p?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -372.6552 - 0.3448. What is the smallest value in -3, 3, -1\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -84. Suppose 4*f + 2751 = 4*t - 837, o*t - 3*f = 4493. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -0.05, -1, 0.06302?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -139659503 rounded to the nearest one hundred thousand?\nAnswer: -139700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14039 and 1568631.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35927b8 (base 12) in base 8?\nAnswer: 47513374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 1)*(-k + 3*k - k) - 4*k + 4*k - 2*k + k - 6*k + 2*k)*(-3*k + 2*k - 2*k)*(-5*k + 2*k**2 + 5*k).\nAnswer: 42*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331)*-1 + ((sqrt(121)*-2)\/sqrt(11))**2 + sqrt(11).\nAnswer: -10*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4098262, 4098266, 4098272, 4098280, 4098290, 4098302, 4098316?\n\"Answer: u**2 + u + 4098260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4060 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + d)*(4746 + 5016 - 14836 - 4315 - 28429 - 12998).\nAnswer: -101632*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7874.\nAnswer: 2, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41056 is divided by 875.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - -320. Let p = y + -340.223. Round p to 2 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -561, 867, -9, -2 in descending order.\nAnswer: 867, -2, -3, -9, -561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 43096.78 decades?\nAnswer: 430.9678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 - 6*b**3 + 20*b - 20*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64301972207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7558 and 6.\nAnswer: 22674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2002 and -43\/189618.\nAnswer: 1327326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 8*r + 8. Let b be 6\/((-18)\/(-15)) + 2. Let s be q(b). What is the highest common factor of s and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114 is divided by 300?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -32. Let u be 4\/(-2)*(-21)\/6. Let c = u - 4. What is the remainder when a is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*d = -106, 5*z + 4*d + d = 265. Let t = -49 + z. Suppose 0 = 2*g - 4*g + 20. What is the greatest common factor of t and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.055*13\nAnswer: -0.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 466 = -3*x - 440, 4*a - 28 = -4*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1953 - -1?\nAnswer: -1952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 50.38803 millilitres?\nAnswer: 0.05038803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -407550 divided by -165?\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 154, 174, 194, 214, 234?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 4:20 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 14*x**2 + 41*x + 4. Let k be j(-4). Let z(i) = i**3 + 3*i**2 - 2*i + 46. Calculate z(k).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216678 and 17688.\nAnswer: 866712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 86. Differentiate 16*x**4 + 2*x**3 - 65 - 14 - x**s + 9 wrt x.\nAnswer: 60*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*j - 216 = 0, 2*c - 2*j - 469 = -259. What is the remainder when 2216 is divided by c?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/4*1 - -2. Let g(x) = x**3 - x**2 + x + 4. Calculate g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**4 - 75*v**3 + 3*v**4 + 0*v**2 - 2*v**4 + 140*v + 60*v**2 = 0.\nAnswer: -1, 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2398358 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507771 is divided by 59.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 43, 0.5, -5, 9\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46443631499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 758434485 to the power of 1\/2, to the nearest integer?\nAnswer: 27540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -20. Let i(p) = -2*p - 10. Let z be i(q). Suppose v + v - 58 = z. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -401, 130, 3, -1, 5 in decreasing order.\nAnswer: 130, 5, 3, -1, -2, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -5 - (21 + 13 + (-27 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66735 divided by -5.\nAnswer: -13347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*((f + 0*f - 2*f)*(-1 + 2 + 0) - 4*f + 2*f + 4*f)*(-36*f - 49*f - 2*f).\nAnswer: 174*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2728)\/8866*1\/10.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 2 (c) 0.5 (d) -0.325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 134, 81, 8, -91, -222?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 - (9 + -23) - 5) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -16*g - 6. Let d(a) = 5*a. What is z(d(b))?\nAnswer: -80*b - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220210 and 306830.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*l = 8, 5 = 3*m + 4*l - 5. Suppose 13 + 1 = m*n. Calculate the remainder when 19 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 82, 70, 44, -2, -74, -178, -320, -506?\n\"Answer: -c**3 - c**2 - 2*c + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 262593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12297285 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-8)*2\/(-1). Let q(f) = w + 0 + f - 7. Let l(n) = 12*n**2. Determine q(l(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from {v: 3, l: 7, d: 1, b: 2, u: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2*24\/48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 15. Is h < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4028772 less than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-27)*(-3)\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6304787624 to 4 dps.\nAnswer: -0.6305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-2)\/(-16)) - (5 + -2). Let s(j) = j + 4. Let p be s(-4). Suppose -x*o - 923 = -2*r - 224, p = 4*r - 2*o - 1358. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 422\/7 - 241\/4. Which is the smallest value? (a) 4 (b) n (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.5 - -0.5. Let d = -10637 - -10637. What is the closest to d in 5, l, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.998 - -0.402. Let g = 6.7 + 29.3. Let b = g - t. Round b to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3 - (-88)\/(-32)). Suppose 2*l + 4*n = 9 + 3, -l - 15 = -5*n. Solve l = r*x - 0*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 6*q = -40. Let g(h) = -h**3 + 4*h**2 + 3*h - 14. Let p be g(q). Is 8665\/(-20)*(p + 4)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -293, -819, -1665, -2801, -4197, -5823?\n\"Answer: 5*s**3 - 190*s**2 + 9*s - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4 - 19*j**3 + 20*j**2 = 0.\nAnswer: -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38925227?\nAnswer: 11, 97, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350939, -701744, -1052557, -1403384, -1754231, -2105104?\nAnswer: -2456009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*u - 9. Let r(m) = 4*m - 2. Let v be r(4). Suppose x - v = -3*s, -u*x = -4*x + s + 6. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/15)\/(6\/(-50)))\/(23\/(21528\/24))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -509.69 to the nearest 10.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-g - 3*g + 2*g) + 0 - g + 0 + 9350*g + 3223*g - 305*g + 1054*g.\nAnswer: 13319*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + 11 - -3) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21789831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42545 + 50?\nAnswer: -42465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156048472 by 5.\nAnswer: -156048472\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1019516*f**4 - 1471612*f wrt f?\nAnswer: -12234192*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 7 = -63*k + 68*k, -3 = k + 2*q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -25.77 times 3\nAnswer: -77.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-33) + 10\/12320*1552?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (29 - 45 - -60)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 107*f - 2185. What is h(-25)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33821?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(1015\/(-35))*78\/3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -4 + sqrt(98) + 1 - ((sqrt(98) - (-2 + sqrt(98)*1)) + (0 + sqrt(98))*4))*-5)**2.\nAnswer: 3150*sqrt(2) + 22275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(119)\/(sqrt(7) + ((sqrt(105)\/sqrt(3) + sqrt(35))\/sqrt(5) - sqrt(7))) - ((sqrt(272) + 0)**2 + -5)) + 1.\nAnswer: -271 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 266\/(-348) + (-1950)\/(-2340) - 166\/(-116)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -486*k - 7. Let r be y(-2). Let g = r - 535. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from fttftrtxfrrntdt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014837728 rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74424.1 milligrams to micrograms.\nAnswer: 74424100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -47*a**2 + 19*a - 3. Let r(h) = -88*h**2 + 35*h - 5. What is -7*f(u) + 4*r(u)?\nAnswer: -23*u**2 + 7*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {b: 1, o: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 594882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 38 = 6*a. Let t = 31 - a. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/49*21\/12*2. Factor -2\/5*i - 4\/5*i**v - i**2 + 0 - 1\/5*i**4.\nAnswer: -i*(i + 1)**2*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 2\/599969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.128461 and -9046?\nAnswer: 9046.128461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1502712 divided by 375678\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7905, -15745, -23523, -31239?\n\"Answer: 31*k**2 - 7933*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 418*f - 139. Let y(z) = -2*z. Determine q(y(u)).\nAnswer: 12*u**2 - 836*u - 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 21958, -0.3?\nAnswer: 21958","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**7\/3780 - o**6\/1080 + o**4\/12 + o. Let n(h) be the third derivative of q(h). Factor n(b).\nAnswer: 2*b*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3092 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10456 divided by -6\nAnswer: -5228\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 153562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 558, -2, 41 in ascending order.\nAnswer: -2, 41, 558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -4*n**3\/3 - 28*n**2 - 196*n - 338. Factor s(p).\nAnswer: -4*(p + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3414576 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/3253 equal to -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = f - 5*u, -3*f + 5*u + 47 = -6*f. Let j = 82339 + -82334. Put -3, f, j, -2 in descending order.\nAnswer: j, -2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120448?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -20*j + 61. Calculate the lowest common multiple of o(3) and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/2 + 33*s**3\/2 + 21*s**2 - 120*s.\nAnswer: 3*s*(s - 2)*(s + 5)*(s + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 31106*l - 31108*l + z, 0 = 3*l - 2*z - 78 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**2 - 362031*f - 724074 = 0.\nAnswer: -2, 120679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869675412?\nAnswer: 2, 3, 197, 367883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-11) + 0*1\/3. Which is the nearest to -1? (a) v (b) -4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.593 + -0.793. What is the smallest value in j, -2\/3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by -12.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -12371970 to the nearest one hundred thousand.\nAnswer: -12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1627860 and 3120.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0294787 to four decimal places.\nAnswer: -0.0295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 5*k**2 - 6*k. Let b be c(-6). Suppose b = 3*n - 6 - 0. Suppose n*h - 12 = -0*h. Calculate the remainder when 23 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxffdxfefpqx. Give prob of picking 1 e, 1 p, and 1 d.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -36 (b) 2\/377 (c) 1\/3 (d) -2\/3 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*c + 2 = -c, 5*l = 4*c - 1. Let v(q) = 140*q**2. Let d be v(l). Suppose -d = -3*u - 2*u. Calculate the remainder when u is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkxfxxkxxzkakxffzkx. Give prob of sequence zza.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/19)\/(t**(-4)\/t))\/(t**(-4\/7)*t**(-4)) assuming t is positive.\nAnswer: t**(1287\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 17*m**2 - 119*m + 1551. Determine o(15).\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*s + 188*s + 85*s + 205*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25b + -1a?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/5*s**4 + 0*s - 19\/5*s**3 + 0*s**2.\nAnswer: s**3*(s - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*t + 97*t - 15 = 0. Which is smaller: 6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.06 + 0.06. Let p = w - -7.7. Let l = -1.96 - 0.04. Sort 4, p, l in increasing order.\nAnswer: l, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 4 - 7. What is the remainder when (1892\/(-129))\/(k*(-2)\/3) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19087*x - 1196208 - 1304189 for x.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*u - 4*g - 367, 71 = u - g. Suppose -96 - u = -5*w. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krr when three letters picked without replacement from rkrrkrrkrkkrrrkkrkk?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x - 66 - 42 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -205 + 117. Let a = -81 - p. Solve -a = -5*f + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 + 2*u + 2. Let v be t(3). Let r(d) = -22*d - 5. Is r(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 13*b**4\/4 - 13*b**2\/2 + 10. Find the second derivative of t(d) wrt d.\nAnswer: 78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4274451820 rounded to the nearest 1000000?\nAnswer: -4274000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*7*2. Let s(z) = -z + 9. Let m be s(g). Which is the biggest value? (a) 1\/2 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*o - 30*o + 738 + 2398 = 0. Solve o*r + 42 = 10*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 8*w + 3*w - 17*w - 21. Let z be d(-9). Suppose 7*m - 10*m = -24. Calculate the highest common factor of z and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-22)*(0 - 1 - -5)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 49961*g**2 - 77*g - 370. Let b be k(-5). Round b to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 29 (b) -1 (c) 0.1 (d) 0.218 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14026 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410460892 to the power of 1\/3, to the nearest integer?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -241 - -502. Let w = o - 155. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206724 by -322.\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + v**2 + 4 - v**2 + 0*v**2 - v**2 + (-28*v**2 - 8*v**2 - 25*v**2)*(1 - 3 + 0) + 5*v - 5*v + 2*v + v**2 to f*v**2 + b*v + c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-99)\/(-6))\/11)\/(6\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 2. Suppose 2*w = 4*w - 4*z + 18, 0 = w + z - l. Solve 4*a + w + 11 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 - 2*n**2 + 3*n + 5. Let s(o) = -o**3 + o**2 - o - 1. Give l(u) + 3*s(u).\nAnswer: -u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (62 + 62 - 120)*(-13*l**2 - 32*l + 8*l**2 + 9*l**2) as z + k*l**2 + g*l and give g.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5 + 67*c**4*p - 2*c**2*p**2 + 5*c*p**2 - 35*c*p wrt c?\nAnswer: -20*c**3 + 804*c**2*p - 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 239, -3\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 + 86 = 9*h. Calculate the least common multiple of 27 and h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q + 20. Let f(t) = -t - 3. Let l be f(-3). List the prime factors of s(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**3 - 13*x**2 - 7*x + 25. What are the prime factors of z(10)?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -309 in -0.2, -1, -0.38, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.7880419 to 2 dps.\nAnswer: 16.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 1. Let f(z) = 9*z + 5. Let t(r) = -11*r + 171. Let g be t(16). Give g*j(k) + f(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 739*w**3 - 3*w**2 + 51*w + 740*w**3 - 22*w + w**4 - 22*w in the form b*w**3 + i*w**2 + j*w**4 + t*w + a and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 7*m - 85. Let d = m - -41. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -400439 or -400440?\nAnswer: -400440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010 - 100?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**4\/8 - 2*s**2 + 20. Let n(x) = 3*x - 4*x + 4*x. Give n(i(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2 + n + 4. Let o be d(4). What is the least common multiple of 7 and o\/(-16)*20\/2?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/6 - -4) + 6\/4. Which is smaller: v or 13\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 g, and 1 n when four letters picked without replacement from mkmngnngk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**5\/2 + 15*j**4\/2 - 27*j**3\/2 + 21*j**2\/2 - 3*j = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-30))\/(2\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/6 and -44\/543?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 4. Let s be (-2)\/(-9) - 16\/72. Let l be -2 + (1 - p) + s. Solve 0 = -l*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 38. What is the units digit of q(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8833 is divided by 2942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -29*z**3 - 3*z**2 - 37*z - 162. Is u(-6) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59580\/22367 <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/52*(0 - -1). Let t = -8 - -5. Let i = t - -6. Which is the biggest value? (a) h (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 36. Suppose -2*b = r, -5*v - b + 45 = -0*b. What is the remainder when 38 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 57. Suppose 5*l - m = -0*d - d, 4*l = -d + 17. Solve -5 = l*x - 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 72*z**2 - z. Suppose -5*s - 3*f - 1 = 0, 2*f + 6 = s + 1. Is n(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43857114 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3603 is divided by 708?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*g - 4*g - 16*g**3 + 395 - 392 wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t - 1. Let c be m(-2). Suppose -6 = -n + 4*n - 4*o, -5*n = 5*o + 10. Let i = n + c. What is the highest common factor of 7 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -187 and -0.053658.\nAnswer: -187.053658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -24?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615 = 111*r + 828 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 8, 10*l - 277 = -5*g - 212 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/9 (b) 70 (c) 3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 288*l**2 - 159*l wrt l.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1356569.1*-50.\nAnswer: -67828455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 228037819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 40 = 8*s - 198. Solve 14*i = 21*i - s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/17)\/(t\/t**(2\/3)))\/(t**(-1)\/t)**(-2\/55)*(t**4\/t*t**(2\/15))\/(t**(2\/3)\/(t*t**(-2\/13)*t*t)) assuming t is positive.\nAnswer: t**(36643\/7293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -55. Suppose -o = -5*v + 2*x, 2*v - 17 - 1 = 4*x. Suppose 4*f = -v*f - 28. What is the nearest to 2 in f, 6\/7, -0.5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-104)\/10)\/(8\/(-20)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j + 20. Let l be v(-5). Solve -z + 3*f + l = 10, -14 = 5*z - 3*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -413211*w - 2399. Let k be f(1). Round k to the nearest 1000.\nAnswer: -416000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53146 = 8205*q - 20699 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.128 times -20153.8?\nAnswer: -2579.6864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*n + 10711 - 37815 = 0 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -147 - 158?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/9, -7322, 0.2, -327\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -10, 3*t - 3*c - 147 = -708. Let w = t + 272. Is w a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 110 + -23034?\nAnswer: -22824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131.9 + 132. What is the fourth smallest value in 4, h, 1\/3, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (72\/27)\/(1690\/15). Let n = -193\/1014 + p. Which is the second smallest value? (a) -0.2 (b) -1\/2 (c) n (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*v - 8, 3*a + v + 242 = 0. Let s(y) = y**2 - 17*y - 5. Let m be s(9). Which is bigger: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24060)\/(-675) - (-16)\/(-36). Let y = x - 2459\/70. What is the biggest value in y, -1\/2, -7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6*3\/2. Let s be z\/3 - (-5)\/3. Let n(u) = -11 + 11 - s*u + 4*u. Let k(m) = 2*m**2. Give n(k(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 + 7 + 2*u**2 + u**2 - 4 + u - 3*u. Let o be v(2). Let g = -4 - -1. Put o, g, 2\/5 in descending order.\nAnswer: 2\/5, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/109170 and 49\/121300.\nAnswer: 1091700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/41*(-14 - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 3*h + 1. Let l be t(-2). Suppose -4*s + 23 = r, -2*r - l*r + 166 = 3*s. What is the remainder when r is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 4, v: 1, t: 4, g: 2, d: 8}. Give prob of picking 1 o and 1 t.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r**5 - 800*r**4 + 148360*r**3 + 8985520*r**2 - 12193788*r + 3060720 = 0. What is r?\nAnswer: -117, -60, 1\/3, 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(-1) - (10 - 9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -13. Let v = -3 + 2. Is (37 - v) + -3 + c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3))**16\/(g**(-1\/6))**7 assuming g is positive.\nAnswer: g**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/3 (b) -46 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.69 - 17.19. Put -0.14, 36, j in decreasing order.\nAnswer: 36, -0.14, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*r + 2*r - r)*(3*r + 2 - r + 0*r).\nAnswer: -52*r**2 - 52*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 6*u + 3. Let h = -6 - 0. Let s be k(h). What is the second derivative of 7*c**5 + 0*c - c + 3*c**2 - s*c**2 wrt c?\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136.75 + 135. Let p = d + 2.25. What is the nearest to -3 in p, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-3)*1*-1. Suppose p + 4 = 3. Let u be 36\/6 - p\/g. Solve u*o - 20 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1178 - 1179.141. What is y rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18 + 10.82. Let f = 14 - n. What is the smallest value in f, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5*y - 5)*(-2*y**4 + 1 - 1 + (y**2 + 3*y - 3*y)*(y**2 + 0*y**2 + y**2) - 5*y**4 + 8*y**4 - 2*y**4).\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13508\/3 + 4501. What is the fourth biggest value in z, 0.05, 3, 0.06?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**3 - 11*k**2. Let r(h) = -h**3 - 2*h**2. Let w be (1 + 5)*2\/2. Let c = 8 - w. Suppose u = -8 - 3. Determine c*f(d) + u*r(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064044377 a multiple of 5247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 7*u**2 + 11*u. Let t(z) = 3 - 5 - 4*z**2 + 2 + 6*z - z**3. Suppose -6*w + 148 = 190. What is w*t(d) + 4*h(d)?\nAnswer: 3*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/5 of a week?\nAnswer: 54432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507334 is divided by 1507283?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(2\/1)*-1. Let c be (0 + v)*(-1)\/2. Let i(s) = -7*s**2 + 94*s + 57. Let a be i(14). Put 5, c, a in decreasing order.\nAnswer: 5, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7268.125mm in micrometers?\nAnswer: 7268125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 53*o**2 - 118*o + 31. Let c be k(-51). Suppose -6*f + 449 = -c. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*(-2 + 18304\/9141). Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-6) + (-1)\/((-1)\/(-8)). Let i be 328 + f + (4 - (2 - -4)). Calculate the highest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, w: 1, j: 9}. What is prob of picking 2 j?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 6, -2, 49840, 4 in increasing order.\nAnswer: -5, -2, 0, 4, 6, 49840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -39. Is -21 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*v = 8, -b = -0*b - 3*v + 2. Let a = 51 + b. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 5*u**2 + 2*u. Let m be s(-3). Let k be 16\/m + (-2)\/(-3). Suppose 4*l + 5*v - 13 = k, -l + 2*l = -4*v - 5. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -29*h**2 + 1\/60*h**5 + 0 + 5\/24*h**4 + 0*h - 7\/6*h**3. Suppose -4 = 2*b + 6. Give r(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 20683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -43, 0.4, 16369 in decreasing order.\nAnswer: 16369, 0.4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 20*o - 120. Suppose o*m - 9*k = -6*k + 1132, 0 = -4*m - 5*k + 876. Which is smaller: m or 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 476 = -323*x + 319*x, -598 = -5*x + 3*f. Calculate the least common multiple of 2349 and x.\nAnswer: 9396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*z - 347*z + 187*z = 7614. Calculate the remainder when z is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsqqbbb. Give prob of picking 1 b, 1 s, and 1 q.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 8*d**2 + 4*d - 6. Let z be o(-7). Let x be 573\/5 - (-6)\/z. Let u = -60 + 106. What is the highest common factor of x and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**2 + 40*q. Let g be m(8). Which is the nearest to g? (a) 2\/9 (b) 0 (c) -4\/5 (d) -2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 6*i + 3*i + (-3 + 4 + 1)*(5*i - i - 3*i) + 31*i + 11*i - 29*i)*(-148 - 554 - 574 + 270) as b*i + q and give b.\nAnswer: -14084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 407?\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11)\/(z\/(z*z**10)*z))\/((z*z**(-1))\/z)**(19\/2) assuming z is positive.\nAnswer: z**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40740 is divided by 1013?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620799435 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6992951?\nAnswer: 7, 139, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/45378?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 21 + 37 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 33*o**3 - 34*o**3 + 2*o + 43 - 2*o**2 - 41. Let r(d) = 4*d + 3. Let k be r(-2). Is 21 a factor of y(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4599.572 litres in millilitres?\nAnswer: 4599572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k + 6. Let i = -2 + 6. Let j(q) = i*q - 7*q + 2 + 4*q. Determine 17*j(x) - 6*o(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2779404887?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 5*m**2 + m - 4. Let z(a) = a**3 + a**2 - 3*a + 2. Let c be z(1). Let o be -2 + c - (3 + 0). What is the units digit of s(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 + 46 = -14*t. What is the remainder when (t*-1)\/(3\/(-12)*4) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5052 and 37.57?\nAnswer: 38.0752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1104)\/((-336)\/7) + -38?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 799*d**3*m*z**3 + 8*d**3*m - 20004*d**3*z**2 - 36*m*z + 38*z**3 wrt m?\nAnswer: 799*d**3*z**3 + 8*d**3 - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 4, 0, -27, 2 in descending order.\nAnswer: 4, 2, 1, 0, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13084352?\nAnswer: 2, 204443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 3) + (-30)\/(-38). Suppose 146 = -2*g + 4*p + 172, 2*g = p + 5. Is g greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 10. Let i = 12.5 + k. Which is the closest to -1? (a) -0.2 (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 + 8*j - 58)*(-2*j + 2*j - j) to the form m + n*j + i*j**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 - -1. What is the closest to -21\/5 in -0.1, -0.02, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/((-2976)\/312))\/(1*2\/(-8)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, 5, -5 in decreasing order.\nAnswer: 5, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -4 - 1\/6*s**4 - 1\/6*s**3 + 1\/2*s**2 - 4*s. Let o(d) be the first derivative of z(d). Determine o(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -11 + 1\/2*q**2 - 11\/12*q**4 + 1\/30*q**6 + 0*q**5 - 14\/3*q**3 + 2*q. Find the second derivative of z(a) wrt a.\nAnswer: 12*a**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2432, -2265, -1824, -1109, -120, 1143, 2680?\nAnswer: 4491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Let z(p) = -3 + 8*p - m*p + 3. Let g be z(2). Solve 0 = -5*w + w - g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -1501?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156456200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and (1 + -361)\/(-1)*30\/75.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 366*q - 45*q - 1284. Let b be 2 + 7 + (-3)\/3. Suppose 0 = 4*l - 4*n - 8, -2*l = l - n - b. Solve -6*v - 9 = -v - q*u, v - l = -4*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrarraa. What is prob of picking 1 r and 1 a?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1879*a + 22569 = -11253 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/11)*n)\/n**(-5) assuming n is positive.\nAnswer: n**(62\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*v - 7*v. Suppose 0 = 3*u - 7 - v. Suppose 76538 - 1838 = u*f. Round f to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - ((sqrt(216) + sqrt(216) + sqrt(216) + sqrt(216)*2)*4 - sqrt(216))) + sqrt(216) - sqrt(216))\/(-6*(sqrt(300)*2 - sqrt(300))).\nAnswer: 9*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/4007784 and -17\/184851.\nAnswer: 276537096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -0.03 (c) -331\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - b + 8 + 56 = 0, 5*d - b + 52 = 0. Let k(j) be the first derivative of -j**3\/3 - 13*j**2\/2 - 15*j + 1. Calculate k(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.029186*0.2\nAnswer: -5.4058372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 134.\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Let y(a) = 6852746*a. Calculate y(i(u)).\nAnswer: -6852746*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49742818 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028448561 to 6 dps.\nAnswer: -0.002845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -5.\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 246 - 131. Let t = -69 + z. Suppose -2*a = -40 - t. What are the prime factors of a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 - 5*d + 2. Let y(m) = m**3 - m. Calculate l(g) - 2*y(g).\nAnswer: g**3 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z + 2 = 0. Let o(a) = a**2 - a - 1. Let w be o(z). Suppose 0 = -r + 4*h - 18, w*r - 6 + 32 = 4*h. Let j(x) = 2*x**2 + x - 2. Give j(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 23*w**2 - 8*w**2 - 14*w**2. Let r(n) = -11*n. Determine r(l(s)).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 865 = 8*f - 335. What is the remainder when f is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 908\/13. Let g = 9 + -13. Let y = g - -4.3. Which is the closest to 1\/4? (a) -0.3 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 83525961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a kilometer in meters?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_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: Sort -2, 4, -1, -3331 in decreasing order.\nAnswer: 4, -1, -2, -3331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 18 = -4*c, 2*c - 4*p = -0*p + 16. Let y be ((-16)\/6)\/(2\/(-3)). Put 1, y, c in decreasing order.\nAnswer: y, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 35 = -42. What is the least common multiple of 3407 and l?\nAnswer: 3407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * 35419686.\nAnswer: 495875604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(17) - sqrt(272)) + -1*sqrt(17)*-6)**2 + 5*sqrt(272)*-3.\nAnswer: -60*sqrt(17) + 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 7 + (-6 - -6). Suppose k = 2*n - 112, -q*n - 4*k + 262 = -18. What are the prime factors of (n\/(-42))\/(2\/(-15))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161931 by 53977.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.39 - -0.49. Suppose 10*g = 3*g. What is the closest to -0.2 in g, 0.5, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1309 = -73*r + 370. Solve -3*m - 13 = 2*l - 8*m, -r = 5*l - 3*m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 3*u - k, -2*u + 4*u = -2*k + 88. Let b = u - -13. List the prime factors of b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (248 - 66 - 48)*(-15*z**2 - 19 + 19).\nAnswer: -2010*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56328, -112939, -169550, -226161, -282772, -339383?\n\"Answer: -56611*g + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 193167*r*u**4 + 357*r*u**2 + r*u + 2*u**3 + 6*u**2 - 23 wrt u?\nAnswer: 4636008*r*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 14602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1aaa0 - 0?\nAnswer: -1aaa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8472 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -7741*m**4\/4 + 32*m**2 + 10*m + 7572. Find the second derivative of w(l) wrt l.\nAnswer: -46446*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 23*z + 50. Let k be p(-9). Let n(d) be the third derivative of 1\/30*d**k + 0 - 1\/3*d**3 + 0*d**4 - 2*d**2 + 0*d. Find w such that n(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*g + 70 = 0, -2*i + 7*i - 3*g = 70. Suppose -f = -i + 25. Let t = f - -14. Solve -2 = -4*h - 3*s + 27, t*h = 5*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 8:43 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 169, 1581?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = 2*s. Suppose -s*d = -z - 35 - 41, -4*d + 4*z + 48 = 0. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604 - 604 - 84*j + 89*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 27 - 15 = 0. Suppose 5*b + l*t - 3323 = -t, 2*b - 3*t - 1343 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/((n\/(n\/(n*n*n*n**(2\/7))))\/n)*n))\/n**8*(n*n**(-5)*n*n)\/n*n**(-1\/15) assuming n is positive.\nAnswer: n**(-922\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 21, -1\/16, -0.01, -28?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7397 - -88645\/12. Let i = -22001\/12774 + 2\/19161. Calculate the common denominator of i and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(200) + sqrt(200))*-1)**2 + 0.\nAnswer: -80*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 127.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-36)*(-12)\/(-8)*(-78)\/(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55267094 divided by 1.\nAnswer: -55267094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99558401?\nAnswer: 71, 1402231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q + 4. Let u(i) = 9*i - 7. Calculate 6*u(a) + 10*z(a).\nAnswer: 14*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0956, -2, 0.0087?\nAnswer: -0.0956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 208 + -205. What is the nearest to d in 10, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-16)\/(-4)*1\/42.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 21*s + 920. Give z(-44).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + -20. Let o = b + 27. Suppose -z + 2*v = v - 20, z - 5*v = 8. Put 3, z, 5, o in descending order.\nAnswer: z, 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(3) + -3.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.21 or 6.8?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9457163?\nAnswer: 23, 37, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3 + 2*x - 12*x + 8 - 9*x**2 - x**3. Suppose 5*n - n = 2*k - 40, 0 = n - 5*k + 28. Let b be m(n). What is b rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72051195?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f + 6. Suppose 4*i - 20 = -0*i. Let w(x) = x. Let r(m) = -7*m + 9. Let q(o) = r(o) + 6*w(o). Let l be q(i). Calculate a(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10969.9*-0.019.\nAnswer: -208.4281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*c**4\/2 + 25389*c**3 + 3999483*c**2\/2 - 33295860*c + 126408600.\nAnswer: 3*(c + 180)**2*(7*c - 51)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28303684.\nAnswer: 2, 7075921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (35\/14 + 7 - 10)*-424 is divided by 56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112602 divided by 1149.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -77 - -52 - (-85 + (1 - -20))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -21*c**3 + 4*c**2 - 2*c + 3. Let u(k) = -22*k**3 + 3*k**2 - 2*k + 2. Let o(f) = -3*u(f) + 2*w(f). What are the prime factors of o(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 634262 and 14462?\nAnswer: 4439834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 0, 5*v = -3*m + 1 + 10. Suppose 0*b - v*s = 4*b + 8, -5*b = 4*s + 5. Suppose 82500 = -b*i + 6*i. What is i rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 6*n - 10*n, -1515 = -3*g - 3*n. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 343\/6, -2\/15, -0.3 in decreasing order.\nAnswer: 343\/6, 3, -2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q. Suppose 4*f + 19 = 5*t, 7*t - 7 = 4*t - 2*f. Let a(b) be the third derivative of 0*b**t - 1\/8*b**4 + 0 + 2*b**2 + 0*b. Determine k(a(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 301379*j**2. Let q(y) = y. Determine c(q(n)).\nAnswer: 301379*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91156.296798 - 352.312398. Let d = u + -90834. Let c = d - -30. Round c to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71170 is divided by 23585?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 0.2 (c) -42481 (d) 4 (e) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132815, -132473, -131553, -129767, -126827, -122445, -116333, -108203?\nAnswer: -97767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -11*j**2 - 93*j - 92. What is x(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 8, 4*x + 3*p = 6*p + 450. Suppose 46*k - 29*k - 1904 = 0. Which is smaller: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*h = -289, -5*u + 4*h - 13 + 1313 = 0. Let p = -1886 + 1828. Let c = p + u. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1733268 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + x = f - 22, -3*f = -3*x - 21. Let t = -3534.2 - -3534.4. What is the third smallest value in t, -1\/4, -4, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4 + 214*o**3 - 5488*o**2 - 5704*o = 0. What is o?\nAnswer: -1, 0, 46, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8613668041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5 = -217. Suppose -3*f = -d - 60. Let w = 413\/8 - f. Find the common denominator of w and -57\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00038979 to six dps.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 8*h + 6. Suppose 3*f = -5*x + 3*x + 69, 0 = 5*f + 3*x - 116. Solve w - f = h*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 + 10 - 21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 13 = -1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1539) + sqrt(1539) + sqrt(1539)*2) + sqrt(1539) + 5 + (sqrt(19) + sqrt(19)*-4 + -3 - (3*sqrt(1539))**2).\nAnswer: -13849 - 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-40)*(l*l**32\/l*l)\/l assuming l is positive.\nAnswer: l**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**2\/2 - 12*n - 491. Determine i(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m - 13 + 0*m - 6*m + 1. What is the remainder when 17 is divided by q(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 266 - 862. List the prime factors of 8\/12*p\/(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1291?\nAnswer: -3873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -6)*(-2 - -1). Let i be 93\/7 + a\/(-21). Suppose y + 3*u - i = 0, 0*y - 4*u = -3*y + 26. Calculate the greatest common factor of y and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 1 + 1 + (1 - 1 + i)*(-1 + i + 1))*(-25*i**2 - 6*i**3 + 25*i**2).\nAnswer: -18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9060, -18235, -27410, -36585, -45760, -54935?\n\"Answer: -9175*y + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-352))\/(204\/2244)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 113 + 110 + 3*m - 223 + 0*m. Let o(n) = 421*n**2 - n. Give g(o(d)).\nAnswer: 1263*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a + 0?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c\/c**(-22\/9)*c))\/c)**(-8)\/(c**(-30))**(-28))**(-4\/5) assuming c is positive.\nAnswer: c**(29248\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) -0.1 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2671a6 - -3d?\nAnswer: 267205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 315619 and 0.2.\nAnswer: 63123.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3002)\/228*6\/4 and 107\/3258.\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*c**3 + 4*c**3 - 5*c**3)*(0*c - 16*c - 9*c) as p*c**3 + u*c + z + g*c**2 + y*c**4 and give y.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:42 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 61*i + 5. Let f be s(0). What is the third smallest value in 4, 1\/3, f, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1949693.\nAnswer: 463, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 5. Suppose -q - 2924 + 2928 = 0. Solve 20 = q*m + d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s*s\/((s*s*s*s**4)\/s))\/s*s)*s**(-8)*s\/s**(-1\/3)*s**(-5) assuming s is positive.\nAnswer: s**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3634025 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**2\/2 + 5*x - 6. Determine f(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/7637 and -35\/9819.\nAnswer: 68733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008208 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 264 + -141. Suppose 135 - z = -2*t. Let v(h) = -h + 9. What is the tens digit of v(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -31, 3\/2, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 3)\/(-2*(-12)\/20704800). What is b rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -1\/106, 2, -37.5, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8695569 to the nearest 10000.\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -565d (base 15) to base 9.\nAnswer: -27107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 252499?\nAnswer: -252496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 652*k - 656*k. Is k > 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 0*t + t + 2*t**2)*(112*t - 8*t - 49*t).\nAnswer: -55*t**3 + 55*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + -0.6. Let u = s - 0.6. Let h(a) = -a + 9. Let o be h(4). Put u, -1, o in decreasing order.\nAnswer: o, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 4 - (1 - -15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**6\/480 - 209*o**5\/120 - 43681*o**4\/96 + 69*o**2 - 2. Factor t(n).\nAnswer: -n*(n + 209)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*h - 10, -h = 2*l + 6 + 4. Let v = 8 + h. Let y = 531 + -520. Calculate the remainder when y is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0602 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = -16*q + 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqxqsuuqh. Give prob of sequence qqxs.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -40\/52999 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101661424 (base 7) to base 12.\nAnswer: 2013267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(72)) + 5)*5.\nAnswer: 50 + 150*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0711 + -616.9289. Let k = w - -620. What is the nearest to 0.1 in 2, k, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37126 is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635 - (-2 + -4 + 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/57 + 7\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 + -1.6. Let b = m - 2. Let k(q) = -8*q + 306. Let s be k(38). Put s, 0.5, b in increasing order.\nAnswer: b, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 7*l - 1. Let v be c(4). Let u be (6\/12)\/(v\/(-2) + 2). Put -0.6, 4, u in increasing order.\nAnswer: -0.6, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t**3 + 5*t**2 + 5*t + 5. Let j(b) = b**3 + b**2 + b + 1. What is 20*j(n) - 4*u(n)?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jssqjqsns. What is prob of sequence qsnj?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 9*c**7\/14 + c**4\/3 + c. What is the third derivative of u(g) wrt g?\nAnswer: 1620*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.42 - -0.02. Sort 4, p, -10\/3 in ascending order.\nAnswer: -10\/3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + (sqrt(16) - sqrt(48)\/sqrt(3)))\/(sqrt(18)\/(sqrt(36)\/sqrt(4))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 1:48 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-27)\/180) - 7. Which is the nearest to -0.1? (a) 0 (b) p (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006633 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 3*u - 12. Suppose 8 = 3*f - 5*h, 3*f - 26 = -2*h - 2*h. Give s(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 6*h. Let t be q(-5). Let f(r) = r**2 - 14*r + 6. Let w be f(12). Let d = w + 18. Solve d = a + 2*m - 6*m + 11, 16 = a + t*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-150))\/((-4)\/(-40)*-3)*215\/(-86)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2539866 divided by -5194?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lklglgeala. Give prob of picking 2 a and 1 g.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -81*w. Let a(o) = 5*o**2 + 2*o. Let h(y) = -16*y**2 - 7*y. Let t(n) = -7*a(n) - 2*h(n). Give t(r(s)).\nAnswer: -19683*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197\/1027 - 3\/79. Suppose 0 = 5*s + 4*c - 22, c + 0 - 3 = 0. Let r be -3 + 2 + 11\/9. What is the nearest to 0 in r, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 9*y**2 - 10*y + 8. Let f = -244 + 252. Determine g(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.96 - -0.04. Let w be 1\/3 - (-10)\/(-66). Suppose 4 = -11*t + 7*t. What is the smallest value in c, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 0*g**2 - 1\/21*g**7 + 0*g**5 + 0*g**6 + 6*g + 0 + 0*g**3 + 7\/6*g**4. What is the third derivative of a(b) wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-28 + 12 + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5420.5137 to zero dps.\nAnswer: 5421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4, -1, 251?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -i + 2*i - 467, 4*d - 470 = -2*i. Suppose -4*q = -d - 80. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/2 and 42\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23709279*a + 28934115?\nAnswer: 23709279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134*q**2*w - 16323*q**2*z - 2*q**2 - 8*q*w*z - 4*w**4 wrt w.\nAnswer: 134*q**2 - 8*q*z - 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66629 + 216138. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20*20\/(-2000)*0)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/6510105 and -23\/6.\nAnswer: 13020210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29194 is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (87 - -56) + -41 + -59?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -4) + -3 + 3*-9. Let g = u - -29. Let d(j) = j**2 - 6*j + 34. Does 6 divide d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -49 - 279*a - a**3 - a**2 + 2*a**2 + 278*a. Find the second derivative of i(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 8:42 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -758, -1708, -3038, -4748, -6838, -9308?\nAnswer: -12158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 9:14 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 2*g + 3*g + (-5 + 5 + g)*(3 + 0 - 5))*(4 - 3 + 3) + (g + 0 + 0)*(-3 + 0 + 0) in the form m + b*g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*u - 128 = u, 3*w - 103 = u. Let t = w + -27. Solve 0 = -5*k - t*g + g + 10, -5*g = -2*k - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + (3 - -2 - -36)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - -8939.340667687.\nAnswer: 8939.940667687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2598229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 1\/6*s**4 + 0*s**2 - s + 0 + 0*s**3. Let m(r) be the second derivative of -5*r**3\/6 - 7*r. Give m(n(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17137 (base 13) to base 4.\nAnswer: -22301323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130 - 25143?\nAnswer: -25013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -282 + -108. Let g = 31172\/11 - 2836. Calculate the common denominator of g and w\/(-42)*(-7)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/264 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.153 - 2.153. Sort 0.3, b, 1\/6, -8\/9 in decreasing order.\nAnswer: 0.3, 1\/6, -8\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -1\/180*d**5 + 0 + 0*d - 1\/9*d**3 - 4*d**2 - 1\/24*d**4. Factor f(s).\nAnswer: -(s + 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6497191627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1044 divide 39679814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -349485 - -20186.\nAnswer: -329299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22441 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00854 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -437213 divided by -1179.\nAnswer: 437213\/1179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 761, 807, 851, 893?\n\"Answer: -u**2 + 49*u + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + 5. Suppose -3*j + 2*a = -0*a - 48, -5*j - 3*a + 61 = 0. What is the remainder when l is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6356 is divided by 1057?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 9 (c) 2\/1381 (d) 0.5 (e) -18 (f) 2\/3 (g) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 89.04196.\nAnswer: -89.34196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 7595*r - 22830.\nAnswer: 5*(r - 3)*(r + 1522)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -91 (b) 2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1)*0\/(-2). Let n = 103\/3 - 727\/21. Which is the nearest to 2\/5? (a) r (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + 438?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 9) to base 8.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185*o**4 + 4*o**3 - 2602*o**2.\nAnswer: -4440*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(132) + 2*sqrt(132))*-1 - sqrt(132))*5)\/(3*6*(-6*sqrt(12)*-4 + sqrt(12))).\nAnswer: 2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/15)\/(x\/(x*x**(1\/2)*x)))**(19\/2))**(-1\/32))**(-31) assuming x is positive.\nAnswer: x**(24149\/1920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -8*r + 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - 0.2. What is the nearest to 1 in -3\/2, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108\/(-45))\/(-2 + (-16)\/(-10))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*i - 18 = 60*i. Let n be ((-20)\/(-130)*13)\/((-1)\/i). Solve -4*t + 3*y + n = 5, 0 = 3*t + 5*y - 21 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 29. Let s be h\/(-35) - (-18)\/14. Which is greater: 1\/4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3 + 23. Suppose -m = c - 4*c - 22, -m - b*c = -22. Solve -5*n - m = -2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**21*m*m*m**(-3)*(((m\/(m**(2\/7)*m*m)*m*m)\/m)\/m)**(4\/9) assuming m is positive.\nAnswer: m**(143\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1461*a + 260060. Calculate b(178).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*c = -9*c - 41, -4*s - 4*c = 4. Let r(j) = j**3 + 3*j**2 - 2*j + 9. Let v be r(-4). Sort s, v, 2, -1 in decreasing order.\nAnswer: s, 2, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 7 = 4*n, 0 = -n + 3*n - 3*k - 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 b when three letters picked without replacement from dbbbbbbbbbbnbb.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6f4 (base 16) to base 15.\nAnswer: -7da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-41)*i)\/i)\/i**45 assuming i is positive.\nAnswer: i**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 218579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75799397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 18. Let x(a) = 24*a**2 + 24*a**2 + a**3 + 25*a**2 - 67*a**2 - 1 + 6*a. Calculate x(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216414 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28 + 861?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, -2\/3, -46751.\nAnswer: -46751, -2\/3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 5*v - v)*(-v**3 + v**3 - v**3) - v**4 - 2*v**4 + 2*v**4.\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427089 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 1\/3*m**3 - 4*m**2 - 1\/240*m**6 + 0*m + 0 + 1\/24*m**5 - 1\/6*m**4. Factor p(z).\nAnswer: -(z - 2)**2*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001001000010000 (base 2) to base 16.\nAnswer: 31210","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 18, -0.5, 2\/5, 0.1, 57594?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2 = -2*t - 0, 3*t = -3. Suppose 0 = -m + 3*v + 43 + 4, d = -3*m + 4*v + 116. Let o = m - 16. Solve 4 = 3*c + o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5156 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(103\/8 + (0 - 8\/(-64))).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 209885, 14, 0, 3 in descending order.\nAnswer: 209885, 14, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 - 249\/2. Find the common denominator of q and (-2)\/(-21) - 1203\/(-1260).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 31, -0.5, 0.4, -5, 231?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x**(-2)\/x)\/x*x))\/x*x\/x**(-3)*x*x*x\/x**4*(x\/(x\/((x**(-2)*x)\/x)))\/x*(x**6*x**(-2\/11))\/(x**(-4\/3)\/(x**2\/x)) assuming x is positive.\nAnswer: x**(335\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-3*i**3 + 2*i**3 - i**3)*(0*i + 2*i + i).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-58)\/2*(1 + -2). Let o = x + -27. Suppose o*c - 75 = 33. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -381, -571, -761?\nAnswer: -951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 338355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 112*s**6\/15 + s**4\/12 + 449*s**2 - 63*s. Differentiate q(w) with respect to w.\nAnswer: 896*w**3 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:44 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001 (base 2) in base 12?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 37. Let k be u(17). Let i = 3 + k. Suppose i = q + 3*q. Solve -3*j + 4*j - 3 = q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*n + 3*g - 423, -3*n + 256 = -g. What is the remainder when n is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 10*w**2 + 7. Let g be l(4). Let d = g - -27. Suppose 4*o - 24 = -d*u - 4, 0 = -2*u. Solve b - 10 + o = -2*q, 4*b = -2*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 4:33 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9835837 or 9835835?\nAnswer: 9835835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - s**2 + s + 5. What is z(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -101494, -202991, -304488, -405985, -507482?\n\"Answer: -101497*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -32?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22112123 + 20?\nAnswer: 22112203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -288\/17 - 192\/17*m**2 - 24\/17*m**3 - 416\/17*m + 2\/17*m**4 = 0.\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 130?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 683974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -577190\nAnswer: 2885950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5 - 30396*m**4 + 182424*m**3 - 364880*m**2 + 243264*m.\nAnswer: -2*m*(m - 2)**3*(m + 15204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/9 + 604*w**2\/9 - 4150*w\/9 + 5900\/9.\nAnswer: -2*(w - 295)*(w - 5)*(w - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 24 = 4*g. Solve g*d + 5*b = -d - 10, -5*b = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -3*s + 67. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (-16 - (-79 - -32))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*w = -15, -7*w - 14 = -4*k - 9*w. List the prime factors of ((-27)\/135)\/(k\/(-155)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1014, 2182, 5350, 11520, 21694, 36874?\n\"Answer: 167*f**3 - 2*f**2 + 5*f + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - g**2 + 16 + g - 10 + (g**2 + 6*g**2 + 0*g**2)*(1 + 1 + 6).\nAnswer: 55*g**2 + g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7650)\/(-405))\/((-4)\/(-18)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.11383103477 and 0.\nAnswer: -0.11383103477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -36. Suppose -p - 2*p - 1 = -2*o, u = 5*o - 3*p. What is the second derivative of -2*k + o*k**3 + 0*k - 4*k**3 - k wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 66, -0.1, -1, 5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 2*m - 5*p, 2*m = -3*p + 70 + 15. Suppose 4*y - 23 = -d, m = d + 5*y + 13. Solve -d*a = -2*a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a68 - -2b?\nAnswer: a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f. Let z be -2 - (8\/4 - 19). Suppose 5*y + z = 45. Let s(p) = -9*p. Calculate y*s(m) - 11*r(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182127.\nAnswer: 3, 11, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*q**3 + 806472*q**2 - 77426339*q - 551118 = 0. Calculate q.\nAnswer: -2963, -2\/281, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = -0*u. Let o = 0 + u. Suppose 0*m + o*s = 4*m - 26, 5*m = 2*s + 24. Calculate the lowest common multiple of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81973 - -1476809\/18. Let r = i + -72. Sort 3, 0.5, 1, r in ascending order.\nAnswer: r, 0.5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - (-3)\/((-4)\/(-4)). Let q(w) = w**3 + 5*w**2 - w + 5. Let c be q(j). Calculate the remainder when 532\/10 + (-5)\/c is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024488654 to 6 decimal places.\nAnswer: 0.002449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 245.6 * -325.5.\nAnswer: -79942.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/126)\/((-144)\/81).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + -2442b?\nAnswer: -2441a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -155.03 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, c: 9, v: 5, e: 1, y: 1}. What is prob of sequence vy?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*m = 335*m - 40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 10*o**2 - o - 118. Calculate the lowest common multiple of 6382 and u(-8).\nAnswer: 57438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -140 * -8.7808.\nAnswer: 1229.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 198*p**3 + 540*p**2 + 1686*p + 945.\nAnswer: 3*(p - 63)*(p - 5)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2563, 2495, 2429, 2365, 2303, 2243?\nAnswer: 2185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*a**3 + 0)*((-1 + 0 - 1)*(35805 + 33*a - 35805) + a + 0*a - 2*a) + 5 - 3 + 2*a**4 + 1.\nAnswer: -132*a**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 237 - 518. Let y = 138 + s. Let t be (-37)\/(-13) + (-22)\/y. Sort -0.1, t, -0.2.\nAnswer: -0.2, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 5507. Let k(g) = -2*g. What is u(k(o))?\nAnswer: -2*o + 5507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 799, 865, 929, 991?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2060*o + 4052*o - 15766*o**2 + 1545*o + 3880*o + 955*o wrt o?\nAnswer: -31532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 - 36. Let z(b) = -1357*b + 5. Let m(j) = 3801*j - 14. Let w(r) = -5*m(r) - 14*z(r). Calculate w(d(o)).\nAnswer: -28*o**2 + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/17)\/y**8)\/((y*y**9)\/(y\/y**(6\/5))) assuming y is positive.\nAnswer: y**(-1557\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/28*2 - (-207)\/(-378)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 5)*(-17*l - 19*l + 23*l) - 3*l - 2*l + 0*l.\nAnswer: 125*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 144743411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 37*r - 1247 = 4*v, -v + 5090 = 4*r. Calculate the greatest common divisor of 123 and r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 405*w**2 + 2395*w - 27. Determine x(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m + 1. Let d be y(3). Let j(c) = -c**3 + 10*c**2 + 3*c + 10. Is j(d) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6 - 2. Suppose -u + 102 = m + 4*m, 72 = k*m + 4*u. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + 99698?\nAnswer: 99741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 divided by 16?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-6)\/4)\/(3*(-5)\/80) and ((-2)\/(-3))\/((-2)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -840, -3607, -8210, -14643, -22900, -32975, -44862?\n\"Answer: w**3 - 924*w**2 - 2*w + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45\/2 - 21. Let j be 2\/(-10) + (-1)\/(-3). What is the third biggest value in o, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 864 and 672?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**6\/240 + k**5\/60 + k**4\/48 - k**3\/6 - 5*k**2. Solve c(a) = 0 for a.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, f: 1, o: 7, c: 1, l: 3, w: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/7))**30*((c\/c**18)\/c)\/c**(-5) assuming c is positive.\nAnswer: c**(-211\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -27*x**8\/56 - 17*x**4\/4 + 61*x**2. Find the second derivative of c(o) wrt o.\nAnswer: -3240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27750 + 55571 - 27821 + 14*q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9197.\nAnswer: 17, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y**4 + 74*y**3 - 2864*y**2 - 12584*y - 3360 = 0. Calculate y.\nAnswer: -15, -4, -2\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1281263971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 5, 4, -63\/42373?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + n + 6. Let g be y(3). Suppose 192 = 3*x - 7*x. List the prime factors of (g - x) + -6 + 5.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 13. Let f be d(-10). Suppose -130*a + 0*a - 676 = 104. Sort a, f, 1, 5.\nAnswer: a, f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**5\/2 + 6*y**4 - 123*y**3 + 84*y**2 + 3123*y\/2 - 2970 = 0. What is y?\nAnswer: -11, -4, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in 0, -5, 1, 1.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -325c7 + -2?\nAnswer: -325c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 10) in base 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135?\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)\/z)\/z**(-1\/10) assuming z is positive.\nAnswer: z**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 109. Let h(r) = r + 106. What is 5*h(x) - 4*q(x)?\nAnswer: x + 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 191*l**4\/4 + 94*l + 189. Differentiate d(j) with respect to j.\nAnswer: 573*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/75*39*-1. Suppose 0 = -2*o - 5*t + l, -4*t + 38 = 5*o - 5*t. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -246035 (base 8) to base 5.\nAnswer: -10210041","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-6)*(-12)\/10. Is (1216\/(-4))\/(-1) - b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 2:50 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + b**3 - 4*b**3 - 11*b + 11*b - 6*b**3 + (0 - 4 + 2)*(b**3 - 2*b**2 + 2*b**2))*(-6 - 10 + 2).\nAnswer: 126*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.86 and 0.16.\nAnswer: -1.7376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 10:43 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 23*u. Let y(m) = -69*m. Determine 8*p(q) + 3*y(q).\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-1)\/(-6 + 98\/16). Suppose -4*l = -5*r + 80, -5*r = -2*l - 17 - 73. Suppose -j + g*d = 7*d - 48, -4*d + r = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**5 + 12*r**4 + 32*r**3 - 618*r**2 + 833*r + 1470 = 0.\nAnswer: -7, -1, 3, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*f - w, 0 = -3*f - 2*w. Suppose -84 = 3*i + 2*z, -i - z - 28 = -f*i. Let r be (18\/21)\/((-2)\/i). Calculate the highest common factor of r and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -29*r - 54. Let m be i(-7). Let h = m - 37. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -3. Let k(r) = 9*r**2 - 7*r. Let l(m) = -10*m**2 + 8*m. Let d(z) = s*k(z) - 5*l(z). Find the second derivative of d(b) wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {z: 1, a: 1, r: 1, k: 1, q: 2, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 228447a?\nAnswer: -2284475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a**4\/6 + 595*a**3\/3 - 2945*a**2\/6 + 440*a\/3 + 150 = 0. What is a?\nAnswer: -2\/5, 1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + -30 - 66 - -121?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - -1*sqrt(36))*-4 - sqrt(1296)*-1)\/(sqrt(96)\/((sqrt(24)*1)\/sqrt(3))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -2133234?\nAnswer: -2133302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 459, 4, -0.4 in decreasing order.\nAnswer: 459, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*h + 24 = 0, -2*z - 2*h + h = -8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert b66 (base 16) to base 15.\nAnswer: ce8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (354\/(-9))\/((-3)\/18*2). Is 121 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 298 - 306 = 0. Let v be -8*(1 - (-6)\/(-4)). Suppose a*m + v*m = 204. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 19359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -72 (b) -49087 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f = -8. Suppose 5 = -2*l + 7*l, 4*c = f*l + 10. Let t = 353\/5 - 70. What is the smallest value in c, -4\/3, 1\/3, t?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 43739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 10. Let p be (-9)\/27 + (-2)\/12. Let m = 0.53 + 0.17. What is the biggest value in p, m, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -7. What is the closest to -0.1 in 5, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 3:28 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 2*n - 7. Let y(a) = -a**2 + a + 6. Let k(m) = -2*c(m) - 3*y(m). Let o be k(3). Let u = o - -2. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 433 - 257. Solve -10*a - i*a = -42 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/65)\/((-1314)\/8541)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -11*h + 6. Let o be v(4). Find the common denominator of (o\/(-12))\/((-1)\/3) and -71\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose -3*g + u*c = 2*c - 17, -3*c - 16 = -2*g. Suppose 2*d = -g*b + 14, 0 = d + 3 - 5. What is the remainder when b is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + g**2 - g. Let m(r) = -95*r**2 - 7. Let v(a) = -m(a) - 2*z(a). What is the second derivative of v(j) wrt j?\nAnswer: 12*j + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 19?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6392? (a) -4 (b) -57 (c) 2\/13 (d) 2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 1. Suppose 0 = a - 2*a + 6. Let c(h) = -7*h + 5. Determine a*x(i) - c(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 2*a**2 - 77*a + 656. Calculate w(14).\nAnswer: 1930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -27354.\nAnswer: 13677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4557 and 7903.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34874708087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5 + w**2 - 51*w + 102*w + 6*w**2 - 56*w. Let k(z) = 8*z**2 - 6*z + 6. Calculate -5*k(d) + 6*y(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.44473.\nAnswer: 0.133419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 27*o**2 + 114*o + 30*o**2 - 75*o + 127*o + 11 to f + g*o**2 + s*o and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 302, -58, -400, -718, -1006, -1258, -1468?\n\"Answer: v**3 + 3*v**2 - 376*v + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 348\/499201 or 0?\nAnswer: 348\/499201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 10 + y - 3*y. What is the units digit of f(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 493 - 493.4. Let f = 5 + -5.5. What is the closest to 0 in m, f, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**7*k**(-2\/13)*k*(k**(1\/2)\/k)\/k*k**(3\/4) assuming k is positive.\nAnswer: k**(369\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1090 - 1089. Let f(j) be the first derivative of -d + 98\/15*j**3 - 56\/5*j**2 + 32\/5*j. Suppose f(q) = 0. Calculate q.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49891\/3 - 134\/(-201) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007401901 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006962 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62505443 a multiple of 1001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*q - 35, -2*q - 2*q = 4*o + 36. Let g be 12 - (-5)\/(q\/8). Suppose -9*u = -u - g. Do 2\/107 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -133. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 k when four letters picked without replacement from {k: 13, d: 6}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 5*b**7\/84 + 7*b**6\/4 + 41*b**5\/2 + 370*b**4\/3 + 400*b**3 + 640*b**2 - b + 15. Let u(i) = 0. What is i?\nAnswer: -8, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -56, -63, -72, -83, -96?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*v - 4, -5*v + 2*v = 3*y + 3. Suppose -l - 2 + 4 = 0. Let w(f) = f**2 - f + 1. Let m be w(l). Solve 0 = 3*n - y*n + m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**4 + 16*v**3\/3 + 10*v**2 + 8*v + 23. What is q in p(q) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k + 3*s - 213, s = 1. Suppose -n + 4*l = 2*n - k, 3*l + 105 = 3*n. Suppose -5*i + 4*i + 7 = 0. Calculate the greatest common factor of i and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -15*r - 6. Let t be 0 + 8*4\/(-8). Is 9 a factor of a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3430811.\nAnswer: 19, 180569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 12*f**4 + 272*f**3 + 668*f**2 + 568*f + 160 = 0.\nAnswer: -20, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 - 6*m + 12. Let i be r(-6). Suppose o - i = -3*o. Let a = 128 - o. What is the remainder when a is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 6) to base 16\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57159 - 33386. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-160)*8)\/(3\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*t + 5, 0*j = -2*j + 3*t + 19. Suppose 4*r + 42 = -j*r. What is the tens digit of (-6345)\/(-63) + (-2)\/r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 22, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 4)*(-4 + 15*u**4 + 4)*(-4 + 1 + 6)*((2 - 3 - 1)*(1 + 1 - 1) + 1 - 3 - 8).\nAnswer: 2160*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(7) - sqrt(126)\/sqrt(2))**2 - (sqrt(7) + (sqrt(7) + sqrt(49)\/sqrt(7))**2 + -5 + sqrt(7))) + sqrt(175)*2*6 + sqrt(175) + -2 + -3.\nAnswer: 63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x\/(x\/(x\/(x\/(x*(x*x**(1\/4)*x)\/x)*x))))\/x))\/x*x)**(-43)\/((x\/x**(-1))\/x)**44)**(-18) assuming x is positive.\nAnswer: x**(2745\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/451404 and 137\/108.\nAnswer: 1354212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/44536 - -1514185\/578968. Factor 2\/13*q**3 + 160\/13*q + 128\/13 + s*q**2.\nAnswer: 2*(q + 1)*(q + 8)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4 = -2*b, 3*b - 72*s + 247*s + 14 = 171*s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(1\/13))\/j)\/j*j*j*j\/(j**(-9)\/j)*j*j)\/(j\/j**(-1\/6))**(-48) assuming j is positive.\nAnswer: j**(924\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 + 57.8. Let z = 0.4 - 0.2. What is the third smallest value in 3, l, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122560 at least as big as 122555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1012 divided by 204.\nAnswer: -253\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 3532841?\nAnswer: 2\/3532841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-6))\/(-1))\/(78\/156)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 77, 786, 2711, 6458, 12633?\n\"Answer: 101*f**3 + 2*f**2 - 4*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74471.7 - -74472. Suppose 2*c - 20 = 7*c. What is the second biggest value in -1.2, c, o?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209003945 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 29. Let g = 2 - 0. Suppose -l + 2*a - 1 = 0, -g*l + 4*l = -4*a + 22. Solve l*m - u = u - v, -8 = m - u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8814 by 55.\nAnswer: -8814\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqdq when four letters picked without replacement from {d: 7, l: 4, q: 2, o: 2, i: 1}.\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-8))\/((-18)\/(-144)). Suppose -v*s - 43 = -145. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*t**3 + 233*t**3 - 417*t**3.\nAnswer: 61*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3188, -3143, -3076, -2993, -2900, -2803?\nAnswer: -2708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203132, -204676, -206220, -207764, -209308, -210852?\nAnswer: -212396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3 = f, -2*x - f = -37. Let z = 29 - x. Calculate the lowest common multiple of z and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00075718 to five dps.\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*i - 3*g + 138, 5*i + g - 280 = 0. Suppose -d + 2 = -5*c + 13, i = 5*d + 3*c. Let u(o) = 3*o + d*o - 2 - 4 - 9*o. Calculate u(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 266 = -18*g - 108 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14400391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28235*u**4 + 60776 wrt u?\nAnswer: 112940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -12. Is -3\/20 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (1 - -76)\/1. Let v = -18 - -29. Calculate the highest common divisor of v and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -18\/11 (c) -7842\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -74. What is the greatest common divisor of s and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 + 192. Let f = d - 39. Let x = 40 + -28. Calculate the remainder when f is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16591)\/235*(1 - 6) is divided by 88?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z + 10 = 0. Let t be 4 - (z - 12\/4). Suppose 0 = 3*g + 7*s - 5*s + 4, -3*g + 6 = -3*s. Solve t*c + 0*c = g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3943*h**2 + 0*h + 0*h + 13055*h**2.\nAnswer: 9112*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-47 - -81) + -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2839 is divided by 704?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-1\/5))**34\/(r**(-2\/11)*r*(r*r**14\/r)\/r) assuming r is positive.\nAnswer: r**(2606\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h = 20. Suppose a + h*a = 5. Let i = a + 5. Calculate the remainder when 15 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 22*u - 113. Give g(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + 4. Suppose -5*i + 2 = -4*u + 1, 5*i + 27 = -3*u. Calculate t(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/27 and 4\/1125?\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 414 - 400 = 2*w, 12 = -4*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2474*b - 2472*b - 504. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 - 680\/(-1 + -7). Suppose j*d - 2156 = 73*d. What is the remainder when d is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -407513 or -407515?\nAnswer: -407513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a + a = 0. Solve a = -0*k - 3*k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/4 + 807179*o**2\/4 - 8071715*o\/4 + 20179225\/4 = 0.\nAnswer: 5, 807169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139212 = -34*a - 140436 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 19\/2, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 412397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1467 - 5*h**2 + 3*h**3 + 1467 in the form n*h**2 + p*h + f*h**3 + u and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 537400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7 = -3. Suppose v*x = -3*x + 300. Suppose 2*y - 4*j - x = -3*y, 0 = j. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -126*c - 9. Let k be a(-2). Suppose -5*b + k = -392. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asqsassaqqsaaas. What is prob of sequence sqa?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 2*j. Let z(i) = 2*i**2 + 2*i. Suppose u + 7 = 5. Calculate u*z(c) - 3*y(c).\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/2300)\/((-4)\/(-48))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32154 + 32154 + 27*i.\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 674222010*p**3 + 263069355*p**2?\nAnswer: 4045332060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198012 and 1048988?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*o - 30300 = -76*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by (8\/(-10))\/(46\/(-1955))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22a91 (base 13) to base 7\nAnswer: 352422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 11:39 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3435*p. Let k(t) = 22*t**2. What is k(v(y))?\nAnswer: 259582950*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/(-28))\/((-2)\/(-8)). Is 3*(-488)\/(-12)*w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p**2 + 3*p. Let f be x(-2). Let n be 5*(34\/f - 1). Factor -n*r**3 - 2\/3*r + 0 + 4\/3*r**2.\nAnswer: -2*r*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/25)\/((-10220)\/14600)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1017 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 13 = 2*z, 6*h - h + 3*z = -28 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 378, 991, 1834, 2907, 4210?\n\"Answer: 115*m**2 + 268*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 - 4*t - 1. Let r be x(5). Suppose -4*o = -h - 18, 0*o + r*o + h = 14. Solve -3 + o = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -619334.\nAnswer: -45\/619334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -72*x. Let b(l) = 0 - 2*l**2 + 0*l**2 - 31 + 31. Calculate b(t(c)).\nAnswer: -10368*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 2*l - 3*l)*(2 + 4 - 4) - 24 + 24 - 7*l to the form r + k*l and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -2104?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22282579 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.60817 kilograms to grams.\nAnswer: 25608.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = -4*i - 32, 5*i + 10 = v. Let p = -0.9 + -0.1. What is the second biggest value in p, i, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 503 + -250. Calculate the highest common divisor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7*(k\/(k\/k**(-4)*k))\/k)\/((k*k**(4\/7))\/(k*k**(3\/10)\/k)) assuming k is positive.\nAnswer: k**(-19\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*2\/6 + 51\/9. Suppose -12*x + a*x = 2868. Let m = -215 - x. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 640442824.\nAnswer: 640442831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 111.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 23, 29, 33?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*p + 137*p - 10 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 0*b + 6*b - 2 + 2 + 3*b + (4 - 2 - 3)*(2*b - 4*b + 0*b) - 4*b + 2*b + 0*b - 2*b + 0*b - b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 30*f = -33*f + 25, -4*f + 20 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**2 - 64*f + 474. What is q(-20)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from cnszhzw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43c8b - -26?\nAnswer: -43c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-107)\/7 + 2\/7. Let h be p\/(-6)*76\/10. Let x = 34 - h. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441957327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = h - 156985, -12 = 4*q - 0. What is h rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w + 26*w + 97*w**2 + 129*w**2 + 18*w + 20*w**2 - 58*w.\nAnswer: 246*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1447 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23057 + -207511\/9. Which is the fourth biggest value? (a) 790 (b) 2\/5 (c) p (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(2835\/(-18)))\/(2\/448*-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34413989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, c: 1, d: 1, a: 1, u: 1, p: 2}. Give prob of sequence pca.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -77.00164. What is t rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/882 - (6\/27)\/(-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by -2\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -38. Suppose w - r = -w. Let o(s) = -16*s - 2. Calculate the least common multiple of w and o(-1).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728505?\nAnswer: 3, 5, 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7 + 44 = 0. Let p = z + -49. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1188 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -114*b**2 - 3\/2*b**3 + 0 - 225\/2*b = 0.\nAnswer: -75, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/1317 and -113\/300276.\nAnswer: 300276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 85, 110, 135, 160, 185?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from awwgaaaggggggw.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**3 - 496100*k**2 + 148560000*k - 11135250000 = 0 for k.\nAnswer: 150, 123725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -7\/6*h**3 + 0*h**4 + 0 + 6*h + 0*h**6 + 0*h**2 + 0*h**5 + 11\/42*h**7. Find the second derivative of a(x) wrt x.\nAnswer: 220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*u**2 + u**4 - 2*u**4 + 2*u + 1 + 12*u**2 in the form y*u**2 + c*u**4 + v*u + j*u**3 + d and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -16*g - 127. Let c be p(-8). Let j(v) be the first derivative of 9*v**4\/2 - v**3\/3 - v**2\/2 + v + 2. Determine j(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, o: 3, t: 2, u: 1, j: 3, e: 1}. Give prob of sequence got.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/(-2023)*(-41157)\/(-4842)?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4)\/(n*n*n\/(n**3\/n)))\/(((n*n**9)\/n)\/(n**5\/n)))**(-5\/13) assuming n is positive.\nAnswer: n**(115\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z + 2*z + 2*z)*((0*z + 0*z - z)*(4 - 3 + 2) + 4*z - 3*z - 4*z) as m*z**2 + n + r*z and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(135)\/(sqrt(12)\/sqrt(4))*3)\/(3*-1*sqrt(1089) + (sqrt(1089) + (sqrt(1089) + sqrt(1089)*2)*6 - sqrt(1089))))**2*4.\nAnswer: 36\/605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00611473 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 7, 5, 2\/7, 4, -123?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 56.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51952 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 555544448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642*v - 6111*v + 229602 = 0 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14456 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 58*s**3 - 2*s**2 + 12*s + 1. Let z(x) = 232*x**3 - 9*x**2 + 49*x + 5. Let v(h) = -9*r(h) + 2*z(h). Find the second derivative of v(m) wrt m.\nAnswer: -348*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 11*n - 43. Determine f(-13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + 150 = 12*r. Let c = r - -46. Find f such that -16 + 48*f**2 - 29*f**2 + c*f - 23*f**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 6*c**2 + 6*c - 4. Let j(u) = -u**2 - 6 + 34*u - 62 - 47. Let z be j(30). What is v(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/216 - (-17)\/36\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 146, 1292, 4394, 10430, 20378, 35216, 55922, 83474?\n\"Answer: 163*n**3 + 5*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -17. Suppose -q + 4*q - z = 0. Suppose q*x = -x - 5*l + 150, -x = -4*l - 67. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 3c?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*d - 2*d = 24, 4 = 4*d. Suppose 3*i - 2490 = -v*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13526, -29915, -46280, -62609, -78890, -95111, -111260, -127325?\n\"Answer: 2*m**3 - 16403*m + 2875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-0.06\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 885*z - 294 - 26*z**2 + 13*z**2 + 6*z**2 - 2*z**2 = 0.\nAnswer: 1\/3, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*i + (5*i + i - 4*i)*(-1 - 2 + 1) + (3 + 0 + 0)*(-4 + 4 - i) + 4*i + 2*i + i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -605 - 16?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 213 = -r - 3*u, 4*r = 2*u + 274. Let p = r + -27. What is the remainder when p is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 + f**2 + 2*f + 3. Let a be d(-5). Let k = -1306 - a. Let h = -11249 - k. Round h to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 598573 + 51.51.\nAnswer: 598624.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (81\/(-540))\/((-6)\/8). What is the third smallest value in u, -3, -58, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166841 is divided by 33365.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87027176731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(6\/18) + (-20)\/(-1). Is 25 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 0*w + 2*w**3 - 8 - 13\/2*w**2. Find the second derivative of y(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 29.2. Let m = -12 - -37\/3. Put m, 0.3, -2\/11, r in increasing order.\nAnswer: -2\/11, r, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*x = -114 - 161. Let t(q) = -5*q**3 - q**2 - 2*q + 2. Let p(m) = 10*m**3 + 3*m**2 + 5*m - 5. What is x*t(i) + 2*p(i)?\nAnswer: -5*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2 + 1. Find the third derivative of -d**g - 3*d**2 + 2*d**3 + 4*d**5 - d**3 wrt d.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 12:17 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**5\/20 + q**4\/3 + q**3\/6 + 5*q**2\/2 - 5*q. Suppose -o + h = -9, -3*o + 37 = -6*h + h. Does 2 divide x(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/132 and -101\/198.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3. Suppose w = i - 7 - 5. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001553317152 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3\/2, -486\/37 in ascending order.\nAnswer: -486\/37, -0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4934.\nAnswer: 2, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.20000091 + 2.2. What is b rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -18. Let c = k + -0.5. Suppose -5*a = 3*s + s + 20, -3*a + 3*s + 15 = 0. What is the closest to a in 0.4, -4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.95 + -0.05. What is the closest to 2 in d, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92.7 * 45903\nAnswer: -4255208.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.3 + 10.7. Round j to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139 divided by -4\nAnswer: -139\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3276?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -955 or -957?\nAnswer: -957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + (-48 - -7) - ((0 - 7) + -1) - -10?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -146*r + 150*r + 16, -4*u = -r - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -65*q**3 - 40*q**2 + 235*q - 130. Let h(f) = -5*f**3 - 3*f**2 + 18*f - 10. Let k(m) = 40*h(m) - 3*w(m). Let k(s) = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = 0, -3*k + v + 24 = -68. Suppose 0 = 23*u - 29*u + k. Solve u = 4*g - g + 5*l, 0 = -3*l - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-224)*7*8\/30.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 1:35 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 0*m**3 - 2*m - m**3 - 22 - 5*m**3 - 38*m**3 to d*m + q*m**2 + i*m**3 + j and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(720))**2 - -5*(sqrt(720)*-2 + sqrt(720))**2.\nAnswer: 24*sqrt(5) + 4321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Let l = -38 - -17. Let k be (-87)\/(-4) - l\/(-28). Calculate the highest common divisor of k and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 5*n**3 + 2*n**3 + 2*n**3 - n**3 - n**3 + 6*n**3 + (-2*n**2 - 3*n**2 + 7*n**2)*(0*n + 5*n - 3*n) in the form m + l*n + h*n**3 + o*n**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277979062?\nAnswer: 2, 293, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -30*r**2 + 52*r. Let h(p) = -2*p**2. Let b = -109 - -103. Let q(k) = b*h(k) - y(k). Find the second derivative of q(c) wrt c.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Let w(y) = 2*y**3 + y. Let a be w(1). What is the derivative of -m**a + 0 + 0*m**n - 2 wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 - 34 = -21*n - 22. Solve 0 = -19*r + 15*r + n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2099*s + 186*s**3 - 30*s**3 - 517*s - 1152*s**3 wrt s.\nAnswer: -5976*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/(-5))\/(5\/(-25)). Calculate the greatest common divisor of 42 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.489 less than or equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p. Let v be (-2)\/2 - (-3)\/(5 - 4). Determine f(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.389 - 4.489. Which is the biggest value? (a) -7 (b) -1\/16 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*y + 10783 = 0, 236*p - 3*y = 240*p - 43208. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97723506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*s - 293 = 3*s, -s = -3*w + 218. What are the prime factors of w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1937 and 7371.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 3*w**2 + 5*w + 6. Suppose 7*v - 11*v = 16. Calculate the remainder when 4 is divided by z(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {g: 2, m: 1, v: 1, n: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -206922 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -22*w**3 - 3*w**2 - 2*w. Let n be h(-1). Let q = 8 + n. Suppose g - q = -2*j, 0 = -j + 5*g - g + 19. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q - 1. Let t(b) = 169*b - 4. Calculate -4*a(r) + t(r).\nAnswer: 181*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205229419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12\/7, 0.9, 0.5, -2, 5, 94, -1.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3 + 3*j + 8 + j**2 + 0*j**2. Let s = -64 - -59. Let z be o(s). What is the highest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 61, 1\/3, 2, -0.05 in decreasing order.\nAnswer: 61, 2, 0.5, 1\/3, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 55, -1, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v**2 + 7*v + 11. Let l(w) = -4*w**2 + 2*w + 4. Let b(f) = -8*l(f) + 3*s(f). Let z(p) = -p + 12. Let o be z(9). Is b(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w - 26. Let z(q) = 2*q - 9. Let y(g) = -2*m(g) + 7*z(g). Let n be y(12). What is the units digit of (0 - -5) + -2 + 559\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 0)*(3*p - 4*p - p) - 3 + 2 - 98*p + 113*p.\nAnswer: 27*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.99 + 5. Let f = -0.19 - v. Let d be (-2)\/4 + (-22)\/(-28). Which is the biggest value? (a) d (b) f (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9692 - -0.0332. What is g rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z = 0. Suppose q - 3 = -z. Let h(v) = -v**3 + 3*v**2 - 3*v. Let u be h(2). Put -4, u, q in increasing order.\nAnswer: -4, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2\/5)*s*s*s*s*s)\/s)\/s**(1\/7))**47\/((s*s\/s**(-1))\/((s\/s**(-3\/7))\/s)*s**(3\/5)*s**(-2\/13)*s) assuming s is positive.\nAnswer: s**(93488\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 11 + 10 - 8*v + 13.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + -34?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*h - 48. Find the common denominator of (66\/h)\/((-9)\/(-84)) and -89\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162105 is divided by 1977.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 2\/((-32)\/(-24)). Suppose 0 = 5*a + 3 + 2. Let q = 1.1 + -0.1. Sort n, q, a in descending order.\nAnswer: q, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 33.8036.\nAnswer: 30.8036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 2, f: 1, n: 1, r: 2, o: 1}. What is prob of sequence rr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2292 + 2292. Let p(w) = -47*w + 1. Calculate p(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 1404a?\nAnswer: 14047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (138 + -4 - 9)*1. Solve -36*h + k = -11*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8881 + 8886. Let r = 1 - -19. Solve -4*s + 13 = -d*m, 0*s - m - r = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4243.\nAnswer: 1\/4243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccccc. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 11:31 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35280 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 2015140152?\nAnswer: -2015140155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/1*(-3)\/6*2. Suppose f + r = 11. Solve -1 = -5*u + f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 28*a = -17*a + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1223)\/(1\/(2 - 3)). Let n = 8541\/7 - k. What is the common denominator of n and 69\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -277608 by 2.\nAnswer: -138804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -23. Which is the third biggest value? (a) 7 (b) -4 (c) 5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 + (2 - 3)) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11348640 and -0.3?\nAnswer: 3404592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -711 - -712. Which is the third smallest value? (a) 0.5 (b) 0.042 (c) 4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 139 (c) 3 (d) -7\/34 (e) -1 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6310395 and 28743.\nAnswer: 2613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/12 + -37\/60. Is 11 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - p + 53 + p - 26 + 2970*p**2 to s*p + k*p**2 + w and give k.\nAnswer: 2970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*150794.\nAnswer: 75397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -6. Let o = 2.8 + w. Let z = -7 + 2. Which is the biggest value? (a) o (b) z (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2. Let n(s) = s. Determine t(n(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 270 = 13*a. Calculate the greatest common factor of a and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2. Let i(l) = 437*l + 34 + 285*l - 710*l. Determine i(x(n)).\nAnswer: -12*n**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1353*t + 7427 + 37222 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -38, -97, -212, -401, -682, -1073, -1592?\nAnswer: -2257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 362 and 422 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 4*w**2 - 3*w - 4. What is s(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -28324721 (base 9) to base 16\nAnswer: -d5cb65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 361*j**2 - 4*j + 24. Is g(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-842)\/((-1408)\/(-144) - 10) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v - 1. Let s be u(-3). Let z = 6 - s. Sort z, 1, 3 in ascending order.\nAnswer: z, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1539))**2 + -4 - (sqrt(1539) - (sqrt(1539) - (sqrt(1539)*2)**2*2)).\nAnswer: -10776 - 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10629526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}